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._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2008
\ MAPLE / All rights reserved. Maple is a trademark of
<____ ____> Waterloo Maple Inc.
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> #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_0D1,
> array_const_0D2,
> array_const_0D3,
> #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_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_0D1, array_const_0D2, array_const_0D3,
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_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_0D1,
> array_const_0D2,
> array_const_0D3,
> #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_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_0D1, array_const_0D2, array_const_0D3,
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_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_0D1,
> array_const_0D2,
> array_const_0D3,
> #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_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_0D1, array_const_0D2, array_const_0D3,
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_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_0D1,
> array_const_0D2,
> array_const_0D3,
> #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_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_0D1, array_const_0D2, array_const_0D3,
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_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_0D1,
> array_const_0D2,
> array_const_0D3,
> #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_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_0D1, array_const_0D2, array_const_0D3,
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_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_0D1,
> array_const_0D2,
> array_const_0D3,
> #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_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_0D1, array_const_0D2, array_const_0D3,
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_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_0D1,
> array_const_0D2,
> array_const_0D3,
> #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_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_0D1, array_const_0D2, array_const_0D3,
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_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_0D1,
> array_const_0D2,
> array_const_0D3,
> #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_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_0D1, array_const_0D2, array_const_0D3,
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_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_0D1,
> array_const_0D2,
> array_const_0D3,
> #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_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 CONST - LINEAR $eq_no = 1 i = 1
> array_tmp1[1] := array_const_0D1[1] * array_x[1];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 1
> array_tmp2[1] := array_tmp1[1] + array_const_0D2[1];
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 1
> array_tmp3[1] := array_const_0D2[1] * array_x[1];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 1
> array_tmp4[1] := array_tmp3[1] + array_const_0D3[1];
> #emit pre div LINEAR - LINEAR $eq_no = 1 i = 1
> array_tmp5[1] := array_tmp2[1] / array_tmp4[1];
> #emit pre add CONST FULL $eq_no = 1 i = 1
> array_tmp6[1] := array_const_0D0[1] + array_tmp5[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_tmp6[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 CONST - LINEAR $eq_no = 1 i = 2
> array_tmp1[2] := array_const_0D1[1] * array_x[2];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 2
> array_tmp2[2] := array_tmp1[2];
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 2
> array_tmp3[2] := array_const_0D2[1] * array_x[2];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 2
> array_tmp4[2] := array_tmp3[2];
> #emit pre div LINEAR - LINEAR $eq_no = 1 i = 2
> array_tmp5[2] := (array_tmp2[2] - array_tmp5[1] * array_tmp4[2]) / array_tmp4[1];
> #emit pre add CONST FULL $eq_no = 1 i = 2
> array_tmp6[2] := array_tmp5[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_tmp6[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 div LINEAR - LINEAR $eq_no = 1 i = 3
> array_tmp5[3] := - array_tmp5[2] * array_tmp4[2] / array_tmp4[1];
> #emit pre add CONST FULL $eq_no = 1 i = 3
> array_tmp6[3] := array_tmp5[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_tmp6[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 div LINEAR - LINEAR $eq_no = 1 i = 4
> array_tmp5[4] := - array_tmp5[3] * array_tmp4[2] / array_tmp4[1];
> #emit pre add CONST FULL $eq_no = 1 i = 4
> array_tmp6[4] := array_tmp5[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_tmp6[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 div LINEAR - LINEAR $eq_no = 1 i = 5
> array_tmp5[5] := - array_tmp5[4] * array_tmp4[2] / array_tmp4[1];
> #emit pre add CONST FULL $eq_no = 1 i = 5
> array_tmp6[5] := array_tmp5[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_tmp6[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 div LINEAR - LINEAR (NOP) $eq_no = 1 i = 1
> array_tmp5[kkk] := - array_tmp5[kkk-1] * array_tmp4[2] / array_tmp4[1];
> #emit NOT FULL - FULL add $eq_no = 1
> array_tmp6[kkk] := array_tmp5[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_tmp6[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_0D1, array_const_0D2, array_const_0D3,
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_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_const_0D1[1]*array_x[1];
array_tmp2[1] := array_tmp1[1] + array_const_0D2[1];
array_tmp3[1] := array_const_0D2[1]*array_x[1];
array_tmp4[1] := array_tmp3[1] + array_const_0D3[1];
array_tmp5[1] := array_tmp2[1]/array_tmp4[1];
array_tmp6[1] := array_const_0D0[1] + array_tmp5[1];
if not array_y_set_initial[1, 2] then
if 1 <= glob_max_terms then
temporary := array_tmp6[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_const_0D1[1]*array_x[2];
array_tmp2[2] := array_tmp1[2];
array_tmp3[2] := array_const_0D2[1]*array_x[2];
array_tmp4[2] := array_tmp3[2];
array_tmp5[2] :=
(array_tmp2[2] - array_tmp5[1]*array_tmp4[2])/array_tmp4[1];
array_tmp6[2] := array_tmp5[2];
if not array_y_set_initial[1, 3] then
if 2 <= glob_max_terms then
temporary := array_tmp6[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_tmp5[3] := -array_tmp5[2]*array_tmp4[2]/array_tmp4[1];
array_tmp6[3] := array_tmp5[3];
if not array_y_set_initial[1, 4] then
if 3 <= glob_max_terms then
temporary := array_tmp6[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_tmp5[4] := -array_tmp5[3]*array_tmp4[2]/array_tmp4[1];
array_tmp6[4] := array_tmp5[4];
if not array_y_set_initial[1, 5] then
if 4 <= glob_max_terms then
temporary := array_tmp6[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_tmp5[5] := -array_tmp5[4]*array_tmp4[2]/array_tmp4[1];
array_tmp6[5] := array_tmp5[5];
if not array_y_set_initial[1, 6] then
if 5 <= glob_max_terms then
temporary := array_tmp6[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_tmp5[kkk] := -array_tmp5[kkk - 1]*array_tmp4[2]/array_tmp4[1]
;
array_tmp6[kkk] := array_tmp5[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_tmp6[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(0.5 * x + 0.25 * ln(2.0 * x + 3.0));
> end;
exact_soln_y := proc(x) return 0.5*x + 0.25*ln(2.0*x + 3.0) 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_0D1,
> array_const_0D2,
> array_const_0D3,
> #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_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/div_lin_linpostode.ode#################");
> omniout_str(ALWAYS,"diff ( y , x , 1 ) = (0.1 * x + 0.2) / (0.2 * x + 0.3);");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"Digits:=32;");
> omniout_str(ALWAYS,"max_terms:=30;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#END FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"x_start := 0.1;");
> omniout_str(ALWAYS,"x_end := 5.0 ;");
> omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);");
> omniout_str(ALWAYS,"glob_h := 0.05;");
> omniout_str(ALWAYS,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_max_iter := 1000000;");
> omniout_str(ALWAYS,"glob_display_interval := 0.1;");
> omniout_str(ALWAYS,"glob_max_minutes := 10;");
> 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(0.5 * x + 0.25 * ln(2.0 * x + 3.0));");
> omniout_str(ALWAYS,"end;");
> 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_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_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_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_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_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_0D1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_0D1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_0D1[1] := 0.1;
> array_const_0D2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_0D2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_0D2[1] := 0.2;
> array_const_0D3 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_0D3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_0D3[1] := 0.3;
> 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 := 0.1;
> x_end := 5.0 ;
> array_y_init[0 + 1] := exact_soln_y(x_start);
> glob_h := 0.05;
> glob_look_poles := true;
> glob_max_iter := 1000000;
> glob_display_interval := 0.1;
> glob_max_minutes := 10;
> #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 ) = (0.1 * x + 0.2) / (0.2 * x + 0.3);");
> 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,"2012-12-14T21:34:32-06:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"div_lin_lin")
> ;
> logitem_str(html_log_file,"diff ( y , x , 1 ) = (0.1 * x + 0.2) / (0.2 * x + 0.3);")
> ;
> 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,"div_lin_lin diffeq.mxt")
> ;
> logitem_str(html_log_file,"div_lin_lin 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_0D1, array_const_0D2, array_const_0D3,
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_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/div_lin_linpostode.ode#################");
omniout_str(ALWAYS,
"diff ( y , x , 1 ) = (0.1 * x + 0.2) / (0.2 * x + 0.3);");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK");
omniout_str(ALWAYS, "Digits:=32;");
omniout_str(ALWAYS, "max_terms:=30;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#END FIRST INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK");
omniout_str(ALWAYS, "x_start := 0.1;");
omniout_str(ALWAYS, "x_end := 5.0 ;");
omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);");
omniout_str(ALWAYS, "glob_h := 0.05;");
omniout_str(ALWAYS, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_max_iter := 1000000;");
omniout_str(ALWAYS, "glob_display_interval := 0.1;");
omniout_str(ALWAYS, "glob_max_minutes := 10;");
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(0.5 * x + 0.25 * ln(2.0 * x + 3.0));");
omniout_str(ALWAYS, "end;");
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_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_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_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_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_m1[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_0D1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D1[term] := 0.; term := term + 1
end do;
array_const_0D1[1] := 0.1;
array_const_0D2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D2[term] := 0.; term := term + 1
end do;
array_const_0D2[1] := 0.2;
array_const_0D3 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D3[term] := 0.; term := term + 1
end do;
array_const_0D3[1] := 0.3;
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 := 0.1;
x_end := 5.0;
array_y_init[1] := exact_soln_y(x_start);
glob_h := 0.05;
glob_look_poles := true;
glob_max_iter := 1000000;
glob_display_interval := 0.1;
glob_max_minutes := 10;
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 ) = (0.1 * x + 0.2) / (0.2 * x + 0.3);");
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, "2012-12-14T21:34:32-06:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file,
"div_lin_lin");
logitem_str(html_log_file,
"diff ( y , x , 1 ) = (0.1 * x + 0.2) / (0.2 * x + 0.3);");
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, "div_lin_lin diffeq.mxt");
logitem_str(html_log_file, "div_lin_lin 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/div_lin_linpostode.ode#################
diff ( y , x , 1 ) = (0.1 * x + 0.2) / (0.2 * x + 0.3);
!
#BEGIN FIRST INPUT BLOCK
Digits:=32;
max_terms:=30;
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start := 0.1;
x_end := 5.0 ;
array_y_init[0 + 1] := exact_soln_y(x_start);
glob_h := 0.05;
glob_look_poles := true;
glob_max_iter := 1000000;
glob_display_interval := 0.1;
glob_max_minutes := 10;
#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(0.5 * x + 0.25 * ln(2.0 * x + 3.0));
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 = 4.9
estimated_steps = 4900
step_error = 2.0408163265306122448979591836735e-14
est_needed_step_err = 2.0408163265306122448979591836735e-14
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
value3 = 3.2037077623281316198907713531680e-83
max_value3 = 3.2037077623281316198907713531680e-83
value3 = 3.2037077623281316198907713531680e-83
best_h = 0.001
START of Soultion
x[1] = 0.1
y[1] (analytic) = 0.34078770245142021576704228815162
y[1] (numeric) = 0.34078770245142021576704228815162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.101
y[1] (analytic) = 0.3414439036436307358731009438842
y[1] (numeric) = 0.34144390364363073578624131989993
absolute error = 8.685962398427e-20
relative error = 2.5438914872214697302658477140729e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.102
y[1] (analytic) = 0.34210000730152819697219897334455
y[1] (numeric) = 0.3421000073015281967988046979488
absolute error = 1.7339427539575e-19
relative error = 5.0685259191742621574530608736312e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.103
y[1] (analytic) = 0.34275601354684030272746152619522
y[1] (numeric) = 0.34275601354684030246785615436808
absolute error = 2.5960537182714e-19
relative error = 7.5740573926258156192910642341402e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.621
Order of pole = 1.837
x[1] = 0.104
y[1] (analytic) = 0.3434119225010670155121002719177
y[1] (numeric) = 0.34341192250106701516660594810933
absolute error = 3.4549432380837e-19
relative error = 1.0060638585059507194506640854486e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.4736
Order of pole = 0.5436
x[1] = 0.105
y[1] (analytic) = 0.34406773428548112416591528614428
y[1] (numeric) = 0.34406773428548112373485275129819
absolute error = 4.3106253484609e-19
relative error = 1.2528420769860019348971443618792e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.106
y[1] (analytic) = 0.34472344902112880998363557856672
y[1] (numeric) = 0.34472344902112880946732417710373
absolute error = 5.1631140146299e-19
relative error = 1.4977553831313175655417948849819e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 8.877
Order of pole = 15.78
x[1] = 0.107
y[1] (analytic) = 0.34537906682883021094170204116625
y[1] (numeric) = 0.34537906682883021034045972792924
absolute error = 6.0124231323701e-19
relative error = 1.7408186279424559257775337544298e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.001
Order of pole = 1.275
x[1] = 0.108
y[1] (analytic) = 0.34603458782917998417006783876648
y[1] (numeric) = 0.34603458782917998348421118592656
absolute error = 6.8585665283992e-19
relative error = 1.9820465264544399215508753754455e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.109
y[1] (analytic) = 0.346690012142547866675562650194
y[1] (numeric) = 0.34669001214254786590540685411789
absolute error = 7.7015579607611e-19
relative error = 2.2214536591825625480231697101422e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.11
y[1] (analytic) = 0.3473453398890792343233386968357
y[1] (numeric) = 0.34734533988907923346919758491477
absolute error = 8.5414111192093e-19
relative error = 2.4590544735498400670835760470913e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.9944
Order of pole = 0.6907
x[1] = 0.111
y[1] (analytic) = 0.34800057118869565908288816531788
y[1] (numeric) = 0.34800057118869565814507420275921
absolute error = 9.3781396255867e-19
relative error = 2.6948632852966238272139969648153e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.4826
Order of pole = 0.5449
x[1] = 0.112
y[1] (analytic) = 0.34865570616109546454509344160728
y[1] (numeric) = 0.34865570616109546352391773818672
absolute error = 1.02117570342056e-18
relative error = 2.9288942798737055959160997425531e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.113
y[1] (analytic) = 0.3493107449257542797167435242627
y[1] (numeric) = 0.34931074492575427861251584104037
absolute error = 1.10422768322233e-18
relative error = 3.1611615138178263411997645110452e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.114
y[1] (analytic) = 0.34996568760192559109892207407025
y[1] (numeric) = 0.34996568760192558991195083006859
absolute error = 1.18697124400166e-18
relative error = 3.3916789161107719214834689685816e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.8157
Order of pole = 0.6277
x[1] = 0.115
y[1] (analytic) = 0.35062053430864129305564478509808
y[1] (numeric) = 0.35062053430864129178623706394267
absolute error = 1.26940772115541e-18
relative error = 3.6204602895219663740097042110390e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.116
y[1] (analytic) = 0.3512752851647122364790961275377
y[1] (numeric) = 0.35127528516471223512755768406131
absolute error = 1.35153844347639e-18
relative error = 3.8475193119341045847698068089549e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.097
Order of pole = 1.342
memory used=3.8MB, alloc=2.9MB, time=0.38
x[1] = 0.117
y[1] (analytic) = 0.35192994028872877575778801479478
y[1] (numeric) = 0.35192994028872877432442328160449
absolute error = 1.43336473319029e-18
relative error = 4.0728695376538164515699502020389e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.118
y[1] (analytic) = 0.35258449979906131405393558538745
y[1] (numeric) = 0.35258449979906131253904767939543
absolute error = 1.51488790599202e-18
relative error = 4.2965243987054393111752658374508e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.596
Order of pole = 1.787
x[1] = 0.119
y[1] (analytic) = 0.3532389638138608468963180635543
y[1] (numeric) = 0.35323896381386084530020879247221
absolute error = 1.59610927108209e-18
relative error = 4.5184972061099104662945724731994e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.841
Order of pole = 1.146
x[1] = 0.12
y[1] (analytic) = 0.35389333245105950409486557030942
y[1] (numeric) = 0.35389333245105950241783543910695
absolute error = 1.67703013120247e-18
relative error = 4.7388011511473991342659037210157e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.121
y[1] (analytic) = 0.35454760582837108998318579826742
y[1] (numeric) = 0.35454760582837108822553401559472
absolute error = 1.75765178267270e-18
relative error = 4.9574493066060686387949011072490e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.754
Order of pole = 1.944
x[1] = 0.122
y[1] (analytic) = 0.35520178406329162199521763814805
y[1] (numeric) = 0.35520178406329162015724212272285
absolute error = 1.83797551542520e-18
relative error = 5.1744546280142004400865304480888e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.123
y[1] (analytic) = 0.35585586727309986758217215172808
y[1] (numeric) = 0.35585586727309986566416953868729
absolute error = 1.91800261304079e-18
relative error = 5.3898299548587410335928307672662e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.124
y[1] (analytic) = 0.35650985557485787947589472439618
y[1] (numeric) = 0.35650985557485787747816037161232
absolute error = 1.99773435278386e-18
relative error = 5.6035880117888838671416173105724e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.125
y[1] (analytic) = 0.35716374908541152930475579966225
y[1] (numeric) = 0.35716374908541152722758379402494
absolute error = 2.07717200563731e-18
relative error = 5.8157414098052225119507843140459e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.126
y[1] (analytic) = 0.3578175479213910395681512972479
y[1] (numeric) = 0.3578175479213910374118344609107
absolute error = 2.15631683633720e-18
relative error = 6.0263026474345002955599140068999e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.127
y[1] (analytic) = 0.35847125219921151397566764502235
y[1] (numeric) = 0.35847125219921151174049754161491
absolute error = 2.23517010340744e-18
relative error = 6.2352841118910690556623878914005e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.742
Order of pole = 1.92
x[1] = 0.128
y[1] (analytic) = 0.3591248620350734661569403123295
y[1] (numeric) = 0.35912486203507346384320725313562
absolute error = 2.31373305919388e-18
relative error = 6.4426980802234523293012735591965e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.129
y[1] (analytic) = 0.35977837754496334674820881747078
y[1] (numeric) = 0.35977837754496334435620186757219
absolute error = 2.39200694989859e-18
relative error = 6.6485567204484061547121304621010e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.455
Order of pole = 2.749
x[1] = 0.13
y[1] (analytic) = 0.36043179884465406886154539455255
y[1] (numeric) = 0.36043179884465406639155237893889
absolute error = 2.46999301561366e-18
relative error = 6.8528720926707851218440165791986e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.131
y[1] (analytic) = 0.3610851260497055319427088438793
y[1] (numeric) = 0.36108512604970552939501635352442
absolute error = 2.54769249035488e-18
relative error = 7.0556561501903981994814736684487e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.132
y[1] (analytic) = 0.3617383592754651440235495548729
y[1] (numeric) = 0.36173835927546514139844295277769
absolute error = 2.62510660209521e-18
relative error = 7.2569207405957776322645954601329e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.133
y[1] (analytic) = 0.36239149863706834237486628043208
y[1] (numeric) = 0.36239149863706833967262970763393
absolute error = 2.70223657279815e-18
relative error = 7.4566776068453370762667733985644e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.2495
Order of pole = 0.5117
x[1] = 0.134
y[1] (analytic) = 0.36304454424943911256558995602425
y[1] (numeric) = 0.36304454424943910978650633757359
absolute error = 2.77908361845066e-18
relative error = 7.6549383883351211075339007603912e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.135
y[1] (analytic) = 0.36369749622729050593414469494075
y[1] (numeric) = 0.36369749622729050307849574584467
absolute error = 2.85564894909608e-18
relative error = 7.8517146219545592118275859380779e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.8442
Order of pole = 0.6333
x[1] = 0.136
y[1] (analytic) = 0.36435035468512515547781105236245
y[1] (numeric) = 0.3643503546851251525458772834956
absolute error = 2.93193376886685e-18
relative error = 8.0470177431298329892811603302860e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.854
Order of pole = 1.142
x[1] = 0.137
y[1] (analytic) = 0.3650031197372357901658917345011
y[1] (numeric) = 0.36500311973723578715795245848419
absolute error = 3.00793927601691e-18
relative error = 8.2408590868546899717229912651630e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.761
Order of pole = 1.922
x[1] = 0.138
y[1] (analytic) = 0.3656557914977057476824551344292
y[1] (numeric) = 0.36565579149770574459878847147524
absolute error = 3.08366666295396e-18
relative error = 8.4332498887093601609250223764146e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.139
y[1] (analytic) = 0.36630837008040948560440740261858
y[1] (numeric) = 0.366308370080409482445290286347
absolute error = 3.15911711627158e-18
relative error = 8.6242012858677305431336633395975e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.14
y[1] (analytic) = 0.3669608555990130910206192070108
y[1] (numeric) = 0.36696085559901308778632739022974
absolute error = 3.23429181678106e-18
relative error = 8.8137243180925217563486419075789e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.516
Order of pole = 0.927
x[1] = 0.141
y[1] (analytic) = 0.36761324816697478859780890398132
y[1] (numeric) = 0.36761324816697478528861696443821
absolute error = 3.30919193954311e-18
relative error = 9.0018299287190850930886516133221e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.142
y[1] (analytic) = 0.36826554789754544709885952717625
y[1] (numeric) = 0.36826554789754544371504087327695
absolute error = 3.38381865389930e-18
relative error = 9.1885289656275602163918695361202e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.143
y[1] (analytic) = 0.36891775490376908435922280524412
y[1] (numeric) = 0.36891775490376908090104968174069
absolute error = 3.45817312350343e-18
relative error = 9.3738321822040862575358668414501e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.848
Order of pole = 1.133
x[1] = 0.144
y[1] (analytic) = 0.36956986929848337072703934130595
y[1] (numeric) = 0.36956986929848336719478283495338
absolute error = 3.53225650635257e-18
relative error = 9.5577502382905043925750526277100e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.145
y[1] (analytic) = 0.37022189119432013097258012596165
y[1] (numeric) = 0.37022189119432012736651017114364
absolute error = 3.60606995481801e-18
relative error = 9.7402937011233483551255312637758e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.146
y[1] (analytic) = 0.37087382070370584467259071107715
y[1] (numeric) = 0.37087382070370584099297609540118
absolute error = 3.67961461567597e-18
relative error = 9.9214730462618564707100615410224e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.345
Order of pole = 0.8338
x[1] = 0.147
y[1] (analytic) = 0.37152565793886214507509564289958
y[1] (numeric) = 0.3715256579388621413222040127614
memory used=7.6MB, alloc=4.1MB, time=0.85
absolute error = 3.75289163013818e-18
relative error = 1.0101298658505442259217630478361e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.148
y[1] (analytic) = 0.3721774030118063164501971395728
y[1] (numeric) = 0.37217740301180631262429500569067
absolute error = 3.82590213388213e-18
relative error = 1.0279780832800221496653544798308e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.149
y[1] (analytic) = 0.37282905603435178993237849924555
y[1] (numeric) = 0.3728290560343517860337312421641
absolute error = 3.89864725708145e-18
relative error = 1.0456929775135969405310768595839e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.15
y[1] (analytic) = 0.37348061711810863785979934005082
y[1] (numeric) = 0.37348061711810863388867121561518
absolute error = 3.97112812443564e-18
relative error = 1.0632755603431542255866391509682e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.151
y[1] (analytic) = 0.37413208637448406661604650167168
y[1] (numeric) = 0.37413208637448406257270064647155
absolute error = 4.04334585520013e-18
relative error = 1.0807268348411529183508644728792e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.663
Order of pole = 1.007
x[1] = 0.152
y[1] (analytic) = 0.37478346391468290797978127937108
y[1] (numeric) = 0.37478346391468290386447971615538
absolute error = 4.11530156321570e-18
relative error = 1.0980477954471658461611426678354e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.5518
Order of pole = 0.5558
x[1] = 0.153
y[1] (analytic) = 0.37543474984970810898770061464435
y[1] (numeric) = 0.37543474984970810480070425770626
absolute error = 4.18699635693809e-18
relative error = 1.1152394280535311197848371806532e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.154
y[1] (analytic) = 0.37608594429036122031620693143665
y[1] (numeric) = 0.37608594429036121605777559196949
absolute error = 4.25843133946716e-18
relative error = 1.1323027100899554047968681156099e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.155
y[1] (analytic) = 0.37673704734724288318715848255198
y[1] (numeric) = 0.37673704734724287885755087397591
absolute error = 4.32960760857607e-18
relative error = 1.1492386106072070777333169447986e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.691
Order of pole = 1.022
x[1] = 0.156
y[1] (analytic) = 0.37738805913075331480304935685872
y[1] (numeric) = 0.3773880591307533104025231001186
absolute error = 4.40052625674012e-18
relative error = 1.1660480903598154041373325870149e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.157
y[1] (analytic) = 0.3780389797510927923169456935729
y[1] (numeric) = 0.37803897975109278784575732240735
absolute error = 4.47118837116555e-18
relative error = 1.1827321018878676080387763427115e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.158
y[1] (analytic) = 0.37868980931826213534248215467645
y[1] (numeric) = 0.37868980931826213080088712085834
absolute error = 4.54159503381811e-18
relative error = 1.1992915895978650373353556870736e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.159
y[1] (analytic) = 0.37934054794206318700920031981305
y[1] (numeric) = 0.37934054794206318239745299836158
absolute error = 4.61174732145147e-18
relative error = 1.2157274898426686941644556643670e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.16
y[1] (analytic) = 0.37999119573209929356848838920975
y[1] (numeric) = 0.37999119573209928888684208357439
absolute error = 4.68164630563536e-18
relative error = 1.2320407310005166071990635431106e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.161
y[1] (analytic) = 0.38064175279777578255535940871368
y[1] (numeric) = 0.38064175279777577780406635592992
absolute error = 4.75129305278376e-18
relative error = 1.2482322335532087217438636585461e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.162
y[1] (analytic) = 0.3812922192483004395112831663276
y[1] (numeric) = 0.38129221924830043469059454214491
absolute error = 4.82068862418269e-18
relative error = 1.2643029101633517250742675392679e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.146
Order of pole = 1.334
x[1] = 0.163
y[1] (analytic) = 0.38194259519268398327326495109962
y[1] (numeric) = 0.38194259519268397838343087508161
absolute error = 4.88983407601801e-18
relative error = 1.2802536657507828475714786935334e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.3862
Order of pole = 0.527
x[1] = 0.164
y[1] (analytic) = 0.3825928807397405398343425122944
y[1] (numeric) = 0.38259288073974053487561205289149
absolute error = 4.95873045940291e-18
relative error = 1.2960853975680992503874244198111e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.165
y[1] (analytic) = 0.38324307599808811478065080887695
y[1] (numeric) = 0.38324307599808810975327198847158
absolute error = 5.02737882040537e-18
relative error = 1.3117989952753771580463572758389e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.166
y[1] (analytic) = 0.38389318107614906431018249590568
y[1] (numeric) = 0.38389318107614905921440229583041
absolute error = 5.09578020007527e-18
relative error = 1.3273953410140074533183430565064e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.167
y[1] (analytic) = 0.38454319608215056483835055489752
y[1] (numeric) = 0.38454319608215055967441492042589
absolute error = 5.16393563447163e-18
relative error = 1.3428753094797834748810923703877e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.168
y[1] (analytic) = 0.38519312112412508119543803902988
y[1] (numeric) = 0.38519312112412507596359188434052
absolute error = 5.23184615468936e-18
relative error = 1.3582397679950893477008292947294e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.169
y[1] (analytic) = 0.38584295630991083342099857062958
y[1] (numeric) = 0.38584295630991082812148578374352
absolute error = 5.29951278688606e-18
relative error = 1.3734895765803398536759407265407e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.17
y[1] (analytic) = 0.38649270174715226216024999720855
y[1] (numeric) = 0.38649270174715225679331344489996
absolute error = 5.36693655230859e-18
relative error = 1.3886255880246086474316271520016e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.171
y[1] (analytic) = 0.3871423575433004926674824827931
y[1] (numeric) = 0.38714235754330048723336401547354
absolute error = 5.43411846731956e-18
relative error = 1.4036486479554935344719582933987e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.172
y[1] (analytic) = 0.38779192380561379742148128290815
y[1] (numeric) = 0.3877919238056137919204217394847
absolute error = 5.50105954342345e-18
relative error = 1.4185595949081534064786706504062e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.6012
Order of pole = 0.5646
x[1] = 0.173
y[1] (analytic) = 0.38844140064115805735794352377755
y[1] (numeric) = 0.38844140064115805179018273648469
absolute error = 5.56776078729286e-18
relative error = 1.4333592603936556739574746884702e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.174
y[1] (analytic) = 0.3890907881568072217238474785433
y[1] (numeric) = 0.38909078815680721608962427774892
absolute error = 5.63422320079438e-18
relative error = 1.4480484689665115964140748082479e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.175
y[1] (analytic) = 0.3897400864592437665587121050553
y[1] (numeric) = 0.38974008645924376085826432404087
absolute error = 5.70044778101443e-18
relative error = 1.4626280382914991983160585441873e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.176
y[1] (analytic) = 0.39038929565495915180766398050172
y[1] (numeric) = 0.39038929565495914604122846021687
absolute error = 5.76643552028485e-18
relative error = 1.4770987792097261182140300518775e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.175
Order of pole = 0.7458
x[1] = 0.177
y[1] (analytic) = 0.3910384158502542770712082373097
y[1] (numeric) = 0.3910384158502542712390208311012
absolute error = 5.83218740620850e-18
relative error = 1.4914614958040081154318820619704e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.178
y[1] (analytic) = 0.39168744715123993599657967181572
y[1] (numeric) = 0.39168744715123993009887525013131
absolute error = 5.89770442168441e-18
relative error = 1.5057169854634541287445045780920e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=11.4MB, alloc=4.1MB, time=1.30
NO POLE
x[1] = 0.179
y[1] (analytic) = 0.39233638966383726931552986166345
y[1] (numeric) = 0.39233638966383726335254231673027
absolute error = 5.96298754493318e-18
relative error = 1.5198660389474458841994306286275e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.18
y[1] (analytic) = 0.39298524349377821653338588920742
y[1] (numeric) = 0.39298524349377821050534813968553
absolute error = 6.02803774952189e-18
relative error = 1.5339094404488311337722477091162e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.181
y[1] (analytic) = 0.39363400874660596627419612586998
y[1] (numeric) = 0.39363400874660596018134012148098
absolute error = 6.09285600438900e-18
relative error = 1.5478479676564619194749468300540e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.182
y[1] (analytic) = 0.39428268552767540528675848589678
y[1] (numeric) = 0.39428268552767539912931521202765
absolute error = 6.15744327386913e-18
relative error = 1.5616823918170578831498512735129e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.183
y[1] (analytic) = 0.3949312739421535661163066067721
y[1] (numeric) = 0.39493127394215355989450608905448
absolute error = 6.22180051771762e-18
relative error = 1.5754134777963774314384320363073e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.184
y[1] (analytic) = 0.39557977409502007344660955717962
y[1] (numeric) = 0.39557977409502006716068086604461
absolute error = 6.28592869113501e-18
relative error = 1.5890419841397404558841162662790e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.185
y[1] (analytic) = 0.39622818609106758911722091131992
y[1] (numeric) = 0.39622818609106758276739216652856
absolute error = 6.34982874479136e-18
relative error = 1.6025686631318902069570866185038e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.186
y[1] (analytic) = 0.39687651003490225582059336011975
y[1] (numeric) = 0.39687651003490224940709173526942
absolute error = 6.41350162485033e-18
relative error = 1.6159942608561820776517785200973e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.5846
Order of pole = 0.5601
x[1] = 0.187
y[1] (analytic) = 0.39752474603094413948375545488978
y[1] (numeric) = 0.39752474603094413300680718189655
absolute error = 6.47694827299323e-18
relative error = 1.6293195172531601582219817571938e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.188
y[1] (analytic) = 0.39817289418342767033922759680848
y[1] (numeric) = 0.39817289418342766379905797036552
absolute error = 6.54016962644296e-18
relative error = 1.6425451661785087930694666489292e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.189
y[1] (analytic) = 0.39882095459640208268983499573635
y[1] (numeric) = 0.39882095459640207608666837774867
absolute error = 6.60316661798768e-18
relative error = 1.6556719354603464727691797574408e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.9274
Order of pole = 0.6507
x[1] = 0.19
y[1] (analytic) = 0.39946892737373185337205602380502
y[1] (numeric) = 0.39946892737373184670611584780064
absolute error = 6.66594017600438e-18
relative error = 1.6687005469559124228533631365015e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.191
y[1] (analytic) = 0.4001168126190971389225251824907
y[1] (numeric) = 0.40011681261909713219403395800826
absolute error = 6.72849122448244e-18
relative error = 1.6816317166076755993117663883316e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.192
y[1] (analytic) = 0.40076461043599421145229078598468
y[1] (numeric) = 0.40076461043599420466147010293785
absolute error = 6.79082068304683e-18
relative error = 1.6944661544987856216563294687750e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.193
y[1] (analytic) = 0.40141232092773589323340843813388
y[1] (numeric) = 0.40141232092773588638047897115258
absolute error = 6.85292946698130e-18
relative error = 1.7072045649079605928461806192616e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.194
y[1] (analytic) = 0.40205994419745199000243244455918
y[1] (numeric) = 0.40205994419745198308761395730763
absolute error = 6.91481848725155e-18
relative error = 1.7198476463638159879076758642333e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.195
y[1] (analytic) = 0.40270748034808972298534845529245
y[1] (numeric) = 0.40270748034808971600885980476451
absolute error = 6.97648865052794e-18
relative error = 1.7323960916985319575880678704186e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.196
y[1] (analytic) = 0.40335492948241415964847187593125
y[1] (numeric) = 0.40335492948241415261053101672281
absolute error = 7.03794085920844e-18
relative error = 1.7448505881010403366834639198574e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.197
y[1] (analytic) = 0.40400229170300864317981791641822
y[1] (numeric) = 0.40400229170300863608064190497708
absolute error = 7.09917601144114e-18
relative error = 1.7572118171695687355200646985388e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.198
y[1] (analytic) = 0.40464956711227522070543056564522
y[1] (numeric) = 0.40464956711227521354523556449842
absolute error = 7.16019500114680e-18
relative error = 1.7694804549636678380160196816339e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.293
Order of pole = 9.724
x[1] = 0.199
y[1] (analytic) = 0.40529675581243507024513928669078
y[1] (numeric) = 0.40529675581243506302414056864952
absolute error = 7.22099871804126e-18
relative error = 1.7816571720556835700996039470956e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.2
y[1] (analytic) = 0.40594385790552892641219382116172
y[1] (numeric) = 0.40594385790552891913060577350415
absolute error = 7.28158804765757e-18
relative error = 1.7937426335816461406707056207768e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.201
y[1] (analytic) = 0.40659087349341750486120917136522
y[1] (numeric) = 0.40659087349341749751924529999696
absolute error = 7.34196387136826e-18
relative error = 1.8057374992916860400483628433528e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.736
Order of pole = 1.021
x[1] = 0.202
y[1] (analytic) = 0.40723780267778192548883459542622
y[1] (numeric) = 0.40723780267778191808670752901908
absolute error = 7.40212706640714e-18
relative error = 1.8176424235998327539404444275687e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.203
y[1] (analytic) = 0.40788464556012413439154230253498
y[1] (numeric) = 0.40788464556012412692946379664369
absolute error = 7.46207850589129e-18
relative error = 1.8294580556333651397510374780039e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.204
y[1] (analytic) = 0.4085314022417673245849134728038
y[1] (numeric) = 0.40853140224176731706309441396108
absolute error = 7.52181905884272e-18
relative error = 1.8411850392815914282817378687634e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.205
y[1] (analytic) = 0.4091780728238563554887812482847
y[1] (numeric) = 0.40917807282385634790743165807474
absolute error = 7.58134959020996e-18
relative error = 1.8528240132441289793422618695067e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.206
y[1] (analytic) = 0.40982465740735817118257244810055
y[1] (numeric) = 0.40982465740735816354190148721102
absolute error = 7.64067096088953e-18
relative error = 1.8643756110786773882997455238755e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.207
y[1] (analytic) = 0.41047115609306221743517195092792
y[1] (numeric) = 0.41047115609306220973538792318057
absolute error = 7.69978402774735e-18
relative error = 1.8758404612483054159391822341559e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.208
y[1] (analytic) = 0.41111756898158085751361596179755
y[1] (numeric) = 0.41111756898158084975492631815767
absolute error = 7.75868964363988e-18
relative error = 1.8872191871682062780233287927138e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.209
y[1] (analytic) = 0.41176389617334978677490273690942
y[1] (numeric) = 0.41176389617334977895751407947422
absolute error = 7.81738865743520e-18
relative error = 1.8985124072519783983522495040045e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.21
y[1] (analytic) = 0.4124101377686284460451917794556
memory used=15.2MB, alloc=4.2MB, time=1.77
y[1] (numeric) = 0.41241013776862843816930986542154
absolute error = 7.87588191403406e-18
relative error = 1.9097207349574443634720307190147e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.211
y[1] (analytic) = 0.41305629386750043379064504087168
y[1] (numeric) = 0.41305629386750042585647478648105
absolute error = 7.93417025439063e-18
relative error = 1.9208447788319480248635007614560e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.212
y[1] (analytic) = 0.41370236456987391708414626506528
y[1] (numeric) = 0.41370236456987390909189174953193
absolute error = 7.99225451553335e-18
relative error = 1.9318851425572323934176157137031e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.213
y[1] (analytic) = 0.4143483499754820413721172975668
y[1] (numeric) = 0.4143483499754820333219817669814
absolute error = 8.05013553058540e-18
relative error = 1.9428424249937873052867061727624e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.214
y[1] (analytic) = 0.414994250183883339045632946789
y[1] (numeric) = 0.41499425018388333093781881800366
absolute error = 8.10781412878534e-18
relative error = 1.9537172202248054135547916048933e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.215
y[1] (analytic) = 0.4156400652944621368200188302402
y[1] (numeric) = 0.4156400652944621286547276947329
absolute error = 8.16529113550730e-18
relative error = 1.9645101175996018405181289745550e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.395
Order of pole = 0.8309
x[1] = 0.216
y[1] (analytic) = 0.4162857954064289619270995641936
y[1] (numeric) = 0.41628579540642895370453219191224
absolute error = 8.22256737228136e-18
relative error = 1.9752217017766572942298791217466e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.217
y[1] (analytic) = 0.4169314406188209471242476605478
y[1] (numeric) = 0.41693144061882093884460400373418
absolute error = 8.27964365681362e-18
relative error = 1.9858525527661690431600319450017e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.04
Order of pole = 1.206
x[1] = 0.218
y[1] (analytic) = 0.41757700103050223452436657900872
y[1] (numeric) = 0.41757700103050222618784577600249
absolute error = 8.33652080300623e-18
relative error = 1.9964032459721799668419714254065e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.219
y[1] (analytic) = 0.41822247674016437825092454586312
y[1] (numeric) = 0.41822247674016436985772492488583
absolute error = 8.39319962097729e-18
relative error = 2.0068743522342689512717517744276e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.22
y[1] (analytic) = 0.4188678678463267459221389920879
y[1] (numeric) = 0.41886786784632673747245807500729
absolute error = 8.44968091708061e-18
relative error = 2.0172664378688052000430706665293e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.221
y[1] (analytic) = 0.41951317444733691896839478293755
y[1] (numeric) = 0.41951317444733691046242928901212
absolute error = 8.50596549392543e-18
relative error = 2.0275800647097952182330791023295e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.222
y[1] (analytic) = 0.4201583966413710917869628080666
y[1] (numeric) = 0.4201583966413710832249086576707
absolute error = 8.56205415039590e-18
relative error = 2.0378157901492794679539007432715e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.487
Order of pole = 0.8726
x[1] = 0.223
y[1] (analytic) = 0.42080353452643446973806897527025
y[1] (numeric) = 0.42080353452643446112012129359971
absolute error = 8.61794768167054e-18
relative error = 2.0479741671773360279448976403932e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.224
y[1] (analytic) = 0.42144858820036166598634720166162
y[1] (numeric) = 0.42144858820036165731270032242004
absolute error = 8.67364687924158e-18
relative error = 2.0580557444216719557615455114204e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.225
y[1] (analytic) = 0.42209355776081709719169362314755
y[1] (numeric) = 0.42209355776081708846254109221333
absolute error = 8.72915253093422e-18
relative error = 2.0680610661868164521842898646983e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.226
y[1] (analytic) = 0.4227384433052953780535229460192
y[1] (numeric) = 0.42273844330529536926905752509359
absolute error = 8.78446542092561e-18
relative error = 2.0779906724928729797341708966692e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.227
y[1] (analytic) = 0.42338324493112171471241164294342
y[1] (numeric) = 0.42338324493112170587282531317942
absolute error = 8.83958632976400e-18
relative error = 2.0878450991139415315621742521414e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.228
y[1] (analytic) = 0.42402796273545229701309654923042
y[1] (numeric) = 0.42402796273545228811858051484297
absolute error = 8.89451603438745e-18
relative error = 2.0976248776160709078083042062704e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.229
y[1] (analytic) = 0.42467259681527468963278134357535
y[1] (numeric) = 0.42467259681527468068352603543259
absolute error = 8.94925530814276e-18
relative error = 2.1073305353949016098091684972597e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.23
y[1] (analytic) = 0.4253171472674082220786874001326
y[1] (numeric) = 0.42531714726740821307488247932857
absolute error = 9.00380492080403e-18
relative error = 2.1169625957128641137841073263166e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.231
y[1] (analytic) = 0.42596161418850437755876957539958
y[1] (numeric) = 0.4259616141885043685006039368083
absolute error = 9.05816563859128e-18
relative error = 2.1265215777360383783867798377825e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.232
y[1] (analytic) = 0.4266059976750471807295016435735
y[1] (numeric) = 0.42660599767504717161716341938467
absolute error = 9.11233822418883e-18
relative error = 2.1360079965706080402318864433866e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.233
y[1] (analytic) = 0.42725029782335358432462031742092
y[1] (numeric) = 0.42725029782335357515829688065719
absolute error = 9.16632343676373e-18
relative error = 2.1454223632989816442130775420172e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.277
Order of pole = 0.7714
x[1] = 0.234
y[1] (analytic) = 0.427894514729573854668701087883
y[1] (numeric) = 0.42789451472957384544857905589907
absolute error = 9.22012203198393e-18
relative error = 2.1547651850155121597616835079744e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.235
y[1] (analytic) = 0.42853864848969195607942348425428
y[1] (numeric) = 0.42853864848969194680568872221781
absolute error = 9.27373476203647e-18
relative error = 2.1640369648618845356711097293532e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.236
y[1] (analytic) = 0.4291826991995259341623677974413
y[1] (numeric) = 0.42918269919952592483520542179584
absolute error = 9.32716237564546e-18
relative error = 2.1732382020621213754383202813126e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.237
y[1] (analytic) = 0.4298266669547282980021698211583
y[1] (numeric) = 0.42982666695472828862176420306833
absolute error = 9.38040561808997e-18
relative error = 2.1823693919572388391664725683194e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.238
y[1] (analytic) = 0.43047055185078640125384474957745
y[1] (numeric) = 0.43047055185078639182037951835545
absolute error = 9.43346523122200e-18
relative error = 2.1914310260395961064471318157161e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.239
y[1] (analytic) = 0.43111435398302282213807602455218
y[1] (numeric) = 0.43111435398302281265173407106813
absolute error = 9.48634195348405e-18
relative error = 2.2004235919868304424230190492903e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.24
y[1] (analytic) = 0.43175807344659574234424965070802
y[1] (numeric) = 0.43175807344659573280521313078123
absolute error = 9.53903651992679e-18
relative error = 2.2093475736954981736473337014894e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.241
y[1] (analytic) = 0.432401710336499324844999292079
y[1] (numeric) = 0.43240171033649931525344962985242
absolute error = 9.59154966222658e-18
relative error = 2.2182034513143669951348440518456e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.503
Order of pole = 0.5417
memory used=19.0MB, alloc=4.2MB, time=2.24
x[1] = 0.242
y[1] (analytic) = 0.43304526474756409062601232919808
y[1] (numeric) = 0.43304526474756408098213022049516
absolute error = 9.64388210870292e-18
relative error = 2.2269917012773818812688779672817e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.243
y[1] (analytic) = 0.43368873677445729433483199026555
y[1] (numeric) = 0.43368873677445728463879740592986
absolute error = 9.69603458433569e-18
relative error = 2.2357127963362758788359366187915e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.765
Order of pole = 1.758
x[1] = 0.244
y[1] (analytic) = 0.43433212651168329885237567386175
y[1] (numeric) = 0.43433212651168328910436786307934
absolute error = 9.74800781078241e-18
relative error = 2.2443672055928825868297519934865e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.245
y[1] (analytic) = 0.43497543405358394879087465328248
y[1] (numeric) = 0.43497543405358393899107214688709
absolute error = 9.79980250639539e-18
relative error = 2.2529553945311236898755975890570e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.246
y[1] (analytic) = 0.43561865949433894292192549360308
y[1] (numeric) = 0.43561865949433893307050610736438
absolute error = 9.85141938623870e-18
relative error = 2.2614778250486589981538663893721e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 9.266
Order of pole = 14.58
x[1] = 0.247
y[1] (analytic) = 0.43626180292796620553832872166792
y[1] (numeric) = 0.43626180292796619563546955956285
absolute error = 9.90285916210507e-18
relative error = 2.2699349554882278520840430927046e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.248
y[1] (analytic) = 0.43690486444832225675337556600488
y[1] (numeric) = 0.43690486444832224679925302347202
absolute error = 9.95412254253286e-18
relative error = 2.2783272406687172744332497255439e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.357
Order of pole = 1.409
x[1] = 0.249
y[1] (analytic) = 0.43754784414910258174122892783045
y[1] (numeric) = 0.43754784414910257173601869500787
absolute error = 1.000521023282258e-17
relative error = 2.2866551319158409937897390286132e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.189
Order of pole = 2.162
x[1] = 0.25
y[1] (analytic) = 0.43819074212384199892203015549625
y[1] (numeric) = 0.43819074212384198886590722044254
absolute error = 1.005612293505371e-17
relative error = 2.2949190770926046496175202525485e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.244
Order of pole = 1.322
x[1] = 0.251
y[1] (analytic) = 0.43883355846591502709534867258292
y[1] (numeric) = 0.43883355846591501698848732448178
absolute error = 1.010686134810114e-17
relative error = 2.3031195206294045683309491213986e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.252
y[1] (analytic) = 0.43947629326853625152557705403518
y[1] (numeric) = 0.43947629326853624136815088638357
absolute error = 1.015742616765161e-17
relative error = 2.3112569035538504799553245094154e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.253
y[1] (analytic) = 0.44011894662476068898285975490752
y[1] (numeric) = 0.44011894662476067877504166868741
absolute error = 1.020781808622011e-17
relative error = 2.3193316635203060581702186816793e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.249
Order of pole = 3.438
x[1] = 0.254
y[1] (analytic) = 0.44076151862748415174312937211712
y[1] (numeric) = 0.44076151862748414148509157895092
absolute error = 1.025803779316620e-17
relative error = 2.3273442348391412359817196655415e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.255
y[1] (analytic) = 0.44140400936944361055081006074105
y[1] (numeric) = 0.44140400936944360024272408603108
absolute error = 1.030808597470997e-17
relative error = 2.3352950485056359458181738972731e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.256
y[1] (analytic) = 0.44204641894321755654773353251605
y[1] (numeric) = 0.44204641894321754618977021856775
absolute error = 1.035796331394830e-17
relative error = 2.3431845322286882799055113401396e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.8418
Order of pole = 0.6149
x[1] = 0.257
y[1] (analytic) = 0.44268874744122636217179893496412
y[1] (numeric) = 0.44268874744122635176412844409333
absolute error = 1.040767049087079e-17
relative error = 2.3510131104591868874721752791674e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.258
y[1] (analytic) = 0.44333099495573264102889384464958
y[1] (numeric) = 0.4433309949557326305716856622739
absolute error = 1.045720818237568e-17
relative error = 2.3587812044181233353879874654627e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.5753
Order of pole = 0.5535
x[1] = 0.259
y[1] (analytic) = 0.4439731615788416067415796071402
y[1] (numeric) = 0.44397316157884159623500254485466
absolute error = 1.050657706228554e-17
relative error = 2.3664892321243976514617889629254e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.26
y[1] (analytic) = 0.44461524740250143077803031897182
y[1] (numeric) = 0.4446152474025014202222525176087
absolute error = 1.055577780136312e-17
relative error = 2.3741376084224080056032124623414e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.261
y[1] (analytic) = 0.44525725251850359926470087297432
y[1] (numeric) = 0.44525725251850358865988980564742
absolute error = 1.060481106732690e-17
relative error = 2.3817267450093235320233825444807e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.6936
Order of pole = 0.5776
x[1] = 0.262
y[1] (analytic) = 0.4458991770184832687861856773869
y[1] (numeric) = 0.44589917701848325813250815252025
absolute error = 1.065367752486665e-17
relative error = 2.3892570504621131420859733192096e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.263
y[1] (analytic) = 0.44654102099391962117571591094708
y[1] (numeric) = 0.44654102099391961047333807528825
absolute error = 1.070237783565883e-17
relative error = 2.3967289302642948447845468502869e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.264
y[1] (analytic) = 0.4471827845361362172997294902632
y[1] (numeric) = 0.44718278453613620654881683188117
absolute error = 1.075091265838203e-17
relative error = 2.4041427868324532377776390789035e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.265
y[1] (analytic) = 0.4478244677363013498399343019548
y[1] (numeric) = 0.44782446773630133904065165322262
absolute error = 1.079928264873218e-17
relative error = 2.4114990195424673319003876469510e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.266
y[1] (analytic) = 0.44846607068542839507627168995415
y[1] (numeric) = 0.44846607068542838422878323051638
absolute error = 1.084748845943777e-17
relative error = 2.4187980247555052534479987609970e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.267
y[1] (analytic) = 0.44910759347437616367417368768945
y[1] (numeric) = 0.44910759347437615277864294741459
absolute error = 1.089553074027486e-17
relative error = 2.4260401958437392951766592382395e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.736
Order of pole = 1.698
x[1] = 0.268
y[1] (analytic) = 0.44974903619384925047949404530452
y[1] (numeric) = 0.44974903619384923953608390722225
absolute error = 1.094341013808227e-17
relative error = 2.4332259232158709474973249029226e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.269
y[1] (analytic) = 0.45039039893439838332447972329815
y[1] (numeric) = 0.45039039893439837233335242652182
absolute error = 1.099112729677633e-17
relative error = 2.4403555943423302685721926527237e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.27
y[1] (analytic) = 0.45103168178642077084813620568292
y[1] (numeric) = 0.45103168178642075980945334831707
absolute error = 1.103868285736585e-17
relative error = 2.4474295937802992873637099879378e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.271
y[1] (analytic) = 0.4516728848401604493343267276559
y[1] (numeric) = 0.45167288484016043824824926968909
absolute error = 1.108607745796681e-17
relative error = 2.4544483031984506085977787658540e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.342
Order of pole = 0.7871
x[1] = 0.272
y[1] (analytic) = 0.45231400818570862857093231454168
y[1] (numeric) = 0.45231400818570861743762058072461
absolute error = 1.113331173381707e-17
relative error = 2.4614121014014704897241129221822e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.273
y[1] (analytic) = 0.45295505191300403673338639010325
y[1] (numeric) = 0.45295505191300402555300007281229
absolute error = 1.118038631729096e-17
relative error = 2.4683213643543377340309862660171e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=22.8MB, alloc=4.3MB, time=2.71
NO POLE
x[1] = 0.274
y[1] (analytic) = 0.453596016111833264295884632919
y[1] (numeric) = 0.45359601611183325306858279500522
absolute error = 1.122730183791378e-17
relative error = 2.4751764652063675448763703516644e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.275
y[1] (analytic) = 0.45423690087183110697355773909262
y[1] (numeric) = 0.45423690087183109569949881671636
absolute error = 1.127405892237626e-17
relative error = 2.4819777743150337842107434095379e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.276
y[1] (analytic) = 0.45487770628248090769888178779795
y[1] (numeric) = 0.45487770628248089637822359324904
absolute error = 1.132065819454891e-17
relative error = 2.4887256592695565448442480309986e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.277
y[1] (analytic) = 0.45551843243311489763558800276652
y[1] (numeric) = 0.45551843243311488626848772727032
absolute error = 1.136710027549620e-17
relative error = 2.4954204849142442870865381572449e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.278
y[1] (analytic) = 0.45615907941291453623332085750568
y[1] (numeric) = 0.45615907941291452481993507401473
absolute error = 1.141338578349095e-17
relative error = 2.5020626133716763672545547707670e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.279
y[1] (analytic) = 0.45679964731091085032628068449445
y[1] (numeric) = 0.45679964731091083886676535046624
absolute error = 1.145951533402821e-17
relative error = 2.5086524040655700153789859369722e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.041
Order of pole = 3.08
x[1] = 0.28
y[1] (analytic) = 0.45744013621598477227907421855438
y[1] (numeric) = 0.45744013621598476077358467871496
absolute error = 1.150548953983942e-17
relative error = 2.5151902137435076629263079956904e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.281
y[1] (analytic) = 0.45808054621686747718298383173758
y[1] (numeric) = 0.45808054621686746563167482083121
absolute error = 1.155130901090637e-17
relative error = 2.5216763964994213083637323019202e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.7273
Order of pole = 0.5834
x[1] = 0.282
y[1] (analytic) = 0.45872087740214071910585360112962
y[1] (numeric) = 0.45872087740214070750887924665463
absolute error = 1.159697435447499e-17
relative error = 2.5281113037958429398274423978384e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.179
Order of pole = 1.248
x[1] = 0.283
y[1] (analytic) = 0.45936112986023716639877779164142
y[1] (numeric) = 0.45936112986023715475629161657215
absolute error = 1.164248617506927e-17
relative error = 2.5344952844859887093814350004804e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.707
Order of pole = 2.661
x[1] = 0.284
y[1] (analytic) = 0.4600013036794407360627648328757
y[1] (numeric) = 0.46000130367944072437491975837083
absolute error = 1.168784507450487e-17
relative error = 2.5408286848355829291334090153024e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.2702
Order of pole = 0.5115
x[1] = 0.285
y[1] (analytic) = 0.46064139894788692717853742221752
y[1] (numeric) = 0.46064139894788691544548577031477
absolute error = 1.173305165190275e-17
relative error = 2.5471118485444961607708418075459e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.286
y[1] (analytic) = 0.46128141575356315340261699513082
y[1] (numeric) = 0.46128141575356314162451049142794
absolute error = 1.177810650370288e-17
relative error = 2.5533451167682123115299857071087e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.9898
Order of pole = 0.6536
x[1] = 0.287
y[1] (analytic) = 0.46192135418430907453282846796265
y[1] (numeric) = 0.46192135418430906270981824428506
absolute error = 1.182301022367759e-17
relative error = 2.5595288281390312396027488799926e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.7815
Order of pole = 0.5956
x[1] = 0.288
y[1] (analytic) = 0.46256121432781692714634887808702
y[1] (numeric) = 0.46256121432781691527858547514203
absolute error = 1.186776340294499e-17
relative error = 2.5656633187871024887597012114536e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.289
y[1] (analytic) = 0.46320099627163185431341132067942
y[1] (numeric) = 0.46320099627163184240104469069699
absolute error = 1.191236662998243e-17
relative error = 2.5717489223612854049011733157638e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.29
y[1] (analytic) = 0.4638407001031522343897634105277
y[1] (numeric) = 0.46384070010315222243294291988806
absolute error = 1.195682049063964e-17
relative error = 2.5777859700497597934178340426972e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.291
y[1] (analytic) = 0.46448032590963000889096738077968
y[1] (numeric) = 0.46448032590962999688984181262768
absolute error = 1.200112556815200e-17
relative error = 2.5837747906004864990865266108444e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.3525
Order of pole = 0.5194
x[1] = 0.292
y[1] (analytic) = 0.46511987377817100945161686812842
y[1] (numeric) = 0.46511987377817099740633442497488
absolute error = 1.204528244315354e-17
relative error = 2.5897157103414334469662527225977e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.293
y[1] (analytic) = 0.46575934379573528387253342537275
y[1] (numeric) = 0.46575934379573527178324173168256
absolute error = 1.208929169369019e-17
relative error = 2.5956090532006811363722622780287e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.393
Order of pole = 1.39
x[1] = 0.294
y[1] (analytic) = 0.46639873604913742125899384729032
y[1] (numeric) = 0.46639873604913740912583995205779
absolute error = 1.213315389523253e-17
relative error = 2.6014551407262480292480021416408e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.992
Order of pole = 1.116
x[1] = 0.295
y[1] (analytic) = 0.467038050625046876253027494059
y[1] (numeric) = 0.46703805062504686407615787337011
absolute error = 1.217686962068889e-17
relative error = 2.6072542921058206052418177691755e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.296
y[1] (analytic) = 0.46767728760998829236281094778688
y[1] (numeric) = 0.46767728760998828014237150736892
absolute error = 1.222043944041796e-17
relative error = 2.6130068241862094735044986498269e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.297
y[1] (analytic) = 0.46831644709034182439217554180228
y[1] (numeric) = 0.46831644709034181212831161956047
absolute error = 1.226386392224181e-17
relative error = 2.6187130514927264242943531776119e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.298
y[1] (analytic) = 0.46895552915234345997323155894188
y[1] (numeric) = 0.4689555291523434476660879274836
absolute error = 1.230714363145828e-17
relative error = 2.6243732862482614920009180805527e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.299
y[1] (analytic) = 0.46959453388208534020510120390238
y[1] (numeric) = 0.4695945338820853278548220730485
absolute error = 1.235027913085388e-17
relative error = 2.6299878383923057358856523776321e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.783
Order of pole = 0.991
x[1] = 0.3
y[1] (analytic) = 0.47023346136551607940174081551925
y[1] (numeric) = 0.47023346136551606700846983480314
absolute error = 1.239327098071611e-17
relative error = 2.6355570155996885398554170233673e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.3496
Order of pole = 0.5189
x[1] = 0.301
y[1] (analytic) = 0.47087231168844108395182119735382
y[1] (numeric) = 0.47087231168844107151570145850772
absolute error = 1.243611973884610e-17
relative error = 2.6410811232992233613651348018118e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.302
y[1] (analytic) = 0.47151108493652287029362340894135
y[1] (numeric) = 0.47151108493652285781479744837045
absolute error = 1.247882596057090e-17
relative error = 2.6465604646921207841657212690554e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.303
y[1] (analytic) = 0.4721497811952813820078958752267
y[1] (numeric) = 0.47214978119528136948650567647079
absolute error = 1.252139019875591e-17
relative error = 2.6519953407702749411544891527947e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.304
y[1] (analytic) = 0.472788400550094306031607237831
y[1] (numeric) = 0.47278840055009429346779423401398
absolute error = 1.256381300381702e-17
relative error = 2.6573860503343336358998254561354e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.305
y[1] (analytic) = 0.47342694308619738799551798860175
y[1] (numeric) = 0.47342694308619737538942306486877
memory used=26.7MB, alloc=4.3MB, time=3.18
absolute error = 1.260609492373298e-17
relative error = 2.6627328900116641226970423232835e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.306
y[1] (analytic) = 0.4740654088886847466884825931437
y[1] (numeric) = 0.47406540888868473404024608908629
absolute error = 1.264823650405741e-17
relative error = 2.6680361542740911525930532345048e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.307
y[1] (analytic) = 0.47470379804250918765138252946148
y[1] (numeric) = 0.47470379804250917496114424153055
absolute error = 1.269023828793093e-17
relative error = 2.6732961354555106233428660497450e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.308
y[1] (analytic) = 0.47534211063248251590357943421345
y[1] (numeric) = 0.47534211063248250317147861812032
absolute error = 1.273210081609313e-17
relative error = 2.6785131237693211750114545721127e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.309
y[1] (analytic) = 0.4759803467432758478047663661341
y[1] (numeric) = 0.4759803467432758350309417392396
absolute error = 1.277382462689450e-17
relative error = 2.6836874073257007277292378456635e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.31
y[1] (analytic) = 0.47661850645941992205508406268062
y[1] (numeric) = 0.47661850645941990923967380637231
absolute error = 1.281541025630831e-17
relative error = 2.6888192721487273924047418327862e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.311
y[1] (analytic) = 0.47725658986530540983635798165308
y[1] (numeric) = 0.47725658986530539697949974371064
absolute error = 1.285685823794244e-17
relative error = 2.6939090021933462856711493183119e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.422
Order of pole = 0.5271
x[1] = 0.312
y[1] (analytic) = 0.4778945970451832240973008841821
y[1] (numeric) = 0.47789459704518321119913178113108
absolute error = 1.289816910305102e-17
relative error = 2.6989568793621544679042017016626e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.313
y[1] (analytic) = 0.47853252808316482798551472883072
y[1] (numeric) = 0.47853252808316481504617134828442
absolute error = 1.293934338054630e-17
relative error = 2.7039631835220935429560188565598e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.467
Order of pole = 0.8275
x[1] = 0.314
y[1] (analytic) = 0.47917038306322254242911470837472
y[1] (numeric) = 0.47917038306322252944873311136471
absolute error = 1.298038159701001e-17
relative error = 2.7089281925208964186146759595424e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.315
y[1] (analytic) = 0.47980816206918985287078737087102
y[1] (numeric) = 0.47980816206918983984950309416593
absolute error = 1.302128427670509e-17
relative error = 2.7138521822034739934254732286849e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.316
y[1] (analytic) = 0.48044586518476171515708392465328
y[1] (numeric) = 0.4804458651847617020950319830662
absolute error = 1.306205194158708e-17
relative error = 2.7187354264280946190572777291433e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.317
y[1] (analytic) = 0.48108349249349486058573903267418
y[1] (numeric) = 0.48108349249349484748305392135858
absolute error = 1.310268511131560e-17
relative error = 2.7235781970824477122911525702362e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.318
y[1] (analytic) = 0.48172104407880810011379465490532
y[1] (numeric) = 0.48172104407880808697061035163969
absolute error = 1.314318430326563e-17
relative error = 2.7283807640995324580304041867710e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.319
y[1] (analytic) = 0.48235852002398262772929779807538
y[1] (numeric) = 0.48235852002398261454574776553646
absolute error = 1.318355003253892e-17
relative error = 2.7331433954734417035187260693047e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.32
y[1] (analytic) = 0.48299592041216232298933037963902
y[1] (numeric) = 0.48299592041216230976554756766399
absolute error = 1.322378281197503e-17
relative error = 2.7378663572749385588003007738737e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.321
y[1] (analytic) = 0.48363324532635405272711880729358
y[1] (numeric) = 0.48363324532635403946323565513083
absolute error = 1.326388315216275e-17
relative error = 2.7425499136669827585330085734077e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.322
y[1] (analytic) = 0.48427049484942797193096031636205
y[1] (numeric) = 0.4842704948494279586271087549111
absolute error = 1.330385156145095e-17
relative error = 2.7471943269200111423350425235106e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.64
Order of pole = 0.9051
x[1] = 0.323
y[1] (analytic) = 0.48490766906411782379769259471515
y[1] (numeric) = 0.48490766906411781045400404875528
absolute error = 1.334368854595987e-17
relative error = 2.7517998574271828677037654463082e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.324
y[1] (analytic) = 0.48554476805302123896342275837658
y[1] (numeric) = 0.48554476805302122558002814878471
absolute error = 1.338339460959187e-17
relative error = 2.7563667637193879085316353318987e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.72
Order of pole = 3.848
x[1] = 0.325
y[1] (analytic) = 0.486181791898600033914221320324
y[1] (numeric) = 0.48618179189860002049125106628142
absolute error = 1.342297025404258e-17
relative error = 2.7608953024802144174866166344960e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.326
y[1] (analytic) = 0.48681874068318050857947642002995
y[1] (numeric) = 0.48681874068318049511706044121835
absolute error = 1.346241597881160e-17
relative error = 2.7653857285607007888469423018746e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.327
y[1] (analytic) = 0.4874556144889537431105932517638
y[1] (numeric) = 0.48745561448895372960886097055044
absolute error = 1.350173228121336e-17
relative error = 2.7698382949939995928565104445162e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.328
y[1] (analytic) = 0.48809241339797589384771334536872
y[1] (numeric) = 0.48809241339797588030679368898077
absolute error = 1.354091965638795e-17
relative error = 2.7742532530099153208379260472669e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.329
y[1] (analytic) = 0.48872913749216848847711811391678
y[1] (numeric) = 0.48872913749216847489713951660509
absolute error = 1.357997859731169e-17
relative error = 2.7786308520492700919344285502427e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.33
y[1] (analytic) = 0.4893657868533187203819708881094
y[1] (numeric) = 0.48936578685331870676306129330159
absolute error = 1.361890959480781e-17
relative error = 2.7829713397781745564876678347989e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.169
Order of pole = 0.7041
x[1] = 0.331
y[1] (analytic) = 0.4900023615630797421890415073074
y[1] (numeric) = 0.4900023615630797285313283697504
absolute error = 1.365771313755700e-17
relative error = 2.7872749621021559382436273537344e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.07
Order of pole = 0.6707
x[1] = 0.332
y[1] (analytic) = 0.49063886170297095851404743142805
y[1] (numeric) = 0.49063886170297094481765771932003
absolute error = 1.369638971210802e-17
relative error = 2.7915419631801832965918303920954e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.562
Order of pole = 0.8636
x[1] = 0.333
y[1] (analytic) = 0.49127528735437831790823527641628
y[1] (numeric) = 0.49127528735437830417329547352825
absolute error = 1.373493980288803e-17
relative error = 2.7957725854385217913848344129478e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.334
y[1] (analytic) = 0.491911638598554604008816658369
y[1] (numeric) = 0.49191163859855459023545276615594
absolute error = 1.377336389221306e-17
relative error = 2.7999670695845029375522134863165e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.335
y[1] (analytic) = 0.49254791551661972589586225744742
y[1] (numeric) = 0.49254791551661971208419979714909
absolute error = 1.381166246029833e-17
relative error = 2.8041256546201527884501984905542e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.49
Order of pole = 0.8295
x[1] = 0.336
y[1] (analytic) = 0.49318411818956100765824808224052
y[1] (numeric) = 0.49318411818956099380841209697193
absolute error = 1.384983598526859e-17
relative error = 2.8082485778557138570038638992310e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=30.5MB, alloc=4.3MB, time=3.65
x[1] = 0.337
y[1] (analytic) = 0.49382024669823347717123802802875
y[1] (numeric) = 0.49382024669823346328335308486043
absolute error = 1.388788494316832e-17
relative error = 2.8123360749230293879696090861387e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.338
y[1] (analytic) = 0.4944563011233601540882769782297
y[1] (numeric) = 0.49445630112336014016246717025788
absolute error = 1.392580980797182e-17
relative error = 2.8163883797887973430776872971716e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.738
Order of pole = 0.5806
x[1] = 0.339
y[1] (analytic) = 0.49509228154553233704955889697592
y[1] (numeric) = 0.49509228154553232308594784538241
absolute error = 1.396361105159351e-17
relative error = 2.8204057247677599593589481359170e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.617
Order of pole = 0.8865
x[1] = 0.34
y[1] (analytic) = 0.49572818804520989010992460206855
y[1] (numeric) = 0.49572818804520987610863545817072
absolute error = 1.400128914389783e-17
relative error = 2.8243883405357064615753268510514e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.341
y[1] (analytic) = 0.49636402070272152838863419126332
y[1] (numeric) = 0.49636402070272151434978963855397
absolute error = 1.403884455270935e-17
relative error = 2.8283364561424135511319090221068e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.342
y[1] (analytic) = 0.49699977959826510294354942076708
y[1] (numeric) = 0.49699977959826508886727167694433
absolute error = 1.407627774382275e-17
relative error = 2.8322502990244558706176713993237e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.343
y[1] (analytic) = 0.49763546481190788487225170274922
y[1] (numeric) = 0.49763546481190787075866252173667
absolute error = 1.411358918101255e-17
relative error = 2.8361300950178635446518501395699e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.6779
Order of pole = 0.5676
x[1] = 0.344
y[1] (analytic) = 0.498271076423586848642611798399
y[1] (numeric) = 0.49827107642358683449183247235578
absolute error = 1.415077932604322e-17
relative error = 2.8399760683707546511858886491276e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.345
y[1] (analytic) = 0.49890661451310895465531773437842
y[1] (numeric) = 0.4989066145131089404674690956997
absolute error = 1.418784863867872e-17
relative error = 2.8437884417557524811443588563334e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.346
y[1] (analytic) = 0.4995420791601514310408579632354
y[1] (numeric) = 0.49954207916015141681606038654292
absolute error = 1.422479757669248e-17
relative error = 2.8475674362823917384025377317019e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.347
y[1] (analytic) = 0.50017747044426205469344732224325
y[1] (numeric) = 0.50017747044426204043182072636636
absolute error = 1.426162659587689e-17
relative error = 2.8513132715093278940064428664578e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.348
y[1] (analytic) = 0.5008127884448594315443739200276
y[1] (numeric) = 0.50081278844485941724603776997457
absolute error = 1.429833615005303e-17
relative error = 2.8550261654564972549996247108947e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.087
Order of pole = 0.673
x[1] = 0.349
y[1] (analytic) = 0.5014480332412332760772356960242
y[1] (numeric) = 0.50144803324123326174230900494388
absolute error = 1.433492669108032e-17
relative error = 2.8587063346171644182270728900785e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.35
y[1] (analytic) = 0.50208320491254469008752605408678
y[1] (numeric) = 0.50208320491254467571612738522089
absolute error = 1.437139866886589e-17
relative error = 2.8623539939698183204949825823607e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.351
y[1] (analytic) = 0.50271830353782644068901866823445
y[1] (numeric) = 0.50271830353782642628126613686024
absolute error = 1.440775253137421e-17
relative error = 2.8659693569900256876190540835854e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.352
y[1] (analytic) = 0.50335332919598323756939229539502
y[1] (numeric) = 0.50335332919598322312540357075855
absolute error = 1.444398872463647e-17
relative error = 2.8695526356621409850398561870344e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.4409
Order of pole = 0.5283
x[1] = 0.353
y[1] (analytic) = 0.50398828196579200949752720687185
y[1] (numeric) = 0.50398828196579199501741951411186
absolute error = 1.448010769275999e-17
relative error = 2.8731040404909297389770064768587e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.354
y[1] (analytic) = 0.50462316192590218008489566694045
y[1] (numeric) = 0.50462316192590216556878578900299
absolute error = 1.451610987793746e-17
relative error = 2.8766237805130664035036184241409e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.355
y[1] (analytic) = 0.50525796915483594280345974327588
y[1] (numeric) = 0.50525796915483592825146402281959
absolute error = 1.455199572045629e-17
relative error = 2.8801120633085633396471988344778e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.9763
Order of pole = 0.6385
x[1] = 0.356
y[1] (analytic) = 0.50589270373098853526248062962902
y[1] (numeric) = 0.50589270373098852067471497092112
absolute error = 1.458776565870790e-17
relative error = 2.8835690950120979525354997633995e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.357
y[1] (analytic) = 0.50652736573262851274663459611932
y[1] (numeric) = 0.50652736573262849812321446692257
absolute error = 1.462342012919675e-17
relative error = 2.8869950803241994398372354097878e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.358
y[1] (analytic) = 0.5071619552378980210178216565038
y[1] (numeric) = 0.50716195523789800635886208995414
absolute error = 1.465895956654966e-17
relative error = 2.8903902225224048718178371860051e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.359
y[1] (analytic) = 0.50779647232481306838304405462522
y[1] (numeric) = 0.50779647232481305368865965110056
absolute error = 1.469438440352466e-17
relative error = 2.8937547234722352484580793104858e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.854
Order of pole = 0.9975
x[1] = 0.36
y[1] (analytic) = 0.50843091707126379703072272375312
y[1] (numeric) = 0.50843091707126378230102765273288
absolute error = 1.472969507102024e-17
relative error = 2.8970887836381642640013303558595e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.361
y[1] (analytic) = 0.50906528955501475363781096251685
y[1] (numeric) = 0.50906528955501473887291896443259
absolute error = 1.476489199808426e-17
relative error = 2.9003926020944345205505220464626e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.13
Order of pole = 1.155
x[1] = 0.362
y[1] (analytic) = 0.50969958985370515925005569940938
y[1] (numeric) = 0.50969958985370514445008008748659
absolute error = 1.479997561192279e-17
relative error = 2.9036663765357755342637593370649e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.363
y[1] (analytic) = 0.51033381804484917843774788422635
y[1] (numeric) = 0.5103338180448491636028015463172
absolute error = 1.483494633790915e-17
relative error = 2.9069103032880773366763344680981e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.364
y[1] (analytic) = 0.51096797420583618772929474911212
y[1] (numeric) = 0.51096797420583617285949014951944
absolute error = 1.486980459959268e-17
relative error = 2.9101245773189281158105352806586e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.365
y[1] (analytic) = 0.51160205841393104332493792393322
y[1] (numeric) = 0.5116020584139310284203871052257
absolute error = 1.490455081870752e-17
relative error = 2.9133093922480718475499463290128e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.366
y[1] (analytic) = 0.51223607074627434809293267030462
y[1] (numeric) = 0.51223607074627433315374725512321
absolute error = 1.493918541518141e-17
relative error = 2.9164649403577886030138360791476e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.367
y[1] (analytic) = 0.512870011279882717850494815576
y[1] (numeric) = 0.51287001127988270287678600843172
absolute error = 1.497370880714428e-17
relative error = 2.9195914126031533951936683327858e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.368
y[1] (analytic) = 0.51350388009164904693181332226392
y[1] (numeric) = 0.51350388009164903192369191132685
absolute error = 1.500812141093707e-17
relative error = 2.9226889986222603396846270757562e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.23
Order of pole = 0.7166
memory used=34.3MB, alloc=4.3MB, time=4.13
x[1] = 0.369
y[1] (analytic) = 0.51413767725834277304541781961015
y[1] (numeric) = 0.51413767725834275800299417848997
absolute error = 1.504242364112018e-17
relative error = 2.9257578867462957675409975060281e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.37
y[1] (analytic) = 0.51477140285661014142318185198192
y[1] (numeric) = 0.51477140285661012634656594149978
absolute error = 1.507661591048214e-17
relative error = 2.9287982640095762446158331738568e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.371
y[1] (analytic) = 0.51540505696297446826323406352492
y[1] (numeric) = 0.51540505696297445315253543347687
absolute error = 1.511069863004805e-17
relative error = 2.9318103161594645275417622220971e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.372
y[1] (analytic) = 0.51603863965383640346904103966205
y[1] (numeric) = 0.5160386396538363883243688305739
absolute error = 1.514467220908815e-17
relative error = 2.9347942276662343054916229662473e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.223
Order of pole = 0.7133
x[1] = 0.373
y[1] (analytic) = 0.51667215100547419268691706352162
y[1] (numeric) = 0.51667215100547417750838000839557
absolute error = 1.517853705512605e-17
relative error = 2.9377501817327932378518482776203e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.5462
Order of pole = 0.5425
x[1] = 0.374
y[1] (analytic) = 0.51730559109404393864420761900715
y[1] (numeric) = 0.51730559109404392343191404505974
absolute error = 1.521229357394741e-17
relative error = 2.9406783603044182538347671248207e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.375
y[1] (analytic) = 0.5179389599955798617903850818081
y[1] (numeric) = 0.51793895999557984654444291220014
absolute error = 1.524594216960796e-17
relative error = 2.9435789440782887345716151157368e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.398
Order of pole = 4.644
x[1] = 0.376
y[1] (analytic) = 0.51857225778599456024328668503208
y[1] (numeric) = 0.51857225778599454496380344059011
absolute error = 1.527948324444197e-17
relative error = 2.9464521125130333911160528173519e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 9.946
Order of pole = 14.55
x[1] = 0.377
y[1] (analytic) = 0.5192054845410792690427165271338
y[1] (numeric) = 0.51920548454107925372979932806327
absolute error = 1.531291719907053e-17
relative error = 2.9492980438381674917958505409859e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.2
Order of pole = 1.187
x[1] = 0.378
y[1] (analytic) = 0.51983864033650411871362510626075
y[1] (numeric) = 0.51983864033650410336738067385112
absolute error = 1.534624443240963e-17
relative error = 2.9521169150634194856253824546773e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.379
y[1] (analytic) = 0.52047172524781839314107161685682
y[1] (numeric) = 0.52047172524781837776160627517847
absolute error = 1.537946534167835e-17
relative error = 2.9549089019880075599324510563136e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.765
Order of pole = 0.9412
x[1] = 0.38
y[1] (analytic) = 0.5211047393504507867591660311945
y[1] (numeric) = 0.5211047393504507713465857087874
absolute error = 1.541258032240710e-17
relative error = 2.9576741792098550785174027377062e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.182
Order of pole = 1.932
x[1] = 0.381
y[1] (analytic) = 0.52173768271970966105617981027578
y[1] (numeric) = 0.52173768271970964561059004183032
absolute error = 1.544558976844546e-17
relative error = 2.9604129201346592034415273730400e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.382
y[1] (analytic) = 0.5223705554307833003980059450863
y[1] (numeric) = 0.52237055543078328491951187311585
absolute error = 1.547849407197045e-17
relative error = 2.9631252969849728705937336995565e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.181
Order of pole = 1.928
x[1] = 0.383
y[1] (analytic) = 0.52300335755874016717214092033588
y[1] (numeric) = 0.52300335755874015166084729684153
absolute error = 1.551129362349435e-17
relative error = 2.9658114808091317804135067837386e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.384
y[1] (analytic) = 0.52363608917852915625435311841185
y[1] (numeric) = 0.52363608917852914071036430653912
absolute error = 1.554398881187273e-17
relative error = 2.9684716414901537897625467954966e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.385
y[1] (analytic) = 0.52426875036497984880019414113962
y[1] (numeric) = 0.52426875036497983322361411682726
absolute error = 1.557658002431236e-17
relative error = 2.9711059477545480260251780180573e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.386
y[1] (analytic) = 0.52490134119280276536350152092772
y[1] (numeric) = 0.52490134119280274975443387454872
absolute error = 1.560906764637900e-17
relative error = 2.9737145671810345175814068295067e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.545
Order of pole = 1.41
x[1] = 0.387
y[1] (analytic) = 0.52553386173658961834403332080805
y[1] (numeric) = 0.52553386173658960270258125880279
absolute error = 1.564145206200526e-17
relative error = 2.9762976662092112804292166914210e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.6073
Order of pole = 0.5518
x[1] = 0.388
y[1] (analytic) = 0.52616631207081356376636718460392
y[1] (numeric) = 0.52616631207081354809263353110553
absolute error = 1.567373365349839e-17
relative error = 2.9788554101481427272802798169856e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.389
y[1] (analytic) = 0.5267986922698294523921884938086
y[1] (numeric) = 0.5267986922698294366862756922606
absolute error = 1.570591280154800e-17
relative error = 2.9813879631848700917525517958398e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.39
y[1] (analytic) = 0.52743100240787408016808441657505
y[1] (numeric) = 0.52743100240787406443009453134126
absolute error = 1.573798988523379e-17
relative error = 2.9838954883928597211167828363510e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.391
y[1] (analytic) = 0.52806324255906643801095279634328
y[1] (numeric) = 0.52806324255906642224098751431013
absolute error = 1.576996528203315e-17
relative error = 2.9863781477403632771490051226896e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.392
y[1] (analytic) = 0.5286954127974079609331270229081
y[1] (numeric) = 0.52869541279740794513128765507934
absolute error = 1.580183936782876e-17
relative error = 2.9888361020987152017542911048309e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.092
Order of pole = 0.6665
x[1] = 0.393
y[1] (analytic) = 0.5293275131967827765093102569983
y[1] (numeric) = 0.52932751319678276067569774008199
absolute error = 1.583361251691631e-17
relative error = 2.9912695112505906721845786473631e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.394
y[1] (analytic) = 0.52995954383095795268740464054125
y[1] (numeric) = 0.52995954383095793682211953852941
absolute error = 1.586528510201184e-17
relative error = 2.9936785338981300587086111841099e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.395
y[1] (analytic) = 0.53059150477358374494531341857122
y[1] (numeric) = 0.53059150477358372904845592431184
absolute error = 1.589685749425938e-17
relative error = 2.9960633276710591862151346617595e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.396
y[1] (analytic) = 0.5312233960981938427957862250459
y[1] (numeric) = 0.53122339609819382686745616180756
absolute error = 1.592833006323834e-17
relative error = 2.9984240491347019292127756490944e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.397
y[1] (analytic) = 0.53185521787820561564137014351352
y[1] (numeric) = 0.53185521787820559968166696654264
absolute error = 1.595970317697088e-17
relative error = 3.0007608537979293093929846431644e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.398
y[1] (analytic) = 0.53248697018692035798152154446678
y[1] (numeric) = 0.5324869701869203419905443425373
absolute error = 1.599097720192948e-17
relative error = 3.0030738961210869672399378715066e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.399
y[1] (analytic) = 0.5331186530975235339739261241761
y[1] (numeric) = 0.5331186530975235179517736211321
absolute error = 1.602215250304400e-17
relative error = 3.0053633295237680367360867306231e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.4
y[1] (analytic) = 0.53375026668308502135206702466542
y[1] (numeric) = 0.5337502666830850052988375809562
absolute error = 1.605322944370922e-17
relative error = 3.0076293063926182118730707167451e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=38.1MB, alloc=4.3MB, time=4.61
x[1] = 0.401
y[1] (analytic) = 0.53438181101655935470107340112178
y[1] (numeric) = 0.53438181101655933861686501532981
absolute error = 1.608420838579197e-17
relative error = 3.0098719780890062186454222669964e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.402
y[1] (analytic) = 0.5350132861707859680938743212711
y[1] (numeric) = 0.53501328617078595197878463163273
absolute error = 1.611508968963837e-17
relative error = 3.0120914949566580259588207615019e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.403
y[1] (analytic) = 0.5356446922184894370896754309528
y[1] (numeric) = 0.53564469221848942094380171687171
absolute error = 1.614587371408109e-17
relative error = 3.0142880063292383195518806838822e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.404
y[1] (analytic) = 0.53627602923227972009676840113852
y[1] (numeric) = 0.53627602923227970392020758469212
absolute error = 1.617656081644640e-17
relative error = 3.0164616605378368120340468246235e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.546
Order of pole = 0.8298
x[1] = 0.405
y[1] (analytic) = 0.53690729728465239910167578381752
y[1] (numeric) = 0.53690729728465238289452443125618
absolute error = 1.620715135256134e-17
relative error = 3.0186126049184216620013869395618e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.048
Order of pole = 1.78
x[1] = 0.406
y[1] (analytic) = 0.5375384964479889197666265473644
y[1] (numeric) = 0.53753849644798890352898087060363
absolute error = 1.623764567676077e-17
relative error = 3.0207409858192156508695425949518e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.407
y[1] (analytic) = 0.53816962679455683089735023606925
y[1] (numeric) = 0.53816962679455681462930609417484
absolute error = 1.626804414189441e-17
relative error = 3.0228469486080162172256992053244e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.408
y[1] (analytic) = 0.53880068839651002328317040329888
y[1] (numeric) = 0.53880068839651000698482330396502
absolute error = 1.629834709933386e-17
relative error = 3.0249306376794579787614202556307e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.409
y[1] (analytic) = 0.53943168132588896791137070312668
y[1] (numeric) = 0.53943168132588895158281580414713
absolute error = 1.632855489897955e-17
relative error = 3.0269921964622089691820634058132e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.41
y[1] (analytic) = 0.54006260565462095355779979107295
y[1] (numeric) = 0.54006260565462093719913190180539
absolute error = 1.635866788926756e-17
relative error = 3.0290317674260900475615512927021e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.411
y[1] (analytic) = 0.54069346145452032375567398069482
y[1] (numeric) = 0.54069346145452030736698756351805
absolute error = 1.638868641717677e-17
relative error = 3.0310494920892032084999529474426e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.412
y[1] (analytic) = 0.54132424879728871314452942901038
y[1] (numeric) = 0.54132424879728869672591860077493
absolute error = 1.641861082823545e-17
relative error = 3.0330455110249043335043110374788e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.413
y[1] (analytic) = 0.54195496775451528320126847999755
y[1] (numeric) = 0.54195496775451526675282701346936
absolute error = 1.644844146652819e-17
relative error = 3.0350199638687877408826072959138e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.414
y[1] (analytic) = 0.5425856183976769573552376815282
y[1] (numeric) = 0.54258561839767694087705900682549
absolute error = 1.647817867470271e-17
relative error = 3.0369729893255976829724144801005e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.415
y[1] (analytic) = 0.54321620079813865548926790694592
y[1] (numeric) = 0.54321620079813863898144511296938
absolute error = 1.650782279397654e-17
relative error = 3.0389047251760655674259932519094e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.416
y[1] (analytic) = 0.54384671502715352782859995793028
y[1] (numeric) = 0.54384671502715351129122579378646
absolute error = 1.653737416414382e-17
relative error = 3.0408153082837194978825702062688e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.417
y[1] (analytic) = 0.54447716115586318821961200017142
y[1] (numeric) = 0.54447716115586317165277887658964
absolute error = 1.656683312358178e-17
relative error = 3.0427048746015855703325674292343e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.418
y[1] (analytic) = 0.54510753925529794680025818757158
y[1] (numeric) = 0.54510753925529793020405817831387
absolute error = 1.659620000925771e-17
relative error = 3.0445735591789304191943393743925e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.419
y[1] (analytic) = 0.54573784939637704206412086405148
y[1] (numeric) = 0.54573784939637702543864570731624
absolute error = 1.662547515673524e-17
relative error = 3.0464214961678284814518016549728e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.42
y[1] (analytic) = 0.54636809164990887231997179444025
y[1] (numeric) = 0.54636809164990885566531289425914
absolute error = 1.665465890018111e-17
relative error = 3.0482488188297713886875895032802e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.421
y[1] (analytic) = 0.54699826608659122654873096722355
y[1] (numeric) = 0.54699826608659120986497939485189
absolute error = 1.668375157237166e-17
relative error = 3.0500556595421784013449581600147e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.422
y[1] (analytic) = 0.547628372777011514659704631987
y[1] (numeric) = 0.54762837277701149794695112728769
absolute error = 1.671275350469931e-17
relative error = 3.0518421498048580081197803101341e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.423
y[1] (analytic) = 0.5482584117916469971479773830823
y[1] (numeric) = 0.54825841179164698040631235590328
absolute error = 1.674166502717902e-17
relative error = 3.0536084202464192813744962189205e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.424
y[1] (analytic) = 0.54888838320086501415482627822955
y[1] (numeric) = 0.54888838320086499738433980977474
absolute error = 1.677048646845481e-17
relative error = 3.0553546006306479889488047361052e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.595
Order of pole = 0.5478
x[1] = 0.425
y[1] (analytic) = 0.54951828707492321393301818631645
y[1] (numeric) = 0.54951828707492319713380003051036
absolute error = 1.679921815580609e-17
relative error = 3.0570808198628022723525716489949e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.426
y[1] (analytic) = 0.5501481234839697807188447924329
y[1] (numeric) = 0.55014812348396976389098437727887
absolute error = 1.682786041515403e-17
relative error = 3.0587872059958703642592827399511e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.427
y[1] (analytic) = 0.55077789249804366201274295005368
y[1] (numeric) = 0.55077789249804364515632937898572
absolute error = 1.685641357106796e-17
relative error = 3.0604738862367888546337274079340e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.428
y[1] (analytic) = 0.5514075941870747952703413601226
y[1] (numeric) = 0.55140759418707477838546341335104
absolute error = 1.688487794677156e-17
relative error = 3.0621409869525783168247867427060e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.429
y[1] (analytic) = 0.5520372286208843340057678744689
y[1] (numeric) = 0.55203722862088431709251401031959
absolute error = 1.691325386414931e-17
relative error = 3.0637886336764821133500363916606e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.375
Order of pole = 1.258
x[1] = 0.43
y[1] (analytic) = 0.55266679586918487330904506636812
y[1] (numeric) = 0.55266679586918485636750342261556
absolute error = 1.694154164375256e-17
relative error = 3.0654169511139925743260641715565e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.431
y[1] (analytic) = 0.5532962960015806747793950840202
y[1] (numeric) = 0.55329629600158065780965347921438
absolute error = 1.696974160480582e-17
relative error = 3.0670260631488739068917121048395e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.673
Order of pole = 6.471
x[1] = 0.432
y[1] (analytic) = 0.55392572908756789087626820312432
y[1] (numeric) = 0.55392572908756787387841413791143
absolute error = 1.699785406521289e-17
relative error = 3.0686160928491132803838912344628e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.117
Order of pole = 1.801
memory used=41.9MB, alloc=4.3MB, time=5.08
x[1] = 0.433
y[1] (analytic) = 0.55455509519653478868990292245855
y[1] (numeric) = 0.55455509519653477166402358089544
absolute error = 1.702587934156311e-17
relative error = 3.0701871624728511687101991983632e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.497
Order of pole = 0.7999
x[1] = 0.434
y[1] (analytic) = 0.5551843943977619731332189012932
y[1] (numeric) = 0.55518439439776195607940115215587
absolute error = 1.705381774913733e-17
relative error = 3.0717393934742190860297444611688e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.435
y[1] (analytic) = 0.55581362676042260955683751945555
y[1] (numeric) = 0.5558136267604225924751679175415
absolute error = 1.708166960191405e-17
relative error = 3.0732729065091664315404403522887e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.436
y[1] (analytic) = 0.556442792353582645789018349792
y[1] (numeric) = 0.55644279235358262867958313721651
absolute error = 1.710943521257549e-17
relative error = 3.0747878214412334176753195560881e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.437
y[1] (analytic) = 0.55707189124620103360229336851862
y[1] (numeric) = 0.55707189124620101646517847600497
absolute error = 1.713711489251365e-17
relative error = 3.0762842573472812976424902704350e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.438
y[1] (analytic) = 0.5577009235071299496085742913867
y[1] (numeric) = 0.55770092350712993244386533955052
absolute error = 1.716470895183618e-17
relative error = 3.0777623325231479729868904960872e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.439
y[1] (analytic) = 0.55832988920511501558450201259322
y[1] (numeric) = 0.55832988920511499839228431322086
absolute error = 1.719221769937236e-17
relative error = 3.0792221644892833199954957670451e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.44
y[1] (analytic) = 0.5589587884087955182288007388129
y[1] (numeric) = 0.55895878840879550100915929613376
absolute error = 1.721964144267914e-17
relative error = 3.0806638699963554679385361750186e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.841
Order of pole = 6.718
x[1] = 0.441
y[1] (analytic) = 0.5595876211867046283533930524963
y[1] (numeric) = 0.55958762118670461110641256444937
absolute error = 1.724698048804693e-17
relative error = 3.0820875650307728780482000844411e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.442
y[1] (analytic) = 0.5602163876072696195100258065466
y[1] (numeric) = 0.56021638760726960223579066604117
absolute error = 1.727423514050543e-17
relative error = 3.0834933648201746686570297256901e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.615
Order of pole = 1.406
x[1] = 0.443
y[1] (analytic) = 0.56084508773881208605415044653268
y[1] (numeric) = 0.56084508773881206875274474270303
absolute error = 1.730140570382965e-17
relative error = 3.0848813838389161989331216708185e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.444
y[1] (analytic) = 0.56147372164954816064779507659805
y[1] (numeric) = 0.5614737216495481433193025960526
absolute error = 1.732849248054545e-17
relative error = 3.0862517358134306373108445918611e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.445
y[1] (analytic) = 0.56210228940758873120315933106585
y[1] (numeric) = 0.5621022894075887138476635591303
absolute error = 1.735549577193555e-17
relative error = 3.0876045337276365114407677905837e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.446
y[1] (analytic) = 0.5627307910809396572686568852955
y[1] (numeric) = 0.56273079108093963988624100725035
absolute error = 1.738241587804515e-17
relative error = 3.0889398898282380712908593123867e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.447
y[1] (analytic) = 0.5633592267375019858591242365031
y[1] (numeric) = 0.56335922673750196844987113881548
absolute error = 1.740925309768762e-17
relative error = 3.0902579156300009727825000325062e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.448
y[1] (analytic) = 0.563987596445072166731908207893
y[1] (numeric) = 0.56398759644507214929590047944266
absolute error = 1.743600772845034e-17
relative error = 3.0915587219210176761683315073942e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.305
Order of pole = 1.2
x[1] = 0.449
y[1] (analytic) = 0.56461590027134226711053847744555
y[1] (numeric) = 0.56461590027134224964785841074539
absolute error = 1.746268006670016e-17
relative error = 3.0928424187678687870389144985409e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.45
y[1] (analytic) = 0.56524413828390018585768530595088
y[1] (numeric) = 0.5652441382839001683684148983617
absolute error = 1.748927040758918e-17
relative error = 3.0941091155208050066318160806427e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.451
y[1] (analytic) = 0.5658723105502298670990965372499
y[1] (numeric) = 0.56587231055022984958331749218964
absolute error = 1.751577904506026e-17
relative error = 3.0953589208188452839720039980535e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.452
y[1] (analytic) = 0.5665004171377115133002018670304
y[1] (numeric) = 0.56650041713771149575799559517774
absolute error = 1.754220627185266e-17
relative error = 3.0965919425948624456388523081810e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.453
y[1] (analytic) = 0.56712845811362179779706632480892
y[1] (numeric) = 0.56712845811362178022851394530141
absolute error = 1.756855237950751e-17
relative error = 3.0978082880806035183613189099677e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.454
y[1] (analytic) = 0.56775643354513407678336888679615
y[1] (numeric) = 0.56775643354513405918855122842276
absolute error = 1.759481765837339e-17
relative error = 3.0990080638116945831061967699866e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.455
y[1] (analytic) = 0.56838434349931860075507613507865
y[1] (numeric) = 0.56838434349931858313407373746692
absolute error = 1.762100239761173e-17
relative error = 3.1001913756325792743488465170940e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.676
Order of pole = 0.8676
x[1] = 0.456
y[1] (analytic) = 0.56901218804314272541447490084118
y[1] (numeric) = 0.56901218804314270776736801563879
absolute error = 1.764710688520239e-17
relative error = 3.1013583287014547203564264358749e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.457
y[1] (analytic) = 0.5696399672434711220352218760866
y[1] (numeric) = 0.56963996724347110436209046813762
absolute error = 1.767313140794898e-17
relative error = 3.1025090274951277180158888262090e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.458
y[1] (analytic) = 0.57026768116706598729006224937455
y[1] (numeric) = 0.57026768116706596959098599789026
absolute error = 1.769907625148429e-17
relative error = 3.1036435758138566541178385189706e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.459
y[1] (analytic) = 0.57089532988058725254286351638145
y[1] (numeric) = 0.57089532988058723481792181610572
absolute error = 1.772494170027573e-17
relative error = 3.1047620767861617816873025186455e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.46
y[1] (analytic) = 0.57152291345059279260660473547305
y[1] (numeric) = 0.57152291345059277485587669784246
absolute error = 1.775072803763059e-17
relative error = 3.1058646328735708652426513069321e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.461
y[1] (analytic) = 0.5721504319435386339689556418664
y[1] (numeric) = 0.57215043194353861619252009616504
absolute error = 1.777643554570136e-17
relative error = 3.1069513458753426532064798339663e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.462
y[1] (analytic) = 0.57277788542577916248707420122938
y[1] (numeric) = 0.57277788542577914468500969573827
absolute error = 1.780206450549111e-17
relative error = 3.1080223169331683622964243413015e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.244
Order of pole = 2.839
x[1] = 0.463
y[1] (analytic) = 0.57340527396356733055324537461372
y[1] (numeric) = 0.57340527396356731272563017775504
absolute error = 1.782761519685868e-17
relative error = 3.1090776465358077578137743113312e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.464
y[1] (analytic) = 0.57403259762305486373297808133412
y[1] (numeric) = 0.5740325976230548458798901828102
absolute error = 1.785308789852392e-17
relative error = 3.1101174345237021542162968389250e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=45.7MB, alloc=4.3MB, time=5.55
x[1] = 0.465
y[1] (analytic) = 0.57465985647029246687717158468082
y[1] (numeric) = 0.57465985647029244899868869660785
absolute error = 1.787848288807297e-17
relative error = 3.1111417800935627865315225377164e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.604
Order of pole = 0.8332
x[1] = 0.466
y[1] (analytic) = 0.57528705057123002970995678707975
y[1] (numeric) = 0.57528705057123001180615634511637
absolute error = 1.790380044196338e-17
relative error = 3.1121507818028999895771410058913e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.467
y[1] (analytic) = 0.57591417999171683189381220638535
y[1] (numeric) = 0.57591417999171681396477137085612
absolute error = 1.792904083552923e-17
relative error = 3.1131445375745214322446271824587e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.468
y[1] (analytic) = 0.57654124479750174757354871329942
y[1] (numeric) = 0.57654124479750172961934437031302
absolute error = 1.795420434298640e-17
relative error = 3.1141231447010256736145955759260e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 10.1
Order of pole = 13.66
x[1] = 0.469
y[1] (analytic) = 0.5771682450542334494007514413479
y[1] (numeric) = 0.57716824505423343142146020391033
absolute error = 1.797929123743757e-17
relative error = 3.1150866998492183212275887173897e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.47
y[1] (analytic) = 0.57779518082746061204026163531308
y[1] (numeric) = 0.57779518082746059403595984443576
absolute error = 1.800430179087732e-17
relative error = 3.1160352990645154296666447758373e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.471
y[1] (analytic) = 0.5784220521826321151602755814028
y[1] (numeric) = 0.57842205218263209713103930720563
absolute error = 1.802923627419717e-17
relative error = 3.1169690377753065883145251147145e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.273
Order of pole = 1.165
x[1] = 0.472
y[1] (analytic) = 0.57904885918509724590763216263912
y[1] (numeric) = 0.57904885918509722785353720544843
absolute error = 1.805409495719069e-17
relative error = 3.1178880107973004677883218000929e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.473
y[1] (analytic) = 0.57967560190010590086985500586028
y[1] (numeric) = 0.57967560190010588279097689730186
absolute error = 1.807887810855842e-17
relative error = 3.1187923123378081184362269103026e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.474
y[1] (analytic) = 0.58030228039280878752550963225028
y[1] (numeric) = 0.58030228039280876942192363633744
absolute error = 1.810358599591284e-17
relative error = 3.1196820360000058624166088158659e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.475
y[1] (analytic) = 0.58092889472825762518443049133472
y[1] (numeric) = 0.58092889472825760705621160555127
absolute error = 1.812821888578345e-17
relative error = 3.1205572747871882747348490040618e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.476
y[1] (analytic) = 0.5815554449714053454193672488082
y[1] (numeric) = 0.58155544497140532726659020518667
absolute error = 1.815277704362153e-17
relative error = 3.1214181211069374012563506533188e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.477
y[1] (analytic) = 0.58218193118710629199059421128685
y[1] (numeric) = 0.58218193118710627381333347748171
absolute error = 1.817726073380514e-17
relative error = 3.1222646667753050473605723039551e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.478
y[1] (analytic) = 0.58280835344011642026502130600482
y[1] (numeric) = 0.5828083534401164020633510863608
absolute error = 1.820167021964402e-17
relative error = 3.1230970030209497132756489176001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.704
Order of pole = 3.328
x[1] = 0.479
y[1] (analytic) = 0.58343471179509349613133959049795
y[1] (numeric) = 0.58343471179509347790533382711359
absolute error = 1.822600576338436e-17
relative error = 3.1239152204892233875391051264812e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.28
Order of pole = 0.7091
x[1] = 0.48
y[1] (analytic) = 0.58406100631659729441272884633945
y[1] (numeric) = 0.58406100631659727616246122012575
absolute error = 1.825026762621370e-17
relative error = 3.1247194092462531032823236464258e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.481
y[1] (analytic) = 0.58468723706908979677864941191085
y[1] (numeric) = 0.58468723706908977850419334364513
absolute error = 1.827445606826572e-17
relative error = 3.1255096587829762612810005703993e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.482
y[1] (analytic) = 0.5853134041169353891572350319085
y[1] (numeric) = 0.58531340411693537085866368328349
absolute error = 1.829857134862501e-17
relative error = 3.1262860580191454545754652984743e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.052
Order of pole = 0.6407
x[1] = 0.483
y[1] (analytic) = 0.58593950752440105864979814570158
y[1] (numeric) = 0.58593950752440104032718442036979
absolute error = 1.832261372533179e-17
relative error = 3.1270486953072979148534916840834e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.484
y[1] (analytic) = 0.58656554735565658994895370267412
y[1] (numeric) = 0.58656554735565657160237024728737
absolute error = 1.834658345538675e-17
relative error = 3.1277976584367188391139419174576e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.485
y[1] (analytic) = 0.58719152367477476126186228020202
y[1] (numeric) = 0.58719152367477474289138148544637
absolute error = 1.837048079475565e-17
relative error = 3.1285330346373373453021411840271e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.486
y[1] (analytic) = 0.5878174365457315397400879888406
y[1] (numeric) = 0.58781743654573152134578199046651
absolute error = 1.839430599837409e-17
relative error = 3.1292549105836253203757752983165e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.059
Order of pole = 0.6423
x[1] = 0.487
y[1] (analytic) = 0.58844328603240627641756137952992
y[1] (numeric) = 0.58844328603240625799950205937784
absolute error = 1.841805932015208e-17
relative error = 3.1299633723984362730535320756641e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.488
y[1] (analytic) = 0.58906907219858190065813231906942
y[1] (numeric) = 0.58906907219858188221639130609063
absolute error = 1.844174101297879e-17
relative error = 3.1306585056568491574704750477101e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.489
y[1] (analytic) = 0.58969479510794511411419257267215
y[1] (numeric) = 0.58969479510794509564884124394512
absolute error = 1.846535132872703e-17
relative error = 3.1313403953899408314927588038647e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.49
y[1] (analytic) = 0.5903204548240865841978426259895
y[1] (numeric) = 0.59032045482408656570895210773151
absolute error = 1.848889051825799e-17
relative error = 3.1320091260885774722032484400146e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.491
y[1] (analytic) = 0.5909460514105011370660720935008
y[1] (numeric) = 0.59094605141050111855371326207511
absolute error = 1.851235883142569e-17
relative error = 3.1326647817071317480762451123348e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.492
y[1] (analytic) = 0.59157158493058795012141789549838
y[1] (numeric) = 0.59157158493058793158566137841675
absolute error = 1.853575651708163e-17
relative error = 3.1333074456672091386938150656664e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.493
y[1] (analytic) = 0.5921970554476507440295592419695
y[1] (numeric) = 0.59219705544765072547047541889031
absolute error = 1.855908382307919e-17
relative error = 3.1339372008613073570460790501030e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.494
y[1] (analytic) = 0.59282246302489797425530333839168
y[1] (numeric) = 0.59282246302489795567296234211342
absolute error = 1.858234099627826e-17
relative error = 3.1345541296564903479002581936845e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.495
y[1] (analytic) = 0.5934478077254430221184106257212
y[1] (numeric) = 0.59344780772544300351288234317159
absolute error = 1.860552828254961e-17
relative error = 3.1351583138979941970636997100909e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.496
y[1] (analytic) = 0.59407308961230438537070328457645
y[1] (numeric) = 0.59407308961230436674205735779702
absolute error = 1.862864592677943e-17
relative error = 3.1357498349128378455422856748326e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=49.5MB, alloc=4.3MB, time=6.03
x[1] = 0.497
y[1] (analytic) = 0.59469830874840586829589567170288
y[1] (numeric) = 0.59469830874840584964420149882917
absolute error = 1.865169417287371e-17
relative error = 3.1363287735133830933941634944958e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.498
y[1] (analytic) = 0.59532346519657677133358031516558
y[1] (numeric) = 0.59532346519657675265890705140291
absolute error = 1.867467326376267e-17
relative error = 3.1368952100008795514321843467501e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.499
y[1] (analytic) = 0.59594855901955208022879807325578
y[1] (numeric) = 0.59594855901955206153121463185065
absolute error = 1.869758344140513e-17
relative error = 3.1374492241689762036244270981129e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.5
y[1] (analytic) = 0.5965735902799726547086160607291
y[1] (numeric) = 0.59657359027997263598819111393617
absolute error = 1.872042494679293e-17
relative error = 3.1379908953072182739255541091844e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.127
Order of pole = 1.066
x[1] = 0.501
y[1] (analytic) = 0.59719855904038541668713196462492
y[1] (numeric) = 0.59719855904038539794393394466973
absolute error = 1.874319801995519e-17
relative error = 3.1385203022044943511232554017118e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.502
y[1] (analytic) = 0.59782346536324353800031841045922
y[1] (numeric) = 0.59782346536324351923441551049644
absolute error = 1.876590289996278e-17
relative error = 3.1390375231524960368933175342133e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.503
y[1] (analytic) = 0.59844830931090662767211609794578
y[1] (numeric) = 0.59844830931090660888357627301334
absolute error = 1.878853982493244e-17
relative error = 3.1395426359490964600991801450381e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.504
y[1] (analytic) = 0.59907309094564091871317950349718
y[1] (numeric) = 0.59907309094564089990207047146604
absolute error = 1.881110903203114e-17
relative error = 3.1400357179017467450110203748055e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 8.268
Order of pole = 9.01
x[1] = 0.505
y[1] (analytic) = 0.59969781032961945445367404449515
y[1] (numeric) = 0.59969781032961943562006328701472
absolute error = 1.883361075748043e-17
relative error = 3.1405168458308486245341841764791e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.506
y[1] (analytic) = 0.60032246752492227441151871761402
y[1] (numeric) = 0.60032246752492225555547348105348
absolute error = 1.885604523656054e-17
relative error = 3.1409860960730634033631303655024e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.507
y[1] (analytic) = 0.60094706259353659969746336024332
y[1] (numeric) = 0.60094706259353658081905065662866
absolute error = 1.887841270361466e-17
relative error = 3.1414435444846292974555654761842e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.508
y[1] (analytic) = 0.60157159559735701795838484019698
y[1] (numeric) = 0.60157159559735699905767144814384
absolute error = 1.890071339205314e-17
relative error = 3.1418892664446438782422403018011e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.509
y[1] (analytic) = 0.60219606659818566786018165433222
y[1] (numeric) = 0.60219606659818564893723411997459
absolute error = 1.892294753435763e-17
relative error = 3.1423233368583152054480112594879e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.896
Order of pole = 1.539
x[1] = 0.51
y[1] (analytic) = 0.60282047565773242311164161134392
y[1] (numeric) = 0.60282047565773240416652624925863
absolute error = 1.894511536208529e-17
relative error = 3.1427458301602034501311882249003e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.511
y[1] (analytic) = 0.60344482283761507603065248776332
y[1] (numeric) = 0.60344482283761505706343538189041
absolute error = 1.896721710587291e-17
relative error = 3.1431568203174265715607628863948e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.512
y[1] (analytic) = 0.60406910819935952065412077898925
y[1] (numeric) = 0.60406910819935950166486778354829
absolute error = 1.898925299544096e-17
relative error = 3.1435563808328336279827829551226e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.749
Order of pole = 0.8777
x[1] = 0.513
y[1] (analytic) = 0.6046933318043999353929589189296
y[1] (numeric) = 0.6046933318043999163817356593318
absolute error = 1.901122325959780e-17
relative error = 3.1439445847481839999811701807075e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.514
y[1] (analytic) = 0.60531749371407896523349661244505
y[1] (numeric) = 0.60531749371407894620036848620147
absolute error = 1.903312812624358e-17
relative error = 3.1443215046472548474657367099371e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.515
y[1] (analytic) = 0.60594159398964790348666721418472
y[1] (numeric) = 0.60594159398964788443169939181026
absolute error = 1.905496782237446e-17
relative error = 3.1446872126589812970153840223763e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.516
y[1] (analytic) = 0.60656563269226687308631539549605
y[1] (numeric) = 0.6065656326922668540095728214094
absolute error = 1.907674257408665e-17
relative error = 3.1450417804605467012591298778313e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.517
y[1] (analytic) = 0.60718960988300500743796766779985
y[1] (numeric) = 0.60718960988300498833951506121964
absolute error = 1.909845260658021e-17
relative error = 3.1453852792804134566040053984028e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.518
y[1] (analytic) = 0.60781352562284063081940267606092
y[1] (numeric) = 0.60781352562284061169930453189765
absolute error = 1.912009814416327e-17
relative error = 3.1457177799014034009631473746431e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.519
y[1] (analytic) = 0.60843737997266143833435353967098
y[1] (numeric) = 0.60843737997266141919267412941507
absolute error = 1.914167941025591e-17
relative error = 3.1460393526637025339326572988763e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.52
y[1] (analytic) = 0.60906117299326467542066990011515
y[1] (numeric) = 0.60906117299326465625747327272103
absolute error = 1.916319662739412e-17
relative error = 3.1463500674678595690823870538258e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.521
y[1] (analytic) = 0.60968490474535731691426273513078
y[1] (numeric) = 0.60968490474535729772961271789706
absolute error = 1.918465001723372e-17
relative error = 3.1466499937777586885594402934227e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.522
y[1] (analytic) = 0.61030857528955624567015041760855
y[1] (numeric) = 0.61030857528955622646411061705427
absolute error = 1.920603980055428e-17
relative error = 3.1469392006235732468861573060195e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.523
y[1] (analytic) = 0.61093218468638843074191993414862
y[1] (numeric) = 0.61093218468638841151455373688556
absolute error = 1.922736619726306e-17
relative error = 3.1472177566047038419586544626555e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.524
y[1] (analytic) = 0.61155573299629110512091263288872
y[1] (numeric) = 0.6115557329962910858722832064899
absolute error = 1.924862942639882e-17
relative error = 3.1474857298926763453390755986141e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.101
Order of pole = 0.648
x[1] = 0.525
y[1] (analytic) = 0.6121792202796119430364393428869
y[1] (numeric) = 0.61217922027961192376660963675115
absolute error = 1.926982970613575e-17
relative error = 3.1477431882340410230817102178647e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.526
y[1] (analytic) = 0.61280264659660923681832519788792
y[1] (numeric) = 0.61280264659660921752735794410074
absolute error = 1.929096725378718e-17
relative error = 3.1479901989532172644877146068726e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.527
y[1] (analytic) = 0.61342601200745207332308000565182
y[1] (numeric) = 0.61342601200745205401103771984226
absolute error = 1.931204228580956e-17
relative error = 3.1482268289553641928587419775103e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.528
y[1] (analytic) = 0.61404931657222050992498553009365
y[1] (numeric) = 0.61404931657222049059193051228749
absolute error = 1.933305501780616e-17
relative error = 3.1484531447291874127714851333784e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=53.4MB, alloc=4.3MB, time=6.51
x[1] = 0.529
y[1] (analytic) = 0.61467256035090575007338659720058
y[1] (numeric) = 0.61467256035090573071938093266971
absolute error = 1.935400566453087e-17
relative error = 3.1486692123497441764887530333817e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.53
y[1] (analytic) = 0.61529574340341031841746849697362
y[1] (numeric) = 0.61529574340341029904257405708168
absolute error = 1.937489443989194e-17
relative error = 3.1488750974812209846026246430085e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.531
y[1] (analytic) = 0.61591886578954823549979873241202
y[1] (numeric) = 0.61591886578954821610407717545619
absolute error = 1.939572155695583e-17
relative error = 3.1490708653797114247760938658151e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.631
Order of pole = 2.098
x[1] = 0.532
y[1] (analytic) = 0.61654192756904519201990676273852
y[1] (numeric) = 0.61654192756904517260341953478774
absolute error = 1.941648722795078e-17
relative error = 3.1492565808959309983862945130184e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.533
y[1] (analytic) = 0.61716492880153872266917100157905
y[1] (numeric) = 0.61716492880153870323197933730846
absolute error = 1.943719166427059e-17
relative error = 3.1494323084779487831323532287905e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.534
y[1] (analytic) = 0.61778786954657837953827796158108
y[1] (numeric) = 0.61778786954657836008044288510271
absolute error = 1.945783507647837e-17
relative error = 3.1495981121738969718279980913718e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.535
y[1] (analytic) = 0.61841074986362590509851408490695
y[1] (numeric) = 0.61841074986362588562009641059684
absolute error = 1.947841767431011e-17
relative error = 3.1497540556346341949900737503755e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.536
y[1] (analytic) = 0.6190335698120554047581464640953
y[1] (numeric) = 0.61903356981205538525920679741689
absolute error = 1.949893966667841e-17
relative error = 3.1499002021164178843144206278619e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.537
y[1] (analytic) = 0.6196563294511535189951443398687
y[1] (numeric) = 0.61965632945115349947574307819265
absolute error = 1.951940126167605e-17
relative error = 3.1500366144835339790618079606370e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.538
y[1] (analytic) = 0.62027902884011959506748896150548
y[1] (numeric) = 0.62027902884011957552768629492586
absolute error = 1.953980266657962e-17
relative error = 3.1501633552109197501737229563253e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.539
y[1] (analytic) = 0.62090166803806585830231511131152
y[1] (numeric) = 0.62090166803806583874217102345832
absolute error = 1.956014408785320e-17
relative error = 3.1502804863867781869006874250423e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.54
y[1] (analytic) = 0.62152424710401758296512332745038
y[1] (numeric) = 0.6215242471040175633846975962985
absolute error = 1.958042573115188e-17
relative error = 3.1503880697151502241972381623090e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.541
y[1] (analytic) = 0.62214676609691326271029760884348
y[1] (numeric) = 0.62214676609691324310964980751826
absolute error = 1.960064780132522e-17
relative error = 3.1504861665184611865024754503395e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.542
y[1] (analytic) = 0.62276922507560478061415915196158
y[1] (numeric) = 0.62276922507560476099334864954057
absolute error = 1.962081050242101e-17
relative error = 3.1505748377400994414651265306373e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.543
y[1] (analytic) = 0.6233916240988575787917824520209
y[1] (numeric) = 0.62339162409885755915086841433223
absolute error = 1.964091403768867e-17
relative error = 3.1506541439469211728117658326683e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.544
y[1] (analytic) = 0.6240139632253508275987959003008
y[1] (numeric) = 0.62401396322535080793783729071802
absolute error = 1.966095860958278e-17
relative error = 3.1507241453317603188215500260919e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.545
y[1] (analytic) = 0.62463624251367759441938482493992
y[1] (numeric) = 0.6246362425136775747384404051734
absolute error = 1.968094441976652e-17
relative error = 3.1507849017159084265137057377382e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.546
y[1] (analytic) = 0.62525846202234501204171075457332
y[1] (numeric) = 0.62525846202234499234083908545803
absolute error = 1.970087166911529e-17
relative error = 3.1508364725516078198704536458372e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.547
y[1] (analytic) = 0.62588062180977444662195653247128
y[1] (numeric) = 0.62588062180977442690121597475124
absolute error = 1.972074055772004e-17
relative error = 3.1508789169244829017875712578762e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.548
y[1] (analytic) = 0.62650272193430166523820277336125
y[1] (numeric) = 0.62650272193430164549765148847047
absolute error = 1.974055128489078e-17
relative error = 3.1509122935559850459310588595647e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.549
y[1] (analytic) = 0.62712476245417700303533703578442
y[1] (numeric) = 0.62712476245417698327503298662442
absolute error = 1.976030404916000e-17
relative error = 3.1509366608058079368919032170053e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.55
y[1] (analytic) = 0.62774674342756552996219297958825
y[1] (numeric) = 0.62774674342756551018219393130223
absolute error = 1.977999904828602e-17
relative error = 3.1509520766742767559867536117812e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.551
y[1] (analytic) = 0.6283686649125472171021126909152
y[1] (numeric) = 0.62836866491254719730247621165868
absolute error = 1.979963647925652e-17
relative error = 3.1509585988047511857732484215012e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.049
Order of pole = 0.6308
x[1] = 0.552
y[1] (analytic) = 0.62899052696711710259812128574422
y[1] (numeric) = 0.6289905269671170827789047474525
absolute error = 1.981921653829172e-17
relative error = 3.1509562844859578818753127441956e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.553
y[1] (analytic) = 0.62961232964918545717389884760865
y[1] (numeric) = 0.62961232964918543733515942676069
absolute error = 1.983873942084796e-17
relative error = 3.1509451906543720268780563049462e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.554
y[1] (analytic) = 0.6302340730165779492517307154775
y[1] (numeric) = 0.63023407301657792939352539385664
absolute error = 1.985820532162086e-17
relative error = 3.1509253738965175230307690813131e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.555
y[1] (analytic) = 0.63085575712703580966861311388342
y[1] (numeric) = 0.63085575712703578979099867933464
absolute error = 1.987761443454878e-17
relative error = 3.1508968904513005218389465876838e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.556
y[1] (analytic) = 0.63147738203821599599168710913522
y[1] (numeric) = 0.63147738203821597609472015631917
absolute error = 1.989696695281605e-17
relative error = 3.1508597962122921366288665936287e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.557
y[1] (analytic) = 0.63209894780769135643416988280212
y[1] (numeric) = 0.63209894780769133651790681394582
absolute error = 1.991626306885630e-17
relative error = 3.1508141467300129009005678747905e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.7828
Order of pole = 0.5724
x[1] = 0.558
y[1] (analytic) = 0.63272045449295079337294833652882
y[1] (numeric) = 0.6327204544929507734374453621731
absolute error = 1.993550297435572e-17
relative error = 3.1507599972141920982461482342922e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.559
y[1] (analytic) = 0.63334190215139942646899608057
y[1] (numeric) = 0.63334190215139940651430922031361
absolute error = 1.995468686025639e-17
relative error = 3.1506974025360242472614582380672e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.56
y[1] (analytic) = 0.63396329084035875539177091215028
y[1] (numeric) = 0.63396329084035873541795599539083
absolute error = 1.997381491675945e-17
relative error = 3.1506264172303864870658963206487e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.561
y[1] (analytic) = 0.63458462061706682214874595879568
y[1] (numeric) = 0.63458462061706680215585862546739
memory used=57.2MB, alloc=4.3MB, time=6.97
absolute error = 1.999288733332829e-17
relative error = 3.1505470954980455021917477393328e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.562
y[1] (analytic) = 0.63520589153867837302122374607688
y[1] (numeric) = 0.63520589153867835300931944738489
absolute error = 2.001190429869199e-17
relative error = 3.1504594912078902728672289828976e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.039
Order of pole = 0.6269
x[1] = 0.563
y[1] (analytic) = 0.63582710366226502010757854868622
y[1] (numeric) = 0.63582710366226500007671254783801
absolute error = 2.003086600084821e-17
relative error = 3.1503636578990646593360007103267e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.564
y[1] (analytic) = 0.63644825704481540247506849837655
y[1] (numeric) = 0.6364482570448153824252958713099
absolute error = 2.004977262706665e-17
relative error = 3.1502596487831764867867554142175e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.565
y[1] (analytic) = 0.63706935174323534692135505194852
y[1] (numeric) = 0.6370693517432353268527306880565
absolute error = 2.006862436389202e-17
relative error = 3.1501475167464162273559636556173e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.566
y[1] (analytic) = 0.6376903878143480283468635671256
y[1] (numeric) = 0.6376903878143480082594421699782
absolute error = 2.008742139714740e-17
relative error = 3.1500273143517238990759756169696e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.912
Order of pole = 0.9282
x[1] = 0.567
y[1] (analytic) = 0.6383113653148941297391148937305
y[1] (numeric) = 0.63831136531489410963295098179338
absolute error = 2.010616391193712e-17
relative error = 3.1498990938408675616780744778922e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.568
y[1] (analytic) = 0.63893228430153200177015406201468
y[1] (numeric) = 0.63893228430153198164530196936457
absolute error = 2.012485209265011e-17
relative error = 3.1497629071365827016337248351658e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.418
Order of pole = 1.184
x[1] = 0.569
y[1] (analytic) = 0.63955314483083782200819833922258
y[1] (numeric) = 0.63955314483083780186471221625964
absolute error = 2.014348612296294e-17
relative error = 3.1496188058446501377780239100574e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.449
Order of pole = 0.7452
x[1] = 0.57
y[1] (analytic) = 0.64017394695930575374462312943618
y[1] (numeric) = 0.64017394695930573358255694359336
absolute error = 2.016206618584282e-17
relative error = 3.1494668412559550462481000800263e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.262
Order of pole = 0.6858
x[1] = 0.571
y[1] (analytic) = 0.64079469074334810443740041037552
y[1] (numeric) = 0.6407946907433480842568079468247
absolute error = 2.018059246355082e-17
relative error = 3.1493070643485678126096486833195e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.572
y[1] (analytic) = 0.64141537623929548377210063406355
y[1] (numeric) = 0.64141537623929546357303549641864
absolute error = 2.019906513764491e-17
relative error = 3.1491395257897842064052577486786e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.573
y[1] (analytic) = 0.64203600350339696134156526603765
y[1] (numeric) = 0.64203600350339694112408087705474
absolute error = 2.021748438898291e-17
relative error = 3.1489642759381391764716946783360e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.574
y[1] (analytic) = 0.6426565725918202239453534000405
y[1] (numeric) = 0.64265657259182020370950300231492
absolute error = 2.023585039772558e-17
relative error = 3.1487813648454302393755368706648e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.575
y[1] (analytic) = 0.6432770835606517325100621617872
y[1] (numeric) = 0.64327708356065171225589881844749
absolute error = 2.025416334333971e-17
relative error = 3.1485908422587286376597500296652e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.576
y[1] (analytic) = 0.64389753646589687863161690642125
y[1] (numeric) = 0.64389753646589685835919350182019
absolute error = 2.027242340460106e-17
relative error = 3.1483927576223550597922399579842e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.577
y[1] (analytic) = 0.6445179313634801407406235195778
y[1] (numeric) = 0.64451793136348012044999275998049
absolute error = 2.029063075959731e-17
relative error = 3.1481871600798449903426411839332e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.578
y[1] (analytic) = 0.64513826830924523989187145150535
y[1] (numeric) = 0.64513826830924521958308586577424
absolute error = 2.030878558573111e-17
relative error = 3.1479740984759177155856100320349e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.8826
Order of pole = 0.5902
x[1] = 0.579
y[1] (analytic) = 0.64575854735895529517907244739525
y[1] (numeric) = 0.64575854735895527485218438767216
absolute error = 2.032688805972309e-17
relative error = 3.1477536213584272848877856020745e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.58
y[1] (analytic) = 0.64637876856829297877591628487188
y[1] (numeric) = 0.64637876856829295843097792725725
absolute error = 2.034493835761463e-17
relative error = 3.1475257769802646123207825861372e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.581
y[1] (analytic) = 0.64699893199286067060452119144355
y[1] (numeric) = 0.6469989319928606502415845366726
absolute error = 2.036293665477095e-17
relative error = 3.1472906133012976046020064862417e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.582
y[1] (analytic) = 0.6476190376881806126323529905429
y[1] (numeric) = 0.64761903768818059225146986465888
absolute error = 2.038088312588402e-17
relative error = 3.1470481779902718592985469250293e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.583
y[1] (analytic) = 0.64823908570969506279868341453802
y[1] (numeric) = 0.64823908570969504239990546956262
absolute error = 2.039877794497540e-17
relative error = 3.1467985184266891710955177914094e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.72
Order of pole = 2.094
x[1] = 0.584
y[1] (analytic) = 0.64885907611276644857165442670982
y[1] (numeric) = 0.64885907611276642815503314131064
absolute error = 2.041662128539918e-17
relative error = 3.1465416817026901990528780906443e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.585
y[1] (analytic) = 0.64947900895267752013701181160732
y[1] (numeric) = 0.64947900895267749970259849176254
absolute error = 2.043441331984478e-17
relative error = 3.1462777146249043189534483209681e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.586
y[1] (analytic) = 0.65009888428463150321956772435265
y[1] (numeric) = 0.65009888428463148276741350401265
absolute error = 2.045215422034000e-17
relative error = 3.1460066637163268752321758975868e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.587
y[1] (analytic) = 0.65071870216375225153844833430932
y[1] (numeric) = 0.65071870216375223106860417605571
absolute error = 2.046984415825361e-17
relative error = 3.1457285752181145441847138057183e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.588
y[1] (analytic) = 0.65133846264508439889717915699665
y[1] (numeric) = 0.65133846264508437840969585269821
absolute error = 2.048748330429844e-17
relative error = 3.1454434950914467472425907143792e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.589
y[1] (analytic) = 0.65195816578359351090965714016458
y[1] (numeric) = 0.65195816578359349040458531163055
absolute error = 2.050507182853403e-17
relative error = 3.1451514690193084981894418109456e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.59
y[1] (analytic) = 0.6525778116341662363630550554856
y[1] (numeric) = 0.65257781163416621584044515511608
absolute error = 2.052260990036952e-17
relative error = 3.1448525424082994131471377468049e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.591
y[1] (analytic) = 0.65319740025161045821870024630952
y[1] (numeric) = 0.65319740025161043767860255774307
absolute error = 2.054009768856645e-17
relative error = 3.1445467603904181932261785925076e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.406
Order of pole = 1.162
x[1] = 0.592
y[1] (analytic) = 0.65381693169065544425196629430862
y[1] (numeric) = 0.65381693169065542369443093306711
absolute error = 2.055753536124151e-17
relative error = 3.1442341678248288648076188691524e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.593
y[1] (analytic) = 0.65443640600595199733221269355595
y[1] (numeric) = 0.65443640600595197675728960768663
memory used=61.0MB, alloc=4.3MB, time=7.45
absolute error = 2.057492308586932e-17
relative error = 3.1439148092996211268881405657065e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.745
Order of pole = 1.36
x[1] = 0.594
y[1] (analytic) = 0.6550558232520726053438041595711
y[1] (numeric) = 0.65505582325207258475154313028595
absolute error = 2.059226102928515e-17
relative error = 3.1435887291335511094569531028833e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.595
y[1] (analytic) = 0.6556751834835115907492377530792
y[1] (numeric) = 0.65567518348351157013968839539139
absolute error = 2.060954935768781e-17
relative error = 3.1432559713777977550007111912200e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.596
y[1] (analytic) = 0.65629448675468525979540256360182
y[1] (numeric) = 0.65629448675468523916861432695968
absolute error = 2.062678823664214e-17
relative error = 3.1429165798176478728560281360176e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.597
y[1] (analytic) = 0.65691373311993205136399327647975
y[1] (numeric) = 0.65691373311993203072001544539775
absolute error = 2.064397783108200e-17
relative error = 3.1425705979742473455472386998212e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.598
y[1] (analytic) = 0.65753292263351268546709553845568
y[1] (numeric) = 0.65753292263351266480597723314291
absolute error = 2.066111830531277e-17
relative error = 3.1422180691062674922872635869304e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.599
y[1] (analytic) = 0.65815205534961031138895764147015
y[1] (numeric) = 0.65815205534961029071074781845603
absolute error = 2.067820982301412e-17
relative error = 3.1418590362116026273136095626108e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.352
Order of pole = 6.634
x[1] = 0.6
y[1] (analytic) = 0.65877113132233065547495966178488
y[1] (numeric) = 0.65877113132233063477970711454223
absolute error = 2.069525254724265e-17
relative error = 3.1414935420290378927175961461478e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.9933
Order of pole = 0.6119
x[1] = 0.601
y[1] (analytic) = 0.65939015060570216856878782189315
y[1] (numeric) = 0.65939015060570214785654118145848
absolute error = 2.071224664043467e-17
relative error = 3.1411216290399285120534357572693e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.984
Order of pole = 1.509
x[1] = 0.602
y[1] (analytic) = 0.66000911325367617309881848584848
y[1] (numeric) = 0.66000911325367615236962622143979
absolute error = 2.072919226440869e-17
relative error = 3.1407433394698252430912895321018e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.603
y[1] (analytic) = 0.6606280193201270098147128545889
y[1] (numeric) = 0.66062801932012698906862327422069
absolute error = 2.074608958036821e-17
relative error = 3.1403587152901356954534434895702e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.286
Order of pole = 4.967
x[1] = 0.604
y[1] (analytic) = 0.66124686885885218417522009649618
y[1] (numeric) = 0.66124686885885216341228134759193
absolute error = 2.076293874890425e-17
relative error = 3.1399677982197365935336610987773e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.605
y[1] (analytic) = 0.6618656619235725123881833297571
y[1] (numeric) = 0.66186566192357249160844339975912
absolute error = 2.077973992999798e-17
relative error = 3.1395706297265917013381071119536e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.606
y[1] (analytic) = 0.66248439856793226710373956702968
y[1] (numeric) = 0.6624843985679322463072462840063
absolute error = 2.079649328302338e-17
relative error = 3.1391672510293648097431555038327e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.607
y[1] (analytic) = 0.66310307884549932276170143940932
y[1] (numeric) = 0.66310307884549930194850247265955
absolute error = 2.081319896674977e-17
relative error = 3.1387577030990036932338275439097e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.608
y[1] (analytic) = 0.66372170280976530059410523568422
y[1] (numeric) = 0.66372170280976527976424809633977
absolute error = 2.082985713934445e-17
relative error = 3.1383420266603313890349231420069e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.609
y[1] (analytic) = 0.66434027051414571328390652431172
y[1] (numeric) = 0.66434027051414569243743856593652
absolute error = 2.084646795837520e-17
relative error = 3.1379202621936071232990962392552e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.61
y[1] (analytic) = 0.66495878201198010928080136938592
y[1] (numeric) = 0.66495878201198008841776978857305
absolute error = 2.086303158081287e-17
relative error = 3.1374924499360916742988084971677e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.611
y[1] (analytic) = 0.66557723735653221677514790804788
y[1] (numeric) = 0.66557723735653219589559974501392
absolute error = 2.087954816303396e-17
relative error = 3.1370586298836021228502306467853e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.612
y[1] (analytic) = 0.66619563660099008733095982526045
y[1] (numeric) = 0.66619563660099006643494196443745
absolute error = 2.089601786082300e-17
relative error = 3.1366188417920275424131948345434e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.613
y[1] (analytic) = 0.66681397979846623917894004257968
y[1] (numeric) = 0.66681397979846621826649921320436
absolute error = 2.091244082937532e-17
relative error = 3.1361731251788943664667009934899e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.5009
Order of pole = 0.5281
x[1] = 0.614
y[1] (analytic) = 0.66743226700199780017051973044772
y[1] (numeric) = 0.6674322670019977792417025071484
absolute error = 2.092881722329932e-17
relative error = 3.1357215193248477676821555750396e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.658
Order of pole = 1.291
x[1] = 0.615
y[1] (analytic) = 0.66805049826454665039386455856212
y[1] (numeric) = 0.668050498264546629448717361943
absolute error = 2.094514719661912e-17
relative error = 3.1352640632751813231344875916321e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.269
Order of pole = 0.6801
x[1] = 0.616
y[1] (analytic) = 0.66866867363899956445280691598545
y[1] (numeric) = 0.66866867363899954349137601320852
absolute error = 2.096143090277693e-17
relative error = 3.1348007958413159529175170620051e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.617
y[1] (analytic) = 0.66928679317816835340965966180138
y[1] (numeric) = 0.66928679317816833243199116716575
absolute error = 2.097766849463563e-17
relative error = 3.1343317556023016758747398447871e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.618
y[1] (analytic) = 0.66990485693479000639286380824345
y[1] (numeric) = 0.6699048569347899853990036837623
absolute error = 2.099386012448115e-17
relative error = 3.1338569809062808357733368394640e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.6759
Order of pole = 0.5509
x[1] = 0.619
y[1] (analytic) = 0.6705228649615268318704193912728
y[1] (numeric) = 0.67052286496152681086041344724787
absolute error = 2.101000594402493e-17
relative error = 3.1333765098719548083980435348057e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.62
y[1] (analytic) = 0.67114081731096659859004564850872
y[1] (numeric) = 0.67114081731096657756393954410233
absolute error = 2.102610610440639e-17
relative error = 3.1328903803900437404846945089711e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.8136
Order of pole = 0.5736
x[1] = 0.621
y[1] (analytic) = 0.67175871403562267618701350117095
y[1] (numeric) = 0.6717587140356226551448527449756
absolute error = 2.104216075619535e-17
relative error = 3.1323986301247304369324817618594e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.622
y[1] (analytic) = 0.67237655518793417546059022522578
y[1] (numeric) = 0.67237655518793415440242017583136
absolute error = 2.105817004939442e-17
relative error = 3.1319012965150914761081798648397e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.623
y[1] (analytic) = 0.67299434082026608832003309718832
y[1] (numeric) = 0.67299434082026606724589896374693
absolute error = 2.107413413344139e-17
relative error = 3.1313984167765200962896347040772e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.624
y[1] (analytic) = 0.67361207098490942740106571197155
y[1] (numeric) = 0.67361207098490940631101255475986
absolute error = 2.109005315721169e-17
relative error = 3.1308900279021513010644027086037e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.625
memory used=64.8MB, alloc=4.3MB, time=7.92
y[1] (analytic) = 0.6742297457340813653537675937392
y[1] (numeric) = 0.6742297457340813442478403247185
absolute error = 2.110592726902070e-17
relative error = 3.1303761666642565428557433584170e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.626
y[1] (analytic) = 0.67484736511992537380280465586565
y[1] (numeric) = 0.67484736511992535268104803923953
absolute error = 2.112175661662612e-17
relative error = 3.1298568696156393008396327117508e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.627
y[1] (analytic) = 0.6754649291945113619809250127817
y[1] (numeric) = 0.67546492919451134084338366555129
absolute error = 2.113754134723041e-17
relative error = 3.1293321730910330311484393682382e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.628
y[1] (analytic) = 0.6760824380098358150366416046422
y[1] (numeric) = 0.67608243800983579388335999715916
absolute error = 2.115328160748304e-17
relative error = 3.1288021132084630204937051940702e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.078
Order of pole = 0.6283
x[1] = 0.629
y[1] (analytic) = 0.67669989161782193201702006534205
y[1] (numeric) = 0.67669989161782191084804252185918
absolute error = 2.116897754348287e-17
relative error = 3.1282667258706196652218111149567e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.63
y[1] (analytic) = 0.67731729007031976352648724538125
y[1] (numeric) = 0.67731729007031974234185794460078
absolute error = 2.118462930078047e-17
relative error = 3.1277260467662150541229576028067e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.435
Order of pole = 0.7269
x[1] = 0.631
y[1] (analytic) = 0.67793463341910634906257279339082
y[1] (numeric) = 0.6779346334191063278623357690104
absolute error = 2.120023702438042e-17
relative error = 3.1271801113713288647728262338266e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.402
Order of pole = 1.135
x[1] = 0.632
y[1] (analytic) = 0.67855192171588585402949320373105
y[1] (numeric) = 0.67855192171588583281369234498738
absolute error = 2.121580085874367e-17
relative error = 3.1266289549507554343092584262312e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.6356
Order of pole = 0.5444
x[1] = 0.633
y[1] (analytic) = 0.67916915501228970643048475241352
y[1] (numeric) = 0.67916915501228968519916380462381
absolute error = 2.123132094778971e-17
relative error = 3.1260726125593151905010578905091e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.255
Order of pole = 0.673
x[1] = 0.634
y[1] (analytic) = 0.6797863333598767332397887696331
y[1] (numeric) = 0.67978633335987671199299133473408
absolute error = 2.124679743489902e-17
relative error = 3.1255111190431998119828288752717e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.635
y[1] (analytic) = 0.68040345681013329645518973437502
y[1] (numeric) = 0.68040345681013327519295927145986
absolute error = 2.126223046291516e-17
relative error = 3.1249445090412568446020093870494e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.636
y[1] (analytic) = 0.681020525414473428832003724843
y[1] (numeric) = 0.6810205254144734075543835506958
absolute error = 2.127762017414720e-17
relative error = 3.1243728169863169477809420854502e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.106
Order of pole = 0.986
x[1] = 0.637
y[1] (analytic) = 0.68163753922423896929941181778518
y[1] (numeric) = 0.68163753922423894800644510741334
absolute error = 2.129296671037184e-17
relative error = 3.1237960771064681450416709196056e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.345
Order of pole = 2.567
x[1] = 0.638
y[1] (analytic) = 0.6822544982906996980600301001336
y[1] (numeric) = 0.68225449829069967675175988729788
absolute error = 2.130827021283572e-17
relative error = 3.1232143234263507035217797225430e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.029
Order of pole = 0.9504
x[1] = 0.639
y[1] (analytic) = 0.68287140266505347137360503767005
y[1] (numeric) = 0.68287140266505345005007421541242
absolute error = 2.132353082225763e-17
relative error = 3.1226275897684300471225651248395e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.64
y[1] (analytic) = 0.68348825239842635602572003764272
y[1] (numeric) = 0.68348825239842633468697135881204
absolute error = 2.133874867883068e-17
relative error = 3.1220359097542566234118209787816e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.074
Order of pole = 0.9697
x[1] = 0.641
y[1] (analytic) = 0.68410504754187276348239614533725
y[1] (numeric) = 0.68410504754187274212847222311262
absolute error = 2.135392392222463e-17
relative error = 3.1214393168057420447007313624475e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.642
y[1] (analytic) = 0.68472178814637558373146692850615
y[1] (numeric) = 0.6847217881463755623624102369182
absolute error = 2.136905669158795e-17
relative error = 3.1208378441463886042309194905999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.643
y[1] (analytic) = 0.68533847426284631881160472823912
y[1] (numeric) = 0.68533847426284629742745760268903
absolute error = 2.138414712555009e-17
relative error = 3.1202315248025425023281727613822e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.644
y[1] (analytic) = 0.68595510594212521602987259026492
y[1] (numeric) = 0.68595510594212519463067722804128
absolute error = 2.139919536222364e-17
relative error = 3.1196203916046239857465568378404e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.645
y[1] (analytic) = 0.68657168323498140086867333677105
y[1] (numeric) = 0.68657168323498137945447179756458
absolute error = 2.141420153920647e-17
relative error = 3.1190044771883476566781417598081e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.646
y[1] (analytic) = 0.68718820619211300958296439556415
y[1] (numeric) = 0.6871882061921129881537986019802
absolute error = 2.142916579358395e-17
relative error = 3.1183838139959475679046148583936e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.647
y[1] (analytic) = 0.68780467486414732148860417072725
y[1] (numeric) = 0.68780467486414730004451590879622
absolute error = 2.144408826193103e-17
relative error = 3.1177584342773750908978294759022e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.648
y[1] (analytic) = 0.68842108930164089094269291681635
y[1] (numeric) = 0.68842108930164086948372383650198
absolute error = 2.145896908031437e-17
relative error = 3.1171283700914973295695427610345e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.027
Order of pole = 1.493
x[1] = 0.649
y[1] (analytic) = 0.6890374495550796790167682670327
y[1] (numeric) = 0.68903744955507965754295988273814
absolute error = 2.147380838429456e-17
relative error = 3.1164936533073018840582456992936e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.671
Order of pole = 1.273
x[1] = 0.65
y[1] (analytic) = 0.68965375567487918486371276466538
y[1] (numeric) = 0.68965375567487916337510645573725
absolute error = 2.148860630892813e-17
relative error = 3.1158543156050644273377044221054e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.651
y[1] (analytic) = 0.690270007711384576779227956378
y[1] (numeric) = 0.69027000771138455527586496760828
absolute error = 2.150336298876972e-17
relative error = 3.1152103884775329318555426167387e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.652
y[1] (analytic) = 0.69088620571487082295872682556872
y[1] (numeric) = 0.6908862057148708014406482676945
absolute error = 2.151807855787422e-17
relative error = 3.1145619032311009438685845026674e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.653
y[1] (analytic) = 0.6915023497355428219504935740216
y[1] (numeric) = 0.69150234973554280041774042422292
absolute error = 2.153275314979868e-17
relative error = 3.1139088909869410537992742410134e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.654
y[1] (analytic) = 0.69211843982353553280595700034762
y[1] (numeric) = 0.69211843982353551125857010274303
absolute error = 2.154738689760459e-17
relative error = 3.1132513826821855035189201608921e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.655
y[1] (analytic) = 0.69273447602891410492792097423908
y[1] (numeric) = 0.69273447602891408336594104037924
absolute error = 2.156197993385984e-17
relative error = 3.1125894090710540343145618226611e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.656
y[1] (analytic) = 0.69335045840167400761759276629322
y[1] (numeric) = 0.69335045840167398604106037565241
absolute error = 2.157653239064081e-17
relative error = 3.1119230007259942084022173714962e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=68.6MB, alloc=4.3MB, time=8.39
x[1] = 0.657
y[1] (analytic) = 0.69396638699174115932124726405358
y[1] (numeric) = 0.69396638699174113773020286451914
absolute error = 2.159104439953444e-17
relative error = 3.1112521880388125140309330301815e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.658
y[1] (analytic) = 0.69458226184897205657736238593
y[1] (numeric) = 0.69458226184897203497184629428982
absolute error = 2.160551609164018e-17
relative error = 3.1105770012217819166713489320965e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.322
Order of pole = 1.079
x[1] = 0.659
y[1] (analytic) = 0.69519808302315390266505829574862
y[1] (numeric) = 0.69519808302315388104511069817652
absolute error = 2.161994759757210e-17
relative error = 3.1098974703087662810401619076838e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.66
y[1] (analytic) = 0.6958138505640047359546703218079
y[1] (numeric) = 0.69581385056400471432033127434692
absolute error = 2.163433904746098e-17
relative error = 3.1092136251563356928250818547226e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.661
y[1] (analytic) = 0.69642956452117355796128279543538
y[1] (numeric) = 0.69642956452117353631259222447927
absolute error = 2.164869057095611e-17
relative error = 3.1085254954448339696355229756261e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.611
Order of pole = 0.7778
x[1] = 0.662
y[1] (analytic) = 0.6970452249442404611020483451114
y[1] (numeric) = 0.69704522494424043943904604788393
absolute error = 2.166300229722747e-17
relative error = 3.1078331106794947791562238731517e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.663
y[1] (analytic) = 0.69766083188271675615811451320605
y[1] (numeric) = 0.69766083188271673448084015823834
absolute error = 2.167727435496771e-17
relative error = 3.1071365001915229315926181384439e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.664
y[1] (analytic) = 0.69827638538604509944197690322652
y[1] (numeric) = 0.69827638538604507775047003083246
absolute error = 2.169150687239406e-17
relative error = 3.1064356931391596809220272463828e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.665
y[1] (analytic) = 0.69889188550359961967107541615095
y[1] (numeric) = 0.69889188550359959796537543890063
absolute error = 2.170569997725032e-17
relative error = 3.1057307185087535983598033983827e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.666
y[1] (analytic) = 0.69950733228468604454844749489038
y[1] (numeric) = 0.6995073322846860228285936980815
absolute error = 2.171985379680888e-17
relative error = 3.1050216051158298380811009436471e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.667
y[1] (analytic) = 0.70012272577854182705124966613325
y[1] (numeric) = 0.70012272577854180531728120826066
absolute error = 2.173396845787259e-17
relative error = 3.1043083816061320975602583878850e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.076
Order of pole = 0.6233
x[1] = 0.668
y[1] (analytic) = 0.70073806603433627142795604874638
y[1] (numeric) = 0.70073806603433624967991196196952
absolute error = 2.174804408677686e-17
relative error = 3.1035910764566916711463491994898e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.669
y[1] (analytic) = 0.70135335310117065890503988749025
y[1] (numeric) = 0.70135335310117063714295907809888
absolute error = 2.176208080939137e-17
relative error = 3.1028697179768350321635780510540e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.67
y[1] (analytic) = 0.70196858702807837310394157001875
y[1] (numeric) = 0.70196858702807835132786281889654
absolute error = 2.177607875112221e-17
relative error = 3.1021443343092471372354821754989e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.666
Order of pole = 0.5471
x[1] = 0.671
y[1] (analytic) = 0.7025837678640250251691239939288
y[1] (numeric) = 0.7025837678640250033790859570151
absolute error = 2.179003803691370e-17
relative error = 3.1014149534309833645813468942391e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.022
Order of pole = 0.9336
x[1] = 0.672
y[1] (analytic) = 0.70319889565790857860801356896925
y[1] (numeric) = 0.70319889565790855680405477771893
absolute error = 2.180395879125032e-17
relative error = 3.1006816031544915521413207864134e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.25
Order of pole = 0.6655
x[1] = 0.673
y[1] (analytic) = 0.70381397045855947384362256736788
y[1] (numeric) = 0.7038139704585594520257814292093
absolute error = 2.181784113815858e-17
relative error = 3.0999443111286199217448454952032e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.313
Order of pole = 0.6826
x[1] = 0.674
y[1] (analytic) = 0.7044289923147407524806459725523
y[1] (numeric) = 0.70442899231474073064896077134328
absolute error = 2.183168520120902e-17
relative error = 3.0992031048396379498991688601287e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.592
Order of pole = 1.865
x[1] = 0.675
y[1] (analytic) = 0.70504396127514818128582342328548
y[1] (numeric) = 0.70504396127514815944033231976752
absolute error = 2.184549110351796e-17
relative error = 3.0984580116122162108901603036488e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.676
y[1] (analytic) = 0.70565887738841037588335430637135
y[1] (numeric) = 0.70565887738841035402409533862193
absolute error = 2.185925896774942e-17
relative error = 3.0977090586104249634031787631663e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.677
y[1] (analytic) = 0.70627374070308892416615151657022
y[1] (numeric) = 0.70627374070308890229316260045314
absolute error = 2.187298891611708e-17
relative error = 3.0969562728387329620101702135112e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.344
Order of pole = 2.49
x[1] = 0.678
y[1] (analytic) = 0.70688855126767850942371687715965
y[1] (numeric) = 0.7068885512676784875370358067736
absolute error = 2.188668107038605e-17
relative error = 3.0961996811429739572532152318591e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.679
y[1] (analytic) = 0.7075033091306070331874186986464
y[1] (numeric) = 0.70750330913060701128708314677172
absolute error = 2.190033555187468e-17
relative error = 3.0954393102113135915829201040699e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.68
y[1] (analytic) = 0.7081180143402357377939494464392
y[1] (numeric) = 0.70811801434023571587999696498271
absolute error = 2.191395248145649e-17
relative error = 3.0946751865752279882869201349983e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.578
Order of pole = 0.7619
x[1] = 0.681
y[1] (analytic) = 0.70873266694485932866773899079272
y[1] (numeric) = 0.70873266694485930674020701123068
absolute error = 2.192753197956204e-17
relative error = 3.0939073366104685669589840938749e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.5288
Order of pole = 0.5294
x[1] = 0.682
y[1] (analytic) = 0.7093472669927060963230964239934
y[1] (numeric) = 0.70934726699270607438202225781282
absolute error = 2.194107416618058e-17
relative error = 3.0931357865379906150911997301640e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.683
y[1] (analytic) = 0.70996181453193803808685095053905
y[1] (numeric) = 0.70996181453193801613227178967697
absolute error = 2.195457916086208e-17
relative error = 3.0923605624249303489532911324088e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.684
y[1] (analytic) = 0.71057630961065097954225988592765
y[1] (numeric) = 0.71057630961065095757421280320877
absolute error = 2.196804708271888e-17
relative error = 3.0915816901855232166954989508968e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.855
Order of pole = 1.354
x[1] = 0.685
y[1] (analytic) = 0.71119075227687469569494933858232
y[1] (numeric) = 0.71119075227687467371347128815475
absolute error = 2.198147805042757e-17
relative error = 3.0907991955820495726426794431083e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.686
y[1] (analytic) = 0.71180514257857303186165069735785
y[1] (numeric) = 0.7118051425785730098667785151271
absolute error = 2.199487218223075e-17
relative error = 3.0900131042257583885167720729688e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.687
y[1] (analytic) = 0.7124194805636440242824936039657
y[1] (numeric) = 0.71241948056364400227426400802685
absolute error = 2.200822959593885e-17
relative error = 3.0892234415777944020863623643429e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.688
y[1] (analytic) = 0.71303376627992002045761365547978
y[1] (numeric) = 0.71303376627991999843606324654795
absolute error = 2.202155040893183e-17
relative error = 3.0884302329501034401373560441458e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=72.4MB, alloc=4.3MB, time=8.87
x[1] = 0.689
y[1] (analytic) = 0.7136479997751677992088306568097
y[1] (numeric) = 0.71364799977516777717399591864863
absolute error = 2.203483473816107e-17
relative error = 3.0876335035063594879126452938140e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.112
Order of pole = 0.629
x[1] = 0.69
y[1] (analytic) = 0.71426218109708869046715082661262
y[1] (numeric) = 0.71426218109708866841906812646164
absolute error = 2.204808270015098e-17
relative error = 3.0868332782628475737861276122018e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.691
y[1] (analytic) = 0.71487631029331869478684395252638
y[1] (numeric) = 0.71487631029331867272554954152542
absolute error = 2.206129441100096e-17
relative error = 3.0860295820893908638655970661146e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.692
y[1] (analytic) = 0.71549038741142860258684409280442
y[1] (numeric) = 0.71549038741142858051237410641755
absolute error = 2.207446998638687e-17
relative error = 3.0852224397102043007049608280691e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.467
Order of pole = 0.7241
x[1] = 0.693
y[1] (analytic) = 0.71610441249892411312022003138665
y[1] (numeric) = 0.71610441249892409103261048982363
absolute error = 2.208760954156302e-17
relative error = 3.0844118757048162697488033355128e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.694
y[1] (analytic) = 0.71671838560324595317245931210748
y[1] (numeric) = 0.71671838560324593107174612074374
absolute error = 2.210071319136374e-17
relative error = 3.0835979145089267339799784683922e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.081
Order of pole = 0.6213
x[1] = 0.695
y[1] (analytic) = 0.7173323067717699954893073050935
y[1] (numeric) = 0.71733230677176997337552625488833
absolute error = 2.211378105020517e-17
relative error = 3.0827805804152914386632495685504e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.709
Order of pole = 2.801
x[1] = 0.696
y[1] (analytic) = 0.71794617605180737693490039439802
y[1] (numeric) = 0.71794617605180735480808716231105
absolute error = 2.212681323208697e-17
relative error = 3.0819598975745902460076703456357e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.697
y[1] (analytic) = 0.71855999349060461638093002052525
y[1] (numeric) = 0.71855999349060459424112016993127
absolute error = 2.213980985059398e-17
relative error = 3.0811358899962838714162280838525e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.131
Order of pole = 1.516
x[1] = 0.698
y[1] (analytic) = 0.71917375913534373232757196467748
y[1] (numeric) = 0.7191737591353437101748009457795
absolute error = 2.215277101889798e-17
relative error = 3.0803085815494799496048413344434e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.699
y[1] (analytic) = 0.71978747303314236025691292327818
y[1] (numeric) = 0.71978747303314233809121607351887
absolute error = 2.216569684975931e-17
relative error = 3.0794779959637750334320313001184e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.7
y[1] (analytic) = 0.72040113523105386971960409154928
y[1] (numeric) = 0.72040113523105384754101663602068
absolute error = 2.217858745552860e-17
relative error = 3.0786441568301073735464839099364e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.628
Order of pole = 0.7738
x[1] = 0.701
y[1] (analytic) = 0.72101474577606748115546915361512
y[1] (numeric) = 0.72101474577606745896402620546666
absolute error = 2.219144294814846e-17
relative error = 3.0778070876015996122833468467065e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.702
y[1] (analytic) = 0.72162830471510838244879176373605
y[1] (numeric) = 0.72162830471510836024452832458097
absolute error = 2.220426343915508e-17
relative error = 3.0769668115943845247402095801032e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.703
y[1] (analytic) = 0.72224181209503784521900529880562
y[1] (numeric) = 0.72224181209503782300195625912567
absolute error = 2.221704903967995e-17
relative error = 3.0761233519884429856286894116777e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.704
y[1] (analytic) = 0.7228552679626533408475053661428
y[1] (numeric) = 0.72285526796265331861770550569128
absolute error = 2.222979986045152e-17
relative error = 3.0752767318284291896496132206112e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.705
y[1] (analytic) = 0.72346867236468865624130326284068
y[1] (numeric) = 0.72346867236468863399878725104394
absolute error = 2.224251601179674e-17
relative error = 3.0744269740244749093033265081352e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.706
y[1] (analytic) = 0.72408202534781400933423630346185
y[1] (numeric) = 0.72408202534781398707903869981903
absolute error = 2.225519760364282e-17
relative error = 3.0735741013530198720545973890067e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.707
y[1] (analytic) = 0.7246953269586361643264486616632
y[1] (numeric) = 0.72469532695863614205860391614442
absolute error = 2.226784474551878e-17
relative error = 3.0727181364576087684191365383735e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.708
y[1] (analytic) = 0.72530857724369854666285410835718
y[1] (numeric) = 0.72530857724369852438239656180002
absolute error = 2.228045754655716e-17
relative error = 3.0718591018497061028497478891012e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.874
Order of pole = 2.04
x[1] = 0.709
y[1] (analytic) = 0.72592177624948135775128977423735
y[1] (numeric) = 0.72592177624948133545825365874187
absolute error = 2.229303611549548e-17
relative error = 3.0709970199094723035596333657618e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.547
Order of pole = 0.7452
x[1] = 0.71
y[1] (analytic) = 0.72653492402240168942106781788198
y[1] (numeric) = 0.72653492402240166711548725720392
absolute error = 2.230558056067806e-17
relative error = 3.0701319128865852819014738499672e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.7172
Order of pole = 0.5527
x[1] = 0.711
y[1] (analytic) = 0.72714802060881363812262964216412
y[1] (numeric) = 0.72714802060881361580453865210674
absolute error = 2.231809099005738e-17
relative error = 3.0692638029009944052350550586305e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.006
Order of pole = 0.9116
x[1] = 0.712
y[1] (analytic) = 0.7277610660550084188690050713115
y[1] (numeric) = 0.72776106605500839653843756011564
absolute error = 2.233056751119586e-17
relative error = 3.0683927119437282021992599685467e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.713
y[1] (analytic) = 0.72837406040721447891977667863648
y[1] (numeric) = 0.72837406040721445657676644736908
absolute error = 2.234301023126740e-17
relative error = 3.0675186618776648725337583721680e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.714
y[1] (analytic) = 0.72898700371159761120824724066705
y[1] (numeric) = 0.72898700371159758885282798360817
absolute error = 2.235541925705888e-17
relative error = 3.0666416744382932572503642899747e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.715
y[1] (analytic) = 0.72959989601426106751250608711912
y[1] (numeric) = 0.72959989601426104514471139214729
absolute error = 2.236779469497183e-17
relative error = 3.0657617712344931096360307754727e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.716
y[1] (analytic) = 0.73021273736124567137108791782605
y[1] (numeric) = 0.73021273736124564899095126680209
absolute error = 2.238013665102396e-17
relative error = 3.0648789737492921017848611317201e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.717
y[1] (analytic) = 0.73082552779852993074391546735202
y[1] (numeric) = 0.73082552779852990835147023650137
absolute error = 2.239244523085065e-17
relative error = 3.0639933033406133878566603695271e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.1
Order of pole = 1.478
x[1] = 0.718
y[1] (analytic) = 0.7314382673720301504192152155287
y[1] (numeric) = 0.73143826737203012801449467582206
absolute error = 2.240472053970664e-17
relative error = 3.0631047812420465929556076790010e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.719
y[1] (analytic) = 0.73205095612760054416709316753672
y[1] (numeric) = 0.73205095612760052175013048506928
absolute error = 2.241696268246744e-17
relative error = 3.0622134285635765226150562607510e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.72
y[1] (analytic) = 0.7326635941110333466404555603754
y[1] (numeric) = 0.73266359411103332421128379674449
absolute error = 2.242917176363091e-17
relative error = 3.0613192662923312615539328950307e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.4059
Order of pole = 0.5167
memory used=76.2MB, alloc=4.3MB, time=9.36
x[1] = 0.721
y[1] (analytic) = 0.73327618136805892502395719359088
y[1] (numeric) = 0.73327618136805890258260930627203
absolute error = 2.244134788731885e-17
relative error = 3.0604223152933277298336349564413e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.722
y[1] (analytic) = 0.73388871794434589043165793093535
y[1] (numeric) = 0.73388871794434586797816677365693
absolute error = 2.245349115727842e-17
relative error = 3.0595225963101901858121570485144e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.723
y[1] (analytic) = 0.73450120388550120905406577617582
y[1] (numeric) = 0.73450120388550118658846409929209
absolute error = 2.246560167688373e-17
relative error = 3.0586201299658881251391255584873e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.18
Order of pole = 0.641
x[1] = 0.724
y[1] (analytic) = 0.73511363923707031305524279052832
y[1] (numeric) = 0.73511363923707029057756324139099
absolute error = 2.247767954913733e-17
relative error = 3.0577149367634567350311336001715e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.5889
Order of pole = 0.5351
x[1] = 0.725
y[1] (analytic) = 0.73572602404453721122064799113182
y[1] (numeric) = 0.73572602404453718873092311446012
absolute error = 2.248972487667170e-17
relative error = 3.0568070370867135988769997337208e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.726
y[1] (analytic) = 0.7363383583533245993563892495645
y[1] (numeric) = 0.73633835835332457685465148781376
absolute error = 2.250173776175074e-17
relative error = 3.0558964512009716743627865869716e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.727
y[1] (analytic) = 0.73695064220879397044055409661192
y[1] (numeric) = 0.73695064220879394792683579034065
absolute error = 2.251371830627127e-17
relative error = 3.0549831992537499250847021478577e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.728
y[1] (analytic) = 0.73756287565624572452728723429155
y[1] (numeric) = 0.737562875656245702001620622527
absolute error = 2.252566661176455e-17
relative error = 3.0540673012754829764437016302430e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.729
y[1] (analytic) = 0.73817505874091927840428045849052
y[1] (numeric) = 0.73817505874091925586669767909287
absolute error = 2.253758277939765e-17
relative error = 3.0531487771802067730534589998845e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.73
y[1] (analytic) = 0.73878719150799317500433860545315
y[1] (numeric) = 0.7387871915079931524548716954781
absolute error = 2.254946690997505e-17
relative error = 3.0522276467662718138316784743309e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.224
Order of pole = 1.545
x[1] = 0.731
y[1] (analytic) = 0.7393992740025851925716830527298
y[1] (numeric) = 0.73939927400258517001036394878984
absolute error = 2.256131910393996e-17
relative error = 3.0513039297170148313493587033831e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.732
y[1] (analytic) = 0.74001130626975245358365223004175
y[1] (numeric) = 0.7400113062697524310105127686658
absolute error = 2.257313946137595e-17
relative error = 3.0503776456014688858581836211997e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.3321
Order of pole = 0.5111
x[1] = 0.733
y[1] (analytic) = 0.74062328835449153342845652779382
y[1] (numeric) = 0.7406232883544915108435284457856
absolute error = 2.258492808200822e-17
relative error = 3.0494488138750211887178138772299e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.734
y[1] (analytic) = 0.74123522030173856883964293065215
y[1] (numeric) = 0.74123522030173854624295786544699
absolute error = 2.259668506520516e-17
relative error = 3.0485174538801066500638548268151e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.8848
Order of pole = 0.5784
x[1] = 0.735
y[1] (analytic) = 0.74184710215636936608792265066448
y[1] (numeric) = 0.74184710215636934347951214068472
absolute error = 2.260841050997976e-17
relative error = 3.0475835848468776342777098431627e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.736
y[1] (analytic) = 0.74245893396319950893101298880815
y[1] (numeric) = 0.74245893396319948631090847381717
absolute error = 2.262010451499098e-17
relative error = 3.0466472258938648774167235324115e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.737
y[1] (analytic) = 0.74307071576698446632214261557598
y[1] (numeric) = 0.74307071576698444369037543703071
absolute error = 2.263176717854527e-17
relative error = 3.0457083960286551883545739125022e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.344
Order of pole = 4.521
x[1] = 0.738
y[1] (analytic) = 0.74368244761241969987786743022185
y[1] (numeric) = 0.74368244761241967723446883162396
absolute error = 2.264339859859789e-17
relative error = 3.0447671141485387751193640313659e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.739
y[1] (analytic) = 0.74429412954414077110584213455935
y[1] (numeric) = 0.74429412954414074845084326180489
absolute error = 2.265499887275446e-17
relative error = 3.0438233990411841452745419044695e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.74
y[1] (analytic) = 0.74490576160672344839319064070588
y[1] (numeric) = 0.74490576160672342572662254243374
absolute error = 2.266656809827214e-17
relative error = 3.0428772693852598759553954161798e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.741
y[1] (analytic) = 0.745517343844683813756116422866
y[1] (numeric) = 0.74551734384468379107801005080474
absolute error = 2.267810637206126e-17
relative error = 3.0419287437511135506259539863219e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.742
y[1] (analytic) = 0.7461288763024783693513919211177
y[1] (numeric) = 0.7461288763024783466617781304311
absolute error = 2.268961379068660e-17
relative error = 3.0409778406014003156489166731045e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.743
y[1] (analytic) = 0.74674035902450414375036411018038
y[1] (numeric) = 0.74674035902450412104927365981162
absolute error = 2.270109045036876e-17
relative error = 3.0400245782917202694395946706629e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.744
y[1] (analytic) = 0.74735179205509879797611135827055
y[1] (numeric) = 0.747351792055098775263574911285
absolute error = 2.271253644698555e-17
relative error = 3.0390689750712552683717671480449e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.745
y[1] (analytic) = 0.74796317543854073130438472036435
y[1] (numeric) = 0.7479631754385407085804328442909
absolute error = 2.272395187607345e-17
relative error = 3.0381110490834118387593468223156e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.746
y[1] (analytic) = 0.74857450921904918682896483645575
y[1] (numeric) = 0.74857450921904916409362800362692
absolute error = 2.273533683282883e-17
relative error = 3.0371508183664287491252373133354e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.747
y[1] (analytic) = 0.74918579344078435679206363869852
y[1] (numeric) = 0.74918579344078433404537222658907
absolute error = 2.274669141210945e-17
relative error = 3.0361883008540188544505310659046e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.659
Order of pole = 0.543
x[1] = 0.748
y[1] (analytic) = 0.7497970281478474876803981116182
y[1] (numeric) = 0.74979702814784746492238240318249
absolute error = 2.275801570843571e-17
relative error = 3.0352235143759743321509184140090e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.749
y[1] (analytic) = 0.75040821338428098508756139685285
y[1] (numeric) = 0.75040821338428096231825158086079
absolute error = 2.276930981599206e-17
relative error = 3.0342564766587901565800784675248e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.75
y[1] (analytic) = 0.75101934919406851834331458809672
y[1] (numeric) = 0.7510193491940684955627407594684
absolute error = 2.278057382862832e-17
relative error = 3.0332872053262724211817835032654e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.751
y[1] (analytic) = 0.75163043562113512491042062305438
y[1] (numeric) = 0.75163043562113510211861278319335
absolute error = 2.279180783986103e-17
relative error = 3.0323157179001475609409829977526e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.755
Order of pole = 0.804
x[1] = 0.752
y[1] (analytic) = 0.7522414727093473145496397472348
y[1] (numeric) = 0.75224147270934729174662780436005
absolute error = 2.280301194287475e-17
relative error = 3.0313420318006618362311615211053e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=80.1MB, alloc=4.3MB, time=9.83
x[1] = 0.753
y[1] (analytic) = 0.75285246050251317325350409929862
y[1] (numeric) = 0.75285246050251315043931786877521
absolute error = 2.281418623052341e-17
relative error = 3.0303661643471844172945209474527e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.754
y[1] (analytic) = 0.75346339904438246694948704938995
y[1] (numeric) = 0.75346339904438244412415625405826
absolute error = 2.282533079533169e-17
relative error = 3.0293881327588113955893214759922e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.755
y[1] (analytic) = 0.75407428837864674497318101040845
y[1] (numeric) = 0.75407428837864672213673528091227
absolute error = 2.283644572949618e-17
relative error = 3.0284079541549375645975380437429e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.489
Order of pole = 0.7179
x[1] = 0.756
y[1] (analytic) = 0.75468512854893944331209553748312
y[1] (numeric) = 0.75468512854893942046456441259631
absolute error = 2.284753112488681e-17
relative error = 3.0274256455558610815235306432104e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.757
y[1] (analytic) = 0.75529591959883598762068563296552
y[1] (numeric) = 0.75529591959883596476209855991739
absolute error = 2.285858707304813e-17
relative error = 3.0264412238833652174411502817258e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.758
y[1] (analytic) = 0.75590666157185389600721828304432
y[1] (numeric) = 0.75590666157185387313760461784369
absolute error = 2.286961366520063e-17
relative error = 3.0254547059613024619221554571141e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.982
Order of pole = 1.372
x[1] = 0.759
y[1] (analytic) = 0.7565173545114528815930833675646
y[1] (numeric) = 0.7565173545114528587124723753227
absolute error = 2.288061099224190e-17
relative error = 3.0244661085161545329451802428318e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.76
y[1] (analytic) = 0.7571279984610349548451532067909
y[1] (numeric) = 0.75712799846103493195357406204283
absolute error = 2.289157914474807e-17
relative error = 3.0234754481776265435028841609501e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.761
y[1] (analytic) = 0.7577385934639445256817931376523
y[1] (numeric) = 0.75773859346394450277927492467724
absolute error = 2.290251821297506e-17
relative error = 3.0224827414792131065746319800863e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.762
y[1] (analytic) = 0.75834913956346850535312364742825
y[1] (numeric) = 0.75834913956346848243969536056847
absolute error = 2.291342828685978e-17
relative error = 3.0214880048587549988104433250007e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.3794
Order of pole = 0.5141
x[1] = 0.763
y[1] (analytic) = 0.7589596368028364080961327348465
y[1] (numeric) = 0.75895963680283638517182327882507
absolute error = 2.292430945602143e-17
relative error = 3.0204912546590062009882461151841e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.3757
Order of pole = 0.5138
x[1] = 0.764
y[1] (analytic) = 0.7595700852252204525652353171437
y[1] (numeric) = 0.75957008522522042963007350738091
absolute error = 2.293516180976279e-17
relative error = 3.0194925071281967759792047303830e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.557
Order of pole = 1.138
x[1] = 0.765
y[1] (analytic) = 0.76018048487373566303887465675958
y[1] (numeric) = 0.76018048487373564009288921968813
absolute error = 2.294598543707145e-17
relative error = 3.0184917784205850312309493768480e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.604
Order of pole = 1.161
x[1] = 0.766
y[1] (analytic) = 0.76079083579143997040275894297045
y[1] (numeric) = 0.76079083579143994744597851634939
absolute error = 2.295678042662106e-17
relative error = 3.0174890845970095423085565845551e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.767
y[1] (analytic) = 0.76140113802133431291032433189148
y[1] (numeric) = 0.76140113802133428994277746511884
absolute error = 2.296754686677264e-17
relative error = 3.0164844416254462927178311594120e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.768
y[1] (analytic) = 0.76201139160636273672101392286368
y[1] (numeric) = 0.76201139160636271374272907728797
absolute error = 2.297828484557571e-17
relative error = 3.0154778653815394067063343367139e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.769
y[1] (analytic) = 0.7626215965894124962169603302663
y[1] (numeric) = 0.76262159658941247322796587949672
absolute error = 2.298899445076958e-17
relative error = 3.0144693716491502069746035224756e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.77
y[1] (analytic) = 0.76323175301331415409865769723072
y[1] (numeric) = 0.76323175301331413109898192744615
absolute error = 2.299967576978457e-17
relative error = 3.0134589761208943606699538961411e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.771
y[1] (analytic) = 0.76384186092084168126020719155515
y[1] (numeric) = 0.76384186092084165824987830181182
absolute error = 2.301032888974333e-17
relative error = 3.0124466943986894371344838844693e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.772
y[1] (analytic) = 0.76445192035471255644471822430225
y[1] (numeric) = 0.76445192035471253342376432684044
absolute error = 2.302095389746181e-17
relative error = 3.0114325419942539544781337063190e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 13.93
Order of pole = 19.29
x[1] = 0.773
y[1] (analytic) = 0.76506193135758786568044583808315
y[1] (numeric) = 0.76506193135758784264889495863238
absolute error = 2.303155087945077e-17
relative error = 3.0104165343296745171338646591107e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.548
Order of pole = 1.128
x[1] = 0.774
y[1] (analytic) = 0.76567189397207240149824292485985
y[1] (numeric) = 0.76567189397207237845612300294305
absolute error = 2.304211992191680e-17
relative error = 3.0093986867379061431957580215386e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.775
y[1] (analytic) = 0.7662818082407147619309041522165
y[1] (numeric) = 0.76628180824071473887824304145292
absolute error = 2.305266111076358e-17
relative error = 3.0083790144633014199595070374144e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.776
y[1] (analytic) = 0.7668916742060074492949767024264
y[1] (numeric) = 0.76689167420600742623180217083337
absolute error = 2.306317453159303e-17
relative error = 3.0073575326621226892838081820846e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.777
y[1] (analytic) = 0.76750149191038696875561116025638
y[1] (numeric) = 0.76750149191038694568195089054977
absolute error = 2.307366026970661e-17
relative error = 3.0063342564030712342252031893271e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.778
y[1] (analytic) = 0.76811126139623392667502412327502
y[1] (numeric) = 0.76811126139623390359090571316867
absolute error = 2.308411841010635e-17
relative error = 3.0053092006677786937780984024840e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.972
Order of pole = 0.8748
x[1] = 0.779
y[1] (analytic) = 0.768720982705873128745142352445
y[1] (numeric) = 0.76872098270587310565059331494877
absolute error = 2.309454903749623e-17
relative error = 3.0042823803513415697914366890936e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.78
y[1] (analytic) = 0.76933065588157367790499653095405
y[1] (numeric) = 0.7693306558815736548000442946709
absolute error = 2.310495223628315e-17
relative error = 3.0032538102627998006974373892873e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.781
y[1] (analytic) = 0.76994028096554907204343095555432
y[1] (numeric) = 0.7699402809655490489281028649761
absolute error = 2.311532809057822e-17
relative error = 3.0022235051256545255158589623085e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.782
y[1] (analytic) = 0.7705498579999573014876937471068
y[1] (numeric) = 0.77054985799995727836201706290887
absolute error = 2.312567668419793e-17
relative error = 3.0011914795783677198618394895126e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.783
y[1] (analytic) = 0.7711593870269009462784704355461
y[1] (numeric) = 0.77115938702690092314247233488085
absolute error = 2.313599810066525e-17
relative error = 3.0001577481748502888799193453629e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.784
y[1] (analytic) = 0.77176886808842727323192204906528
y[1] (numeric) = 0.77176886808842725008562962585445
absolute error = 2.314629242321083e-17
relative error = 2.9991223253849607090878750685529e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=83.9MB, alloc=4.4MB, time=10.31
x[1] = 0.785
y[1] (analytic) = 0.7723783012265283327892871179462
y[1] (numeric) = 0.77237830122652830963272738317207
absolute error = 2.315655973477413e-17
relative error = 2.9980852255949921517613590665094e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.786
y[1] (analytic) = 0.77298768648314105565460529010615
y[1] (numeric) = 0.77298768648314103248780517210158
absolute error = 2.316680011800457e-17
relative error = 2.9970464631081597954045837515387e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.787
y[1] (analytic) = 0.77359702390014734922111854807055
y[1] (numeric) = 0.77359702390014732604410489280783
absolute error = 2.317701365526272e-17
relative error = 2.9960060521450909124183226640490e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.7762
Order of pole = 0.5576
x[1] = 0.788
y[1] (analytic) = 0.77420631351937419378690431569205
y[1] (numeric) = 0.77420631351937417059970388707074
absolute error = 2.318720042862131e-17
relative error = 2.9949640068442892993103902346815e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.017
Order of pole = 0.8887
x[1] = 0.789
y[1] (analytic) = 0.774815555382593738560293047495
y[1] (numeric) = 0.77481555538259371536293252762847
absolute error = 2.319736051986653e-17
relative error = 2.9939203412626348520902115087847e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.79
y[1] (analytic) = 0.77542474953152339745562120400552
y[1] (numeric) = 0.77542474953152337424812719350653
absolute error = 2.320749401049899e-17
relative error = 2.9928750693758368485671421173387e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.791
y[1] (analytic) = 0.7760338960078259446798688328121
y[1] (numeric) = 0.77603389600782592146226785107716
absolute error = 2.321760098173494e-17
relative error = 2.9918282050789185089608265234937e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.792
y[1] (analytic) = 0.77664299485310961011072929736158
y[1] (numeric) = 0.7766429948531095868830477828542
absolute error = 2.322768151450738e-17
relative error = 2.9907797621866850229435758629319e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.793
y[1] (analytic) = 0.77725204610892817446665702361175
y[1] (numeric) = 0.7772520461089281512289213341446
absolute error = 2.323773568946715e-17
relative error = 2.9897297544341867138691806666218e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.794
y[1] (analytic) = 0.77786104981678106426943746860928
y[1] (numeric) = 0.77786104981678104102167388162526
absolute error = 2.324776358698402e-17
relative error = 2.9886781954771799387775837769307e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.795
y[1] (analytic) = 0.778470006018113446599821854818
y[1] (numeric) = 0.77847000601811342334205656767019
absolute error = 2.325776528714781e-17
relative error = 2.9876250988925895910637327629082e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.796
y[1] (analytic) = 0.77907891475431632364676755956505
y[1] (numeric) = 0.77907891475431630037902668979554
absolute error = 2.326774086976951e-17
relative error = 2.9865704781789693471129821985083e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.797
y[1] (analytic) = 0.7796877760667266270508234002782
y[1] (numeric) = 0.77968777606672660377313298589585
absolute error = 2.327769041438235e-17
relative error = 2.9855143467569532571831241967169e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.493
Order of pole = 0.7113
x[1] = 0.798
y[1] (analytic) = 0.78029658999662731204219741323458
y[1] (numeric) = 0.78029658999662728875458341299169
absolute error = 2.328761400024289e-17
relative error = 2.9844567179697076995213825862199e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.799
y[1] (analytic) = 0.7809053565852474513740430863058
y[1] (numeric) = 0.78090535658524742807653137997377
absolute error = 2.329751170633203e-17
relative error = 2.9833976050833708908375489433408e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.8
y[1] (analytic) = 0.781514075873762329051498374646
y[1] (numeric) = 0.78151407587376230574411476328975
absolute error = 2.330738361135625e-17
relative error = 2.9823370212875196883220672759546e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.801
y[1] (analytic) = 0.78212274790329353385701020240315
y[1] (numeric) = 0.7821227479032935105397804086546
absolute error = 2.331722979374855e-17
relative error = 2.9812749796955957709682607629539e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.661
Order of pole = 1.169
x[1] = 0.802
y[1] (analytic) = 0.78273137271490905267247553332128
y[1] (numeric) = 0.78273137271490902934542520165171
absolute error = 2.332705033166957e-17
relative error = 2.9802114933453527457806434344767e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.803
y[1] (analytic) = 0.7833399503496233635987284785159
y[1] (numeric) = 0.78333995034962334026188317550733
absolute error = 2.333684530300857e-17
relative error = 2.9791465751992832150654314399699e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.804
y[1] (analytic) = 0.78394848084839752887290130072888
y[1] (numeric) = 0.78394848084839750552628651534421
absolute error = 2.334661478538467e-17
relative error = 2.9780802381450769381841206028271e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.805
y[1] (analytic) = 0.78455696425213928758418557097645
y[1] (numeric) = 0.78455696425213926422782671482871
absolute error = 2.335635885614774e-17
relative error = 2.9770124949960321687775900450003e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.806
y[1] (analytic) = 0.7851654006017031481885181356774
y[1] (numeric) = 0.78516540060170312482244054329792
absolute error = 2.336607759237948e-17
relative error = 2.9759433584914891975180759682240e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.807
y[1] (analytic) = 0.78577378993789048082271496006218
y[1] (numeric) = 0.78577378993789045744694388916763
absolute error = 2.337577107089455e-17
relative error = 2.9748728412972681638904462722695e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.801
Order of pole = 3.662
x[1] = 0.808
y[1] (analytic) = 0.78638213230144960941857432689802
y[1] (numeric) = 0.78638213230144958603313495865655
absolute error = 2.338543936824147e-17
relative error = 2.9738009560060755084951314774415e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.207
Order of pole = 0.6368
x[1] = 0.809
y[1] (analytic) = 0.78699042773307590361746928829972
y[1] (numeric) = 0.78699042773307588022238672759587
absolute error = 2.339508256070385e-17
relative error = 2.9727277151379503934125391581222e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.81
y[1] (analytic) = 0.78759867627341187048594769260508
y[1] (numeric) = 0.78759867627341184708124696830389
absolute error = 2.340470072430119e-17
relative error = 2.9716531311406543793877714324744e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.811
y[1] (analytic) = 0.78820687796304724603285653796288
y[1] (numeric) = 0.78820687796304722261856260317279
absolute error = 2.341429393479009e-17
relative error = 2.9705772163901112380519796295540e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.329
Order of pole = 1.537
x[1] = 0.812
y[1] (analytic) = 0.78881503284251908652850583938148
y[1] (numeric) = 0.78881503284251906310464357171628
absolute error = 2.342386226766520e-17
relative error = 2.9694999831908116917270713075463e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.813
y[1] (analytic) = 0.78942314095231185962638563650285
y[1] (numeric) = 0.78942314095231183619297983834262
absolute error = 2.343340579816023e-17
relative error = 2.9684214437762238065666833268910e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.814
y[1] (analytic) = 0.7900312023328575352879482152746
y[1] (numeric) = 0.79003120233285751184502361402559
absolute error = 2.344292460124901e-17
relative error = 2.9673416103092077434621446785714e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.815
y[1] (analytic) = 0.7906392170245356765109660679725
y[1] (numeric) = 0.79063921702453565305854731632602
absolute error = 2.345241875164648e-17
relative error = 2.9662604948824196663271597256461e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.816
y[1] (analytic) = 0.79124718506767352986197457265675
y[1] (numeric) = 0.79124718506767350640008624884713
absolute error = 2.346188832380962e-17
relative error = 2.9651781095187061305746225572057e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=87.7MB, alloc=4.4MB, time=10.80
x[1] = 0.817
y[1] (analytic) = 0.79185510650254611581330683510622
y[1] (numeric) = 0.79185510650254609234197344316763
absolute error = 2.347133339193859e-17
relative error = 2.9640944661715231007448777539992e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.818
y[1] (analytic) = 0.79246298136937631888522660354418
y[1] (numeric) = 0.79246298136937629540447257356656
absolute error = 2.348075402997762e-17
relative error = 2.9630095767253214188026877347381e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.819
y[1] (analytic) = 0.79307080970833497759366363902862
y[1] (numeric) = 0.79307080970833495410351332741257
absolute error = 2.349015031161605e-17
relative error = 2.9619234529959493406193032469683e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.82
y[1] (analytic) = 0.79367859155954097420405440220648
y[1] (numeric) = 0.79367859155954095070453209191721
absolute error = 2.349952231028927e-17
relative error = 2.9608361067310405508735386467548e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.821
y[1] (analytic) = 0.79428632696306132429178940020612
y[1] (numeric) = 0.79428632696306130078291930102635
absolute error = 2.350887009917977e-17
relative error = 2.9597475496104141736198236900064e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.822
y[1] (analytic) = 0.79489401595891126610976702574418
y[1] (numeric) = 0.79489401595891124259157327452607
absolute error = 2.351819375121811e-17
relative error = 2.9586577932464628123945618440533e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.823
y[1] (analytic) = 0.79550165858705434976355221403208
y[1] (numeric) = 0.79550165858705432623605887494826
absolute error = 2.352749333908382e-17
relative error = 2.9575668491845299415702008234378e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.7163
Order of pole = 0.5475
x[1] = 0.824
y[1] (analytic) = 0.796109254887402526194636741764
y[1] (numeric) = 0.79610925488740250265786780655756
absolute error = 2.353676893520644e-17
relative error = 2.9564747289033030847555064653262e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.407
Order of pole = 2.298
x[1] = 0.825
y[1] (analytic) = 0.79671680489981623597229649633058
y[1] (numeric) = 0.79671680489981621242627588456408
absolute error = 2.354602061176650e-17
relative error = 2.9553814438151975935527498205578e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.826
y[1] (analytic) = 0.79732430866410449789453955241288
y[1] (numeric) = 0.79732430866410447433929111171643
absolute error = 2.355524844069645e-17
relative error = 2.9542870052667323316210419596096e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.827
y[1] (analytic) = 0.79793176622002499739863740724795
y[1] (numeric) = 0.79793176622002497383418491356636
absolute error = 2.356445249368159e-17
relative error = 2.9531914245389035739907482793013e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.952
Order of pole = 0.8517
x[1] = 0.828
y[1] (analytic) = 0.79853917760728417478173024510152
y[1] (numeric) = 0.79853917760728415120809740294043
absolute error = 2.357363284216109e-17
relative error = 2.9520947128475684023087767821042e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 8.775
Order of pole = 7.604
x[1] = 0.829
y[1] (analytic) = 0.79914654286553731323199562581452
y[1] (numeric) = 0.79914654286553728964920606848561
absolute error = 2.358278955732891e-17
relative error = 2.9509968813438137707235142255693e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.83
y[1] (analytic) = 0.79975386203438862667086852168958
y[1] (numeric) = 0.79975386203438860307894581155488
absolute error = 2.359192271013470e-17
relative error = 2.9498979411143213222593427250177e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.831
y[1] (analytic) = 0.8003611351533913474067991614312
y[1] (numeric) = 0.80036113515339132380576679014634
absolute error = 2.360103237128486e-17
relative error = 2.9487979031817504686813749340123e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.832
y[1] (analytic) = 0.8009683622620478136010336793289
y[1] (numeric) = 0.80096836226204778999091506808558
absolute error = 2.361011861124332e-17
relative error = 2.9476967785050847039997468759025e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.833
y[1] (analytic) = 0.80157554339980955654590111235895
y[1] (numeric) = 0.80157554339980953292671961212629
absolute error = 2.361918150023266e-17
relative error = 2.9465945779800186948284325223715e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.834
y[1] (analytic) = 0.8021826786060773877560888373545
y[1] (numeric) = 0.80218267860607736412786772911965
absolute error = 2.362822110823485e-17
relative error = 2.9454913124392961769969030359275e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.835
y[1] (analytic) = 0.80278976792020148587338709484138
y[1] (numeric) = 0.80278976792020146223614958984908
absolute error = 2.363723750499230e-17
relative error = 2.9443869926530848696958510327808e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.836
y[1] (analytic) = 0.80339681138148148338538180553362
y[1] (numeric) = 0.80339681138148145973915104552484
absolute error = 2.364623076000878e-17
relative error = 2.9432816293293334444446810154277e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.837
y[1] (analytic) = 0.80400380902916655315857344981322
y[1] (numeric) = 0.80400380902916652950337250726293
absolute error = 2.365520094255029e-17
relative error = 2.9421752331141205944977541393243e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.171
Order of pole = 0.6256
x[1] = 0.838
y[1] (analytic) = 0.8046107609024554947863983497628
y[1] (numeric) = 0.80461076090245547112225022811685
absolute error = 2.366414812164595e-17
relative error = 2.9410678145920049468167948578445e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.839
y[1] (analytic) = 0.80521766704049682075262726745788
y[1] (numeric) = 0.80521766704049679707955490136887
absolute error = 2.367307236608901e-17
relative error = 2.9399593842863882317109538898104e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.15
Order of pole = 1.407
x[1] = 0.84
y[1] (analytic) = 0.8058245274823888424106148122395
y[1] (numeric) = 0.80582452748238881872864106780182
absolute error = 2.368197374443768e-17
relative error = 2.9388499526598544118500412545368e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.841
y[1] (analytic) = 0.8064313422671797557788717335596
y[1] (numeric) = 0.80643134226717973208801940854356
absolute error = 2.369085232501604e-17
relative error = 2.9377395301145171386481974163968e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.6037
Order of pole = 0.5333
x[1] = 0.842
y[1] (analytic) = 0.80703811143386772715343076470078
y[1] (numeric) = 0.80703811143386770345372258878581
absolute error = 2.369970817591497e-17
relative error = 2.9366281269923680581262968696494e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.688
Order of pole = 0.7597
x[1] = 0.843
y[1] (analytic) = 0.80764483502140097853747527620145
y[1] (numeric) = 0.80764483502140095482893391120841
absolute error = 2.370854136499304e-17
relative error = 2.9355157535756185333139753515360e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.7134
Order of pole = 0.5464
x[1] = 0.844
y[1] (analytic) = 0.80825151306867787288869859614802
y[1] (numeric) = 0.8082515130686778491713466362707
absolute error = 2.371735195987732e-17
relative error = 2.9344024200870298693631686681507e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 9.888
Order of pole = 9.398
x[1] = 0.845
y[1] (analytic) = 0.80885814561454699918486045760955
y[1] (numeric) = 0.80885814561454697545872042964511
absolute error = 2.372614002796444e-17
relative error = 2.9332881366902729005126628344080e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.3084
Order of pole = 0.5086
x[1] = 0.846
y[1] (analytic) = 0.80946473269780725730800564136728
y[1] (numeric) = 0.80946473269780723357310000494601
absolute error = 2.373490563642127e-17
relative error = 2.9321729134902389561853724578212e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.847
y[1] (analytic) = 0.81007127435720794274780849471698
y[1] (numeric) = 0.81007127435720791900415964253102
absolute error = 2.374364885218596e-17
relative error = 2.9310567605333938115830662454331e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.755
Order of pole = 1.189
x[1] = 0.848
y[1] (analytic) = 0.81067777063144883112450562447278
y[1] (numeric) = 0.81067777063144880737213588250404
absolute error = 2.375236974196874e-17
relative error = 2.9299396878081003860119120923027e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=91.5MB, alloc=4.4MB, time=11.28
x[1] = 0.849
y[1] (analytic) = 0.81128422155918026253187768436428
y[1] (numeric) = 0.81128422155918023877080931211146
absolute error = 2.376106837225282e-17
relative error = 2.9288217052449522618683667379369e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.1937
Order of pole = 0.5034
x[1] = 0.85
y[1] (analytic) = 0.81189062717900322570073980377195
y[1] (numeric) = 0.81189062717900320193099499447674
absolute error = 2.376974480929521e-17
relative error = 2.9277028227170957977329607576298e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.851
y[1] (analytic) = 0.81249698752946944198339883617405
y[1] (numeric) = 0.81249698752946941820499971704637
absolute error = 2.377839911912768e-17
relative error = 2.9265830500405679726870754325668e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.852
y[1] (analytic) = 0.81310330264908144915953424176168
y[1] (numeric) = 0.81310330264908142537250287420415
absolute error = 2.378703136755753e-17
relative error = 2.9254623969746092949822948293726e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.853
y[1] (analytic) = 0.81370957257629268506395805940085
y[1] (numeric) = 0.8137095725762926612683164392324
absolute error = 2.379564162016845e-17
relative error = 2.9243408732219863159341349590013e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.854
y[1] (analytic) = 0.81431579734950757103670806846292
y[1] (numeric) = 0.81431579734950754723247812614143
absolute error = 2.380422994232149e-17
relative error = 2.9232184884293261555129439614869e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.855
y[1] (analytic) = 0.81492197700708159519592689098932
y[1] (numeric) = 0.81492197700708157138313049183357
absolute error = 2.381279639915575e-17
relative error = 2.9220952521874151202331224208547e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.769
Order of pole = 0.7821
x[1] = 0.856
y[1] (analytic) = 0.8155281115873213955339784391879
y[1] (numeric) = 0.81552811158732137171263738359858
absolute error = 2.382134105558932e-17
relative error = 2.9209711740315265892205160310130e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.857
y[1] (analytic) = 0.81613420112848484283725177235545
y[1] (numeric) = 0.81613420112848481900738779603527
absolute error = 2.382986397632018e-17
relative error = 2.9198462634417424833942853985902e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.858
y[1] (analytic) = 0.81674024566878112343010109096945
y[1] (numeric) = 0.81674024566878109959173586514263
absolute error = 2.383836522582682e-17
relative error = 2.9187205298432389664757351903511e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.859
y[1] (analytic) = 0.81734624524637082174336926387418
y[1] (numeric) = 0.81734624524637079789652439550479
absolute error = 2.384684486836939e-17
relative error = 2.9175939826066356651478759286349e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.86
y[1] (analytic) = 0.81795219989936600270794095718138
y[1] (numeric) = 0.81795219989936597885263798919115
absolute error = 2.385530296799023e-17
relative error = 2.9164666310482674843973668749304e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.865
Order of pole = 6.054
x[1] = 0.861
y[1] (analytic) = 0.818558109665830293973770110703
y[1] (numeric) = 0.8185581096658302701100305221881
absolute error = 2.386373958851490e-17
relative error = 2.9153384844305162455834689572922e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.862
y[1] (analytic) = 0.81916397458377896795482518940822
y[1] (numeric) = 0.81916397458377894408267039585526
absolute error = 2.387215479355296e-17
relative error = 2.9142095519621102811724307464352e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.863
y[1] (analytic) = 0.81976979469117902370039432353845
y[1] (numeric) = 0.81976979469117899981984567703971
absolute error = 2.388054864649874e-17
relative error = 2.9130798427984214288984754967946e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.864
y[1] (analytic) = 0.8203755700259492685931911416017
y[1] (numeric) = 0.82037557002594924470426993106955
absolute error = 2.388892121053215e-17
relative error = 2.9119493660417655340112206879053e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.865
y[1] (analytic) = 0.82098130062596039987470079548555
y[1] (numeric) = 0.82098130062596037597742824686594
absolute error = 2.389727254861961e-17
relative error = 2.9108181307417161863715851208311e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.866
y[1] (analytic) = 0.82158698652903508599820437635928
y[1] (numeric) = 0.82158698652903506209260165284448
absolute error = 2.390560272351480e-17
relative error = 2.9096861458953951098471340711922e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.867
y[1] (analytic) = 0.8221926277729480478099186238638
y[1] (numeric) = 0.82219262777294802389600682610445
absolute error = 2.391391179775935e-17
relative error = 2.9085534204477539199753090929811e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.868
y[1] (analytic) = 0.8227982243954261395586865392964
y[1] (numeric) = 0.82279822439542611563648670561253
absolute error = 2.392219983368387e-17
relative error = 2.9074199632918959093908149624140e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.869
y[1] (analytic) = 0.82340377643414842973465322606718
y[1] (numeric) = 0.82340377643414840580418633265863
absolute error = 2.393046689340855e-17
relative error = 2.9062857832693441411100202808940e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.87
y[1] (analytic) = 0.82400928392674628173735999762335
y[1] (numeric) = 0.82400928392674625779864695877925
absolute error = 2.393871303884410e-17
relative error = 2.9051508891703495718693175281449e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.871
y[1] (analytic) = 0.8246147469108034343736885142843
y[1] (numeric) = 0.82461474691080341042675018259188
absolute error = 2.394693833169242e-17
relative error = 2.9040152897341650262417456064952e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.9584
Order of pole = 0.5817
x[1] = 0.872
y[1] (analytic) = 0.8252201654238560821860854359929
y[1] (numeric) = 0.82522016542385605823094260254534
absolute error = 2.395514283344756e-17
relative error = 2.9028789936493530580308817681648e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.873
y[1] (analytic) = 0.8258255395033929556114968078467
y[1] (numeric) = 0.82582553950339293164817020245041
absolute error = 2.396332660539629e-17
relative error = 2.9017420095540451836141931023278e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.874
y[1] (analytic) = 0.82643086918685540097144012941392
y[1] (numeric) = 0.82643086918685537699995042079484
absolute error = 2.397148970861908e-17
relative error = 2.9006043460362495388127796526358e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.875
y[1] (analytic) = 0.82703615451163746029364079724288
y[1] (numeric) = 0.82703615451163743631400859325209
absolute error = 2.397963220399079e-17
relative error = 2.8994660116341220720077321099957e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.381
Order of pole = 0.6691
x[1] = 0.876
y[1] (analytic) = 0.82764139551508595096565835262808
y[1] (numeric) = 0.82764139551508592697790420044667
absolute error = 2.398775415218141e-17
relative error = 2.8983270148362425411957750442310e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.877
y[1] (analytic) = 0.8282465922345005452209267135822
y[1] (numeric) = 0.82824659223450052122507109992524
absolute error = 2.399585561365696e-17
relative error = 2.8971873640819085718805021443123e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.878
y[1] (analytic) = 0.82885174470713384945763132106565
y[1] (numeric) = 0.82885174470713382545369467238553
absolute error = 2.400393664868012e-17
relative error = 2.8960470677613958048972851354495e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.081
Order of pole = 0.8829
x[1] = 0.879
y[1] (analytic) = 0.82945685297019148339084488482962
y[1] (numeric) = 0.82945685297019145937884756751853
absolute error = 2.401199731731109e-17
relative error = 2.8949061342162445881723638659989e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.88
y[1] (analytic) = 0.83006191706083215903834217371598
y[1] (numeric) = 0.83006191706083213501830449430758
absolute error = 2.402003767940840e-17
relative error = 2.8937645717395393449334939336573e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.8471
Order of pole = 0.5633
memory used=95.3MB, alloc=4.4MB, time=11.77
x[1] = 0.881
y[1] (analytic) = 0.83066693701616775954051305891475
y[1] (numeric) = 0.83066693701616773551245526428527
absolute error = 2.402805779462948e-17
relative error = 2.8926223885761577829358051749265e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.8587
Order of pole = 0.565
x[1] = 0.882
y[1] (analytic) = 0.83127191287326341781479178649065
y[1] (numeric) = 0.83127191287326339377873406405904
absolute error = 2.403605772243161e-17
relative error = 2.8914795929230646832468479862180e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.883
y[1] (analytic) = 0.831876844669137595045019227437
y[1] (numeric) = 0.83187684466913757100098170536436
absolute error = 2.404403752207264e-17
relative error = 2.8903361929295767138717547123754e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.884
y[1] (analytic) = 0.83248173244076215900615362958548
y[1] (numeric) = 0.83248173244076213495415637697387
absolute error = 2.405199725261161e-17
relative error = 2.8891921966976140319675242441735e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.885
y[1] (analytic) = 0.83308657622506246222474417587635
y[1] (numeric) = 0.83308657622506243816480720296666
absolute error = 2.405993697290969e-17
relative error = 2.8880476122819891570999485190742e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.364
Order of pole = 1.495
x[1] = 0.886
y[1] (analytic) = 0.83369137605891741997558043775938
y[1] (numeric) = 0.83369137605891739590772369612857
absolute error = 2.406785674163081e-17
relative error = 2.8869024476906573591099236755224e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.104
Order of pole = 0.6071
x[1] = 0.887
y[1] (analytic) = 0.83429613197915958811492960083895
y[1] (numeric) = 0.83429613197915956403917298359656
absolute error = 2.407575661724239e-17
relative error = 2.8857567108849778994959417564890e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.486
Order of pole = 4.192
x[1] = 0.888
y[1] (analytic) = 0.83490084402257524075077213227812
y[1] (numeric) = 0.83490084402257521666713547426196
absolute error = 2.408363665801616e-17
relative error = 2.8846104097799848739008262233032e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.186
Order of pole = 5.028
x[1] = 0.889
y[1] (analytic) = 0.83550551222590444775044535592338
y[1] (numeric) = 0.8355055122259044236589484338945
absolute error = 2.409149692202888e-17
relative error = 2.8834635522446448667135017786901e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.89
y[1] (analytic) = 0.83611013662584115208610320158785
y[1] (numeric) = 0.83611013662584112798676573442488
absolute error = 2.409933746716297e-17
relative error = 2.8823161461021026809404486161739e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.3142
Order of pole = 0.5086
x[1] = 0.891
y[1] (analytic) = 0.83671471725903324701839919942188
y[1] (numeric) = 0.83671471725903322291124084831452
absolute error = 2.410715835110736e-17
relative error = 2.8811681991299522536941521305963e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.892
y[1] (analytic) = 0.83731925416208265311879859878878
y[1] (numeric) = 0.83731925416208262900383896743055
absolute error = 2.411495963135823e-17
relative error = 2.8800197190604932188746949374316e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.39
Order of pole = 0.6688
x[1] = 0.893
y[1] (analytic) = 0.8379237473715453951309243035378
y[1] (numeric) = 0.83792374737154537100818293831822
absolute error = 2.412274136521958e-17
relative error = 2.8788707135809660293488662387713e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.256
Order of pole = 1.425
x[1] = 0.894
y[1] (analytic) = 0.83852819692393167867134013200982
y[1] (numeric) = 0.83852819692393165454083652220568
absolute error = 2.413050360980414e-17
relative error = 2.8777211903338265680296581404798e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.895
y[1] (analytic) = 0.83913260285570596677017373050772
y[1] (numeric) = 0.83913260285570594263192730847375
absolute error = 2.413824642203397e-17
relative error = 2.8765711569169825881549484757166e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.896
y[1] (analytic) = 0.83973696520328705625198029330072
y[1] (numeric) = 0.83973696520328703210601043465954
absolute error = 2.414596985864118e-17
relative error = 2.8754206208840433819585891066401e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.897
y[1] (analytic) = 0.84034128400304815395724707049322
y[1] (numeric) = 0.84034128400304812980357309432452
absolute error = 2.415367397616870e-17
relative error = 2.8742695897445742815318176871568e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.898
y[1] (analytic) = 0.8409455592913169528049374772594
y[1] (numeric) = 0.84094555929131692864357864628843
absolute error = 2.416135883097097e-17
relative error = 2.8731180709643405091314219191676e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.899
y[1] (analytic) = 0.84154979110437570769647245401162
y[1] (numeric) = 0.84154979110437568352744797479703
absolute error = 2.416902447921459e-17
relative error = 2.8719660719655451839549421072868e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.9
y[1] (analytic) = 0.84215397947846131126154556701772
y[1] (numeric) = 0.84215397947846128708487459013856
absolute error = 2.417667097687916e-17
relative error = 2.8708136001270888259921345605314e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.901
y[1] (analytic) = 0.84275812444976536944616718279445
y[1] (numeric) = 0.84275812444976534526186880303667
absolute error = 2.418429837975778e-17
relative error = 2.8696606627847873606703637444269e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.902
y[1] (analytic) = 0.84336222605443427694333189727025
y[1] (numeric) = 0.84336222605443425275142515381232
absolute error = 2.419190674345793e-17
relative error = 2.8685072672316342053023762828647e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.884
Order of pole = 0.8075
x[1] = 0.903
y[1] (analytic) = 0.84396628432856929246670225221062
y[1] (numeric) = 0.84396628432856926826720612880856
absolute error = 2.419949612340206e-17
relative error = 2.8673534207180268297337568684017e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.904
y[1] (analytic) = 0.84457029930822661386770062672515
y[1] (numeric) = 0.84457029930822658966063405189678
absolute error = 2.420706657482837e-17
relative error = 2.8661991304520148030332612210685e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.905
y[1] (analytic) = 0.845174271029417453096400050807
y[1] (numeric) = 0.84517427102941742888178189801564
absolute error = 2.421461815279136e-17
relative error = 2.8650444035995195251725873674571e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.906
y[1] (analytic) = 0.84577819952810811100660355078378
y[1] (numeric) = 0.84577819952810808678445263862109
absolute error = 2.422215091216269e-17
relative error = 2.8638892472845896320914883878467e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.907
y[1] (analytic) = 0.8463820848402200520055005032646
y[1] (numeric) = 0.84638208484022002777583559563287
absolute error = 2.422966490763173e-17
relative error = 2.8627336685896186433215348884422e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.908
y[1] (analytic) = 0.84698592700162997854828734464215
y[1] (numeric) = 0.84698592700162995431112715093591
absolute error = 2.423716019370624e-17
relative error = 2.8615776745555769898597340272690e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.625
Order of pole = 1.633
x[1] = 0.909
y[1] (analytic) = 0.84758972604816990547813885743282
y[1] (numeric) = 0.84758972604816988123350203271961
absolute error = 2.424463682471321e-17
relative error = 2.8604212721822618903374045182794e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.91
y[1] (analytic) = 0.84819348201562723421191513270008
y[1] (numeric) = 0.84819348201562720995982027790076
absolute error = 2.425209485479932e-17
relative error = 2.8592644684285013221524152060364e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.911
y[1] (analytic) = 0.84879719493974482677198818949365
y[1] (numeric) = 0.84879719493974480251245385156194
absolute error = 2.425953433793171e-17
relative error = 2.8581072702123936079582446510018e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.912
y[1] (analytic) = 0.84940086485622107966457111763255
y[1] (numeric) = 0.84940086485622105539761578973381
absolute error = 2.426695532789874e-17
relative error = 2.8569496844115447670015454737656e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=99.1MB, alloc=4.4MB, time=12.25
x[1] = 0.913
y[1] (analytic) = 0.8500044918007099976049314992523
y[1] (numeric) = 0.85000449180070997333057362094183
absolute error = 2.427435787831047e-17
relative error = 2.8557917178632718782064839261558e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.914
y[1] (analytic) = 0.85060807580882126708986975731235
y[1] (numeric) = 0.85060807580882124280812771471287
absolute error = 2.428174204259948e-17
relative error = 2.8546333773648455131850603721660e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.996
Order of pole = 3.584
x[1] = 0.915
y[1] (analytic) = 0.8512116169161203298178419757018
y[1] (numeric) = 0.85121161691612030552873410168034
absolute error = 2.428910787402146e-17
relative error = 2.8534746696737040821722862063606e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.916
y[1] (analytic) = 0.85181511515812845595710563568058
y[1] (numeric) = 0.85181511515812843166065021002473
absolute error = 2.429645542565585e-17
relative error = 2.8523156015076731034893982182478e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.917
y[1] (analytic) = 0.85241857057032281726226561713242
y[1] (numeric) = 0.8524185705703227929584808667259
absolute error = 2.430378475040652e-17
relative error = 2.8511561795451881992986969446377e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.9512
Order of pole = 0.5774
x[1] = 0.918
y[1] (analytic) = 0.85302198318813656003959672047338
y[1] (numeric) = 0.85302198318813653572850081947083
absolute error = 2.431109590100255e-17
relative error = 2.8499964104255288333141847739529e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.919
y[1] (analytic) = 0.85362535304695887796151787604055
y[1] (numeric) = 0.85362535304695885364312894604197
absolute error = 2.431838892999858e-17
relative error = 2.8488363007490006494931104061809e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.92
y[1] (analytic) = 0.85422868018213508473059212236948
y[1] (numeric) = 0.8542286801821350604049282325937
absolute error = 2.432566388977578e-17
relative error = 2.8476758570771895840420442596053e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.921
y[1] (analytic) = 0.85483196462896668659342535293635
y[1] (numeric) = 0.85483196462896666226050452039409
absolute error = 2.433292083254226e-17
relative error = 2.8465150859331493575998611248688e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.922
y[1] (analytic) = 0.85543520642271145470483575268685
y[1] (numeric) = 0.855435206422711430364675942353
absolute error = 2.434015981033385e-17
relative error = 2.8453539938016313933774408885524e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.923
y[1] (analytic) = 0.856038405598583497342664770977
y[1] (numeric) = 0.85603840559858347299528389596229
absolute error = 2.434738087501471e-17
relative error = 2.8441925871292938709684006316188e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.924
y[1] (analytic) = 0.85664156219175333197359940640378
y[1] (numeric) = 0.85664156219175330761901532812588
absolute error = 2.435458407827790e-17
relative error = 2.8430308723249051945110860089347e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.912
Order of pole = 0.8111
x[1] = 0.925
y[1] (analytic) = 0.85724467623734795717037451139035
y[1] (numeric) = 0.85724467623734793280860503974425
absolute error = 2.436176947164610e-17
relative error = 2.8418688557595640670264807427572e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.926
y[1] (analytic) = 0.857847747770450924380722760298
y[1] (numeric) = 0.85784774777045090001178565382581
absolute error = 2.436893710647219e-17
relative error = 2.8407065437669022839555491170034e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.927
y[1] (analytic) = 0.85845077682610240954843886425355
y[1] (numeric) = 0.85845077682610238517235183031361
absolute error = 2.437608703393994e-17
relative error = 2.8395439426432994533907861933649e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.427
Order of pole = 0.6729
x[1] = 0.928
y[1] (analytic) = 0.85905376343929928458692355879202
y[1] (numeric) = 0.85905376343929926020370425372752
absolute error = 2.438321930506450e-17
relative error = 2.8383810586480734984578917350002e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.929
y[1] (analytic) = 0.85965670764499518870557183680852
y[1] (numeric) = 0.8596567076449951643152378661153
absolute error = 2.439033397069322e-17
relative error = 2.8372178980037087135507825798718e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.93
y[1] (analytic) = 0.86025960947810059958936884917552
y[1] (numeric) = 0.86025960947810057519193776766939
absolute error = 2.439743108150613e-17
relative error = 2.8360544668960433069790841090736e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.621
Order of pole = 1.61
x[1] = 0.931
y[1] (analytic) = 0.86086246897348290443205584870218
y[1] (numeric) = 0.86086246897348288002754516068561
absolute error = 2.440451068801657e-17
relative error = 2.8348907714744735485870874205691e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.932
y[1] (analytic) = 0.86146528616596647082322750987505
y[1] (numeric) = 0.86146528616596644641165466930322
absolute error = 2.441157284057183e-17
relative error = 2.8337268178521581898820035000425e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.933
y[1] (analytic) = 0.86206806109033271748972091701412
y[1] (numeric) = 0.86206806109033269307110332766031
absolute error = 2.441861758935381e-17
relative error = 2.8325626121062243156096494161369e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.344
Order of pole = 5.056
x[1] = 0.934
y[1] (analytic) = 0.8626707937813201848916554770905
y[1] (numeric) = 0.86267079378132016046601049271089
absolute error = 2.442564498437961e-17
relative error = 2.8313981602779641873301810654600e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.935
y[1] (analytic) = 0.86327348427362460567348198047045
y[1] (numeric) = 0.86327348427362458124082690496844
absolute error = 2.443265507550201e-17
relative error = 2.8302334683730184897611677154302e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.936
y[1] (analytic) = 0.86387613260189897497039800326228
y[1] (numeric) = 0.86387613260189895053075009085196
absolute error = 2.443964791241032e-17
relative error = 2.8290685423616016100692014365119e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.937
y[1] (analytic) = 0.86447873880075362057048581873328
y[1] (numeric) = 0.86447873880075359612386227410257
absolute error = 2.444662354463071e-17
relative error = 2.8279033881786657930416206254318e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.938
y[1] (analytic) = 0.86508130290475627293292796242562
y[1] (numeric) = 0.86508130290475624847934594089857
absolute error = 2.445358202152705e-17
relative error = 2.8267380117241235344081529633530e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.939
y[1] (analytic) = 0.865683824948432135062654576114
y[1] (numeric) = 0.86568382494843211060213118381261
absolute error = 2.446052339230139e-17
relative error = 2.8255724188630274302128921143112e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.94
y[1] (analytic) = 0.86628630496626395224177563960785
y[1] (numeric) = 0.86628630496626392777432793361332
absolute error = 2.446744770599453e-17
relative error = 2.8244066154257596355129361666902e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.941
y[1] (analytic) = 0.8668887429926920816181501865905
y[1] (numeric) = 0.86688874299269205714379517510379
absolute error = 2.447435501148671e-17
relative error = 2.8232406072082343465495916407372e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.942
y[1] (analytic) = 0.8674911390621145616514435911956
y[1] (numeric) = 0.86749113906211453717019823369748
absolute error = 2.448124535749812e-17
relative error = 2.8220743999720786608495532309811e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.943
y[1] (analytic) = 0.86809349320888718141702300583672
y[1] (numeric) = 0.86809349320888715692890421324722
absolute error = 2.448811879258950e-17
relative error = 2.8209079994448230231801055793960e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.944
y[1] (analytic) = 0.86869580546732354976804002791472
y[1] (numeric) = 0.86869580546732352527306466275192
absolute error = 2.449497536516280e-17
relative error = 2.8197414113200977576194797770662e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=103.0MB, alloc=4.4MB, time=12.74
x[1] = 0.945
y[1] (analytic) = 0.86929807587169516435604867341862
y[1] (numeric) = 0.86929807587169513985423354995695
absolute error = 2.450181512346167e-17
relative error = 2.8185746412578091983454387410398e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.946
y[1] (analytic) = 0.86990030445623148051050573909745
y[1] (numeric) = 0.86990030445623145600186762352533
absolute error = 2.450863811557212e-17
relative error = 2.8174076948843346031998039140255e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.947
y[1] (analytic) = 0.8705024912551199799774996417992
y[1] (numeric) = 0.87050249125511995546205525237622
absolute error = 2.451544438942298e-17
relative error = 2.8162405777926932551209736565675e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.948
y[1] (analytic) = 0.871104636302506239518052833739
y[1] (numeric) = 0.87110463630250621499581884095237
absolute error = 2.452223399278663e-17
relative error = 2.8150732955427478213968214891752e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.133
Order of pole = 1.319
x[1] = 0.949
y[1] (analytic) = 0.87170673963249399936634190585722
y[1] (numeric) = 0.87170673963249397483733493257773
absolute error = 2.452900697327949e-17
relative error = 2.8139058536613773187514098528518e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.95
y[1] (analytic) = 0.8723088012791452315481785080505
y[1] (numeric) = 0.87230880127914520701241512968791
absolute error = 2.453576337836259e-17
relative error = 2.8127382576426585059594279093932e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.951
y[1] (analytic) = 0.87291082127648020806009323489032
y[1] (numeric) = 0.87291082127648018351758997954816
absolute error = 2.454250325534216e-17
relative error = 2.8115705129480487899742743710454e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.952
y[1] (analytic) = 0.87351279965847756890936364847438
y[1] (numeric) = 0.87351279965847754436013699710414
absolute error = 2.454922665137024e-17
relative error = 2.8104026250065706385020918247369e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.953
y[1] (analytic) = 0.87411473645907439001532663627335
y[1] (numeric) = 0.87411473645907436545939302282824
absolute error = 2.455593361344511e-17
relative error = 2.8092345992149746117029594778028e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.954
y[1] (analytic) = 0.87471663171216625097231433122855
y[1] (numeric) = 0.87471663171216622640969014281656
absolute error = 2.456262418841199e-17
relative error = 2.8080664409379325614720852853861e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.955
y[1] (analytic) = 0.8753184854516073026745518539116
y[1] (numeric) = 0.87531848545160727810525343094802
absolute error = 2.456929842296358e-17
relative error = 2.8068981555082117283388133954249e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.956
y[1] (analytic) = 0.87592029771121033480335417226552
y[1] (numeric) = 0.875920297711210310227397808625
absolute error = 2.457595636364052e-17
relative error = 2.8057297482268389613488534734198e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.957
y[1] (analytic) = 0.8765220685247468431769584132953
y[1] (numeric) = 0.87652206852474681859436035646317
absolute error = 2.458259805683213e-17
relative error = 2.8045612243632961800328054492303e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.264
Order of pole = 0.6324
x[1] = 0.958
y[1] (analytic) = 0.87712379792594709696332700305248
y[1] (numeric) = 0.87712379792594707237410345427577
absolute error = 2.458922354877671e-17
relative error = 2.8033925891556648421691462398589e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.55
Order of pole = 0.6988
x[1] = 0.959
y[1] (analytic) = 0.87772548594850020575625605635428
y[1] (numeric) = 0.87772548594850018116042317079191
absolute error = 2.459583288556237e-17
relative error = 2.8022238478108301751957675256966e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.96
y[1] (analytic) = 0.8783271326260541865151224858769
y[1] (numeric) = 0.87832713262605416191269637274957
absolute error = 2.460242611312733e-17
relative error = 2.8010550055046242009346132314793e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.961
y[1] (analytic) = 0.87892873799221603036860235155965
y[1] (numeric) = 0.87892873799221600575959907429899
absolute error = 2.460900327726066e-17
relative error = 2.7998860673820182087616243351692e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.962
y[1] (analytic) = 0.87953030208055176928269202563385
y[1] (numeric) = 0.87953030208055174466712760203116
absolute error = 2.461556442360269e-17
relative error = 2.7987170385572768939376407631317e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.963
y[1] (analytic) = 0.88013182492458654259336280604235
y[1] (numeric) = 0.88013182492458651797125320839665
absolute error = 2.462210959764570e-17
relative error = 2.7975479241141436525354690739153e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.964
y[1] (analytic) = 0.88073330655780466340417867152608
y[1] (numeric) = 0.88073330655780463877553982679183
absolute error = 2.462863884473425e-17
relative error = 2.7963787291059842174975401037708e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.965
y[1] (analytic) = 0.88133474701364968484920593521658
y[1] (numeric) = 0.88133474701364966021405372515068
absolute error = 2.463515221006590e-17
relative error = 2.7952094585559739332542069819467e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.966
y[1] (analytic) = 0.88193614632552446622154262017205
y[1] (numeric) = 0.88193614632552444157989288148035
absolute error = 2.464164973869170e-17
relative error = 2.7940401174572581609135564230034e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.967
y[1] (analytic) = 0.88253750452679123896779444992245
y[1] (numeric) = 0.88253750452679121431966297440579
absolute error = 2.464813147551666e-17
relative error = 2.7928707107731097374361201210425e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.024
Order of pole = 1.251
x[1] = 0.968
y[1] (analytic) = 0.8831388216507716725488234197329
y[1] (numeric) = 0.88313882165077164789422595443252
absolute error = 2.465459746530038e-17
relative error = 2.7917012434371038848849402518791e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 8.113
Order of pole = 5.903
x[1] = 0.969
y[1] (analytic) = 0.88374009773074694016709398994325
y[1] (numeric) = 0.88374009773074691550604623728573
absolute error = 2.466104775265752e-17
relative error = 2.7905317203532742771007571740981e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.97
y[1] (analytic) = 0.88434133279995778436094102138565
y[1] (numeric) = 0.88434133279995775969345863932735
absolute error = 2.466748238205830e-17
relative error = 2.7893621463962718386078550629034e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.625
Order of pole = 0.7164
x[1] = 0.971
y[1] (analytic) = 0.88494252689160458246608265450905
y[1] (numeric) = 0.88494252689160455779218125667995
absolute error = 2.467390139782910e-17
relative error = 2.7881925264115341730721526424272e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.972
y[1] (analytic) = 0.8855436800388474119447004184389
y[1] (numeric) = 0.88554368003884738726439557428594
absolute error = 2.468030484415296e-17
relative error = 2.7870228652154429860034418808204e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.855
Order of pole = 1.716
x[1] = 0.973
y[1] (analytic) = 0.88614479227480611558240794376245
y[1] (numeric) = 0.88614479227480609089571517869242
absolute error = 2.468669276507003e-17
relative error = 2.7858531675954752013372331069100e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.974
y[1] (analytic) = 0.88674586363256036655342874334275
y[1] (numeric) = 0.88674586363256034186036353886453
absolute error = 2.469306520447822e-17
relative error = 2.7846834383103759949846264838378e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.975
y[1] (analytic) = 0.8873468941451497333543026189169
y[1] (numeric) = 0.8873468941451497086548804127833
absolute error = 2.469942220613360e-17
relative error = 2.7835136820903029286498403640795e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.976
y[1] (analytic) = 0.8879478838455737446064393476178
y[1] (numeric) = 0.88794788384557371990067553396681
absolute error = 2.470576381365099e-17
relative error = 2.7823439036369908735046464302758e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=106.8MB, alloc=4.4MB, time=13.22
x[1] = 0.977
y[1] (analytic) = 0.88854883276679195372783740185948
y[1] (numeric) = 0.88854883276679192901574733135512
absolute error = 2.471209007050436e-17
relative error = 2.7811741076238948591154064281077e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.978
y[1] (analytic) = 0.88914974094172400347428455823718
y[1] (numeric) = 0.88914974094172397875588353820961
absolute error = 2.471840102002757e-17
relative error = 2.7800042986963705597618834417980e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.359
Order of pole = 0.9533
x[1] = 0.979
y[1] (analytic) = 0.88975060840324969035035635620008
y[1] (numeric) = 0.88975060840324966562565965078548
absolute error = 2.472469670541460e-17
relative error = 2.7788344814717967080182145942822e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.98
y[1] (analytic) = 0.89035143518420902889052747525158
y[1] (numeric) = 0.89035143518420900415955030553135
absolute error = 2.473097716972023e-17
relative error = 2.7776646605397475327239029545513e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.149
Order of pole = 4.655
x[1] = 0.981
y[1] (analytic) = 0.89095222131740231581071021030275
y[1] (numeric) = 0.89095222131740229107346775444218
absolute error = 2.473724245586057e-17
relative error = 2.7764948404621476416980905114525e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.982
y[1] (analytic) = 0.89155296683559019403053333854372
y[1] (numeric) = 0.89155296683559016928704073193035
absolute error = 2.474349260661337e-17
relative error = 2.7753250257734015807381750491875e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.983
y[1] (analytic) = 0.8921536717714937165666737877932
y[1] (numeric) = 0.89215367177149369181694612317439
absolute error = 2.474972766461881e-17
relative error = 2.7741552209805766502672976270958e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.984
y[1] (analytic) = 0.8927543361577944102975526357248
y[1] (numeric) = 0.89275433615779438554160496334513
absolute error = 2.475594767237967e-17
relative error = 2.7729854305635155147770965047760e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.402
Order of pole = 0.9676
x[1] = 0.985
y[1] (analytic) = 0.89335496002713433959970609164688
y[1] (numeric) = 0.89335496002713431483755341938476
absolute error = 2.476215267226212e-17
relative error = 2.7718156589750177383036959245722e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.986
y[1] (analytic) = 0.8939555434121161698561412376111
y[1] (numeric) = 0.8939555434121161450877985311151
absolute error = 2.476834270649600e-17
relative error = 2.7706459106409635174431325851785e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.987
y[1] (analytic) = 0.89455608634530323083698543354255
y[1] (numeric) = 0.89455608634530320606246761636708
absolute error = 2.477451781717547e-17
relative error = 2.7694761899604782565646108142666e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.988
y[1] (analytic) = 0.89515658885921957995273742180308
y[1] (numeric) = 0.89515658885921955517205937554369
absolute error = 2.478067804625939e-17
relative error = 2.7683065013060662977183714439839e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.989
y[1] (analytic) = 0.89575705098635006538042730011562
y[1] (numeric) = 0.89575705098635004059360386454377
absolute error = 2.478682343557185e-17
relative error = 2.7671368490237608378843615135195e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.698
Order of pole = 5.283
x[1] = 0.99
y[1] (analytic) = 0.89635747275914038906299166807582
y[1] (numeric) = 0.89635747275914036427003764127317
absolute error = 2.479295402680265e-17
relative error = 2.7659672374332676452987954208494e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.247
Order of pole = 0.6254
x[1] = 0.991
y[1] (analytic) = 0.89695785420999716958216939155158
y[1] (numeric) = 0.8969578542099971447830995300437
absolute error = 2.479906986150788e-17
relative error = 2.7647976708281193272863860534148e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.992
y[1] (analytic) = 0.89755819537128800490522257110862
y[1] (numeric) = 0.89755819537128798010005158999844
absolute error = 2.480517098111018e-17
relative error = 2.7636281534757933067460527817298e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.8209
Order of pole = 0.5543
x[1] = 0.993
y[1] (analytic) = 0.89815849627534153500578644519368
y[1] (numeric) = 0.89815849627534151019452901829426
absolute error = 2.481125742689942e-17
relative error = 2.7624586896178760680682139026062e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.994
y[1] (analytic) = 0.89875875695444750435915110614275
y[1] (numeric) = 0.8987587569544474795418218661096
absolute error = 2.481732924003315e-17
relative error = 2.7612892834702011343500034489825e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.177
Order of pole = 0.8809
x[1] = 0.995
y[1] (analytic) = 0.89935897744085682431227705715392
y[1] (numeric) = 0.89935897744085679948889059561693
absolute error = 2.482338646153699e-17
relative error = 2.7601199392229798011713869455567e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.996
y[1] (analytic) = 0.8999591577667816353288457911605
y[1] (numeric) = 0.89995915776678161049941665885534
absolute error = 2.482942913230516e-17
relative error = 2.7589506610409468841433463333555e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.997
y[1] (analytic) = 0.90055929796439536910964572805092
y[1] (numeric) = 0.90055929796439534427418843494996
absolute error = 2.483545729310096e-17
relative error = 2.7577814530635003123498823649513e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.2102
Order of pole = 0.5035
x[1] = 0.998
y[1] (analytic) = 0.90115939806583281058859300489802
y[1] (numeric) = 0.90115939806583278574712202034076
absolute error = 2.484147098455726e-17
relative error = 2.7566123194048412546327781227736e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.188
Order of pole = 0.8836
x[1] = 0.999
y[1] (analytic) = 0.90175945810319015980468577477178
y[1] (numeric) = 0.90175945810319013495721552759486
absolute error = 2.484747024717692e-17
relative error = 2.7554432641541059048578260803995e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1
y[1] (analytic) = 0.90235947810852509365018983330655
y[1] (numeric) = 0.90235947810852506879673471197331
absolute error = 2.485345512133324e-17
relative error = 2.7542742913755000472108562670464e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.001
y[1] (analytic) = 0.90295945811385682749535255846702
y[1] (numeric) = 0.90295945811385680263592691119651
absolute error = 2.485942564727051e-17
relative error = 2.7531054051084441410370000831698e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.344
Order of pole = 2.783
x[1] = 1.002
y[1] (analytic) = 0.90355939815116617668994131789598
y[1] (numeric) = 0.90355939815116615182455945279153
absolute error = 2.486538186510445e-17
relative error = 2.7519366093677056350741463819281e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.003
y[1] (analytic) = 0.9041592982523956179419016698233
y[1] (numeric) = 0.90415929825239559307057785500074
absolute error = 2.487132381482256e-17
relative error = 2.7507679081435207825616630019507e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.004
y[1] (analytic) = 0.9047591584494493505734298577592
y[1] (numeric) = 0.90475915844944932569617832147444
absolute error = 2.487725153628476e-17
relative error = 2.7495993054017480062357440444303e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.005
y[1] (analytic) = 0.90535897877419335765475327607465
y[1] (numeric) = 0.9053589787741933327715882068509
absolute error = 2.488316506922375e-17
relative error = 2.7484308050839897085885740969160e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.006
y[1] (analytic) = 0.90595875925845546701591176308195
y[1] (numeric) = 0.90595875925845544212684730983654
absolute error = 2.488906445324541e-17
relative error = 2.7472624111077179954964097538574e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.007
y[1] (analytic) = 0.90655849993402541213683176035612
y[1] (numeric) = 0.90655849993402538724188203252671
absolute error = 2.489494972782941e-17
relative error = 2.7460941273664230474773182227511e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.008
y[1] (analytic) = 0.90715820083265489291598456177422
y[1] (numeric) = 0.90715820083265486801516362944474
absolute error = 2.490082093232948e-17
relative error = 2.7449259577297234050293000631000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.6622
Order of pole = 0.5349
memory used=110.6MB, alloc=4.4MB, time=13.71
x[1] = 1.009
y[1] (analytic) = 0.90775786198605763631791906308838
y[1] (numeric) = 0.90775786198605761141124095711431
absolute error = 2.490667810597407e-17
relative error = 2.7437579060435187622551746024905e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.01
y[1] (analytic) = 0.90835748342590945689995861277442
y[1] (numeric) = 0.9083574834259094319874373249079
absolute error = 2.491252128786652e-17
relative error = 2.7425899761300881943273028352374e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.5838
Order of pole = 0.527
x[1] = 1.011
y[1] (analytic) = 0.90895706518384831721835075740938
y[1] (numeric) = 0.90895706518384829230000024042354
absolute error = 2.491835051698584e-17
relative error = 2.7414221717882550887391505274012e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.012
y[1] (analytic) = 0.90955660729147438811415786991032
y[1] (numeric) = 0.90955660729147436318999203772342
absolute error = 2.492416583218690e-17
relative error = 2.7402544967934865402720876853812e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.013
y[1] (analytic) = 0.91015610978035010887917584661322
y[1] (numeric) = 0.91015610978035008394920857441228
absolute error = 2.492996727220094e-17
relative error = 2.7390869548980274948808743565364e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.014
y[1] (analytic) = 0.91075557268200024730216725936782
y[1] (numeric) = 0.91075557268200022236641238373169
absolute error = 2.493575487563613e-17
relative error = 2.7379195498310398368024394324451e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.015
y[1] (analytic) = 0.91135499602791195959569455156672
y[1] (numeric) = 0.91135499602791193465416587058891
absolute error = 2.494152868097781e-17
relative error = 2.7367522852987057973941449657559e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.016
y[1] (analytic) = 0.9119543798495348502038380723065
y[1] (numeric) = 0.91195437984953482525654934571742
absolute error = 2.494728872658908e-17
relative error = 2.7355851649843693185941290950508e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.017
y[1] (analytic) = 0.9125537241782810314910829506818
y[1] (numeric) = 0.91255372417828100653804789997062
absolute error = 2.495303505071118e-17
relative error = 2.7344181925486538303847229963878e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.018
y[1] (analytic) = 0.91315302904552518331265802253648
y[1] (numeric) = 0.91315302904552515835389033107251
absolute error = 2.495876769146397e-17
relative error = 2.7332513716295904990826996592762e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.099
Order of pole = 1.825
x[1] = 1.019
y[1] (analytic) = 0.9137522944826046124666092348257
y[1] (numeric) = 0.91375229448260458750212254797946
absolute error = 2.496448668684624e-17
relative error = 2.7320847058427273500347792069591e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.638
Order of pole = 1.048
x[1] = 1.02
y[1] (analytic) = 0.9143515205208193120278891680735
y[1] (numeric) = 0.91435152052081928705769709333717
absolute error = 2.497019207473633e-17
relative error = 2.7309181987812718488249417691888e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.021
y[1] (analytic) = 0.91495070719143202056474353522968
y[1] (numeric) = 0.91495070719143199558885964233726
absolute error = 2.497588389289242e-17
relative error = 2.7297518540161968386186783001510e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.022
y[1] (analytic) = 0.91554985452566828123767473553312
y[1] (numeric) = 0.91554985452566825625611255658016
absolute error = 2.498156217895296e-17
relative error = 2.7285856750963613369352963142413e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.023
y[1] (analytic) = 0.91614896255471650078126176476285
y[1] (numeric) = 0.91614896255471647579403479432564
absolute error = 2.498722697043721e-17
relative error = 2.7274196655486428493763414400818e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.024
y[1] (analytic) = 0.91674803130972800836911500849675
y[1] (numeric) = 0.91674803130972798337623670375122
absolute error = 2.499287830474553e-17
relative error = 2.7262538288780418785245583023384e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.025
y[1] (analytic) = 0.9173470608218171143622436726926
y[1] (numeric) = 0.91734706082181708936372745353272
absolute error = 2.499851621915988e-17
relative error = 2.7250881685678088998561916468381e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.304
Order of pole = 3.616
x[1] = 1.026
y[1] (analytic) = 0.91794605112206116894111283604572
y[1] (numeric) = 0.91794605112206114393697208520147
absolute error = 2.500414075084425e-17
relative error = 2.7239226880795631992841268106482e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.876
Order of pole = 0.7759
x[1] = 1.027
y[1] (analytic) = 0.918545002241500620621666341156
y[1] (numeric) = 0.91854500224150059561191440431099
absolute error = 2.500975193684501e-17
relative error = 2.7227573908534025209433063107074e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.028
y[1] (analytic) = 0.91914391421113907465559097654435
y[1] (numeric) = 0.91914391421113904964024116245295
absolute error = 2.501534981409140e-17
relative error = 2.7215922803080275025853713018600e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.029
y[1] (analytic) = 0.91974278706194335131509663898582
y[1] (numeric) = 0.91974278706194332629416221958991
absolute error = 2.502093441939591e-17
relative error = 2.7204273598408536497956544241321e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.671
Order of pole = 2.206
x[1] = 1.03
y[1] (analytic) = 0.9203416208248435440624864054662
y[1] (numeric) = 0.92034162082484351903598061601145
absolute error = 2.502650578945475e-17
relative error = 2.7192626328281326369890295576983e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.031
y[1] (analytic) = 0.92094041553073307760478968631112
y[1] (numeric) = 0.920940415530733052572725725463
absolute error = 2.503206396084812e-17
relative error = 2.7180981026250514033115453974162e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.032
y[1] (analytic) = 0.92153917121046876583373087567455
y[1] (numeric) = 0.92153917121046874079612190563371
absolute error = 2.503760897004084e-17
relative error = 2.7169337725658699124750269622772e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.033
y[1] (analytic) = 0.92213788789487086965130516259558
y[1] (numeric) = 0.92213788789487084460816430921303
absolute error = 2.504314085338255e-17
relative error = 2.7157696459640117304317718476148e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.034
y[1] (analytic) = 0.92273656561472315468123241523485
y[1] (numeric) = 0.92273656561472312963257276812663
absolute error = 2.504865964710822e-17
relative error = 2.7146057261121878315601141514677e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.035
y[1] (analytic) = 0.9233352044007729488665593026711
y[1] (numeric) = 0.9233352044007729238123939153325
absolute error = 2.505416538733860e-17
relative error = 2.7134420162825134105425429854390e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.74
Order of pole = 1.084
x[1] = 1.036
y[1] (analytic) = 0.92393380428373119995367907276955
y[1] (numeric) = 0.92393380428373117489402096268903
absolute error = 2.505965811008052e-17
relative error = 2.7122785197266079908354355424922e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.661
Order of pole = 0.7144
x[1] = 1.037
y[1] (analytic) = 0.92453236529427253286303766111765
y[1] (numeric) = 0.92453236529427250779789980989029
absolute error = 2.506513785122736e-17
relative error = 2.7111152396757135176517550781295e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.038
y[1] (analytic) = 0.92513088746303530694679406485075
y[1] (numeric) = 0.92513088746303528187618941829132
absolute error = 2.507060464655943e-17
relative error = 2.7099521793408022499931927064280e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.039
y[1] (analytic) = 0.9257293708206216731337021763538
y[1] (numeric) = 0.9257293708206216480576436446094
absolute error = 2.507605853174440e-17
relative error = 2.7087893419126896212365700277970e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.04
y[1] (analytic) = 0.92632781539759763096148053531598
y[1] (numeric) = 0.92632781539759760587998099297835
absolute error = 2.508149954233763e-17
relative error = 2.7076267305621358529545135366474e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=114.4MB, alloc=4.4MB, time=14.19
x[1] = 1.041
y[1] (analytic) = 0.92692622122449308549693572342525
y[1] (numeric) = 0.9269262212244930604100080096426
absolute error = 2.508692771378265e-17
relative error = 2.7064643484399633437829555937771e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.042
y[1] (analytic) = 0.92752458833180190414410439411075
y[1] (numeric) = 0.92752458833180187905176131269922
absolute error = 2.509234308141153e-17
relative error = 2.7053021986771617306103000282303e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.043
y[1] (analytic) = 0.92812291674998197334067820016508
y[1] (numeric) = 0.92812291674998194824293251971985
absolute error = 2.509774568044523e-17
relative error = 2.7041402843849903748383712810023e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.044
y[1] (analytic) = 0.92872120650945525514297515479735
y[1] (numeric) = 0.9287212065094552300398396088033
absolute error = 2.510313554599405e-17
relative error = 2.7029786086550912064364087723763e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.045
y[1] (analytic) = 0.92931945764060784369972023667275
y[1] (numeric) = 0.92931945764060781859120752361479
absolute error = 2.510851271305796e-17
relative error = 2.7018171745595882059903019673492e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.046
y[1] (analytic) = 0.9299176701737900216148973267787
y[1] (numeric) = 0.92991767017378999650102011025161
absolute error = 2.511387721652709e-17
relative error = 2.7006559851512036952326870784291e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.047
y[1] (analytic) = 0.93051584413931631619993384451132
y[1] (numeric) = 0.93051584413931629108070475332931
absolute error = 2.511922909118201e-17
relative error = 2.6994950434633515976378211482936e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.048
y[1] (analytic) = 0.93111397956746555561547873219328
y[1] (numeric) = 0.93111397956746553049091036049912
absolute error = 2.512456837169416e-17
relative error = 2.6983343525102464361309303859325e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.37
Order of pole = 0.9325
x[1] = 1.049
y[1] (analytic) = 0.93171207648848092490303372130488
y[1] (numeric) = 0.93171207648848089977313862867863
absolute error = 2.512989509262625e-17
relative error = 2.6971739152870086780288391132030e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.05
y[1] (analytic) = 0.93231013493257002190669710002782
y[1] (numeric) = 0.93231013493256999677148781159519
absolute error = 2.513520928843263e-17
relative error = 2.6960137347697664437325558905191e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.051
y[1] (analytic) = 0.93290815492990491308527849025752
y[1] (numeric) = 0.93290815492990488794476749679784
absolute error = 2.514051099345968e-17
relative error = 2.6948538139157589551877096303435e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.164
Order of pole = 1.269
x[1] = 1.052
y[1] (analytic) = 0.93350613651062218921504243302668
y[1] (numeric) = 0.93350613651062216406924219108051
absolute error = 2.514580024194617e-17
relative error = 2.6936941556634363602719487999082e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.053
y[1] (analytic) = 0.93410407970482302098333787429232
y[1] (numeric) = 0.9341040797048229958322608062687
absolute error = 2.515107706802362e-17
relative error = 2.6925347629325591610945295802615e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.054
y[1] (analytic) = 0.9347019845425732144733699382635
y[1] (numeric) = 0.93470198454257318931702843254673
absolute error = 2.515634150571677e-17
relative error = 2.6913756386243090165477703730465e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.055
y[1] (analytic) = 0.93529985105390326654036967287825
y[1] (numeric) = 0.93529985105390324137877608393436
absolute error = 2.516159358894389e-17
relative error = 2.6902167856213820005764911709769e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.056
y[1] (analytic) = 0.93589767926880842007941675166988
y[1] (numeric) = 0.93589767926880839491258340015277
absolute error = 2.516683335151711e-17
relative error = 2.6890582067880836276031684628227e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.057
y[1] (analytic) = 0.93649546921724871918516941808568
y[1] (numeric) = 0.93649546921724869401310859094281
absolute error = 2.517206082714287e-17
relative error = 2.6878999049704363154235764020842e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.058
y[1] (analytic) = 0.93709322092914906420375526232745
y[1] (numeric) = 0.93709322092914903902647921290515
absolute error = 2.517727604942230e-17
relative error = 2.6867418829962789546774995305189e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.059
y[1] (analytic) = 0.93769093443439926667707572696665
y[1] (numeric) = 0.93769093443439924149459667511516
absolute error = 2.518247905185149e-17
relative error = 2.6855841436753543544315036426874e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.06
y[1] (analytic) = 0.93828860976285410417977654593872
y[1] (numeric) = 0.93828860976285407899210667811676
absolute error = 2.518766986782196e-17
relative error = 2.6844266897994176569149656441097e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.061
y[1] (analytic) = 0.9388862469443333750491356320333
y[1] (numeric) = 0.93888624694433334985628710141232
absolute error = 2.519284853062098e-17
relative error = 2.6832695241423283498608061886907e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.062
y[1] (analytic) = 0.93948384600862195300811924066365
y[1] (numeric) = 0.93948384600862192781010416723165
absolute error = 2.519801507343200e-17
relative error = 2.6821126494601536243698993436338e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.165
Order of pole = 0.6034
x[1] = 1.063
y[1] (analytic) = 0.94008140698546984168185655250978
y[1] (numeric) = 0.94008140698546981647868702317491
absolute error = 2.520316952933487e-17
relative error = 2.6809560684912489883114614941184e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.064
y[1] (analytic) = 0.94067892990459222900778213458075
y[1] (numeric) = 0.94067892990459220379947020327441
absolute error = 2.520831193130634e-17
relative error = 2.6797997839563683265369875997134e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.065
y[1] (analytic) = 0.94127641479566954153969505832168
y[1] (numeric) = 0.94127641479566951632625274610126
absolute error = 2.521344231222042e-17
relative error = 2.6786437985587586568939623051611e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.066
y[1] (analytic) = 0.94187386168834749864598277459558
y[1] (numeric) = 0.94187386168834747342742206974697
absolute error = 2.521856070484861e-17
relative error = 2.6774881149842407118210178200540e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.067
y[1] (analytic) = 0.94247127061223716660225716869068
y[1] (numeric) = 0.94247127061223714137859002683025
absolute error = 2.522366714186043e-17
relative error = 2.6763327359013210332521947103463e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.892
Order of pole = 1.134
x[1] = 1.068
y[1] (analytic) = 0.94306864159691501257864954393135
y[1] (numeric) = 0.94306864159691498734988788810774
absolute error = 2.522876165582361e-17
relative error = 2.6751776639612675776231622796387e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.069
y[1] (analytic) = 0.94366597467192295852201061000168
y[1] (numeric) = 0.94366597467192293328816633079706
absolute error = 2.523384427920462e-17
relative error = 2.6740229017982210521751073175374e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.07
y[1] (analytic) = 0.94426326986676843493326088171268
y[1] (numeric) = 0.94426326986676840969434583734383
absolute error = 2.523891504436885e-17
relative error = 2.6728684520292687515859552446277e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.071
y[1] (analytic) = 0.9448605272109244345401362256551
y[1] (numeric) = 0.94486052721092440929616224207399
absolute error = 2.524397398358111e-17
relative error = 2.6717143172545519709072337025063e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.477
Order of pole = 0.665
x[1] = 1.072
y[1] (analytic) = 0.94545774673382956586557262596738
y[1] (numeric) = 0.94545774673382954061655149696151
absolute error = 2.524902112900587e-17
relative error = 2.6705605000573455004779997978779e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=118.2MB, alloc=4.4MB, time=14.67
x[1] = 1.073
y[1] (analytic) = 0.9460549284648881066919735763097
y[1] (numeric) = 0.94605492846488808143791706360202
absolute error = 2.525405651270768e-17
relative error = 2.6694070030041558352128816067476e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.074
y[1] (analytic) = 0.9466520724334700574216028430597
y[1] (numeric) = 0.94665207243347003216252267640816
absolute error = 2.525908016665154e-17
relative error = 2.6682538286448137195667818324528e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.075
y[1] (analytic) = 0.94724917866891119433334468472772
y[1] (numeric) = 0.9472491786689111690692525620246
absolute error = 2.526409212270312e-17
relative error = 2.6671009795125504963875792081431e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.1
Order of pole = 4.301
x[1] = 1.076
y[1] (analytic) = 0.9478462472005131227360729546228
y[1] (numeric) = 0.94784624720051309746698054199351
absolute error = 2.526909241262929e-17
relative error = 2.6659484581241068622473709189521e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.077
y[1] (analytic) = 0.9484432780575433300188698578748
y[1] (numeric) = 0.94844327805754330474478878977653
absolute error = 2.527408106809827e-17
relative error = 2.6647962669798011357471278035544e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.078
y[1] (analytic) = 0.94904027126923523859833448003112
y[1] (numeric) = 0.94904027126923521331927635935094
absolute error = 2.527905812068018e-17
relative error = 2.6636444085636394054760285449834e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.079
y[1] (analytic) = 0.94963722686478825876322055258475
y[1] (numeric) = 0.94963722686478823347919695073758
absolute error = 2.528402360184717e-17
relative error = 2.6624928853433810246550238971504e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.08
y[1] (analytic) = 0.950234144873367841416642270954
y[1] (numeric) = 0.95023414487336781612766472798008
absolute error = 2.528897754297392e-17
relative error = 2.6613416997706427863312140306996e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.081
y[1] (analytic) = 0.9508310253241055307160863326092
y[1] (numeric) = 0.95083102532410550542216635727127
absolute error = 2.529391997533793e-17
relative error = 2.6601908542809806099534706470150e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.082
y[1] (analytic) = 0.95142786824609901661146771722645
y[1] (numeric) = 0.95142786824609899131261678710658
absolute error = 2.529885093011987e-17
relative error = 2.6590403512939772165853150589585e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.47
Order of pole = 4.685
x[1] = 1.083
y[1] (analytic) = 0.95202467366841218728146608693268
y[1] (numeric) = 0.95202467366841216197769564852886
absolute error = 2.530377043840382e-17
relative error = 2.6578901932133179098818667550952e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.084
y[1] (analytic) = 0.95262144162007518146837904288515
y[1] (numeric) = 0.95262144162007515615970051170737
absolute error = 2.530867853117778e-17
relative error = 2.6567403824268944050066501862750e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.085
y[1] (analytic) = 0.95321817213008444071172783459215
y[1] (numeric) = 0.95321817213008441539815259525828
absolute error = 2.531357523933387e-17
relative error = 2.6555909213068757361485267883974e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.086
y[1] (analytic) = 0.9538148652274027614808504805277
y[1] (numeric) = 0.95381486522740273616238988685902
absolute error = 2.531846059366868e-17
relative error = 2.6544418122097946142968316734423e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.044
Order of pole = 1.723
x[1] = 1.087
y[1] (analytic) = 0.95441152094095934720671662270972
y[1] (numeric) = 0.95441152094095932188338199782603
absolute error = 2.532333462488369e-17
relative error = 2.6532930574766407856106628288786e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.088
y[1] (analytic) = 0.95500813929964986021319780399475
y[1] (numeric) = 0.95500813929964983488500044040922
absolute error = 2.532819736358553e-17
relative error = 2.6521446594329372762924078582148e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.089
y[1] (analytic) = 0.9556047203323364735480262248853
y[1] (numeric) = 0.95560472033233644821497738459906
absolute error = 2.533304884028624e-17
relative error = 2.6509966203888163421715259193598e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.09
y[1] (analytic) = 0.95620126406784792271367440664102
y[1] (numeric) = 0.95620126406784789737578532123728
absolute error = 2.533788908540374e-17
relative error = 2.6498489426391170862716087540703e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.091
y[1] (analytic) = 0.95679777053497955729838755942498
y[1] (numeric) = 0.95679777053497953195566943016288
absolute error = 2.534271812926210e-17
relative error = 2.6487016284634617986088105135651e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.092
y[1] (analytic) = 0.95739423976249339250759982809652
y[1] (numeric) = 0.95739423976249336716006382600469
absolute error = 2.534753600209183e-17
relative error = 2.6475546801263340901522786691495e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.093
y[1] (analytic) = 0.95799067177911816059596496407345
y[1] (numeric) = 0.95799067177911813524362223004321
absolute error = 2.535234273403024e-17
relative error = 2.6464080998771640324641963291533e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.678
Order of pole = 2.897
x[1] = 1.094
y[1] (analytic) = 0.95858706661354936220023134942322
y[1] (numeric) = 0.95858706661354933684309299430146
absolute error = 2.535713835512176e-17
relative error = 2.6452618899504087973667152660433e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.095
y[1] (analytic) = 0.9591834242944493175731906789987
y[1] (numeric) = 0.95918342429444929221126778368041
absolute error = 2.536192289531829e-17
relative error = 2.6441160525656361141805236961513e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.096
y[1] (analytic) = 0.95977974485044721771892898800158
y[1] (numeric) = 0.95977974485044719235223260352215
absolute error = 2.536669638447943e-17
relative error = 2.6429705899275949037773405134966e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.097
y[1] (analytic) = 0.96037602831013917542960809583012
y[1] (numeric) = 0.96037602831013915005814924345727
absolute error = 2.537145885237285e-17
relative error = 2.6418255042263002179916413039660e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.098
y[1] (analytic) = 0.96097227470208827622400492243958
y[1] (numeric) = 0.96097227470208825084779459376487
absolute error = 2.537621032867471e-17
relative error = 2.6406807976371230568189336773474e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.774
Order of pole = 2.188
x[1] = 1.099
y[1] (analytic) = 0.96156848405482462918803552070782
y[1] (numeric) = 0.96156848405482460380708467773803
absolute error = 2.538095084296979e-17
relative error = 2.6395364723208496834186113280951e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.1
y[1] (analytic) = 0.96216465639684541771749005744932
y[1] (numeric) = 0.96216465639684539233180963269738
absolute error = 2.538568042475194e-17
relative error = 2.6383925304237739680195359667420e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.101
y[1] (analytic) = 0.9627607917566149501632043667491
y[1] (numeric) = 0.96276079175661492477280526332474
absolute error = 2.539039910342436e-17
relative error = 2.6372489740777717223324115443978e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.556
Order of pole = 0.983
x[1] = 1.102
y[1] (analytic) = 0.96335689016256471037889309219042
y[1] (numeric) = 0.96335689016256468498378618389055
absolute error = 2.539510690829987e-17
relative error = 2.6361058054003737111559658163705e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.103
y[1] (analytic) = 0.9639529516430934081718688293182
y[1] (numeric) = 0.96395295164309338277206496071689
absolute error = 2.539980386860131e-17
relative error = 2.6349630264948518705085258932716e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.104
y[1] (analytic) = 0.96454897622656702965687107630738
y[1] (numeric) = 0.96454897622656700425238106284562
absolute error = 2.540449001346176e-17
relative error = 2.6338206394502865358604535889685e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=122.0MB, alloc=4.4MB, time=15.15
x[1] = 1.105
y[1] (analytic) = 0.96514496394131888751322819928728
y[1] (numeric) = 0.96514496394131886210406282736239
absolute error = 2.540916537192489e-17
relative error = 2.6326786463416468821646323135499e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.106
y[1] (analytic) = 0.96574091481564967114557501910048
y[1] (numeric) = 0.96574091481564964573174504615518
absolute error = 2.541382997294530e-17
relative error = 2.6315370492298700220422261792496e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.245
Order of pole = 1.827
x[1] = 1.107
y[1] (analytic) = 0.96633682887782749674834802844355
y[1] (numeric) = 0.96633682887782747132986418305476
absolute error = 2.541848384538879e-17
relative error = 2.6303958501619325589804676250366e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.108
y[1] (analytic) = 0.96693270615608795727427965233962
y[1] (numeric) = 0.96693270615608793185115263430701
absolute error = 2.542312701803261e-17
relative error = 2.6292550511709197991588563655340e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.109
y[1] (analytic) = 0.96752854667863417230711237072388
y[1] (numeric) = 0.96752854667863414687935285115793
absolute error = 2.542775951956595e-17
relative error = 2.6281146542761195046612432028153e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.11
y[1] (analytic) = 0.9681243504736368378387529295741
y[1] (numeric) = 0.9681243504736368124063715509841
absolute error = 2.543238137859000e-17
relative error = 2.6269746614830708764350673421267e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.398
Order of pole = 0.6435
x[1] = 1.111
y[1] (analytic) = 0.96872011756923427595108627648748
y[1] (numeric) = 0.96872011756923425051409365286904
absolute error = 2.543699262361844e-17
relative error = 2.6258350747836577367563412564324e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.112
y[1] (analytic) = 0.96931584799353248440266826787992
y[1] (numeric) = 0.96931584799353245896107498480226
absolute error = 2.544159328307766e-17
relative error = 2.6246958961561735052191601435851e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.113
y[1] (analytic) = 0.96991154177460518612051560806418
y[1] (numeric) = 0.96991154177460516067433222275711
absolute error = 2.544618338530707e-17
relative error = 2.6235571275653952063906843814642e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.114
y[1] (analytic) = 0.97050719894049387859721089533878
y[1] (numeric) = 0.9705071989404938531464479367794
absolute error = 2.545076295855938e-17
relative error = 2.6224187709626541057258625141835e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.115
y[1] (analytic) = 0.9711028195192078831935400668861
y[1] (numeric) = 0.97110281951920785773820803588509
absolute error = 2.545533203100101e-17
relative error = 2.6212808282859194644041686891082e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.116
y[1] (analytic) = 0.97169840353872439434687895272782
y[1] (numeric) = 0.97169840353872436888698832201564
absolute error = 2.545989063071218e-17
relative error = 2.6201433014598490462055549378568e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.117
y[1] (analytic) = 0.97229395102698852868554506921595
y[1] (numeric) = 0.97229395102698850322110628352848
absolute error = 2.546443878568747e-17
relative error = 2.6190061923958877702088094286476e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.118
y[1] (analytic) = 0.97288946201191337404933020453618
y[1] (numeric) = 0.97288946201191334858035368070037
absolute error = 2.546897652383581e-17
relative error = 2.6178695029923074050097157746062e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.119
y[1] (analytic) = 0.97348493652138003841642877246915
y[1] (numeric) = 0.97348493652138001294292489948812
absolute error = 2.547350387298103e-17
relative error = 2.6167332351343036348126200761176e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.053
Order of pole = 0.5808
x[1] = 1.12
y[1] (analytic) = 0.9740803745832376987369763361793
y[1] (numeric) = 0.97408037458323767325895547531721
absolute error = 2.547802086086209e-17
relative error = 2.6155973906940599103264105942384e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.121
y[1] (analytic) = 0.97467577622530364967341213108245
y[1] (numeric) = 0.97467577622530362419088461594922
absolute error = 2.548252751513323e-17
relative error = 2.6144619715308028501590313393374e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.322
Order of pole = 1.303
x[1] = 1.122
y[1] (analytic) = 0.97527114147536335224787884487095
y[1] (numeric) = 0.97527114147536332676085498150651
absolute error = 2.548702386336444e-17
relative error = 2.6133269794908902431158748781454e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.427
Order of pole = 0.9283
x[1] = 1.123
y[1] (analytic) = 0.97586647036117048239687234354412
y[1] (numeric) = 0.97586647036117045690536241050243
absolute error = 2.549150993304169e-17
relative error = 2.6121924164078741273409224386457e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.124
y[1] (analytic) = 0.9764617629104469794333534647979
y[1] (numeric) = 0.9764617629104469539373677132307
absolute error = 2.549598575156720e-17
relative error = 2.6110582841025677277001066345570e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.08
Order of pole = 1.709
x[1] = 1.125
y[1] (analytic) = 0.97705701915088309441653343436235
y[1] (numeric) = 0.9770570191508830689160820881027
absolute error = 2.550045134625965e-17
relative error = 2.6099245843831060001980212321676e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.126
y[1] (analytic) = 0.9776522391101374384295438968354
y[1] (numeric) = 0.97765223911013741292463715248077
absolute error = 2.550490674435463e-17
relative error = 2.6087913190450304964965659381782e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 12.61
Order of pole = 12.02
x[1] = 1.127
y[1] (analytic) = 0.9782474228158370307652019902374
y[1] (numeric) = 0.97824742281583700525585001723256
absolute error = 2.550935197300484e-17
relative error = 2.6076584898713483554405815845768e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.4579
Order of pole = 0.5152
x[1] = 1.128
y[1] (analytic) = 0.97884257029557734702008033290125
y[1] (numeric) = 0.97884257029557732150629327362091
absolute error = 2.551378705928034e-17
relative error = 2.6065260986325961802290402853538e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.129
y[1] (analytic) = 0.97943768157692236709709123240802
y[1] (numeric) = 0.9794376815769223415788792022391
absolute error = 2.551821203016892e-17
relative error = 2.6053941470869159274684974875350e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.13
y[1] (analytic) = 0.98003275668740462311679386907362
y[1] (numeric) = 0.98003275668740459759416695649733
absolute error = 2.552262691257629e-17
relative error = 2.6042626369801121458939666730866e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.131
y[1] (analytic) = 0.9806277956545252472376326509832
y[1] (numeric) = 0.98062779565452522171060091765679
absolute error = 2.552703173332641e-17
relative error = 2.6031315700457232762036243481158e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.132
y[1] (analytic) = 0.98122279850575401938531438374875
y[1] (numeric) = 0.98122279850575399385388786458698
absolute error = 2.553142651916177e-17
relative error = 2.6020009480050875887843247275743e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.133
y[1] (analytic) = 0.98181776526852941489153134602795
y[1] (numeric) = 0.98181776526852938935572004928434
absolute error = 2.553581129674361e-17
relative error = 2.6008707725674027636218114668875e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.134
y[1] (analytic) = 0.98241269597025865204223681138212
y[1] (numeric) = 0.98241269597025862650205071872978
absolute error = 2.554018609265234e-17
relative error = 2.5997410454298056048658871219316e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.7736
Order of pole = 0.5431
x[1] = 1.135
y[1] (analytic) = 0.9830075906383177395356790082617
y[1] (numeric) = 0.98300759063831771399112807487402
absolute error = 2.554455093338768e-17
relative error = 2.5986117682774229750782917829895e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.136
y[1] (analytic) = 0.98360244930005152385039896278532
y[1] (numeric) = 0.98360244930005149830149311741641
absolute error = 2.554890584536891e-17
relative error = 2.5974829427834337212415908211879e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=125.8MB, alloc=4.4MB, time=15.64
x[1] = 1.137
y[1] (analytic) = 0.98419727198277373652339712351565
y[1] (numeric) = 0.98419727198277371097014626858035
absolute error = 2.555325085493530e-17
relative error = 2.5963545706091486584734156037394e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 31.9
Order of pole = 73.66
x[1] = 1.138
y[1] (analytic) = 0.98479205871376704133867312362612
y[1] (numeric) = 0.98479205871376701578108713527983
absolute error = 2.555758598834629e-17
relative error = 2.5952266534040648711207564616062e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.139
y[1] (analytic) = 0.98538680952028308142634249369388
y[1] (numeric) = 0.98538680952028305586443122191216
absolute error = 2.556191127178172e-17
relative error = 2.5940991928059248847133142891267e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.14
y[1] (analytic) = 0.9859815244295425262725335978379
y[1] (numeric) = 0.98598152442954250070630686649575
absolute error = 2.556622673134215e-17
relative error = 2.5929721904407847451344739670783e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.686
Order of pole = 0.704
x[1] = 1.141
y[1] (analytic) = 0.98657620346873511864026752704212
y[1] (numeric) = 0.98657620346873509306973513399292
absolute error = 2.557053239304920e-17
relative error = 2.5918456479230838722384146364331e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.142
y[1] (analytic) = 0.98717084666501972140152314625698
y[1] (numeric) = 0.98717084666501969582669486341132
absolute error = 2.557482828284566e-17
relative error = 2.5907195668556913555975835776303e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.484
Order of pole = 0.9419
x[1] = 1.143
y[1] (analytic) = 0.98776545404552436428068895625298
y[1] (numeric) = 0.9877654540455243387015745296571
absolute error = 2.557911442659588e-17
relative error = 2.5895939488299804234036273296069e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.409
Order of pole = 0.9155
x[1] = 1.144
y[1] (analytic) = 0.98836002563734629050960289720002
y[1] (numeric) = 0.98836002563734626492621204711401
absolute error = 2.558339085008601e-17
relative error = 2.5884687954258874595170423452308e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.145
y[1] (analytic) = 0.98895456146755200339438068856292
y[1] (numeric) = 0.98895456146755197780672310953864
absolute error = 2.558765757902428e-17
relative error = 2.5873441082119748459654900779990e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.146
y[1] (analytic) = 0.9895490615631773127942327691293
y[1] (numeric) = 0.98954906156317728720231813008813
absolute error = 2.559191463904117e-17
relative error = 2.5862198887454824564391351124973e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.147
y[1] (analytic) = 0.9901435259512273815124693718173
y[1] (numeric) = 0.99014352595122735591630731612749
absolute error = 2.559616205568981e-17
relative error = 2.5850961385724021869938281872476e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.616
Order of pole = 0.9883
x[1] = 1.148
y[1] (analytic) = 0.99073795465867677159989274033905
y[1] (numeric) = 0.99073795465867674599949288589291
absolute error = 2.560039985444614e-17
relative error = 2.5839728592275279878722277668515e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.149
y[1] (analytic) = 0.99133234771246949057077496882022
y[1] (numeric) = 0.99133234771246946496614690811095
absolute error = 2.560462806070927e-17
relative error = 2.5828500522345258840461985096209e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.15
y[1] (analytic) = 0.99192670513951903753161942108618
y[1] (numeric) = 0.99192670513951901192277272128455
absolute error = 2.560884669980163e-17
relative error = 2.5817277191059825669897961018012e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.151
y[1] (analytic) = 0.99252102696670844922290316352025
y[1] (numeric) = 0.99252102696670842360984736655099
absolute error = 2.561305579696926e-17
relative error = 2.5806058613434679113035957677435e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.152
y[1] (analytic) = 0.9931153132208903459739973241706
y[1] (numeric) = 0.99311531322089032035674194678842
absolute error = 2.561725537738218e-17
relative error = 2.5794844804376053163139380864826e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.153
y[1] (analytic) = 0.99370956392888697757146177112548
y[1] (numeric) = 0.99370956392888695195001630499099
absolute error = 2.562144546613449e-17
relative error = 2.5783635778681146183895049127355e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.154
y[1] (analytic) = 0.99430377911749026904090998508755
y[1] (numeric) = 0.99430377911749024341528389684286
absolute error = 2.562562608824469e-17
relative error = 2.5772431551038769694980730761846e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 32.49
Order of pole = 75.43
x[1] = 1.155
y[1] (analytic) = 0.994897958813461866342639484549
y[1] (numeric) = 0.99489795881346184071284221589299
absolute error = 2.562979726865601e-17
relative error = 2.5761232136030004825217513555750e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.169
Order of pole = 1.212
x[1] = 1.156
y[1] (analytic) = 0.99549210304353318198122264699682
y[1] (numeric) = 0.9954921030435331563472636147603
absolute error = 2.563395903223652e-17
relative error = 2.5750037548128635360349011128552e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.209
Order of pole = 0.6036
x[1] = 1.157
y[1] (analytic) = 0.99608621183440544052925225615678
y[1] (numeric) = 0.99608621183440541489114085237723
absolute error = 2.563811140377955e-17
relative error = 2.5738847801701890401237125569443e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.158
y[1] (analytic) = 0.99668028521274972406543559340778
y[1] (numeric) = 0.99668028521274969842318118540403
absolute error = 2.564225440800375e-17
relative error = 2.5727662911010823109472769327297e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.159
y[1] (analytic) = 0.99727432320520701752723038116388
y[1] (numeric) = 0.99727432320520699188084231161037
absolute error = 2.564638806955351e-17
relative error = 2.5716482890211049026286562731922e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.16
y[1] (analytic) = 0.99786832583838825397821537721968
y[1] (numeric) = 0.99786832583838822832770296422053
absolute error = 2.565051241299915e-17
relative error = 2.5705307753353251206459014027379e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.161
y[1] (analytic) = 0.99846229313887435979038791178508
y[1] (numeric) = 0.99846229313887433413576044894795
absolute error = 2.565462746283713e-17
relative error = 2.5694137514383703523918428232479e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.162
y[1] (analytic) = 0.99905622513321629974158015318965
y[1] (numeric) = 0.99905622513321627408284690969924
absolute error = 2.565873324349041e-17
relative error = 2.5682972187144942196684308708532e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.163
y[1] (analytic) = 0.99965012184793512202818538401018
y[1] (numeric) = 0.99965012184793509636535560470159
absolute error = 2.566282977930859e-17
relative error = 2.5671811785376214785735429952848e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.831
Order of pole = 1.065
x[1] = 1.164
y[1] (analytic) = 1.000243983309522003193385066664
y[1] (numeric) = 1.0002439833095219775264679720959
absolute error = 2.56669170945681e-17
relative error = 2.5660656322713977527357510278595e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.165
y[1] (analytic) = 1.0008378095444382929710669763085
y[1] (numeric) = 1.0008378095444382673000717628357
absolute error = 2.56709952134728e-17
relative error = 2.5649505812692800497294234138208e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.166
y[1] (analytic) = 1.0014316005791155590456241791879
y[1] (numeric) = 1.0014316005791155333705600190342
absolute error = 2.56750641601537e-17
relative error = 2.5638360268745390758542464267363e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.167
y[1] (analytic) = 1.0020253564399556317278241363718
y[1] (numeric) = 1.0020253564399556060487001777023
absolute error = 2.56791239586695e-17
relative error = 2.5627219704203433715912310624530e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.168
y[1] (analytic) = 1.0026190771533306485469367161234
y[1] (numeric) = 1.0026190771533306228637620831165
absolute error = 2.56831746330069e-17
relative error = 2.5616084132298202028687134205054e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=129.7MB, alloc=4.4MB, time=16.12
x[1] = 1.169
y[1] (analytic) = 1.0032127627455830987593094029204
y[1] (numeric) = 1.0032127627455830730720931958396
absolute error = 2.56872162070808e-17
relative error = 2.5604953566161052660685164196684e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.17
y[1] (analytic) = 1.0038064132430258677735774974204
y[1] (numeric) = 1.0038064132430258420823287926861
absolute error = 2.56912487047343e-17
relative error = 2.5593828018823722872626898629410e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.171
y[1] (analytic) = 1.0044000286719422814926966094097
y[1] (numeric) = 1.0044000286719422557974244596702
absolute error = 2.56952721497395e-17
relative error = 2.5582707503219421608306062049072e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.172
y[1] (analytic) = 1.0049936090585861505729842549956
y[1] (numeric) = 1.0049936090585861248736976891989
absolute error = 2.56992865657967e-17
relative error = 2.5571592032182324911492687786610e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.173
y[1] (analytic) = 1.0055871544291818146003568799957
y[1] (numeric) = 1.0055871544291817888970649034596
absolute error = 2.57032919765361e-17
relative error = 2.5560481618449559188516395192865e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.174
y[1] (analytic) = 1.0061806648099241861839481436272
y[1] (numeric) = 1.0061806648099241604766597381105
absolute error = 2.57072884055167e-17
relative error = 2.5549376274660394600107528145177e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.175
y[1] (analytic) = 1.0067741402269787949672938102202
y[1] (numeric) = 1.0067741402269787692560179339928
absolute error = 2.57112758762274e-17
relative error = 2.5538276013357626453283694538991e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.176
y[1] (analytic) = 1.0073675807064818315572681117418
y[1] (numeric) = 1.0073675807064818058420136996551
absolute error = 2.57152544120867e-17
relative error = 2.5527180846987561899427627566071e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.177
y[1] (analytic) = 1.0079609862745401913709559604391
y[1] (numeric) = 1.0079609862745401656517319239959
absolute error = 2.57192240364432e-17
relative error = 2.5516090787900800311383309659748e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.178
y[1] (analytic) = 1.0085543569572315184006449088705
y[1] (numeric) = 1.0085543569572314926774601362946
absolute error = 2.57231847725759e-17
relative error = 2.5505005848352812552786107540913e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.8841
Order of pole = 0.5545
x[1] = 1.179
y[1] (analytic) = 1.0091476927806042488971202739969
y[1] (numeric) = 1.0091476927806042231699836303027
absolute error = 2.57271366436942e-17
relative error = 2.5493926040504220874453991427012e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.18
y[1] (analytic) = 1.0097409937706776549714463628424
y[1] (numeric) = 1.0097409937706776292403666899039
absolute error = 2.57310796729385e-17
relative error = 2.5482851376421671987356317654768e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.181
y[1] (analytic) = 1.0103342599534418881154162595002
y[1] (numeric) = 1.0103342599534418623804023761203
absolute error = 2.57350138833799e-17
relative error = 2.5471781868077816217094012437163e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.182
y[1] (analytic) = 1.0109274913548580226408521569531
y[1] (numeric) = 1.0109274913548579969019128589323
absolute error = 2.57389392980208e-17
relative error = 2.5460717527352176955712563407898e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.183
y[1] (analytic) = 1.0115206880008580990379377422899
y[1] (numeric) = 1.0115206880008580732950818024946
absolute error = 2.57428559397953e-17
relative error = 2.5449658366031819284590117924951e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.184
y[1] (analytic) = 1.012113849917345167252763670428
y[1] (numeric) = 1.0121138499173451415059998388592
absolute error = 2.57467638315688e-17
relative error = 2.5438604395811225774312729490116e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.185
y[1] (analytic) = 1.0127069771301933298842666893938
y[1] (numeric) = 1.0127069771301933041336036932548
absolute error = 2.57506629961390e-17
relative error = 2.5427555628293555107930331792753e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.186
y[1] (analytic) = 1.0133000696652477853007425095544
y[1] (numeric) = 1.013300069665247759546189053319
absolute error = 2.57545534562354e-17
relative error = 2.5416512074990415925890010260643e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.187
y[1] (analytic) = 1.0138931275483248706761120399476
y[1] (numeric) = 1.0138931275483248449176768054274
absolute error = 2.57584352345202e-17
relative error = 2.5405473747323022235097707989291e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.188
y[1] (analytic) = 1.0144861508052121049461201469945
y[1] (numeric) = 1.0144861508052120791838117934067
absolute error = 2.57623083535878e-17
relative error = 2.5394440656621964710855928723790e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.189
y[1] (analytic) = 1.0150791394616682316846456244228
y[1] (numeric) = 1.0150791394616682059184727884571
absolute error = 2.57661728359657e-17
relative error = 2.5383412814128361958170420850047e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.19
y[1] (analytic) = 1.0156720935434232619003005981462
y[1] (numeric) = 1.0156720935434232361302718940317
absolute error = 2.57700287041145e-17
relative error = 2.5372390230994121582570501005590e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.106
Order of pole = 3.076
x[1] = 1.191
y[1] (analytic) = 1.0162650130761785167534971261564
y[1] (numeric) = 1.0162650130761784909796211457286
absolute error = 2.57738759804278e-17
relative error = 2.5361372918282101903131204811389e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.192
y[1] (analytic) = 1.0168578980856066701941582911694
y[1] (numeric) = 1.0168578980856066444164436039365
absolute error = 2.57777146872329e-17
relative error = 2.5350360886967059792897946160318e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.193
y[1] (analytic) = 1.0174507485973517915202506228228
y[1] (numeric) = 1.0174507485973517657387057760319
absolute error = 2.57815448467909e-17
relative error = 2.5339354147936005452486367833679e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.194
y[1] (analytic) = 1.018043564637029387857314226653
y[1] (numeric) = 1.0180435646370293620719477453564
absolute error = 2.57853664812966e-17
relative error = 2.5328352711988359445537352970880e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.195
y[1] (analytic) = 1.0186363462302264465591665388707
y[1] (numeric) = 1.0186363462302264207699869259917
absolute error = 2.57891796128790e-17
relative error = 2.5317356589836698165540029339655e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.196
y[1] (analytic) = 1.019229093402501477529955169107
y[1] (numeric) = 1.0192290934025014517369709055054
absolute error = 2.57929842636016e-17
relative error = 2.5306365792107300431781628186790e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.197
y[1] (analytic) = 1.019821806179384555467734837808
y[1] (numeric) = 1.0198218061793845296709543823455
absolute error = 2.57967804554625e-17
relative error = 2.5295380329340496024100480022097e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.198
y[1] (analytic) = 1.020414484586377362029742960816
y[1] (numeric) = 1.0204144845863773362291747504216
absolute error = 2.58005682103944e-17
relative error = 2.5284400211990914961560359027707e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.199
y[1] (analytic) = 1.0210071286489532279195479808804
y[1] (numeric) = 1.0210071286489532021152004306152
absolute error = 2.58043475502652e-17
relative error = 2.5273425450428323526219773435888e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 14.87
Order of pole = 15.68
x[1] = 1.2
y[1] (analytic) = 1.0215997383925571748962440943854
y[1] (numeric) = 1.0215997383925571490881255975072
absolute error = 2.58081184968782e-17
relative error = 2.5262456054938065792782140571037e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.092
Order of pole = 1.648
memory used=133.5MB, alloc=4.4MB, time=16.60
x[1] = 1.201
y[1] (analytic) = 1.0221923138426059577058655714688
y[1] (numeric) = 1.0221923138426059318939844994971
absolute error = 2.58118810719717e-17
relative error = 2.5251492035720916607733617363438e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.202
y[1] (analytic) = 1.0227848550244881059351934189224
y[1] (numeric) = 1.0227848550244880801195581217022
absolute error = 2.58156352972202e-17
relative error = 2.5240533402894499395152983044915e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.203
y[1] (analytic) = 1.0233773619635639657881266878074
y[1] (numeric) = 1.0233773619635639399687454935738
absolute error = 2.58193811942336e-17
relative error = 2.5229580166492744683263308321194e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.141
Order of pole = 0.589
x[1] = 1.204
y[1] (analytic) = 1.0239698346851657417847902815921
y[1] (numeric) = 1.0239698346851657159616714970336
absolute error = 2.58231187845585e-17
relative error = 2.5218632336467401312514069711025e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.205
y[1] (analytic) = 1.024562273214597538383550675804
y[1] (numeric) = 1.0245622732145975125567025861267
absolute error = 2.58268480896773e-17
relative error = 2.5207689922687395102098833734972e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.206
y[1] (analytic) = 1.0251546775771354015261105166971
y[1] (numeric) = 1.0251546775771353756955413856881
absolute error = 2.58305691310090e-17
relative error = 2.5196752934939847987192363182617e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.207
y[1] (analytic) = 1.025747047798027360105852624247
y[1] (numeric) = 1.0257470477980273342715706943375
absolute error = 2.58342819299095e-17
relative error = 2.5185821382930606135766290960695e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.019
Order of pole = 0.7781
x[1] = 1.208
y[1] (analytic) = 1.0263393839024934673596034839105
y[1] (numeric) = 1.0263393839024934415216169762388
absolute error = 2.58379865076717e-17
relative error = 2.5174895276284571330428069808327e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.209
y[1] (analytic) = 1.0269316859157258421829858720098
y[1] (numeric) = 1.0269316859157258163413029864843
absolute error = 2.58416828855255e-17
relative error = 2.5163974624545933787471353632337e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.21
y[1] (analytic) = 1.0275239538628887103695298213238
y[1] (numeric) = 1.0275239538628886845241587366857
absolute error = 2.58453710846381e-17
relative error = 2.5153059437178696096444910152171e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 10.41
Order of pole = 7.873
x[1] = 1.211
y[1] (analytic) = 1.0281161877691184457737106964843
y[1] (numeric) = 1.0281161877691184199246595703697
absolute error = 2.58490511261146e-17
relative error = 2.5142149723567487106590847100715e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.212
y[1] (analytic) = 1.0287083876595236113980827130796
y[1] (numeric) = 1.028708387659523585545359682082
absolute error = 2.58527230309976e-17
relative error = 2.5131245493017400871558534403614e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.213
y[1] (analytic) = 1.0293005535591850004046757999584
y[1] (numeric) = 1.0293005535591849745482889796908
absolute error = 2.58563868202676e-17
relative error = 2.5120346754754613339624762760104e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.4952
Order of pole = 0.5167
x[1] = 1.214
y[1] (analytic) = 1.0298926854931556770508232710983
y[1] (numeric) = 1.0298926854931556511907807562546
absolute error = 2.58600425148437e-17
relative error = 2.5109453517927288171767519643667e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.215
y[1] (analytic) = 1.0304847834864610175495873415467
y[1] (numeric) = 1.0304847834864609916858972059637
absolute error = 2.58636901355830e-17
relative error = 2.5098565791605217857914221726348e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.438
Order of pole = 0.6403
x[1] = 1.216
y[1] (analytic) = 1.0310768475640987508549490913672
y[1] (numeric) = 1.0310768475640987249876193880857
absolute error = 2.58673297032815e-17
relative error = 2.5087683584780920823044018225885e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.6215
Order of pole = 0.5262
x[1] = 1.217
y[1] (analytic) = 1.0316688777510389993719290522058
y[1] (numeric) = 1.0316688777510389735009678135322
absolute error = 2.58709612386736e-17
relative error = 2.5076806906369377694813665321805e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.218
y[1] (analytic) = 1.0322608740722243195918041630482
y[1] (numeric) = 1.0322608740722242937172194006148
absolute error = 2.58745847624334e-17
relative error = 2.5065935765209512188123361879296e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.219
y[1] (analytic) = 1.0328528365525697426525864149442
y[1] (numeric) = 1.0328528365525697167743861197707
absolute error = 2.58782002951735e-17
relative error = 2.5055070170063246381002973210706e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.22
y[1] (analytic) = 1.0334447652169628148249280789488
y[1] (numeric) = 1.0334447652169627889431202215026
absolute error = 2.58818078574462e-17
relative error = 2.5044210129616881532329736548451e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.221
y[1] (analytic) = 1.0340366600902636379236179872408
y[1] (numeric) = 1.0340366600902636120382105174973
absolute error = 2.58854074697435e-17
relative error = 2.5033355652481313621290052710875e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.222
y[1] (analytic) = 1.0346285211973049096448329143486
y[1] (numeric) = 1.0346285211973048837558337618515
absolute error = 2.58889991524971e-17
relative error = 2.5022506747192248112361877882724e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.223
y[1] (analytic) = 1.0352203485628919638293076836201
y[1] (numeric) = 1.0352203485628919379367247575413
absolute error = 2.58925829260788e-17
relative error = 2.5011663422210800340290548597769e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.224
y[1] (analytic) = 1.0358121422118028106515872035194
y[1] (numeric) = 1.0358121422118027847554283927189
absolute error = 2.58961588108005e-17
relative error = 2.5000825685923707632219436932909e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.225
y[1] (analytic) = 1.0364039021687881767355232190167
y[1] (numeric) = 1.0364039021687881508357963921023
absolute error = 2.58997268269144e-17
relative error = 2.4989993546643733644134343272419e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.119
Order of pole = 0.5843
x[1] = 1.226
y[1] (analytic) = 1.0369956284585715451961781452493
y[1] (numeric) = 1.0369956284585715192928911506358
absolute error = 2.59032869946135e-17
relative error = 2.4979167012610360576480526698064e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.963
Order of pole = 1.557
x[1] = 1.227
y[1] (analytic) = 1.0375873211058491956082979337714
y[1] (numeric) = 1.0375873211058491697014585997396
absolute error = 2.59068393340318e-17
relative error = 2.4968346091990189855542046584479e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.228
y[1] (analytic) = 1.0381789801352902439015155060718
y[1] (numeric) = 1.0381789801352902179911316408279
absolute error = 2.59103838652439e-17
relative error = 2.4957530792876763476613752088443e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.229
y[1] (analytic) = 1.0387706055715366821824458746213
y[1] (numeric) = 1.0387706055715366562685252663557
absolute error = 2.59139206082656e-17
relative error = 2.4946721123291348601324084778873e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.23
y[1] (analytic) = 1.0393621974392034184838336585051
y[1] (numeric) = 1.0393621974392033925663840754508
absolute error = 2.59174495830543e-17
relative error = 2.4935917091183527016927614189977e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.2
Order of pole = 2.314
x[1] = 1.231
y[1] (analytic) = 1.0399537557628783164409132887015
y[1] (numeric) = 1.0399537557628782905199424791926
absolute error = 2.59209708095089e-17
relative error = 2.4925118704431301760791787049986e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.232
y[1] (analytic) = 1.0405452805671222348951417872829
y[1] (numeric) = 1.0405452805671222089706574798128
absolute error = 2.59244843074701e-17
relative error = 2.4914325970841587763014258840561e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=137.3MB, alloc=4.4MB, time=17.09
x[1] = 1.233
y[1] (analytic) = 1.0411367718764690674254635952282
y[1] (numeric) = 1.0411367718764690414974734985077
absolute error = 2.59279900967205e-17
relative error = 2.4903538898150508686955468631754e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.649
Order of pole = 1.391
x[1] = 1.234
y[1] (analytic) = 1.041728229715425781807266515151
y[1] (numeric) = 1.0417282297154257558757783181663
absolute error = 2.59314881969847e-17
relative error = 2.4892757494023692726963058235037e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.205
Order of pole = 1.187
x[1] = 1.235
y[1] (analytic) = 1.0423196541084724593991874280572
y[1] (numeric) = 1.0423196541084724334642088001272
absolute error = 2.59349786279300e-17
relative error = 2.4881981766057143006832378752570e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.236
y[1] (analytic) = 1.0429110450800623344579260372427
y[1] (numeric) = 1.0429110450800623085194646280767
absolute error = 2.59384614091660e-17
relative error = 2.4871211721777050245696837264310e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.237
y[1] (analytic) = 1.0435024026546218333812244876329
y[1] (numeric) = 1.0435024026546218074392879273879
absolute error = 2.59419365602450e-17
relative error = 2.4860447368640372679145209297314e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.238
y[1] (analytic) = 1.0440937268565506138791703052316
y[1] (numeric) = 1.0440937268565505879337662045693
absolute error = 2.59454041006623e-17
relative error = 2.4849688714035318202157991014173e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.239
y[1] (analytic) = 1.044685017710221604073979698896
y[1] (numeric) = 1.0446850177102215781251156490399
absolute error = 2.59488640498561e-17
relative error = 2.4838935765281441953801152099155e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.24
y[1] (analytic) = 1.0452762752399810415284178653819
y[1] (numeric) = 1.0452762752399810155761014381736
absolute error = 2.59523164272083e-17
relative error = 2.4828188529630604557053904039688e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.241
y[1] (analytic) = 1.0458674994701485122030125384926
y[1] (numeric) = 1.0458674994701484862472512864488
absolute error = 2.59557612520438e-17
relative error = 2.4817447014266492862462984607941e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.242
y[1] (analytic) = 1.0464586904250169893422166242348
y[1] (numeric) = 1.0464586904250169633830180806035
absolute error = 2.59591985436313e-17
relative error = 2.4806711226305575692733592427742e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.8295
Order of pole = 0.5458
x[1] = 1.243
y[1] (analytic) = 1.0470498481288528722896753661062
y[1] (numeric) = 1.0470498481288528463270470449225
absolute error = 2.59626283211837e-17
relative error = 2.4795981172797674294342007743705e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.244
y[1] (analytic) = 1.0476409726058960252327530880273
y[1] (numeric) = 1.04764097260589599926670248417
absolute error = 2.59660506038573e-17
relative error = 2.4785256860725385398265681135192e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.245
y[1] (analytic) = 1.0482320638803598158764741669755
y[1] (numeric) = 1.0482320638803597899070087562225
absolute error = 2.59694654107530e-17
relative error = 2.4774538297005414178428594493212e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.539
Order of pole = 0.9279
x[1] = 1.246
y[1] (analytic) = 1.0488231219764311540470324930697
y[1] (numeric) = 1.0488231219764311280741597321537
absolute error = 2.59728727609160e-17
relative error = 2.4763825488488472499697956821412e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.247
y[1] (analytic) = 1.0494141469182705302250232817016
y[1] (numeric) = 1.0494141469182705042487506083654
absolute error = 2.59762726733362e-17
relative error = 2.4753118441959844520314605507000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.248
y[1] (analytic) = 1.0500051387300120540085507102942
y[1] (numeric) = 1.0500051387300120280288855433462
absolute error = 2.59796651669480e-17
relative error = 2.4742417164139378930229760079241e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.249
y[1] (analytic) = 1.0505960974357634925063644614016
y[1] (numeric) = 1.0505960974357634665233142007709
absolute error = 2.59830502606307e-17
relative error = 2.4731721661682052292080922684719e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.25
y[1] (analytic) = 1.0511870230596063086611778641268
y[1] (numeric) = 1.0511870230596062826747498909175
absolute error = 2.59864279732093e-17
relative error = 2.4721031941178910976425983572436e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.251
y[1] (analytic) = 1.0517779156255956995033199372351
y[1] (numeric) = 1.0517779156255956735135216137819
absolute error = 2.59897983234532e-17
relative error = 2.4710348009156013275142380857140e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.252
y[1] (analytic) = 1.052368775157760634334873249875
y[1] (numeric) = 1.052368775157760608341711919797
absolute error = 2.59931613300780e-17
relative error = 2.4699669872076320786997202587424e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.349
Order of pole = 0.8642
x[1] = 1.253
y[1] (analytic) = 1.052959601680103892844449129467
y[1] (numeric) = 1.0529596016801038668479321177225
absolute error = 2.59965170117445e-17
relative error = 2.4688997536338924236760802106511e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.254
y[1] (analytic) = 1.0535503952166021031527513611066
y[1] (numeric) = 1.0535503952166020771528859740469
absolute error = 2.59998653870597e-17
relative error = 2.4678331008280170215594438713822e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.255
y[1] (analytic) = 1.0541411557912057797890791387202
y[1] (numeric) = 1.054141155791205753785872664144
absolute error = 2.60032064745762e-17
relative error = 2.4667670294173266282653329913771e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.256
y[1] (analytic) = 1.054731883427839361598919645229
y[1] (numeric) = 1.0547318834278393355923793524357
absolute error = 2.60065402927933e-17
relative error = 2.4657015400229499151521411734694e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.977
Order of pole = 1.083
x[1] = 1.257
y[1] (analytic) = 1.0553225781504012495827802570958
y[1] (numeric) = 1.0553225781504012235729133969398
absolute error = 2.60098668601560e-17
relative error = 2.4646366332597458846277405302993e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.258
y[1] (analytic) = 1.0559132399827638446664099878673
y[1] (numeric) = 1.055913239982763818653223792811
absolute error = 2.60131861950563e-17
relative error = 2.4635723097364443645068305809957e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.259
y[1] (analytic) = 1.0565038689487735854025594056543
y[1] (numeric) = 1.0565038689487735593860610898216
absolute error = 2.60164983158327e-17
relative error = 2.4625085700556156552602454826000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.26
y[1] (analytic) = 1.0570944650722509856044278809346
y[1] (numeric) = 1.0570944650722509595846246401639
absolute error = 2.60198032407707e-17
relative error = 2.4614454148137348754051113375294e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.261
y[1] (analytic) = 1.0576850283769906719109466435946
y[1] (numeric) = 1.0576850283769906458878456554917
absolute error = 2.60231009881029e-17
relative error = 2.4603828446012082703468354971401e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.475
Order of pole = 0.6427
x[1] = 1.262
y[1] (analytic) = 1.0582755588867614212840457517536
y[1] (numeric) = 1.0582755588867613952576541757448
absolute error = 2.60263915760088e-17
relative error = 2.4593208600023710826276077642503e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.263
y[1] (analytic) = 1.0588660566253061984380526996332
y[1] (numeric) = 1.0588660566253061724083776770174
absolute error = 2.60296750226158e-17
relative error = 2.4582594615955987555949021139031e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.264
y[1] (analytic) = 1.0594565216163421932013700175361
y[1] (numeric) = 1.0594565216163421671684186715378
absolute error = 2.60329513459983e-17
relative error = 2.4571986499532384254930415838641e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=141.1MB, alloc=4.4MB, time=17.57
x[1] = 1.265
y[1] (analytic) = 1.060046953883560857810578843889
y[1] (numeric) = 1.0600469538835608317743582797101
absolute error = 2.60362205641789e-17
relative error = 2.4561384256417387445086696027169e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.266
y[1] (analytic) = 1.0606373534506279441371150772651
y[1] (numeric) = 1.0606373534506279180976323821373
absolute error = 2.60394826951278e-17
relative error = 2.4550787892216095584919762923058e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.577
Order of pole = 0.9339
x[1] = 1.267
y[1] (analytic) = 1.0612277203411835408466643453494
y[1] (numeric) = 1.0612277203411835148039265885859
absolute error = 2.60427377567635e-17
relative error = 2.4540197412475042165064831491111e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.268
y[1] (analytic) = 1.0618180545788421104914216579197
y[1] (numeric) = 1.0618180545788420844454358909671
absolute error = 2.60459857669526e-17
relative error = 2.4529612822682168431260460339115e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.269
y[1] (analytic) = 1.0624083561871925265353612421015
y[1] (numeric) = 1.0624083561871925004861344985913
absolute error = 2.60492267435102e-17
relative error = 2.4519034128267360929268598616197e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.27
y[1] (analytic) = 1.0629986251897981103126616904035
y[1] (numeric) = 1.0629986251897980842602009862036
absolute error = 2.60524607041999e-17
relative error = 2.4508461334602610941309063209944e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.271
y[1] (analytic) = 1.0635888616101966679194311853498
y[1] (numeric) = 1.0635888616101966418637435186157
absolute error = 2.60556876667341e-17
relative error = 2.4497894447002455432256699258943e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.272
y[1] (analytic) = 1.0641790654719005270388771988937
y[1] (numeric) = 1.0641790654719005009799695501197
absolute error = 2.60589076487740e-17
relative error = 2.4487333470724134597957480847349e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.273
y[1] (analytic) = 1.0647692367983965737000647002242
y[1] (numeric) = 1.0647692367983965476379440322941
absolute error = 2.60621206679301e-17
relative error = 2.4476778410968218452047068943718e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.192
Order of pole = 0.8125
x[1] = 1.274
y[1] (analytic) = 1.0653593756131462889704065420474
y[1] (numeric) = 1.0653593756131462629050798002854
absolute error = 2.60653267417620e-17
relative error = 2.4466229272878574252219232760670e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.275
y[1] (analytic) = 1.0659494819395857855820293329528
y[1] (numeric) = 1.0659494819395857595135034451741
absolute error = 2.60685258877787e-17
relative error = 2.4455686061542803077660882517821e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.276
y[1] (analytic) = 1.0665395558011258444921577420414
y[1] (numeric) = 1.0665395558011258184204396186025
absolute error = 2.60717181234389e-17
relative error = 2.4445148781992674934864161754017e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.277
y[1] (analytic) = 1.0671295972211519513776598216003
y[1] (numeric) = 1.0671295972211519253027563554496
absolute error = 2.60749034661507e-17
relative error = 2.4434617439204000141843538633167e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.278
y[1] (analytic) = 1.0677196062230243330638955742611
y[1] (numeric) = 1.0677196062230243069858136409886
absolute error = 2.60780819332725e-17
relative error = 2.4424092038097625007470430590974e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.279
y[1] (analytic) = 1.0683095828300779938880106327563
y[1] (numeric) = 1.0683095828300779678067570906436
absolute error = 2.60812535421127e-17
relative error = 2.4413572583539300919811800600426e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.28
y[1] (analytic) = 1.0688995270656227519968165631058
y[1] (numeric) = 1.0688995270656227259123982531762
absolute error = 2.60844183099296e-17
relative error = 2.4403059080339740954911286720196e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.281
y[1] (analytic) = 1.0694894389529432755793989458065
y[1] (numeric) = 1.0694894389529432494918226918743
absolute error = 2.60875762539322e-17
relative error = 2.4392551533255517799849648269356e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.282
y[1] (analytic) = 1.070079318515299119034594034363
y[1] (numeric) = 1.0700793185152990929438666430829
absolute error = 2.60907273912801e-17
relative error = 2.4382049946989117625446002229261e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.283
y[1] (analytic) = 1.0706691657759247590734744362864
y[1] (numeric) = 1.0706691657759247329796026972032
absolute error = 2.60938717390832e-17
relative error = 2.4371554326188806960930696416201e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.284
y[1] (analytic) = 1.0712589807580296307569839084951
y[1] (numeric) = 1.0712589807580296046599745940925
absolute error = 2.60970093144026e-17
relative error = 2.4361064675449620164884797875532e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.121
Order of pole = 3.771
x[1] = 1.285
y[1] (analytic) = 1.071848763484798163468861006869
y[1] (numeric) = 1.0718487634847981373687208726187
absolute error = 2.61001401342503e-17
relative error = 2.4350580999313224054290583523013e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.286
y[1] (analytic) = 1.0724385139793898168239909785438
y[1] (numeric) = 1.0724385139793897907207267629541
absolute error = 2.61032642155897e-17
relative error = 2.4340103302268528923405240983939e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.287
y[1] (analytic) = 1.0730282322649391165123249353699
y[1] (numeric) = 1.0730282322649390904059433600348
absolute error = 2.61063815753351e-17
relative error = 2.4329631588751365585510391982586e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.288
y[1] (analytic) = 1.073617918364555690078504997808
y[1] (numeric) = 1.0736179183645556639690127674553
absolute error = 2.61094922303527e-17
relative error = 2.4319165863145560604016808632275e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.267
Order of pole = 0.6033
x[1] = 1.289
y[1] (analytic) = 1.0742075723013243026373337503771
y[1] (numeric) = 1.0742075723013242765247375529169
absolute error = 2.61125961974602e-17
relative error = 2.4308706129782704675840198096622e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.29
y[1] (analytic) = 1.0747971940983048925252260026192
y[1] (numeric) = 1.0747971940983048664095325091922
absolute error = 2.61156934934270e-17
relative error = 2.4298252392942480002381708828853e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.291
y[1] (analytic) = 1.0753867837785326068877805033841
y[1] (numeric) = 1.0753867837785325807689963684095
absolute error = 2.61187841349746e-17
relative error = 2.4287804656853172543519092493785e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.292
y[1] (analytic) = 1.0759763413650178372036089110696
y[1] (numeric) = 1.0759763413650178110817407722929
absolute error = 2.61218681387767e-17
relative error = 2.4277362925691903751494162393740e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.293
y[1] (analytic) = 1.0765658668807462547445589782754
y[1] (numeric) = 1.0765658668807462286196134568165
absolute error = 2.61249455214589e-17
relative error = 2.4266927203584489972380479096242e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.294
y[1] (analytic) = 1.0771553603486788459724685661362
y[1] (numeric) = 1.0771553603486788198444522665364
absolute error = 2.61280162995998e-17
relative error = 2.4256497494606602009803390797573e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.295
y[1] (analytic) = 1.0777448217917519478725867613856
y[1] (numeric) = 1.0777448217917519217415062716556
absolute error = 2.61310804897300e-17
relative error = 2.4246073802782972351099875623232e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.296
y[1] (analytic) = 1.0783342512328772832237980279782
y[1] (numeric) = 1.078334251232877257089659919645
absolute error = 2.61341381083332e-17
relative error = 2.4235656132088552423077060126871e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=144.9MB, alloc=4.4MB, time=18.06
x[1] = 1.297
y[1] (analytic) = 1.0789236486949419958057849848343
y[1] (numeric) = 1.0789236486949419696685958129885
absolute error = 2.61371891718458e-17
relative error = 2.4225244486448275761311838923568e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.298
y[1] (analytic) = 1.0795130142008086855432650619964
y[1] (numeric) = 1.0795130142008086594030313653391
absolute error = 2.61402336966573e-17
relative error = 2.4214838869737563011839742153110e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.584
Order of pole = 1.32
x[1] = 1.299
y[1] (analytic) = 1.0801023477733154435874359491707
y[1] (numeric) = 1.0801023477733154174441642500602
absolute error = 2.61432716991105e-17
relative error = 2.4204439285782640093577943413484e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.3
y[1] (analytic) = 1.0806916494352758873347644132833
y[1] (numeric) = 1.080691649435275861188461217782
absolute error = 2.61463031955013e-17
relative error = 2.4194045738360485168343578424420e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.301
y[1] (analytic) = 1.0812809192094791953832527252992
y[1] (numeric) = 1.0812809192094791692339245232199
absolute error = 2.61493282020793e-17
relative error = 2.4183658231199515629577801378658e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.302
y[1] (analytic) = 1.08187015711869014242631660113
y[1] (numeric) = 1.0818701571186901162739698660825
absolute error = 2.61523467350475e-17
relative error = 2.4173276767979440935348538237203e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.303
y[1] (analytic) = 1.0824593631856491340844082269947
y[1] (numeric) = 1.0824593631856491079290494164318
absolute error = 2.61553588105629e-17
relative error = 2.4162901352331947344403539916334e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.304
y[1] (analytic) = 1.0830485374330722416745176060874
y[1] (numeric) = 1.0830485374330722155161531613509
absolute error = 2.61583644447365e-17
relative error = 2.4152531987840826407866040540033e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.305
y[1] (analytic) = 1.083637679883651236917685130848
y[1] (numeric) = 1.0836376798836512107563214772151
absolute error = 2.61613636536329e-17
relative error = 2.4142168678041733897454322977328e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.695
Order of pole = 2.561
x[1] = 1.306
y[1] (analytic) = 1.0842267905600536265846579535248
y[1] (numeric) = 1.0842267905600536004203015002532
absolute error = 2.61643564532716e-17
relative error = 2.4131811426423517440086885662165e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.307
y[1] (analytic) = 1.0848158694849226870798223970494
y[1] (numeric) = 1.0848158694849226609124795374235
absolute error = 2.61673428596259e-17
relative error = 2.4121460236427327452620968540646e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.627
Order of pole = 1.335
x[1] = 1.308
y[1] (analytic) = 1.0854049166808774989635443185281
y[1] (numeric) = 1.0854049166808774727932214299042
absolute error = 2.61703228886239e-17
relative error = 2.4111115111447665716759471752586e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.309
y[1] (analytic) = 1.0859939321705129814130490088658
y[1] (numeric) = 1.0859939321705129552397524527174
absolute error = 2.61732965561484e-17
relative error = 2.4100776054832417627654206223066e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.048
Order of pole = 0.7659
x[1] = 1.31
y[1] (analytic) = 1.0865829159763999266219718841956
y[1] (numeric) = 1.0865829159763999004457080061589
absolute error = 2.61762638780367e-17
relative error = 2.4090443069882792289510322838609e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.311
y[1] (analytic) = 1.0871718681210850341387108978732
y[1] (numeric) = 1.0871718681210850079594860277917
absolute error = 2.61792248700815e-17
relative error = 2.4080116159854274589010908064556e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.312
y[1] (analytic) = 1.0877607886270909451437112758102
y[1] (numeric) = 1.0877607886270909189615317277798
absolute error = 2.61821795480304e-17
relative error = 2.4069795327956287111883100902187e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.313
y[1] (analytic) = 1.0883496775169162766658128528678
y[1] (numeric) = 1.0883496775169162504806849252817
absolute error = 2.61851279275861e-17
relative error = 2.4059480577352496316715961374733e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.314
y[1] (analytic) = 1.0889385348130356557377899638982
y[1] (numeric) = 1.0889385348130356295497199394915
absolute error = 2.61880700244067e-17
relative error = 2.4049171911161209531830385682337e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.51
Order of pole = 0.644
x[1] = 1.315
y[1] (analytic) = 1.0895273605378997534912135198122
y[1] (numeric) = 1.0895273605378997273002076657061
absolute error = 2.61910058541061e-17
relative error = 2.4038869332455862431820435511983e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.316
y[1] (analytic) = 1.0901161547139353191907645767589
y[1] (numeric) = 1.0901161547139352929968291445052
absolute error = 2.61939354322537e-17
relative error = 2.4028572844264862785191996465182e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.317
y[1] (analytic) = 1.0907049173635452142081283851268
y[1] (numeric) = 1.0907049173635451880112696107522
absolute error = 2.61968587743746e-17
relative error = 2.4018282449571893111726987447480e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.318
y[1] (analytic) = 1.091293648509108445935597584614
y[1] (numeric) = 1.0912936485091084197358216886639
absolute error = 2.61997758959501e-17
relative error = 2.4007998151316487247764648761741e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.876
Order of pole = 0.7216
x[1] = 1.319
y[1] (analytic) = 1.0918823481729802016395128920564
y[1] (numeric) = 1.0918823481729801754368260796391
absolute error = 2.62026868124173e-17
relative error = 2.3997719952393780766337988351080e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.32
y[1] (analytic) = 1.0924710163774918822536693100606
y[1] (numeric) = 1.0924710163774918560480777708907
absolute error = 2.62055915391699e-17
relative error = 2.3987447855655360616456770355037e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.883
Order of pole = 1.023
x[1] = 1.321
y[1] (analytic) = 1.093059653144951136112815566739
y[1] (numeric) = 1.0930596531449511099043254751815
absolute error = 2.62084900915575e-17
relative error = 2.3977181863908739707221478989426e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.322
y[1] (analytic) = 1.093648258497641892626374180007
y[1] (numeric) = 1.0936482584976418664149916951203
absolute error = 2.62113824848867e-17
relative error = 2.3966921979918479041261108086254e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.323
y[1] (analytic) = 1.0942368324578243958925092239524
y[1] (numeric) = 1.0942368324578243696782404895321
absolute error = 2.62142687344203e-17
relative error = 2.3956668206405569841762635452195e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.127
Order of pole = 1.569
x[1] = 1.324
y[1] (analytic) = 1.0948253750477352382526685597419
y[1] (numeric) = 1.0948253750477352120355197043636
absolute error = 2.62171488553783e-17
relative error = 2.3946420546048461755771580584904e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.086
Order of pole = 1.547
x[1] = 1.325
y[1] (analytic) = 1.0954138862895873937867269793684
y[1] (numeric) = 1.095413886289587367566704116431
absolute error = 2.62200228629374e-17
relative error = 2.3936179001482718382983907733173e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.326
y[1] (analytic) = 1.096002366205570251748856397278
y[1] (numeric) = 1.0960023662055702255259656250467
absolute error = 2.62228907722313e-17
relative error = 2.3925943575301403825524549193955e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.327
y[1] (analytic) = 1.0965908148178496499442489125329
y[1] (numeric) = 1.0965908148178496237184963141818
absolute error = 2.62257525983511e-17
relative error = 2.3915714270055559170558930589320e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.328
y[1] (analytic) = 1.0971792321485679080468182526694
y[1] (numeric) = 1.0971792321485678818182098963244
absolute error = 2.62286083563450e-17
relative error = 2.3905491088254039425881368366979e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=148.7MB, alloc=4.4MB, time=18.54
x[1] = 1.329
y[1] (analytic) = 1.0977676182198438608580047997938
y[1] (numeric) = 1.0977676182198438346265467385749
absolute error = 2.62314580612189e-17
relative error = 2.3895274032364170811663562798687e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.348
Order of pole = 3.018
x[1] = 1.33
y[1] (analytic) = 1.0983559730537728915068090897212
y[1] (numeric) = 1.0983559730537728652725073617849
absolute error = 2.62343017279363e-17
relative error = 2.3885063104811768609585071288137e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.077
Order of pole = 2.109
x[1] = 1.331
y[1] (analytic) = 1.0989442966724269645911783660993
y[1] (numeric) = 1.0989442966724269383540389946811
absolute error = 2.62371393714182e-17
relative error = 2.3874858307981154941014185207105e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.332
y[1] (analytic) = 1.09953258909785465926087046347
y[1] (numeric) = 1.0995325890978546330208994569264
absolute error = 2.62399710065436e-17
relative error = 2.3864659644215722160954180107126e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.9836
Order of pole = 0.5603
x[1] = 1.333
y[1] (analytic) = 1.1001208503520812022419189860999
y[1] (numeric) = 1.1001208503520811759991223379502
absolute error = 2.62427966481497e-17
relative error = 2.3854467115818221733568997242376e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.879
Order of pole = 2.653
x[1] = 1.334
y[1] (analytic) = 1.1007090804571085008028234431594
y[1] (numeric) = 1.1007090804571084745572071321279
absolute error = 2.62456163110315e-17
relative error = 2.3844280725050507065000774537023e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.335
y[1] (analytic) = 1.1012972794349151756625876954412
y[1] (numeric) = 1.1012972794349151494141576854985
absolute error = 2.62484300099427e-17
relative error = 2.3834100474134457573223558018925e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.336
y[1] (analytic) = 1.1018854473074565938407297642802
y[1] (numeric) = 1.1018854473074565675894920046853
absolute error = 2.62512377595949e-17
relative error = 2.3823926365251356975066265847989e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.62
Order of pole = 0.9266
x[1] = 1.337
y[1] (analytic) = 1.1024735840966649014493857496725
y[1] (numeric) = 1.102473584096664875195346175014
absolute error = 2.62540395746585e-17
relative error = 2.3813758400542815537494136202776e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.338
y[1] (analytic) = 1.1030616898244490564276303017742
y[1] (numeric) = 1.1030616898244490301707948320114
absolute error = 2.62568354697628e-17
relative error = 2.3803596582110964111540864113241e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.339
y[1] (analytic) = 1.1036497645126948612181357880058
y[1] (numeric) = 1.1036497645126948349585103285103
absolute error = 2.62596254594955e-17
relative error = 2.3793440912018103882556499162842e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.34
y[1] (analytic) = 1.1042378081832649953862919968797
y[1] (numeric) = 1.1042378081832649691238824384764
absolute error = 2.62624095584033e-17
relative error = 2.3783291392287353389299653483924e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.5426
Order of pole = 0.5183
x[1] = 1.341
y[1] (analytic) = 1.1048258208579990481819079194074
y[1] (numeric) = 1.1048258208579990219167201384151
absolute error = 2.62651877809923e-17
relative error = 2.3773148024903112440244676159957e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.342
y[1] (analytic) = 1.1054138025587135510436168495279
y[1] (numeric) = 1.1054138025587135247756567078005
absolute error = 2.62679601417274e-17
relative error = 2.3763010811810619898380306409596e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.343
y[1] (analytic) = 1.106001753307202010046105746431
y[1] (numeric) = 1.106001753307201983775379091398
absolute error = 2.62707266550330e-17
relative error = 2.3752879754916688269395664990517e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.856
Order of pole = 1.005
x[1] = 1.344
y[1] (analytic) = 1.106589673125234938290289503912
y[1] (numeric) = 1.106589673125234912016802168619
absolute error = 2.62734873352930e-17
relative error = 2.3742754856089803361788757651704e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.345
y[1] (analytic) = 1.1071775620345598882365504750038
y[1] (numeric) = 1.1071775620345598619603082781532
absolute error = 2.62762421968506e-17
relative error = 2.3732636117160042978031583058759e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.01
Order of pole = 1.493
x[1] = 1.346
y[1] (analytic) = 1.1077654200569014839811633040728
y[1] (numeric) = 1.1077654200569014577021720500635
absolute error = 2.62789912540093e-17
relative error = 2.3722523539920079114584086059962e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.532
Order of pole = 0.6449
x[1] = 1.347
y[1] (analytic) = 1.1083532472139614534760248233329
y[1] (numeric) = 1.1083532472139614271942903023013
absolute error = 2.62817345210316e-17
relative error = 2.3712417126124101810173795381245e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.348
y[1] (analytic) = 1.1089410435274186606918084763414
y[1] (numeric) = 1.1089410435274186344073364642009
absolute error = 2.62844720121405e-17
relative error = 2.3702316877489271336476055222137e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.349
y[1] (analytic) = 1.1095288090189291377246624374612
y[1] (numeric) = 1.1095288090189291114374586959419
absolute error = 2.62872037415193e-17
relative error = 2.3692222795695633579260122142240e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.35
y[1] (analytic) = 1.1101165437101261168465703035315
y[1] (numeric) = 1.1101165437101260905566405802206
absolute error = 2.62899297233109e-17
relative error = 2.3682134882385585273937148596638e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.351
y[1] (analytic) = 1.1107042476226200624994929420636
y[1] (numeric) = 1.1107042476226200362068429704447
absolute error = 2.62926499716189e-17
relative error = 2.3672053139164961521031974196080e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.914
Order of pole = 1.022
x[1] = 1.352
y[1] (analytic) = 1.1112919207779987032334097891685
y[1] (numeric) = 1.1112919207779986769380452886613
absolute error = 2.62953645005072e-17
relative error = 2.3661977567602770059254109288700e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.353
y[1] (analytic) = 1.1118795631978270635883776001372
y[1] (numeric) = 1.1118795631978270372903042761366
absolute error = 2.62980733240006e-17
relative error = 2.3651908169231825748216318262183e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.354
y[1] (analytic) = 1.112467174903647495920724366114
y[1] (numeric) = 1.1124671749036474696199479100298
absolute error = 2.63007764560842e-17
relative error = 2.3641844945548304345750736439446e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.355
y[1] (analytic) = 1.1130547559169797121734958216427
y[1] (numeric) = 1.1130547559169796858700219109384
absolute error = 2.63034739107043e-17
relative error = 2.3631787898012645330404489089412e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.356
y[1] (analytic) = 1.1136423062593208155912716800046
y[1] (numeric) = 1.1136423062593207892851059782367
absolute error = 2.63061657017679e-17
relative error = 2.3621737028049194718904420669700e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.357
y[1] (analytic) = 1.1142298259521453323794684462216
y[1] (numeric) = 1.1142298259521453060706166030785
absolute error = 2.63088518431431e-17
relative error = 2.3611692337046656735921570685728e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.358
y[1] (analytic) = 1.114817315016905243308245371348
y[1] (numeric) = 1.1148173150169052169967130226886
absolute error = 2.63115323486594e-17
relative error = 2.3601653826358454344233458534032e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.359
y[1] (analytic) = 1.1154047734750300152611298262305
y[1] (numeric) = 1.115404773475029988946922594123
absolute error = 2.63142072321075e-17
relative error = 2.3591621497302640357359783567483e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.36
y[1] (analytic) = 1.1159922013479266327284780882695
y[1] (numeric) = 1.1159922013479266064116015810301
absolute error = 2.63168765072394e-17
relative error = 2.3581595351162077641709832648049e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=152.5MB, alloc=4.4MB, time=19.02
x[1] = 1.361
y[1] (analytic) = 1.1165795986569796292458872508642
y[1] (numeric) = 1.1165795986569796029263470630952
absolute error = 2.63195401877690e-17
relative error = 2.3571575389185066535732739139686e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.362
y[1] (analytic) = 1.117166965423551118777673682165
y[1] (numeric) = 1.1171669654235510924554753947935
absolute error = 2.63221982873715e-17
relative error = 2.3561561612584896133981707913930e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.363
y[1] (analytic) = 1.1177543016689808270455331774942
y[1] (numeric) = 1.1177543016689808007206823578099
absolute error = 2.63248508196843e-17
relative error = 2.3551554022540738952426668161702e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.364
y[1] (analytic) = 1.1183416074145861228024976683148
y[1] (numeric) = 1.1183416074145860964749998700084
absolute error = 2.63274977983064e-17
relative error = 2.3541552620197201492872170561744e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.365
y[1] (analytic) = 1.118928882681662049052303069939
y[1] (numeric) = 1.11892888268166202272216383314
absolute error = 2.63301392367990e-17
relative error = 2.3531557406664948667203026172507e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.366
y[1] (analytic) = 1.1195161274914813542142825702582
y[1] (numeric) = 1.1195161274914813278815074215725
absolute error = 2.63327751486857e-17
relative error = 2.3521568383020968949265526248918e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 8.064
Order of pole = 4.459
x[1] = 1.367
y[1] (analytic) = 1.1201033418652945232338993826507
y[1] (numeric) = 1.1201033418652944968984938351988
absolute error = 2.63354055474519e-17
relative error = 2.3511585550308124463288332959412e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.368
y[1] (analytic) = 1.1206905258243298086390327078765
y[1] (numeric) = 1.1206905258243297823010022613307
absolute error = 2.63380304465458e-17
relative error = 2.3501608909536130168400143891914e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.369
y[1] (analytic) = 1.1212776793897932615421303721944
y[1] (numeric) = 1.1212776793897932352014805128166
absolute error = 2.63406498593778e-17
relative error = 2.3491638461681103013424713515262e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.37
y[1] (analytic) = 1.1218648025828687625883413321425
y[1] (numeric) = 1.1218648025828687362450775328213
absolute error = 2.63432637993212e-17
relative error = 2.3481674207686271283037662044926e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.371
y[1] (analytic) = 1.1224518954247180528497409603943
y[1] (numeric) = 1.1224518954247180265038686806822
absolute error = 2.63458722797121e-17
relative error = 2.3471716148461968982985601458997e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.372
y[1] (analytic) = 1.1230389579364807646657617518461
y[1] (numeric) = 1.1230389579364807383172864379969
absolute error = 2.63484753138492e-17
relative error = 2.3461764284885541189718968442154e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.373
y[1] (analytic) = 1.1236259901392744524299418146022
y[1] (numeric) = 1.1236259901392744260788688996078
absolute error = 2.63510729149944e-17
relative error = 2.3451818617801961668329972406440e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.374
y[1] (analytic) = 1.1242129920541946233231032367964
y[1] (numeric) = 1.1242129920541945969694381404237
absolute error = 2.63536650963727e-17
relative error = 2.3441879148023825888668559820050e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.869
Order of pole = 1.935
x[1] = 1.375
y[1] (analytic) = 1.1247999637023147679930721472234
y[1] (numeric) = 1.1247999637023147416368202760513
absolute error = 2.63562518711721e-17
relative error = 2.3431945876331344054496673628125e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.376
y[1] (analytic) = 1.125386905104686391181052015552
y[1] (numeric) = 1.1253869051046863648222187630077
absolute error = 2.63588332525443e-17
relative error = 2.3422018803473045012274836216633e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.377
y[1] (analytic) = 1.1259738162823390422947614664377
y[1] (numeric) = 1.1259738162823390159333522128335
absolute error = 2.63614092536042e-17
relative error = 2.3412097930165412205540959309549e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.378
y[1] (analytic) = 1.1265606972562803459284476111659
y[1] (numeric) = 1.1265606972562803195644677237356
absolute error = 2.63639798874303e-17
relative error = 2.3402183257093319650393590112692e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.379
y[1] (analytic) = 1.127147548047496032329885630511
y[1] (numeric) = 1.1271475480474960059633404634462
absolute error = 2.63665451670648e-17
relative error = 2.3392274784910200381810471444181e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.3114
Order of pole = 0.5059
x[1] = 1.38
y[1] (analytic) = 1.1277343686769499678144750733064
y[1] (numeric) = 1.1277343686769499414453699677927
absolute error = 2.63691051055137e-17
relative error = 2.3382372514238214365619452494546e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.381
y[1] (analytic) = 1.1283211591655841851265430667787
y[1] (numeric) = 1.1283211591655841587548833510318
absolute error = 2.63716597157469e-17
relative error = 2.3372476445668415878173453387241e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.382
y[1] (analytic) = 1.1289079195343189137479643669995
y[1] (numeric) = 1.1289079195343188873737553563012
absolute error = 2.63742090106983e-17
relative error = 2.3362586579760920355772059167407e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.717
Order of pole = 0.6776
x[1] = 1.383
y[1] (analytic) = 1.1294946498040526101542079108531
y[1] (numeric) = 1.1294946498040525837774549075871
absolute error = 2.63767530032660e-17
relative error = 2.3352702917045159251032498416671e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.384
y[1] (analytic) = 1.1300813499956619880179192647045
y[1] (numeric) = 1.1300813499956619616386275583922
absolute error = 2.63792917063123e-17
relative error = 2.3342825458019957108868764006985e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.236
Order of pole = 1.13
x[1] = 1.385
y[1] (analytic) = 1.1306680201300020483601480994755
y[1] (numeric) = 1.1306680201300020219783229668117
absolute error = 2.63818251326638e-17
relative error = 2.3332954203153696837818489144937e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.386
y[1] (analytic) = 1.1312546602279061096493295570956
y[1] (numeric) = 1.131254660227906083264976261984
absolute error = 2.63843532951116e-17
relative error = 2.3323089152884572856620630163306e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.158
Order of pole = 0.5805
x[1] = 1.387
y[1] (analytic) = 1.13184127031018583784812810929
y[1] (numeric) = 1.1318412703101858114612519028785
absolute error = 2.63868762064115e-17
relative error = 2.3313230307620843445728264754735e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.874
Order of pole = 0.9954
x[1] = 1.388
y[1] (analytic) = 1.1324278503976312764082522463888
y[1] (numeric) = 1.132427850397631250018858367105
absolute error = 2.63893938792838e-17
relative error = 2.3303377667740729083404910587543e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.389
y[1] (analytic) = 1.133014400511010876213348071299
y[1] (numeric) = 1.1330144005110108498214417448853
absolute error = 2.63919063264137e-17
relative error = 2.3293531233592840650762013182971e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.39
y[1] (analytic) = 1.1336009206710715254700796119589
y[1] (numeric) = 1.1336009206710714990756660515077
absolute error = 2.63944135604512e-17
relative error = 2.3283691005496165227501506073490e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.391
y[1] (analytic) = 1.1341874108985385795475034045028
y[1] (numeric) = 1.1341874108985385531505878104913
absolute error = 2.63969155940115e-17
relative error = 2.3273856983740492768508227038524e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.499
Order of pole = 1.711
x[1] = 1.392
y[1] (analytic) = 1.1347738712141158907648446389887
y[1] (numeric) = 1.134773871214115864365432199314
absolute error = 2.63994124396747e-17
relative error = 2.3264029168586224586932555913564e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=156.4MB, alloc=4.4MB, time=19.51
x[1] = 1.393
y[1] (analytic) = 1.1353603016384858381277818998938
y[1] (numeric) = 1.1353603016384858117258777899075
absolute error = 2.64019041099863e-17
relative error = 2.3254207560264887045655889345829e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.394
y[1] (analytic) = 1.1359467021923093570133472746448
y[1] (numeric) = 1.1359467021923093306089566571876
absolute error = 2.64043906174572e-17
relative error = 2.3244392158979203488845217242059e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.395
y[1] (analytic) = 1.1365330728962259688035483452342
y[1] (numeric) = 1.1365330728962259423966763706706
absolute error = 2.64068719745636e-17
relative error = 2.3234582964903077956831614521029e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 9.886
Order of pole = 6.331
x[1] = 1.396
y[1] (analytic) = 1.1371194137708538104678183204677
y[1] (numeric) = 1.1371194137708537840584701267205
absolute error = 2.64093481937472e-17
relative error = 2.3224779978181842768822584568968e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.397
y[1] (analytic) = 1.137705724836789664094400309595
y[1] (numeric) = 1.1377057248367896376825810221795
absolute error = 2.64118192874155e-17
relative error = 2.3214983198932593229185553919107e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.398
y[1] (analytic) = 1.1382920061146089863707714819904
y[1] (numeric) = 1.1382920061146089599564862140487
absolute error = 2.64142852679417e-17
relative error = 2.3205192627244169888735075641359e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.399
y[1] (analytic) = 1.1388782576248659380132126021734
y[1] (numeric) = 1.1388782576248659115964664545084
absolute error = 2.64167461476650e-17
relative error = 2.3195408263177492076776186843408e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.4
y[1] (analytic) = 1.1394644793880934131456281747839
y[1] (numeric) = 1.1394644793880933867264262358936
absolute error = 2.64192019388903e-17
relative error = 2.3185630106765363833630652883175e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.401
y[1] (analytic) = 1.1400506714248030686277221801593
y[1] (numeric) = 1.1400506714248030422060695262703
absolute error = 2.64216526538890e-17
relative error = 2.3175858158013245304598522007237e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.402
y[1] (analytic) = 1.1406368337554853533326341278856
y[1] (numeric) = 1.1406368337554853269085358229873
absolute error = 2.64240983048983e-17
relative error = 2.3166092416898706693862151004668e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.4723
Order of pole = 0.5132
x[1] = 1.403
y[1] (analytic) = 1.141222966400609537374139903127
y[1] (numeric) = 1.1412229664006095109476009990051
absolute error = 2.64265389041219e-17
relative error = 2.3156332883372110648806129627528e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.54
Order of pole = 1.244
x[1] = 1.404
y[1] (analytic) = 1.1418090693806237412835216286581
y[1] (numeric) = 1.1418090693806237148545471649282
absolute error = 2.64289744637299e-17
relative error = 2.3146579557356591893528088616459e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.405
y[1] (analytic) = 1.1423951427159549651362105143414
y[1] (numeric) = 1.1423951427159549387048055184827
absolute error = 2.64314049958587e-17
relative error = 2.3136832438748036918694989283615e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.481
Order of pole = 2.989
x[1] = 1.406
y[1] (analytic) = 1.1429811864270091176283064153028
y[1] (numeric) = 1.142981186427009091194475902691
absolute error = 2.64338305126118e-17
relative error = 2.3127091527415851142075645799867e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.518
Order of pole = 0.8754
x[1] = 1.407
y[1] (analytic) = 1.1435672005341710451030775702528
y[1] (numeric) = 1.143567200534171018666826544194
absolute error = 2.64362510260588e-17
relative error = 2.3117356823202149681915803886437e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.408
y[1] (analytic) = 1.1441531850578045605275437422912
y[1] (numeric) = 1.1441531850578045340888771940547
absolute error = 2.64386665482365e-17
relative error = 2.3107628325922786029552687944540e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.409
y[1] (analytic) = 1.144739140018252472419245736099
y[1] (numeric) = 1.1447391400182524459781686449506
absolute error = 2.64410770911484e-17
relative error = 2.3097906035366979858089882881328e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.41
y[1] (analytic) = 1.145325065435836613723304017679
y[1] (numeric) = 1.1453250654358365872798213509137
absolute error = 2.64434826667653e-17
relative error = 2.3088189951297906393610537957369e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.411
y[1] (analytic) = 1.1459109613308578706398689157389
y[1] (numeric) = 1.1459109613308578441939856287141
absolute error = 2.64458832870248e-17
relative error = 2.3078480073452324037323628062372e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.412
y[1] (analytic) = 1.1464968277235962114020646374261
y[1] (numeric) = 1.1464968277235961849537856735941
absolute error = 2.64482789638320e-17
relative error = 2.3068776401541249790273861675331e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.413
y[1] (analytic) = 1.1470826646343107150045290854127
y[1] (numeric) = 1.1470826646343106885538593763535
absolute error = 2.64506697090592e-17
relative error = 2.3059078935249760825638150319979e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.414
y[1] (analytic) = 1.1476684720832395998826512182944
y[1] (numeric) = 1.1476684720832395734295956837484
absolute error = 2.64530555345460e-17
relative error = 2.3049387674237145195756834636994e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.415
y[1] (analytic) = 1.1482542500906002525426074519064
y[1] (numeric) = 1.1482542500906002260871709998065
absolute error = 2.64554364520999e-17
relative error = 2.3039702618137487515757219736062e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.416
y[1] (analytic) = 1.1488399986765892561422983554642
y[1] (numeric) = 1.1488399986765892296844858819687
absolute error = 2.64578124734955e-17
relative error = 2.3030023766559034229276869974066e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.7822
Order of pole = 0.536
x[1] = 1.417
y[1] (analytic) = 1.1494257178613824190232866534187
y[1] (numeric) = 1.1494257178613823925631030429432
absolute error = 2.64601836104755e-17
relative error = 2.3020351119085126808831465760914e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.059
Order of pole = 1.468
x[1] = 1.418
y[1] (analytic) = 1.1500114076651348031938373015534
y[1] (numeric) = 1.150011407665134776731287426803
absolute error = 2.64625498747504e-17
relative error = 2.3010684675274001675320929143021e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.419
y[1] (analytic) = 1.1505970681079807527631601641616
y[1] (numeric) = 1.1505970681079807262982488861631
absolute error = 2.64649112779985e-17
relative error = 2.3001024434658851457477985484251e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.335
Order of pole = 0.8201
x[1] = 1.42
y[1] (analytic) = 1.1511826992100339223269555781111
y[1] (numeric) = 1.1511826992100338958596877462449
absolute error = 2.64672678318662e-17
relative error = 2.2991370396748146660514686827330e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.549
Order of pole = 0.6407
x[1] = 1.421
y[1] (analytic) = 1.1517683009913873053043628492329
y[1] (numeric) = 1.1517683009913872788347433012649
absolute error = 2.64696195479680e-17
relative error = 2.2981722561025695879086318635206e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.422
y[1] (analytic) = 1.1523538734721132622264114867591
y[1] (numeric) = 1.1523538734721132357544450488725
absolute error = 2.64719664378866e-17
relative error = 2.2972080926950792600363078395568e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.423
y[1] (analytic) = 1.1529394166722635489760747424795
y[1] (numeric) = 1.1529394166722635225017662293064
absolute error = 2.64743085131731e-17
relative error = 2.2962445493958448289412821944991e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.424
y[1] (analytic) = 1.1535249306118693449800247828851
y[1] (numeric) = 1.1535249306118693185033789975383
absolute error = 2.64766457853468e-17
relative error = 2.2952816261459277996405374885472e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.876
Order of pole = 4.128
memory used=160.2MB, alloc=4.4MB, time=19.99
x[1] = 1.425
y[1] (analytic) = 1.154110415310941281352188584817
y[1] (numeric) = 1.1541104153109412548732103189211
absolute error = 2.64789782658959e-17
relative error = 2.2943193228840166128397326563711e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.968
Order of pole = 0.7263
x[1] = 1.426
y[1] (analytic) = 1.1546958707894694689892034080398
y[1] (numeric) = 1.1546958707894694425078974417631
absolute error = 2.64813059662767e-17
relative error = 2.2933576395463631147351377965714e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.427
y[1] (analytic) = 1.1552812970674235266178704617095
y[1] (numeric) = 1.1552812970674235001342415637948
absolute error = 2.64836288979147e-17
relative error = 2.2923965760668836816068003561547e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.428
y[1] (analytic) = 1.1558666941647526087947051458965
y[1] (numeric) = 1.1558666941647525823087580736926
absolute error = 2.64859470722039e-17
relative error = 2.2914361323771043093178898531863e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.429
y[1] (analytic) = 1.15645206210138543385768201417
y[1] (numeric) = 1.1564520621013854073694215136628
absolute error = 2.64882605005072e-17
relative error = 2.2904763084062009876302987121844e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.194
Order of pole = 1.525
x[1] = 1.43
y[1] (analytic) = 1.1570374008972303118302723687255
y[1] (numeric) = 1.1570374008972302853397031745688
absolute error = 2.64905691941567e-17
relative error = 2.2895171040810313087240171496876e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.431
y[1] (analytic) = 1.1576227105721751722778721656622
y[1] (numeric) = 1.1576227105721751457849990012089
absolute error = 2.64928731644533e-17
relative error = 2.2885585193261055106085414853062e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.432
y[1] (analytic) = 1.1582079911460875921167176747766
y[1] (numeric) = 1.1582079911460875656215452521092
absolute error = 2.64951724226674e-17
relative error = 2.2876005540636525821828592115597e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.433
y[1] (analytic) = 1.1587932426388148233753861056334
y[1] (numeric) = 1.1587932426388147968779191255949
absolute error = 2.64974669800385e-17
relative error = 2.2866432082135912411737282777240e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.434
y[1] (analytic) = 1.1593784650701838209089781797073
y[1] (numeric) = 1.1593784650701837944092213319318
absolute error = 2.64997568477755e-17
relative error = 2.2856864816935613767112248851945e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.435
y[1] (analytic) = 1.1599636584600012700660793970502
y[1] (numeric) = 1.1599636584600012435640373599937
absolute error = 2.65020420370565e-17
relative error = 2.2847303744189122914821105786193e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.436
y[1] (analytic) = 1.1605488228280536143085965152345
y[1] (numeric) = 1.1605488228280535878042739562048
absolute error = 2.65043225590297e-17
relative error = 2.2837748863027857617607182235485e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.437
y[1] (analytic) = 1.1611339581941070827845655282406
y[1] (numeric) = 1.161133958194107056277967103428
absolute error = 2.65065984248126e-17
relative error = 2.2828200172560524372573867328478e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.438
y[1] (analytic) = 1.1617190645779077178540272035112
y[1] (numeric) = 1.1617190645779076913451575580186
absolute error = 2.65088696454926e-17
relative error = 2.2818657671873689438185191583481e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.439
y[1] (analytic) = 1.1623041419991814025680660065618
y[1] (numeric) = 1.1623041419991813760569297744352
absolute error = 2.65111362321266e-17
relative error = 2.2809121360031487772302881952262e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.44
y[1] (analytic) = 1.1628891904776338881011080143391
y[1] (numeric) = 1.1628891904776338615877098185973
absolute error = 2.65133981957418e-17
relative error = 2.2799591236076364757330746739874e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.596
Order of pole = 0.8899
x[1] = 1.441
y[1] (analytic) = 1.1634742100329508211365731909298
y[1] (numeric) = 1.1634742100329507946209176435944
absolute error = 2.65156555473354e-17
relative error = 2.2790067299028870239194415843891e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.323
Order of pole = 0.6012
x[1] = 1.442
y[1] (analytic) = 1.1640592006847977712059771722623
y[1] (numeric) = 1.1640592006847977446880688743878
absolute error = 2.65179082978745e-17
relative error = 2.2780549547887624996013281339807e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.443
y[1] (analytic) = 1.1646441624528202579815774800955
y[1] (numeric) = 1.164644162452820231461421021799
absolute error = 2.65201564582965e-17
relative error = 2.2771037981629716619530122506500e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.444
y[1] (analytic) = 1.1652290953566437785226588598556
y[1] (numeric) = 1.1652290953566437520002588203465
absolute error = 2.65224000395091e-17
relative error = 2.2761532599210750920059030363281e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.445
y[1] (analytic) = 1.1658139994158738344755522117654
y[1] (numeric) = 1.1658139994158738079509131593748
absolute error = 2.65246390523906e-17
relative error = 2.2752033399565160503795771424029e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.446
y[1] (analytic) = 1.1663988746500959592274813602002
y[1] (numeric) = 1.1663988746500959327006078524109
absolute error = 2.65268735077893e-17
relative error = 2.2742540381605740812255178794296e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.447
y[1] (analytic) = 1.1669837210788757450143316823114
y[1] (numeric) = 1.1669837210788757184852282657868
absolute error = 2.65291034165246e-17
relative error = 2.2733053544224644300114095449413e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.448
y[1] (analytic) = 1.1675685387217588699824343936626
y[1] (numeric) = 1.1675685387217588434511056042765
absolute error = 2.65313287893861e-17
relative error = 2.2723572886292658659860125086947e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.449
y[1] (analytic) = 1.1681533275982711252044600659458
y[1] (numeric) = 1.1681533275982710986709104288114
absolute error = 2.65335496371344e-17
relative error = 2.2714098406659942499348565952725e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.45
y[1] (analytic) = 1.1687380877279184416495147297588
y[1] (numeric) = 1.1687380877279184151137487592579
absolute error = 2.65357659705009e-17
relative error = 2.2704630104155903183425711057023e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.451
y[1] (analytic) = 1.169322819130186917107531693951
y[1] (numeric) = 1.169322819130186890569553893763
absolute error = 2.65379778001880e-17
relative error = 2.2695167977589417116951053733421e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.452
y[1] (analytic) = 1.1699075218245428430680519921655
y[1] (numeric) = 1.1699075218245428165278668552966
absolute error = 2.65401851368689e-17
relative error = 2.2685712025748707456395661254393e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.453
y[1] (analytic) = 1.170492195830432731553486146927
y[1] (numeric) = 1.1704921958304327050110981557389
absolute error = 2.65423879911881e-17
relative error = 2.2676262247401820223557246154349e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.454
y[1] (analytic) = 1.1710768411672833419069497219402
y[1] (numeric) = 1.171076841167283315362363348179
absolute error = 2.65445863737612e-17
relative error = 2.2666818641296501249216639436069e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.8721
Order of pole = 0.5436
x[1] = 1.455
y[1] (analytic) = 1.1716614578545017075347649141792
y[1] (numeric) = 1.1716614578545016809879846190042
absolute error = 2.65467802951750e-17
relative error = 2.2657381206160329528591727828680e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 15.17
Order of pole = 13.68
x[1] = 1.456
y[1] (analytic) = 1.1722460459114751626037202188505
y[1] (numeric) = 1.1722460459114751360547504528627
absolute error = 2.65489697659878e-17
relative error = 2.2647949940701020787115235172138e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=164.0MB, alloc=4.4MB, time=20.48
x[1] = 1.457
y[1] (analytic) = 1.1728306053575713686931799824108
y[1] (numeric) = 1.1728306053575713421420251856815
absolute error = 2.65511547967293e-17
relative error = 2.2638524843606389079927791575879e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.458
y[1] (analytic) = 1.1734151362121383414021354415052
y[1] (numeric) = 1.1734151362121383148488000436044
absolute error = 2.65533353979008e-17
relative error = 2.2629105913544564167005428188573e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.946
Order of pole = 1.898
x[1] = 1.459
y[1] (analytic) = 1.1739996384945044769112886289664
y[1] (numeric) = 1.1739996384945044503557770489912
absolute error = 2.65555115799752e-17
relative error = 2.2619693149164037877990196155033e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.295
Order of pole = 0.5958
x[1] = 1.46
y[1] (analytic) = 1.1745841122239785785002603118738
y[1] (numeric) = 1.1745841122239785519425769584769
absolute error = 2.65576833533969e-17
relative error = 2.2610286549093625199018913375574e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.461
y[1] (analytic) = 1.1751685574198498830200129111164
y[1] (numeric) = 1.1751685574198498564601621825339
absolute error = 2.65598507285825e-17
relative error = 2.2600886111943106226039072302571e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.462
y[1] (analytic) = 1.1757529741013880873205791369256
y[1] (numeric) = 1.1757529741013880607585654210055
absolute error = 2.65620137159201e-17
relative error = 2.2591491836302675474243617457302e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.463
y[1] (analytic) = 1.1763373622878433746341868604564
y[1] (numeric) = 1.1763373622878433480700145346865
absolute error = 2.65641723257699e-17
relative error = 2.2582103720743497951297719896767e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.464
y[1] (analytic) = 1.1769217219984464409138705276743
y[1] (numeric) = 1.1769217219984464143475439592099
absolute error = 2.65663265684644e-17
relative error = 2.2572721763817923701296807082128e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.465
y[1] (analytic) = 1.1775060532524085211276592085704
y[1] (numeric) = 1.1775060532524084945591827542626
absolute error = 2.65684764543078e-17
relative error = 2.2563345964059022305102430021047e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.466
y[1] (analytic) = 1.1780903560689214155084311620653
y[1] (numeric) = 1.1780903560689213889378091684885
absolute error = 2.65706219935768e-17
relative error = 2.2553976319981307127076805600886e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.474
Order of pole = 0.848
x[1] = 1.467
y[1] (analytic) = 1.1786746304671575157595245848709
y[1] (numeric) = 1.1786746304671574891867613883505
absolute error = 2.65727631965204e-17
relative error = 2.2544612830080608994306798434858e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.468
y[1] (analytic) = 1.179258876466269831216194001063
y[1] (numeric) = 1.1792588764662698046412939277031
absolute error = 2.65749000733599e-17
relative error = 2.2535255492834119846762489984467e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.469
y[1] (analytic) = 1.1798430940853920149630015381701
y[1] (numeric) = 1.179843094085391988385968903881
absolute error = 2.65770326342891e-17
relative error = 2.2525904306700605769182966529551e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.47
y[1] (analytic) = 1.1804272833436383899072321252056
y[1] (numeric) = 1.1804272833436383633280712357312
absolute error = 2.65791608894744e-17
relative error = 2.2516559270120534672668200020176e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.471
y[1] (analytic) = 1.1810114442601039748084214382553
y[1] (numeric) = 1.1810114442601039482271365892006
absolute error = 2.65812848490547e-17
relative error = 2.2507220381516034248418818772523e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.472
y[1] (analytic) = 1.181595576853864510264085209989
y[1] (numeric) = 1.181595576853864483680680686847
absolute error = 2.65834045231420e-17
relative error = 2.2497887639291442462966699828465e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.473
y[1] (analytic) = 1.1821796811439764846517383107746
y[1] (numeric) = 1.182179681143976458066218388954
absolute error = 2.65855199218206e-17
relative error = 2.2488561041832672165781284613443e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.474
y[1] (analytic) = 1.1827637571494771600272918009568
y[1] (numeric) = 1.1827637571494771334396607458088
absolute error = 2.65876310551480e-17
relative error = 2.2479240587508014888732400934923e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.483
Order of pole = 0.6243
x[1] = 1.475
y[1] (analytic) = 1.1833478048893845979799159462934
y[1] (numeric) = 1.1833478048893845713901780131388
absolute error = 2.65897379331546e-17
relative error = 2.2469926274667928190591474075868e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.382
Order of pole = 1.146
x[1] = 1.476
y[1] (analytic) = 1.1839318243826976854434569815402
y[1] (numeric) = 1.1839318243826976588516164156963
absolute error = 2.65918405658439e-17
relative error = 2.2460618101645245950303090912337e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.477
y[1] (analytic) = 1.1845158156483961604644952007258
y[1] (numeric) = 1.1845158156483961338705562375333
absolute error = 2.65939389631925e-17
relative error = 2.2451316066755219190501972026380e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.764
Order of pole = 1.299
x[1] = 1.478
y[1] (analytic) = 1.1850997787054406379271317467635
y[1] (numeric) = 1.1850997787054406113310986116135
absolute error = 2.65960331351500e-17
relative error = 2.2442020168295472397012030651568e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.142
Order of pole = 1.467
x[1] = 1.479
y[1] (analytic) = 1.1856837135727726352345912677067
y[1] (numeric) = 1.185683713572772608636468176067
absolute error = 2.65981230916397e-17
relative error = 2.2432730404546634681386304417791e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.48
y[1] (analytic) = 1.1862676202693145979477274021629
y[1] (numeric) = 1.186267620269314571347518559605
absolute error = 2.66002088425579e-17
relative error = 2.2423446773771788905035935771918e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.448
Order of pole = 0.618
x[1] = 1.481
y[1] (analytic) = 1.186851498813969925380517852144
y[1] (numeric) = 1.1868514988139698987782274543693
absolute error = 2.66022903977747e-17
relative error = 2.2414169274217186275480557976107e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.482
y[1] (analytic) = 1.1874353492256229961526355979355
y[1] (numeric) = 1.187435349225622969548267830802
absolute error = 2.66043677671335e-17
relative error = 2.2404897904111864035791287133749e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.483
y[1] (analytic) = 1.1880191715231391936991826064241
y[1] (numeric) = 1.1880191715231391670927416459727
absolute error = 2.66064409604514e-17
relative error = 2.2395632661668021842883133240538e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.484
y[1] (analytic) = 1.1886029657253649317376721817203
y[1] (numeric) = 1.1886029657253649051291621942012
absolute error = 2.66085099875191e-17
relative error = 2.2386373545080976372642909544012e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 17.45
Order of pole = 17.59
x[1] = 1.485
y[1] (analytic) = 1.1891867318511276796923459048556
y[1] (numeric) = 1.1891867318511276530817710467544
absolute error = 2.66105748581012e-17
relative error = 2.2377120552529452421151932450077e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.486
y[1] (analytic) = 1.1897704699192359880759109078169
y[1] (numeric) = 1.1897704699192359614632753258808
absolute error = 2.66126355819361e-17
relative error = 2.2367873682175536947713741504278e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.487
y[1] (analytic) = 1.1903541799484795138287830262051
y[1] (numeric) = 1.190354179948479487214090857469
absolute error = 2.66146921687361e-17
relative error = 2.2358632932164801268466930625876e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.488
y[1] (analytic) = 1.1909378619576290456159211743645
y[1] (numeric) = 1.1909378619576290189991765461768
absolute error = 2.66167446281877e-17
relative error = 2.2349398300626590823684349455952e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.202
Order of pole = 1.489
memory used=167.8MB, alloc=4.4MB, time=20.97
x[1] = 1.489
y[1] (analytic) = 1.1915215159654365290813380869293
y[1] (numeric) = 1.1915215159654365024625451169782
absolute error = 2.66187929699511e-17
relative error = 2.2340169785673642681165902246479e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.9577
Order of pole = 0.5513
x[1] = 1.49
y[1] (analytic) = 1.1921051419906350920603723713662
y[1] (numeric) = 1.1921051419906350654395351677052
absolute error = 2.66208372036610e-17
relative error = 2.2330947385402794669322016452229e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.491
y[1] (analytic) = 1.1926887400519390697498066172578
y[1] (numeric) = 1.1926887400519390431269292783314
absolute error = 2.66228773389264e-17
relative error = 2.2321731097894853984762203538779e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.458
Order of pole = 0.6189
x[1] = 1.492
y[1] (analytic) = 1.193272310168044029835916109769
y[1] (numeric) = 1.1932723101680440032110027244388
absolute error = 2.66249133853302e-17
relative error = 2.2312520921214298577498175589969e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.493
y[1] (analytic) = 1.1938558523576267975805324969702
y[1] (numeric) = 1.1938558523576267709535871445401
absolute error = 2.66269453524301e-17
relative error = 2.2303316853410068318943951129468e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.494
y[1] (analytic) = 1.1944393666393454808652065634426
y[1] (numeric) = 1.1944393666393454542362333136842
absolute error = 2.66289732497584e-17
relative error = 2.2294118892515432914992048364540e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.495
y[1] (analytic) = 1.1950228530318394951935540658782
y[1] (numeric) = 1.1950228530318394685625569790569
absolute error = 2.66309970868213e-17
relative error = 2.2284927036547441802546971604854e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.496
y[1] (analytic) = 1.195606311553729588651868390197
y[1] (numeric) = 1.1956063115537295620188515170968
absolute error = 2.66330168731002e-17
relative error = 2.2275741283508048446699480100017e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.785
Order of pole = 1.776
x[1] = 1.497
y[1] (analytic) = 1.1961897422236178668280835940316
y[1] (numeric) = 1.1961897422236178401930509759807
absolute error = 2.66350326180509e-17
relative error = 2.2266561631383475771684032831165e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.498
y[1] (analytic) = 1.1967731450600878176891712032912
y[1] (numeric) = 1.1967731450600877910521268721867
absolute error = 2.66370443311045e-17
relative error = 2.2257388078145003932991235678401e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.127
Order of pole = 0.5706
x[1] = 1.499
y[1] (analytic) = 1.1973565200817043364170539368861
y[1] (numeric) = 1.1973565200817043097780019152199
absolute error = 2.66390520216662e-17
relative error = 2.2248220621748001921466017777787e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.5
y[1] (analytic) = 1.1979398673070137502031193395952
y[1] (numeric) = 1.1979398673070137235620636404785
absolute error = 2.66410556991167e-17
relative error = 2.2239059260133132388319720639265e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.501
y[1] (analytic) = 1.1985231867545438430014161094644
y[1] (numeric) = 1.198523186754543816358360736653
absolute error = 2.66430553728114e-17
relative error = 2.2229903991225717357885163989572e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.502
y[1] (analytic) = 1.1991064784428038802406157130581
y[1] (numeric) = 1.1991064784428038535955646609772
absolute error = 2.66450510520809e-17
relative error = 2.2220754812936189931046739072084e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.503
y[1] (analytic) = 1.1996897423902846334948216893253
y[1] (numeric) = 1.1996897423902846068477789430942
absolute error = 2.66470427462311e-17
relative error = 2.2211611723160211250099304522153e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.504
y[1] (analytic) = 1.2002729786154584051133088507971
y[1] (numeric) = 1.2002729786154583784642783862543
absolute error = 2.66490304645428e-17
relative error = 2.2202474719778370549467327267261e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.505
y[1] (analytic) = 1.2008561871367790528092743993026
y[1] (numeric) = 1.2008561871367790261582601830302
absolute error = 2.66510142162724e-17
relative error = 2.2193343800656802092385422884663e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.421
Order of pole = 0.8247
x[1] = 1.506
y[1] (analytic) = 1.2014393679726820142076827823633
y[1] (numeric) = 1.2014393679726819875546887717117
absolute error = 2.66529940106516e-17
relative error = 2.2184218963646967974552472015504e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.507
y[1] (analytic) = 1.2020225211415843313522859259128
y[1] (numeric) = 1.2020225211415843046973160690254
absolute error = 2.66549698568874e-17
relative error = 2.2175100206585691138294926686757e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.508
y[1] (analytic) = 1.2026056466618846751719002889816
y[1] (numeric) = 1.2026056466618846485149585248189
absolute error = 2.66569417641627e-17
relative error = 2.2165987527295687206204502371940e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.509
y[1] (analytic) = 1.2031887445519633699060219964801
y[1] (numeric) = 1.2031887445519633432471122548446
absolute error = 2.66589097416355e-17
relative error = 2.2156880923584931192484300976144e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.51
y[1] (analytic) = 1.2037718148301824174898611172196
y[1] (numeric) = 1.2037718148301823908289873187798
absolute error = 2.66608737984398e-17
relative error = 2.2147780393247438281603837885632e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.511
y[1] (analytic) = 1.2043548575148855218988759658076
y[1] (numeric) = 1.2043548575148854952360420221224
absolute error = 2.66628339436852e-17
relative error = 2.2138685934062962921803276281811e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.512
y[1] (analytic) = 1.204937872624398113452888119063
y[1] (numeric) = 1.2049378726243980867880979326056
absolute error = 2.66647901864574e-17
relative error = 2.2129597543797445717750008800774e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.513
y[1] (analytic) = 1.2055208601770273730798586500962
y[1] (numeric) = 1.2055208601770273464131161142785
absolute error = 2.66667425358177e-17
relative error = 2.2120515220202629508538323829165e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.514
y[1] (analytic) = 1.2061038201910622565394058962021
y[1] (numeric) = 1.2061038201910622298707148953987
absolute error = 2.66686910008034e-17
relative error = 2.2111438961016422762656423445232e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.515
y[1] (analytic) = 1.20668675268477351860614489021
y[1] (numeric) = 1.2066867526847734919355092997823
absolute error = 2.66706355904277e-17
relative error = 2.2102368763962847560930718966400e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.516
y[1] (analytic) = 1.2072696576764137372129283989267
y[1] (numeric) = 1.2072696576764137105403520852464
absolute error = 2.66725763136803e-17
relative error = 2.2093304626752567550063600768475e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.701
Order of pole = 0.901
x[1] = 1.517
y[1] (analytic) = 1.2078525351842173375540693267933
y[1] (numeric) = 1.2078525351842173108795561472665
absolute error = 2.66745131795268e-17
relative error = 2.2084246547082420867882541382526e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.518
y[1] (analytic) = 1.2084353852264006161486240578554
y[1] (numeric) = 1.2084353852264005894721778609462
absolute error = 2.66764461969092e-17
relative error = 2.2075194522635864687522791550126e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.9019
Order of pole = 0.5447
x[1] = 1.519
y[1] (analytic) = 1.2090182078211617648638161246107
y[1] (numeric) = 1.2090182078211617381854407498651
absolute error = 2.66783753747456e-17
relative error = 2.2066148551082756781052962592157e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.202
Order of pole = 0.7661
x[1] = 1.52
y[1] (analytic) = 1.209601002986680894898679408258
y[1] (numeric) = 1.2096010029866808682183786863274
absolute error = 2.66803007219306e-17
relative error = 2.2057108630079716417096321802444e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=171.6MB, alloc=4.4MB, time=21.48
x[1] = 1.521
y[1] (analytic) = 1.2101837707411200607279998913111
y[1] (numeric) = 1.2101837707411200340457776439757
absolute error = 2.66822222473354e-17
relative error = 2.2048074757270236318700920106009e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.522
y[1] (analytic) = 1.2107665111026232840066348004745
y[1] (numeric) = 1.210766511102623257322494840667
absolute error = 2.66841399598075e-17
relative error = 2.2039046930284463928023084030027e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.581
Order of pole = 1.649
x[1] = 1.523
y[1] (analytic) = 1.21134922408931657743428779509
y[1] (numeric) = 1.2113492240893165507482339269189
absolute error = 2.66860538681711e-17
relative error = 2.2030025146739561169770418442997e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.524
y[1] (analytic) = 1.2119319097193079685808186743621
y[1] (numeric) = 1.211931909719307941892854693135
absolute error = 2.66879639812271e-17
relative error = 2.2021009404239733124591914256630e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.525
y[1] (analytic) = 1.2125145680106875236721658949469
y[1] (numeric) = 1.2125145680106874969822955871938
absolute error = 2.66898703077531e-17
relative error = 2.2011999700376256619236363822850e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.526
y[1] (analytic) = 1.2130971989815273713369600093516
y[1] (numeric) = 1.213097198981527344645187152848
absolute error = 2.66917728565036e-17
relative error = 2.2002996032727673601022732576199e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.527
y[1] (analytic) = 1.213679802649881726313905954927
y[1] (numeric) = 1.2136798026498816996202343187173
absolute error = 2.66936716362097e-17
relative error = 2.1993998398859571984542145208253e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.699
Order of pole = 0.6574
x[1] = 1.528
y[1] (analytic) = 1.2142623790337869131200119430536
y[1] (numeric) = 1.2142623790337868864244452874738
absolute error = 2.66955666555798e-17
relative error = 2.1985006796325190673991628854801e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.529
y[1] (analytic) = 1.2148449281512613896797425184098
y[1] (numeric) = 1.2148449281512613629822845951108
absolute error = 2.66974579232990e-17
relative error = 2.1976021222664952748790819296302e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.53
y[1] (analytic) = 1.2154274500203057709151731789812
y[1] (numeric) = 1.2154274500203057442158277309515
absolute error = 2.66993454480297e-17
relative error = 2.1967041675406987298217695919764e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.531
y[1] (analytic) = 1.2160099446589028522972237687052
y[1] (numeric) = 1.2160099446589028255959945302937
absolute error = 2.67012292384115e-17
relative error = 2.1958068152067074102533963660499e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.532
y[1] (analytic) = 1.2165924120850176333580476763583
y[1] (numeric) = 1.2165924120850176066549383732974
absolute error = 2.67031093030609e-17
relative error = 2.1949100650148424079096422475611e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.919
Order of pole = 0.9635
x[1] = 1.533
y[1] (analytic) = 1.2171748523165973411646536964746
y[1] (numeric) = 1.2171748523165973144596680459027
absolute error = 2.67049856505719e-17
relative error = 2.1940139167142199775665674012049e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.534
y[1] (analytic) = 1.217757265371571453753837230733
y[1] (numeric) = 1.217757265371571427046978941217
absolute error = 2.67068582895160e-17
relative error = 2.1931183700527541660654778923557e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.535
y[1] (analytic) = 1.2183396512678517235284973313695
y[1] (numeric) = 1.2183396512678516968197701029277
absolute error = 2.67087272284418e-17
relative error = 2.1922234247771266022055302202831e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.536
y[1] (analytic) = 1.2189220100233322006154159117548
y[1] (numeric) = 1.2189220100233321739048234358792
absolute error = 2.67105924758756e-17
relative error = 2.1913290806328384129155889993895e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.537
y[1] (analytic) = 1.2195043416558892561845752733261
y[1] (numeric) = 1.2195043416558892294721212330049
absolute error = 2.67124540403212e-17
relative error = 2.1904353373641963902248938591358e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.538
y[1] (analytic) = 1.220086646183381605730089922573
y[1] (numeric) = 1.2200866461833815790157779923131
absolute error = 2.67143119302599e-17
relative error = 2.1895421947143155901072812817265e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.539
y[1] (analytic) = 1.220668923623650332312828476754
y[1] (numeric) = 1.2206689236236503055966623226031
absolute error = 2.67161661541509e-17
relative error = 2.1886496524251546927837170257653e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.54
y[1] (analytic) = 1.2212511739945189097648012824525
y[1] (numeric) = 1.2212511739945188830467845620214
absolute error = 2.67180167204311e-17
relative error = 2.1877577102375021319099779864881e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.541
y[1] (analytic) = 1.2218333973137932258553891969767
y[1] (numeric) = 1.2218333973137931991355255594616
absolute error = 2.67198636375151e-17
relative error = 2.1868663678909786322568751165446e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.542
y[1] (analytic) = 1.2224155935992616054194888089597
y[1] (numeric) = 1.2224155935992615786977818951643
absolute error = 2.67217069137954e-17
relative error = 2.1859756251240561011726946330788e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.984
Order of pole = 1.358
x[1] = 1.543
y[1] (analytic) = 1.2229977628686948334476492013249
y[1] (numeric) = 1.2229977628686948067241026436823
absolute error = 2.67235465576426e-17
relative error = 2.1850854816740764660763637711175e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 9.602
Order of pole = 5.479
x[1] = 1.544
y[1] (analytic) = 1.2235799051398461781382751870446
y[1] (numeric) = 1.2235799051398461514128926096395
absolute error = 2.67253825774051e-17
relative error = 2.1841959372772295944715041826513e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.545
y[1] (analytic) = 1.2241620204304514139119717758397
y[1] (numeric) = 1.2241620204304513871847567944302
absolute error = 2.67272149814095e-17
relative error = 2.1833069916685884589299401036334e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.546
y[1] (analytic) = 1.2247441087582288443881044581373
y[1] (numeric) = 1.2247441087582288176590606801767
absolute error = 2.67290437779606e-17
relative error = 2.1824186445821115419054151489886e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.547
y[1] (analytic) = 1.2253261701408793253236497212237
y[1] (numeric) = 1.2253261701408792985927807458824
absolute error = 2.67308689753413e-17
relative error = 2.1815308957506370726040667315879e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.548
y[1] (analytic) = 1.2259082045960862875144100416046
y[1] (numeric) = 1.2259082045960862607817194597918
absolute error = 2.67326905818128e-17
relative error = 2.1806437449059017519288261658163e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.549
y[1] (analytic) = 1.226490212141515759658667427102
y[1] (numeric) = 1.2264902121415157329241588214873
absolute error = 2.67345086056147e-17
relative error = 2.1797571917785512707654732557958e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.55
y[1] (analytic) = 1.2270721927948163911833494121853
y[1] (numeric) = 1.2270721927948163644470263572204
absolute error = 2.67363230549649e-17
relative error = 2.1788712360981344993850834939303e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.551
y[1] (analytic) = 1.2276541465736194750327812404472
y[1] (numeric) = 1.2276541465736194482946473023873
absolute error = 2.67381339380599e-17
relative error = 2.1779858775931302758506851235087e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.552
y[1] (analytic) = 1.2282360734955389704200977989934
y[1] (numeric) = 1.228236073495538943680156535919
absolute error = 2.67399412630744e-17
relative error = 2.1771011159909171259794248129227e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=175.4MB, alloc=4.4MB, time=21.96
x[1] = 1.553
y[1] (analytic) = 1.228817973578171525541388700816
y[1] (numeric) = 1.2288179735781714987996436626537
absolute error = 2.67417450381623e-17
relative error = 2.1762169510178569999813764510128e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.554
y[1] (analytic) = 1.2293998468390965002526497429614
y[1] (numeric) = 1.2293998468390964735091044715059
absolute error = 2.67435452714555e-17
relative error = 2.1753333823991998222082682825274e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.091
Order of pole = 1.012
x[1] = 1.555
y[1] (analytic) = 1.2299816932958759887096138004922
y[1] (numeric) = 1.2299816932958759619642718294272
absolute error = 2.67453419710650e-17
relative error = 2.1744504098591753065083152794532e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.556
y[1] (analytic) = 1.23056351296605484197053404886
y[1] (numeric) = 1.2305635129660548152233989037796
absolute error = 2.67471351450804e-17
relative error = 2.1735680331209544893861047566396e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.3247
Order of pole = 0.5056
x[1] = 1.557
y[1] (analytic) = 1.2311453058671606905619922403716
y[1] (numeric) = 1.2311453058671606638130674388012
absolute error = 2.67489248015704e-17
relative error = 2.1726862519066925974444956497223e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.021
Order of pole = 1.849
x[1] = 1.558
y[1] (analytic) = 1.231727072016703967007804593926
y[1] (numeric) = 1.2317270720167039402570936453438
absolute error = 2.67507109485822e-17
relative error = 2.1718050659374824878665956705006e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.559
y[1] (analytic) = 1.2323088114321779283210976911366
y[1] (numeric) = 1.2323088114321779015686040969943
absolute error = 2.67524935941423e-17
relative error = 2.1709244749334218286959136086151e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.56
y[1] (analytic) = 1.2328905241310586784596266063164
y[1] (numeric) = 1.2328905241310586517053538600603
absolute error = 2.67542727462561e-17
relative error = 2.1700444786135827567073541655362e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.226
Order of pole = 0.7645
x[1] = 1.561
y[1] (analytic) = 1.2334722101308051907444073326092
y[1] (numeric) = 1.2334722101308051639883589197009
absolute error = 2.67560484129083e-17
relative error = 2.1691650766960464787339365184142e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.562
y[1] (analytic) = 1.2340538694488593302417354017777
y[1] (numeric) = 1.2340538694488593034839147997155
absolute error = 2.67578206020622e-17
relative error = 2.1682862688978486380566262537275e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.563
y[1] (analytic) = 1.2346355021026458761086624308277
y[1] (numeric) = 1.2346355021026458493490731091668
absolute error = 2.67595893216609e-17
relative error = 2.1674080549350787268356202615581e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.564
y[1] (analytic) = 1.235217108109572543902002164733
y[1] (numeric) = 1.2352171081095725171406475851066
absolute error = 2.67613545796264e-17
relative error = 2.1665304345228092071148885526714e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.565
y[1] (analytic) = 1.2357986874870300078509374210518
y[1] (numeric) = 1.2357986874870299810878210371915
absolute error = 2.67631163838603e-17
relative error = 2.1656534073751543029464872888686e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.566
y[1] (analytic) = 1.2363802402523919230932991791669
y[1] (numeric) = 1.2363802402523918963284244369234
absolute error = 2.67648747422435e-17
relative error = 2.1647769732052477453575577471040e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.6772
Order of pole = 0.5244
x[1] = 1.567
y[1] (analytic) = 1.236961766423014947875588894257
y[1] (numeric) = 1.2369617664230149211089592316208
absolute error = 2.67666296626362e-17
relative error = 2.1639011317252448331174350453998e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.568
y[1] (analytic) = 1.2375432660162387657168149539016
y[1] (numeric) = 1.2375432660162387389484338010233
absolute error = 2.67683811528783e-17
relative error = 2.1630258826463568098412641156917e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.569
y[1] (analytic) = 1.2381247390493861075362140334394
y[1] (numeric) = 1.2381247390493860807660848126501
absolute error = 2.67701292207893e-17
relative error = 2.1621512256788447606158910579596e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.57
y[1] (analytic) = 1.238706185539762773744927944843
y[1] (numeric) = 1.2387061855397627469730540706749
absolute error = 2.67718738741681e-17
relative error = 2.1612771605320054529312637831412e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.571
y[1] (analytic) = 1.239287605504657656301706412932
y[1] (numeric) = 1.2392876055046576295280912921385
absolute error = 2.67736151207935e-17
relative error = 2.1604036869142137015856842959474e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.572
y[1] (analytic) = 1.2398689989613427607327060522274
y[1] (numeric) = 1.2398689989613427339573530838033
absolute error = 2.67753529684241e-17
relative error = 2.1595308045329162222370564649065e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.573
y[1] (analytic) = 1.2404503659270732281154556576478
y[1] (numeric) = 1.2404503659270732013383682328497
absolute error = 2.67770874247981e-17
relative error = 2.1586585130946174407119170798484e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.574
y[1] (analytic) = 1.2410317064190873570270577625636
y[1] (numeric) = 1.2410317064190873302482392649299
absolute error = 2.67788184976337e-17
relative error = 2.1577868123049136891296262826337e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.575
y[1] (analytic) = 1.2416130204546066254566962584544
y[1] (numeric) = 1.2416130204546065986761500638254
absolute error = 2.67805461946290e-17
relative error = 2.1569157018684870358229696914288e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.576
y[1] (analytic) = 1.2421943080508357126825197115606
y[1] (numeric) = 1.2421943080508356859002491880986
absolute error = 2.67822705234620e-17
relative error = 2.1560451814891071829185105883857e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.577
y[1] (analytic) = 1.2427755692249625211129698534778
y[1] (numeric) = 1.2427755692249624943289783616867
absolute error = 2.67839914917911e-17
relative error = 2.1551752508696735911808714950455e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.578
y[1] (analytic) = 1.2433568039941581980926245646103
y[1] (numeric) = 1.2433568039941581713069154573559
absolute error = 2.67857091072544e-17
relative error = 2.1543059097121609738441795461288e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.367
Order of pole = 2.02
x[1] = 1.579
y[1] (analytic) = 1.2439380123755771576726245117838
y[1] (numeric) = 1.2439380123755771308852011343134
absolute error = 2.67874233774704e-17
relative error = 2.1534371577176774891237743309070e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.58
y[1] (analytic) = 1.2445191943863571023457524441035
y[1] (numeric) = 1.2445191943863570755566181340658
absolute error = 2.67891343100377e-17
relative error = 2.1525689945864424174178485415444e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.581
y[1] (analytic) = 1.2451003500436190447462339943436
y[1] (numeric) = 1.2451003500436190179553920818083
absolute error = 2.67908419125353e-17
relative error = 2.1517014200178120899891384886113e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.582
y[1] (analytic) = 1.2456814793644673293143286767593
y[1] (numeric) = 1.2456814793644673025217824842369
absolute error = 2.67925461925224e-17
relative error = 2.1508344337102656064683474298115e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.583
y[1] (analytic) = 1.246262582365989653925779616223
y[1] (numeric) = 1.2462625823659896271315324586843
absolute error = 2.67942471575387e-17
relative error = 2.1499680353614307123493351109334e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.584
y[1] (analytic) = 1.2468436590652570914861903880013
y[1] (numeric) = 1.2468436590652570646902455728971
absolute error = 2.67959448151042e-17
relative error = 2.1491022246680695029397109835937e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=179.2MB, alloc=4.4MB, time=22.45
x[1] = 1.585
y[1] (analytic) = 1.2474247094793241114903971923104
y[1] (numeric) = 1.2474247094793240846927580195907
absolute error = 2.67976391727197e-17
relative error = 2.1482370013261202829585462223069e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.562
Order of pole = 1.166
x[1] = 1.586
y[1] (analytic) = 1.2480057336252286015469044330067
y[1] (numeric) = 1.2480057336252285747475741951405
absolute error = 2.67993302378662e-17
relative error = 2.1473723650306511686604705540628e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.587
y[1] (analytic) = 1.2485867315199918888674516153949
y[1] (numeric) = 1.2485867315199918620664335973892
absolute error = 2.68010180180057e-17
relative error = 2.1465083154759259463618162885034e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.588
y[1] (analytic) = 1.2491677031806187617217793241552
y[1] (numeric) = 1.2491677031806187349190768035746
absolute error = 2.68027025205806e-17
relative error = 2.1456448523553576726381832128157e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.589
y[1] (analytic) = 1.2497486486240974908576618888161
y[1] (numeric) = 1.249748648624097464053278135802
absolute error = 2.68043837530141e-17
relative error = 2.1447819753615424201204031012379e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.235
Order of pole = 0.7619
x[1] = 1.59
y[1] (analytic) = 1.2503295678673998508862741910164
y[1] (numeric) = 1.2503295678673998240802124683061
absolute error = 2.68060617227103e-17
relative error = 2.1439196841862689356243003005571e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.007
Order of pole = 1.341
x[1] = 1.591
y[1] (analytic) = 1.2509104609274811416329599150158
y[1] (numeric) = 1.2509104609274811148252234779619
absolute error = 2.68077364370539e-17
relative error = 2.1430579785204962947517337161759e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.592
y[1] (analytic) = 1.2514913278212802094534683905271
y[1] (numeric) = 1.2514913278212801826440604871161
absolute error = 2.68094079034110e-17
relative error = 2.1421968580544195139488205552672e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.593
y[1] (analytic) = 1.252072168565719468515727024943
y[1] (numeric) = 1.2520721685657194417046508958149
absolute error = 2.68110761291281e-17
relative error = 2.1413363224773912183428302089194e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.594
y[1] (analytic) = 1.2526529831777049220472161704362
y[1] (numeric) = 1.2526529831777048952344750489033
absolute error = 2.68127411215329e-17
relative error = 2.1404763714779872226293945277862e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.595
y[1] (analytic) = 1.2532337716741261835480131201952
y[1] (numeric) = 1.2532337716741261567336102322609
absolute error = 2.68144028879343e-17
relative error = 2.1396170047440080948293331141961e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.596
y[1] (analytic) = 1.2538145340718564979695717772426
y[1] (numeric) = 1.2538145340718564711535103416203
absolute error = 2.68160614356223e-17
relative error = 2.1387582219624727401398496095876e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.597
y[1] (analytic) = 1.2543952703877527628593043888534
y[1] (numeric) = 1.2543952703877527360415876169855
absolute error = 2.68177167718679e-17
relative error = 2.1379000228196120027100592827029e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.679
Order of pole = 0.6469
x[1] = 1.598
y[1] (analytic) = 1.2549759806386555494710315895493
y[1] (numeric) = 1.2549759806386555226516626856258
absolute error = 2.68193689039235e-17
relative error = 2.1370424070009021266797018114133e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.599
y[1] (analytic) = 1.2555566648413891238413668459917
y[1] (numeric) = 1.2555566648413890970203490069689
absolute error = 2.68210178390228e-17
relative error = 2.1361853741910583014886877861626e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.6
y[1] (analytic) = 1.256137323012761467832101247829
y[1] (numeric) = 1.2561373230127614410094376634484
absolute error = 2.68226635843806e-17
relative error = 2.1353289240740202642832180400014e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.601
y[1] (analytic) = 1.2567179551695643001386544396734
y[1] (numeric) = 1.2567179551695642733143482924798
absolute error = 2.68243061471936e-17
relative error = 2.1344730563330175146881522454339e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.602
y[1] (analytic) = 1.2572985613285730972646573408808
y[1] (numeric) = 1.2572985613285730704387118062414
absolute error = 2.68259455346394e-17
relative error = 2.1336177706504911849003975764271e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.603
y[1] (analytic) = 1.2578791415065471144627321516976
y[1] (numeric) = 1.2578791415065470876351503978203
absolute error = 2.68275817538773e-17
relative error = 2.1327630667081592242782046592268e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.604
y[1] (analytic) = 1.2584596957202294066415349966
y[1] (numeric) = 1.2584596957202293798123201845517
absolute error = 2.68292148120483e-17
relative error = 2.1319089441870178338245491409025e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.605
y[1] (analytic) = 1.2590402239863468492391264083022
y[1] (numeric) = 1.2590402239863468224082816920274
absolute error = 2.68308447162748e-17
relative error = 2.1310554027673190691433829843704e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.606
y[1] (analytic) = 1.2596207263216101590627347089359
y[1] (numeric) = 1.2596207263216101322302632352747
absolute error = 2.68324714736612e-17
relative error = 2.1302024421286199555207926988913e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.538
Order of pole = 0.8339
x[1] = 1.607
y[1] (analytic) = 1.2602012027427139150949771983081
y[1] (numeric) = 1.2602012027427138882608821070149
absolute error = 2.68340950912932e-17
relative error = 2.1293500619497283092431021591380e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.608
y[1] (analytic) = 1.2607816532663365792666039129296
y[1] (numeric) = 1.2607816532663365524308883366912
absolute error = 2.68357155762384e-17
relative error = 2.1284982619087518193352953756771e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.609
y[1] (analytic) = 1.261362077909140517195828573664
y[1] (numeric) = 1.2613620779091404903584956381175
absolute error = 2.68373329355465e-17
relative error = 2.1276470416831152821427641008656e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.3798
Order of pole = 0.5075
x[1] = 1.61
y[1] (analytic) = 1.2619424766877720188943111943805
y[1] (numeric) = 1.2619424766877719920553640181318
absolute error = 2.68389471762487e-17
relative error = 2.1267964009495143941424771722188e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.611
y[1] (analytic) = 1.2625228496188613194398566789066
y[1] (numeric) = 1.2625228496188612925992983735482
absolute error = 2.68405583053584e-17
relative error = 2.1259463393839726407601050455953e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.612
y[1] (analytic) = 1.263103196719022619615893588853
y[1] (numeric) = 1.2631031967190225927737272589822
absolute error = 2.68421663298708e-17
relative error = 2.1250968566618109413647018987888e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.613
y[1] (analytic) = 1.2636835180048541065177971205414
y[1] (numeric) = 1.2636835180048540796740258637782
absolute error = 2.68437712567632e-17
relative error = 2.1242479524576727716476856215154e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.614
y[1] (analytic) = 1.2642638134929379741261201852873
y[1] (numeric) = 1.2642638134929379472807470922924
absolute error = 2.68453730929949e-17
relative error = 2.1233996264455175779675552490159e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.615
y[1] (analytic) = 1.2648440831998404438467963436861
y[1] (numeric) = 1.2648440831998404169998244981785
absolute error = 2.68469718455076e-17
relative error = 2.1225518782986537405124152210348e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.616
y[1] (analytic) = 1.2654243271421117850183782013117
y[1] (numeric) = 1.2654243271421117581698106800868
absolute error = 2.68485675212249e-17
relative error = 2.1217047076897003235092068406783e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.737
Order of pole = 1.655
memory used=183.1MB, alloc=4.4MB, time=22.93
x[1] = 1.617
y[1] (analytic) = 1.2660045453362863353863747303714
y[1] (numeric) = 1.2660045453362863085362146033187
absolute error = 2.68501601270527e-17
relative error = 2.1208581142906200205393024764774e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.618
y[1] (analytic) = 1.2665847377988825215447508393541
y[1] (numeric) = 1.2665847377988824946930011694746
absolute error = 2.68517496698795e-17
relative error = 2.1200120977727441141791789389564e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.619
y[1] (analytic) = 1.2671649045464028793446523705736
y[1] (numeric) = 1.267164904546402852491316213998
absolute error = 2.68533361565756e-17
relative error = 2.1191666578067105592463833836219e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.62
y[1] (analytic) = 1.267745045595334074270419563738
y[1] (numeric) = 1.2677450455953340474154999697439
absolute error = 2.68549195939941e-17
relative error = 2.1183217940625442205730891915685e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.621
y[1] (analytic) = 1.2683251609621469217829518822634
y[1] (numeric) = 1.268325160962146894926451893293
absolute error = 2.68564999889704e-17
relative error = 2.1174775062096186244982903758824e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.094
Order of pole = 0.9914
x[1] = 1.622
y[1] (analytic) = 1.2689052506632964076304869580074
y[1] (numeric) = 1.268905250663296380772409609685
absolute error = 2.68580773483224e-17
relative error = 2.1166337939166729810801731274367e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.623
y[1] (analytic) = 1.269485314715221708126856269409
y[1] (numeric) = 1.2694853147152216812672045905584
absolute error = 2.68596516788506e-17
relative error = 2.1157906568518212825639644774931e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.936
Order of pole = 1.294
x[1] = 1.624
y[1] (analytic) = 1.2700653531343462103972800276999
y[1] (numeric) = 1.2700653531343461835360570403619
absolute error = 2.68612229873380e-17
relative error = 2.1149480946825456298329966362294e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.625
y[1] (analytic) = 1.270645365937077532591763605884
y[1] (numeric) = 1.2706453659370775057289723253337
absolute error = 2.68627912805503e-17
relative error = 2.1141061070757131873253336080416e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.626
y[1] (analytic) = 1.2712253531398075440661577055759
y[1] (numeric) = 1.27122535313980751720180114034
absolute error = 2.68643565652359e-17
relative error = 2.1132646936975773588213046654865e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.734
Order of pole = 1.647
x[1] = 1.627
y[1] (analytic) = 1.2718053147589123855309443175384
y[1] (numeric) = 1.2718053147589123586650254694125
absolute error = 2.68659188481259e-17
relative error = 2.1124238542137789601547059331274e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.235
Order of pole = 1.035
x[1] = 1.628
y[1] (analytic) = 1.2723852508107524891678103928657
y[1] (numeric) = 1.2723852508107524623003322569313
absolute error = 2.68674781359344e-17
relative error = 2.1115835882893709666223304341566e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.629
y[1] (analytic) = 1.2729651613116725987140710032187
y[1] (numeric) = 1.2729651613116725718450365678607
absolute error = 2.68690344353580e-17
relative error = 2.1107438955887803474945085935343e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.63
y[1] (analytic) = 1.2735450462780017895150036303367
y[1] (numeric) = 1.2735450462780017626444158772602
absolute error = 2.68705877530765e-17
relative error = 2.1099047757758642301122478409911e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.648
Order of pole = 1.603
x[1] = 1.631
y[1] (analytic) = 1.2741249057260534885441550872151
y[1] (numeric) = 1.2741249057260534616720169914628
absolute error = 2.68721380957523e-17
relative error = 2.1090662285138638799442076333088e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 38.35
Order of pole = 75.5
x[1] = 1.632
y[1] (analytic) = 1.2747047396721254943916824358627
y[1] (numeric) = 1.2747047396721254675179969658315
absolute error = 2.68736854700312e-17
relative error = 2.1082282534654686357520545027029e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.601
Order of pole = 0.6306
x[1] = 1.633
y[1] (analytic) = 1.2752845481324999972207891294203
y[1] (numeric) = 1.2752845481324999703455592468785
absolute error = 2.68752298825418e-17
relative error = 2.1073908502927698910636307255939e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.634
y[1] (analytic) = 1.2758643311234435986923174696472
y[1] (numeric) = 1.2758643311234435718155461297514
absolute error = 2.68767713398958e-17
relative error = 2.1065540186572857416900240714228e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.647
Order of pole = 0.638
x[1] = 1.635
y[1] (analytic) = 1.2764440886612073318575583343517
y[1] (numeric) = 1.2764440886612073049792484856636
absolute error = 2.68783098486881e-17
relative error = 2.1057177582199698976883776986049e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.636
y[1] (analytic) = 1.2770238207620266810193389932601
y[1] (numeric) = 1.2770238207620266541394935777635
absolute error = 2.68798454154966e-17
relative error = 2.1048820686411970790773723467625e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.637
y[1] (analytic) = 1.2776035274421216015614496950864
y[1] (numeric) = 1.2776035274421215746800716482036
absolute error = 2.68813780468828e-17
relative error = 2.1040469495808110686992875005882e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.638
y[1] (analytic) = 1.2781832087176965397464695731747
y[1] (numeric) = 1.2781832087176965128635618237836
absolute error = 2.68829077493911e-17
relative error = 2.1032124006980709276123812512418e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.639
y[1] (analytic) = 1.2787628646049404524820522820474
y[1] (numeric) = 1.2787628646049404255976177524978
absolute error = 2.68844345295496e-17
relative error = 2.1023784216517146577987494892187e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.64
y[1] (analytic) = 1.2793424951200268270557316424878
y[1] (numeric) = 1.2793424951200268001697732486185
absolute error = 2.68859583938693e-17
relative error = 2.1015450120998976277129371251241e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.641
y[1] (analytic) = 1.2799221002791137008383074384372
y[1] (numeric) = 1.2799221002791136739508280895921
absolute error = 2.68874793488451e-17
relative error = 2.1007121717002717988545234179988e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.642
y[1] (analytic) = 1.2805016800983436809558713749671
y[1] (numeric) = 1.280501680098343654066873974012
absolute error = 2.68889974009551e-17
relative error = 2.0998799001099319768623355476284e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.643
y[1] (analytic) = 1.2810812345938439639305330729186
y[1] (numeric) = 1.2810812345938439370400205162576
absolute error = 2.68905125566610e-17
relative error = 2.0990481969854480736394294053597e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.644
y[1] (analytic) = 1.2816607637817263552899058424679
y[1] (numeric) = 1.2816607637817263283978810200598
absolute error = 2.68920248224081e-17
relative error = 2.0982170619828660725950925031029e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.645
y[1] (analytic) = 1.282240267678087289145411844884
y[1] (numeric) = 1.2822402676780872622518776402587
absolute error = 2.68935342046253e-17
relative error = 2.0973864947577089914300340394105e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.646
y[1] (analytic) = 1.2828197462990078477394661190897
y[1] (numeric) = 1.2828197462990078208444254093648
absolute error = 2.68950407097249e-17
relative error = 2.0965564949649622518176671423513e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.647
y[1] (analytic) = 1.2833991996605537809615988173218
y[1] (numeric) = 1.2833991996605537540650544732184
absolute error = 2.68965443441034e-17
relative error = 2.0957270622591370069580221438320e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.9915
Order of pole = 0.5496
x[1] = 1.648
y[1] (analytic) = 1.2839786277787755258335748622015
y[1] (numeric) = 1.2839786277787754989355297480608
absolute error = 2.68980451141407e-17
relative error = 2.0948981962942086851521790178980e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=186.9MB, alloc=4.4MB, time=23.43
x[1] = 1.649
y[1] (analytic) = 1.2845580306697082259635701058852
y[1] (numeric) = 1.2845580306697081990640270796847
absolute error = 2.68995430262005e-17
relative error = 2.0940698967236491172154273809411e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.756
Order of pole = 0.6555
x[1] = 1.65
y[1] (analytic) = 1.285137408349371750969462940651
y[1] (numeric) = 1.2851374083493717240684248540203
absolute error = 2.69010380866307e-17
relative error = 2.0932421632004585771419311786701e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.816
Order of pole = 0.8996
x[1] = 1.651
y[1] (analytic) = 1.2857167608337707158713001792988
y[1] (numeric) = 1.2857167608337706889687698775362
absolute error = 2.69025303017626e-17
relative error = 2.0924149953771044031537618024932e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.652
y[1] (analytic) = 1.2862960881388945004529958931002
y[1] (numeric) = 1.2862960881388944735489762151884
absolute error = 2.69040196779118e-17
relative error = 2.0915883929055919472049994349720e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.653
y[1] (analytic) = 1.2868753902807172685933217647146
y[1] (numeric) = 1.286875390280717241687815543337
absolute error = 2.69055062213776e-17
relative error = 2.0907623554374187716060589573757e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.654
y[1] (analytic) = 1.2874546672751979875662473835106
y[1] (numeric) = 1.287454667275197960659257445067
absolute error = 2.69069899384436e-17
relative error = 2.0899368826236221766412709014257e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.655
y[1] (analytic) = 1.2880339191382804473106887810742
y[1] (numeric) = 1.2880339191382804204022179456968
absolute error = 2.69084708353774e-17
relative error = 2.0891119741147567261676245948645e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.656
y[1] (analytic) = 1.2886131458858932796697233753622
y[1] (numeric) = 1.2886131458858932527597744569316
absolute error = 2.69099489184306e-17
relative error = 2.0882876295608951148442508372355e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.657
y[1] (analytic) = 1.2891923475339499775993293629627
y[1] (numeric) = 1.2891923475339499506879051691235
absolute error = 2.69114241938392e-17
relative error = 2.0874638486116600603698698889636e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.658
y[1] (analytic) = 1.2897715240983489143467074702519
y[1] (numeric) = 1.2897715240983488874338108024288
absolute error = 2.69128966678231e-17
relative error = 2.0866406309161863301594060894598e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.8722
Order of pole = 0.5381
x[1] = 1.659
y[1] (analytic) = 1.2903506755949733625982428458958
y[1] (numeric) = 1.2903506755949733356838764993091
absolute error = 2.69143663465867e-17
relative error = 2.0858179761231681186032140110493e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.66
y[1] (analytic) = 1.2909298020396915135971647491218
y[1] (numeric) = 1.2909298020396914866813315128033
absolute error = 2.69158332363185e-17
relative error = 2.0849958838808288334216576928865e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.661
y[1] (analytic) = 1.291508903448356496230961560494
y[1] (numeric) = 1.2915089034483564693136642173025
absolute error = 2.69172973431915e-17
relative error = 2.0841743538369529065331077151746e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.662
y[1] (analytic) = 1.2920879798368063960886085145503
y[1] (numeric) = 1.2920879798368063691698498411871
absolute error = 2.69187586733632e-17
relative error = 2.0833533856388865619068826039230e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.663
y[1] (analytic) = 1.2926670312208642744876654266117
y[1] (numeric) = 1.2926670312208642475674481936364
absolute error = 2.69202172329753e-17
relative error = 2.0825329789335153736981263654707e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.664
y[1] (analytic) = 1.2932460576163381874713015593452
y[1] (numeric) = 1.2932460576163381605496285311911
absolute error = 2.69216730281541e-17
relative error = 2.0817131333672960122121578019823e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.665
y[1] (analytic) = 1.293825059039021204775304648252
y[1] (numeric) = 1.2938250590390211778521785832417
absolute error = 2.69231260650103e-17
relative error = 2.0808938485862415306787194359869e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.01
Order of pole = 0.9524
x[1] = 1.666
y[1] (analytic) = 1.2944040355046914287651309791661
y[1] (numeric) = 1.2944040355046914018405546295267
absolute error = 2.69245763496394e-17
relative error = 2.0800751242359530450710851903335e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.408
Order of pole = 1.079
x[1] = 1.667
y[1] (analytic) = 1.2949829870291120133430532850752
y[1] (numeric) = 1.2949829870291119864170293969539
absolute error = 2.69260238881213e-17
relative error = 2.0792569599615895522478874039632e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.668
y[1] (analytic) = 1.2955619136280311828254631041265
y[1] (numeric) = 1.2955619136280311558979944176059
absolute error = 2.69274686865206e-17
relative error = 2.0784393554078918598097045024060e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 10.16
Order of pole = 5.644
x[1] = 1.669
y[1] (analytic) = 1.296140815317182250790384115542
y[1] (numeric) = 1.2961408153171822238614733646553
absolute error = 2.69289107508867e-17
relative error = 2.0776223102191910215807526487794e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.67
y[1] (analytic) = 1.296719692112283638895252845347
y[1] (numeric) = 1.2967196921122836119649027580934
absolute error = 2.69303500872536e-17
relative error = 2.0768058240393936153766705552175e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.671
y[1] (analytic) = 1.2972985440290388956650230093138
y[1] (numeric) = 1.2972985440290388687332363076736
absolute error = 2.69317867016402e-17
relative error = 2.0759898965120056019993081521571e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.672
y[1] (analytic) = 1.2978773710831367152506496363281
y[1] (numeric) = 1.2978773710831366883174290362779
absolute error = 2.69332206000502e-17
relative error = 2.0751745272801253010135968824941e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.673
y[1] (analytic) = 1.2984561732902509561580089915094
y[1] (numeric) = 1.2984561732902509292233572030374
absolute error = 2.69346517884720e-17
relative error = 2.0743597159864363854961478698487e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.674
y[1] (analytic) = 1.2990349506660406599473101948516
y[1] (numeric) = 1.2990349506660406330112299219723
absolute error = 2.69360802728793e-17
relative error = 2.0735454622732547818492266055833e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.675
y[1] (analytic) = 1.2996137032261500699030543078934
y[1] (numeric) = 1.2996137032261500429655482486631
absolute error = 2.69375060592303e-17
relative error = 2.0727317657824677201622378830040e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.676
y[1] (analytic) = 1.3001924309862086496745965379891
y[1] (numeric) = 1.3001924309862086227356673845205
absolute error = 2.69389291534686e-17
relative error = 2.0719186261556036974184174273264e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.677
y[1] (analytic) = 1.3007711339618311018873670871095
y[1] (numeric) = 1.3007711339618310749470175255869
absolute error = 2.69403495615226e-17
relative error = 2.0711060430337869379080293541621e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 21.93
Order of pole = 24.31
x[1] = 1.678
y[1] (analytic) = 1.301349812168617386724806049785
y[1] (numeric) = 1.3013498121686173597830387604792
absolute error = 2.69417672893058e-17
relative error = 2.0702940160577611342985591216652e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.679
y[1] (analytic) = 1.3019284656221527404810676427791
y[1] (numeric) = 1.3019284656221527135378853000622
absolute error = 2.69431823427169e-17
relative error = 2.0694825448678977637474908259361e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 15.91
Order of pole = 13.02
x[1] = 1.68
y[1] (analytic) = 1.3025070943380076940845489273748
y[1] (numeric) = 1.302507094338007667139954199735
absolute error = 2.69445947276398e-17
relative error = 2.0686716291041967045350796522005e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=190.7MB, alloc=4.4MB, time=23.92
x[1] = 1.681
y[1] (analytic) = 1.3030856983317380915922980637485
y[1] (numeric) = 1.303085698331738064646293613805
absolute error = 2.69460044499435e-17
relative error = 2.0678612684062791771514570855041e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.682
y[1] (analytic) = 1.3036642776188851086553570158102
y[1] (numeric) = 1.3036642776188850817079455003279
absolute error = 2.69474115154823e-17
relative error = 2.0670514624134037164294147659433e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.645
Order of pole = 1.156
x[1] = 1.683
y[1] (analytic) = 1.3042428322149752709550935040918
y[1] (numeric) = 1.3042428322149752440062775739961
absolute error = 2.69488159300957e-17
relative error = 2.0662422107644590995015405116670e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.684
y[1] (analytic) = 1.3048213621355204726105768837766
y[1] (numeric) = 1.3048213621355204456603591841677
absolute error = 2.69502176996089e-17
relative error = 2.0654335130980032760677890064269e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.685
y[1] (analytic) = 1.3053998673960179945570525047707
y[1] (numeric) = 1.3053998673960179676054356749388
absolute error = 2.69516168298319e-17
relative error = 2.0646253690521949485048747457491e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.9484
Order of pole = 0.5443
x[1] = 1.686
y[1] (analytic) = 1.3059783480119505228955689908376
y[1] (numeric) = 1.3059783480119504959425556642769
absolute error = 2.69530133265607e-17
relative error = 2.0638177782648861330039165025167e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.687
y[1] (analytic) = 1.3065568039987861672138127552232
y[1] (numeric) = 1.3065568039987861402594055596468
absolute error = 2.69544071955764e-17
relative error = 2.0630107403735537472084695074699e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.688
y[1] (analytic) = 1.3071352353719784788782039509204
y[1] (numeric) = 1.3071352353719784519224055082747
absolute error = 2.69557984426457e-17
relative error = 2.0622042550153384841494496165517e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.689
y[1] (analytic) = 1.3077136421469664692973079347318
y[1] (numeric) = 1.3077136421469664423401208612111
absolute error = 2.69571870735207e-17
relative error = 2.0613983218270300546621396233683e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.69
y[1] (analytic) = 1.3082920243391746281566162056041
y[1] (numeric) = 1.3082920243391746011980431116649
absolute error = 2.69585730939392e-17
relative error = 2.0605929404450906869110347524473e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.691
y[1] (analytic) = 1.308870381964012941624750659316
y[1] (numeric) = 1.3088703819640129146647941496911
absolute error = 2.69599565096249e-17
relative error = 2.0597881105056709236265781123569e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.692
y[1] (analytic) = 1.3094487150368769105311448835083
y[1] (numeric) = 1.3094487150368768835698075572216
absolute error = 2.69613373262867e-17
relative error = 2.0589838316445566464627595630228e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.693
y[1] (analytic) = 1.3100270235731475685152560992502
y[1] (numeric) = 1.3100270235731475415525405496308
absolute error = 2.69627155496194e-17
relative error = 2.0581801034972231088961959746539e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.3572
Order of pole = 0.5063
x[1] = 1.694
y[1] (analytic) = 1.3106053075881915001473612378292
y[1] (numeric) = 1.3106053075881914731832700525255
absolute error = 2.69640911853037e-17
relative error = 2.0573769256988354158286922288942e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.376
Order of pole = 0.5929
x[1] = 1.695
y[1] (analytic) = 1.3111835670973608590209905242474
y[1] (numeric) = 1.3111835670973608320555262852416
absolute error = 2.69654642390058e-17
relative error = 2.0565742978842184953325471566747e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.368
Order of pole = 0.5916
x[1] = 1.696
y[1] (analytic) = 1.3117618021159933858170518219917
y[1] (numeric) = 1.3117618021159933588502171056139
absolute error = 2.69668347163778e-17
relative error = 2.0557722196878881366982858476520e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.697
y[1] (analytic) = 1.3123400126594124263396988770227
y[1] (numeric) = 1.3123400126594123993714962539649
absolute error = 2.69682026230578e-17
relative error = 2.0549706907440590866930703752680e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.698
y[1] (analytic) = 1.3129181987429269495239964825971
y[1] (numeric) = 1.3129181987429269225544285179274
absolute error = 2.69695679646697e-17
relative error = 2.0541697106866302747636919964617e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.728
Order of pole = 0.5259
x[1] = 1.699
y[1] (analytic) = 1.3134963603818315654154354705004
y[1] (numeric) = 1.313496360381831538444504723677
absolute error = 2.69709307468234e-17
relative error = 2.0533692791492005305340141637948e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.355
Order of pole = 1.901
x[1] = 1.7
y[1] (analytic) = 1.3140744975914065431213503185162
y[1] (numeric) = 1.3140744975914065161490593434014
absolute error = 2.69722909751148e-17
relative error = 2.0525693957650690401717017180975e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.701
y[1] (analytic) = 1.3146526103869178287342920484992
y[1] (numeric) = 1.3146526103869178017606433933736
absolute error = 2.69736486551256e-17
relative error = 2.0517700601672205886071083466907e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.702
y[1] (analytic) = 1.3152306987836170632274089742488
y[1] (numeric) = 1.3152306987836170362524051818249
absolute error = 2.69750037924239e-17
relative error = 2.0509712719883716667026036455921e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.703
y[1] (analytic) = 1.3158087627967416003218877434942
y[1] (numeric) = 1.3158087627967415733455313509307
absolute error = 2.69763563925635e-17
relative error = 2.0501730308609176585306075934138e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.704
y[1] (analytic) = 1.3163868024415145243265070037091
y[1] (numeric) = 1.3163868024415144973488005426242
absolute error = 2.69777064610849e-17
relative error = 2.0493753364170093093772668108973e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.705
y[1] (analytic) = 1.3169648177331446679493559071582
y[1] (numeric) = 1.316964817733144640970301903644
absolute error = 2.69790540035142e-17
relative error = 2.0485781882884695350057760111684e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.83
Order of pole = 1.636
x[1] = 1.706
y[1] (analytic) = 1.3175428086868266300817695565598
y[1] (numeric) = 1.3175428086868266031013705311957
absolute error = 2.69803990253641e-17
relative error = 2.0477815861068698377128688916859e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.289
Order of pole = 0.5809
x[1] = 1.707
y[1] (analytic) = 1.3181207753177407935545333789997
y[1] (numeric) = 1.3181207753177407665727918468664
absolute error = 2.69817415321333e-17
relative error = 2.0469855295034851366035983569053e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.708
y[1] (analytic) = 1.3186987176410533428664083022822
y[1] (numeric) = 1.3186987176410533158833267729752
absolute error = 2.69830815293070e-17
relative error = 2.0461900181093321324215227058466e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.709
y[1] (analytic) = 1.3192766356719162818850284947242
y[1] (numeric) = 1.3192766356719162549006094723674
absolute error = 2.69844190223568e-17
relative error = 2.0453950515551620922726485768573e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.2448
Order of pole = 0.5029
x[1] = 1.71
y[1] (analytic) = 1.3198545294254674515202233165088
y[1] (numeric) = 1.3198545294254674245344692997686
absolute error = 2.69857540167402e-17
relative error = 2.0446006294714233471423342827730e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.711
y[1] (analytic) = 1.3204323989168305473698150181059
y[1] (numeric) = 1.3204323989168305203827285002043
absolute error = 2.69870865179016e-17
relative error = 2.0438067514883374872439505582647e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.712
y[1] (analytic) = 1.3210102441611151373379436089313
y[1] (numeric) = 1.3210102441611151103495270776596
absolute error = 2.69884165312717e-17
relative error = 2.0430134172358542381589463705864e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
memory used=194.5MB, alloc=4.4MB, time=24.40
x[1] = 1.713
y[1] (analytic) = 1.3215880651734166792259702073722
y[1] (numeric) = 1.3215880651734166522362261451046
absolute error = 2.69897440622676e-17
relative error = 2.0422206263436594221458118660218e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.995
Order of pole = 0.5479
x[1] = 1.714
y[1] (analytic) = 1.3221658619688165382960100715308
y[1] (numeric) = 1.3221658619688165113049409552377
absolute error = 2.69910691162931e-17
relative error = 2.0414283784411980254717538286693e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.715
y[1] (analytic) = 1.3227436345623820048071463985448
y[1] (numeric) = 1.3227436345623819778147546998065
absolute error = 2.69923916987383e-17
relative error = 2.0406366731576442851862694789580e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.634
Order of pole = 2.035
x[1] = 1.716
y[1] (analytic) = 1.323321382969166311524375869131
y[1] (numeric) = 1.3233213829691662845306640541509
absolute error = 2.69937118149801e-17
relative error = 2.0398455101219398651533015269169e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.717
y[1] (analytic) = 1.3238991072042086512003368030534
y[1] (numeric) = 1.3238991072042086242053073326713
absolute error = 2.69950294703821e-17
relative error = 2.0390548889627866116548840750354e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.718
y[1] (analytic) = 1.3244768072825341940298706805586
y[1] (numeric) = 1.3244768072825341670335260102643
absolute error = 2.69963446702943e-17
relative error = 2.0382648093086242278627834058549e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.719
y[1] (analytic) = 1.3250544832191541050774676744302
y[1] (numeric) = 1.3250544832191540780798102543767
absolute error = 2.69976574200535e-17
relative error = 2.0374752707876608349341806451135e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.215
Order of pole = 2.364
x[1] = 1.72
y[1] (analytic) = 1.3256321350290655616776467272002
y[1] (numeric) = 1.3256321350290655346786790022167
absolute error = 2.69989677249835e-17
relative error = 2.0366862730278883662648171008152e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.721
y[1] (analytic) = 1.3262097627272517708083205982144
y[1] (numeric) = 1.3262097627272517438080450078197
absolute error = 2.70002755903947e-17
relative error = 2.0358978156570526800108236461794e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.722
y[1] (analytic) = 1.3267873663286819864371961956824
y[1] (numeric) = 1.3267873663286819594356151740982
absolute error = 2.70015810215842e-17
relative error = 2.0351098983026614349053734546611e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 9.205
Order of pole = 4.581
x[1] = 1.723
y[1] (analytic) = 1.3273649458483115268412603995457
y[1] (numeric) = 1.3273649458483114998383763757095
absolute error = 2.70028840238362e-17
relative error = 2.0343225205920145468878769733046e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.724
y[1] (analytic) = 1.3279425013010817918994014719718
y[1] (numeric) = 1.3279425013010817648952168695503
absolute error = 2.70041846024215e-17
relative error = 2.0335356821521667924432624976777e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.725
y[1] (analytic) = 1.3285200327019202803582160435314
y[1] (numeric) = 1.3285200327019202533527332809333
absolute error = 2.70054827625981e-17
relative error = 2.0327493826099733085999993134507e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.726
y[1] (analytic) = 1.3290975400657406070710515546272
y[1] (numeric) = 1.3290975400657405800642730450163
absolute error = 2.70067785096109e-17
relative error = 2.0319636215920672593903416732852e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.727
y[1] (analytic) = 1.3296750234074425202103339235307
y[1] (numeric) = 1.3296750234074424932022620748389
absolute error = 2.70080718486918e-17
relative error = 2.0311783987248676432622961428434e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.728
y[1] (analytic) = 1.3302524827419119184532301044348
y[1] (numeric) = 1.3302524827419118914438673193752
absolute error = 2.70093627850596e-17
relative error = 2.0303937136345720456261447874870e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.729
y[1] (analytic) = 1.3308299180840208681406950912505
y[1] (numeric) = 1.3308299180840208411300437673301
absolute error = 2.70106513239204e-17
relative error = 2.0296095659471869810207092177894e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.73
y[1] (analytic) = 1.3314073294486276204099528154626
y[1] (numeric) = 1.3314073294486275933980153449953
absolute error = 2.70119374704673e-17
relative error = 2.0288259552885055805885295795677e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.6397
Order of pole = 0.5196
x[1] = 1.731
y[1] (analytic) = 1.3319847168505766283004602792137
y[1] (numeric) = 1.3319847168505766012872390493332
absolute error = 2.70132212298805e-17
relative error = 2.0280428812841153681740943563556e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.732
y[1] (analytic) = 1.3325620803046985638334041579022
y[1] (numeric) = 1.3325620803046985368189015505747
absolute error = 2.70145026073275e-17
relative error = 2.0272603435594135207577219934322e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.733
y[1] (analytic) = 1.333139419825810335064778999965
y[1] (numeric) = 1.333139419825810308048997392002
absolute error = 2.70157816079630e-17
relative error = 2.0264783417395995861753927647878e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.734
y[1] (analytic) = 1.3337167354287151031120960451593
y[1] (numeric) = 1.3337167354287150760950378082306
absolute error = 2.70170582369287e-17
relative error = 2.0256968754496607221230885460626e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.735
y[1] (analytic) = 1.3342940271282022991547715765722
y[1] (numeric) = 1.3342940271282022721364390772182
absolute error = 2.70183324993540e-17
relative error = 2.0249159443144244250924278301620e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.736
y[1] (analytic) = 1.334871294939047641408243615752
y[1] (numeric) = 1.3348712949390476143886392153966
absolute error = 2.70196044003554e-17
relative error = 2.0241355479585137350320269126870e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.737
y[1] (analytic) = 1.3354485388760131520718656647961
y[1] (numeric) = 1.3354485388760131250509917197593
absolute error = 2.70208739450368e-17
relative error = 2.0233556860063699494940985640375e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.738
y[1] (analytic) = 1.3360257589538471742506260939188
y[1] (numeric) = 1.3360257589538471472284849554294
absolute error = 2.70221411384894e-17
relative error = 2.0225763580822453395671191924734e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 17.76
Order of pole = 15.54
x[1] = 1.739
y[1] (analytic) = 1.336602955187284388850741667981
y[1] (numeric) = 1.3366029551872843618273356821889
absolute error = 2.70234059857921e-17
relative error = 2.0217975638102332931636247039397e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.74
y[1] (analytic) = 1.337180127591045831449173600674
y[1] (numeric) = 1.337180127591045804424505108663
absolute error = 2.70246684920110e-17
relative error = 2.0210193028142310746391564033371e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.741
y[1] (analytic) = 1.3377572761798389091371144205268
y[1] (numeric) = 1.337757276179838882111185758327
absolute error = 2.70259286621998e-17
relative error = 2.0202415747179699578096512982458e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.742
y[1] (analytic) = 1.338334400968357417337493828632
y[1] (numeric) = 1.3383344009683573903103073272324
absolute error = 2.70271865013996e-17
relative error = 2.0194643791450004493690679484003e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.743
y[1] (analytic) = 1.3389115019712815565965516239775
y[1] (numeric) = 1.3389115019712815295681096093382
absolute error = 2.70284420146393e-17
relative error = 2.0186877157187223632597523333737e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.744
y[1] (analytic) = 1.3394885792032779493495256685126
y[1] (numeric) = 1.3394885792032779223198304615772
absolute error = 2.70296952069354e-17
relative error = 2.0179115840623700243010048374308e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.6518
Order of pole = 0.5202
memory used=198.3MB, alloc=4.4MB, time=24.89
x[1] = 1.745
y[1] (analytic) = 1.340065632678999656660502760579
y[1] (numeric) = 1.3400656326789996296295566772872
absolute error = 2.70309460832918e-17
relative error = 2.0171359837989975102674189256583e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.746
y[1] (analytic) = 1.3406426624130861949364801820926
y[1] (numeric) = 1.3406426624130861679042855333923
absolute error = 2.70321946487003e-17
relative error = 2.0163609145515161460595626949183e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.747
y[1] (analytic) = 1.3412196684201635526156855818702
y[1] (numeric) = 1.3412196684201635255822446737299
absolute error = 2.70334409081403e-17
relative error = 2.0155863759426722541024890537637e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.748
y[1] (analytic) = 1.3417966507148442068302027547607
y[1] (numeric) = 1.3417966507148441797955178881819
absolute error = 2.70346848665788e-17
relative error = 2.0148123675950473204526449598568e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.749
y[1] (analytic) = 1.3423736093117271400429507737564
y[1] (numeric) = 1.3423736093117271130070242447855
absolute error = 2.70359265289709e-17
relative error = 2.0140388891310954081457079768081e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.75
y[1] (analytic) = 1.3429505442253978566590638300268
y[1] (numeric) = 1.3429505442253978296218979297673
absolute error = 2.70371659002595e-17
relative error = 2.0132659401731209039968068384932e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.513
Order of pole = 0.6084
x[1] = 1.751
y[1] (analytic) = 1.3435274554704283996117190338406
y[1] (numeric) = 1.3435274554704283725733160484657
absolute error = 2.70384029853749e-17
relative error = 2.0124935203432488798645137528001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.752
y[1] (analytic) = 1.3441043430613773669224593276124
y[1] (numeric) = 1.3441043430613773398828215383767
absolute error = 2.70396377892357e-17
relative error = 2.0117216292634922491392075981951e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.11
Order of pole = 0.7105
x[1] = 1.753
y[1] (analytic) = 1.3446812070127899282360585608292
y[1] (numeric) = 1.3446812070127899011951882440808
absolute error = 2.70408703167484e-17
relative error = 2.0109502665557220733913844910834e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.754
y[1] (analytic) = 1.3452580473391978413299756753869
y[1] (numeric) = 1.3452580473391978142878751025797
absolute error = 2.70421005728072e-17
relative error = 2.0101794318416528126766108810332e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.755
y[1] (analytic) = 1.3458348640551194685984448488848
y[1] (numeric) = 1.3458348640551194415551162865905
absolute error = 2.70433285622943e-17
relative error = 2.0094091247428647656487721344370e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.756
y[1] (analytic) = 1.346411657175059793511248342694
y[1] (numeric) = 1.3464116571750597664666940526138
absolute error = 2.70445542900802e-17
relative error = 2.0086393448808264522078431288175e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.757
y[1] (analytic) = 1.3469884267135104370472187011316
y[1] (numeric) = 1.3469884267135104100014409401084
absolute error = 2.70457777610232e-17
relative error = 2.0078700918768575471122156498721e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.758
y[1] (analytic) = 1.3475651726849496741025168478353
y[1] (numeric) = 1.3475651726849496470555178678656
absolute error = 2.70469989799697e-17
relative error = 2.0071013653521512753309176378013e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.4589
Order of pole = 0.5099
x[1] = 1.759
y[1] (analytic) = 1.3481418951038424498737325254406
y[1] (numeric) = 1.3481418951038424228255145736864
absolute error = 2.70482179517542e-17
relative error = 2.0063331649277744972764758156377e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.76
y[1] (analytic) = 1.3487185939846403962158534249171
y[1] (numeric) = 1.3487185939846403691664187437176
absolute error = 2.70494346811995e-17
relative error = 2.0055654902246826229289820380079e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.761
y[1] (analytic) = 1.3492952693417818479751492514184
y[1] (numeric) = 1.349295269341781820924500078302
absolute error = 2.70506491731164e-17
relative error = 2.0047983408636974315531319892715e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.762
y[1] (analytic) = 1.3498719211896918592970168742438
y[1] (numeric) = 1.3498719211896918322451554419399
absolute error = 2.70518614323039e-17
relative error = 2.0040317164655219890402202004049e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.763
y[1] (analytic) = 1.3504485495427822199088326094947
y[1] (numeric) = 1.3504485495427821928557611459452
absolute error = 2.70530714635495e-17
relative error = 2.0032656166507629321961398395548e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.914
Order of pole = 0.8989
x[1] = 1.764
y[1] (analytic) = 1.3510251544154514713778575852374
y[1] (numeric) = 1.351025154415451444323578313609
absolute error = 2.70542792716284e-17
relative error = 2.0025000410398712765312179217718e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.765
y[1] (analytic) = 1.3516017358220849233442420404574
y[1] (numeric) = 1.3516017358220848962887571791525
absolute error = 2.70554848613049e-17
relative error = 2.0017349892532461456216301599532e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.66
Order of pole = 0.6293
x[1] = 1.766
y[1] (analytic) = 1.3521782937770546697291743107966
y[1] (numeric) = 1.3521782937770546426724860734656
absolute error = 2.70566882373310e-17
relative error = 2.0009704609111311620196725637881e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.767
y[1] (analytic) = 1.3527548282947196049182201560257
y[1] (numeric) = 1.3527548282947195778603307515783
absolute error = 2.70578894044474e-17
relative error = 2.0002064556336885190852675831812e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.834
Order of pole = 1.595
x[1] = 1.768
y[1] (analytic) = 1.3533313393894254399198979863888
y[1] (numeric) = 1.3533313393894254128608096190058
absolute error = 2.70590883673830e-17
relative error = 1.9994429730409620260990458251735e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.332
Order of pole = 1.378
x[1] = 1.769
y[1] (analytic) = 1.3539078270755047184995354473956
y[1] (numeric) = 1.3539078270755046914392503165404
absolute error = 2.70602851308552e-17
relative error = 1.9986800127528993362311394759108e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.523
Order of pole = 1.457
x[1] = 1.77
y[1] (analytic) = 1.3544842913672768332884527253053
y[1] (numeric) = 1.3544842913672768062269730257353
absolute error = 2.70614796995700e-17
relative error = 1.9979175743893593521985921791378e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.771
y[1] (analytic) = 1.3550607322790480418685178384539
y[1] (numeric) = 1.3550607322790480148058457602322
absolute error = 2.70626720782217e-17
relative error = 1.9971556575700900942707224905632e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.772
y[1] (analytic) = 1.355637149825111482832119082727
y[1] (numeric) = 1.3556371498251114557682568112337
absolute error = 2.70638622714933e-17
relative error = 1.9963942619147582611975027039080e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.17
Order of pole = 0.9693
x[1] = 1.773
y[1] (analytic) = 1.3562135440197471918175997028595
y[1] (numeric) = 1.3562135440197471647525494188033
absolute error = 2.70650502840562e-17
relative error = 1.9956333870429271016839639591899e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.774
y[1] (analytic) = 1.3567899148772221175201997648656
y[1] (numeric) = 1.3567899148772220904539636442952
absolute error = 2.70662361205704e-17
relative error = 1.9948730325740711941800525687361e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.775
y[1] (analytic) = 1.3573662624117901376785501087568
y[1] (numeric) = 1.3573662624117901106111303230719
absolute error = 2.70674197856849e-17
relative error = 1.9941131981276059236518870289665e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.15
Order of pole = 0.9626
x[1] = 1.776
y[1] (analytic) = 1.3579425866376920750367631647938
y[1] (numeric) = 1.3579425866376920479681618807571
absolute error = 2.70686012840367e-17
relative error = 1.9933538833228137863711455798069e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 8.281
Order of pole = 3.695
memory used=202.1MB, alloc=4.4MB, time=25.38
x[1] = 1.777
y[1] (analytic) = 1.3585188875691557132821653208458
y[1] (numeric) = 1.3585188875691556862123847005939
absolute error = 2.70697806202519e-17
relative error = 1.9925950877789254626186487900411e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.778
y[1] (analytic) = 1.3590951652203958129587154329831
y[1] (numeric) = 1.3590951652203957858877576340379
absolute error = 2.70709577989452e-17
relative error = 1.9918368111150829579569551152320e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.779
y[1] (analytic) = 1.359671419605614127356153976224
y[1] (numeric) = 1.3596714196056141002840211515036
absolute error = 2.70721328247204e-17
relative error = 1.9910790529503763856422875277069e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.78
y[1] (analytic) = 1.3602476507389994183749272373754
y[1] (numeric) = 1.360247650738999391301621535206
absolute error = 2.70733057021694e-17
relative error = 1.9903218129037703817280499908214e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.781
y[1] (analytic) = 1.3608238586347274723669308571653
y[1] (numeric) = 1.3608238586347274452924544212919
absolute error = 2.70744764358734e-17
relative error = 1.9895650905941923741152284180619e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.782
y[1] (analytic) = 1.3614000433069611159521169343458
y[1] (numeric) = 1.3614000433069610888764719039435
absolute error = 2.70756450304023e-17
relative error = 1.9888088856404884108324576930181e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.794
Order of pole = 0.6493
x[1] = 1.783
y[1] (analytic) = 1.3619762047698502318110088101638
y[1] (numeric) = 1.3619762047698502047341973198487
absolute error = 2.70768114903151e-17
relative error = 1.9880531976614525233861673670606e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.784
y[1] (analytic) = 1.3625523430375317744531675575408
y[1] (numeric) = 1.3625523430375317473751917373816
absolute error = 2.70779758201592e-17
relative error = 1.9872980262757752849914497175804e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.785
y[1] (analytic) = 1.3631284581241297859616541054787
y[1] (numeric) = 1.3631284581241297588825160810074
absolute error = 2.70791380244713e-17
relative error = 1.9865433711021098765304717154163e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.786
y[1] (analytic) = 1.3637045500437554117135308356087
y[1] (numeric) = 1.3637045500437553846332327278317
absolute error = 2.70802981077770e-17
relative error = 1.9857892317590426567016198528557e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.787
y[1] (analytic) = 1.3642806188105069160764463944335
y[1] (numeric) = 1.3642806188105068889949903198427
absolute error = 2.70814560745908e-17
relative error = 1.9850356078650931264401567647227e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.788
y[1] (analytic) = 1.3648566644384696980813473716705
y[1] (numeric) = 1.3648566644384696709987354422541
absolute error = 2.70826119294164e-17
relative error = 1.9842824990387358739806717352741e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.576
Order of pole = 0.8068
x[1] = 1.789
y[1] (analytic) = 1.3654326869417163070713604021864
y[1] (numeric) = 1.36543268694171627998759472544
absolute error = 2.70837656767464e-17
relative error = 1.9835299048983785224792050098620e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.79
y[1] (analytic) = 1.3660086863343064583268881563262
y[1] (numeric) = 1.3660086863343064312419708352637
absolute error = 2.70849173210625e-17
relative error = 1.9827778250623763366423474925071e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.284
Order of pole = 0.9982
x[1] = 1.791
y[1] (analytic) = 1.3665846626302870486669625909736
y[1] (numeric) = 1.366584662630287021580895724138
absolute error = 2.70860668668356e-17
relative error = 1.9820262591490394751265923018293e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.2
Order of pole = 0.7234
x[1] = 1.792
y[1] (analytic) = 1.3671606158436921720268987414417
y[1] (numeric) = 1.3671606158436921449396844229162
absolute error = 2.70872143185255e-17
relative error = 1.9812752067766109671112769474031e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 24.94
Order of pole = 29.21
x[1] = 1.793
y[1] (analytic) = 1.3677365459885431350122922422766
y[1] (numeric) = 1.367736545988543107923932561695
absolute error = 2.70883596805816e-17
relative error = 1.9805246675633178582340065091786e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.794
y[1] (analytic) = 1.3683124530788484724294036732641
y[1] (numeric) = 1.3683124530788484453399007158221
absolute error = 2.70895029574420e-17
relative error = 1.9797746411273052952275083305543e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.795
y[1] (analytic) = 1.3688883371286039627919727353628
y[1] (numeric) = 1.3688883371286039357013285818283
absolute error = 2.70906441535345e-17
relative error = 1.9790251270867095759263245791990e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.796
y[1] (analytic) = 1.3694641981517926438045051699374
y[1] (numeric) = 1.3694641981517926167127218966616
absolute error = 2.70917832732758e-17
relative error = 1.9782761250595995769156073093078e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.797
y[1] (analytic) = 1.3700400361623848278220752435436
y[1] (numeric) = 1.3700400361623848007291549224716
absolute error = 2.70929203210720e-17
relative error = 1.9775276346640132168602469211154e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.798
y[1] (analytic) = 1.3706158511743381172866865296101
y[1] (numeric) = 1.3706158511743380901926312282916
absolute error = 2.70940553013185e-17
relative error = 1.9767796555179500521961903306164e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.799
y[1] (analytic) = 1.3711916432015974201402336276806
y[1] (numeric) = 1.3711916432015973930450454092804
absolute error = 2.70951882184002e-17
relative error = 1.9760321872393857704823225386707e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8
y[1] (analytic) = 1.3717674122580949652141073704154
y[1] (numeric) = 1.3717674122580949381177882937241
absolute error = 2.70963190766913e-17
relative error = 1.9752852294462574880136663269509e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.801
y[1] (analytic) = 1.3723431583577503175954859783063
y[1] (numeric) = 1.3723431583577502904980380977511
absolute error = 2.70974478805552e-17
relative error = 1.9745387817564563714770411367835e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.802
y[1] (analytic) = 1.3729188815144703939703545320362
y[1] (numeric) = 1.3729188815144703668717798976912
absolute error = 2.70985746343450e-17
relative error = 1.9737928437878639809023000666596e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.803
y[1] (analytic) = 1.3734945817421494779432950426022
y[1] (numeric) = 1.373494581742149450843595700199
absolute error = 2.70996993424032e-17
relative error = 1.9730474151583302758461174213032e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.804
y[1] (analytic) = 1.3740702590546692353340893097356
y[1] (numeric) = 1.374070259054669208233267300674
absolute error = 2.71008220090616e-17
relative error = 1.9723024954856662323875263312161e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 8.669
Order of pole = 3.942
x[1] = 1.805
y[1] (analytic) = 1.3746459134658987294511766697775
y[1] (numeric) = 1.3746459134658987023492340311356
absolute error = 2.71019426386419e-17
relative error = 1.9715580843876874011006357866289e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.117
Order of pole = 0.9449
x[1] = 1.806
y[1] (analytic) = 1.3752215449896944363420086450089
y[1] (numeric) = 1.375221544989694409238947409554
absolute error = 2.71030612354549e-17
relative error = 1.9708141814821555540749883184439e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.807
y[1] (analytic) = 1.3757971536399002600203424174986
y[1] (numeric) = 1.3757971536399002329161646136973
absolute error = 2.71041778038013e-17
relative error = 1.9700707863868367748632655331196e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.808
y[1] (analytic) = 1.3763727394303475476705149618012
y[1] (numeric) = 1.3763727394303475205652226138299
absolute error = 2.71052923479713e-17
relative error = 1.9693278987194722172036181758522e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.214
Order of pole = 0.5673
memory used=205.9MB, alloc=4.4MB, time=25.86
x[1] = 1.809
y[1] (analytic) = 1.3769483023748551048287395823279
y[1] (numeric) = 1.3769483023748550777223347100832
absolute error = 2.71064048722447e-17
relative error = 1.9685855180977852494923343084865e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.81
y[1] (analytic) = 1.3775238424872292105414665129165
y[1] (numeric) = 1.3775238424872291834339511320255
absolute error = 2.71075153808910e-17
relative error = 1.9678436441394885815681398657356e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.09933
Order of pole = 0.5005
x[1] = 1.8119865044143747890204635787158
y[1] (analytic) = 1.3786670877873231053425224107243
y[1] (numeric) = 1.3786670877873230782328802026947
absolute error = 2.71096422080296e-17
relative error = 1.9663660972380887323541739115912e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.144
Order of pole = 2.827
x[1] = 1.8129797566215621835306953680737
y[1] (analytic) = 1.3792386767039707431306049118792
y[1] (numeric) = 1.3792386767039707160199021576107
absolute error = 2.71107027542685e-17
relative error = 1.9656280825198562935528576855755e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.791
Order of pole = 0.855
x[1] = 1.8139730088287495780409271574316
y[1] (analytic) = 1.3798102431496627929354672650231
y[1] (numeric) = 1.3798102431496627658237058707252
absolute error = 2.71117613942979e-17
relative error = 1.9648905730986945492746849189132e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8149662610359369725511589467895
y[1] (analytic) = 1.3803817871378670666214144933977
y[1] (numeric) = 1.3803817871378670395085963612838
absolute error = 2.71128181321139e-17
relative error = 1.9641535685812391185263597550705e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8159595132431243670613907361474
y[1] (analytic) = 1.3809533086820392719200414062679
y[1] (numeric) = 1.3809533086820392448061684345651
absolute error = 2.71138729717028e-17
relative error = 1.9634170685741624307505523897365e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8169527654503117615716225255053
y[1] (analytic) = 1.3815248077956230269305986221118
y[1] (numeric) = 1.3815248077956229998156727050701
absolute error = 2.71149259170417e-17
relative error = 1.9626810726842169139939222926765e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8179460176574991560818543148632
y[1] (analytic) = 1.3820962844920498745986513711352
y[1] (numeric) = 1.3820962844920498474826743990374
absolute error = 2.71159769720978e-17
relative error = 1.9619455805181840161409834803370e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8189392698646865505920861042211
y[1] (analytic) = 1.3826677387847392971730700606032
y[1] (numeric) = 1.3826677387847392700560439197741
absolute error = 2.71170261408291e-17
relative error = 1.9612105916829246063412241571790e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.819932522071873945102317893579
y[1] (analytic) = 1.3832391706870987306413915048237
y[1] (numeric) = 1.3832391706870987035233180776396
absolute error = 2.71180734271841e-17
relative error = 1.9604761057853569576562112986846e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8209257742790613396125496829369
y[1] (analytic) = 1.3838105802125235791435896401622
y[1] (numeric) = 1.3838105802125235520244708050606
absolute error = 2.71191188351016e-17
relative error = 1.9597421224324420109161201614453e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.177
Order of pole = 1.291
x[1] = 1.8219190264862487341227814722948
y[1] (analytic) = 1.3843819673743972293642944642044
y[1] (numeric) = 1.3843819673743972022441320956931
absolute error = 2.71201623685113e-17
relative error = 1.9590086412312264628208044700132e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8229122786934361286330132616527
y[1] (analytic) = 1.3849533321860910649034978571119
y[1] (numeric) = 1.3849533321860910377822938257785
absolute error = 2.71212040313334e-17
relative error = 1.9582756617888135430133884687621e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8239055309006235231432450510106
y[1] (analytic) = 1.3855246746609644806257848623443
y[1] (numeric) = 1.3855246746609644535035410348657
absolute error = 2.71222438274786e-17
relative error = 1.9575431837123627336246289067862e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8248987831078109176534768403685
y[1] (analytic) = 1.3860959948123648969881289232382
y[1] (numeric) = 1.3860959948123648698648471623899
absolute error = 2.71232817608483e-17
relative error = 1.9568112066091039187562784571609e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8258920353149983121637086297264
y[1] (analytic) = 1.3866672926536277743462894914442
y[1] (numeric) = 1.3866672926536277472219716561093
absolute error = 2.71243178353349e-17
relative error = 1.9560797300863587107524871749621e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8268852875221857066739404190843
y[1] (analytic) = 1.3872385681980766272398503429266
y[1] (numeric) = 1.3872385681980766001144982881055
absolute error = 2.71253520548211e-17
relative error = 1.9553487537514896383555998906460e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8278785397293731011841722084422
y[1] (analytic) = 1.3878098214590230386559368571279
y[1] (numeric) = 1.3878098214590230115295524339474
absolute error = 2.71263844231805e-17
relative error = 1.9546182772119431333680852539514e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8288717919365604956944039978001
y[1] (analytic) = 1.3883810524497666742716504349832
y[1] (numeric) = 1.3883810524497666471442354907057
absolute error = 2.71274149442775e-17
relative error = 1.9538883000752419929862812997000e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.829865044143747890204635787158
y[1] (analytic) = 1.3889522611835952966752581517494
y[1] (numeric) = 1.3889522611835952695468145297821
absolute error = 2.71284436219673e-17
relative error = 1.9531588219489850606394443780743e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8308582963509352847148675765159
y[1] (analytic) = 1.38952344767378477956617566108
y[1] (numeric) = 1.3895234476737847524367052009844
absolute error = 2.71294704600956e-17
relative error = 1.9524298424408253177123864941671e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8318515485581226792250993658738
y[1] (analytic) = 1.3900946119335991219337812874355
y[1] (numeric) = 1.390094611933599094803285824936
absolute error = 2.71304954624995e-17
relative error = 1.9517013611585343545695010073047e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.4851
Order of pole = 0.5106
x[1] = 1.8328448007653100737353311552317
y[1] (analytic) = 1.3906657539762904622150991647616
y[1] (numeric) = 1.3906657539762904350835805317551
absolute error = 2.71315186330065e-17
relative error = 1.9509733777099300577269764246050e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8338380529724974682455629445896
y[1] (analytic) = 1.3912368738150990924313892004076
y[1] (numeric) = 1.3912368738150990652988492249727
absolute error = 2.71325399754349e-17
relative error = 1.9502458917029051052580294133148e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8348313051796848627557947339475
y[1] (analytic) = 1.3918079714632534723036815644773
y[1] (numeric) = 1.3918079714632534451701220708828
absolute error = 2.71335594935945e-17
relative error = 1.9495189027454769469641832663847e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8358245573868722572660265233054
y[1] (analytic) = 1.3923790469339702433472933262142
y[1] (numeric) = 1.3923790469339702162127161349288
absolute error = 2.71345771912854e-17
relative error = 1.9487924104457012046866655512918e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8368178095940596517762583126633
y[1] (analytic) = 1.3929501002404542429453647806264
y[1] (numeric) = 1.3929501002404542158097717083274
absolute error = 2.71355930722990e-17
relative error = 1.9480664144117432240504042669269e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=209.8MB, alloc=4.4MB, time=26.33
NO POLE
x[1] = 1.8378110618012470462864901020212
y[1] (analytic) = 1.3935211313958985184014529303345
y[1] (numeric) = 1.3935211313958984912648457899169
absolute error = 2.71366071404176e-17
relative error = 1.9473409142518489855789364355630e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8388043140084344407967218913791
y[1] (analytic) = 1.3940921404134843409712195096016
y[1] (numeric) = 1.3940921404134843138336001101872
absolute error = 2.71376193994144e-17
relative error = 1.9466159095743447800412683042691e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.839797566215621835306953680737
y[1] (analytic) = 1.3946631273063812198732508596588
y[1] (numeric) = 1.3946631273063811927346210066052
absolute error = 2.71386298530536e-17
relative error = 1.9458913999876440550155289877714e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8407908184228092298171854700949
y[1] (analytic) = 1.3952340920877469162790468867826
y[1] (numeric) = 1.3952340920877468891394083816916
absolute error = 2.71396385050910e-17
relative error = 1.9451673851002900811506778258901e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8417840706299966243274172594528
y[1] (analytic) = 1.3958050347707274572822162571037
y[1] (numeric) = 1.3958050347707274301415708978311
absolute error = 2.71406453592726e-17
relative error = 1.9444438645208552274570998985833e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8427773228371840188376490488107
y[1] (analytic) = 1.3963759553684571498469149048439
y[1] (numeric) = 1.3963759553684571227052644855077
absolute error = 2.71416504193362e-17
relative error = 1.9437208378580553257842108284797e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8437705750443714133478808381686
y[1] (analytic) = 1.3969468538940585947355648535641
y[1] (numeric) = 1.3969468538940585675929111645537
absolute error = 2.71426536890104e-17
relative error = 1.9429983047206776349048735983104e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8447638272515588078581126275265
y[1] (analytic) = 1.3975177303606427004158902730897
y[1] (numeric) = 1.3975177303606426732722351010747
absolute error = 2.71436551720150e-17
relative error = 1.9422762647176091590183638594681e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8457570794587462023683444168844
y[1] (analytic) = 1.3980885847813086969473076180379
y[1] (numeric) = 1.3980885847813086698026527459769
absolute error = 2.71446548720610e-17
relative error = 1.9415547174578362866105198962426e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8467503316659335968785762062423
y[1] (analytic) = 1.3986594171691441498467066173131
y[1] (numeric) = 1.3986594171691441227010538244627
absolute error = 2.71456527928504e-17
relative error = 1.9408336625504301310216950555297e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8477435838731209913888079956002
y[1] (analytic) = 1.3992302275372249739336588075624
y[1] (numeric) = 1.3992302275372249467870098694856
absolute error = 2.71466489380768e-17
relative error = 1.9401130996045890814196759322476e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8487368360803083858990397849581
y[1] (analytic) = 1.3998010158986154471550902273868
y[1] (numeric) = 1.3998010158986154200074469159619
absolute error = 2.71476433114249e-17
relative error = 1.9393930282296026672962450129061e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.849730088287495780409271574316
y[1] (analytic) = 1.4003717822663682243894548130912
y[1] (numeric) = 1.4003717822663681972408188965209
absolute error = 2.71486359165703e-17
relative error = 1.9386734480348369344505818457655e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.41
Order of pole = 0.5885
x[1] = 1.8507233404946831749195033636739
y[1] (analytic) = 1.4009425266535243512304449609236
y[1] (numeric) = 1.4009425266535243240808182037432
absolute error = 2.71496267571804e-17
relative error = 1.9379543586297983755132635262267e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.2899
Order of pole = 0.5037
x[1] = 1.8517165927018705694297351530318
y[1] (analytic) = 1.4015132490731132777502756450963
y[1] (numeric) = 1.4015132490731132505996598081826
absolute error = 2.71506158369137e-17
relative error = 1.9372357596240835421733770244610e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8527098449090579639399669423897
y[1] (analytic) = 1.402083949538152872242578405413
y[1] (numeric) = 1.402083949538152845090975245993
absolute error = 2.71516031594200e-17
relative error = 1.9365176506273929708658397223493e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8537030971162453584501987317476
y[1] (analytic) = 1.4026546280616494349449414430251
y[1] (numeric) = 1.4026546280616494077923527146848
absolute error = 2.71525887283403e-17
relative error = 1.9358000312495236866726873816083e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8546963493234327529604305211055
y[1] (analytic) = 1.4032252846565977117411319877277
y[1] (numeric) = 1.4032252846565976845875594404203
absolute error = 2.71535725473074e-17
relative error = 1.9350829011004116108187789169484e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8556896015306201474706623104634
y[1] (analytic) = 1.403795919335980907843037025262
y[1] (numeric) = 1.4037959193359808806884824053168
absolute error = 2.71545546199452e-17
relative error = 1.9343662597900812589089657352163e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8566828537378075419808940998213
y[1] (analytic) = 1.4043665321127707014523583983336
y[1] (numeric) = 1.4043665321127706742968234484645
absolute error = 2.71555349498691e-17
relative error = 1.9336501069286738891597465263514e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8576761059449949364911258891792
y[1] (analytic) = 1.4049371229999272574020982204676
y[1] (numeric) = 1.4049371229999272302455846797816
absolute error = 2.71565135406860e-17
relative error = 1.9329344421264471112369447331364e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8586693581521823310013576785371
y[1] (analytic) = 1.4055076920103992407778704674149
y[1] (numeric) = 1.4055076920103992136203800714209
absolute error = 2.71574903959940e-17
relative error = 1.9322192649937531516744556241576e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.493
Order of pole = 1.395
x[1] = 1.859662610359369725511589467895
y[1] (analytic) = 1.406078239157123830519074536592
y[1] (numeric) = 1.4060782391571238033606090172089
absolute error = 2.71584655193831e-17
relative error = 1.9315045751410882922345792557915e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.787
Order of pole = 0.6415
x[1] = 1.8606558625665571200218212572529
y[1] (analytic) = 1.4066487644530267329999664909772
y[1] (numeric) = 1.4066487644530267058405275765426
absolute error = 2.71594389144346e-17
relative error = 1.9307903721790497699423817860599e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8616491147737445145320530466108
y[1] (analytic) = 1.4072192679110221955906636300078
y[1] (numeric) = 1.4072192679110221684302530452865
absolute error = 2.71604105847213e-17
relative error = 1.9300766557183496318979718268105e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8626423669809319090422848359687
y[1] (analytic) = 1.4077897495440130201981179563135
y[1] (numeric) = 1.4077897495440129930367374225059
absolute error = 2.71613805338076e-17
relative error = 1.9293634253698214532920123397727e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8636356191881193035525166253266
y[1] (analytic) = 1.4083602093648905767870940335886
y[1] (numeric) = 1.408360209364890549624745268339
absolute error = 2.71623487652496e-17
relative error = 1.9286506807444270393202684308031e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8646288713953066980627484146845
y[1] (analytic) = 1.408930647386534816881186657546
y[1] (numeric) = 1.4089306473865347897178713749512
absolute error = 2.71633152825948e-17
relative error = 1.9279384214532347207189182897142e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=213.6MB, alloc=4.4MB, time=26.81
NO POLE
x[1] = 1.8656221236024940925729802040424
y[1] (analytic) = 1.4095010636218142870439136887114
y[1] (numeric) = 1.4095010636218142598796335993288
absolute error = 2.71642800893826e-17
relative error = 1.9272266471074544599026286520603e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 9.235
Order of pole = 4.264
x[1] = 1.8666153758096814870832119934003
y[1] (analytic) = 1.4100714580835861423399193227996
y[1] (numeric) = 1.4100714580835861151746761336559
absolute error = 2.71652431891437e-17
relative error = 1.9265153573183948618887257217566e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8676086280168688815934437827582
y[1] (analytic) = 1.4106418307846961597763230015789
y[1] (numeric) = 1.4106418307846961326101184161781
absolute error = 2.71662045854008e-17
relative error = 1.9258045516975124463757030964027e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8686018802240562761036755721161
y[1] (analytic) = 1.4112121817379787517242490944533
y[1] (numeric) = 1.4112121817379787245570848127852
absolute error = 2.71671642816681e-17
relative error = 1.9250942298563757672801983482632e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.869595132431243670613907361474
y[1] (analytic) = 1.4117825109562569793205724085016
y[1] (numeric) = 1.41178251095625695215245012705
absolute error = 2.71681222814516e-17
relative error = 1.9243843914066862854263466354044e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8705883846384310651241391508319
y[1] (analytic) = 1.4123528184523425658499145123806
y[1] (numeric) = 1.4123528184523425386808359241316
absolute error = 2.71690785882490e-17
relative error = 1.9236750359602708693517857991032e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8715816368456184596343709401898
y[1] (analytic) = 1.4129231042390359101069257873456
y[1] (numeric) = 1.4129231042390358829368925817958
absolute error = 2.71700332055498e-17
relative error = 1.9229661631290884695531280796286e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8725748890528058541446027295477
y[1] (analytic) = 1.4134933683291260997388880466538
y[1] (numeric) = 1.4134933683291260725679019098186
absolute error = 2.71709861368352e-17
relative error = 1.9222577725252226274584196045636e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.6581
Order of pole = 0.519
x[1] = 1.8735681412599932486548345189056
y[1] (analytic) = 1.4140636107353909245686724928009
y[1] (numeric) = 1.4140636107353908973967351072225
absolute error = 2.71719373855784e-17
relative error = 1.9215498637609022900207886679170e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.687
Order of pole = 0.625
x[1] = 1.8745613934671806431650663082635
y[1] (analytic) = 1.4146338314705968898980877103909
y[1] (numeric) = 1.4146338314705968627252007551468
absolute error = 2.71728869552441e-17
relative error = 1.9208424364484660224579958424855e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8755546456743680376752980976214
y[1] (analytic) = 1.4152040305474992297916523209647
y[1] (numeric) = 1.4152040305474992026178174716755
absolute error = 2.71738348492892e-17
relative error = 1.9201354902004111011609104513697e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8765478978815554321855298869793
y[1] (analytic) = 1.4157742079788419203408268547961
y[1] (numeric) = 1.4157742079788418931660457836338
absolute error = 2.71747810711623e-17
relative error = 1.9194290246293577289149464175775e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8775411500887428266957616763372
y[1] (analytic) = 1.4163443637773576929087393235268
y[1] (numeric) = 1.416344363777357665733013699223
absolute error = 2.71757256243038e-17
relative error = 1.9187230393480556993621127999956e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8785344022959302212059934656951
y[1] (analytic) = 1.4169144979557680473554389065328
y[1] (numeric) = 1.4169144979557680201787703943867
absolute error = 2.71766685121461e-17
relative error = 1.9180175339693981031831973430435e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.179
Order of pole = 0.9428
x[1] = 1.879527654503117615716225255053
y[1] (analytic) = 1.4174846105267832652437120931071
y[1] (numeric) = 1.4174846105267832380661023549935
absolute error = 2.71776097381136e-17
relative error = 1.9173125081064208919256544101711e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8805209067103050102264570444109
y[1] (analytic) = 1.4180547015031024230254955519012
y[1] (numeric) = 1.4180547015031023958469462462786
absolute error = 2.71785493056226e-17
relative error = 1.9166079613722953911942518258786e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8815141589174924047366888337688
y[1] (analytic) = 1.4186247708974134052089199285917
y[1] (numeric) = 1.4186247708974133780294327105103
absolute error = 2.71794872180814e-17
relative error = 1.9159038933803349302779523337840e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8825074111246797992469206231267
y[1] (analytic) = 1.4191948187223929175060187024274
y[1] (numeric) = 1.4191948187223928903255952235372
absolute error = 2.71804234788902e-17
relative error = 1.9152003037439873635234537438003e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 9.439
Order of pole = 4.393
x[1] = 1.8835006633318671937571524124846
y[1] (analytic) = 1.419764844990706499961136162168
y[1] (numeric) = 1.4197648449907064727797780707267
absolute error = 2.71813580914413e-17
relative error = 1.9144971920768487402073763153150e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8844939155390545882673842018425
y[1] (analytic) = 1.4203348497150085400600684919429
y[1] (numeric) = 1.4203348497150085128777774328238
absolute error = 2.71822910591191e-17
relative error = 1.9137945579926628605271671711232e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8854871677462419827776159912004
y[1] (analytic) = 1.4209048329079422858199718877426
y[1] (numeric) = 1.4209048329079422586367495024427
absolute error = 2.71832223852999e-17
relative error = 1.9130924011053067573463141474831e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.329
Order of pole = 0.5771
x[1] = 1.8864804199534293772878477805583
y[1] (analytic) = 1.4214747945821398588600715556051
y[1] (numeric) = 1.4214747945821398316759194822527
absolute error = 2.71841520733524e-17
relative error = 1.9123907210288254577203351182152e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8874736721606167717980795699162
y[1] (analytic) = 1.4220447347502222674532053730649
y[1] (numeric) = 1.422044734750222240268125246428
absolute error = 2.71850801266369e-17
relative error = 1.9116895173773752433913388335686e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.662
Order of pole = 1.447
x[1] = 1.8884669243678041663083113592741
y[1] (analytic) = 1.4226146534247994195582359261131
y[1] (numeric) = 1.422614653424799392372229377607
absolute error = 2.71860065485061e-17
relative error = 1.9109887897652795168597307552258e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.623
Order of pole = 3.03
x[1] = 1.889460176574991560818543148632
y[1] (analytic) = 1.4231845506184701358333645647467
y[1] (numeric) = 1.4231845506184701086464332224417
absolute error = 2.71869313423050e-17
relative error = 1.9102885378070212949835438839562e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.492
Order of pole = 2.334
x[1] = 1.8904534287821789553287749379899
y[1] (analytic) = 1.4237544263438221626303810511875
y[1] (numeric) = 1.4237544263438221354425265398169
absolute error = 2.71878545113706e-17
relative error = 1.9095887611172216734643581984042e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8914466809893663498390067273478
y[1] (analytic) = 1.4243242806134321849698823060106
y[1] (numeric) = 1.4243242806134321577811062469786
absolute error = 2.71887760590320e-17
relative error = 1.9088894593106464267456656129418e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8924399331965537443492385167057
y[1] (analytic) = 1.4248941134398658394974936887427
y[1] (numeric) = 1.4248941134398658123077977001321
absolute error = 2.71896959886106e-17
relative error = 1.9081906320022196103585773077640e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
memory used=217.4MB, alloc=4.4MB, time=27.28
x[1] = 1.8934331854037411388594703060636
y[1] (analytic) = 1.425463924835677727421126180973
y[1] (numeric) = 1.4254639248356777002305118775529
absolute error = 2.71906143034201e-17
relative error = 1.9074922788070231003427356645328e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8944264376109285333697020954215
y[1] (analytic) = 1.4260337148134114274293027716633
y[1] (numeric) = 1.426033714813411400237771764897
absolute error = 2.71915310067663e-17
relative error = 1.9067943993402821090795200866073e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8954196898181159278799338847794
y[1] (analytic) = 1.4266034833855995085905872761445
y[1] (numeric) = 1.4266034833855994813981411741971
absolute error = 2.71924461019474e-17
relative error = 1.9060969932173857843366698644336e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.871
Order of pole = 0.5329
x[1] = 1.8964129420253033223901656741373
y[1] (analytic) = 1.4271732305647635432341487522502
y[1] (numeric) = 1.4271732305647635160407891599964
absolute error = 2.71933595922538e-17
relative error = 1.9054000600538727249006870892715e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8974061942324907169003974634952
y[1] (analytic) = 1.4277429563634141198114946091599
y[1] (numeric) = 1.4277429563634140926172231281917
absolute error = 2.71942714809682e-17
relative error = 1.9047035994654375432957712601315e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.8983994464396781114106292528531
y[1] (analytic) = 1.4283126607940508557394054368024
y[1] (numeric) = 1.4283126607940508285442236654367
absolute error = 2.71951817713657e-17
relative error = 1.9040076110679374130151330135042e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.899392698646865505920861042211
y[1] (analytic) = 1.4288823438691624102241045161104
y[1] (numeric) = 1.4288823438691623830280140493967
absolute error = 2.71960904667137e-17
relative error = 1.9033120944773846033559306651117e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9003859508540529004310928315689
y[1] (analytic) = 1.4294520056012264970666949030123
y[1] (numeric) = 1.4294520056012264698696973327403
absolute error = 2.71969975702720e-17
relative error = 1.9026170493099530237001597103310e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9013792030612402949413246209268
y[1] (analytic) = 1.4300216460027098974498969118021
y[1] (numeric) = 1.4300216460027098702519938265093
absolute error = 2.71979030852928e-17
relative error = 1.9019224751819777594713435099598e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9023724552684276894515564102847
y[1] (analytic) = 1.4305912650860684727061187564374
y[1] (numeric) = 1.4305912650860684455073117414168
absolute error = 2.71988070150206e-17
relative error = 1.9012283717099476193022776269162e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.877
Order of pole = 0.8574
x[1] = 1.9033657074756150839617881996426
y[1] (analytic) = 1.4311608628637471770668930413854
y[1] (numeric) = 1.431160862863747149867183678693
absolute error = 2.71997093626924e-17
relative error = 1.9005347385105186622228730090731e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.849
Order of pole = 2.525
x[1] = 1.9043589596828024784720199890005
y[1] (analytic) = 1.431730439348180070393711726858
y[1] (numeric) = 1.4317304393481800431931015953202
absolute error = 2.72006101315378e-17
relative error = 1.8998415752005207082209575963666e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9053522118899898729822517783584
y[1] (analytic) = 1.4322999945517903308902921266584
y[1] (numeric) = 1.4322999945517903036887828018799
absolute error = 2.72015093247785e-17
relative error = 1.8991488813969219428231487402531e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9063454640971772674924835677163
y[1] (analytic) = 1.432869528486990267796306430397
y[1] (numeric) = 1.4328695284869902405938994847678
absolute error = 2.72024069456292e-17
relative error = 1.8984566567168913123440786248739e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9073387163043646620027153570742
y[1] (analytic) = 1.433439041166181334062607175521
y[1] (numeric) = 1.4334390411661813068593041782245
absolute error = 2.72033029972965e-17
relative error = 1.8977649007777212460139537566960e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9083319685115520565129471464321
y[1] (analytic) = 1.4340085326017541390079810284532
y[1] (numeric) = 1.4340085326017541118037835454732
absolute error = 2.72041974829800e-17
relative error = 1.8970736131969039785712637659707e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.8798
Order of pole = 0.5333
x[1] = 1.90932522071873945102317893579
y[1] (analytic) = 1.4345780028060884609574631681266
y[1] (numeric) = 1.4345780028060884337523727622548
absolute error = 2.72050904058718e-17
relative error = 1.8963827935920961602247771400715e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9103184729259268455334107251479
y[1] (analytic) = 1.4351474517915532598622444993598
y[1] (numeric) = 1.4351474517915532326562627302037
absolute error = 2.72059817691561e-17
relative error = 1.8956924415810905190189201727296e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9113117251331142400436425145058
y[1] (analytic) = 1.4357168795705066899012038578238
y[1] (numeric) = 1.4357168795705066626943322818133
absolute error = 2.72068715760105e-17
relative error = 1.8950025567819059985962850123139e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9123049773403016345538743038637
y[1] (analytic) = 1.4362862861552961120640973028041
y[1] (numeric) = 1.4362862861552960848563374731997
absolute error = 2.72077598296044e-17
relative error = 1.8943131388126757721548382126678e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 36.65
Order of pole = 58.19
x[1] = 1.9132982295474890290641060932216
y[1] (analytic) = 1.4368556715582581067164365285836
y[1] (numeric) = 1.4368556715582580795077899954833
absolute error = 2.72086465331003e-17
relative error = 1.8936241872917373524915877907708e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9142914817546764235743378825795
y[1] (analytic) = 1.4374250357917184861460883600256
y[1] (numeric) = 1.4374250357917184589365566703722
absolute error = 2.72095316896534e-17
relative error = 1.8929357018376042210571688671904e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9152847339618638180845696719374
y[1] (analytic) = 1.4379943788679923070916272328581
y[1] (numeric) = 1.437994378867992279881211930447
absolute error = 2.72104153024111e-17
relative error = 1.8922476820689305705006066456946e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9162779861690512125948014612953
y[1] (analytic) = 1.4385637007993838832524724942266
y[1] (numeric) = 1.4385637007993838560411751197128
absolute error = 2.72112973745138e-17
relative error = 1.8915601276045664990642536302358e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.218
Order of pole = 2.156
x[1] = 1.9172712383762386071050332506532
y[1] (analytic) = 1.4391330015981867977808422942988
y[1] (numeric) = 1.4391330015981867705686643852041
absolute error = 2.72121779090947e-17
relative error = 1.8908730380635435879012520382153e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9182644905834260016152650400111
y[1] (analytic) = 1.4397022812766839157555557750748
y[1] (numeric) = 1.4397022812766838885424988657952
absolute error = 2.72130569092796e-17
relative error = 1.8901864130650605128305764261263e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.255
Order of pole = 0.7175
x[1] = 1.919257742790613396125496829369
y[1] (analytic) = 1.4402715398471473966377151980751
y[1] (numeric) = 1.4402715398471473694237808198882
absolute error = 2.72139343781869e-17
relative error = 1.8895002522284825766999584933855e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9202509949978007906357286187269
y[1] (analytic) = 1.4408407773218387067082995882476
y[1] (numeric) = 1.4408407773218386794934892693197
absolute error = 2.72148103189279e-17
relative error = 1.8888145551733620642464597431837e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.27
Order of pole = 0.7203
memory used=221.2MB, alloc=4.4MB, time=27.76
x[1] = 1.9212442472049881851459604080848
y[1] (analytic) = 1.441409993713008631487701407252
y[1] (numeric) = 1.4414099937130086042720166726453
absolute error = 2.72156847346067e-17
relative error = 1.8881293215194307983347167480067e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.086
Order of pole = 0.9068
x[1] = 1.9222374994121755796561921974427
y[1] (analytic) = 1.4419791890328972881372377052486
y[1] (numeric) = 1.4419791890328972609206800769284
absolute error = 2.72165576283202e-17
relative error = 1.8874445508865996489540351591440e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9232307516193629741664239868006
y[1] (analytic) = 1.442548363293734137842667136433
y[1] (numeric) = 1.442548363293734110625238133275
absolute error = 2.72174290031580e-17
relative error = 1.8867602428949511114154793177047e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9242240038265503686766557761585
y[1] (analytic) = 1.4431175165077379981797441598236
y[1] (numeric) = 1.443117516507737970961445297621
absolute error = 2.72182988622026e-17
relative error = 1.8860763971647526906530212022672e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9252172560337377631868875655164
y[1] (analytic) = 1.4436866486871170554618416832194
y[1] (numeric) = 1.4436866486871170282426744746901
absolute error = 2.72191672085293e-17
relative error = 1.8853930133164494739454516113293e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.9625
Order of pole = 0.5395
x[1] = 1.9262105082409251576971193548743
y[1] (analytic) = 1.4442557598440688770696733448074
y[1] (numeric) = 1.4442557598440688498496392996008
absolute error = 2.72200340452066e-17
relative error = 1.8847100909706913413197521226491e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.158
Order of pole = 0.5571
x[1] = 1.9272037604481125522073511442322
y[1] (analytic) = 1.4448248499907804237631465636014
y[1] (numeric) = 1.4448248499907803965422471883061
absolute error = 2.72208993752953e-17
relative error = 1.8840276297482701355564326400941e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9281970126552999467175829335901
y[1] (analytic) = 1.4453939191394280619753774267532
y[1] (numeric) = 1.4453939191394280347536142249036
absolute error = 2.72217632018496e-17
relative error = 1.8833456292701953514175944194603e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.929190264862487341227814722948
y[1] (analytic) = 1.445962967302177576088898418771
y[1] (numeric) = 1.4459629673021775488662728908546
absolute error = 2.72226255279164e-17
relative error = 1.8826640891576451618409457111108e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9301835170696747357380465123059
y[1] (analytic) = 1.4465319944911841806940899348292
y[1] (numeric) = 1.4465319944911841534706035782937
absolute error = 2.72234863565355e-17
relative error = 1.8819830090319797777168480346912e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9311767692768621302482783016638
y[1] (analytic) = 1.4471010007185925328298664576442
y[1] (numeric) = 1.4471010007185925056055207669042
absolute error = 2.72243456907400e-17
relative error = 1.8813023885147685970905244108796e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9321700214840495247585100910217
y[1] (analytic) = 1.4476699859965367442066482148258
y[1] (numeric) = 1.4476699859965367169814446812701
absolute error = 2.72252035335557e-17
relative error = 1.8806222272277482140349856202313e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9331632736912369192687418803796
y[1] (analytic) = 1.448238950337140393411649071197
y[1] (numeric) = 1.4482389503371403661855891831958
absolute error = 2.72260598880012e-17
relative error = 1.8799425247928288612870526924367e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9341565258984243137789736697375
y[1] (analytic) = 1.4488078937525165380965113483008
y[1] (numeric) = 1.4488078937525165108695965912121
absolute error = 2.72269147570887e-17
relative error = 1.8792632808321491534946373507004e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9351497781056117082892054590954
y[1] (analytic) = 1.4493768162547677271473182011782
y[1] (numeric) = 1.4493768162547676999195500573554
absolute error = 2.72277681438228e-17
relative error = 1.8785844949679927114018442189596e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9361430303127991027994372484533
y[1] (analytic) = 1.4499457178559860128370141205229
y[1] (numeric) = 1.4499457178559859856083940693212
absolute error = 2.72286200512017e-17
relative error = 1.8779061668228705059716731357834e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9371362825199864973096690378112
y[1] (analytic) = 1.4505145985682529629602640664658
y[1] (numeric) = 1.4505145985682529357307935842496
absolute error = 2.72294704822162e-17
relative error = 1.8772282960194513386304431318712e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9381295347271738918199008271691
y[1] (analytic) = 1.4510834584036396729507816785506
y[1] (numeric) = 1.4510834584036396457204622386999
absolute error = 2.72303194398507e-17
relative error = 1.8765508821806303132987058956202e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.939122786934361286330132616527
y[1] (analytic) = 1.4516522973742067779811569448966
y[1] (numeric) = 1.4516522973742067507499900178145
absolute error = 2.72311669270821e-17
relative error = 1.8758739249294524848971343611335e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9401160391415486808403644058849
y[1] (analytic) = 1.4522211154920044650452136521371
y[1] (numeric) = 1.4522211154920044378132007052561
absolute error = 2.72320129468810e-17
relative error = 1.8751974238891950655911195992086e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9411092913487360753505961952428
y[1] (analytic) = 1.4527899127690724850229268764395
y[1] (numeric) = 1.4527899127690724577900693742287
absolute error = 2.72328575022108e-17
relative error = 1.8745213786833048886613054628867e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.187
Order of pole = 0.9289
x[1] = 1.9421025435559234698608279846007
y[1] (analytic) = 1.4533586892174401647279307147892
y[1] (numeric) = 1.4533586892174401374942301187611
absolute error = 2.72337005960281e-17
relative error = 1.8738457889354254674147696215487e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9430957957631108643710597739586
y[1] (analytic) = 1.4539274448491264189376463947226
y[1] (numeric) = 1.4539274448491263917031041634398
absolute error = 2.72345422312828e-17
relative error = 1.8731706542694033570227686064493e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9440890479702982588812915633165
y[1] (analytic) = 1.4544961796761397624060608398471
y[1] (numeric) = 1.454496179676139735170678428929
absolute error = 2.72353824109181e-17
relative error = 1.8724959743092876264092357316201e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9450823001774856533915233526744
y[1] (analytic) = 1.4550648937104783218591857077742
y[1] (numeric) = 1.4550648937104782946229645699043
absolute error = 2.72362211378699e-17
relative error = 1.8718217486792880963136624394453e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9460755523846730479017551420323
y[1] (analytic) = 1.4556335869641298479732268565248
y[1] (numeric) = 1.4556335869641298207361684414568
absolute error = 2.72370584150680e-17
relative error = 1.8711479770038573329509999691776e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9470688045918604424119869313902
y[1] (analytic) = 1.4562022594490717273354941350304
y[1] (numeric) = 1.4562022594490717000975998895953
absolute error = 2.72378942454351e-17
relative error = 1.8704746589076213718379386604839e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 8.403
Order of pole = 3.471
x[1] = 1.9480620567990478369222187207481
y[1] (analytic) = 1.456770911177270994388081333069
y[1] (numeric) = 1.456770911177270967149352701182
absolute error = 2.72387286318870e-17
relative error = 1.8698017940153929780564329669561e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.949055309006235231432450510106
y[1] (analytic) = 1.4573395421606843433543460658176
y[1] (numeric) = 1.4573395421606843161147844884844
memory used=225.0MB, alloc=4.4MB, time=28.24
absolute error = 2.72395615773332e-17
relative error = 1.8691293819522123229513620529286e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9500485612134226259426822994639
y[1] (analytic) = 1.4579081524112581401482193081913
y[1] (numeric) = 1.4579081524112581129078262235152
absolute error = 2.72403930846761e-17
relative error = 1.8684574223432915378478259679437e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9510418134206100204529140888218
y[1] (analytic) = 1.4584767419409284342663742342649
y[1] (numeric) = 1.4584767419409284070251510774532
absolute error = 2.72412231568117e-17
relative error = 1.8677859148140622447054964506159e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9520350656277974149631458781797
y[1] (analytic) = 1.459045310761620970663283957333
y[1] (numeric) = 1.4590453107616209434212321607036
absolute error = 2.72420517966294e-17
relative error = 1.8671148589901612916709713450330e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9530283178349848094733776675376
y[1] (analytic) = 1.4596138588852512016091977065658
y[1] (numeric) = 1.4596138588852511743663186995542
absolute error = 2.72428790070116e-17
relative error = 1.8664442544974028199241658220873e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 18.16
Order of pole = 14.33
x[1] = 1.9540215700421722039836094568955
y[1] (analytic) = 1.4601823863237242985310649167566
y[1] (numeric) = 1.4601823863237242712873601259222
absolute error = 2.72437047908344e-17
relative error = 1.8657741009618257290419778241686e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.083
Order of pole = 0.6819
x[1] = 1.9550148222493595984938412462534
y[1] (analytic) = 1.4607508930889351638364366483263
y[1] (numeric) = 1.4607508930889351365919074973592
absolute error = 2.72445291509671e-17
relative error = 1.8651043980096588821944690334602e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9560080744565469930040730356113
y[1] (analytic) = 1.461319379192768442720373695566
y[1] (numeric) = 1.4613193791927684154750216052935
absolute error = 2.72453520902725e-17
relative error = 1.8644351452673411378154870412086e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9570013266637343875143048249692
y[1] (analytic) = 1.461887844647098534955390682041
y[1] (numeric) = 1.4618878446470985077092170704342
absolute error = 2.72461736116068e-17
relative error = 1.8637663423615139728589857630341e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.958987831078109176534768403685
y[1] (analytic) = 1.4630247136546956020771424571586
y[1] (numeric) = 1.4630247136546955748293300454046
absolute error = 2.72478124117540e-17
relative error = 1.8624300845669140890704016687134e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9599810832852965710450001930429
y[1] (analytic) = 1.463593117231660255268760707
y[1] (numeric) = 1.4635931172316602280201310107534
absolute error = 2.72486296962466e-17
relative error = 1.8617626289324532223334231957314e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9609743354924839655552319824008
y[1] (analytic) = 1.4641615002065171018828329373798
y[1] (numeric) = 1.4641615002065170746333873632524
absolute error = 2.72494455741274e-17
relative error = 1.8610956216430987468878521090304e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9619675876996713600654637717587
y[1] (analytic) = 1.4647298625910894908366074123976
y[1] (numeric) = 1.4647298625910894635863473641777
absolute error = 2.72502600482199e-17
relative error = 1.8604290623265178796578611635180e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9629608399068587545756955611166
y[1] (analytic) = 1.4652982043971905960098398614098
y[1] (numeric) = 1.4652982043971905687587667400685
absolute error = 2.72510731213413e-17
relative error = 1.8597629506105977901068650256409e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9639540921140461490859273504745
y[1] (analytic) = 1.4658665256366234279168049223689
y[1] (numeric) = 1.4658665256366234006649201260666
absolute error = 2.72518847963023e-17
relative error = 1.8590972861234314037407137131196e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9649473443212335435961591398324
y[1] (analytic) = 1.4664348263211808453615758540051
y[1] (numeric) = 1.4664348263211808181088807780982
absolute error = 2.72526950759069e-17
relative error = 1.8584320684933032388268299532573e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9659405965284209381063909291903
y[1] (analytic) = 1.4670031064626455670766012903585
y[1] (numeric) = 1.4670031064626455398230973274055
absolute error = 2.72535039629530e-17
relative error = 1.8577672973487298091799213467646e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.783
Order of pole = 0.6323
x[1] = 1.9669338487356083326166227185482
y[1] (analytic) = 1.4675713660727901833446077534555
y[1] (numeric) = 1.4675713660727901560902962932236
absolute error = 2.72543114602319e-17
relative error = 1.8571029723184249795148468631563e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9679271009427957271268545079061
y[1] (analytic) = 1.468139605163377167603856582347
y[1] (numeric) = 1.4681396051633771403487390118184
absolute error = 2.72551175705286e-17
relative error = 1.8564390930313198921920443306137e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.968920353149983121637086297264
y[1] (analytic) = 1.4687078237461588880367838792742
y[1] (numeric) = 1.4687078237461588607808615826527
absolute error = 2.72559222966215e-17
relative error = 1.8557756591165419956695303408219e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.655
Order of pole = 1.829
x[1] = 1.9699136053571705161473180866219
y[1] (analytic) = 1.4692760218328776191420520164154
y[1] (numeric) = 1.4692760218328775918853263751324
absolute error = 2.72567256412830e-17
relative error = 1.8551126702034553764766649962139e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9709068575643579106575498759798
y[1] (analytic) = 1.4698441994352655532900411894767
y[1] (numeric) = 1.4698441994352655260325135821976
absolute error = 2.72575276072791e-17
relative error = 1.8544501259216329634212706602422e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9719001097715453051677816653377
y[1] (analytic) = 1.4704123565650448122618094473412
y[1] (numeric) = 1.4704123565650447850034812499722
absolute error = 2.72583281973690e-17
relative error = 1.8537880259008287964438703638861e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9728933619787326996780134546956
y[1] (analytic) = 1.4709804932339274587715495700641
y[1] (numeric) = 1.4709804932339274315124221557579
absolute error = 2.72591274143062e-17
relative error = 1.8531263697710523327360744490490e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.444
Order of pole = 0.7477
x[1] = 1.9738866141859200941882452440535
y[1] (analytic) = 1.4715486094536155079725711107069
y[1] (numeric) = 1.4715486094536154807126458498694
absolute error = 2.72599252608375e-17
relative error = 1.8524651571624998741256285899311e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9748798663931074886984770334114
y[1] (analytic) = 1.4721167052358009389468358598438
y[1] (numeric) = 1.4721167052358009116861141201401
absolute error = 2.72607217397037e-17
relative error = 1.8518043877056016334201904646476e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9758731186002948832087088227693
y[1] (analytic) = 1.4726847805921657061780749350358
y[1] (numeric) = 1.4726847805921656789165580813966
absolute error = 2.72615168536392e-17
relative error = 1.8511440610309939984999586894532e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9768663708074822777189406121272
y[1] (analytic) = 1.4732528355343817510085156411651
y[1] (numeric) = 1.4732528355343817237462050357931
absolute error = 2.72623106053720e-17
relative error = 1.8504841767695190115852401179532e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=228.8MB, alloc=4.4MB, time=28.71
NO POLE
x[1] = 1.9778596230146696722291724014851
y[1] (analytic) = 1.4738208700741110130792461912472
y[1] (numeric) = 1.4738208700741109858161431936229
absolute error = 2.72631029976243e-17
relative error = 1.8498247345522645604165477771362e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.978852875221857066739404190843
y[1] (analytic) = 1.4743888842230054417542463211872
y[1] (numeric) = 1.4743888842230054144903522880756
absolute error = 2.72638940331116e-17
relative error = 1.8491657340105027396626605913606e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9798461274290444612496359802009
y[1] (analytic) = 1.4749568779927070075281117759328
y[1] (numeric) = 1.4749568779927069802634280613893
absolute error = 2.72646837145435e-17
relative error = 1.8485071747757436125599536801108e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9808393796362318557598677695588
y[1] (analytic) = 1.4755248513948477134175005885806
y[1] (numeric) = 1.4755248513948476861520285439573
absolute error = 2.72654720446233e-17
relative error = 1.8478490564797075215836548357161e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.836
Order of pole = 1.107
x[1] = 1.9818326318434192502700995589167
y[1] (analytic) = 1.4760928044410496063363290182314
y[1] (numeric) = 1.4760928044410495790700699921833
absolute error = 2.72662590260481e-17
relative error = 1.8471913787543313364547377946307e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9828258840506066447803313482746
y[1] (analytic) = 1.4766607371429247884547449567532
y[1] (numeric) = 1.4766607371429247611877002952442
absolute error = 2.72670446615090e-17
relative error = 1.8465341412317814599617024203271e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9838191362577940392905631376325
y[1] (analytic) = 1.4772286495120754285419065591
y[1] (numeric) = 1.4772286495120754012740776054091
absolute error = 2.72678289536909e-17
relative error = 1.8458773435444397262489626617037e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.553
Order of pole = 1.02
x[1] = 1.9848123884649814338007949269904
y[1] (analytic) = 1.4777965415600937732925937964532
y[1] (numeric) = 1.4777965415600937460239818911806
absolute error = 2.72686119052726e-17
relative error = 1.8452209853249096323136498123405e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9858056406721688283110267163483
y[1] (analytic) = 1.4783644132985621586376805761946
y[1] (numeric) = 1.4783644132985621313682870572679
absolute error = 2.72693935189267e-17
relative error = 1.8445650662060090268730499792696e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.7627
Order of pole = 0.5239
x[1] = 1.9867988928793562228212585057062
y[1] (analytic) = 1.4789322647390530210384950175901
y[1] (numeric) = 1.4789322647390529937683212202704
absolute error = 2.72701737973197e-17
relative error = 1.8439095858207763395425628159499e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.3902
Order of pole = 0.5063
x[1] = 1.9877921450865436173314902950641
y[1] (analytic) = 1.4795000958931289087650954170573
y[1] (numeric) = 1.4795000958931288814941426739451
absolute error = 2.72709527431122e-17
relative error = 1.8432545438024835549046612876268e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.988785397293731011841722084422
y[1] (analytic) = 1.4800679067723424931584893820104
y[1] (numeric) = 1.4800679067723424658867590230518
absolute error = 2.72717303589586e-17
relative error = 1.8425999397846153746766452435509e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9897786495009184063519538737799
y[1] (analytic) = 1.4806356973882365798768235575224
y[1] (numeric) = 1.4806356973882365526043169100151
absolute error = 2.72725066475073e-17
relative error = 1.8419457734008821973014141468055e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9907719017081058008621856631378
y[1] (analytic) = 1.4812034677523441201255713154127
y[1] (numeric) = 1.481203467752344092852289704012
absolute error = 2.72732816114007e-17
relative error = 1.8412920442852195653468734373699e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9917651539152931953724174524957
y[1] (analytic) = 1.4817712178761882218717457208631
y[1] (numeric) = 1.4817712178761881945976904675879
absolute error = 2.72740552532752e-17
relative error = 1.8406387520717876143723146635395e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9927584061224805898826492418536
y[1] (analytic) = 1.4823389477712821610421650372834
y[1] (numeric) = 1.4823389477712821337673374615224
absolute error = 2.72748275757610e-17
relative error = 1.8399858963949570310665205490647e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9937516583296679843928810312115
y[1] (analytic) = 1.4829066574491293927057979758904
y[1] (numeric) = 1.4829066574491293654301993944076
absolute error = 2.72755985814828e-17
relative error = 1.8393334768893557354508792675069e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9947449105368553789031128205694
y[1] (analytic) = 1.4834743469212235622402158423265
y[1] (numeric) = 1.4834743469212235349638475692677
absolute error = 2.72763682730588e-17
relative error = 1.8386814931898008602425353203917e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9957381627440427734133446099273
y[1] (analytic) = 1.4840420161990485164821786786379
y[1] (numeric) = 1.4840420161990484892050420255364
absolute error = 2.72771366531015e-17
relative error = 1.8380299449313521768992784212189e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9967314149512301679235763992852
y[1] (analytic) = 1.4846096652940783148623824450372
y[1] (numeric) = 1.4846096652940782875844787208196
absolute error = 2.72779037242176e-17
relative error = 1.8373788317493047772899629688447e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.67
Order of pole = 2.319
x[1] = 1.9977246671584175624338081886431
y[1] (analytic) = 1.4851772942177772405243942321125
y[1] (numeric) = 1.485177294217777213245724743105
absolute error = 2.72786694890075e-17
relative error = 1.8367281532791548395335210800600e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.998717919365604956944039978001
y[1] (analytic) = 1.4857449029815998114278024405017
y[1] (numeric) = 1.4857449029815997841483684904357
absolute error = 2.72794339500660e-17
relative error = 1.8360779091566462400724308666432e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 1.9997111715727923514542717673589
y[1] (analytic) = 1.4863124915969907914356088115237
y[1] (numeric) = 1.4863124915969907641554117015417
absolute error = 2.72801971099820e-17
relative error = 1.8354280990177497785317600374146e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.875
Order of pole = 1.113
x[1] = 2.0007044237799797459645035567168
y[1] (analytic) = 1.486880060075385201385889138862
y[1] (numeric) = 1.4868800600753851741049301675236
absolute error = 2.72809589713384e-17
relative error = 1.8347787224986559013414265717036e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.307
Order of pole = 0.5697
x[1] = 2.0016976759871671404747353460747
y[1] (analytic) = 1.4874476084282083301477494381138
y[1] (numeric) = 1.4874476084282083028660299014014
absolute error = 2.72817195367124e-17
relative error = 1.8341297792357943339132252567659e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0026909281943545349849671354326
y[1] (analytic) = 1.4880151366668757456616042978587
y[1] (numeric) = 1.4880151366668757183791254891835
absolute error = 2.72824788086752e-17
relative error = 1.8334812688658133459124479849301e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.311
Order of pole = 0.57
x[1] = 2.0036841804015419294951989247905
y[1] (analytic) = 1.4885826448027933059638040828642
y[1] (numeric) = 1.4885826448027932786805672930721
absolute error = 2.72832367897921e-17
relative error = 1.8328331910255859353525966642113e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0046774326087293240054307141484
y[1] (analytic) = 1.4891501328473571701956376071259
y[1] (numeric) = 1.4891501328473571429116441245029
absolute error = 2.72839934826230e-17
relative error = 1.8321855453522428596991001316644e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
memory used=232.7MB, alloc=4.4MB, time=29.18
x[1] = 2.0056706848159167185156625035063
y[1] (analytic) = 1.489717600811953809596736841642
y[1] (numeric) = 1.4897176008119537823119879519204
absolute error = 2.72847488897216e-17
relative error = 1.8315383314831183268089408731388e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.775
Order of pole = 1.428
x[1] = 2.0066639370231041130258942928642
y[1] (analytic) = 1.4902850487079600184829101691445
y[1] (numeric) = 1.4902850487079599911974071555088
absolute error = 2.72855030136357e-17
relative error = 1.8308915490557696215242933230462e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.967
Order of pole = 3.081
x[1] = 2.0076571892302915075361260822221
y[1] (analytic) = 1.4908524765467429252084306454504
y[1] (numeric) = 1.4908524765467428979221747885426
absolute error = 2.72862558569078e-17
relative error = 1.8302451977080168103476634030627e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.686
Order of pole = 0.6156
x[1] = 2.00865044143747890204635787158
y[1] (analytic) = 1.4914198843396600031128056746528
y[1] (numeric) = 1.4914198843396599758257982525782
absolute error = 2.72870074220746e-17
relative error = 1.8295992770779086004545521754227e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0096436936446662965565896609379
y[1] (analytic) = 1.4919872720980590814520544530548
y[1] (numeric) = 1.4919872720980590541642967413884
absolute error = 2.72877577116664e-17
relative error = 1.8289537868036815743343515290043e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0106369458518536910668214502958
y[1] (analytic) = 1.4925546398332783563145194845459
y[1] (numeric) = 1.4925546398332783290260127563373
absolute error = 2.72885067282086e-17
relative error = 1.8283087265238602159654038944764e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0116301980590410855770532396537
y[1] (analytic) = 1.4931219875566464015212384180308
y[1] (numeric) = 1.4931219875566463742319839438104
absolute error = 2.72892544742204e-17
relative error = 1.8276640958771691825876287858976e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0126234502662284800872850290116
y[1] (analytic) = 1.4936893152794821795109024055604
y[1] (numeric) = 1.4936893152794821522209014533449
absolute error = 2.72900009522155e-17
relative error = 1.8270198945025796732532963541284e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0136167024734158745975168183695
y[1] (analytic) = 1.4942566230130950522094271279602
y[1] (numeric) = 1.4942566230130950249186809632585
absolute error = 2.72907461647017e-17
relative error = 1.8263761220392820767359212496853e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0146099546806032691077486077274
y[1] (analytic) = 1.4948239107687847918841625830229
y[1] (numeric) = 1.4948239107687847645926724688415
absolute error = 2.72914901141814e-17
relative error = 1.8257327781267188896729357492475e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0156032068877906636179803970853
y[1] (analytic) = 1.4953911785578415919827676797134
y[1] (numeric) = 1.4953911785578415646905348765622
absolute error = 2.72922328031512e-17
relative error = 1.8250898624045573750500160426301e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0165964590949780581282121864432
y[1] (analytic) = 1.495958426391546077956775630339
y[1] (numeric) = 1.4959584263915460506638013962367
absolute error = 2.72929742341023e-17
relative error = 1.8244473745127157605053722065056e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0175897113021654526384439758011
y[1] (analytic) = 1.4965256542811693180698760812527
y[1] (numeric) = 1.4965256542811692907761616717329
absolute error = 2.72937144095198e-17
relative error = 1.8238053140913158736567362297718e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.26
Order of pole = 0.9295
x[1] = 2.018582963509352847148675765159
y[1] (analytic) = 1.4970928622379728341909398713943
y[1] (numeric) = 1.4970928622379728068964865395107
absolute error = 2.72944533318836e-17
relative error = 1.8231636807807427590891958138636e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0195762157165402416589075545169
y[1] (analytic) = 1.4976600502732086125718122568203
y[1] (numeric) = 1.4976600502732085852766212531526
absolute error = 2.72951910036677e-17
relative error = 1.8225224742215973267344421217950e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0205694679237276361691393438748
y[1] (analytic) = 1.4982272183981191146099003883416
y[1] (numeric) = 1.4982272183981190873139729610006
absolute error = 2.72959274273410e-17
relative error = 1.8218816940547492263212493699393e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.129
Order of pole = 1.188
x[1] = 2.0215627201309150306793711332327
y[1] (analytic) = 1.4987943666239372875955807784655
y[1] (numeric) = 1.4987943666239372602989181730991
absolute error = 2.72966626053664e-17
relative error = 1.8212413399212761774636787053760e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0225559723381024251896029225906
y[1] (analytic) = 1.4993614949618865754444524430372
y[1] (numeric) = 1.4993614949618865481470559028361
absolute error = 2.72973965402011e-17
relative error = 1.8206014114624834717003978810266e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0235492245452898196998347119485
y[1] (analytic) = 1.4999286034231809294144613522825
y[1] (numeric) = 1.4999286034231809021163321179852
absolute error = 2.72981292342973e-17
relative error = 1.8199619083199500984102820089338e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0245424767524772142100665013064
y[1] (analytic) = 1.5004956920190248188079217753777
y[1] (numeric) = 1.5004956920190247915090610852763
absolute error = 2.72988606901014e-17
relative error = 1.8193228301354747993528775460759e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0255357289596646087202982906643
y[1] (analytic) = 1.5010627607606132416584600522134
y[1] (numeric) = 1.5010627607606132143588691421592
absolute error = 2.72995909100542e-17
relative error = 1.8186841765510888651454714780554e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0265289811668520032305300800222
y[1] (analytic) = 1.5016298096591317354029062756678
y[1] (numeric) = 1.5016298096591317081025863790768
absolute error = 2.73003198965910e-17
relative error = 1.8180459472090622434985707413703e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0275222333740393977407618693801
y[1] (analytic) = 1.5021968387257563875381593174715
y[1] (numeric) = 1.5021968387257563602371116653296
absolute error = 2.73010476521419e-17
relative error = 1.8174081417519229476368298853311e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.028515485581226792250993658738
y[1] (analytic) = 1.5027638479716538462630505806238
y[1] (numeric) = 1.5027638479716538189612764014924
absolute error = 2.73017741791314e-17
relative error = 1.8167707598224298401292928931778e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0295087377884141867612254480959
y[1] (analytic) = 1.5033308374079813311052318113115
y[1] (numeric) = 1.5033308374079813038027323313333
absolute error = 2.73024994799782e-17
relative error = 1.8161338010635587822887750841335e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0305019899956015812714572374538
y[1] (analytic) = 1.5038978070458866435331122533868
y[1] (numeric) = 1.5038978070458866162298886962908
absolute error = 2.73032235570960e-17
relative error = 1.8154972651185553089646633561697e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 16.84
Order of pole = 11.88
x[1] = 2.0314952422027889757816890268117
y[1] (analytic) = 1.5044647568965081775528703786729
y[1] (numeric) = 1.5044647568965081502489239657801
absolute error = 2.73039464128928e-17
relative error = 1.8148611516308874811819716135727e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0324884944099763702919208161696
y[1] (analytic) = 1.5050316869709749302905653766988
y[1] (numeric) = 1.5050316869709749029858973269272
absolute error = 2.73046680497716e-17
relative error = 1.8142254602442918668277990111597e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
memory used=236.5MB, alloc=4.4MB, time=29.66
x[1] = 2.0334817466171637648021526055275
y[1] (analytic) = 1.5055985972804065125593735378992
y[1] (numeric) = 1.5055985972804064852539850677698
absolute error = 2.73053884701294e-17
relative error = 1.8135901906027065057375352547235e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 8.243
Order of pole = 3.221
x[1] = 2.0344749988243511593123843948854
y[1] (analytic) = 1.5061654878359131594119746148732
y[1] (numeric) = 1.5061654878359131321058669385151
absolute error = 2.73061076763581e-17
relative error = 1.8129553423503301745109748622094e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.6041
Order of pole = 0.5146
x[1] = 2.0354682510315385538226161842433
y[1] (analytic) = 1.5067323586485957406781131969512
y[1] (numeric) = 1.5067323586485957133712875261068
absolute error = 2.73068256708444e-17
relative error = 1.8123209151316151489352790188234e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0364615032387259483328479736012
y[1] (analytic) = 1.5072992097295457714873600840962
y[1] (numeric) = 1.5072992097295457441798176281266
absolute error = 2.73075424559696e-17
relative error = 1.8116869085912533485435164637265e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0374547554459133428430797629591
y[1] (analytic) = 1.5078660410898454227770985970488
y[1] (numeric) = 1.5078660410898453954688405629396
absolute error = 2.73082580341092e-17
relative error = 1.8110533223741492488319958940240e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.5752
Order of pole = 0.5132
x[1] = 2.038448007653100737353311552317
y[1] (analytic) = 1.5084328527405675317857607116207
y[1] (numeric) = 1.5084328527405675044767883039868
absolute error = 2.73089724076339e-17
relative error = 1.8104201561254856662873565708658e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0394412598602881318635433416749
y[1] (analytic) = 1.5089996446927756125313378561419
y[1] (numeric) = 1.5089996446927755852216522772331
absolute error = 2.73096855789088e-17
relative error = 1.8097874094906701110120327127938e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0404345120674755263737751310328
y[1] (analytic) = 1.5095664169575238662751911622843
y[1] (numeric) = 1.5095664169575238389647936119905
absolute error = 2.73103975502938e-17
relative error = 1.8091550821153607534161576257566e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0414277642746629208840069203907
y[1] (analytic) = 1.5101331695458571919711859108067
y[1] (numeric) = 1.5101331695458571646600775866631
absolute error = 2.73111083241436e-17
relative error = 1.8085231736454658448860734601957e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0424210164818503153942387097486
y[1] (analytic) = 1.5106999024688111967001748651974
y[1] (numeric) = 1.5106999024688111693883569623901
absolute error = 2.73118179028073e-17
relative error = 1.8078916837271166621467063443566e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0434142686890377099044704991065
y[1] (analytic) = 1.5112666157374122060898551377352
y[1] (numeric) = 1.5112666157374121787773288491062
absolute error = 2.73125262886290e-17
relative error = 1.8072606120067066823419722583920e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.051
Order of pole = 0.6675
x[1] = 2.0444075208962251044147022884644
y[1] (analytic) = 1.5118333093626772747200231841354
y[1] (numeric) = 1.5118333093626772474067897001878
absolute error = 2.73132334839476e-17
relative error = 1.8066299581308777542997920982012e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 12.53
Order of pole = 6.75
x[1] = 2.0454007731034124989249340778223
y[1] (analytic) = 1.5123999833556141965132524747099
y[1] (numeric) = 1.5123999833556141691993129836132
absolute error = 2.73139394910967e-17
relative error = 1.8059997217465129130776750796224e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0463940253105998934351658671802
y[1] (analytic) = 1.512966637727221515111018341835
y[1] (numeric) = 1.5129666377272214877963740294307
absolute error = 2.73146443124043e-17
relative error = 1.8053699025007159917747729257445e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.349
Order of pole = 2.647
x[1] = 2.0473872775177872879453976565381
y[1] (analytic) = 1.5135332724884885342352944554965
y[1] (numeric) = 1.5135332724884885069199465053028
absolute error = 2.73153479501937e-17
relative error = 1.8047405000408705640003682488178e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.7225
Order of pole = 0.5207
x[1] = 2.048380529724974682455629445896
y[1] (analytic) = 1.5140998876503953280356453307608
y[1] (numeric) = 1.5140998876503953007195949239779
absolute error = 2.73160504067829e-17
relative error = 1.8041115140145996854100483062599e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0493737819321620769658612352539
y[1] (analytic) = 1.5146664832239127514218392232134
y[1] (numeric) = 1.5146664832239127241050875387287
absolute error = 2.73167516844847e-17
relative error = 1.8034829440697719405803860945651e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0503670341393494714760930246118
y[1] (analytic) = 1.5152330592200024503820057207003
y[1] (numeric) = 1.5152330592200024230645539350941
absolute error = 2.73174517856062e-17
relative error = 1.8028547898544678786269017642516e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.784
Order of pole = 1.068
x[1] = 2.0513602863465368659863248139697
y[1] (analytic) = 1.5157996156496168722863622921136
y[1] (numeric) = 1.5157996156496168449682115796635
absolute error = 2.73181507124501e-17
relative error = 1.8022270510170652734783942857676e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0523535385537242604965566033276
y[1] (analytic) = 1.5163661525236992761765340064668
y[1] (numeric) = 1.5163661525236992488576855391531
absolute error = 2.73188484673137e-17
relative error = 1.8015997272061725147913261607672e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0533467907609116550067883926855
y[1] (analytic) = 1.5169326698531837430404905881269
y[1] (numeric) = 1.5169326698531837157209455356379
absolute error = 2.73195450524890e-17
relative error = 1.8009728180706346630631602747676e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.506
Order of pole = 1.304
x[1] = 2.0543400429680990495170201820434
y[1] (analytic) = 1.51749916764899518607312492679
y[1] (numeric) = 1.5174991676489951587528844565271
absolute error = 2.73202404702629e-17
relative error = 1.8003463232595460811479342128066e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0553332951752864440272519714013
y[1] (analytic) = 1.5180656459220493609224971136125
y[1] (numeric) = 1.5180656459220493336015623906952
absolute error = 2.73209347229173e-17
relative error = 1.7997202424222564503363600335392e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0563265473824738385374837607592
y[1] (analytic) = 1.5186321046832528759217680278459
y[1] (numeric) = 1.5186321046832528486001402151167
absolute error = 2.73216278127292e-17
relative error = 1.7990945752083767731500722884520e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.792
Order of pole = 0.627
x[1] = 2.0573197995896612330477155501171
y[1] (analytic) = 1.519198543943503202306846451359
y[1] (numeric) = 1.5191985439435031749845267093888
absolute error = 2.73223197419702e-17
relative error = 1.7984693212677458683774298121839e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.058313051796848627557947339475
y[1] (analytic) = 1.5197649637136886844197736415751
y[1] (numeric) = 1.5197649637136886570967631286685
absolute error = 2.73230105129066e-17
relative error = 1.7978444802504364210024983421128e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0593063040040360220681791288329
y[1] (analytic) = 1.5203313640046885498978692466006
y[1] (numeric) = 1.5203313640046885225741691188003
absolute error = 2.73237001278003e-17
relative error = 1.7972200518068136388914572190783e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0602995562112234165784109181908
y[1] (analytic) = 1.5208977448273729198486623996688
y[1] (numeric) = 1.520897744827372892524273810761
absolute error = 2.73243885889078e-17
relative error = 1.7965960355874688523750381162981e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
memory used=240.3MB, alloc=4.4MB, time=30.13
x[1] = 2.0612928084184108110886427075487
y[1] (analytic) = 1.5214641061926028190106317834837
y[1] (numeric) = 1.5214641061926027916855558850031
absolute error = 2.73250758984806e-17
relative error = 1.7959724312432452789505195823095e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0622860606255982055988744969066
y[1] (analytic) = 1.5220304481112301858997784086063
y[1] (numeric) = 1.5220304481112301585740163498413
absolute error = 2.73257620587650e-17
relative error = 1.7953492384252243096091706509231e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0632793128327856001091062862645
y[1] (analytic) = 1.5225967705940978829420548036882
y[1] (numeric) = 1.5225967705940978556156077316857
absolute error = 2.73264470720025e-17
relative error = 1.7947264567847512323069515529507e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0642725650399729946193380756224
y[1] (analytic) = 1.5231630736520397065916742691256
y[1] (numeric) = 1.5231630736520396792645433286958
absolute error = 2.73271309404298e-17
relative error = 1.7941040859734346370849536290073e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.196
Order of pole = 1.563
x[1] = 2.0652658172471603891295698649803
y[1] (analytic) = 1.5237293572958803974353237995746
y[1] (numeric) = 1.5237293572958803701075101332965
absolute error = 2.73278136662781e-17
relative error = 1.7934821256430998827776541112931e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.554
Order of pole = 0.7566
x[1] = 2.0662590694543477836398016543382
y[1] (analytic) = 1.5242956215364356502823042347451
y[1] (numeric) = 1.5242956215364356229538089829711
absolute error = 2.73284952517740e-17
relative error = 1.7928605754458476341350065138224e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0672523216615351781500334436961
y[1] (analytic) = 1.5248618663845121242406211519599
y[1] (numeric) = 1.5248618663845120969114454528208
absolute error = 2.73291756991391e-17
relative error = 1.7922394350340270150655440043104e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.068245573868722572660265233054
y[1] (analytic) = 1.525428091850907452779049968148
y[1] (numeric) = 1.5254280918509074254491949575579
absolute error = 2.73298550105901e-17
relative error = 1.7916187040602415995345645379912e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0692388260759099671704970224119
y[1] (analytic) = 1.5259942979464102537751986732176
y[1] (numeric) = 1.5259942979464102264446654848789
absolute error = 2.73305331883387e-17
relative error = 1.7909983821773422830901780423851e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.844
Order of pole = 2.338
x[1] = 2.0702320782830973616807288117698
y[1] (analytic) = 1.5265604846818001395495915711366
y[1] (numeric) = 1.5265604846818001122183813365453
absolute error = 2.73312102345913e-17
relative error = 1.7903784690384070690795045813822e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.915
Order of pole = 0.6438
x[1] = 2.0712253304902847561909606011277
y[1] (analytic) = 1.5271266520678477268857973595316
y[1] (numeric) = 1.5271266520678476995539112079816
absolute error = 2.73318861515500e-17
relative error = 1.7897589642968060271918970851802e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0722185826974721507011923904856
y[1] (analytic) = 1.527692800115314647036624833197
y[1] (numeric) = 1.5276928001153146197040638917851
absolute error = 2.73325609414119e-17
relative error = 1.7891398676061548288162663145827e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0732118349046595452114241798435
y[1] (analytic) = 1.5282589288349535557164094515956
y[1] (numeric) = 1.5282589288349535283831748452266
absolute error = 2.73332346063690e-17
relative error = 1.7885211786203076462163947252631e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0742050871118469397216559692014
y[1] (analytic) = 1.5288250382375081430794139652143
y[1] (numeric) = 1.5288250382375081157455068166061
absolute error = 2.73339071486082e-17
relative error = 1.7879028969933566086250892040141e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0751983393190343342318877585593
y[1] (analytic) = 1.5293911283337131436843662505265
y[1] (numeric) = 1.5293911283337131163497876802143
absolute error = 2.73345785703122e-17
relative error = 1.7872850223796901066642585661389e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0761915915262217287421195479172
y[1] (analytic) = 1.5299571991342943464451574582963
y[1] (numeric) = 1.5299571991342943191099085846379
absolute error = 2.73352488736584e-17
relative error = 1.7866675544339202448908042251344e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.66
Order of pole = 1.753
x[1] = 2.0771848437334091232523513372751
y[1] (analytic) = 1.530523250649968604567723535051
y[1] (numeric) = 1.5305232506499685772318054742315
absolute error = 2.73359180608195e-17
relative error = 1.7860504928109215286342042817853e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.078178095940596517762583126633
y[1] (analytic) = 1.5310892828914438454731331327296
y[1] (numeric) = 1.5310892828914438181365469987666
absolute error = 2.73365861339630e-17
relative error = 1.7854338371657976209117435136372e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0791713481477839122728149159909
y[1] (analytic) = 1.5316552958694190807069048768048
y[1] (numeric) = 1.5316552958694190533696517815524
absolute error = 2.73372530952524e-17
relative error = 1.7848175871539591642563993150225e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.549
Order of pole = 0.9915
x[1] = 2.0801646003549713067830467053488
y[1] (analytic) = 1.532221289594584415834576918556
y[1] (numeric) = 1.5322212895945843884966579717102
absolute error = 2.73379189468458e-17
relative error = 1.7842017424310317419467800656487e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0811578525621587012932784947067
y[1] (analytic) = 1.5327872640776210603235516526612
y[1] (numeric) = 1.5327872640776210329849679617647
absolute error = 2.73385836908965e-17
relative error = 1.7835863026528945245786692673399e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0821511047693460958035102840646
y[1] (analytic) = 1.5333532193292013374112384368527
y[1] (numeric) = 1.5333532193292013100719911072995
absolute error = 2.73392473295532e-17
relative error = 1.7829712674756927445959801493643e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0831443569765334903137420734225
y[1] (analytic) = 1.5339191553599886939595171060659
y[1] (numeric) = 1.533919155359988666619607241106
absolute error = 2.73399098649599e-17
relative error = 1.7823566365558305856322583337604e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0841376091837208848239738627804
y[1] (analytic) = 1.5344850721806377102955450292884
y[1] (numeric) = 1.5344850721806376829549737300326
absolute error = 2.73405712992558e-17
relative error = 1.7817424095499640877590937189581e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0851308613909082793342056521383
y[1] (analytic) = 1.5350509698017941100389304131952
y[1] (numeric) = 1.53505096980179408269769877862
absolute error = 2.73412316345752e-17
relative error = 1.7811285861149940685982719973787e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0861241135980956738444374414962
y[1] (analytic) = 1.5356168482340947699152945126315
y[1] (numeric) = 1.5356168482340947425734036395837
absolute error = 2.73418908730478e-17
relative error = 1.7805151659080851084189552863642e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 11.26
Order of pole = 5.426
x[1] = 2.0871173658052830683546692308541
y[1] (analytic) = 1.5361827074881677295562453640747
y[1] (numeric) = 1.5361827074881677022136963472761
absolute error = 2.73425490167986e-17
relative error = 1.7799021485866584548736025211146e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.088110618012470462864901020212
y[1] (analytic) = 1.5367485475746322012857856143812
y[1] (numeric) = 1.5367485475746321739425795464332
absolute error = 2.73432060679480e-17
relative error = 1.7792895338083979580707038185919e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0891038702196578573751328095699
y[1] (analytic) = 1.5373143685040985798931769733871
y[1] (numeric) = 1.5373143685040985525493149447757
absolute error = 2.73438620286114e-17
relative error = 1.7786773212312234684579101603175e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=244.1MB, alloc=4.4MB, time=30.62
NO POLE
x[1] = 2.0900971224268452518853645989278
y[1] (analytic) = 1.5378801702871684523922837752996
y[1] (numeric) = 1.5378801702871684250477668743999
absolute error = 2.73445169008997e-17
relative error = 1.7780655105133228157131339501186e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0910903746340326463955963882857
y[1] (analytic) = 1.5384459529344346077674180902722
y[1] (numeric) = 1.538445952934434580422247403353
absolute error = 2.73451706869192e-17
relative error = 1.7774541013131447168414162141511e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0920836268412200409058281776436
y[1] (analytic) = 1.5390117164564810467057087841177
y[1] (numeric) = 1.5390117164564810193598853953462
absolute error = 2.73458233887715e-17
relative error = 1.7768430932893917000846594705901e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0930768790484074354160599670015
y[1] (analytic) = 1.5395774608638829913160168807633
y[1] (numeric) = 1.5395774608638829639695418722097
absolute error = 2.73464750085536e-17
relative error = 1.7762324861010260351787432967438e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.578
Order of pole = 2.176
x[1] = 2.0940701312555948299262917563594
y[1] (analytic) = 1.5401431861672068948344195388015
y[1] (numeric) = 1.540143186167206867487293990444
absolute error = 2.73471255483575e-17
relative error = 1.7756222794072431861939236487751e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0950633834627822244365235457173
y[1] (analytic) = 1.5407088923770104513162849103369
y[1] (numeric) = 1.5407088923770104239685099000658
absolute error = 2.73477750102711e-17
relative error = 1.7750124728675296997715891054943e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0960566356699696189467553350752
y[1] (analytic) = 1.5412745795038426053149601072646
y[1] (numeric) = 1.5412745795038425779665367108871
absolute error = 2.73484233963775e-17
relative error = 1.7744030661416171558593870334875e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.191
Order of pole = 1.179
x[1] = 2.0970498878771570134569871244331
y[1] (analytic) = 1.5418402475582435615470944571552
y[1] (numeric) = 1.5418402475582435341980237484001
absolute error = 2.73490707087551e-17
relative error = 1.7737940588894881060362251371856e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.978
Order of pole = 0.6512
x[1] = 2.098043140084344407967218913791
y[1] (analytic) = 1.5424058965507447945446201880486
y[1] (numeric) = 1.5424058965507447671949032385709
absolute error = 2.73497169494777e-17
relative error = 1.7731854507713819989348675870577e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.0990363922915318024774507031489
y[1] (analytic) = 1.5429715264918690582934126386845
y[1] (numeric) = 1.5429715264918690309430505180699
absolute error = 2.73503621206146e-17
relative error = 1.7725772414478010927965335341059e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1000296444987191969876824925068
y[1] (analytic) = 1.5435371373921303958586520480155
y[1] (numeric) = 1.5435371373921303685076458237848
absolute error = 2.73510062242307e-17
relative error = 1.7719694305795163551917986616876e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1010228967059065914979142818647
y[1] (analytic) = 1.5441027292620341489969089352616
y[1] (numeric) = 1.5441027292620341216452596728755
absolute error = 2.73516492623861e-17
relative error = 1.7713620178275409686767756941011e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1020161489130939860081460712226
y[1] (analytic) = 1.5446683021120769677549750392744
y[1] (numeric) = 1.5446683021120769404026838021381
absolute error = 2.73522912371363e-17
relative error = 1.7707550028531427381121125561039e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 9.075
Order of pole = 3.673
x[1] = 2.1030094011202813805183778605805
y[1] (analytic) = 1.5452338559527468200554617435771
y[1] (numeric) = 1.5452338559527467927025295930446
absolute error = 2.73529321505325e-17
relative error = 1.7701483853178629424101608727586e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1040026533274687750286096499384
y[1] (analytic) = 1.5457993907945230012691878711418
y[1] (numeric) = 1.5457993907945229739156158665205
absolute error = 2.73535720046213e-17
relative error = 1.7695421648834963301961119237468e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1059891577418435640490732286542
y[1] (analytic) = 1.5469304035232682265026979346906
y[1] (numeric) = 1.54693040352326819914784939165
absolute error = 2.73548485430406e-17
relative error = 1.7683309139659779631205087825678e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1069824099490309585593050180121
y[1] (analytic) = 1.5474958814311525844721345854253
y[1] (numeric) = 1.5474958814311525571166493539836
absolute error = 2.73554852314417e-17
relative error = 1.7677258828077038461527076496299e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.637
Order of pole = 2.193
x[1] = 2.10797566215621835306953680737
y[1] (analytic) = 1.5480613403819739183067661471123
y[1] (numeric) = 1.5480613403819738909506452784355
absolute error = 2.73561208686768e-17
relative error = 1.7671212474001099807889005874030e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.032
Order of pole = 0.6585
x[1] = 2.1089689143634057475797685967279
y[1] (analytic) = 1.548626780386168303743420075793
y[1] (numeric) = 1.5486267803861682763866646190231
absolute error = 2.73567554567699e-17
relative error = 1.7665170074062758515102107528690e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.804
Order of pole = 0.8019
x[1] = 2.1099621665705931420900003860858
y[1] (analytic) = 1.5491922014541632011252550004944
y[1] (numeric) = 1.5491922014541631737678660027535
absolute error = 2.73573889977409e-17
relative error = 1.7659131624895633109467979716272e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1109554187777805366002321754437
y[1] (analytic) = 1.5497576035963774648822833257404
y[1] (numeric) = 1.5497576035963774375242618321356
absolute error = 2.73580214936048e-17
relative error = 1.7653097123135643484488610036710e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.384
Order of pole = 0.5734
x[1] = 2.1119486709849679311104639648016
y[1] (analytic) = 1.5503229868232213529988567644324
y[1] (numeric) = 1.5503229868232213256402038180596
absolute error = 2.73586529463728e-17
relative error = 1.7647066565421715282206779641957e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1129419231921553256206957541595
y[1] (analytic) = 1.5508883511450965364681363085744
y[1] (numeric) = 1.5508883511450965091088529505234
absolute error = 2.73592833580510e-17
relative error = 1.7641039948394935235277851936462e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1139351753993427201309275435174
y[1] (analytic) = 1.5514536965723961087335681039436
y[1] (numeric) = 1.5514536965723960813736553733021
absolute error = 2.73599127306415e-17
relative error = 1.7635017268699255293757262006318e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.959
Order of pole = 1.1
x[1] = 2.1149284276065301146411593328753
y[1] (analytic) = 1.5520190231155045951173866535055
y[1] (numeric) = 1.5520190231155045677568455873637
absolute error = 2.73605410661418e-17
relative error = 1.7628998522981099867149025740984e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 12.26
Order of pole = 6.25
x[1] = 2.1159216798137175091513911222332
y[1] (analytic) = 1.5525843307847979622361667331783
y[1] (numeric) = 1.552584330784797934874998366633
absolute error = 2.73611683665453e-17
relative error = 1.7622983707889682422292006143725e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.915
Order of pole = 0.6402
x[1] = 2.1169149320209049036616229115911
y[1] (analytic) = 1.5531496195906436274034453624344
y[1] (numeric) = 1.5531496195906436000416507285937
absolute error = 2.73617946338407e-17
relative error = 1.7616972820076613153186528132505e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=247.9MB, alloc=4.4MB, time=31.10
NO POLE
x[1] = 2.117908184228092298171854700949
y[1] (analytic) = 1.553714889543400468019435131212
y[1] (numeric) = 1.5537148895434004406570152611997
absolute error = 2.73624198700123e-17
relative error = 1.7610965856196086765741712808895e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.643
Order of pole = 1.007
x[1] = 2.1189014364352796926820864903069
y[1] (analytic) = 1.5542801406534188309478501436734
y[1] (numeric) = 1.554280140653418803584806066633
absolute error = 2.73630440770404e-17
relative error = 1.7604962812905134192804620010887e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1198946886424670871923182796648
y[1] (analytic) = 1.5548453729310405418798657985084
y[1] (numeric) = 1.5548453729310405145161985416074
absolute error = 2.73636672569010e-17
relative error = 1.7598963686863423556216236595549e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.207
Order of pole = 0.5556
x[1] = 2.1208879408496544817025500690227
y[1] (analytic) = 1.5554105863865989146852335847295
y[1] (numeric) = 1.5554105863865988873209441731643
absolute error = 2.73642894115652e-17
relative error = 1.7592968474732868689358877534742e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1218811930568418762127818583806
y[1] (analytic) = 1.5559757810304187607505720312455
y[1] (numeric) = 1.5559757810304187333856614882453
absolute error = 2.73649105430002e-17
relative error = 1.7586977173178266808153692389899e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1228744452640292707230136477385
y[1] (analytic) = 1.5565409568728163983048549079231
y[1] (numeric) = 1.5565409568728163709393242547544
absolute error = 2.73655306531687e-17
relative error = 1.7580989778866906874100214039285e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1238676974712166652332454370964
y[1] (analytic) = 1.557106113924099661732117735367
y[1] (numeric) = 1.5571061139240996343659679913376
absolute error = 2.73661497440294e-17
relative error = 1.7575006288468885250523745858525e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1248609496784040597434772264543
y[1] (analytic) = 1.5576712521945679108714036202502
y[1] (numeric) = 1.5576712521945678835046358027137
absolute error = 2.73667678175365e-17
relative error = 1.7569026698656778689267635847474e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1258542018855914542537090158122
y[1] (analytic) = 1.558236371694512040303969392724
y[1] (numeric) = 1.5582363716945120129365845170844
absolute error = 2.73673848756396e-17
relative error = 1.7563051006105574731054031397305e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1268474540927788487639408051701
y[1] (analytic) = 1.5588014724342144886277729822154
y[1] (numeric) = 1.5588014724342144612597720619308
absolute error = 2.73680009202846e-17
relative error = 1.7557079207493243777307015153176e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.127840706299966243274172594528
y[1] (analytic) = 1.5593665544239492477192629277906
y[1] (numeric) = 1.5593665544239492203506469743776
absolute error = 2.73686159534130e-17
relative error = 1.7551111299500283862019910606056e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1288339585071536377844043838859
y[1] (analytic) = 1.5599316176739818719824908792224
y[1] (numeric) = 1.5599316176739818446132609022606
absolute error = 2.73692299769618e-17
relative error = 1.7545147278809651046914683798283e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1298272107143410322946361732438
y[1] (analytic) = 1.560496662194569487585567904944
y[1] (numeric) = 1.5604966621945694602157249120803
absolute error = 2.73698429928637e-17
relative error = 1.7539187142106882215870374453172e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1308204629215284268048679626017
y[1] (analytic) = 1.5610616879959608016844853832053
y[1] (numeric) = 1.5610616879959607743140303801576
absolute error = 2.73704550030477e-17
relative error = 1.7533230886080473840096308290136e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1318137151287158213150997519596
y[1] (analytic) = 1.5616266950883961116343212129655
y[1] (numeric) = 1.5616266950883960842632552035273
absolute error = 2.73710660094382e-17
relative error = 1.7527278507421299385774234560533e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1328069673359032158253315413175
y[1] (analytic) = 1.5621916834821073141878520413677
y[1] (numeric) = 1.5621916834821072868161760274122
absolute error = 2.73716760139555e-17
relative error = 1.7521330002822924164383744197015e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1338002195430906103355633306754
y[1] (analytic) = 1.5627566531873179146815921650311
y[1] (numeric) = 1.5627566531873178873093071465157
absolute error = 2.73722850185154e-17
relative error = 1.7515385368981343596198367921870e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1347934717502780048457951200333
y[1] (analytic) = 1.56332160421424303620927972288
y[1] (numeric) = 1.5633216042142430088363866978501
absolute error = 2.73728930250299e-17
relative error = 1.7509444602595425672887823029096e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1357867239574653993560269093912
y[1] (analytic) = 1.5638865365730894287828307587925
y[1] (numeric) = 1.5638865365730894014093307233857
absolute error = 2.73735000354068e-17
relative error = 1.7503507700366649086811370482925e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1367799761646527938662586987491
y[1] (analytic) = 1.5644514502740554784807816930093
y[1] (numeric) = 1.5644514502740554511066756414597
absolute error = 2.73741060515496e-17
relative error = 1.7497574658999033689779775046710e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.137773228371840188376490488107
y[1] (analytic) = 1.5650163453273312165842407019786
y[1] (numeric) = 1.5650163453273311892095296266212
absolute error = 2.73747110753574e-17
relative error = 1.7491645475199071103978060358388e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1387664805790275828867222774649
y[1] (analytic) = 1.5655812217430983287003684671408
y[1] (numeric) = 1.5655812217430983013250533584151
absolute error = 2.73753151087257e-17
relative error = 1.7485720145676230351019028850203e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.8694
Order of pole = 0.5285
x[1] = 2.1397597327862149773969540668228
y[1] (analytic) = 1.5661460795315301638734087140637
y[1] (numeric) = 1.566146079531530136497490560518
absolute error = 2.73759181535457e-17
relative error = 1.7479798667142504623273748462005e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1407529849934023719071858561807
y[1] (analytic) = 1.5667109187027917436832889243383
y[1] (numeric) = 1.5667109187027917163067687126342
absolute error = 2.73765202117041e-17
relative error = 1.7473881036312278177138316432075e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1417462372005897664174176455386
y[1] (analytic) = 1.5672757392670397713318115637254
y[1] (numeric) = 1.5672757392670397439546902786416
absolute error = 2.73771212850838e-17
relative error = 1.7467967249902767760481738431785e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1427394894077771609276494348965
y[1] (analytic) = 1.567840541234422640716456131206
y[1] (numeric) = 1.5678405412344226133387347556425
absolute error = 2.73777213755635e-17
relative error = 1.7462057304633761485509176777985e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1437327416149645554378812242544
y[1] (analytic) = 1.5684053246150804454918122948439
y[1] (numeric) = 1.5684053246150804181134918098258
absolute error = 2.73783204850181e-17
relative error = 1.7456151197227868339623571818360e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1447259938221519499481130136123
y[1] (analytic) = 1.5689700894191449881186643416988
y[1] (numeric) = 1.5689700894191449607397457263808
absolute error = 2.73789186153180e-17
relative error = 1.7450248924410066062075455953601e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.034
memory used=251.7MB, alloc=4.4MB, time=31.59
Order of pole = 1.87
x[1] = 2.1457192460293393444583448029702
y[1] (analytic) = 1.5695348356567397889007471304525
y[1] (numeric) = 1.569534835656739761521231362123
absolute error = 2.73795157683295e-17
relative error = 1.7444350482907950842865100282948e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1467124982365267389685765923281
y[1] (analytic) = 1.5700995633379800950091936969104
y[1] (numeric) = 1.5700995633379800676290817509952
absolute error = 2.73801119459152e-17
relative error = 1.7438455869451986484266658019737e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.147705750443714133478808381686
y[1] (analytic) = 1.5706642724729728894946946241291
y[1] (numeric) = 1.5706642724729728621139874741955
absolute error = 2.73807071499336e-17
relative error = 1.7432565080775243687749343803171e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1486990026509015279890401710439
y[1] (analytic) = 1.5712289630718169002873892505913
y[1] (numeric) = 1.5712289630718168729060878683524
absolute error = 2.73813013822389e-17
relative error = 1.7426678113613267193556823066225e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1496922548580889224992719604018
y[1] (analytic) = 1.5717936351446026091845087516058
y[1] (numeric) = 1.5717936351446025818026141069246
absolute error = 2.73818946446812e-17
relative error = 1.7420794964704197694524587490903e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.285
Order of pole = 0.6959
x[1] = 2.1506855070652763170095037497597
y[1] (analytic) = 1.5723582887014122608257910909448
y[1] (numeric) = 1.5723582887014122334433041518378
absolute error = 2.73824869391070e-17
relative error = 1.7414915630789084284915742200690e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1516787592724637115197355391176
y[1] (analytic) = 1.5729229237523198716566878016523
y[1] (numeric) = 1.5729229237523198442736095342938
absolute error = 2.73830782673585e-17
relative error = 1.7409040108611433326935700213299e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.902
Order of pole = 0.6356
x[1] = 2.1526720114796511060299673284755
y[1] (analytic) = 1.5734875403073912388793825169633
y[1] (numeric) = 1.5734875403073912114957138856893
absolute error = 2.73836686312740e-17
relative error = 1.7403168394917457374120552517180e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1536652636868385005401991178334
y[1] (analytic) = 1.5740521383766839493916411343558
y[1] (numeric) = 1.5740521383766839220073831016684
absolute error = 2.73842580326874e-17
relative error = 1.7397300486455751787815765417522e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1546585158940258950504309071913
y[1] (analytic) = 1.574616717970247388713513457931
y[1] (numeric) = 1.5746167179702473613286669845016
absolute error = 2.73848464734294e-17
relative error = 1.7391436379978051678686131941759e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.59
Order of pole = 0.5946
x[1] = 2.1556517681012132895606626965492
y[1] (analytic) = 1.5751812790981227499019061265608
y[1] (numeric) = 1.5751812790981227225164721712347
absolute error = 2.73854339553261e-17
relative error = 1.7385576072238336618247222232565e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.011
Order of pole = 0.8392
x[1] = 2.1566450203084006840708944859071
y[1] (analytic) = 1.5757458217703430424530465975839
y[1] (numeric) = 1.5757458217703430150670261173841
absolute error = 2.73860204801998e-17
relative error = 1.7379719559993333440783411224982e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.157638272515588078581126275265
y[1] (analytic) = 1.5763103459969331011928579182382
y[1] (numeric) = 1.5763103459969330738062518683694
absolute error = 2.73866060498688e-17
relative error = 1.7373866840002383573448326957608e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1586315247227754730913580646229
y[1] (analytic) = 1.5768748517879095951552639795184
y[1] (numeric) = 1.5768748517879095677680733133709
absolute error = 2.73871906661475e-17
relative error = 1.7368017909027500902574016219812e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1596247769299628676015898539808
y[1] (analytic) = 1.5774393391532810364484449097241
y[1] (numeric) = 1.5774393391532810090606705788775
absolute error = 2.73877743308466e-17
relative error = 1.7362172763833492911110061315261e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1606180291371502621118216433387
y[1] (analytic) = 1.5780038081030477891090622276217
y[1] (numeric) = 1.5780038081030477617207051818492
absolute error = 2.73883570457725e-17
relative error = 1.7356331401187574587946386184187e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1616112813443376566220534326966
y[1] (analytic) = 1.5785682586472020779444733378865
y[1] (numeric) = 1.5785682586472020505555345251588
absolute error = 2.73889388127277e-17
relative error = 1.7350493817859616652521412601425e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1626045335515250511322852220545
y[1] (analytic) = 1.5791326907957279973629549143091
y[1] (numeric) = 1.5791326907957279699734352807981
absolute error = 2.73895196335110e-17
relative error = 1.7344660010622266596739388309098e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1635977857587124456425170114124
y[1] (analytic) = 1.579697104558601520191954679153
y[1] (numeric) = 1.5796971045586014928018551692356
absolute error = 2.73900995099174e-17
relative error = 1.7338829976250879559070474330620e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1645910379658998401527488007703
y[1] (analytic) = 1.5802614999457905064843910500329
y[1] (numeric) = 1.5802614999457904790937126062953
absolute error = 2.73906784437376e-17
relative error = 1.7333003711523196225628380219733e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1655842901730872346629805901282
y[1] (analytic) = 1.5808258769672547123130200887462
y[1] (numeric) = 1.5808258769672546849217636519876
absolute error = 2.73912564367586e-17
relative error = 1.7327181213219717261518052217413e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1665775423802746291732123794861
y[1] (analytic) = 1.5813902356329457985528891496296
y[1] (numeric) = 1.5813902356329457711610556588658
absolute error = 2.73918334907638e-17
relative error = 1.7321362478123760764375723699391e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.139
Order of pole = 0.5483
x[1] = 2.167570794587462023683444168844
y[1] (analytic) = 1.5819545759528073396518965882376
y[1] (numeric) = 1.5819545759528073122594869807051
absolute error = 2.73924096075325e-17
relative error = 1.7315547503021140318792267781406e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 16.27
Order of pole = 10.34
x[1] = 2.1685640467946494181936759582019
y[1] (analytic) = 1.5825188979367748323894768544413
y[1] (numeric) = 1.5825188979367748049964920656012
absolute error = 2.73929847888401e-17
relative error = 1.7309736284700286073862815745847e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1695572990018368127039077475598
y[1] (analytic) = 1.5830832015947757046234302574262
y[1] (numeric) = 1.5830832015947756772298712209681
absolute error = 2.73935590364581e-17
relative error = 1.7303928819952239227481528223475e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1705505512090242072141395369177
y[1] (analytic) = 1.5836474869367293240249166535296
y[1] (numeric) = 1.5836474869367292966307843013753
absolute error = 2.73941323521543e-17
relative error = 1.7298125105570772814626404778841e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.848
Order of pole = 0.6267
x[1] = 2.1715438034162116017243713262756
y[1] (analytic) = 1.5842117539725470068016322713967
y[1] (numeric) = 1.5842117539725469794069275337039
absolute error = 2.73947047376928e-17
relative error = 1.7292325138352385993221933476558e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.944
Order of pole = 0.6402
x[1] = 2.1725370556233989962346031156335
y[1] (analytic) = 1.5847760027121320264091888525536
y[1] (numeric) = 1.5847760027121319990139126577199
absolute error = 2.73952761948337e-17
relative error = 1.7286528915096109042488877208183e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
memory used=255.5MB, alloc=4.4MB, time=32.06
x[1] = 2.1735303078305863907448349049914
y[1] (analytic) = 1.5853402331653796222507142491942
y[1] (numeric) = 1.5853402331653795948548675238609
absolute error = 2.73958467253333e-17
relative error = 1.7280736432603624168895899899170e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1745235600377737852550666943493
y[1] (analytic) = 1.5859044453421770083646935847511
y[1] (numeric) = 1.585904445342176980968277253807
absolute error = 2.73964163309441e-17
relative error = 1.7274947687679259944676761259641e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.022
Order of pole = 1.099
x[1] = 2.1755168122449611797652984837072
y[1] (analytic) = 1.586468639252403382101070046678
y[1] (numeric) = 1.5864686392524033547040850332629
absolute error = 2.73969850134151e-17
relative error = 1.7269162677130174858904837597293e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1765100644521485742755302730651
y[1] (analytic) = 1.5870328149059299327856243447989
y[1] (numeric) = 1.5870328149059299053880715703079
absolute error = 2.73975527744910e-17
relative error = 1.7263381397765847361155689531037e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.643
Order of pole = 0.9909
x[1] = 2.177503316659335968785762062423
y[1] (analytic) = 1.5875969723126198503726518325967
y[1] (numeric) = 1.5875969723126198229745322166837
absolute error = 2.73981196159130e-17
relative error = 1.7257603846398574806395118775915e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1784965688665233632959938517809
y[1] (analytic) = 1.5881611114823283340859562528939
y[1] (numeric) = 1.5881611114823283066872707134751
absolute error = 2.73986855394188e-17
relative error = 1.7251830019843467610632615888623e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1794898210737107578062256411388
y[1] (analytic) = 1.5887252324249026010481790335487
y[1] (numeric) = 1.5887252324249025736489284868067
absolute error = 2.73992505467420e-17
relative error = 1.7246059914918065759226625449473e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1804830732808981523164574304967
y[1] (analytic) = 1.5892893351501818948984830230324
y[1] (numeric) = 1.5892893351501818674986683834199
absolute error = 2.73998146396125e-17
relative error = 1.7240293528442585345413167713208e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1814763254880855468266892198546
y[1] (analytic) = 1.5898534196679974943986095200717
y[1] (numeric) = 1.5898534196679974669982317003152
absolute error = 2.74003778197565e-17
relative error = 1.7234530857239912989883137328596e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1824695776952729413369210092125
y[1] (analytic) = 1.5904174859881727220273274159397
y[1] (numeric) = 1.5904174859881726946263873270431
absolute error = 2.74009400888966e-17
relative error = 1.7228771898135663150252247889333e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1834628299024603358471527985704
y[1] (analytic) = 1.5909815341205229525632932324502
y[1] (numeric) = 1.5909815341205229251617917836986
absolute error = 2.74015014487516e-17
relative error = 1.7223016647958046747223492735836e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1844560821096477303573845879283
y[1] (analytic) = 1.5915455640748556216563408032634
y[1] (numeric) = 1.5915455640748555942542789022269
absolute error = 2.74020619010365e-17
relative error = 1.7217265103537865735556566293377e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1854493343168351248676163772862
y[1] (analytic) = 1.5921095758609702343872193107365
y[1] (numeric) = 1.5921095758609702069845978632738
absolute error = 2.74026214474627e-17
relative error = 1.7211517261708633307495212376081e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1864425865240225193778481666441
y[1] (analytic) = 1.5926735694886583738157983552563
y[1] (numeric) = 1.5926735694886583464126182655184
absolute error = 2.74031800897379e-17
relative error = 1.7205773119306505479702668897828e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.187435838731209913888079956002
y[1] (analytic) = 1.59323754496770370951775869877
y[1] (numeric) = 1.5932375449677036821140208692038
absolute error = 2.74037378295662e-17
relative error = 1.7200032673170338357496308313837e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.274
Order of pole = 0.8941
x[1] = 2.1884290909383973083983117453599
y[1] (analytic) = 1.5938015023078820061097872890865
y[1] (numeric) = 1.5938015023078819787054926204385
absolute error = 2.74042946686480e-17
relative error = 1.7194295920141619792789897343994e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1894223431455847029085435347178
y[1] (analytic) = 1.5943654415189611317632951364502
y[1] (numeric) = 1.5943654415189611043584445277704
absolute error = 2.74048506086798e-17
relative error = 1.7188562857064338467628233756797e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.039
Order of pole = 0.8393
x[1] = 2.1904155953527720974187753240757
y[1] (analytic) = 1.5949293626107010667066765788978
y[1] (numeric) = 1.5949293626107010393012709275431
absolute error = 2.74054056513547e-17
relative error = 1.7182833480785292147779285530677e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1914088475599594919290071134336
y[1] (analytic) = 1.5954932655928539117161284379874
y[1] (numeric) = 1.5954932655928538843101686396252
absolute error = 2.74059597983622e-17
relative error = 1.7177107788153956548242371941807e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1924020997671468864392389027915
y[1] (analytic) = 1.5960571504751638965950475316483
y[1] (numeric) = 1.5960571504751638691885344802603
absolute error = 2.74065130513880e-17
relative error = 1.7171385776022354478176701844325e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1933953519743342809494706921494
y[1] (analytic) = 1.5966210172673673886420249761324
y[1] (numeric) = 1.5966210172673673612349595640183
absolute error = 2.74070654121141e-17
relative error = 1.7165667441245113161338814693197e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1943886041815216754597024815073
y[1] (analytic) = 1.5971848659791929011074556743528
y[1] (numeric) = 1.5971848659791928736998387921336
absolute error = 2.74076168822192e-17
relative error = 1.7159952780679709266979113549965e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1953818563887090699699342708652
y[1] (analytic) = 1.5977486966203611016387813532772
y[1] (numeric) = 1.5977486966203610742306138898988
absolute error = 2.74081674633784e-17
relative error = 1.7154241791186275306865692706361e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1963751085958964644801660602231
y[1] (analytic) = 1.5983125092005848207143854785
y[1] (numeric) = 1.5983125092005847933056683212372
absolute error = 2.74087171572628e-17
relative error = 1.7148534469627343877526606881226e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 12.12
Order of pole = 5.875
x[1] = 2.197368360803083858990397849581
y[1] (analytic) = 1.5988763037295690600661583396479
y[1] (numeric) = 1.598876303729569032656892374108
absolute error = 2.74092659655399e-17
relative error = 1.7142830812868092796408558949721e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1983616130102712535006296389389
y[1] (analytic) = 1.5994400802170110010907505658754
y[1] (numeric) = 1.5994400802170109736809366760013
absolute error = 2.74098138898741e-17
relative error = 1.7137130817776652242834339741667e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.1993548652174586480108614282968
y[1] (analytic) = 1.6000038386726000132495332963855
y[1] (numeric) = 1.6000038386725999858391723644595
absolute error = 2.74103609319260e-17
relative error = 1.7131434481223661252833478432897e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2003481174246460425210932176547
y[1] (analytic) = 1.6005675791060176624572831966644
y[1] (numeric) = 1.6005675791060176350463761033118
absolute error = 2.74109070933526e-17
relative error = 1.7125741800082387453199987577184e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
memory used=259.4MB, alloc=4.4MB, time=32.53
x[1] = 2.2013413696318334370313250070126
y[1] (analytic) = 1.601131301526937719459610476942
y[1] (numeric) = 1.6011313015269376920481581011347
absolute error = 2.74114523758073e-17
relative error = 1.7120052771228721632305752403956e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2023346218390208315415567963705
y[1] (analytic) = 1.6016950059450261681991480352894
y[1] (numeric) = 1.6016950059450261407871512543494
absolute error = 2.74119967809400e-17
relative error = 1.7114367391541234757624369729346e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2033278740462082260517885857284
y[1] (analytic) = 1.602258692369941214170519813736
y[1] (numeric) = 1.6022586923699411867579795033388
absolute error = 2.74125403103972e-17
relative error = 1.7108685657901234874283495905576e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2043211262533956205620203750863
y[1] (analytic) = 1.6028223608113332927641064218345
y[1] (numeric) = 1.6028223608113332653510234560129
absolute error = 2.74130829658216e-17
relative error = 1.7103007567192511935221736099983e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2053143784605830150722521644442
y[1] (analytic) = 1.6033860112788450775986260482184
y[1] (numeric) = 1.6033860112788450501850012993659
absolute error = 2.74136247488525e-17
relative error = 1.7097333116301582115060205811799e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2063076306677704095824839538021
y[1] (analytic) = 1.6039496437821114888425486468879
y[1] (numeric) = 1.6039496437821114614283829857622
absolute error = 2.74141656611257e-17
relative error = 1.7091662302117619879726314960834e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 19.21
Order of pole = 13.93
x[1] = 2.20730088287495780409271574316
y[1] (analytic) = 1.6045132583307597015243613512221
y[1] (numeric) = 1.6045132583307596741096556469485
absolute error = 2.74147057042736e-17
relative error = 1.7085995121532514849032934097360e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2082941350821451986029475325179
y[1] (analytic) = 1.6050768549344091538317030350503
y[1] (numeric) = 1.6050768549344091264164581551253
absolute error = 2.74152448799250e-17
relative error = 1.7080331571440741633898817665303e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2092873872893325931131793218758
y[1] (analytic) = 1.6056404336026715553993859065233
y[1] (numeric) = 1.6056404336026715279836027168183
absolute error = 2.74157831897050e-17
relative error = 1.7074671648739292229520289956111e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2102806394965199876234111112337
y[1] (analytic) = 1.6062039943451508955863219870042
y[1] (numeric) = 1.6062039943451508681700013517685
absolute error = 2.74163206352357e-17
relative error = 1.7069015350328106620968579449135e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2112738917037073821336429005916
y[1] (analytic) = 1.6067675371714434517413722937478
y[1] (numeric) = 1.6067675371714434243245150756124
absolute error = 2.74168572181354e-17
relative error = 1.7063362673109568932626005797287e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2122671439108947766438746899495
y[1] (analytic) = 1.6073310620911377974581365117624
y[1] (numeric) = 1.6073310620911377700407435717434
absolute error = 2.74173929400190e-17
relative error = 1.7057713613988751218166525682088e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2132603961180821711541064793074
y[1] (analytic) = 1.60789456911381481081870090694
y[1] (numeric) = 1.6078945691138147834007731044422
absolute error = 2.74179278024978e-17
relative error = 1.7052068169873283580434981137957e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2142536483252695656643382686653
y[1] (analytic) = 1.6084580582490476826263621993074
y[1] (numeric) = 1.6084580582490476552079003921275
absolute error = 2.74184618071799e-17
relative error = 1.7046426337673597593765422359229e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.528
Order of pole = 0.5846
x[1] = 2.2152469005324569601745700580232
y[1] (analytic) = 1.6090215295064019246273450820848
y[1] (numeric) = 1.6090215295064018972083501264149
absolute error = 2.74189949556699e-17
relative error = 1.7040788114302734169164935318847e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2162401527396443546848018473811
y[1] (analytic) = 1.6095849828954353777215310391487
y[1] (numeric) = 1.6095849828954353503020037895797
absolute error = 2.74195272495690e-17
relative error = 1.7035153496676400335698029775657e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.2913
Order of pole = 0.5031
x[1] = 2.217233404946831749195033636739
y[1] (analytic) = 1.6101484184256982201622160804706
y[1] (numeric) = 1.6101484184256981927421573899959
absolute error = 2.74200586904747e-17
relative error = 1.7029522481712777479698412302739e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2182266571540191437052654260969
y[1] (analytic) = 1.6107118361067329757449149821554
y[1] (numeric) = 1.6107118361067329483243257021739
absolute error = 2.74205892799815e-17
relative error = 1.7023895066332950831312515001406e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2192199093612065382154972154548
y[1] (analytic) = 1.6112752359480745219852295848172
y[1] (numeric) = 1.6112752359480744945641105651369
absolute error = 2.74211190196803e-17
relative error = 1.7018271247460531236954610095324e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2202131615683939327257290048127
y[1] (analytic) = 1.6118386179592500982857986712241
y[1] (numeric) = 1.6118386179592500708641507600656
absolute error = 2.74216479111585e-17
relative error = 1.7012651022021712013010840735613e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2212064137755813272359607941706
y[1] (analytic) = 1.6124019821497793140923469114007
y[1] (numeric) = 1.6124019821497792866701709554005
absolute error = 2.74221759560002e-17
relative error = 1.7007034386945387700955060086851e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2221996659827687217461925835285
y[1] (analytic) = 1.6129653285291741570388503307058
y[1] (numeric) = 1.6129653285291741296161471749197
absolute error = 2.74227031557861e-17
relative error = 1.7001421339163086582097970385452e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2231929181899561162564243728864
y[1] (analytic) = 1.6135286571069390010818357238025
y[1] (numeric) = 1.6135286571069389736586062117087
absolute error = 2.74232295120938e-17
relative error = 1.6995811875609151238921910597092e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2241861703971435107666561622443
y[1] (analytic) = 1.6140919678925706146238314049056
y[1] (numeric) = 1.6140919678925705872000763784086
absolute error = 2.74237550264970e-17
relative error = 1.6990205993220237241937719731773e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2251794226043309052768879516022
y[1] (analytic) = 1.6146552608955581686259866522308
y[1] (numeric) = 1.6146552608955581412017069516643
absolute error = 2.74242797005665e-17
relative error = 1.6984603688935927676288227332278e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2261726748115182997871197409601
y[1] (analytic) = 1.6152185361253832447098771721738
y[1] (numeric) = 1.6152185361253832172850736363044
absolute error = 2.74248035358694e-17
relative error = 1.6979004959698231983519001905341e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.227165927018705694297351530318
y[1] (analytic) = 1.6157817935915198432485138764284
y[1] (numeric) = 1.6157817935915198158231873424584
absolute error = 2.74253265339700e-17
relative error = 1.6973409802452137975205370112545e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2281591792258930888075833196759
y[1] (analytic) = 1.6163450333034343914465722329914
y[1] (numeric) = 1.6163450333034343640207235365626
absolute error = 2.74258486964288e-17
relative error = 1.6967818214144987202132140157810e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2291524314330804833178151090338
y[1] (analytic) = 1.6169082552705857514098594198233
y[1] (numeric) = 1.6169082552705857239834893950204
absolute error = 2.74263700248029e-17
relative error = 1.6962230191726717480321493156414e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=263.2MB, alloc=4.4MB, time=32.99
NO POLE
x[1] = 2.2301456836402678778280468983917
y[1] (analytic) = 1.6174714595024252282040364778103
y[1] (numeric) = 1.6174714595024252007771459571639
absolute error = 2.74268905206464e-17
relative error = 1.6956645732150104911649932451065e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2311389358474552723382786877496
y[1] (analytic) = 1.6180346460083965779026126276255
y[1] (numeric) = 1.6180346460083965504752024421154
absolute error = 2.74274101855101e-17
relative error = 1.6951064832370572776723325628807e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.839
Order of pole = 1.029
x[1] = 2.2321321880546426668485104771075
y[1] (analytic) = 1.6185978147979360156242288831076
y[1] (numeric) = 1.6185978147979359881962998621663
absolute error = 2.74279290209413e-17
relative error = 1.6945487489346062609930711988409e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2331254402618300613587422664654
y[1] (analytic) = 1.6191609658804722235592480618612
y[1] (numeric) = 1.6191609658804721961308010333773
absolute error = 2.74284470284839e-17
relative error = 1.6939913700037090826004796597312e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2341186924690174558689740558233
y[1] (analytic) = 1.6197240992654263589856682619385
y[1] (numeric) = 1.6197240992654263315567040522597
absolute error = 2.74289642096788e-17
relative error = 1.6934343461406990446479727337424e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2351119446762048503792058451812
y[1] (analytic) = 1.6202872149622120622743768416832
y[1] (numeric) = 1.6202872149622120348448962756195
absolute error = 2.74294805660637e-17
relative error = 1.6928776770421782018672334107717e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2361051968833922448894376345391
y[1] (analytic) = 1.6208503129802354648837619081101
y[1] (numeric) = 1.6208503129802354374537658089374
absolute error = 2.74299960991727e-17
relative error = 1.6923213624049921413040522745557e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.237098449090579639399669423897
y[1] (analytic) = 1.6214133933288951973436982875509
y[1] (numeric) = 1.6214133933288951699131874770142
absolute error = 2.74305108105367e-17
relative error = 1.6917654019262541544050411015909e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2380917012977670339099012132549
y[1] (analytic) = 1.6219764560175823972289249207212
y[1] (numeric) = 1.6219764560175823697979002190377
absolute error = 2.74310247016835e-17
relative error = 1.6912097953033508629311002041974e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2390849535049544284201330026128
y[1] (analytic) = 1.6225395010556807171218305928556
y[1] (numeric) = 1.6225395010556806896902928187178
absolute error = 2.74315377741378e-17
relative error = 1.6906545422339416701098446175072e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2400782057121418229303647919707
y[1] (analytic) = 1.6231025284525663325646648781176
y[1] (numeric) = 1.623102528452566305132614848697
absolute error = 2.74320500294206e-17
relative error = 1.6900996424159212468203210107589e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 54.19
Order of pole = 105.4
x[1] = 2.2410714579193292174405965813286
y[1] (analytic) = 1.6236655382176079500011911461186
y[1] (numeric) = 1.6236655382176079225686296770686
absolute error = 2.74325614690500e-17
relative error = 1.6895450955474683206113282648111e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2420647101265166119508283706865
y[1] (analytic) = 1.624228530360166814707798447068
y[1] (numeric) = 1.6242285303601667872747263525272
absolute error = 2.74330720945408e-17
relative error = 1.6889909013270204821476652203375e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2430579623337040064610601600444
y[1] (analytic) = 1.6247915048895967187140890608412
y[1] (numeric) = 1.6247915048895966912805071534365
absolute error = 2.74335819074047e-17
relative error = 1.6884370594532859719797571583910e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.072
Order of pole = 0.541
x[1] = 2.2440512145408914009712919494023
y[1] (analytic) = 1.6253544618152440087129584640724
y[1] (numeric) = 1.6253544618152439812788675549224
absolute error = 2.74340909091500e-17
relative error = 1.6878835696252246804261817547599e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2450444667480787954815237387602
y[1] (analytic) = 1.6259174011464475939601844382754
y[1] (numeric) = 1.6259174011464475665255853369935
absolute error = 2.74345991012819e-17
relative error = 1.6873304315420660892999845078722e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2460377189552661899917555281181
y[1] (analytic) = 1.6264803228925389541635420109485
y[1] (numeric) = 1.6264803228925389267284355256463
absolute error = 2.74351064853022e-17
relative error = 1.6867776449032902870321814123881e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 8.778
Order of pole = 3.245
x[1] = 2.247030971162453584501987317476
y[1] (analytic) = 1.627043227062842147361460890647
y[1] (numeric) = 1.627043227062842119925847827937
absolute error = 2.74356130627100e-17
relative error = 1.6862252094086704845154861274704e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2480242233696409790122191068339
y[1] (analytic) = 1.6276061136666738177912420260914
y[1] (numeric) = 1.6276061136666737903551231910906
absolute error = 2.74361188350008e-17
relative error = 1.6856731247582171389702483621026e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2490174755768283735224508961918
y[1] (analytic) = 1.6281689827133432037468498885391
y[1] (numeric) = 1.6281689827133431763102260848721
absolute error = 2.74366238036670e-17
relative error = 1.6851213906522081800043816551895e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2500107277840157680326826855497
y[1] (analytic) = 1.6287318342121521454262970458626
y[1] (numeric) = 1.6287318342121521179891690756647
absolute error = 2.74371279701979e-17
relative error = 1.6845700067911884743934203600851e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.218
Order of pole = 1.468
x[1] = 2.2510039799912031625429144749076
y[1] (analytic) = 1.6292946681723950927686375660649
y[1] (numeric) = 1.629294668172395065331006229985
absolute error = 2.74376313360799e-17
relative error = 1.6840189728759815673483192228726e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.8006
Order of pole = 0.5228
x[1] = 2.2529904844055779515633780536234
y[1] (analytic) = 1.6304202835143238998527767209753
y[1] (numeric) = 1.6304202835143238724141410491499
absolute error = 2.74386356718254e-17
relative error = 1.6829179536875125313484485601492e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2539837366127653460736098429813
y[1] (analytic) = 1.6309830649145617785656851636698
y[1] (numeric) = 1.6309830649145617511265485190242
absolute error = 2.74391366446456e-17
relative error = 1.6823679678171879282930280814447e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.365
Order of pole = 1.937
x[1] = 2.2549769888199527405838416323392
y[1] (analytic) = 1.6315458288133377164852188837867
y[1] (numeric) = 1.6315458288133376890455820610567
absolute error = 2.74396368227300e-17
relative error = 1.6818183306985316990842585943958e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 14.31
Order of pole = 7.765
x[1] = 2.2559702410271401350940734216971
y[1] (analytic) = 1.6321085752199093294480033176698
y[1] (numeric) = 1.6321085752199093020078671101208
absolute error = 2.74401362075490e-17
relative error = 1.6812690420336608134937902316728e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.147
Order of pole = 0.5466
x[1] = 2.256963493234327529604305211055
y[1] (analytic) = 1.6326713041435268898363735002253
y[1] (numeric) = 1.6326713041435268623957386996554
absolute error = 2.74406348005699e-17
relative error = 1.6807201015249554916796952708641e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=267.0MB, alloc=4.4MB, time=33.46
Complex estimate of poles used
Radius of convergence = 5.964
Order of pole = 1.76
x[1] = 2.2579567454415149241145370004129
y[1] (analytic) = 1.633234015593433334343089764506
y[1] (numeric) = 1.6332340155934333069019571612488
absolute error = 2.74411326032572e-17
relative error = 1.6801715088750770471921641866296e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2589499976487023186247687897708
y[1] (analytic) = 1.6337967095788642717257934746101
y[1] (numeric) = 1.6337967095788642442841638575381
absolute error = 2.74416296170720e-17
relative error = 1.6796232637869306068202381905370e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2599432498558897131350005791287
y[1] (analytic) = 1.6343593861090479905512190560992
y[1] (numeric) = 1.6343593861090479631090932126268
absolute error = 2.74421258434724e-17
relative error = 1.6790753659636890936285215258090e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2609365020630771076452323684866
y[1] (analytic) = 1.6349220451932054669291785580693
y[1] (numeric) = 1.6349220451932054394865572741559
absolute error = 2.74426212839134e-17
relative error = 1.6785278151087865780954057620298e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2619297542702645021554641578445
y[1] (analytic) = 1.635484686840550372236334951
y[1] (numeric) = 1.6354846868405503447932190111531
absolute error = 2.74431159398469e-17
relative error = 1.6779806109259177574964264135169e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2629230064774518966656959472024
y[1] (analytic) = 1.636047311060289080829780334564
y[1] (numeric) = 1.636047311060289053386170521842
absolute error = 2.74436098127220e-17
relative error = 1.6774337531190557733642480563223e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2639162586846392911759277365603
y[1] (analytic) = 1.6366099178616206777504351996959
y[1] (numeric) = 1.6366099178616206503063322957115
absolute error = 2.74441029039844e-17
relative error = 1.6768872413924150005993210370219e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2649095108918266856861595259182
y[1] (analytic) = 1.6371725072537369664162848594046
y[1] (numeric) = 1.6371725072537369389716896443279
absolute error = 2.74445952150767e-17
relative error = 1.6763410754504688862553599750964e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2659027630990140801963913152761
y[1] (analytic) = 1.6377350792458224763054691330548
y[1] (numeric) = 1.6377350792458224488603823856159
absolute error = 2.74450867474389e-17
relative error = 1.6757952549979799636662978668552e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.944
Order of pole = 2.725
x[1] = 2.266896015306201474706623104634
y[1] (analytic) = 1.6382976338470544706292413391517
y[1] (numeric) = 1.6382976338470544431836638366441
absolute error = 2.74455775025076e-17
relative error = 1.6752497797399504541984668272883e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2678892675133888692168548939919
y[1] (analytic) = 1.6388601710666029539948126220359
y[1] (numeric) = 1.6388601710666029265487451403193
absolute error = 2.74460674817166e-17
relative error = 1.6747046493816583960916422828827e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.6116
Order of pole = 0.5132
x[1] = 2.2688825197205762637270866833498
y[1] (analytic) = 1.6394226909136306800580976083243
y[1] (numeric) = 1.6394226909136306526115409218279
absolute error = 2.74465566864964e-17
relative error = 1.6741598636286266022504580108565e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.061
Order of pole = 0.6495
x[1] = 2.2698757719277636582373184727077
y[1] (analytic) = 1.6399851933972931591663773594307
y[1] (numeric) = 1.6399851933972931317193322411561
absolute error = 2.74470451182746e-17
relative error = 1.6736154221866465605887313555040e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2708690241349510527475502620656
y[1] (analytic) = 1.6405476785267386659908955570559
y[1] (numeric) = 1.6405476785267386385433627785799
absolute error = 2.74475327784760e-17
relative error = 1.6730713247617839987502987469626e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2718622763421384472577820514235
y[1] (analytic) = 1.6411101463111082471494038291555
y[1] (numeric) = 1.6411101463111082197013841606334
absolute error = 2.74480196685221e-17
relative error = 1.6725275710603478768928196104914e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.5583
Order of pole = 0.511
x[1] = 2.2728555285493258417680138407814
y[1] (analytic) = 1.6416725967595357288186720945778
y[1] (numeric) = 1.6416725967595357013701663047462
absolute error = 2.74485057898316e-17
relative error = 1.6719841607889203578214029873921e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2738487807565132362782456301393
y[1] (analytic) = 1.6422350298811477243369797753032
y[1] (numeric) = 1.6422350298811476968879886314831
absolute error = 2.74489911438201e-17
relative error = 1.6714410936543380015572468848056e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2748420329637006307884774194972
y[1] (analytic) = 1.6427974456850636417966036960239
y[1] (numeric) = 1.6427974456850636143471279641236
absolute error = 2.74494757319003e-17
relative error = 1.6708983693637034345470963738743e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2758352851708880252987092088551
y[1] (analytic) = 1.6433598441803956916263184616672
y[1] (numeric) = 1.6433598441803956641763589061852
absolute error = 2.74499595554820e-17
relative error = 1.6703559876243848248432294409081e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.35
Order of pole = 0.8936
x[1] = 2.276828537378075419808940998213
y[1] (analytic) = 1.6439222253762488941639250743932
y[1] (numeric) = 1.6439222253762488667134824584215
absolute error = 2.74504426159717e-17
relative error = 1.6698139481439910264315123836755e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2778217895852628143191727875709
y[1] (analytic) = 1.6444845892817210872188235225878
y[1] (numeric) = 1.6444845892817210597678986078145
absolute error = 2.74509249147733e-17
relative error = 1.6692722506304136649396033914505e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2788150417924502088294045769288
y[1] (analytic) = 1.6450469359059029336246450454169
y[1] (numeric) = 1.6450469359059029061732385921291
absolute error = 2.74514064532878e-17
relative error = 1.6687308947918083486037569542416e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2798082939996376033396363662867
y[1] (analytic) = 1.6456092652578779287819597476236
y[1] (numeric) = 1.6456092652578779013300725147106
absolute error = 2.74518872329130e-17
relative error = 1.6681898803365759178827779156102e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2808015462068249978498681556446
y[1] (analytic) = 1.6461715773467224081910752104168
y[1] (numeric) = 1.6461715773467223807387079553732
absolute error = 2.74523672550436e-17
relative error = 1.6676492069733680324260980851592e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2817947984140123923600999450025
y[1] (analytic) = 1.6467338721815055549749417155348
y[1] (numeric) = 1.6467338721815055275220951944629
absolute error = 2.74528465210719e-17
relative error = 1.6671088744111291824732427608485e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2827880506211997868703317343604
y[1] (analytic) = 1.6472961497712894073921796708542
y[1] (numeric) = 1.6472961497712893799388546384673
absolute error = 2.74533250323869e-17
relative error = 1.6665688823590414854706539448381e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2837813028283871813805635237183
y[1] (analytic) = 1.647858410125128866340244797274
y[1] (numeric) = 1.6478584101251288388864420068992
absolute error = 2.74538027903748e-17
relative error = 1.6660292305265545545836683067356e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.766
Order of pole = 0.9953
x[1] = 2.2847745550355745758907953130762
y[1] (analytic) = 1.6484206532520717028487466080108
y[1] (numeric) = 1.6484206532520716753944668115919
absolute error = 2.74542797964189e-17
relative error = 1.6654899186233789077230061025155e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
memory used=270.8MB, alloc=4.4MB, time=33.93
x[1] = 2.2857678072427619704010271024341
y[1] (analytic) = 1.6489828791611585655629356829172
y[1] (numeric) = 1.6489828791611585381081796310177
absolute error = 2.74547560518995e-17
relative error = 1.6649509463594793901750716899468e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.286761059449949364911258891792
y[1] (analytic) = 1.6495450878614229882173752119664
y[1] (numeric) = 1.6495450878614229607621436537723
absolute error = 2.74552315581941e-17
relative error = 1.6644123134450867976343703162009e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2877543116571367594214906811499
y[1] (analytic) = 1.6501072793618913970998122536386
y[1] (numeric) = 1.6501072793618913696441059369612
absolute error = 2.74557063166774e-17
relative error = 1.6638740195906973551701071856597e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2887475638643241539317224705078
y[1] (analytic) = 1.6506694536715831185052641255956
y[1] (numeric) = 1.6506694536715830910490837968748
absolute error = 2.74561803287208e-17
relative error = 1.6633360645070419066367054295876e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2897408160715115484419542598657
y[1] (analytic) = 1.6512316107995103861803353167441
y[1] (numeric) = 1.6512316107995103587236817210507
absolute error = 2.74566535956934e-17
relative error = 1.6627984479051460084241571287712e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2907340682786989429521860492236
y[1] (analytic) = 1.6517937507546783487577802815527
y[1] (numeric) = 1.6517937507546783213006541625915
absolute error = 2.74571261189612e-17
relative error = 1.6622611694962809281730058489127e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2917273204858863374624178385815
y[1] (analytic) = 1.6523558735460850771813274493238
y[1] (numeric) = 1.6523558735460850497237295494366
absolute error = 2.74575978998872e-17
relative error = 1.6617242289919692113182198523483e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2927205726930737319726496279394
y[1] (analytic) = 1.6529179791827215721207797530067
y[1] (numeric) = 1.6529179791827215446627108131751
absolute error = 2.74580689398316e-17
relative error = 1.6611876261039962862976951936869e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2937138249002611264828814172973
y[1] (analytic) = 1.6534800676735717713774069540852
y[1] (numeric) = 1.6534800676735717439188677139334
absolute error = 2.74585392401518e-17
relative error = 1.6606513605444099505058024347549e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.672
Order of pole = 1.258
x[1] = 2.2947070771074485209931132066552
y[1] (analytic) = 1.6540421390276125572796450120814
y[1] (numeric) = 1.6540421390276125298206362098789
absolute error = 2.74590088022025e-17
relative error = 1.6601154320255259032081845530886e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.534
Order of pole = 1.214
x[1] = 2.2957003293146359155033449960131
y[1] (analytic) = 1.6546041932538137640691177192802
y[1] (numeric) = 1.6546041932538137366096400919449
absolute error = 2.74594776273353e-17
relative error = 1.6595798402599030485899469103063e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.296693581521823310013576785371
y[1] (analytic) = 1.6551662303611381852769957934044
y[1] (numeric) = 1.6551662303611381578170500765054
absolute error = 2.74599457168990e-17
relative error = 1.6590445849603611410642352879971e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2976868337290107045238085747289
y[1] (analytic) = 1.6557282503585415810907085931508
y[1] (numeric) = 1.655728250358541553630295520911
absolute error = 2.74604130722398e-17
relative error = 1.6585096658399923551195713242509e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2986800859361980990340403640868
y[1] (analytic) = 1.6562902532549726857110235937361
y[1] (numeric) = 1.6562902532549726582501438990349
absolute error = 2.74608796947012e-17
relative error = 1.6579750826121547189618235929491e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.2996733381433854935442721534447
y[1] (analytic) = 1.6568522390593732146995087319023
y[1] (numeric) = 1.656852239059373187238163146279
absolute error = 2.74613455856233e-17
relative error = 1.6574408349904293483906625023180e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3006665903505728880545039428026
y[1] (analytic) = 1.6574142077806778723163927021866
y[1] (numeric) = 1.6574142077806778448545819558428
absolute error = 2.74618107463438e-17
relative error = 1.6569069226886803372074022877732e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3016598425577602825647357321605
y[1] (analytic) = 1.6579761594278143588488382586712
y[1] (numeric) = 1.6579761594278143313865630804736
absolute error = 2.74622751781976e-17
relative error = 1.6563733454210300856409339405804e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3026530947649476770749675215184
y[1] (analytic) = 1.6585380940097033779296435489036
y[1] (numeric) = 1.6585380940097033504669046663868
absolute error = 2.74627388825168e-17
relative error = 1.6558401029018587966725854416320e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.248
Order of pole = 0.5539
x[1] = 2.3036463469721350715851993108763
y[1] (analytic) = 1.6591000115352586438463864792054
y[1] (numeric) = 1.6591000115352586163831846185746
absolute error = 2.74632018606308e-17
relative error = 1.6553071948458100008641766659917e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3046395991793224660954311002342
y[1] (analytic) = 1.6596619120133868888410270831726
y[1] (numeric) = 1.6596619120133868613773629693067
absolute error = 2.74636641138659e-17
relative error = 1.6547746209677659434605087165030e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3056328513865098606056628895921
y[1] (analytic) = 1.6602237954529878703999828378164
y[1] (numeric) = 1.6602237954529878429358571942706
absolute error = 2.74641256435458e-17
relative error = 1.6542423809828772311465210475493e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.30662610359369725511589467895
y[1] (analytic) = 1.6607856618629543785346918444916
y[1] (numeric) = 1.6607856618629543510701053934998
absolute error = 2.74645864509918e-17
relative error = 1.6537104746065743549971397114864e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.692
Order of pole = 0.75
x[1] = 2.3076193558008846496261264683079
y[1] (analytic) = 1.6613475112521722430526787645173
y[1] (numeric) = 1.6613475112521722155876322269954
absolute error = 2.74650465375219e-17
relative error = 1.6531789015545129788487911685872e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.6
Order of pole = 2.002
x[1] = 2.3086126080080720441363582576658
y[1] (analytic) = 1.6619093436295203408191383722124
y[1] (numeric) = 1.6619093436295203133536324677609
absolute error = 2.74655059044515e-17
relative error = 1.6526476615426156135712515692492e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3096058602152594386465900470237
y[1] (analytic) = 1.6624711590038706030090515609346
y[1] (numeric) = 1.6624711590038705755430870078412
absolute error = 2.74659645530934e-17
relative error = 1.6521167542870711009546914878317e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3105991124224468331568218363816
y[1] (analytic) = 1.663032957384088022349848610643
y[1] (numeric) = 1.6630329573840879948834261258852
absolute error = 2.74664224847578e-17
relative error = 1.6515861795043340987582353999759e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3115923646296342276670536257395
y[1] (analytic) = 1.6635947387790306603546344984856
y[1] (numeric) = 1.6635947387790306328877547977337
absolute error = 2.74668797007519e-17
relative error = 1.6510559369111005225995765348440e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3125856168368216221772854150974
y[1] (analytic) = 1.6641565031975496545459910069567
y[1] (numeric) = 1.6641565031975496270786548045768
absolute error = 2.74673362023799e-17
relative error = 1.6505260262243070739003811374673e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
memory used=274.6MB, alloc=4.4MB, time=34.41
x[1] = 2.3135788690440090166875172044553
y[1] (analytic) = 1.6647182506484892256703703572639
y[1] (numeric) = 1.6647182506484891982025783663199
absolute error = 2.74677919909440e-17
relative error = 1.6499964471611908391234235552425e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 8.939
Order of pole = 3.247
x[1] = 2.3145721212511964111977489938132
y[1] (analytic) = 1.6652799811406866849030950686947
y[1] (numeric) = 1.6652799811406866574348480009514
absolute error = 2.74682470677433e-17
relative error = 1.6494671994392226635759355892579e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3155653734583838057079807831711
y[1] (analytic) = 1.6658416946829724410439787179869
y[1] (numeric) = 1.6658416946829724135752772839129
absolute error = 2.74687014340740e-17
relative error = 1.6489382827761186987564544437970e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.953
Order of pole = 0.631
x[1] = 2.316558625665571200218212572529
y[1] (analytic) = 1.6664033912841700077035822459666
y[1] (numeric) = 1.6664033912841699802344271547366
absolute error = 2.74691550912300e-17
relative error = 1.6484096968898759302489587179801e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3175518778727585947284443618869
y[1] (analytic) = 1.666965070953096010480120432039
y[1] (numeric) = 1.6669650709530959830105123915369
absolute error = 2.74696080405021e-17
relative error = 1.6478814414987236489384486745500e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.281
Order of pole = 1.129
x[1] = 2.3185451300799459892386761512448
y[1] (analytic) = 1.6675267336985601941270331304945
y[1] (numeric) = 1.6675267336985601666569728473155
absolute error = 2.74700602831790e-17
relative error = 1.6473535163211829647128204616623e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3195383822871333837489079406027
y[1] (analytic) = 1.6680883795293654297112358360186
y[1] (numeric) = 1.6680883795293654022407240154725
absolute error = 2.74705118205461e-17
relative error = 1.6468259210759943125471558233206e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 8.901
Order of pole = 3.215
x[1] = 2.3205316344943207782591397299606
y[1] (analytic) = 1.6686500084543077217620641192884
y[1] (numeric) = 1.668650008454307694291101465402
absolute error = 2.74709626538864e-17
relative error = 1.6462986554821709553414904140705e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.191
Order of pole = 0.5486
x[1] = 2.3215248867015081727693715193185
y[1] (analytic) = 1.6692116204821762154109264470712
y[1] (numeric) = 1.669211620482176187939513662591
absolute error = 2.74714127844802e-17
relative error = 1.6457717192589804886317356561101e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3225181389086955672796033086764
y[1] (analytic) = 1.6697732156217532035216798748426
y[1] (numeric) = 1.6697732156217531760498176612373
absolute error = 2.74718622136053e-17
relative error = 1.6452451121259563269238938235799e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3235113911158829617898350980343
y[1] (analytic) = 1.6703347938818141338117430735904
y[1] (numeric) = 1.6703347938818141063394321310536
absolute error = 2.74723109425368e-17
relative error = 1.6447188338028852196735918412806e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3245046433230703563000668873922
y[1] (analytic) = 1.6708963552711276159639611261776
y[1] (numeric) = 1.670896355271127588491202153631
absolute error = 2.74727589725466e-17
relative error = 1.6441928840097768381172389026343e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.082
Order of pole = 0.54
x[1] = 2.3254978955302577508102986767501
y[1] (analytic) = 1.6714578997984554287292365023994
y[1] (numeric) = 1.6714578997984554012560301974946
absolute error = 2.74732063049048e-17
relative error = 1.6436672624669470967385360715152e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.326491147737445145320530466108
y[1] (analytic) = 1.6720194274725525270199405956791
y[1] (numeric) = 1.6720194274725524995462876548006
absolute error = 2.74736529408785e-17
relative error = 1.6431419688949458063600434063805e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3274843999446325398307622554659
y[1] (analytic) = 1.6725809383021670489941201782242
y[1] (numeric) = 1.6725809383021670215200212964923
absolute error = 2.74740988817319e-17
relative error = 1.6426170030145621972713908401885e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3284776521518199343409940448238
y[1] (analytic) = 1.6731424322960403231305131053843
y[1] (numeric) = 1.6731424322960402956559689766574
absolute error = 2.74745441287269e-17
relative error = 1.6420923645468603152307114220736e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3294709043590073288512258341817
y[1] (analytic) = 1.6737039094629068752943875739283
y[1] (numeric) = 1.6737039094629068478193988908055
absolute error = 2.74749886831228e-17
relative error = 1.6415680532131605733759476410960e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.27
Order of pole = 0.555
x[1] = 2.3304641565661947233614576235396
y[1] (analytic) = 1.674265369811494435794219212994
y[1] (numeric) = 1.6742653698114944083187866668178
absolute error = 2.74754325461762e-17
relative error = 1.6410440687350332869056758644436e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3314574087733821178716894128975
y[1] (analytic) = 1.6748268133505239464292202605466
y[1] (numeric) = 1.6748268133505239189533445414053
absolute error = 2.74758757191413e-17
relative error = 1.6405204108343161039401569270585e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3324506609805695123819212022554
y[1] (analytic) = 1.6753882400887095675277350523218
y[1] (numeric) = 1.6753882400887095400514168490529
absolute error = 2.74763182032689e-17
relative error = 1.6399970792330538074891149768565e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3334439131877569068921529916133
y[1] (analytic) = 1.6759496500347586849765160244258
y[1] (numeric) = 1.6759496500347586574997560246175
absolute error = 2.74767599998083e-17
relative error = 1.6394740736536112747460573745094e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.404
Order of pole = 1.16
x[1] = 2.3344371653949443014023847809712
y[1] (analytic) = 1.6765110431973719172408944050029
y[1] (numeric) = 1.6765110431973718897636932949973
absolute error = 2.74772011100056e-17
relative error = 1.6389513938185714778720919981249e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3354304176021316959126165703291
y[1] (analytic) = 1.6770724195852431223758597446921
y[1] (numeric) = 1.6770724195852430948982182095876
absolute error = 2.74776415351045e-17
relative error = 1.6384290394507827590482502665776e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.455
Order of pole = 0.5719
x[1] = 2.336423669809319090422848359687
y[1] (analytic) = 1.6776337792070594050280624099375
y[1] (numeric) = 1.6776337792070593775499811335916
absolute error = 2.74780812763459e-17
relative error = 1.6379070102733344813996564484731e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3374169220165064849330801490449
y[1] (analytic) = 1.67819512207150112342875313763
y[1] (numeric) = 1.6781951220715010959502328026617
absolute error = 2.74785203349683e-17
relative error = 1.6373853060095803991584849006852e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3384101742236938794433119384028
y[1] (analytic) = 1.6787564481872418963776737240136
y[1] (numeric) = 1.6787564481872418688987150118057
absolute error = 2.74789587122079e-17
relative error = 1.6368639263831441106767473035463e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3394034264308812739535437277607
y[1] (analytic) = 1.6793177575629486102179128953016
y[1] (numeric) = 1.6793177575629485827385164860038
absolute error = 2.74793964092978e-17
relative error = 1.6363428711178709074200572594535e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3403966786380686684637755171186
y[1] (analytic) = 1.6798790502072814258017413820167
y[1] (numeric) = 1.6798790502072813983219079545479
absolute error = 2.74798334274688e-17
relative error = 1.6358221399378749645551098233339e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3413899308452560629740073064765
y[1] (analytic) = 1.680440326128893785447440193681
y[1] (numeric) = 1.6804403261288937579671704257317
memory used=278.4MB, alloc=4.4MB, time=34.89
absolute error = 2.74802697679493e-17
relative error = 1.6353017325675328796772835806605e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3423831830524434574842390958344
y[1] (analytic) = 1.6810015853364324198871360651549
y[1] (numeric) = 1.6810015853364323924064306331898
absolute error = 2.74807054319651e-17
relative error = 1.6347816487314712757574164202973e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3433764352596308519944708851923
y[1] (analytic) = 1.6815628278385373552056580206467
y[1] (numeric) = 1.6815628278385373277245175999074
absolute error = 2.74811404207393e-17
relative error = 1.6342618881545603758719804562451e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3443696874668182465047026745502
y[1] (analytic) = 1.6821240536438419197704289761872
y[1] (numeric) = 1.6821240536438418922888542406947
absolute error = 2.74815747354925e-17
relative error = 1.6337424505619254254964064663865e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.947
Order of pole = 0.6282
x[1] = 2.3453629396740056410149344639081
y[1] (analytic) = 1.6826852627609727511524062761922
y[1] (numeric) = 1.6826852627609727236703978987492
absolute error = 2.74820083774430e-17
relative error = 1.6332233356789580920463742203387e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.82
Order of pole = 2.073
x[1] = 2.346356191881193035525166253266
y[1] (analytic) = 1.6832464551985498030380850346128
y[1] (numeric) = 1.6832464551985497755556436868062
absolute error = 2.74824413478066e-17
relative error = 1.6327045432313040781197058768288e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3473494440883804300353980426239
y[1] (analytic) = 1.6838076309651863521325781261046
y[1] (numeric) = 1.6838076309651863246497044783085
absolute error = 2.74828736477961e-17
relative error = 1.6321860729448329428539165270515e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3483426962955678245456298319818
y[1] (analytic) = 1.6843687900694890050537866476317
y[1] (numeric) = 1.6843687900694889775704813690095
absolute error = 2.74833052786222e-17
relative error = 1.6316679245456911009050119603862e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3493359485027552190558616213397
y[1] (analytic) = 1.68492993252005770521767464595
y[1] (numeric) = 1.684929932520057677733938404457
absolute error = 2.74837362414930e-17
relative error = 1.6311500977602716261160274039955e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.623
Order of pole = 0.7321
x[1] = 2.3503292007099426135660934106976
y[1] (analytic) = 1.6854910583254857397146618815056
y[1] (numeric) = 1.6854910583254857122304953438912
absolute error = 2.74841665376144e-17
relative error = 1.6306325923152375125133640672276e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 66.08
Order of pole = 147.8
x[1] = 2.3513224529171300080763252000555
y[1] (analytic) = 1.6860521674943597461771483744162
y[1] (numeric) = 1.6860521674943597186925522062268
absolute error = 2.74845961681894e-17
relative error = 1.6301154079374796478005824850651e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.62
Order of pole = 0.5884
x[1] = 2.3523157051243174025865569894134
y[1] (analytic) = 1.6866132600352597196381844533963
y[1] (numeric) = 1.6866132600352596921531593189778
absolute error = 2.74850251344185e-17
relative error = 1.6295985443541400903033808281842e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3533089573315047970967887787713
y[1] (analytic) = 1.687174335956759019381300003723
y[1] (numeric) = 1.6871743359567589918958465662229
absolute error = 2.74854534375001e-17
relative error = 1.6290820012926352995711806780771e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3543022095386921916070205681292
y[1] (analytic) = 1.6877353952674243757815065856291
y[1] (numeric) = 1.6877353952674243482956255069992
absolute error = 2.74858810786299e-17
relative error = 1.6285657784806200697537049919018e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3552954617458795861172523574871
y[1] (analytic) = 1.6882964379758158971374860698558
y[1] (numeric) = 1.6882964379758158696511780108546
absolute error = 2.74863080590012e-17
relative error = 1.6280498756460048431719347107537e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.356288713953066980627484146845
y[1] (analytic) = 1.6888574640904870764949794124851
y[1] (numeric) = 1.6888574640904870490082450326804
absolute error = 2.74867343798047e-17
relative error = 1.6275342925169433836690063885965e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3572819661602543751377159362029
y[1] (analytic) = 1.6894184736199847984613891666175
y[1] (numeric) = 1.6894184736199847709742291243888
absolute error = 2.74871600422287e-17
relative error = 1.6270190288218441514123563286147e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3582752183674417696479477255608
y[1] (analytic) = 1.689979466572849346011609303953
y[1] (numeric) = 1.6899794665728493185240242564937
absolute error = 2.74875850474593e-17
relative error = 1.6265040842893816551435047222114e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3592684705746291641581795149187
y[1] (analytic) = 1.6905404429576144072850958948773
y[1] (numeric) = 1.6905404429576143797970864981974
absolute error = 2.74880093966799e-17
relative error = 1.6259894586484663750531765929913e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3602617227818165586684113042766
y[1] (analytic) = 1.6911014027828070823741921712502
y[1] (numeric) = 1.6911014027828070548857590801788
absolute error = 2.74884330910714e-17
relative error = 1.6254751516282561387659101396470e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3612549749890039531786430936345
y[1] (analytic) = 1.6916623460569478901037214717376
y[1] (numeric) = 1.6916623460569478626148653399252
absolute error = 2.74888561318124e-17
relative error = 1.6249611629581674747928939482971e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.601
Order of pole = 1.552
x[1] = 2.3622482271961913476888748829924
y[1] (analytic) = 1.6922232727885507748018615452222
y[1] (numeric) = 1.6922232727885507473125830251427
absolute error = 2.74892785200795e-17
relative error = 1.6244474923678928528932067669493e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3632414794033787421991066723503
y[1] (analytic) = 1.6927841829861231130623136635723
y[1] (numeric) = 1.6927841829861230855726134065263
absolute error = 2.74897002570460e-17
relative error = 1.6239341395873233714219447119089e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3642347316105661367093384617082
y[1] (analytic) = 1.6933450766581657204977799708466
y[1] (numeric) = 1.6933450766581656930076586269632
absolute error = 2.74901213438834e-17
relative error = 1.6234211043466369516206004848386e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3652279838177535312195702510661
y[1] (analytic) = 1.6939059538131728584847624718511
y[1] (numeric) = 1.6939059538131728309942206900905
absolute error = 2.74905417817606e-17
relative error = 1.6229083863762505759323764386566e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.366221236024940925729802040424
y[1] (analytic) = 1.6944668144596322408996970388627
y[1] (numeric) = 1.6944668144596322134087354670185
absolute error = 2.74909615718442e-17
relative error = 1.6223959854068375384546085816413e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.244
Order of pole = 1.804
x[1] = 2.3672144882321283202400338297819
y[1] (analytic) = 1.6950276586060250408464357912759
y[1] (numeric) = 1.6950276586060250133550550759775
absolute error = 2.74913807152984e-17
relative error = 1.6218839011693210628104603900767e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3682077404393157147502656191398
y[1] (analytic) = 1.6955884862608258973750911789219
y[1] (numeric) = 1.6955884862608258698832919656371
absolute error = 2.74917992132848e-17
relative error = 1.6213721333948620351319837102912e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3692009926465031092604974084977
y[1] (analytic) = 1.6961492974325029221922550758528
y[1] (numeric) = 1.69614929743250289470003800889
absolute error = 2.74922170669628e-17
relative error = 1.6208606818148821357254216518913e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=282.2MB, alloc=4.4MB, time=35.37
NO POLE
x[1] = 2.3701942448536905037707291978556
y[1] (analytic) = 1.6967100921295177063626061674726
y[1] (numeric) = 1.6967100921295176788699718899829
absolute error = 2.74926342774897e-17
relative error = 1.6203495461610692436875824665932e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3711874970608778982809609872135
y[1] (analytic) = 1.6972708703603253270019188900387
y[1] (numeric) = 1.697270870360325299508868044019
absolute error = 2.74930508460197e-17
relative error = 1.6198387261653180209851301080974e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3721807492680652927911927765714
y[1] (analytic) = 1.6978316321333743539614871577497
y[1] (numeric) = 1.6978316321333743264680203840446
absolute error = 2.74934667737051e-17
relative error = 1.6193282215598001914231373617430e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3731740014752526873014245659293
y[1] (analytic) = 1.6983923774571068565039760888673
y[1] (numeric) = 1.6983923774571068290100940271714
absolute error = 2.74938820616959e-17
relative error = 1.6188180320769404737532904091394e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3741672536824400818116563552872
y[1] (analytic) = 1.6989531063399584099707149186126
y[1] (numeric) = 1.6989531063399583824764182074729
absolute error = 2.74942967111397e-17
relative error = 1.6183081574494102204789524850541e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.55
Order of pole = 1.19
x[1] = 2.3751605058896274763218881446451
y[1] (analytic) = 1.6995138187903581024404442629112
y[1] (numeric) = 1.6995138187903580749457335397296
absolute error = 2.74947107231816e-17
relative error = 1.6177985974101210693540383354859e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.376153758096814870832119934003
y[1] (analytic) = 1.7000745148167285413795308734446
y[1] (numeric) = 1.7000745148167285138844067744803
absolute error = 2.74951240989643e-17
relative error = 1.6172893516922303717351988768161e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3771470103040022653423517233609
y[1] (analytic) = 1.7006351944274858602836630009003
y[1] (numeric) = 1.7006351944274858327881261612718
absolute error = 2.74955368396285e-17
relative error = 1.6167804200291642507629127128596e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3781402625111896598525835127188
y[1] (analytic) = 1.70119585763103972531103945979
y[1] (numeric) = 1.7011958576310396978150905134778
absolute error = 2.74959489463122e-17
relative error = 1.6162718021545759536495260078108e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3791335147183770543628153020767
y[1] (analytic) = 1.70175650443579334190706546474
y[1] (numeric) = 1.7017565044357933144107050445886
absolute error = 2.74963604201514e-17
relative error = 1.6157634978023865543347137621217e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3801267669255644488730470914346
y[1] (analytic) = 1.7023171348501434614205682847288
y[1] (numeric) = 1.7023171348501434339237970224495
absolute error = 2.74967712622793e-17
relative error = 1.6152555067067374606180168220979e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3811200191327518433832788807925
y[1] (analytic) = 1.7028777488824803877115457383786
y[1] (numeric) = 1.7028777488824803602143642645514
absolute error = 2.74971814738272e-17
relative error = 1.6147478286020428462131109038870e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3821132713399392378935106701504
y[1] (analytic) = 1.7034383465411879837504605300736
y[1] (numeric) = 1.7034383465411879562528694741495
absolute error = 2.74975910559241e-17
relative error = 1.6142404632229656631317572674831e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3831065235471266324037424595083
y[1] (analytic) = 1.7039989278346436782090934034037
y[1] (numeric) = 1.7039989278346436507110933937072
absolute error = 2.74980000096965e-17
relative error = 1.6137334103044054386159991602879e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.589
Order of pole = 0.7223
x[1] = 2.3840997757543140269139742488662
y[1] (analytic) = 1.7045594927712184720429680651992
y[1] (numeric) = 1.7045594927712184445445597289307
absolute error = 2.74984083362685e-17
relative error = 1.6132266695815036961035482657762e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3850930279615014214242060382241
y[1] (analytic) = 1.7051200413592769450653608102372
y[1] (numeric) = 1.7051200413592769175665447734749
absolute error = 2.74988160367623e-17
relative error = 1.6127202407896728243568942126413e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.386086280168688815934437827582
y[1] (analytic) = 1.7056805736071772625129077535633
y[1] (numeric) = 1.7056805736071772350136846412659
absolute error = 2.74992231122974e-17
relative error = 1.6122141236645486738557775702067e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3870795323758762104446696169399
y[1] (analytic) = 1.7062410895232711816028225542852
y[1] (numeric) = 1.7062410895232711541031929902939
absolute error = 2.74996295639913e-17
relative error = 1.6117083179420311592738672704438e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3880727845830636049549014062978
y[1] (analytic) = 1.7068015891159040580817374916491
y[1] (numeric) = 1.7068015891159040305817020986903
absolute error = 2.75000353929588e-17
relative error = 1.6112028233582427572839732101764e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3890660367902509994651331956557
y[1] (analytic) = 1.7073620723934148527661807312194
y[1] (numeric) = 1.7073620723934148252657401309065
absolute error = 2.75004406003129e-17
relative error = 1.6106976396495807980244423182683e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.621
Order of pole = 1.545
x[1] = 2.3900592889974383939753649850136
y[1] (analytic) = 1.7079225393641361380747025960272
y[1] (numeric) = 1.7079225393641361105738574088629
absolute error = 2.75008451871643e-17
relative error = 1.6101927665526876827706547140485e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3910525412046257884855967743715
y[1] (analytic) = 1.7084829900363941045516636346588
y[1] (numeric) = 1.7084829900363940770504144800377
absolute error = 2.75012491546211e-17
relative error = 1.6096882038044328666188018819041e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.326
Order of pole = 1.118
x[1] = 2.3920457934118131829958285637294
y[1] (analytic) = 1.7090434244185085673826972553968
y[1] (numeric) = 1.7090434244185085398810447516077
absolute error = 2.75016525037891e-17
relative error = 1.6091839511419299840753271505053e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.559
Order of pole = 1.186
x[1] = 2.3930390456190005775060603530873
y[1] (analytic) = 1.7096038425187929729018596727204
y[1] (numeric) = 1.709603842518792945399804436948
absolute error = 2.75020552357724e-17
relative error = 1.6086800083025714889829550559635e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3940322978261879720162921424452
y[1] (analytic) = 1.7101642443455544050904798897067
y[1] (numeric) = 1.7101642443455543775880225380343
absolute error = 2.75024573516724e-17
relative error = 1.6081763750239696681718412068120e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.3950255500333753665265239318031
y[1] (analytic) = 1.7107246299070935920677224171659
y[1] (numeric) = 1.7107246299070935645648635645776
absolute error = 2.75028588525883e-17
relative error = 1.6076730510439854532883073259079e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.396018802240562761036755721161
y[1] (analytic) = 1.7112849992117049125728754076688
y[1] (numeric) = 1.7112849992117048850696156680517
absolute error = 2.75032597396171e-17
relative error = 1.6071700361007279582993354894873e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.013
Order of pole = 0.6335
x[1] = 2.3970120544477501555469875105189
y[1] (analytic) = 1.7118453522676764024393768600066
y[1] (numeric) = 1.7118453522676763749357168461531
absolute error = 2.75036600138535e-17
relative error = 1.6066673299325481763534771422279e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=286.1MB, alloc=4.4MB, time=35.83
NO POLE
x[1] = 2.3980053066549375500572192998768
y[1] (analytic) = 1.7124056890832897610605915270451
y[1] (numeric) = 1.7124056890832897335565318506547
absolute error = 2.75040596763904e-17
relative error = 1.6061649322780677275399185896412e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 20.77
Order of pole = 14.7
x[1] = 2.3999918110693123390776828785926
y[1] (analytic) = 1.7135263140265372386772705189121
y[1] (numeric) = 1.7135263140265372111724133481881
absolute error = 2.75048571707240e-17
relative error = 1.6051610614657905147270597580190e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4009850632764997335879146679505
y[1] (analytic) = 1.7140866021707031323358521893454
y[1] (numeric) = 1.7140866021707031048305971846508
absolute error = 2.75052550046946e-17
relative error = 1.6046595877864166293927436570638e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4019783154836871280981464573084
y[1] (analytic) = 1.7146468741075744569493919575656
y[1] (numeric) = 1.714646874107574429443739726252
absolute error = 2.75056522313136e-17
relative error = 1.6041584215775927334983125486382e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4029715676908745226083782466663
y[1] (analytic) = 1.7152071298454013264096980558278
y[1] (numeric) = 1.7152071298454012989036492041655
absolute error = 2.75060488516623e-17
relative error = 1.6036575625791348780527695722743e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.677
Order of pole = 0.7352
x[1] = 2.4039648198980619171186100360242
y[1] (analytic) = 1.7157673693924275567906363017266
y[1] (numeric) = 1.7157673693924275292841914349066
absolute error = 2.75064448668200e-17
relative error = 1.6031570105311153118249412437293e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4049580721052493116288418253821
y[1] (analytic) = 1.7163275927568906727565137659905
y[1] (numeric) = 1.7163275927568906452496734881268
absolute error = 2.75068402778637e-17
relative error = 1.6026567651738445295644881249352e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.40595132431243670613907361474
y[1] (analytic) = 1.716887799947021913962313400126
y[1] (numeric) = 1.7168877999470218864550783142575
absolute error = 2.75072350858685e-17
relative error = 1.6021568262478941269119786602366e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4069445765196241006493054040979
y[1] (analytic) = 1.7174479909710462414457920557442
y[1] (numeric) = 1.7174479909710462139381627638373
absolute error = 2.75076292919069e-17
relative error = 1.6016571934940555621559064723923e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4079378287268114951595371934558
y[1] (analytic) = 1.718008165837182344011454305287
y[1] (numeric) = 1.7180081658371823165034314082376
absolute error = 2.75080228970494e-17
relative error = 1.6011578666533746677873025179099e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 29.75
Order of pole = 29.48
x[1] = 2.4089310809339988896697689828137
y[1] (analytic) = 1.7185683245536426446064144517872
y[1] (numeric) = 1.7185683245536426170979985494228
absolute error = 2.75084159023644e-17
relative error = 1.6006588454671453630742699350386e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4099243331411862841800007721716
y[1] (analytic) = 1.7191284671286333066881590932718
y[1] (numeric) = 1.7191284671286332791793507843535
absolute error = 2.75088083089183e-17
relative error = 1.6001601296769150128261502205065e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4109175853483736786902325615295
y[1] (analytic) = 1.7196885935703542405842225854278
y[1] (numeric) = 1.719688593570354213075022467653
absolute error = 2.75092001177748e-17
relative error = 1.5996617190244432557297085124974e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.24
Order of pole = 0.8431
x[1] = 2.4119108375555610732004643508874
y[1] (analytic) = 1.7202487038869991098437877242125
y[1] (numeric) = 1.7202487038869990823341963942166
absolute error = 2.75095913299959e-17
relative error = 1.5991636132517597361334059936207e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4129040897627484677106961402453
y[1] (analytic) = 1.720808798086755337581223948187
y[1] (numeric) = 1.7208087980867553100712420015458
absolute error = 2.75099819466412e-17
relative error = 1.5986658121011229324221560301311e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4138973419699358622209279296032
y[1] (analytic) = 1.7213688761778041128115753385061
y[1] (numeric) = 1.7213688761778040853012033697377
absolute error = 2.75103719687684e-17
relative error = 1.5981683153150487778261873025351e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4148905941771232567311597189611
y[1] (analytic) = 1.7219289381683203967780106726839
y[1] (numeric) = 1.7219289381683203692672492752512
absolute error = 2.75107613974327e-17
relative error = 1.5976711226362753436211154407969e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.415883846384310651241391508319
y[1] (analytic) = 1.7224889840664729292712477664955
y[1] (numeric) = 1.722488984066472901760097532808
absolute error = 2.75111502336875e-17
relative error = 1.5971742338078030635011797345053e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4168770985914980457516232976769
y[1] (analytic) = 1.7230490138804242349409643166508
y[1] (numeric) = 1.723049013880424207429425838067
absolute error = 2.75115384785838e-17
relative error = 1.5966776485728594319492537551719e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4178703507986854402618550870348
y[1] (analytic) = 1.7236090276183306295992074352043
y[1] (numeric) = 1.7236090276183306020872813020336
absolute error = 2.75119261331707e-17
relative error = 1.5961813666749275910988650451180e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4188636030058728347720868763927
y[1] (analytic) = 1.7241690252883422265158140450316
y[1] (numeric) = 1.7241690252883421990035008465364
absolute error = 2.75123131984952e-17
relative error = 1.5956853878577342627103224968706e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4198568552130602292823186657506
y[1] (analytic) = 1.7247290068986029427058542841147
y[1] (numeric) = 1.7247290068986029151931546085131
absolute error = 2.75126996756016e-17
relative error = 1.5951897118652145117015643443223e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4208501074202476237925504551085
y[1] (analytic) = 1.7252889724572505052091100448376
y[1] (numeric) = 1.7252889724572504776960244793048
absolute error = 2.75130855655328e-17
relative error = 1.5946943384415867048696796292878e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4218433596274350183027822444664
y[1] (analytic) = 1.7258489219724164573616007529876
y[1] (numeric) = 1.7258489219724164298481298836581
absolute error = 2.75134708693295e-17
relative error = 1.5941992673313056445299549278930e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4228366118346224128130140338243
y[1] (analytic) = 1.7264088554522261650591684697056
y[1] (numeric) = 1.7264088554522261375453128816756
absolute error = 2.75138555880300e-17
relative error = 1.5937044982790505476790541685769e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4238298640418098073232458231822
y[1] (analytic) = 1.726968772904798823013134378214
y[1] (numeric) = 1.7269687729047987954988946555437
absolute error = 2.75142397226703e-17
relative error = 1.5932100310297304201118354760578e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4248231162489972018334776125401
y[1] (analytic) = 1.7275286743382474609980386957806
y[1] (numeric) = 1.7275286743382474334834154214957
absolute error = 2.75146232742849e-17
relative error = 1.5927158653285299404884613898538e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
memory used=289.9MB, alloc=4.4MB, time=36.31
x[1] = 2.425816368456184596343709401898
y[1] (analytic) = 1.728088559760678950091476030048
y[1] (numeric) = 1.7280885597606789225764697861421
absolute error = 2.75150062439059e-17
relative error = 1.5922220009208568807074507153680e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4268096206633719908539411912559
y[1] (analytic) = 1.7286484291801940089060381775784
y[1] (numeric) = 1.7286484291801939813906495450151
absolute error = 2.75153886325633e-17
relative error = 1.5917284375523590469463215418894e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4278028728705593853641729806138
y[1] (analytic) = 1.7292082826048872098133763412199
y[1] (numeric) = 1.729208282604887182297605899935
absolute error = 2.75157704412849e-17
relative error = 1.5912351749689180559084041275574e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4287961250777467798744047699717
y[1] (analytic) = 1.7297681200428469851603947217051
y[1] (numeric) = 1.7297681200428469576442430506084
absolute error = 2.75161516710967e-17
relative error = 1.5907422129166720288550270499750e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4297893772849341743846365593296
y[1] (analytic) = 1.7303279415021556334775874177351
y[1] (numeric) = 1.7303279415021556059610550947125
absolute error = 2.75165323230226e-17
relative error = 1.5902495511419977869147990899506e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.886
Order of pole = 0.9888
x[1] = 2.4307826294921215688948683486875
y[1] (analytic) = 1.7308877469908893256795305476932
y[1] (numeric) = 1.730887746990889298162618149609
absolute error = 2.75169123980842e-17
relative error = 1.5897571893914988584185585665571e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.095
Order of pole = 0.5388
x[1] = 2.4317758816993089634051001380454
y[1] (analytic) = 1.7314475365171181112575414850616
y[1] (numeric) = 1.7314475365171180837402495877604
absolute error = 2.75172918973012e-17
relative error = 1.5892651274120281626744109310215e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.501
Order of pole = 1.479
x[1] = 2.4327691339064963579153319274033
y[1] (analytic) = 1.732007310088905924464517078588
y[1] (numeric) = 1.7320073100889058969468462568968
absolute error = 2.75176708216912e-17
relative error = 1.5887733649506760079577600472498e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4337623861136837524255637167612
y[1] (analytic) = 1.7325670677143105904919627072643
y[1] (numeric) = 1.7325670677143105629739135349945
absolute error = 2.75180491722698e-17
relative error = 1.5882819017547754282056019620017e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4347556383208711469357955061191
y[1] (analytic) = 1.7331268094013838316392239992388
y[1] (numeric) = 1.7331268094013838041207970491884
absolute error = 2.75184269500504e-17
relative error = 1.5877907375718901997044378583069e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.435748890528058541446027295477
y[1] (analytic) = 1.733686535158171273474933022883
y[1] (numeric) = 1.7336865351581712459561288668386
absolute error = 2.75188041560444e-17
relative error = 1.5872998721498259533032963515147e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.283
Order of pole = 1.774
x[1] = 2.4367421427352459359562590848349
y[1] (analytic) = 1.7342462449927124509906807373765
y[1] (numeric) = 1.7342462449927124234714999461152
absolute error = 2.75191807912613e-17
relative error = 1.5868093052366354990034046926497e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4377353949424333304664908741928
y[1] (analytic) = 1.734805938913040814746927469359
y[1] (numeric) = 1.7348059389130407872273706126504
absolute error = 2.75195568567086e-17
relative error = 1.5863190365806126116637009233241e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4387286471496207249767226635507
y[1] (analytic) = 1.7353656169271837370111631614238
y[1] (numeric) = 1.7353656169271837094912308080323
absolute error = 2.75199323533915e-17
relative error = 1.5858290659302743038731764428634e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4397218993568081194869544529086
y[1] (analytic) = 1.7359252790431625178883291174979
y[1] (numeric) = 1.7359252790431624903680218351847
absolute error = 2.75203072823132e-17
relative error = 1.5853393930343776969037852504964e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4407151515639955139971862422665
y[1] (analytic) = 1.7364849252689923914435129494622
y[1] (numeric) = 1.7364849252689923639228313049871
absolute error = 2.75206816444751e-17
relative error = 1.5848500176419311003665656732814e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4417084037711829085074180316244
y[1] (analytic) = 1.7370445556126825318169284087182
y[1] (numeric) = 1.7370445556126825042958729678415
absolute error = 2.75210554408767e-17
relative error = 1.5843609395021877998252913193830e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.809
Order of pole = 1.244
x[1] = 2.4427016559783703030176498209823
y[1] (analytic) = 1.7376041700822360593311917658008
y[1] (numeric) = 1.7376041700822360318097630932857
absolute error = 2.75214286725151e-17
relative error = 1.5838721583646168363026572440868e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 8.117
Order of pole = 2.619
x[1] = 2.4436949081855576975278816103402
y[1] (analytic) = 1.738163768685650046590906380574
y[1] (numeric) = 1.7381637686856500190691050401887
absolute error = 2.75218013403853e-17
relative error = 1.5833836739789198679034213269200e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4446881603927450920381133996981
y[1] (analytic) = 1.7387233514309155245745670850216
y[1] (numeric) = 1.7387233514309154970523936395407
absolute error = 2.75221734454809e-17
relative error = 1.5828954860950710043478493083197e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.445681412599932486548345189056
y[1] (analytic) = 1.73928291832601748871879598016
y[1] (numeric) = 1.739282918326017461196250991367
absolute error = 2.75225449887930e-17
relative error = 1.5824075944632530737725208353398e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.846
Order of pole = 1.597
x[1] = 2.4466746648071198810585769784139
y[1] (analytic) = 1.7398424693789349049949212281674
y[1] (numeric) = 1.7398424693789348774720052568563
absolute error = 2.75229159713111e-17
relative error = 1.5819199988339089655434240386361e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 10.94
Order of pole = 4.343
x[1] = 2.4476679170143072755688087677718
y[1] (analytic) = 1.7404020045976407159779104004144
y[1] (numeric) = 1.7404020045976406884546240063923
absolute error = 2.75232863940221e-17
relative error = 1.5814326989576837039335256204239e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.8
Order of pole = 1.239
x[1] = 2.4486611692214946700790405571297
y[1] (analytic) = 1.7409615239901018469076699217318
y[1] (numeric) = 1.7409615239901018193840136638204
absolute error = 2.75236562579114e-17
relative error = 1.5809456945854872565900929492134e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4496544214286820645892723464876
y[1] (analytic) = 1.741521027564279211742722130926
y[1] (numeric) = 1.7415210275642791842186965669634
absolute error = 2.75240255639626e-17
relative error = 1.5804589854684768325155258444365e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4506476736358694590995041358455
y[1] (analytic) = 1.7420805153281277192062714572796
y[1] (numeric) = 1.742080515328127691681877144123
absolute error = 2.75243943131566e-17
relative error = 1.5799725713580047726736843255466e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4516409258430568536097359252034
y[1] (analytic) = 1.7426399872895962788246711925411
y[1] (numeric) = 1.7426399872895962512999086860683
absolute error = 2.75247625064728e-17
relative error = 1.5794864520056870478808600988007e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4526341780502442481199677145613
y[1] (analytic) = 1.7431994434566278069583023177066
y[1] (numeric) = 1.7431994434566277794331721728178
absolute error = 2.75251301448888e-17
relative error = 1.5790006271633855762037432455370e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.834
Order of pole = 1.248
x[1] = 2.4536274302574316426301995039192
memory used=293.7MB, alloc=4.4MB, time=36.79
y[1] (analytic) = 1.7437588838371592328248758237456
y[1] (numeric) = 1.7437588838371592052993785943656
absolute error = 2.75254972293800e-17
relative error = 1.5785150965831848397482464408202e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.927
Order of pole = 0.9933
x[1] = 2.4546206824646190371404312932771
y[1] (analytic) = 1.7443183084391215045151699453092
y[1] (numeric) = 1.7443183084391214769893061843894
absolute error = 2.75258637609198e-17
relative error = 1.5780298600174029439237502954700e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 11.61
Order of pole = 4.811
x[1] = 2.455613934671806431650663082635
y[1] (analytic) = 1.7448777172704395950012137063836
y[1] (numeric) = 1.7448777172704395674749839659039
absolute error = 2.75262297404797e-17
relative error = 1.5775449172185969244578182924580e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4566071868789938261608948719929
y[1] (analytic) = 1.7454371103390325081369281568184
y[1] (numeric) = 1.7454371103390324806103329877893
absolute error = 2.75265951690291e-17
relative error = 1.5770602679395508566202984678182e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4576004390861812206711266613508
y[1] (analytic) = 1.7459964876528132846512366586681
y[1] (numeric) = 1.7459964876528132571242766111322
absolute error = 2.75269600475359e-17
relative error = 1.5765759119333098064983662290761e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4585936912933686151813584507087
y[1] (analytic) = 1.7465558492196890081336555613286
y[1] (numeric) = 1.7465558492196889806063311843629
absolute error = 2.75273243769657e-17
relative error = 1.5760918489531335593585973036215e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.427
Order of pole = 1.125
x[1] = 2.4595869435005560096915902400666
y[1] (analytic) = 1.7471151950475608110123765845422
y[1] (numeric) = 1.7471151950475607834846884262601
absolute error = 2.75276881582821e-17
relative error = 1.5756080787525133979141415159604e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4605801957077434042018220294245
y[1] (analytic) = 1.7476745251443238805248522084671
y[1] (numeric) = 1.7476745251443238529968008160203
absolute error = 2.75280513924468e-17
relative error = 1.5751246010851774046779261493087e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4615734479149307987120538187824
y[1] (analytic) = 1.7482338395178674646808953501772
y[1] (numeric) = 1.7482338395178674371524812697571
absolute error = 2.75284140804201e-17
relative error = 1.5746414157051186344570318220482e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4625667001221181932222856081403
y[1] (analytic) = 1.7487931381760748782183045861621
y[1] (numeric) = 1.7487931381760748506895283630025
absolute error = 2.75287762231596e-17
relative error = 1.5741585223665203047463059300262e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4635599523293055877325173974982
y[1] (analytic) = 1.7493524211268235085510261606477
y[1] (numeric) = 1.7493524211268234810218883390264
absolute error = 2.75291378216213e-17
relative error = 1.5736759208238183233399238023086e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4645532045364929822427491868561
y[1] (analytic) = 1.7499116883779848217098639998381
y[1] (numeric) = 1.7499116883779847941803651230787
absolute error = 2.75294988767594e-17
relative error = 1.5731936108316894066568956532351e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.465546456743680376752980976214
y[1] (analytic) = 1.7504709399374243682757489325096
y[1] (numeric) = 1.7504709399374243407458895429834
absolute error = 2.75298593895262e-17
relative error = 1.5727115921450449336785498876742e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4665397089508677712632127655719
y[1] (analytic) = 1.7510301758130017893055782977495
y[1] (numeric) = 1.7510301758130017617753589368775
absolute error = 2.75302193608720e-17
relative error = 1.5722298645190248117490984287818e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4675329611580551657734445549298
y[1] (analytic) = 1.7515893960125708222506371010384
y[1] (numeric) = 1.7515893960125707947200583092934
absolute error = 2.75305787917450e-17
relative error = 1.5717484277089913542115049047739e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4685262133652425602836763442877
y[1] (analytic) = 1.7521486005439793068676118603178
y[1] (numeric) = 1.752148600543979279336674177226
absolute error = 2.75309376830918e-17
relative error = 1.5712672814705574135218265103919e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4695194655724299547939081336456
y[1] (analytic) = 1.752707789415069191122208264165
y[1] (numeric) = 1.7527077894150691635909122283079
absolute error = 2.75312960358571e-17
relative error = 1.5707864255595688169314371469401e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.798
Order of pole = 0.7485
x[1] = 2.4705127177796173493041399230035
y[1] (analytic) = 1.7532669626336765370853837447226
y[1] (numeric) = 1.753266962633676509553729893739
absolute error = 2.75316538509836e-17
relative error = 1.5703058597320982431425509533316e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4715059699868047438143717123614
y[1] (analytic) = 1.7538261202076315268222060485878
y[1] (numeric) = 1.7538261202076314992901949191761
absolute error = 2.75320111294117e-17
relative error = 1.5698255837444277071221767360786e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4724992221939921383246035017193
y[1] (analytic) = 1.7543852621447584682733488694686
y[1] (numeric) = 1.7543852621447584407409809973878
absolute error = 2.75323678720808e-17
relative error = 1.5693455973531222785292859574315e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4734924744011795328348352910772
y[1] (analytic) = 1.7549443884528758011292355870473
y[1] (numeric) = 1.7549443884528757735965115071194
absolute error = 2.75327240799279e-17
relative error = 1.5688659003149498082730856584145e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4744857266083669273450670804351
y[1] (analytic) = 1.755503499139796102696842137176
y[1] (numeric) = 1.7555034991397960751637623832877
absolute error = 2.75330797538883e-17
relative error = 1.5683864923869204323596384085015e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.475478978815554321855298869793
y[1] (analytic) = 1.756062594213326093759170019238
y[1] (numeric) = 1.756062594213326066225735124343
absolute error = 2.75334348948950e-17
relative error = 1.5679073733262519711026371204053e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4764722310227417163655306591509
y[1] (analytic) = 1.7566216736812666444274004272674
y[1] (numeric) = 1.7566216736812666168936109233879
absolute error = 2.75337895038795e-17
relative error = 1.5674285428904150929289583124316e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4774654832299291108757624485088
y[1] (analytic) = 1.7571807375514127799857404722088
y[1] (numeric) = 1.7571807375514127524515968904371
absolute error = 2.75341435817717e-17
relative error = 1.5669500008371271736401588751618e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4784587354371165053859942378667
y[1] (analytic) = 1.7577397858315536867289724435309
y[1] (numeric) = 1.7577397858315536591944753140317
absolute error = 2.75344971294992e-17
relative error = 1.5664717469243120327326006500385e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4794519876443038998962260272246
y[1] (analytic) = 1.7582988185294727177927170392796
y[1] (numeric) = 1.7582988185294726902578668912919
absolute error = 2.75348501479877e-17
relative error = 1.5659937809101223070804708097884e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4804452398514912944064578165825
y[1] (analytic) = 1.7588578356529473989764214745603
y[1] (numeric) = 1.7588578356529473714412188363988
absolute error = 2.75352026381615e-17
relative error = 1.5655161025529674675397145975636e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.013
Order of pole = 0.6278
x[1] = 2.4814384920586786889166896059404
y[1] (analytic) = 1.7594168372097494345590833593844
y[1] (numeric) = 1.7594168372097494070235287584416
absolute error = 2.75355546009428e-17
relative error = 1.5650387116114735778082229917267e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=297.5MB, alloc=4.4MB, time=37.24
NO POLE
x[1] = 2.4824317442658660834269213952983
y[1] (analytic) = 1.7599758232076447131077212178026
y[1] (numeric) = 1.7599758232076446855718151805507
absolute error = 2.75359060372519e-17
relative error = 1.5645616078444942671236768219791e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.393
Order of pole = 1.789
x[1] = 2.4834249964730534779371531846562
y[1] (analytic) = 1.7605347936543933132786025012648
y[1] (numeric) = 1.7605347936543932857423455532576
absolute error = 2.75362569480072e-17
relative error = 1.5640847910111103219540682838650e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.639
Order of pole = 0.5847
x[1] = 2.4844182486802408724473849740141
y[1] (analytic) = 1.7610937485577495096112399302088
y[1] (numeric) = 1.7610937485577494820746325960833
absolute error = 2.75366073341255e-17
relative error = 1.5636082608706463134155157434193e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.105
Order of pole = 1.031
x[1] = 2.485411500887428266957616763372
y[1] (analytic) = 1.7616526879254617783151669789744
y[1] (numeric) = 1.7616526879254617507782097824527
absolute error = 2.75369571965217e-17
relative error = 1.5631320171826531341911254293001e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.525
Order of pole = 0.7006
x[1] = 2.4864047530946156614678485527299
y[1] (analytic) = 1.7622116117652728030495033002774
y[1] (numeric) = 1.7622116117652727755121967641685
absolute error = 2.75373065361089e-17
relative error = 1.5626560597069132675155200150004e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4873980053018030559780803420878
y[1] (analytic) = 1.7627705200849194806953208666472
y[1] (numeric) = 1.762770520084919453157665512849
absolute error = 2.75376553537982e-17
relative error = 1.5621803882034290275522363803648e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.948
Order of pole = 1.27
x[1] = 2.4883912575089904504883121314457
y[1] (analytic) = 1.7633294128921329271208215874452
y[1] (numeric) = 1.7633294128921328995828179369462
absolute error = 2.75380036504990e-17
relative error = 1.5617050024324391776666617746882e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4893845097161778449985439208036
y[1] (analytic) = 1.7638882901946384829393371413253
y[1] (numeric) = 1.7638882901946384554009857142061
absolute error = 2.75383514271192e-17
relative error = 1.5612299021544298478931066613007e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4903777619233652395087757101615
y[1] (analytic) = 1.7644471520001557192601617452834
y[1] (numeric) = 1.7644471520001556917214630607191
absolute error = 2.75386986845643e-17
relative error = 1.5607550871300830892624764899525e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4913710141305526340190074995194
y[1] (analytic) = 1.7650059983163984434322285627672
y[1] (numeric) = 1.7650059983163984158931831390289
absolute error = 2.75390454237383e-17
relative error = 1.5602805571203275086034908703523e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.228
Order of pole = 0.827
x[1] = 2.4923642663377400285292392888773
y[1] (analytic) = 1.7655648291510747047806404346735
y[1] (numeric) = 1.7655648291510746772412487891301
absolute error = 2.75393916455434e-17
relative error = 1.5598063118863208403415667044186e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4933575185449274230394710782352
y[1] (analytic) = 1.7661236445118868003360655984575
y[1] (numeric) = 1.7661236445118867727963282475773
absolute error = 2.75397373508802e-17
relative error = 1.5593323511894608620556538598724e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.272
Order of pole = 0.8357
x[1] = 2.4943507707521148175497028675931
y[1] (analytic) = 1.7666824444065312805570090420125
y[1] (numeric) = 1.7666824444065312530169265013654
absolute error = 2.75400825406471e-17
relative error = 1.5588586747913510067855012687293e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.495344022959302212059934656951
y[1] (analytic) = 1.7672412288426989550449701204493
y[1] (numeric) = 1.7672412288426989275045429047083
absolute error = 2.75404272157410e-17
relative error = 1.5583852824538396016407833362867e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4963372751664896065701664463089
y[1] (analytic) = 1.7677999978280748982524970454087
y[1] (numeric) = 1.7677999978280748707117256683518
absolute error = 2.75407713770569e-17
relative error = 1.5579121739389968078380637870322e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.211
Order of pole = 0.8228
x[1] = 2.4973305273736770010803982356668
y[1] (analytic) = 1.7683587513703384551841488380879
y[1] (numeric) = 1.7683587513703384276430338125997
absolute error = 2.75411150254882e-17
relative error = 1.5574393490091311892656514062528e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4983237795808643955906300250247
y[1] (analytic) = 1.768917489477163247090375318739
y[1] (numeric) = 1.7689174894771632195489171568127
absolute error = 2.75414581619263e-17
relative error = 1.5569668074267666775023382257737e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.4993170317880517901008618143826
y[1] (analytic) = 1.7694762121562171771543256870174
y[1] (numeric) = 1.7694762121562171496125248997566
absolute error = 2.75418007872608e-17
relative error = 1.5564945489546534888970909999128e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5003102839952391846110936037405
y[1] (analytic) = 1.7700349194151624361715962292104
y[1] (numeric) = 1.7700349194151624086294533268306
absolute error = 2.75421429023798e-17
relative error = 1.5560225733557846706568934843056e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5013035362024265791213253930984
y[1] (analytic) = 1.7705936112616555082229276700651
y[1] (numeric) = 1.7705936112616554806804431618956
absolute error = 2.75424845081695e-17
relative error = 1.5555508803933730809243552575111e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.307
Order of pole = 1.38
x[1] = 2.5022967884096139736315571824563
y[1] (analytic) = 1.7711522877033471763398626686639
y[1] (numeric) = 1.7711522877033471487970370631495
absolute error = 2.75428256055144e-17
relative error = 1.5550794698308622887549433816462e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5032900406168013681417889718142
y[1] (analytic) = 1.7717109487478825281633739395562
y[1] (numeric) = 1.7717109487478825006202077442593
absolute error = 2.75431661952969e-17
relative error = 1.5546083414319035879807851791646e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5042832928239887626520207611721
y[1] (analytic) = 1.7722695944029009615954734621557
y[1] (numeric) = 1.7722695944029009340519671837575
absolute error = 2.75435062783982e-17
relative error = 1.5541374949604064068984258423834e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.50527654503117615716225255053
y[1] (analytic) = 1.7728282246760361904438132232444
y[1] (numeric) = 1.772828224676036162899967367547
absolute error = 2.75438458556974e-17
relative error = 1.5536669301804870900466042936651e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.308
Order of pole = 1.74
x[1] = 2.5062697972383635516724843398879
y[1] (analytic) = 1.7733868395749162500592879193007
y[1] (numeric) = 1.7733868395749162225151029912288
absolute error = 2.75441849280719e-17
relative error = 1.5531966468564910829275676501104e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5072630494455509461827161292458
y[1] (analytic) = 1.7739454391071635029666500272706
y[1] (numeric) = 1.7739454391071634754221265308732
absolute error = 2.75445234963974e-17
relative error = 1.5527266447529925262817602037926e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.415
Order of pole = 0.6816
x[1] = 2.5082563016527383406929479186037
y[1] (analytic) = 1.7745040232803946444881476343472
y[1] (numeric) = 1.7745040232803946169432860727995
absolute error = 2.75448615615477e-17
relative error = 1.5522569236347825804524306830299e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5092495538599257352031797079616
y[1] (analytic) = 1.775062592102220708360195399302
y[1] (numeric) = 1.7750625921022206808149962749066
absolute error = 2.75451991243954e-17
relative error = 1.5517874832669084743102804065050e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=301.3MB, alloc=4.4MB, time=37.70
NO POLE
x[1] = 2.5102428060671131297134114973195
y[1] (analytic) = 1.7756211455802470723430889999226
y[1] (numeric) = 1.7756211455802470447975528141119
absolute error = 2.75455361858107e-17
relative error = 1.5513183234146054757454951791090e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5112360582743005242236432866774
y[1] (analytic) = 1.7761796837220734638237734031682
y[1] (numeric) = 1.7761796837220734362779006565057
absolute error = 2.75458727466625e-17
relative error = 1.5508494438433584820004123350820e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5122293104814879187338750760353
y[1] (analytic) = 1.7767382065352939654116752767318
y[1] (numeric) = 1.776738206535293937865466468914
absolute error = 2.75462088078178e-17
relative error = 1.5503808443188678129580628047609e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5132225626886753132441068653932
y[1] (analytic) = 1.7772967140274970205276098428248
y[1] (numeric) = 1.7772967140274969929810654726827
absolute error = 2.75465443701421e-17
relative error = 1.5499125246070713342324222425142e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.056
Order of pole = 2.046
x[1] = 2.5142158148958627077543386547511
y[1] (analytic) = 1.7778552062062654389857724571538
y[1] (numeric) = 1.7778552062062654114388930226549
absolute error = 2.75468794344989e-17
relative error = 1.5494444844741159158412716003110e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.515209067103050102264570444109
y[1] (analytic) = 1.7784136830791764025688251782515
y[1] (numeric) = 1.7784136830791763750216111765015
absolute error = 2.75472140017500e-17
relative error = 1.5489767236863739286444006599251e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5162023193102374967748022334669
y[1] (analytic) = 1.7789721446538014705960885745513
y[1] (numeric) = 1.7789721446538014430485405017955
absolute error = 2.75475480727558e-17
relative error = 1.5485092420104597097850493490455e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5171955715174248912850340228248
y[1] (analytic) = 1.7795305909377065854848489988545
y[1] (numeric) = 1.7795305909377065579369673504797
absolute error = 2.75478816483748e-17
relative error = 1.5480420392132010415299388202882e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5181888237246122857952658121827
y[1] (analytic) = 1.780089021938452078304791542141
y[1] (numeric) = 1.7800890219384520507565768126772
absolute error = 2.75482147294638e-17
relative error = 1.5475751150616500077484707132639e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.726
Order of pole = 1.515
x[1] = 2.5191820759317996803054976015406
y[1] (analytic) = 1.7806474376635926743255688610019
y[1] (numeric) = 1.780647437663592646777021544124
absolute error = 2.75485473168779e-17
relative error = 1.5471084693230825981696893917770e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5201753281389870748157293908985
y[1] (analytic) = 1.7812058381206774985575160553432
y[1] (numeric) = 1.7812058381206774710086366438727
absolute error = 2.75488794114705e-17
relative error = 1.5466421017649983134600869278948e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5211685803461744693259611802564
y[1] (analytic) = 1.7817642233172500812855217554085
y[1] (numeric) = 1.781764223317250053736310741315
absolute error = 2.75492110140935e-17
relative error = 1.5461760121551309959499960269481e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5221618325533618638361929696143
y[1] (analytic) = 1.782322593260848363596065559608
y[1] (numeric) = 1.7823225932608483360465234340111
absolute error = 2.75495421255969e-17
relative error = 1.5457102002614259761381256566768e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5231550847605492583464247589722
y[1] (analytic) = 1.7828809479590047028974319471118
y[1] (numeric) = 1.7828809479590046753475592002828
absolute error = 2.75498727468290e-17
relative error = 1.5452446658520509156132186802397e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5241483369677366528566565483301
y[1] (analytic) = 1.7834392874192458784331107716706
y[1] (numeric) = 1.783439287419245850882907893034
absolute error = 2.75502028786366e-17
relative error = 1.5447794086954066296825459644653e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.525141589174924047366888337688
y[1] (analytic) = 1.7839976116490930967883944256685
y[1] (numeric) = 1.7839976116490930692378619038038
absolute error = 2.75505325218647e-17
relative error = 1.5443144285601098628101910502458e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5261348413821114418771201270459
y[1] (analytic) = 1.7845559206560619973901817459875
y[1] (numeric) = 1.7845559206560619698393200686308
absolute error = 2.75508616773567e-17
relative error = 1.5438497252150041146399946743386e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5271280935892988363873519164038
y[1] (analytic) = 1.7851142144476626579999987158727
y[1] (numeric) = 1.7851142144476626304488083699184
absolute error = 2.75511903459543e-17
relative error = 1.5433852984291536401306610394129e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.744
Order of pole = 1.517
x[1] = 2.5281213457964862308975837057617
y[1] (analytic) = 1.7856724930313996002002459996306
y[1] (numeric) = 1.7856724930313995726487274711331
absolute error = 2.75515185284975e-17
relative error = 1.5429211479718430611526363076425e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5291145980036736254078154951196
y[1] (analytic) = 1.7862307564147717948736833296716
y[1] (numeric) = 1.7862307564147717673218371038466
absolute error = 2.75518462258250e-17
relative error = 1.5424572736125993724115083429991e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5301078502108610199180472844775
y[1] (analytic) = 1.7867890046052726676761607481187
y[1] (numeric) = 1.7867890046052726401239873093454
absolute error = 2.75521734387733e-17
relative error = 1.5419936751211411499819481489840e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5311011024180484144282790738354
y[1] (analytic) = 1.787347237610390104502606687953
y[1] (numeric) = 1.7873472376103900769501065197755
absolute error = 2.75525001681775e-17
relative error = 1.5415303522674229681233158131673e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5320943546252358089385108631933
y[1] (analytic) = 1.7879054554376064569462828614437
y[1] (numeric) = 1.7879054554376064293934564465728
absolute error = 2.75528264148709e-17
relative error = 1.5410673048216126153165391020760e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5330876068324232034487426525512
y[1] (analytic) = 1.7884636580943985477513159064276
y[1] (numeric) = 1.788463658094398520198163726742
absolute error = 2.75531521796856e-17
relative error = 1.5406045325541242669566147703738e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5340808590396105979589744419091
y[1] (analytic) = 1.7890218455882376762585157238476
y[1] (numeric) = 1.7890218455882376487050382603958
absolute error = 2.75534774634518e-17
relative error = 1.5401420352355789306110803830211e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.535074111246797992469206231267
y[1] (analytic) = 1.7895800179265896238444904228455
y[1] (numeric) = 1.7895800179265895962906881558478
absolute error = 2.75538022669977e-17
relative error = 1.5396798126367984927984996563641e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.321
Order of pole = 0.6654
x[1] = 2.5360673634539853869794380206249
y[1] (analytic) = 1.7901381751169146593540677726178
y[1] (numeric) = 1.7901381751169146317999411814674
absolute error = 2.75541265911504e-17
relative error = 1.5392178645288556385860623337007e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5370606156611727814896698099828
y[1] (analytic) = 1.7906963171666675445260330431907
y[1] (numeric) = 1.7906963171666675169715826064553
absolute error = 2.75544504367354e-17
relative error = 1.5387561906830454960245637915297e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
memory used=305.1MB, alloc=4.4MB, time=38.18
x[1] = 2.5380538678683601759999015993407
y[1] (analytic) = 1.7912544440832975394121931002559
y[1] (numeric) = 1.7912544440832975118574192956798
absolute error = 2.75547738045761e-17
relative error = 1.5382947908708573336719456135113e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5390471200755475705101333886986
y[1] (analytic) = 1.7918125558742484077897766022259
y[1] (numeric) = 1.7918125558742483802346799067314
absolute error = 2.75550966954945e-17
relative error = 1.5378336648640132823754655908366e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5400403722827349650203651780565
y[1] (analytic) = 1.7923706525469584225671801307122
y[1] (numeric) = 1.792370652546958395011761020401
absolute error = 2.75554191103112e-17
relative error = 1.5373728124344679303604074687173e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5410336244899223595305969674144
y[1] (analytic) = 1.7929287341088603711830700687173
y[1] (numeric) = 1.7929287341088603436273290188724
absolute error = 2.75557410498449e-17
relative error = 1.5369122333543800318173945820028e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5420268766971097540408287567723
y[1] (analytic) = 1.7934868005673815609988500239464
y[1] (numeric) = 1.7934868005673815334427875090335
absolute error = 2.75560625149129e-17
relative error = 1.5364519273961400256942433530991e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5430201289042971485510605461302
y[1] (analytic) = 1.7940448519299438246845035777928
y[1] (numeric) = 1.7940448519299437971281200714621
absolute error = 2.75563835063307e-17
relative error = 1.5359918943323473372295200457000e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.015
Order of pole = 0.5315
x[1] = 2.5440133811114845430612923354881
y[1] (analytic) = 1.7946028882039635255978221237348
y[1] (numeric) = 1.7946028882039634980411180988226
absolute error = 2.75567040249122e-17
relative error = 1.5355321339358211554899173392973e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.545006633318671937571524124846
y[1] (analytic) = 1.7951609093968515631570275420979
y[1] (numeric) = 1.7951609093968515356000034706278
absolute error = 2.75570240714701e-17
relative error = 1.5350726459796223319407143612661e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5469931377330467265919877035618
y[1] (analytic) = 1.7962769065688489583777166796332
y[1] (numeric) = 1.7962769065688489308200539278772
absolute error = 2.75576627517560e-17
relative error = 1.5341544864814388580546237232406e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 8.544
Order of pole = 2.729
x[1] = 2.5479863899402341211022194929197
y[1] (analytic) = 1.7968348825627528434391228626755
y[1] (numeric) = 1.7968348825627528158811414755746
absolute error = 2.75579813871009e-17
relative error = 1.5336958144866414717270393183146e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5489796421474215156124512822776
y[1] (analytic) = 1.7973928435051141306454254993117
y[1] (numeric) = 1.7973928435051141030871259456559
absolute error = 2.75582995536558e-17
relative error = 1.5332374140265340516552546059467e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5499728943546089101226830716355
y[1] (analytic) = 1.7979507894033164800758384770529
y[1] (numeric) = 1.7979507894033164525172212248279
absolute error = 2.75586172522250e-17
relative error = 1.5327792848752463013552228964712e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.172
Order of pole = 1.031
x[1] = 2.5509661465617963046329148609934
y[1] (analytic) = 1.7985087202647381199675775052915
y[1] (numeric) = 1.7985087202647380924086430216801
absolute error = 2.75589344836114e-17
relative error = 1.5323214268071361401467338223558e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5519593987689836991431466503513
y[1] (analytic) = 1.7990666360967518520425181563043
y[1] (numeric) = 1.799066636096751824483266907688
absolute error = 2.75592512486163e-17
relative error = 1.5318638395967781909563736418615e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5529526509761710936533784397092
y[1] (analytic) = 1.7996245369067250568273261179436
y[1] (numeric) = 1.7996245369067250292677585699039
absolute error = 2.75595675480397e-17
relative error = 1.5314065230189800731800410340705e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.759
Order of pole = 1.189
x[1] = 2.5539459031833584881636102290671
y[1] (analytic) = 1.8001824227020196989670692553825
y[1] (numeric) = 1.8001824227020196714071858727031
absolute error = 2.75598833826794e-17
relative error = 1.5309494768487320054105388855277e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.044
Order of pole = 0.6271
x[1] = 2.554939155390545882673842018425
y[1] (analytic) = 1.8007402934899923325323210628259
y[1] (numeric) = 1.8007402934899923049721223094938
absolute error = 2.75601987533321e-17
relative error = 1.5304927008612675673500329650415e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5559324075977332771840738077829
y[1] (analytic) = 1.8012981492779941063197650696688
y[1] (numeric) = 1.8012981492779940787592514088759
absolute error = 2.75605136607929e-17
relative error = 1.5300361948320355240540328417859e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5569256598049206716943055971408
y[1] (analytic) = 1.8018559900733707691463097491928
y[1] (numeric) = 1.8018559900733707415854816433373
absolute error = 2.75608281058555e-17
relative error = 1.5295799585367105514194733020856e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5579189120121080662045373864987
y[1] (analytic) = 1.8024138158834626751367234615284
y[1] (numeric) = 1.8024138158834626475755813722169
absolute error = 2.75611420893115e-17
relative error = 1.5291239917511540087878101510230e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5589121642192954607147691758566
y[1] (analytic) = 1.802971626715604789004798946284
y[1] (numeric) = 1.8029716267156047614433433343327
absolute error = 2.75614556119513e-17
relative error = 1.5286682942514635268219443032528e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5599054164264828552250009652145
y[1] (analytic) = 1.8035294225771266913280568639413
y[1] (numeric) = 1.8035294225771266637662881893774
absolute error = 2.75617686745639e-17
relative error = 1.5282128658139615119114040440841e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5608986686336702497352327545724
y[1] (analytic) = 1.8040872034753525838159978688528
y[1] (numeric) = 1.8040872034753525562539165909161
absolute error = 2.75620812779367e-17
relative error = 1.5277577062151836719756446580769e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5618919208408576442454645439303
y[1] (analytic) = 1.8046449694176012945719126804438
y[1] (numeric) = 1.8046449694176012670095192575886
absolute error = 2.75623934228552e-17
relative error = 1.5273028152318620223609465328158e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5628851730480450387556963332882
y[1] (analytic) = 1.8052027204111862833482596030202
y[1] (numeric) = 1.8052027204111862557855544929165
absolute error = 2.75627051101037e-17
relative error = 1.5268481926409633187517880506971e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5638784252552324332659281226461
y[1] (analytic) = 1.8057604564634156467956189284091
y[1] (numeric) = 1.8057604564634156192326025879443
absolute error = 2.75630163404648e-17
relative error = 1.5263938382196609649295523692327e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.564871677462419827776159912004
y[1] (analytic) = 1.8063181775815921237052336395249
y[1] (numeric) = 1.8063181775815920961419065248049
absolute error = 2.75633271147200e-17
relative error = 1.5259397517453678700018831179876e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5658649296696072222863917013619
memory used=309.0MB, alloc=4.4MB, time=38.65
y[1] (analytic) = 1.8068758837730131002451458168429
y[1] (numeric) = 1.8068758837730130726815083831942
absolute error = 2.75636374336487e-17
relative error = 1.5254859329956806942199084544560e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5668581818767946167966234907198
y[1] (analytic) = 1.8074335750449706151899381336901
y[1] (numeric) = 1.8074335750449705876259908356612
absolute error = 2.75639472980289e-17
relative error = 1.5250323817484182541027528778918e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5678514340839820113068552800777
y[1] (analytic) = 1.8079912514047513651440898102152
y[1] (numeric) = 1.8079912514047513375798331015778
absolute error = 2.75642567086374e-17
relative error = 1.5245790977816322015502604783551e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5688446862911694058170870694356
y[1] (analytic) = 1.8085489128596367097589563798884
y[1] (numeric) = 1.8085489128596366821943907136393
absolute error = 2.75645656662491e-17
relative error = 1.5241260808735679196162282259911e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5698379384983568003273188587935
y[1] (analytic) = 1.8091065594169026769433826064006
y[1] (numeric) = 1.8091065594169026493785084347628
absolute error = 2.75648741716378e-17
relative error = 1.5236733308027084045308083590822e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5708311907055441948375506481514
y[1] (analytic) = 1.8096641910838199680679578728788
y[1] (numeric) = 1.8096641910838199405027756473035
absolute error = 2.75651822255753e-17
relative error = 1.5232208473477241265779491959495e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.7639
Order of pole = 0.5176
x[1] = 2.5718244429127315893477824375093
y[1] (analytic) = 1.8102218078676539631629233494182
y[1] (numeric) = 1.810221807867653935597433520586
absolute error = 2.75654898288322e-17
relative error = 1.5227686302875168948568851104955e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5728176951199189838580142268672
y[1] (analytic) = 1.8107794097756647261097402290404
y[1] (numeric) = 1.8107794097756646985439432468627
absolute error = 2.75657969821777e-17
relative error = 1.5223166794012084162262375542009e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5738109473271063783682460162251
y[1] (analytic) = 1.8113369968151070098263283063299
y[1] (numeric) = 1.8113369968151069822602246199507
absolute error = 2.75661036863792e-17
relative error = 1.5218649944681178338830389589318e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 8.809
Order of pole = 2.838
x[1] = 2.574804199534293772878477805583
y[1] (analytic) = 1.8118945689932302614459841571781
y[1] (numeric) = 1.8118945689932302338795742149753
absolute error = 2.75664099422028e-17
relative error = 1.5214135752677889792477729069298e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5757974517414811673887095949409
y[1] (analytic) = 1.8124521263172786274899881622636
y[1] (numeric) = 1.8124521263172785999232724118505
absolute error = 2.75667157504131e-17
relative error = 1.5209624215799789519059856953311e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5767907039486685618989413842988
y[1] (analytic) = 1.8130096687944909590339096011361
y[1] (numeric) = 1.813009668794490931466888489363
absolute error = 2.75670211117731e-17
relative error = 1.5205115331846522363817893226052e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.058
Order of pole = 0.6274
x[1] = 2.5777839561558559564091731736567
y[1] (analytic) = 1.8135671964321008168676190280363
y[1] (numeric) = 1.8135671964321007893002930009919
absolute error = 2.75673260270444e-17
relative error = 1.5200609098619913718157578053606e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5787772083630433509194049630146
y[1] (analytic) = 1.81412470923733647664901712488
y[1] (numeric) = 1.814124709237336449081386627893
absolute error = 2.75676304969870e-17
relative error = 1.5196105513923855528356959547122e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5797704605702307454296367523725
y[1] (analytic) = 1.814682207217420934051489211164
y[1] (numeric) = 1.8146822072174209064835546888043
absolute error = 2.75679345223597e-17
relative error = 1.5191604575564523151485269433310e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.015
Order of pole = 0.5309
x[1] = 2.5807637127774181399398685417304
y[1] (analytic) = 1.8152396903795719099050945749051
y[1] (numeric) = 1.8152396903795718823368564709855
absolute error = 2.75682381039196e-17
relative error = 1.5187106281350096010106679331341e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5817569649846055344501003310883
y[1] (analytic) = 1.8157971587310018553314997731171
y[1] (numeric) = 1.8157971587310018277629585306948
absolute error = 2.75685412424223e-17
relative error = 1.5182610629090864267868200550277e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5827502171917929289603321204462
y[1] (analytic) = 1.8163546122789179568726650347438
y[1] (numeric) = 1.8163546122789179293038210961219
absolute error = 2.75688439386219e-17
relative error = 1.5178117616599225198655833786697e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5837434693989803234705639098041
y[1] (analytic) = 1.8169120510305221416132928834197
y[1] (numeric) = 1.8169120510305221140441466901484
absolute error = 2.75691461932713e-17
relative error = 1.5173627241689844678421269318481e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.584736721606167717980795699162
y[1] (analytic) = 1.8174694749930110822970480819047
y[1] (numeric) = 1.8174694749930110547276000747829
absolute error = 2.75694480071218e-17
relative error = 1.5169139502179433229603665881024e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5857299738133551124910274885199
y[1] (analytic) = 1.8180268841735762024365579845521
y[1] (numeric) = 1.818026884173576174866808603629
absolute error = 2.75697493809231e-17
relative error = 1.5164654395886742496982307471601e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5867232260205425070012592778778
y[1] (analytic) = 1.8185842785794036814172023687074
y[1] (numeric) = 1.8185842785794036538471520532839
absolute error = 2.75700503154235e-17
relative error = 1.5160171920632671706330307629102e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5877164782277299015114910672357
y[1] (analytic) = 1.8191416582176744595947018005039
y[1] (numeric) = 1.8191416582176744320243509891339
absolute error = 2.75703508113700e-17
relative error = 1.5155692074240318957038602087032e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5887097304349172960217228565936
y[1] (analytic) = 1.8196990230955642433865135751218
y[1] (numeric) = 1.8196990230955642158158627056137
absolute error = 2.75706508695081e-17
relative error = 1.5151214854534867558721478768294e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5897029826421046905319546459515
y[1] (analytic) = 1.8202563732202435103570442562064
y[1] (numeric) = 1.8202563732202434827860937656247
absolute error = 2.75709504905817e-17
relative error = 1.5146740259343527514635332412346e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5906962348492920850421864353094
y[1] (analytic) = 1.8208137085988775142966878238008
y[1] (numeric) = 1.8208137085988774867254381484675
absolute error = 2.75712496753333e-17
relative error = 1.5142268286495641874731494275909e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5916894870564794795524182246673
y[1] (analytic) = 1.8213710292386262902946984248375
y[1] (numeric) = 1.8213710292386262627231500003334
absolute error = 2.75715484245041e-17
relative error = 1.5137798933822737990412407627244e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5926827392636668740626500140252
y[1] (analytic) = 1.8219283351466446598059067049504
y[1] (numeric) = 1.8219283351466446322340599661166
absolute error = 2.75718467388338e-17
relative error = 1.5133332199158414015183885046839e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5936759914708542685728818033831
y[1] (analytic) = 1.8224856263300822357112886851198
y[1] (numeric) = 1.8224856263300822081391440660593
absolute error = 2.75721446190605e-17
relative error = 1.5128868080338280484337157750213e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=312.8MB, alloc=4.4MB, time=39.13
NO POLE
x[1] = 2.594669243678041663083113592741
y[1] (analytic) = 1.8230429027960834273723961314404
y[1] (numeric) = 1.8230429027960833997999540655193
absolute error = 2.75724420659211e-17
relative error = 1.5124406575200176269160033166190e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5956624958852290575933453820989
y[1] (analytic) = 1.8236001645517874456796573511078
y[1] (numeric) = 1.8236001645517874181069182709568
absolute error = 2.75727390801510e-17
relative error = 1.5119947681584000279772242520259e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5966557480924164521035771714568
y[1] (analytic) = 1.8241574116043283080945573325586
y[1] (numeric) = 1.8241574116043282805215216700744
absolute error = 2.75730356624842e-17
relative error = 1.5115491397331762756428403180117e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.741
Order of pole = 0.9169
x[1] = 2.5976490002996038466138089608147
y[1] (analytic) = 1.8247146439608348436857061325646
y[1] (numeric) = 1.8247146439608348161123743189116
absolute error = 2.75733318136530e-17
relative error = 1.5111037720287417255136714706886e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5986422525067912411240407501726
y[1] (analytic) = 1.8252718616284306981588043979782
y[1] (numeric) = 1.8252718616284306705851768635895
absolute error = 2.75736275343887e-17
relative error = 1.5106586648297240805277549858134e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.5996355047139786356342725395305
y[1] (analytic) = 1.8258290646142343388805148947492
y[1] (numeric) = 1.8258290646142343113065920693282
absolute error = 2.75739228254210e-17
relative error = 1.5102138179209501366449421880555e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6006287569211660301445043288884
y[1] (analytic) = 1.8263862529253590598962489017899
y[1] (numeric) = 1.8263862529253590323220312143118
absolute error = 2.75742176874781e-17
relative error = 1.5097692310874509165220292393332e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6016220091283534246547361182463
y[1] (analytic) = 1.8269434265689129869418763122483
y[1] (numeric) = 1.8269434265689129593673641909613
absolute error = 2.75745121212870e-17
relative error = 1.5093249041144777411046506088173e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6026152613355408191649679076042
y[1] (analytic) = 1.8275005855519990824493682697595
y[1] (numeric) = 1.8275005855519990548745621421866
absolute error = 2.75748061275729e-17
relative error = 1.5088808367874690242946664220003e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6036085135427282136751996969621
y[1] (analytic) = 1.8280577298817151505463811522918
y[1] (numeric) = 1.8280577298817151229712814452318
absolute error = 2.75750997070600e-17
relative error = 1.5084370288920937124194460800501e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.60460176574991560818543148632
y[1] (analytic) = 1.8286148595651538420497907012686
y[1] (numeric) = 1.8286148595651538144743978407974
absolute error = 2.75753928604712e-17
relative error = 1.5079934802142344895333098363842e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.07
Order of pole = 0.534
x[1] = 2.6055950179571030026956632756779
y[1] (analytic) = 1.8291719746094026594531850787506
y[1] (numeric) = 1.8291719746094026318774994902232
absolute error = 2.75756855885274e-17
relative error = 1.5075501905399491456596082163076e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6065882701642903972058950650358
y[1] (analytic) = 1.829729075021543961908325620592
y[1] (numeric) = 1.8297290750215439343323477286436
absolute error = 2.75759778919484e-17
relative error = 1.5071071596555194603116948716681e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.754
Order of pole = 1.17
x[1] = 2.6075815223714777917161268543937
y[1] (analytic) = 1.8302861608086549702005840386371
y[1] (numeric) = 1.8302861608086549426243142671841
absolute error = 2.75762697714530e-17
relative error = 1.5066643873474562877901352476685e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6085747745786651862263586437516
y[1] (analytic) = 1.8308432319778077717183648102122
y[1] (numeric) = 1.8308432319778077441418035824541
absolute error = 2.75765612277581e-17
relative error = 1.5062218734024500136215591557755e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6095680267858525807365904331095
y[1] (analytic) = 1.8314002885360693254165214783838
y[1] (numeric) = 1.8314002885360692978396692168042
absolute error = 2.75768522615796e-17
relative error = 1.5057796176074193869315603284483e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6105612789930399752468222224674
y[1] (analytic) = 1.8319573304905014667737755716925
y[1] (numeric) = 1.8319573304905014391966326980611
absolute error = 2.75771428736314e-17
relative error = 1.5053376197494565495819422455734e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 9.683
Order of pole = 3.275
x[1] = 2.6115545312002273697570540118253
y[1] (analytic) = 1.8325143578481609127441468373492
y[1] (numeric) = 1.8325143578481608851667137727225
absolute error = 2.75774330646267e-17
relative error = 1.5048958796158976762440036413107e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.207
Order of pole = 0.8042
x[1] = 2.6125477834074147642672858011832
y[1] (analytic) = 1.833071370616099266702403467174
y[1] (numeric) = 1.8330713706160992391246806318968
absolute error = 2.75777228352772e-17
relative error = 1.5044543969942789239158855904897e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.766
Order of pole = 0.7263
x[1] = 2.6135410356146021587775175905411
y[1] (analytic) = 1.8336283688013630233835409808914
y[1] (numeric) = 1.8336283688013629958055287945984
absolute error = 2.75780121862930e-17
relative error = 1.5040131716723306374697146198193e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.614534287821789553287749379899
y[1] (analytic) = 1.8341853524109935738162984167504
y[1] (numeric) = 1.8341853524109935462379972983679
absolute error = 2.75783011183825e-17
relative error = 1.5035722034379715658192550941031e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6155275400289769477979811692569
y[1] (analytic) = 1.8347423214520272102507204648243
y[1] (numeric) = 1.8347423214520271826721308325707
absolute error = 2.75785896322536e-17
relative error = 1.5031314920793739433208166954731e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 11.92
Order of pole = 4.697
x[1] = 2.6165207922361643423082129586148
y[1] (analytic) = 1.8352992759314951310797741637531
y[1] (numeric) = 1.8352992759314951035008964351407
absolute error = 2.75788777286124e-17
relative error = 1.5026910373848922351689797235351e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6175140444433517368184447479727
y[1] (analytic) = 1.8358562158564234457550287671412
y[1] (numeric) = 1.8358562158564234181758633589778
absolute error = 2.75791654081634e-17
relative error = 1.5022508391430737183046251578398e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6185072966505391313286765373306
y[1] (analytic) = 1.8364131412338331796964073712858
y[1] (numeric) = 1.8364131412338331521169546996758
absolute error = 2.75794526716100e-17
relative error = 1.5018108971426853793235907159676e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6195005488577265258389083266885
y[1] (analytic) = 1.8369700520707402791960188814114
y[1] (numeric) = 1.8369700520707402516162793617572
absolute error = 2.75797395196542e-17
relative error = 1.5013712111726972135443274915916e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6204938010649139203491401160464
y[1] (analytic) = 1.837526948374155616316078879111
y[1] (numeric) = 1.8375269483741555887360529261143
absolute error = 2.75800259529967e-17
relative error = 1.5009317810222873228976537121265e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6214870532721013148593719054043
y[1] (analytic) = 1.8380838301510849937809279392482
y[1] (numeric) = 1.8380838301510849662006159669114
absolute error = 2.75803119723368e-17
relative error = 1.5004926064808361237155949087360e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=316.6MB, alloc=4.4MB, time=39.60
NO POLE
x[1] = 2.6224803054792887093696036947622
y[1] (analytic) = 1.8386406974085291498631559301552
y[1] (numeric) = 1.8386406974085291222825583517828
absolute error = 2.75805975783724e-17
relative error = 1.5000536873379260039095853747552e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.165
Order of pole = 0.6379
x[1] = 2.6234735576864761038798354841201
y[1] (analytic) = 1.8391975501534837632638408165712
y[1] (numeric) = 1.8391975501534837356829580447712
absolute error = 2.75808827718000e-17
relative error = 1.4996150233833409808338055813730e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.624466809893663498390067273478
y[1] (analytic) = 1.8397543883929394579869104704016
y[1] (numeric) = 1.8397543883929394304057429170864
absolute error = 2.75811675533152e-17
relative error = 1.4991766144070935373728947946594e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6254600621008508929002990628359
y[1] (analytic) = 1.8403112121338818082076359800429
y[1] (numeric) = 1.8403112121338817806261840564312
absolute error = 2.75814519236117e-17
relative error = 1.4987384601993699014197932779457e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.021
Order of pole = 0.5306
x[1] = 2.6264533143080382874105308521938
y[1] (analytic) = 1.8408680213832913431352649347124
y[1] (numeric) = 1.8408680213832913155535290513304
absolute error = 2.75817358833820e-17
relative error = 1.4983005605505677724662112165490e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.55
Order of pole = 0.87
x[1] = 2.6274465665152256819207626415517
y[1] (analytic) = 1.8414248161481435518698031459378
y[1] (numeric) = 1.8414248161481435242877837126204
absolute error = 2.75820194333174e-17
relative error = 1.4978629152512959657651399232639e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.801
Order of pole = 0.5952
x[1] = 2.6284398187224130764309944309096
y[1] (analytic) = 1.8419815964354088882529532541112
y[1] (numeric) = 1.8419815964354088606706506800031
absolute error = 2.75823025741081e-17
relative error = 1.4974255240923794861375700626482e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6294330709296004709412262202675
y[1] (analytic) = 1.8425383622520527757132186537852
y[1] (numeric) = 1.8425383622520527481306333473428
absolute error = 2.75825853064424e-17
relative error = 1.4969883868648157469843059903125e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6304263231367878654514580096254
y[1] (analytic) = 1.8430951136050356121051811571937
y[1] (numeric) = 1.8430951136050355845223135261861
absolute error = 2.75828676310076e-17
relative error = 1.4965515033598231048631511143365e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.9354
Order of pole = 0.5256
x[1] = 2.6314195753439752599616897989833
y[1] (analytic) = 1.8436518505013127745429608013034
y[1] (numeric) = 1.8436518505013127469598112528136
absolute error = 2.75831495484898e-17
relative error = 1.4961148733688296419936776873315e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 22.85
Order of pole = 15.79
x[1] = 2.6324128275511626544719215883412
y[1] (analytic) = 1.8442085729478346242278661895641
y[1] (numeric) = 1.8442085729478345966444351299906
absolute error = 2.75834310595735e-17
relative error = 1.4956784966834511243830946127094e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6334060797583500489821533776991
y[1] (analytic) = 1.8447652809515465112702437454067
y[1] (numeric) = 1.8447652809515464836865315804645
absolute error = 2.75837121649422e-17
relative error = 1.4952423730955232073630064867212e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.634399331965537443492385167057
y[1] (analytic) = 1.8453219745193887795055342404483
y[1] (numeric) = 1.8453219745193887519215413751707
absolute error = 2.75839928652776e-17
relative error = 1.4948065023970577153724696014560e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6353925841727248380026169564149
y[1] (analytic) = 1.8458786536582967713045449463036
y[1] (numeric) = 1.845878653658296743720271785043
absolute error = 2.75842731612606e-17
relative error = 1.4943708843802965154508091963480e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.533
Order of pole = 0.5687
x[1] = 2.6363858363799122325128487457728
y[1] (analytic) = 1.846435318375200832377945744864
y[1] (numeric) = 1.8464353183752008047933926912933
absolute error = 2.75845530535707e-17
relative error = 1.4939355188376786398824314131331e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6373790885870996270230805351307
y[1] (analytic) = 1.8469919686770263165749975178993
y[1] (numeric) = 1.8469919686770262889901649750134
absolute error = 2.75848325428859e-17
relative error = 1.4935004055618345394013138585603e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6383723407942870215333123244886
y[1] (analytic) = 1.8475486045706935906765211228562
y[1] (numeric) = 1.8475486045706935630914094929734
absolute error = 2.75851116298828e-17
relative error = 1.4930655443455911719992942577119e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.191
Order of pole = 0.6402
x[1] = 2.6393655930014744160435441138465
y[1] (analytic) = 1.8481052260631180391821152477713
y[1] (numeric) = 1.8481052260631180115967249325342
absolute error = 2.75853903152371e-17
relative error = 1.4926309349819987263871136780902e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6403588452086618105537759032044
y[1] (analytic) = 1.8486618331612100690916314242895
y[1] (numeric) = 1.8486618331612100415059628246665
absolute error = 2.75856685996230e-17
relative error = 1.4921965772642977947394701384409e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6413520974158492050640076925623
y[1] (analytic) = 1.8492184258718751146809144638784
y[1] (numeric) = 1.8492184258718750870949679801651
absolute error = 2.75859464837133e-17
relative error = 1.4917624709859244586168682464229e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6423453496230365995742394819202
y[1] (analytic) = 1.8497750042020136422718165684547
y[1] (numeric) = 1.8497750042020136146855926002752
absolute error = 2.75862239681795e-17
relative error = 1.4913286159405153657648135290629e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6433386018302239940844712712781
y[1] (analytic) = 1.8503315681585211549964933527905
y[1] (numeric) = 1.8503315681585211274099922990985
absolute error = 2.75865010536920e-17
relative error = 1.4908950119219182022471049359503e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.644331854037411388594703060636
y[1] (analytic) = 1.8508881177482881975559900022457
y[1] (numeric) = 1.8508881177482881699692122613256
absolute error = 2.75867777409201e-17
relative error = 1.4904616587241913401224584991139e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6453251062445987831049348499939
y[1] (analytic) = 1.8514446529782003609731257755794
y[1] (numeric) = 1.8514446529782003333860717450481
absolute error = 2.75870540305313e-17
relative error = 1.4900285561415656775042795332620e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6463183584517861776151666393518
y[1] (analytic) = 1.8520011738551382873396850488254
y[1] (numeric) = 1.8520011738551382597523551256334
absolute error = 2.75873299231920e-17
relative error = 1.4895957039684821413878444072621e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6473116106589735721253984287097
y[1] (analytic) = 1.8525576803859776745579230824725
y[1] (numeric) = 1.852557680385977646970317662905
absolute error = 2.75876054195675e-17
relative error = 1.4891631019995913373411048224370e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6483048628661609666356302180676
y[1] (analytic) = 1.8531141725775892810763946804774
y[1] (numeric) = 1.8531141725775892534885141601556
absolute error = 2.75878805203218e-17
relative error = 1.4887307500297424072444033116051e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6492981150733483611458620074255
y[1] (analytic) = 1.8536706504368389306201138959473
y[1] (numeric) = 1.8536706504368389030319586698297
absolute error = 2.75881552261176e-17
relative error = 1.4882986478539826965637637569224e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
memory used=320.4MB, alloc=4.4MB, time=40.07
x[1] = 2.6502913672805357556560937967834
y[1] (analytic) = 1.8542271139705875169150529246671
y[1] (numeric) = 1.8542271139705874893266233870511
absolute error = 2.75884295376160e-17
relative error = 1.4878667952675412430348383795694e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6512846194877231501663255861413
y[1] (analytic) = 1.8547835631856910084069883140097
y[1] (numeric) = 1.8547835631856909808182848585324
absolute error = 2.75887034554773e-17
relative error = 1.4874351920658716012382766403402e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6522778716949105446765573754992
y[1] (analytic) = 1.8553399980890004529747026011546
y[1] (numeric) = 1.8553399980890004253857256207942
absolute error = 2.75889769803604e-17
relative error = 1.4870038380446191323035917173108e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6532711239020979391867891648571
y[1] (analytic) = 1.8558964186873619826375494809584
y[1] (numeric) = 1.8558964186873619550482993680355
absolute error = 2.75892501129229e-17
relative error = 1.4865727329996260701390375466739e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.763
Order of pole = 1.463
x[1] = 2.654264376109285333697020954215
y[1] (analytic) = 1.8564528249876168182573905902609
y[1] (numeric) = 1.8564528249876167906678677364399
absolute error = 2.75895228538210e-17
relative error = 1.4861418767269258053755350081068e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6552576283164727282072527435729
y[1] (analytic) = 1.857009216996601274234911981877
y[1] (numeric) = 1.8570092169966012466451167781672
absolute error = 2.75897952037098e-17
relative error = 1.4857112690227587196566452292138e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.997
Order of pole = 0.9626
x[1] = 2.6562508805236601227174845329308
y[1] (analytic) = 1.8575655947211467632003283480185
y[1] (numeric) = 1.8575655947211467356102611847751
absolute error = 2.75900671632434e-17
relative error = 1.4852809096835772247504542545540e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6572441327308475172277163222887
y[1] (analytic) = 1.8581219581680798006984830394077
y[1] (numeric) = 1.8581219581680797731081443063336
absolute error = 2.75903387330741e-17
relative error = 1.4848507985060023566656154473391e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6582373849380349117379481116466
y[1] (analytic) = 1.8586783073442220098683519128925
y[1] (numeric) = 1.8586783073442219822777419990392
absolute error = 2.75906099138533e-17
relative error = 1.4844209352868719106242273482913e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6592306371452223062481799010045
y[1] (analytic) = 1.8592346422563901261169590269384
y[1] (numeric) = 1.8592346422563900985260783207074
absolute error = 2.75908807062310e-17
relative error = 1.4839913198232131898680779269674e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6602238893524097007584116903624
y[1] (analytic) = 1.8597909629113960017877121909727
y[1] (numeric) = 1.8597909629113959741965610801164
absolute error = 2.75911511108563e-17
relative error = 1.4835619519122695729192297111630e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6612171415595970952686434797203
y[1] (analytic) = 1.8603472693160466108231663611751
y[1] (numeric) = 1.8603472693160465832317452327984
absolute error = 2.75914211283767e-17
relative error = 1.4831328313514625291450375404071e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6622103937667844897788752690782
y[1] (analytic) = 1.8609035614771440534222228619592
y[1] (numeric) = 1.8609035614771440258305321025208
absolute error = 2.75916907594384e-17
relative error = 1.4827039579384074398491063133744e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.5695
Order of pole = 0.5094
x[1] = 2.6632036459739718842891070584361
y[1] (analytic) = 1.8614598394014855606917723990588
y[1] (numeric) = 1.861459839401485533099812394372
absolute error = 2.75919600046868e-17
relative error = 1.4822753314709401353057108926071e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.664196898181159278799338847794
y[1] (analytic) = 1.8620161030958634992927898168325
y[1] (numeric) = 1.8620161030958634717005609520666
absolute error = 2.75922288647659e-17
relative error = 1.4818469517470843085341301355867e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.599
Order of pole = 1.404
x[1] = 2.6651901503883466733095706371519
y[1] (analytic) = 1.8625723525670653760808885391235
y[1] (numeric) = 1.8625723525670653484883911988054
absolute error = 2.75924973403181e-17
relative error = 1.4814188185650404631997403047550e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.562
Order of pole = 0.5704
x[1] = 2.6661834025955340678198024265098
y[1] (analytic) = 1.8631285878218738427413426197616
y[1] (numeric) = 1.8631285878218738151485771877768
absolute error = 2.75927654319848e-17
relative error = 1.4809909317232178198978799698868e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.215
Order of pole = 0.5425
x[1] = 2.6671766548027214623300342158677
y[1] (analytic) = 1.8636848088670667004185843155654
y[1] (numeric) = 1.863684808867066672825551175159
absolute error = 2.75930331404064e-17
relative error = 1.4805632910202339710729699341150e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6681699070099088568402660052256
y[1] (analytic) = 1.8642410157094169043401850815045
y[1] (numeric) = 1.8642410157094168767468846152824
absolute error = 2.75933004662221e-17
relative error = 1.4801358962549038083877050601907e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6691631592170962513504977945835
y[1] (analytic) = 1.8647972083556925684353278745046
y[1] (numeric) = 1.864797208355692540841760464435
absolute error = 2.75935674100696e-17
relative error = 1.4797087472262231074527023649176e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6701564114242836458607295839414
y[1] (analytic) = 1.8653533868126569699477786392299
y[1] (numeric) = 1.8653533868126569423539446666447
absolute error = 2.75938339725852e-17
relative error = 1.4792818437333735856380369766888e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 35.31
Order of pole = 36.34
x[1] = 2.6711496636314710403709613732993
y[1] (analytic) = 1.8659095510870685540433648360499
y[1] (numeric) = 1.8659095510870685264492646816454
absolute error = 2.75941001544045e-17
relative error = 1.4788551855757601067943655096208e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6721429158386584348811931626572
y[1] (analytic) = 1.8664657011856809384119688582964
y[1] (numeric) = 1.8664657011856809108176029021346
absolute error = 2.75943659561618e-17
relative error = 1.4784287725529781691590311979464e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6731361680458458293914249520151
y[1] (analytic) = 1.8670218371152429178640441728442
y[1] (numeric) = 1.8670218371152428902694127943544
absolute error = 2.75946313784898e-17
relative error = 1.4780026044647975198004178309819e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.674129420253033223901656741373
y[1] (analytic) = 1.8675779588824984689216620049968
y[1] (numeric) = 1.8675779588824984413267655829765
absolute error = 2.75948964220203e-17
relative error = 1.4775766811111993436822388086401e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.851
Order of pole = 0.5983
x[1] = 2.6751226724602206184118885307309
y[1] (analytic) = 1.868134066494186754404096375632
y[1] (numeric) = 1.8681340664941867268089352882481
absolute error = 2.75951610873839e-17
relative error = 1.4771510022923598570105946330816e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6761159246674080129221203200888
y[1] (analytic) = 1.8686901599570421280079552855619
y[1] (numeric) = 1.8686901599570421004125299103519
absolute error = 2.75954253752100e-17
relative error = 1.4767255678086499839595150075148e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6771091768745954074323521094467
y[1] (analytic) = 1.8692462392777941388818658290861
y[1] (numeric) = 1.8692462392777941112861765429594
absolute error = 2.75956892861267e-17
relative error = 1.4763003774606296842801088506396e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
memory used=324.2MB, alloc=4.4MB, time=40.53
x[1] = 2.6781024290817828019425838988046
y[1] (analytic) = 1.8698023044631675361957210057656
y[1] (numeric) = 1.8698023044631675085997681850047
absolute error = 2.75959528207609e-17
relative error = 1.4758754310490529874056740968377e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6790956812889701964528156881625
y[1] (analytic) = 1.8703583555198822737044959865169
y[1] (numeric) = 1.8703583555198822461082800067784
absolute error = 2.75962159797385e-17
relative error = 1.4754507283748783642017700524971e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6800889334961575909630474775204
y[1] (analytic) = 1.8709143924546535143066415772238
y[1] (numeric) = 1.8709143924546534867101628135397
absolute error = 2.75964787636841e-17
relative error = 1.4750262692392523553775513573839e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6810821857033449854732792668783
y[1] (analytic) = 1.8714704152741916345970626101873
y[1] (numeric) = 1.8714704152741916070003214369663
absolute error = 2.75967411732210e-17
relative error = 1.4746020534435092593147613923022e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6820754379105323799835110562362
y[1] (analytic) = 1.8720264239852022294146889808811
y[1] (numeric) = 1.8720264239852022018176857719097
absolute error = 2.75970032089714e-17
relative error = 1.4741780807891815041182412290649e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.339
Order of pole = 0.6564
x[1] = 2.6830686901177197744937428455941
y[1] (analytic) = 1.872582418594386116384647034649
y[1] (numeric) = 1.8725824185943860887873821630928
absolute error = 2.75972648715562e-17
relative error = 1.4737543510779886403685002867607e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 8.874
Order of pole = 2.75
x[1] = 2.684061942324907169003974634952
y[1] (analytic) = 1.873138399108439340455038995179
y[1] (numeric) = 1.8731383991084393128575128335834
absolute error = 2.75975261615956e-17
relative error = 1.4733308641118690626039833999010e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6850551945320945635142064243099
y[1] (analytic) = 1.8736943655340531784283381138054
y[1] (numeric) = 1.8736943655340531508305510340973
absolute error = 2.75977870797081e-17
relative error = 1.4729076196929262815879124787619e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6860484467392819580244382136678
y[1] (analytic) = 1.8742503178779141434874072059382
y[1] (numeric) = 1.8742503178779141158893595794271
absolute error = 2.75980476265111e-17
relative error = 1.4724846176234606597218557252954e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6870416989464693525346700030257
y[1] (analytic) = 1.8748062561467039897161482281842
y[1] (numeric) = 1.8748062561467039621178404255633
absolute error = 2.75983078026209e-17
relative error = 1.4720618577059690867414992531851e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6880349511536567470449017923836
y[1] (analytic) = 1.8753621803470997166147905370174
y[1] (numeric) = 1.8753621803470996890162229283645
absolute error = 2.75985676086529e-17
relative error = 1.4716393397431553206517011744799e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.487
Order of pole = 0.8467
x[1] = 2.6890282033608441415551335817415
y[1] (analytic) = 1.8759180904857735736098254571728
y[1] (numeric) = 1.8759180904857735460109984119518
absolute error = 2.75988270452210e-17
relative error = 1.4712170635378976645453863138625e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 39.69
Order of pole = 45.38
x[1] = 2.6900214555680315360653653710994
y[1] (analytic) = 1.8764739865693930645585947752801
y[1] (numeric) = 1.8764739865693930369595086623422
absolute error = 2.75990861129379e-17
relative error = 1.4707950288932646632282794064771e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 12.95
Order of pole = 5.276
x[1] = 2.6910147077752189305755971604573
y[1] (analytic) = 1.8770298686046209522485407616159
y[1] (numeric) = 1.8770298686046209246491959492006
absolute error = 2.75993448124153e-17
relative error = 1.4703732356125254444396443023569e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.504
Order of pole = 0.8495
x[1] = 2.6920079599824063250858289498152
y[1] (analytic) = 1.8775857365981152628911253102422
y[1] (numeric) = 1.8775857365981152352915221659784
absolute error = 2.75996031442638e-17
relative error = 1.4699516834991440637929181741022e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6930012121895937195960607391731
y[1] (analytic) = 1.878141590556529290610425775212
y[1] (numeric) = 1.8781415905565292630105646661192
absolute error = 2.75998611090928e-17
relative error = 1.4695303723567738598141633189453e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6949877166039685086165243178889
y[1] (analytic) = 1.8792532563947060402329335684524
y[1] (numeric) = 1.879253256394706012632557628329
absolute error = 2.76003759401234e-17
relative error = 1.4686884722005982725310467273411e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6959809688111559031267561072468
y[1] (analytic) = 1.8798090682877517302703603901633
y[1] (numeric) = 1.8798090682877517026697275826252
absolute error = 2.76006328075381e-17
relative error = 1.4682678827950591502441475702086e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6969742210183432976369878966047
y[1] (analytic) = 1.8803648661722830825929915264351
y[1] (numeric) = 1.880364866172283054992102216076
absolute error = 2.76008893103591e-17
relative error = 1.4678475335770417985138143955299e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6979674732255306921472196859626
y[1] (analytic) = 1.8809206500549297980311323933338
y[1] (numeric) = 1.8809206500549297704299869441439
absolute error = 2.76011454491899e-17
relative error = 1.4674274243511466089518697707626e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6989607254327180866574514753205
y[1] (analytic) = 1.8814764199423168721479122716473
y[1] (numeric) = 1.8814764199423168445465110470141
absolute error = 2.76014012246332e-17
relative error = 1.4670075549221826465146742958734e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.6999539776399054811676832646784
y[1] (analytic) = 1.8820321758410645996908281382602
y[1] (numeric) = 1.88203217584106457208917150097
absolute error = 2.76016566372902e-17
relative error = 1.4665879250951301158644974527916e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7009472298470928756779150540363
y[1] (analytic) = 1.882587917757788579038025364741
y[1] (numeric) = 1.8825879177577885514361136769799
absolute error = 2.76019116877611e-17
relative error = 1.4661685346751666363097355706548e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.843
Order of pole = 0.729
x[1] = 2.7019404820542802701881468433942
y[1] (analytic) = 1.8831436456990997166393227486008
y[1] (numeric) = 1.883143645699099689037156371956
absolute error = 2.76021663766448e-17
relative error = 1.4657493834676509881185952622434e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7029337342614676646983786327521
y[1] (analytic) = 1.8836993596716042314519893303326
y[1] (numeric) = 1.8836993596716042038495686257933
absolute error = 2.76024207045393e-17
relative error = 1.4653304712781440485769474324694e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.70392698646865505920861042211
y[1] (analytic) = 1.8842550596819036593712804370108
y[1] (numeric) = 1.8842550596819036317686057649692
absolute error = 2.76026746720416e-17
relative error = 1.4649117979124031553667547480158e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7049202386758424537188422114679
y[1] (analytic) = 1.8848107457365948576557403809275
y[1] (numeric) = 1.8848107457365948300528121011803
absolute error = 2.76029282797472e-17
relative error = 1.4644933631763552576804394742309e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7059134908830298482290740008258
y[1] (analytic) = 1.8853664178422700093472792294607
y[1] (numeric) = 1.8853664178422699817440977012102
absolute error = 2.76031815282505e-17
relative error = 1.4640751668761178509472372870702e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
memory used=328.0MB, alloc=4.4MB, time=41.00
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7069067430902172427393057901837
y[1] (analytic) = 1.8859220760055166276860310501104
y[1] (numeric) = 1.8859220760055166000825966319652
absolute error = 2.76034344181452e-17
relative error = 1.4636572088180198746021654722420e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7078999952974046372495375795416
y[1] (analytic) = 1.8864777202329175605200010224025
y[1] (numeric) = 1.886477720232917532916314072379
absolute error = 2.76036869500235e-17
relative error = 1.4632394888085589623662118358702e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7088932475045920317597693688995
y[1] (analytic) = 1.8870333505310509947095087961519
y[1] (numeric) = 1.8870333505310509671055696716754
absolute error = 2.76039391244765e-17
relative error = 1.4628220066544223599880782765745e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7098864997117794262700011582574
y[1] (analytic) = 1.8875889669064904605264354633841
y[1] (numeric) = 1.8875889669064904329222445212899
absolute error = 2.76041909420942e-17
relative error = 1.4624047621624866150395134196630e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.979
Order of pole = 0.6105
x[1] = 2.7108797519189668207802329476153
y[1] (analytic) = 1.8881445693658048360482814990502
y[1] (numeric) = 1.8881445693658048084438390955846
absolute error = 2.76044424034656e-17
relative error = 1.4619877551398225635160472130525e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7118730041261542152904647369732
y[1] (analytic) = 1.8887001579155583515470430135265
y[1] (numeric) = 1.8887001579155583239423495043477
absolute error = 2.76046935091788e-17
relative error = 1.4615709853937003076894203192312e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7128662563333416098006965263311
y[1] (analytic) = 1.8892557325623105938729136477696
y[1] (numeric) = 1.8892557325623105662679693879494
absolute error = 2.76049442598202e-17
relative error = 1.4611544527315465474234019303336e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.713859508540529004310928315689
y[1] (analytic) = 1.8898112933126165108328194299038
y[1] (numeric) = 1.8898112933126164832276247739282
absolute error = 2.76051946559756e-17
relative error = 1.4607381569610025259439954384478e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7148527607477163988211601050469
y[1] (analytic) = 1.8903668401730264155637938999377
y[1] (numeric) = 1.8903668401730263879583492017082
absolute error = 2.76054446982295e-17
relative error = 1.4603220978898866538695278620049e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7158460129549037933313918944048
y[1] (analytic) = 1.8909223731500859909012007972602
y[1] (numeric) = 1.8909223731500859632955064100949
absolute error = 2.76056943871653e-17
relative error = 1.4599062753262047949996862621872e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7168392651620911878416236837627
y[1] (analytic) = 1.8914778922503362937418115935348
y[1] (numeric) = 1.8914778922503362661358678701694
absolute error = 2.76059437233654e-17
relative error = 1.4594906890781552471592366432657e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7178325173692785823518554731206
y[1] (analytic) = 1.8920333974803137594017451416052
y[1] (numeric) = 1.8920333974803137317955524341945
absolute error = 2.76061927074107e-17
relative error = 1.4590753389541020024059224944507e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.443
Order of pole = 0.8332
x[1] = 2.7188257695764659768620872624785
y[1] (analytic) = 1.8925888888465502059692766990428
y[1] (numeric) = 1.8925888888465501783628353591613
absolute error = 2.76064413398815e-17
relative error = 1.4586602247626220271288049953475e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7198190217836533713723190518364
y[1] (analytic) = 1.8931443663555728386525235730032
y[1] (numeric) = 1.893144366355572811045833951646
absolute error = 2.76066896213572e-17
relative error = 1.4582453463124890723520426767119e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7208122739908407658825508411943
y[1] (analytic) = 1.8936998300139042541220146211215
y[1] (numeric) = 1.8936998300139042265150770687061
absolute error = 2.76069375524154e-17
relative error = 1.4578307034126258285785849823603e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.606
Order of pole = 0.5724
x[1] = 2.7218055261980281603927826305522
y[1] (analytic) = 1.894255279828062444848150831263
y[1] (numeric) = 1.8942552798280624172409656976301
absolute error = 2.76071851336329e-17
relative error = 1.4574162958721564681349192959570e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7227987784052155549030144199101
y[1] (analytic) = 1.8948107158045608034335641910464
y[1] (numeric) = 1.8948107158045607758261318254609
absolute error = 2.76074323655855e-17
relative error = 1.4570021235003957642872588811801e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.723792030612402949413246209268
y[1] (analytic) = 1.8953661379499081269403820461904
y[1] (numeric) = 1.8953661379499080993327027973421
absolute error = 2.76076792488483e-17
relative error = 1.4565881861068646096697356073873e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7247852828195903439234779986259
y[1] (analytic) = 1.895921546270608621212404134882
y[1] (numeric) = 1.8959215462706085936044783508876
absolute error = 2.76079257839944e-17
relative error = 1.4561744835012211158103742656813e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7257785350267777384337097879838
y[1] (analytic) = 1.8964769407731619051921994735433
y[1] (numeric) = 1.8964769407731618775840275019468
absolute error = 2.76081719715965e-17
relative error = 1.4557610154933447488987841625625e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.869
Order of pole = 0.5978
x[1] = 2.7267717872339651329439415773417
y[1] (analytic) = 1.8970323214640630152331302575618
y[1] (numeric) = 1.8970323214640629876247124453357
absolute error = 2.76084178122261e-17
relative error = 1.4553477818932938044136518776836e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7277650394411525274541733666996
y[1] (analytic) = 1.8975876883498024094063099287739
y[1] (numeric) = 1.8975876883498023817976466223201
absolute error = 2.76086633064538e-17
relative error = 1.4549347825113209248164633026826e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7287582916483399219644051560575
y[1] (analytic) = 1.8981430414368659718025025497264
y[1] (numeric) = 1.8981430414368659441935940948779
absolute error = 2.76089084548485e-17
relative error = 1.4545220171578306386795683173054e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7297515438555273164746369454154
y[1] (analytic) = 1.898698380731735016828970613007
y[1] (numeric) = 1.8986983807317349892198173550284
absolute error = 2.76091532579786e-17
relative error = 1.4541094856434423097003590109574e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.339
Order of pole = 0.6529
x[1] = 2.7307447960627147109848687347733
y[1] (analytic) = 1.8992537062408862935012784022142
y[1] (numeric) = 1.8992537062408862658918806858028
absolute error = 2.76093977164114e-17
relative error = 1.4536971877789582012602874720432e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7317380482699021054951005241312
y[1] (analytic) = 1.8998090179707919897300580094468
y[1] (numeric) = 1.8998090179707919621204161787338
absolute error = 2.76096418307130e-17
relative error = 1.4532851233753579154811135688557e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7327313004770895000053323134891
y[1] (analytic) = 1.9003643159279197366027451025195
y[1] (numeric) = 1.9003643159279197089928595010711
absolute error = 2.76098856014484e-17
relative error = 1.4528732922438033663792339055536e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.733724552684276894515564102847
y[1] (analytic) = 1.900919600118732612660291523462
y[1] (numeric) = 1.9009196001187325850501624942805
absolute error = 2.76101290291815e-17
relative error = 1.4524616941956384837418470823211e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=331.8MB, alloc=4.4MB, time=41.48
NO POLE
x[1] = 2.7347178048914642890257958922049
y[1] (analytic) = 1.9014748705496891481688617882293
y[1] (numeric) = 1.9014748705496891205584896737541
absolute error = 2.76103721144752e-17
relative error = 1.4520503290423941766479253412364e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7357110570986516835360276815628
y[1] (analytic) = 1.9020301272272433293865205459464
y[1] (numeric) = 1.9020301272272433017759056880547
absolute error = 2.76106148578917e-17
relative error = 1.4516391965958038034260830094061e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7367043093058390780462594709207
y[1] (analytic) = 1.9025853701578446028249180444232
y[1] (numeric) = 1.9025853701578445752140607844316
absolute error = 2.76108572599916e-17
relative error = 1.4512282966677555425038277213608e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7376975615130264725564912602786
y[1] (analytic) = 1.9031405993479378795059806371172
y[1] (numeric) = 1.9031405993479378518948813157826
absolute error = 2.76110993213346e-17
relative error = 1.4508176290703289182426691460941e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.788
Order of pole = 0.8996
x[1] = 2.7386908137202138670667230496365
y[1] (analytic) = 1.903695814803963539213613355175
y[1] (numeric) = 1.9036958148039635116022723126955
absolute error = 2.76113410424795e-17
relative error = 1.4504071936157944923231108741919e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7396840659274012615769548389944
y[1] (analytic) = 1.9042510165323574347404215566673
y[1] (numeric) = 1.9042510165323574071288391326833
absolute error = 2.76115824239840e-17
relative error = 1.4499969901166030529035006219866e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7406773181345886560871866283523
y[1] (analytic) = 1.9048062045395508961294586536334
y[1] (numeric) = 1.9048062045395508685176351872286
absolute error = 2.76118234664048e-17
relative error = 1.4495870183853905723694988866403e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7416705703417760505974184177102
y[1] (analytic) = 1.9053613788319707349110069060748
y[1] (numeric) = 1.9053613788319707072989427357774
absolute error = 2.76120641702974e-17
relative error = 1.4491772782349674114211637125223e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7426638225489634451076502070681
y[1] (analytic) = 1.905916539416039248334398260582
y[1] (numeric) = 1.9059165394160392207220937243658
absolute error = 2.76123045362162e-17
relative error = 1.4487677694783232825365264366027e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.743657074756150839617881996426
y[1] (analytic) = 1.9064716862981742235948821998463
y[1] (numeric) = 1.9064716862981741959823376351312
absolute error = 2.76125445647151e-17
relative error = 1.4483584919286584312703597188272e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7446503269633382341281137857839
y[1] (analytic) = 1.9070268194847889420555475578932
y[1] (numeric) = 1.9070268194847889144427633015468
absolute error = 2.76127842563464e-17
relative error = 1.4479494453993256191406210684961e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.159
Order of pole = 1.553
x[1] = 2.7456435791705256286383455751418
y[1] (analytic) = 1.9075819389822921834643052444888
y[1] (numeric) = 1.9075819389822921558512816328276
absolute error = 2.76130236116612e-17
relative error = 1.4475406297038508414493642618376e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7466368313777130231485773644997
y[1] (analytic) = 1.9081370447970882301659388107964
y[1] (numeric) = 1.9081370447970882025526761795861
absolute error = 2.76132626312103e-17
relative error = 1.4471320446559802125558170353844e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7476300835849004176588091538576
y[1] (analytic) = 1.9086921369355768713092297770122
y[1] (numeric) = 1.9086921369355768436957284614691
absolute error = 2.76135013155431e-17
relative error = 1.4467236900696219855938670072075e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7486233357920878121690409432155
y[1] (analytic) = 1.9092472154041534070491646313865
y[1] (numeric) = 1.9092472154041533794354249661786
absolute error = 2.76137396652079e-17
relative error = 1.4463155657588620007128389658591e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7496165879992752066792727325734
y[1] (analytic) = 1.9098022802092086527442303987269
y[1] (numeric) = 1.9098022802092086251302527179751
absolute error = 2.76139776807518e-17
relative error = 1.4459076715379581618496112399740e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7506098402064626011895045219313
y[1] (analytic) = 1.9103573313571289431488056651971
y[1] (numeric) = 1.9103573313571289155345903024758
absolute error = 2.76142153627213e-17
relative error = 1.4455000072213715655374636378289e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.39
Order of pole = 0.8181
x[1] = 2.7516030924136499956997363112892
y[1] (analytic) = 1.9109123688542961366006539349606
y[1] (numeric) = 1.9109123688542961089862012232987
absolute error = 2.76144527116619e-17
relative error = 1.4450925726237452444900573879456e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7525963446208373902099681006471
y[1] (analytic) = 1.9114673927070876192035261829766
y[1] (numeric) = 1.9114673927070875915888364548591
absolute error = 2.76146897281175e-17
relative error = 1.4446853675598724851037995766672e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.753589596828024784720199890005
y[1] (analytic) = 1.9120224029218763090048794570358
y[1] (numeric) = 1.9120224029218762813899530444043
absolute error = 2.76149264126315e-17
relative error = 1.4442783918447541112808860722329e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.507
Order of pole = 0.6737
x[1] = 2.7545828490352121792304316793629
y[1] (analytic) = 1.912577399505030660168718370918
y[1] (numeric) = 1.912577399505030632553555605172
absolute error = 2.76151627657460e-17
relative error = 1.4438716452935563261764245510857e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7555761012423995737406634687208
y[1] (analytic) = 1.913132382462914667143566319381
y[1] (numeric) = 1.9131323824629146395281675313785
absolute error = 2.76153987880025e-17
relative error = 1.4434651277216470328227334973663e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.673
Order of pole = 1.388
x[1] = 2.7565693534495869682508952580787
y[1] (analytic) = 1.9136873518018878688255732345244
y[1] (numeric) = 1.9136873518018878412099387545833
absolute error = 2.76156344799411e-17
relative error = 1.4430588389445537088930916505220e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7575626056567743627611270474366
y[1] (analytic) = 1.9142423075283053527167666919401
y[1] (numeric) = 1.9142423075283053251008968498392
absolute error = 2.76158698421009e-17
relative error = 1.4426527787779840427797386209195e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7585558578639617572713588367945
y[1] (analytic) = 1.9147972496485177590784531639407
y[1] (numeric) = 1.9147972496485177314623482889205
absolute error = 2.76161048750202e-17
relative error = 1.4422469470378360888637781906808e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7595491100711491517815906261524
y[1] (analytic) = 1.9153521781688712850797762060605
y[1] (numeric) = 1.9153521781688712574634366268243
absolute error = 2.76163395792362e-17
relative error = 1.4418413435401823003201337804738e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 8.059
Order of pole = 2.29
x[1] = 2.7605423622783365462918224155103
y[1] (analytic) = 1.9159070930957076889414383519507
y[1] (numeric) = 1.9159070930957076613248643966655
absolute error = 2.76165739552852e-17
relative error = 1.4414359681012796870187074718776e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7615356144855239408020542048682
y[1] (analytic) = 1.9164619944353642940745934807324
y[1] (numeric) = 1.9164619944353642664577854770302
absolute error = 2.76168080037022e-17
relative error = 1.4410308205375486481350685880429e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=335.7MB, alloc=4.4MB, time=41.96
NO POLE
x[1] = 2.7625288666927113353122859942261
y[1] (analytic) = 1.9170168821941739932149164098399
y[1] (numeric) = 1.9170168821941739655978746848185
absolute error = 2.76170417250214e-17
relative error = 1.4406259006655987895149507498236e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.001
Order of pole = 0.9404
x[1] = 2.763522118899898729822517783584
y[1] (analytic) = 1.9175717563784652525518564553688
y[1] (numeric) = 1.9175717563784652249345813355925
absolute error = 2.76172751197763e-17
relative error = 1.4402212083022338365466388356253e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7645153711070861243327495729419
y[1] (analytic) = 1.9181266169945621158530816909534
y[1] (numeric) = 1.9181266169945620882355735024547
absolute error = 2.76175081884987e-17
relative error = 1.4398167432643991909334236747038e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7655086233142735188429813622998
y[1] (analytic) = 1.9186814640487842085841206252258
y[1] (numeric) = 1.9186814640487841809663796935056
absolute error = 2.76177409317202e-17
relative error = 1.4394125053692598763227924616013e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7665018755214609133532131516577
y[1] (analytic) = 1.9192362975474467420232080069511
y[1] (numeric) = 1.9192362975474467144052346569804
absolute error = 2.76179733499707e-17
relative error = 1.4390084944341220366041869612938e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.336
Order of pole = 1.603
x[1] = 2.7674951277286483078634449410156
y[1] (analytic) = 1.9197911174968605173713414560095
y[1] (numeric) = 1.9197911174968604897531360122297
absolute error = 2.76182054437798e-17
relative error = 1.4386047102765056284814378754848e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7684883799358357023736767303735
y[1] (analytic) = 1.9203459239033319298575556074755
y[1] (numeric) = 1.9203459239033319022391183938
absolute error = 2.76184372136755e-17
relative error = 1.4382011527140763884108979501896e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.232
Order of pole = 0.7867
x[1] = 2.7694816321430230968839085197314
y[1] (analytic) = 1.9209007167731629728394204451616
y[1] (numeric) = 1.9209007167731629452207517849766
absolute error = 2.76186686601850e-17
relative error = 1.4377978215646872411999266675859e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.048
Order of pole = 0.9494
x[1] = 2.7704748843502104913941403090893
y[1] (analytic) = 1.921455496112651241898770490116
y[1] (numeric) = 1.9214554961126512142798707062812
absolute error = 2.76188997838348e-17
relative error = 1.4373947166463832061978986473959e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7714681365573978859043720984472
y[1] (analytic) = 1.9220102619280899389326714987164
y[1] (numeric) = 1.9220102619280899113135409135662
absolute error = 2.76191305851502e-17
relative error = 1.4369918377773750777236087686681e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7724613887645852804146038878051
y[1] (analytic) = 1.9225650142257678762396313141717
y[1] (numeric) = 1.9225650142257678486202702495161
absolute error = 2.76193610646556e-17
relative error = 1.4365891847760547621846440332702e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.773454640971772674924835677163
y[1] (analytic) = 1.9231197530119694806010615044298
y[1] (numeric) = 1.9231197530119694529814702815556
absolute error = 2.76195912228742e-17
relative error = 1.4361867574609793893927464554188e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7744478931789600694350674665209
y[1] (analytic) = 1.9236744782929747973579964087042
y[1] (numeric) = 1.9236744782929747697381753483759
absolute error = 2.76198210603283e-17
relative error = 1.4357845556508866417254825006180e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.264
Order of pole = 0.6403
x[1] = 2.7754411453861474639452992558788
y[1] (analytic) = 1.9242291900750594944830762040565
y[1] (numeric) = 1.9242291900750594668630256265168
absolute error = 2.76200505775397e-17
relative error = 1.4353825791647152537053459638512e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7764343975933348584555310452367
y[1] (analytic) = 1.9247838883644948666478005927239
y[1] (numeric) = 1.9247838883644948390275208176952
absolute error = 2.76202797750287e-17
relative error = 1.4349808278215527407412673806844e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7774276498005222529657628345946
y[1] (analytic) = 1.9253385731675478392850597001528
y[1] (numeric) = 1.9253385731675478116645510468382
absolute error = 2.76205086533146e-17
relative error = 1.4345793014406611266498252907461e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7784209020077096474759946239525
y[1] (analytic) = 1.925893244490480972646948762985
y[1] (numeric) = 1.9258932444904809450262115500689
absolute error = 2.76207372129161e-17
relative error = 1.4341779998414974343660384165919e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.76
Order of pole = 0.5846
x[1] = 2.7794141542148970419862264133104
y[1] (analytic) = 1.9264479023395524658578731755541
y[1] (numeric) = 1.9264479023395524382369077212034
absolute error = 2.76209654543507e-17
relative error = 1.4337769228436822322944470296460e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7804074064220844364964582026683
y[1] (analytic) = 1.9270025467210161609629504527804
y[1] (numeric) = 1.9270025467210161333417570746453
absolute error = 2.76211933781351e-17
relative error = 1.4333760702670201290953109285662e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7814006586292718310066899920262
y[1] (analytic) = 1.9275571776411215469717156566996
y[1] (numeric) = 1.9275571776411215193502946719148
absolute error = 2.76214209847848e-17
relative error = 1.4329754419314787298246834096781e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7823939108364592255169217813841
y[1] (analytic) = 1.9281117951061137638971368232309
y[1] (numeric) = 1.9281117951061137362754885484164
absolute error = 2.76216482748145e-17
relative error = 1.4325750376572091198109760113237e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.247
Order of pole = 0.6377
x[1] = 2.783387163043646620027153570742
y[1] (analytic) = 1.9286663991222336067899469151783
y[1] (numeric) = 1.9286663991222335791680716664402
absolute error = 2.76218752487381e-17
relative error = 1.4321748572645455735150582607863e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7843804152508340145373853600999
y[1] (analytic) = 1.9292209896957175297682988168654
y[1] (numeric) = 1.9292209896957175021461969097972
absolute error = 2.76221019070682e-17
relative error = 1.4317749005739793467426449635515e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7853736674580214090476171494578
y[1] (analytic) = 1.9297755668327976500427498752368
y[1] (numeric) = 1.9297755668327976224204216249201
absolute error = 2.76223282503167e-17
relative error = 1.4313751674061895155400561570692e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7863669196652088035578489388157
y[1] (analytic) = 1.9303301305397017519365824817
y[1] (numeric) = 1.9303301305397017243140282027056
absolute error = 2.76225542789944e-17
relative error = 1.4309756575820219573655929987783e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7873601718723961980680807281736
y[1] (analytic) = 1.9308846808226532909014671784551
y[1] (numeric) = 1.9308846808226532632786871848436
absolute error = 2.76227799936115e-17
relative error = 1.4305763709225149792864455647116e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 12.36
Order of pole = 4.656
x[1] = 2.7883534240795835925783125175315
y[1] (analytic) = 1.9314392176878713975284747625408
y[1] (numeric) = 1.931439217687871369905469367864
absolute error = 2.76230053946768e-17
relative error = 1.4301773072488575947504008285886e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7893466762867709870885443068894
y[1] (analytic) = 1.9319937411415708815544438503364
y[1] (numeric) = 1.9319937411415708539312133676381
absolute error = 2.76232304826983e-17
relative error = 1.4297784663824203362606442274463e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.289
Order of pole = 0.6423
memory used=339.5MB, alloc=4.4MB, time=42.44
x[1] = 2.7903399284939583815987760962473
y[1] (analytic) = 1.932548251189962235863710354781
y[1] (numeric) = 1.9325482511899622082402550965979
absolute error = 2.76234552581831e-17
relative error = 1.4293798481447497934414536643640e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7913331807011457761090078856052
y[1] (analytic) = 1.9331027478392516404852053171176
y[1] (numeric) = 1.93310274783925161286152559548
absolute error = 2.76236797216376e-17
relative error = 1.4289814523575786796427178363192e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7923264329083331706192396749631
y[1] (analytic) = 1.9336572310956409665849275245334
y[1] (numeric) = 1.9336572310956409389610236509665
absolute error = 2.76239038735669e-17
relative error = 1.4285832788427945088911210914334e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.793319685115520565129471464321
y[1] (analytic) = 1.9342117009653277804537973346537
y[1] (numeric) = 1.9342117009653277528296696201786
absolute error = 2.76241277144751e-17
relative error = 1.4281853274224548573471051981699e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7943129373227079596397032536789
y[1] (analytic) = 1.9347661574545053474908981174462
y[1] (numeric) = 1.9347661574545053198665468725804
absolute error = 2.76243512448658e-17
relative error = 1.4277875979188129357302559044537e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7953061895298953541499350430368
y[1] (analytic) = 1.9353206005693626361821117147155
y[1] (numeric) = 1.9353206005693626085575372494741
absolute error = 2.76245744652414e-17
relative error = 1.4273900901542811126019825356884e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.169
Order of pole = 0.6275
x[1] = 2.7962994417370827486601668323947
y[1] (analytic) = 1.9358750303160843220741543070107
y[1] (numeric) = 1.9358750303160842944493569309073
absolute error = 2.76247973761034e-17
relative error = 1.4269928039514461566035647240019e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7972926939442701431703986217526
y[1] (analytic) = 1.9364294467008507917440190674285
y[1] (numeric) = 1.9364294467008507641189990894763
absolute error = 2.76250199779522e-17
relative error = 1.4265957391330586318350954120958e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.286
Order of pole = 1.937
x[1] = 2.7982859461514575376806304111105
y[1] (analytic) = 1.9369838497298381467638319714723
y[1] (numeric) = 1.9369838497298381191385897001846
absolute error = 2.76252422712877e-17
relative error = 1.4261988955220636128161918796928e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.7992791983586449321908622004684
y[1] (analytic) = 1.9375382394092182076611271218283
y[1] (numeric) = 1.9375382394092181800356628652197
absolute error = 2.76254642566086e-17
relative error = 1.4258022729415642513095670099431e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8002724505658323267010939898263
y[1] (analytic) = 1.9380926157451585178745479366364
y[1] (numeric) = 1.9380926157451584902488620022238
absolute error = 2.76256859344126e-17
relative error = 1.4254058712148318431293734390650e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8012657027730197212113257791842
y[1] (analytic) = 1.9386469787438223477049805395714
y[1] (numeric) = 1.9386469787438223200790732343748
absolute error = 2.76259073051966e-17
relative error = 1.4250096901653158777208213436630e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8022589549802071157215575685421
y[1] (analytic) = 1.9392013284113686982621256798038
y[1] (numeric) = 1.9392013284113686706359973103472
absolute error = 2.76261283694566e-17
relative error = 1.4246137296166386002605148265145e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.415
Order of pole = 1.292
x[1] = 2.8032522071873945102317893579
y[1] (analytic) = 1.9397556647539523054065154996855
y[1] (numeric) = 1.9397556647539522777801663719978
absolute error = 2.76263491276877e-17
relative error = 1.4242179893925947384144464905259e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 13.2
Order of pole = 5.208
x[1] = 2.8042454593945819047420211472579
y[1] (analytic) = 1.9403099877777236436869814577991
y[1] (numeric) = 1.9403099877777236160604118774151
absolute error = 2.76265695803840e-17
relative error = 1.4238224693171460757931324279435e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8052387116017692992522529366158
y[1] (analytic) = 1.9408642974888289302735797048206
y[1] (numeric) = 1.940864297488828902646789976782
absolute error = 2.76267897280386e-17
relative error = 1.4234271692144211870937233102992e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 12.31
Order of pole = 4.587
x[1] = 2.8062319638089566937624847259737
y[1] (analytic) = 1.9414185938934101288859801994788
y[1] (numeric) = 1.9414185938934101012589706283347
absolute error = 2.76270095711441e-17
relative error = 1.4230320889087409281029565853697e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8072252160161440882727165153316
y[1] (analytic) = 1.9419728769976049537173258417402
y[1] (numeric) = 1.9419728769976049260900967315484
absolute error = 2.76272291101918e-17
relative error = 1.4226372282245769398585957393363e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8082184682233314827829483046895
y[1] (analytic) = 1.9425271468075468733535678902226
y[1] (numeric) = 1.9425271468075468457261195445504
absolute error = 2.76274483456722e-17
relative error = 1.4222425869865771470298412092704e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8092117204305188772931800940474
y[1] (analytic) = 1.9430814033293651146882839207222
y[1] (numeric) = 1.9430814033293650870606166426474
absolute error = 2.76276672780748e-17
relative error = 1.4218481650195551874462606669115e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8102049726377062718034118834053
y[1] (analytic) = 1.9436356465691846668329845726494
y[1] (numeric) = 1.9436356465691846392050986647611
absolute error = 2.76278859078883e-17
relative error = 1.4214539621485004397455262114500e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8111982248448936663136436727632
y[1] (analytic) = 1.9441898765331262850229153200895
y[1] (numeric) = 1.9441898765331262573948110844887
absolute error = 2.76281042356008e-17
relative error = 1.4210599781985880339129189689124e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 21.69
Order of pole = 13.15
x[1] = 2.8121914770520810608238754621211
y[1] (analytic) = 1.9447440932273064945183594941493
y[1] (numeric) = 1.9447440932273064668900372324503
absolute error = 2.76283222616990e-17
relative error = 1.4206662129951374241008697351299e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.813184729259268455334107251479
y[1] (analytic) = 1.9452982966578375945014487732133
y[1] (numeric) = 1.9452982966578375668729087865445
absolute error = 2.76285399866688e-17
relative error = 1.4202726663636430007047013694423e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.892
Order of pole = 1.143
x[1] = 2.8141779814664558498443390408369
y[1] (analytic) = 1.9458524868308276619684873477106
y[1] (numeric) = 1.9458524868308276343397299367152
absolute error = 2.76287574109954e-17
relative error = 1.4198793381297789544897045512935e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8151712336736432443545708301948
y[1] (analytic) = 1.9464066637523805556177959559938
y[1] (numeric) = 1.9464066637523805279888214208307
absolute error = 2.76289745351631e-17
relative error = 1.4194862281193887194352071829552e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8161644858808306388648026195527
y[1] (analytic) = 1.9469608274285959197330819779476
y[1] (numeric) = 1.9469608274285958921038906182925
absolute error = 2.76291913596551e-17
relative error = 1.4190933361584744336523166065259e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8171577380880180333750344089106
y[1] (analytic) = 1.9475149778655691880623417629817
y[1] (numeric) = 1.9475149778655691604329338780278
absolute error = 2.76294078849539e-17
relative error = 1.4187006620732172268299730092439e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
memory used=343.3MB, alloc=4.4MB, time=42.91
x[1] = 2.8181509902952054278852661982685
y[1] (analytic) = 1.9480691150693915876923013591134
y[1] (numeric) = 1.9480691150693915600626772475724
absolute error = 2.76296241115410e-17
relative error = 1.4183082056899615400812688518620e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8191442425023928223954979876264
y[1] (analytic) = 1.9486232390461501429184017999195
y[1] (numeric) = 1.9486232390461501152885617600223
absolute error = 2.76298400398972e-17
relative error = 1.4179159668352302635575158798863e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8201374947095802169057297769843
y[1] (analytic) = 1.9491773498019276791103350962263
y[1] (numeric) = 1.9491773498019276514802794257241
absolute error = 2.76300556705022e-17
relative error = 1.4175239453357039356984716458977e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8211307469167676114159615663422
y[1] (analytic) = 1.949731447342802826573137069516
y[1] (numeric) = 1.9497314473428027989428660656812
absolute error = 2.76302710038348e-17
relative error = 1.4171321410182307514637471087873e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.944
Order of pole = 1.154
x[1] = 2.8221239991239550059261933557001
y[1] (analytic) = 1.9502855316748500244038431541536
y[1] (numeric) = 1.9502855316748499967733571137805
absolute error = 2.76304860403731e-17
relative error = 1.4167405537098365535456574840252e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.823117251331142400436425145058
y[1] (analytic) = 1.9508396028041395243437132856822
y[1] (numeric) = 1.9508396028041394967130125050878
absolute error = 2.76307007805944e-17
relative error = 1.4163491832377194286045734519554e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.4465
Order of pole = 0.5053
x[1] = 2.8241105035383297949466569344159
y[1] (analytic) = 1.9513936607367373946260319826
y[1] (numeric) = 1.9513936607367373669951167576253
absolute error = 2.76309152249747e-17
relative error = 1.4159580294292238145831135512449e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 37.82
Order of pole = 38.74
x[1] = 2.8251037557455171894568887237738
y[1] (analytic) = 1.9519477054787055238194897192119
y[1] (numeric) = 1.9519477054787054961883603452224
absolute error = 2.76311293739895e-17
relative error = 1.4155670921118812523048357137012e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8260970079527045839671205131317
y[1] (analytic) = 1.9525017370361016246671516773464
y[1] (numeric) = 1.952501737036101597035808449233
absolute error = 2.76313432281134e-17
relative error = 1.4151763711133896081200990282514e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8270902601598919784773523024896
y[1] (analytic) = 1.953055755414979237921019954948
y[1] (numeric) = 1.9530557554149792102894631671281
absolute error = 2.76315567878199e-17
relative error = 1.4147858662616025723225346976001e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8280835123670793729875840918475
y[1] (analytic) = 1.9536097606213877361721952997888
y[1] (numeric) = 1.9536097606213877085404252462069
absolute error = 2.76317700535819e-17
relative error = 1.4143955773845550065828122667776e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8290767645742667674978158812054
y[1] (analytic) = 1.9541637526613723276766444267952
y[1] (numeric) = 1.9541637526613723000446614009241
absolute error = 2.76319830258711e-17
relative error = 1.4140055043104319582459546826403e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8300700167814541620080476705633
y[1] (analytic) = 1.9547177315409740601765789677594
y[1] (numeric) = 1.9547177315409740325443832626006
absolute error = 2.76321957051588e-17
relative error = 1.4136156468676093489556054455563e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8310632689886415565182794599212
y[1] (analytic) = 1.9552716972662298247174520924894
y[1] (numeric) = 1.9552716972662297970850440005742
absolute error = 2.76324080919152e-17
relative error = 1.4132260048846178784704328932669e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8320565211958289510285112492791
y[1] (analytic) = 1.9558256498431723594605788307621
y[1] (numeric) = 1.9558256498431723318279586441526
absolute error = 2.76326201866095e-17
relative error = 1.4128365781901478933080514228392e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 114.8
Order of pole = 351.5
x[1] = 2.833049773403016345538743038637
y[1] (analytic) = 1.956379589277830253491386114766
y[1] (numeric) = 1.956379589277830225858554125056
absolute error = 2.76328319897100e-17
relative error = 1.4124473666130542471585018982826e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8340430256102037400489748279949
y[1] (analytic) = 1.9569335155762279506232985520626
y[1] (numeric) = 1.9569335155762279229902550503782
absolute error = 2.76330435016844e-17
relative error = 1.4120583699823713731555068543399e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8350362778173911345592066173528
y[1] (analytic) = 1.9574874287443857531972659294548
y[1] (numeric) = 1.9574874287443857255640112064551
absolute error = 2.76332547229997e-17
relative error = 1.4116695881273078962406392213156e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.204
Order of pole = 0.7732
x[1] = 2.8360295300245785290694384067107
y[1] (analytic) = 1.9580413287883198258769384385277
y[1] (numeric) = 1.9580413287883197982434727844062
absolute error = 2.76334656541215e-17
relative error = 1.4112810208772106118480505377811e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8370227822317659235796701960686
y[1] (analytic) = 1.9585952157140421994394956040251
y[1] (numeric) = 1.9585952157140421718058193085102
absolute error = 2.76336762955149e-17
relative error = 1.4108926680616102169555385377779e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8380160344389533180899019854265
y[1] (analytic) = 1.9591490895275607745621348866327
y[1] (numeric) = 1.9591490895275607469282482389887
absolute error = 2.76338866476440e-17
relative error = 1.4105045295101955040075061971067e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8390092866461407126001337747844
y[1] (analytic) = 1.9597029502348793256042259221734
y[1] (numeric) = 1.9597029502348792979701292112009
absolute error = 2.76340967109725e-17
relative error = 1.4101166050528437295978288288036e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8400025388533281071103655641423
y[1] (analytic) = 1.9602567978419975043851363496644
y[1] (numeric) = 1.9602567978419974767508298637019
absolute error = 2.76343064859625e-17
relative error = 1.4097288945195591070076081018009e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8419890432677028961308291428581
y[1] (analytic) = 1.9613644537796107623775795767437
y[1] (numeric) = 1.9613644537796107347428544039709
absolute error = 2.76347251727728e-17
relative error = 1.4089541145461170487541583406365e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.842982295474890290641060932216
y[1] (analytic) = 1.9619182621220845664677911586692
y[1] (numeric) = 1.961918262122084538832857073155
absolute error = 2.76349340855142e-17
relative error = 1.4085670447668505891092119640543e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8439755476820776851512927215739
y[1] (analytic) = 1.9624720573883154555796274289002
y[1] (numeric) = 1.9624720573883154279444847171417
absolute error = 2.76351427117585e-17
relative error = 1.4081801882333919359688212377217e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.847
Order of pole = 0.5904
x[1] = 2.8449687998892650796615245109318
y[1] (analytic) = 1.9630258395842825253487545451688
y[1] (numeric) = 1.9630258395842824977134034932045
absolute error = 2.76353510519643e-17
relative error = 1.4077935447766058837334793512732e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8459620520964524741717563002897
y[1] (analytic) = 1.9635796087159607714472271409522
y[1] (numeric) = 1.9635796087159607438116680343634
absolute error = 2.76355591065888e-17
relative error = 1.4074071142274928925404528133641e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=347.1MB, alloc=4.4MB, time=43.38
NO POLE
x[1] = 2.8469553043036398686819880896476
y[1] (analytic) = 1.9641333647893210933311811454776
y[1] (numeric) = 1.9641333647893210656954142693887
absolute error = 2.76357668760889e-17
relative error = 1.4070208964172448769115871999011e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8479485565108272631922198790055
y[1] (analytic) = 1.9646871078103302979842454704062
y[1] (numeric) = 1.9646871078103302703482711094861
absolute error = 2.76359743609201e-17
relative error = 1.4066348911771889229776229199136e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8489418087180146577024516683634
y[1] (analytic) = 1.9652408377849511036566784304628
y[1] (numeric) = 1.9652408377849510760204968689255
absolute error = 2.76361815615373e-17
relative error = 1.4062490983388277811584719347636e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.327
Order of pole = 0.6432
x[1] = 2.8499350609252020522126834577213
y[1] (analytic) = 1.9657945547191421436002347558919
y[1] (numeric) = 1.9657945547191421159638462774971
absolute error = 2.76363884783948e-17
relative error = 1.4058635177338395944337934843299e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.974
Order of pole = 0.603
x[1] = 2.8509283131323894467229152470792
y[1] (analytic) = 1.9663482586188579697987690452641
y[1] (numeric) = 1.9663482586188579421621739333183
absolute error = 2.76365951119458e-17
relative error = 1.4054781491940521992687815271578e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8519215653395768412331470364371
y[1] (analytic) = 1.9669019494900490566945814978089
y[1] (numeric) = 1.9669019494900490290577800351662
absolute error = 2.76368014626427e-17
relative error = 1.4050929925514581430881439988999e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.852914817546764235743378825795
y[1] (analytic) = 1.9674556273386618049105117551243
y[1] (numeric) = 1.9674556273386617772735042241872
absolute error = 2.76370075309371e-17
relative error = 1.4047080476382144283117401013064e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 10.22
Order of pole = 3.254
x[1] = 2.8539080697539516302536106151529
y[1] (analytic) = 1.9680092921706385449677866728008
y[1] (numeric) = 1.968009292170638517330573355521
absolute error = 2.76372133172798e-17
relative error = 1.4043233142866422568627727692507e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.951
Order of pole = 0.9117
x[1] = 2.8549013219611390247638424045108
y[1] (analytic) = 1.9685629439919175409996278332053
y[1] (numeric) = 1.9685629439919175133622090110844
absolute error = 2.76374188221209e-17
relative error = 1.4039387923292318549952513128124e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8558945741683264192740741938687
y[1] (analytic) = 1.9691165828084329944606246013917
y[1] (numeric) = 1.9691165828084329668230005554822
absolute error = 2.76376240459095e-17
relative error = 1.4035544815986269763445587416249e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8568878263755138137843059832266
y[1] (analytic) = 1.9696702086261150478318785168481
y[1] (numeric) = 1.9696702086261150201940495277543
absolute error = 2.76378289890938e-17
relative error = 1.4031703819276297391218433147403e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8578810785827012082945377725845
y[1] (analytic) = 1.9702238214508897883219248045448
y[1] (numeric) = 1.9702238214508897606838911524234
absolute error = 2.76380336521214e-17
relative error = 1.4027864931492156063232853153456e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8588743307898886028047695619424
y[1] (analytic) = 1.9707774212886792515634367795212
y[1] (numeric) = 1.9707774212886792239251987440821
absolute error = 2.76382380354391e-17
relative error = 1.4024028150965229700322809465440e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.514
Order of pole = 0.6663
x[1] = 2.8598675829970759973150013513003
y[1] (analytic) = 1.9713310081454014253057189100424
y[1] (numeric) = 1.9713310081454013976672767705496
absolute error = 2.76384421394928e-17
relative error = 1.4020193476028478260269681535035e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8608608352042633918252331406582
y[1] (analytic) = 1.971884582026970253102994295162
y[1] (numeric) = 1.9718845820269702254643483304348
absolute error = 2.76386459647272e-17
relative error = 1.4016360905016283148162875925476e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8618540874114507863354649300161
y[1] (analytic) = 1.9724381429392956379984923033532
y[1] (numeric) = 1.9724381429392956103596427917663
absolute error = 2.76388495115869e-17
relative error = 1.4012530436265002668912682497794e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 8.42
Order of pole = 2.363
x[1] = 2.862847339618638180845696719374
y[1] (analytic) = 1.9729916908882834462043421097082
y[1] (numeric) = 1.9729916908882834185652893291927
absolute error = 2.76390527805155e-17
relative error = 1.4008702068112512856091716549298e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.891
Order of pole = 1.412
x[1] = 2.8638405918258255753559285087319
y[1] (analytic) = 1.9735452258798355107772778600676
y[1] (numeric) = 1.9735452258798354831380220881123
absolute error = 2.76392557719553e-17
relative error = 1.4004875798898053095339730117092e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8648338440330129698661602980898
y[1] (analytic) = 1.9740987479198496352901611813136
y[1] (numeric) = 1.9740987479198496076507026949653
absolute error = 2.76394584863483e-17
relative error = 1.4001051626962730536224596711088e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.026
Order of pole = 0.9253
x[1] = 2.8658270962402003643763920874477
y[1] (analytic) = 1.9746522570142195974993267479505
y[1] (numeric) = 1.974652257014219569859665823815
absolute error = 2.76396609241355e-17
relative error = 1.3997229550649162745055463558278e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.374
Order of pole = 0.6478
x[1] = 2.8668203484473877588866238768056
y[1] (analytic) = 1.9752057531688351530077566060062
y[1] (numeric) = 1.9752057531688351253678935202489
absolute error = 2.76398630857573e-17
relative error = 1.3993409568301677862941897224794e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8678136006545751533968556661635
y[1] (analytic) = 1.9757592363895820389240889462089
y[1] (numeric) = 1.975759236389582011284023974556
absolute error = 2.76400649716529e-17
relative error = 1.3989591678266008293262338140033e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8688068528617625479070874555214
y[1] (analytic) = 1.9763127066823419775174670093386
y[1] (numeric) = 1.9763127066823419498772004270776
absolute error = 2.76402665822610e-17
relative error = 1.3985775878889642694875408558663e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8698001050689499424173192448793
y[1] (analytic) = 1.9768661640529926798682337976039
y[1] (numeric) = 1.9768661640529926522277658795845
absolute error = 2.76404679180194e-17
relative error = 1.3981962168521620948171470511852e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8707933572761373369275510342372
y[1] (analytic) = 1.9774196085074078495144782568729
y[1] (numeric) = 1.9774196085074078218738092775075
absolute error = 2.76406689793654e-17
relative error = 1.3978150545512734033489847186240e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.31
Order of pole = 0.6396
x[1] = 2.8717866094833247314377828235951
y[1] (analytic) = 1.9779730400514571860944385855741
y[1] (numeric) = 1.9779730400514571584535688188391
absolute error = 2.76408697667350e-17
relative error = 1.3974341008215116892691889371199e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.729
Order of pole = 1.685
x[1] = 2.872779861690512125948014612953
y[1] (analytic) = 1.9785264586910063889847683170911
y[1] (numeric) = 1.9785264586910063613436980365275
absolute error = 2.76410702805636e-17
relative error = 1.3970533554982600114403390644116e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 14.61
Order of pole = 6.085
x[1] = 2.8737731138976995204582464023109
y[1] (analytic) = 1.979079864431917160934670813496
y[1] (numeric) = 1.97907986443191713329340029221
absolute error = 2.76412705212860e-17
relative error = 1.3966728184170707329851716353536e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=350.9MB, alloc=4.4MB, time=43.86
Complex estimate of poles used
Radius of convergence = 0.5262
Order of pole = 0.5072
x[1] = 2.8747663661048869149684781916688
y[1] (analytic) = 1.979633257280047211695907799505
y[1] (numeric) = 1.9796332572800471840544373101688
absolute error = 2.76414704893362e-17
relative error = 1.3962924894136551584654288386623e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8757596183120743094787099810267
y[1] (analytic) = 1.980186637241250261648687556597
y[1] (numeric) = 1.9801866372412502340070173714499
absolute error = 2.76416701851471e-17
relative error = 1.3959123683238681384472082444613e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8767528705192617039889417703846
y[1] (analytic) = 1.9807400043213760454234383883051
y[1] (numeric) = 1.9807400043213760177815687791541
absolute error = 2.76418696091510e-17
relative error = 1.3955324549837330888568580185054e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.67
Order of pole = 1.069
x[1] = 2.8777461227264490984991735597425
y[1] (analytic) = 1.9812933585262703155184729587796
y[1] (numeric) = 1.981293358526270287876404197
absolute error = 2.76420687617796e-17
relative error = 1.3951527492294417324072797494178e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8787393749336364930094053491004
y[1] (analytic) = 1.9818466998617748459135490978233
y[1] (numeric) = 1.9818466998617748182712814543599
absolute error = 2.76422676434634e-17
relative error = 1.3947732508973235657031104342880e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8797326271408238875196371384583
y[1] (analytic) = 1.9824000283337274356793326567231
y[1] (numeric) = 1.9824000283337274080368664020905
absolute error = 2.76424662546326e-17
relative error = 1.3943939598238910433778617950707e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.915
Order of pole = 0.7215
x[1] = 2.8807258793480112820298689278162
y[1] (analytic) = 1.9829533439479619125827679903328
y[1] (numeric) = 1.9829533439479618849401033946168
absolute error = 2.76426645957160e-17
relative error = 1.3940148758457838269593622498894e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8817191315551986765401007171741
y[1] (analytic) = 1.9835066467103081366883616320207
y[1] (numeric) = 1.9835066467103081090454989648783
absolute error = 2.76428626671424e-17
relative error = 1.3936359987998391664933511162895e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.08
Order of pole = 1.463
x[1] = 2.882712383762386071050332506532
y[1] (analytic) = 1.9840599366265920039553847192555
y[1] (numeric) = 1.9840599366265919763123242499162
absolute error = 2.76430604693393e-17
relative error = 1.3932573285230260798407812289748e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8837056359695734655605642958899
y[1] (analytic) = 1.984613213702635449830999718796
y[1] (numeric) = 1.9846132137026354221877417160625
absolute error = 2.76432580027335e-17
relative error = 1.3928788648524753786541925530094e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.004
Order of pole = 0.7348
x[1] = 2.8846988881767608600707960852478
y[1] (analytic) = 1.9851664779442564528393169916455
y[1] (numeric) = 1.9851664779442564251958617238945
absolute error = 2.76434552677510e-17
relative error = 1.3925006076254743826539923955010e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8856921403839482545810278746057
y[1] (analytic) = 1.9857197293572690381663867291486
y[1] (numeric) = 1.9857197293572690105227344643315
absolute error = 2.76436522648171e-17
relative error = 1.3921225566794717146940296866855e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8866853925911356490912596639636
y[1] (analytic) = 1.9862729679474832812411317828414
y[1] (numeric) = 1.9862729679474832535972827884848
absolute error = 2.76438489943566e-17
relative error = 1.3917447118520871224062684547102e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8876786447983230436014914533215
y[1] (analytic) = 1.9868261937207053113122269019113
y[1] (numeric) = 1.9868261937207052836681814451182
absolute error = 2.76440454567931e-17
relative error = 1.3913670729810759850988091460230e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.263
Order of pole = 0.5414
x[1] = 2.8886718970055104381117232426794
y[1] (analytic) = 1.9873794066827373150209298833905
y[1] (numeric) = 1.987379406682737287376688230841
absolute error = 2.76442416525495e-17
relative error = 1.3909896399043542609949793673563e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8896651492126978326219550320373
y[1] (analytic) = 1.9879326068393775399698701314822
y[1] (numeric) = 1.9879326068393775123254325494341
absolute error = 2.76444375820481e-17
relative error = 1.3906124124600032714478028309813e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8906584014198852271321868213952
y[1] (analytic) = 1.9884857941964202982878001137165
y[1] (numeric) = 1.9884857941964202706431668680061
absolute error = 2.76446332457104e-17
relative error = 1.3902353904862593903501795206526e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8916516536270726216424186107531
y[1] (analytic) = 1.9890389687596559701903151929429
y[1] (numeric) = 1.9890389687596559425454865489858
absolute error = 2.76448286439571e-17
relative error = 1.3898585738215138058955766623642e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.892644905834260016152650400111
y[1] (analytic) = 1.9895921305348710075365473054943
y[1] (numeric) = 1.9895921305348709798915235282862
absolute error = 2.76450237772081e-17
relative error = 1.3894819623043122827734715888543e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.586
Order of pole = 0.6732
x[1] = 2.8936381580414474106628821894689
y[1] (analytic) = 1.9901452795278479373818379471985
y[1] (numeric) = 1.9901452795278479097366193013159
absolute error = 2.76452186458826e-17
relative error = 1.3891055557733599495574213791903e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8946314102486348051731139788268
y[1] (analytic) = 1.9906984157443653655263959202715
y[1] (numeric) = 1.9906984157443653378809826698723
absolute error = 2.76454132503992e-17
relative error = 1.3887293540675260781489546973137e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8956246624558221996833457681847
y[1] (analytic) = 1.9912515391901979800599452855008
y[1] (numeric) = 1.9912515391901979524143376943255
absolute error = 2.76456075911753e-17
relative error = 1.3883533570258137015226413280131e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.603
Order of pole = 0.836
x[1] = 2.8966179146630095941935775575426
y[1] (analytic) = 1.9918046498711165549023689555173
y[1] (numeric) = 1.9918046498711165272565672868895
absolute error = 2.76458016686278e-17
relative error = 1.3879775644873945495756096201317e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.385
Order of pole = 0.7963
x[1] = 2.8976111668701969887038093469005
y[1] (analytic) = 1.9923577477928879533403533563574
y[1] (numeric) = 1.9923577477928879256943578731844
absolute error = 2.76459954831730e-17
relative error = 1.3876019762916037733895592211187e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8986044190773843832140411362584
y[1] (analytic) = 1.9929108329612751315600395759376
y[1] (numeric) = 1.9929108329612751039138505407112
absolute error = 2.76461890352264e-17
relative error = 1.3872265922779296605300641893929e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.8995976712845717777242729256163
y[1] (analytic) = 1.9934639053820371421756864095012
y[1] (numeric) = 1.9934639053820371145293040842985
absolute error = 2.76463823252027e-17
relative error = 1.3868514122860134002917583846810e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.327
Order of pole = 0.786
x[1] = 2.9005909234917591722345047149742
y[1] (analytic) = 1.9940169650609291377543507035468
y[1] (numeric) = 1.9940169650609291101077753500313
absolute error = 2.76465753535155e-17
relative error = 1.3864764361556338043635010695845e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9015841756989465667447365043321
y[1] (analytic) = 1.9945700120037023743365903912162
y[1] (numeric) = 1.9945700120037023466898222706381
absolute error = 2.76467681205781e-17
relative error = 1.3861016637267472026809519919690e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=354.7MB, alloc=4.4MB, time=44.33
NO POLE
x[1] = 2.90257742790613396125496829369
y[1] (analytic) = 1.9951230462161042149531956035988
y[1] (numeric) = 1.9951230462161041873062349767957
absolute error = 2.76469606268031e-17
relative error = 1.3857270948394671262948984680840e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9035706801133213557652000830479
y[1] (analytic) = 1.9956760677038781331379532329104
y[1] (numeric) = 1.9956760677038781054908003603085
absolute error = 2.76471528726019e-17
relative error = 1.3853527293340390132256811787926e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9045639323205087502754318724058
y[1] (analytic) = 1.9962290764727637164364503150169
y[1] (numeric) = 1.9962290764727636887891054566312
absolute error = 2.76473448583857e-17
relative error = 1.3849785670508900980741910124576e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.704
Order of pole = 0.8536
x[1] = 2.9055571845276961447856636617637
y[1] (analytic) = 1.9967820725284966699109215902976
y[1] (numeric) = 1.9967820725284966422633850057332
absolute error = 2.76475365845644e-17
relative error = 1.3846046078305740495541789235147e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9065504367348835392958954511216
y[1] (analytic) = 1.9973350558768088196411465933929
y[1] (numeric) = 1.9973350558768087919934185418451
absolute error = 2.76477280515478e-17
relative error = 1.3842308515138308534685477256028e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9075436889420709338061272404795
y[1] (analytic) = 1.9978880265234281162214016139323
y[1] (numeric) = 1.9978880265234280885734823541878
absolute error = 2.76479192597445e-17
relative error = 1.3838572979415314747069940459332e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9085369411492583283163590298374
y[1] (analytic) = 1.9984409844740786382534718619206
y[1] (numeric) = 1.9984409844740786106053616523582
absolute error = 2.76481102095624e-17
relative error = 1.3834839469547026735627515817853e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9095301933564457228265908191953
y[1] (analytic) = 1.9989939297344805958357291630422
y[1] (numeric) = 1.9989939297344805681874282616336
absolute error = 2.76483009014086e-17
relative error = 1.3831107983945217657978993185724e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9105234455636331173368226085532
y[1] (analytic) = 1.9995468623103503340482805007527
y[1] (numeric) = 1.9995468623103503063997891650628
absolute error = 2.76484913356899e-17
relative error = 1.3827378521023413982376755463937e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9115166977708205118470543979111
y[1] (analytic) = 2.0000997822074003364341927136425
y[1] (numeric) = 2.0000997822074003087855112008305
absolute error = 2.76486815128120e-17
relative error = 1.3823651079196492865487326069392e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.912509949978007906357286187269
y[1] (analytic) = 2.0006526894313392284767986481958
y[1] (numeric) = 2.000652689431339200827927215016
absolute error = 2.76488714331798e-17
relative error = 1.3819925656880830018745101649349e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9135032021851953008675179766269
y[1] (analytic) = 2.0012055839878717810730900587148
y[1] (numeric) = 2.0012055839878717534240289615171
absolute error = 2.76490610971977e-17
relative error = 1.3816202252494447329933454213093e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.9646
Order of pole = 0.5239
x[1] = 2.9144964543923826953777497659848
y[1] (analytic) = 2.0017584658826989140032025378436
y[1] (numeric) = 2.0017584658826988863539520325742
absolute error = 2.76492505052694e-17
relative error = 1.3812480864456910460100823874568e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9154897065995700898879815553427
y[1] (analytic) = 2.0023113351215176993959977528081
y[1] (numeric) = 2.0023113351215176717465580950104
absolute error = 2.76494396577977e-17
relative error = 1.3808761491189226610497431903680e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9164829588067574843982133447006
y[1] (analytic) = 2.0028641917100213651907482541807
y[1] (numeric) = 2.002864191710021337541119698996
absolute error = 2.76496285551847e-17
relative error = 1.3805044131113942173180503850133e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9174762110139448789084451340585
y[1] (analytic) = 2.0034170356538992985949301156895
y[1] (numeric) = 2.0034170356538992709451129178577
absolute error = 2.76498171978318e-17
relative error = 1.3801328782655140390849168851656e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9184694632211322734186769234164
y[1] (analytic) = 2.0039698669588370495381286553145
y[1] (numeric) = 2.0039698669588370218881230691747
absolute error = 2.76500055861398e-17
relative error = 1.3797615444238488921861188797132e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9194627154283196679289087127743
y[1] (analytic) = 2.0045226856305163341220624796543
y[1] (numeric) = 2.0045226856305163064718687591456
absolute error = 2.76501937205087e-17
relative error = 1.3793904114291137665336981073007e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9204559676355070624391405021322
y[1] (analytic) = 2.0050754916746150380667310853002
y[1] (numeric) = 2.0050754916746150104163494839626
absolute error = 2.76503816013376e-17
relative error = 1.3790194791241666629078987797033e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2
Order of pole = 0.6024
x[1] = 2.9214492198426944569493722914901
y[1] (analytic) = 2.0056282850968072201526912427238
y[1] (numeric) = 2.0056282850968071925021220136987
absolute error = 2.76505692290251e-17
relative error = 1.3786487473520283182493410969402e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.922442472049881851459604080848
y[1] (analytic) = 2.0061810659027631156594673799672
y[1] (numeric) = 2.0061810659027630880087107759981
absolute error = 2.76507566039691e-17
relative error = 1.3782782159558719908056278933610e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.424
Order of pole = 0.7998
x[1] = 2.9234357242570692459698358702059
y[1] (analytic) = 2.0067338340981491398001011752245
y[1] (numeric) = 2.0067338340981491121491574486577
absolute error = 2.76509437265668e-17
relative error = 1.3779078847790232286406757952162e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9244289764642566404800676595638
y[1] (analytic) = 2.0072865896886278911518455592154
y[1] (numeric) = 2.0072865896886278635007149620012
absolute error = 2.76511305972142e-17
relative error = 1.3775377536649347293136652775965e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9254222286714440349902994489217
y[1] (analytic) = 2.007839332679858155083008320083
y[1] (numeric) = 2.0078393326798581274316911037756
absolute error = 2.76513172163074e-17
relative error = 1.3771678224572508897263346648715e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9264154808786314295005312382796
y[1] (analytic) = 2.0083920630774949071759504953831
y[1] (numeric) = 2.0083920630774948795244469111418
absolute error = 2.76515035842413e-17
relative error = 1.3767980909997427926192462199091e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9274087330858188240107630276375
y[1] (analytic) = 2.0089447808871893166462447275992
y[1] (numeric) = 2.0089447808871892889945550261891
absolute error = 2.76516897014101e-17
relative error = 1.3764285591363328997064128187248e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.495
Order of pole = 1.27
x[1] = 2.9284019852930062185209948169954
y[1] (analytic) = 2.0094974861145887497579987514814
y[1] (numeric) = 2.0094974861145887221061231832742
absolute error = 2.76518755682072e-17
relative error = 1.3760592267110898458811098280331e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.404
Order of pole = 0.7955
x[1] = 2.9293952375001936130312266063533
y[1] (analytic) = 2.0100501787653367732353491733991
y[1] (numeric) = 2.0100501787653367455832879883735
absolute error = 2.76520611850256e-17
relative error = 1.3756900935682481170460817244643e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=358.5MB, alloc=4.4MB, time=44.80
NO POLE
x[1] = 2.9303884897073810075414583957112
y[1] (analytic) = 2.0106028588450731576701306947937
y[1] (numeric) = 2.0106028588450731300178841425361
absolute error = 2.76522465522576e-17
relative error = 1.3753211595521928800952110913242e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.294
Order of pole = 0.634
x[1] = 2.9313817419145684020516901850691
y[1] (analytic) = 2.011155526359433880925725923738
y[1] (numeric) = 2.0111555263594338532732942534435
absolute error = 2.76524316702945e-17
relative error = 1.3749524245074448379439019624278e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.932374994121755796561921974427
y[1] (analytic) = 2.0117081813140511315371009105354
y[1] (numeric) = 2.0117081813140511038844843710084
absolute error = 2.76526165395270e-17
relative error = 1.3745838882786799058572863030857e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9333682463289431910721537637849
y[1] (analytic) = 2.0122608237145533121070315352388
y[1] (numeric) = 2.0122608237145532844542303748937
absolute error = 2.76528011603451e-17
relative error = 1.3742155507107240077151091095052e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9343614985361305855823855531428
y[1] (analytic) = 2.0128134535665650426985258669256
y[1] (numeric) = 2.0128134535665650150455403337872
absolute error = 2.76529855331384e-17
relative error = 1.3738474116485677535652231986628e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9353547507433179800926173425007
y[1] (analytic) = 2.0133660708757071642234476065407
y[1] (numeric) = 2.0133660708757071365702779482452
absolute error = 2.76531696582955e-17
relative error = 1.3734794709373363917801316807859e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9363480029505053746028491318586
y[1] (analytic) = 2.0139186756475967418273457171068
y[1] (numeric) = 2.0139186756475967141739921809027
absolute error = 2.76533535362041e-17
relative error = 1.3731117284222945688255295899013e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9373412551576927691130809212165
y[1] (analytic) = 2.0144712678878470682704953371031
y[1] (numeric) = 2.0144712678878470406169581698515
absolute error = 2.76535371672516e-17
relative error = 1.3727441839488759016365841112007e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9383345073648801636233127105744
y[1] (analytic) = 2.0150238476020676673051550648286
y[1] (numeric) = 2.015023847602067639651434513004
absolute error = 2.76537205518246e-17
relative error = 1.3723768373626579114452725261283e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9393277595720675581335444999323
y[1] (analytic) = 2.015576414795864297049045693599
y[1] (numeric) = 2.0155764147958642693951420032899
absolute error = 2.76539036903091e-17
relative error = 1.3720096885093717283943216080282e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9403210117792549526437762892902
y[1] (analytic) = 2.0161289694748389533550554696701
y[1] (numeric) = 2.0161289694748389257009688865801
absolute error = 2.76540865830900e-17
relative error = 1.3716427372348770602255691338912e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9413142639864423471540080786481
y[1] (analytic) = 2.0166815116445898731771769368406
y[1] (numeric) = 2.0166815116445898455229077062886
absolute error = 2.76542692305520e-17
relative error = 1.3712759833852066231289116402373e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.942307516193629741664239868006
y[1] (analytic) = 2.0172340413107115379326804237585
y[1] (numeric) = 2.0172340413107115102782287906796
absolute error = 2.76544516330789e-17
relative error = 1.3709094268065311830768045765590e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9433007684008171361744716573639
y[1] (analytic) = 2.0177865584787946768605292220452
y[1] (numeric) = 2.0177865584787946492058954309913
absolute error = 2.76546337910539e-17
relative error = 1.3705430673451742138858220962423e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9442940206080045306847034467218
y[1] (analytic) = 2.0183390631544262703760414954522
y[1] (numeric) = 2.0183390631544262427212257905931
absolute error = 2.76548157048591e-17
relative error = 1.3701769048475868946847008851753e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9452872728151919251949352360797
y[1] (analytic) = 2.0188915553431895534218039523821
y[1] (numeric) = 2.0188915553431895257668065775056
absolute error = 2.76549973748765e-17
relative error = 1.3698109391603974466658469611669e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9462805250223793197051670254376
y[1] (analytic) = 2.0194440350506640188148423062319
y[1] (numeric) = 2.0194440350506639911596635047447
absolute error = 2.76551788014872e-17
relative error = 1.3694451701303712554404212284499e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.629
Order of pole = 1.301
x[1] = 2.9472737772295667142153988147955
y[1] (analytic) = 2.0199965022824254205900535401661
y[1] (numeric) = 2.0199965022824253929346935550945
absolute error = 2.76553599850716e-17
relative error = 1.3690795976044205639051697056091e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9482670294367541087256306041534
y[1] (analytic) = 2.020548957044045777339904985081
y[1] (numeric) = 2.0205489570440457496843640590718
absolute error = 2.76555409260092e-17
relative error = 1.3687142214295943526405486045978e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9492602816439415032358623935113
y[1] (analytic) = 2.0211013993410933755504052116956
y[1] (numeric) = 2.0211013993410933478946835870165
absolute error = 2.76557216246791e-17
relative error = 1.3683490414531028715198073016111e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9502535338511288977460941828692
y[1] (analytic) = 2.0216538291791327729333517298894
y[1] (numeric) = 2.0216538291791327452774496484294
absolute error = 2.76559020814600e-17
relative error = 1.3679840575223173989039097483988e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9512467860583162922563259722271
y[1] (analytic) = 2.0222062465637248017548604806069
y[1] (numeric) = 2.0222062465637247740987781838776
absolute error = 2.76560822967293e-17
relative error = 1.3676192694847254954199147540880e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.952240038265503686766557761585
y[1] (analytic) = 2.0227586515004265721601820978664
y[1] (numeric) = 2.0227586515004265445039198270024
absolute error = 2.76562622708640e-17
relative error = 1.3672546771879753184775009469205e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9532332904726910812767895509429
y[1] (analytic) = 2.0233110439947914754948099106324
y[1] (numeric) = 2.0233110439947914478383679063921
absolute error = 2.76564420042403e-17
relative error = 1.3668902804798556131055178891361e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9542265426798784757870213403008
y[1] (analytic) = 2.0238634240523691876218846465578
y[1] (numeric) = 2.0238634240523691599652631493235
absolute error = 2.76566214972343e-17
relative error = 1.3665260792083300870838508527398e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9552197948870658702972531296587
y[1] (analytic) = 2.0244157916787056722359007918529
y[1] (numeric) = 2.0244157916787056445791000416323
absolute error = 2.76568007502206e-17
relative error = 1.3661620732214679962012960033957e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9562130470942532648074849190166
y[1] (analytic) = 2.0249681468793431841727195538145
y[1] (numeric) = 2.0249681468793431565157397902408
absolute error = 2.76569797635737e-17
relative error = 1.3657982623675131169358076268303e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9572062993014406593177167083745
y[1] (analytic) = 2.025520489659820272715893364822
y[1] (numeric) = 2.0255204896598202450587348271549
absolute error = 2.76571585376671e-17
relative error = 1.3654346464948390552538349783350e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.841
Order of pole = 1.09
memory used=362.4MB, alloc=4.4MB, time=45.30
x[1] = 2.9581995515086280538279484977324
y[1] (analytic) = 2.0260728200256717848993068589132
y[1] (numeric) = 2.026072820025671757241969786039
absolute error = 2.76573370728742e-17
relative error = 1.3650712254519934703669551251891e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9591928037158154483381802870903
y[1] (analytic) = 2.0266251379824288688061392443559
y[1] (numeric) = 2.026625137982428841148623874789
absolute error = 2.76575153695669e-17
relative error = 1.3647079990876287370384329699134e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9601860559230028428484120764482
y[1] (analytic) = 2.0271774435356189768641529879628
y[1] (numeric) = 2.0271774435356189492064595598458
absolute error = 2.76576934281170e-17
relative error = 1.3643449672505708443557759777564e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9611793081301902373586438658061
y[1] (analytic) = 2.0277297366907658691373137192274
y[1] (numeric) = 2.027729736690765841479442470332
absolute error = 2.76578712488954e-17
relative error = 1.3639821297897796862155394206497e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.829
Order of pole = 1.672
x[1] = 2.962172560337377631868875655164
y[1] (analytic) = 2.0282820174533896166137462547169
y[1] (numeric) = 2.0282820174533895889556974224441
absolute error = 2.76580488322728e-17
relative error = 1.3636194865543833709314371974757e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9631658125445650263791074445219
y[1] (analytic) = 2.028834285829006604490031635518
y[1] (numeric) = 2.0288342858290065768318054568993
absolute error = 2.76582261786187e-17
relative error = 1.3632570373936286828784381464179e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9641590647517524208893392338798
y[1] (analytic) = 2.0293865418231295354518500629152
y[1] (numeric) = 2.0293865418231295077934467746133
absolute error = 2.76584032883019e-17
relative error = 1.3628947821569055390189640336064e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9651523169589398153995710232377
y[1] (analytic) = 2.0299387854412674329509746098704
y[1] (numeric) = 2.0299387854412674052923944481794
absolute error = 2.76585801616910e-17
relative error = 1.3625327206937714055390848699831e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9661455691661272099098028125956
y[1] (analytic) = 2.0304910166889256444786205782771
y[1] (numeric) = 2.0304910166889256168198637791234
absolute error = 2.76587567991537e-17
relative error = 1.3621708528539165756681305522607e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9671388213733146044200346019535
y[1] (analytic) = 2.0310432355716058448351553643873
y[1] (numeric) = 2.0310432355716058171762221633302
absolute error = 2.76589332010571e-17
relative error = 1.3618091784871787399575308954377e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9681320735805019989302663913114
y[1] (analytic) = 2.0315954420948060393961736872366
y[1] (numeric) = 2.0315954420948060117370643194691
absolute error = 2.76591093677675e-17
relative error = 1.3614476974435329216299445031233e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9691253257876893934404981806693
y[1] (analytic) = 2.0321476362640205673749430273424
y[1] (numeric) = 2.0321476362640205397156577276917
absolute error = 2.76592852996507e-17
relative error = 1.3610864095731060328818473985949e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9701185779948767879507299700272
y[1] (analytic) = 2.0326998180847401050812241154088
y[1] (numeric) = 2.032699818084740077421763118337
absolute error = 2.76594609970718e-17
relative error = 1.3607253147261668096648704812835e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9711118302020641824609617593851
y[1] (analytic) = 2.0332519875624516691764713032452
y[1] (numeric) = 2.0332519875624516415168348428498
absolute error = 2.76596364603954e-17
relative error = 1.3603644127531354358188210187318e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.972105082409251576971193548743
y[1] (analytic) = 2.033804144702638619925417641592
y[1] (numeric) = 2.0338041447026385922656059516069
absolute error = 2.76598116899851e-17
relative error = 1.3600037035045587332995914928062e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.964
Order of pole = 0.5965
x[1] = 2.9730983346164389714814253381009
y[1] (analytic) = 2.0343562895107806644440494820477
y[1] (numeric) = 2.0343562895107806367840627958436
absolute error = 2.76599866862041e-17
relative error = 1.3596431868311394639995460872880e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9740915868236263659916571274588
y[1] (analytic) = 2.0349084219923538599439754128031
y[1] (numeric) = 2.034908421992353832283813963388
absolute error = 2.76601614494151e-17
relative error = 1.3592828625837311843132512385944e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9750848390308137605018889168167
y[1] (analytic) = 2.0354605421528306169731943304156
y[1] (numeric) = 2.0354605421528305893128583504358
absolute error = 2.76603359799798e-17
relative error = 1.3589227306133134565383627808642e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.939
Order of pole = 0.7156
x[1] = 2.9760780912380011550121207061746
y[1] (analytic) = 2.036012649997679702653267442398
y[1] (numeric) = 2.0360126499976796749927571641386
absolute error = 2.76605102782594e-17
relative error = 1.3585627907710162162493418534116e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9770713434451885495223524955325
y[1] (analytic) = 2.0365647455323662439128989879466
y[1] (numeric) = 2.0365647455323662162522146433319
absolute error = 2.76606843446147e-17
relative error = 1.3582030429081244591494349000966e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9780645956523759440325842848904
y[1] (analytic) = 2.0371168287623517307179304567009
y[1] (numeric) = 2.0371168287623517030570722772953
absolute error = 2.76608581794056e-17
relative error = 1.3578434868760534669423344183590e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9790578478595633385428160742483
y[1] (analytic) = 2.0376688996930940192977530780069
y[1] (numeric) = 2.0376688996930939916367212950155
absolute error = 2.76610317829914e-17
relative error = 1.3574841225263633340586798284913e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9800511000667507330530478636062
y[1] (analytic) = 2.0382209583300473353681433457486
y[1] (numeric) = 2.038220958330047307706938190018
absolute error = 2.76612051557306e-17
relative error = 1.3571249497107489396085101839301e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9810443522739381275632796529641
y[1] (analytic) = 2.0387730046786622773505263364172
y[1] (numeric) = 2.0387730046786622496891480384358
absolute error = 2.76613782979814e-17
relative error = 1.3567659682810642700341940285365e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.982037604481125522073511442322
y[1] (analytic) = 2.0393250387443858195876715707066
y[1] (numeric) = 2.0393250387443857919261203606054
absolute error = 2.76615512101012e-17
relative error = 1.3564071780892976664583065667010e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.6216
Order of pole = 0.5096
x[1] = 2.9830308566883129165837432316799
y[1] (analytic) = 2.0398770605326613155558261615568
y[1] (numeric) = 2.0398770605326612878941022691098
absolute error = 2.76617238924470e-17
relative error = 1.3560485789875912325612706330636e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9840241088955003110939750210378
y[1] (analytic) = 2.0404290700489285010732899842096
y[1] (numeric) = 2.0404290700489284734113936388351
absolute error = 2.76618963453745e-17
relative error = 1.3556901708281964988969618559504e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.351
Order of pole = 1.503
x[1] = 2.9850173611026877056042068103957
y[1] (analytic) = 2.0409810672986234975054375965032
y[1] (numeric) = 2.0409810672986234698433690272636
absolute error = 2.76620685692396e-17
relative error = 1.3553319534635477496939653796099e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9860106133098751001144385997536
y[1] (analytic) = 2.041533052287178814966191630296
y[1] (numeric) = 2.041533052287178787303951065899
absolute error = 2.76622405643970e-17
relative error = 1.3549739267461931806171614683630e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
memory used=366.2MB, alloc=4.4MB, time=45.79
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 27.56
Order of pole = 19.37
x[1] = 2.9870038655170624946246703891115
y[1] (analytic) = 2.0420850250200233555159523676031
y[1] (numeric) = 2.042085025020023327853540036402
absolute error = 2.76624123312011e-17
relative error = 1.3546160905288387981943658511008e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.597
Order of pole = 0.8213
x[1] = 2.9889903699314372836451339678273
y[1] (analytic) = 2.0431889337402776930192917243048
y[1] (numeric) = 2.0431889337402776653565365431423
absolute error = 2.76627551811625e-17
relative error = 1.3539009890055954503755137319398e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9899836221386246781553657571852
y[1] (analytic) = 2.0437408697385272825579060041771
y[1] (numeric) = 2.0437408697385272548949797391515
absolute error = 2.76629262650256e-17
relative error = 1.3535437234058321471721671732134e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9909768743458120726655975465431
y[1] (analytic) = 2.0442927935027456867267259521912
y[1] (numeric) = 2.0442927935027456590636288302451
absolute error = 2.76630971219461e-17
relative error = 1.3531866477182758671122699640589e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.991970126552999467175829335901
y[1] (analytic) = 2.0448447050383438151637792394648
y[1] (numeric) = 2.0448447050383437875005114871899
absolute error = 2.76632677522749e-17
relative error = 1.3528297617963205404713715841825e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.971
Order of pole = 0.7187
x[1] = 2.9929633787601868616860611252589
y[1] (analytic) = 2.0453966043507289885669915648637
y[1] (numeric) = 2.0453966043507289609035534085009
absolute error = 2.76634381563628e-17
relative error = 1.3524730654935264034863709708759e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9939566309673742561962929146168
y[1] (analytic) = 2.045948491445304941867440892487
y[1] (numeric) = 2.0459484914453049142038325579273
absolute error = 2.76636083345597e-17
relative error = 1.3521165586635806533832771765039e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9949498831745616507065247039747
y[1] (analytic) = 2.0465003663274718273991053206674
y[1] (numeric) = 2.0465003663274717997353270334526
absolute error = 2.76637782872148e-17
relative error = 1.3517602411603070310038629879055e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 10.06
Order of pole = 3.005
x[1] = 2.9959431353817490452167564933326
y[1] (analytic) = 2.0470522290026262180651092307999
y[1] (numeric) = 2.0470522290026261904011612161233
absolute error = 2.76639480146766e-17
relative error = 1.3514041128376656178153639133112e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9969363875889364397269882826905
y[1] (analytic) = 2.047604079476161110500472357127
y[1] (numeric) = 2.0476040794761610828363548398338
absolute error = 2.76641175172932e-17
relative error = 1.3510481735497672845488153110575e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9979296397961238342372200720484
y[1] (analytic) = 2.0481559177534659282313664114313
y[1] (numeric) = 2.048155917753465900567079616019
absolute error = 2.76642867954123e-17
relative error = 1.3506924231508734691879190458311e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9989228920033112287474518614063
y[1] (analytic) = 2.0487077438399265248308838894259
y[1] (numeric) = 2.0487077438399264971664280400454
absolute error = 2.76644558493805e-17
relative error = 1.3503368614953617874685594860929e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 2.9999161442104986232576836507642
y[1] (analytic) = 2.049259557740925187071323678484
y[1] (numeric) = 2.0492595577409251594066989989401
absolute error = 2.76646246795439e-17
relative error = 1.3499814884377551365185275512535e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0009093964176860177679154401221
y[1] (analytic) = 2.04981135946184063807299807921
y[1] (numeric) = 2.0498113594618406104082047929616
absolute error = 2.76647932862484e-17
relative error = 1.3496263038327361160250976924449e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.00190264862487341227814722948
y[1] (analytic) = 2.0503631490080480404495658462304
y[1] (numeric) = 2.0503631490080480127846041763917
absolute error = 2.76649616698387e-17
relative error = 1.3492713075350980227451985543575e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0028959008320608067883790188379
y[1] (analytic) = 2.0509149263849189994498958464744
y[1] (numeric) = 2.050914926384918971784766015815
absolute error = 2.76651298306594e-17
relative error = 1.3489164993997983174800755243579e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0038891530392482012986108081958
y[1] (analytic) = 2.0514666915978215660964659261084
y[1] (numeric) = 2.0514666915978215384311681570544
absolute error = 2.76652977690540e-17
relative error = 1.3485618792819096400087226924125e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0048824052464355958088425975537
y[1] (analytic) = 2.05201844465212024032030157021
y[1] (numeric) = 2.0520184446521202126548360848442
absolute error = 2.76654654853658e-17
relative error = 1.3482074470366634948417796729559e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0058756574536229903190743869116
y[1] (analytic) = 2.0525701855531759740924589321847
y[1] (numeric) = 2.0525701855531759464268259522472
absolute error = 2.76656329799375e-17
relative error = 1.3478532025194305313183108981318e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0068689096608103848293061762695
y[1] (analytic) = 2.0531219143063461745520568028722
y[1] (numeric) = 2.0531219143063461468862565497612
absolute error = 2.76658002531110e-17
relative error = 1.3474991455857105967929639951309e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0078621618679977793395379656274
y[1] (analytic) = 2.0536736309169847071308620822392
y[1] (numeric) = 2.0536736309169846794648947770119
absolute error = 2.76659673052273e-17
relative error = 1.3471452760911276752094503679927e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.817
Order of pole = 0.6952
x[1] = 3.0088554140751851738497697549853
y[1] (analytic) = 2.054225335390441898674433309517
y[1] (numeric) = 2.0542253353904418710082991728895
absolute error = 2.76661341366275e-17
relative error = 1.3467915938914783820258184395326e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.448
Order of pole = 0.9866
x[1] = 3.0098486662823725683600015443432
y[1] (analytic) = 2.0547770277320645405598268006173
y[1] (numeric) = 2.0547770277320645128935260529655
absolute error = 2.76663007476518e-17
relative error = 1.3464380988426830468834536808422e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0108419184895599628702333337011
y[1] (analytic) = 2.0553287079471958918098699346508
y[1] (numeric) = 2.0553287079471958641434027960112
absolute error = 2.76664671386396e-17
relative error = 1.3460847908007903945097494019519e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.011835170696747357380465123059
y[1] (analytic) = 2.0558803760411756822040061243706
y[1] (numeric) = 2.0558803760411756545373728144409
absolute error = 2.76666333099297e-17
relative error = 1.3457316696219870822093875063733e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0128284229039347518906969124169
y[1] (analytic) = 2.056432032019340115385715998376
y[1] (numeric) = 2.0564320320193400877189167365154
absolute error = 2.76667992618606e-17
relative error = 1.3453787351626120848250171764257e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0138216751111221464009287017748
y[1] (analytic) = 2.056983675887021871966519315936
y[1] (numeric) = 2.0569836758870218442995543211658
absolute error = 2.76669649947702e-17
relative error = 1.3450259872791418876574408235858e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=370.0MB, alloc=4.4MB, time=46.28
NO POLE
x[1] = 3.0148149273183095409111604911327
y[1] (analytic) = 2.0575353076495501126265621283311
y[1] (numeric) = 2.0575353076495500849594316193355
absolute error = 2.76671305089956e-17
relative error = 1.3446734258281805634197849411083e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.666
Order of pole = 1.941
x[1] = 3.0158081795254969354213922804906
y[1] (analytic) = 2.05808692731225048121179369366
y[1] (numeric) = 2.0580869273122504535444978887868
absolute error = 2.76672958048732e-17
relative error = 1.3443210506664644418229922446254e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0168014317326843299316240698485
y[1] (analytic) = 2.0586385348804451078277376451195
y[1] (numeric) = 2.0586385348804450801602767623805
absolute error = 2.76674608827390e-17
relative error = 1.3439688616508764868416051101869e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0177946839398717244418558592064
y[1] (analytic) = 2.0591901303594526119298619058401
y[1] (numeric) = 2.0591901303594525842622361629114
absolute error = 2.76676257429287e-17
relative error = 1.3436168586384509383450729594960e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0187879361470591189520876485643
y[1] (analytic) = 2.0597417137545881054105518364444
y[1] (numeric) = 2.0597417137545880777427614506676
absolute error = 2.76677903857768e-17
relative error = 1.3432650414863293965249731230047e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0197811883542465134623194379222
y[1] (analytic) = 2.0602932850711631956826910945976
y[1] (numeric) = 2.0602932850711631680147362829802
absolute error = 2.76679548116174e-17
relative error = 1.3429134100517994894186017826950e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0207744405614339079725512272801
y[1] (analytic) = 2.0608448443144859887598546789248
y[1] (numeric) = 2.0608448443144859610917356581404
absolute error = 2.76681190207844e-17
relative error = 1.3425619641923043640929285551899e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.021767692768621302482783016638
y[1] (analytic) = 2.061396391489861092333118622794
y[1] (numeric) = 2.0613963914898610646648356091832
absolute error = 2.76682830136108e-17
relative error = 1.3422107037654085028968468286249e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0227609449758086969930148059959
y[1] (analytic) = 2.0619479266025896188444907966008
y[1] (numeric) = 2.0619479266025895911760440061717
absolute error = 2.76684467904291e-17
relative error = 1.3418596286288169422188168433354e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0237541971829960915032465953538
y[1] (analytic) = 2.0624994496579691885569672703325
y[1] (numeric) = 2.0624994496579691608883569187616
absolute error = 2.76686103515709e-17
relative error = 1.3415087386403556725482182147310e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0247474493901834860134783847117
y[1] (analytic) = 2.0630509606612939326212186813536
y[1] (numeric) = 2.063050960661293904952444983986
absolute error = 2.76687736973676e-17
relative error = 1.3411580336580053890941001514635e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0257407015973708805237101740696
y[1] (analytic) = 2.0636024596178544961389110455195
y[1] (numeric) = 2.0636024596178544684699742173693
absolute error = 2.76689368281502e-17
relative error = 1.3408075135398915752612718423428e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.57
Order of pole = 1.257
x[1] = 3.0267339538045582750339419634275
y[1] (analytic) = 2.0641539465329380412226654429109
y[1] (numeric) = 2.0641539465329380135535656986624
absolute error = 2.76690997442485e-17
relative error = 1.3404571781442455344544075387342e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0277272060117456695441737527854
y[1] (analytic) = 2.0647054214118282500526610026785
y[1] (numeric) = 2.0647054214118282223833985566864
absolute error = 2.76692624459921e-17
relative error = 1.3401070273294526638682361246271e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0287204582189330640544055421433
y[1] (analytic) = 2.0652568842598053279298856046877
y[1] (numeric) = 2.0652568842598053002604606709777
absolute error = 2.76694249337100e-17
relative error = 1.3397570609540328627866991074778e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0297137104261204585646373315012
y[1] (analytic) = 2.0658083350821460063260387088772
y[1] (numeric) = 2.0658083350821459786564515011465
absolute error = 2.76695872077307e-17
relative error = 1.3394072788766451758924947953875e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0307069626333078530748691208591
y[1] (analytic) = 2.0663597738841235459300907164721
y[1] (numeric) = 2.0663597738841235182603414480902
absolute error = 2.76697492683819e-17
relative error = 1.3390576809560730714574322914416e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.031700214840495247585100910217
y[1] (analytic) = 2.0669112006710077396915032604375
y[1] (numeric) = 2.0669112006710077120215921444467
absolute error = 2.76699111159908e-17
relative error = 1.3387082670512387719509280045720e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0326934670476826420953326995749
y[1] (analytic) = 2.0674626154480649158601148158094
y[1] (numeric) = 2.0674626154480648881900420649254
absolute error = 2.76700727508840e-17
relative error = 1.3383590370211982143563319195844e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.575
Order of pole = 0.5604
x[1] = 3.0336867192548700366055644889328
y[1] (analytic) = 2.0680140182205579410226960138078
y[1] (numeric) = 2.06801401822055791335246184042
absolute error = 2.76702341733878e-17
relative error = 1.3380099907251553608075509396720e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.683
Order of pole = 0.83
x[1] = 3.0346799714620574311157962782907
y[1] (analytic) = 2.068565408993746223136179036913
y[1] (numeric) = 2.0685654089937461954657836530852
absolute error = 2.76703953838278e-17
relative error = 1.3376611280224426464892410869742e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0356732236692448256260280676486
y[1] (analytic) = 2.0691167877728857145575654653772
y[1] (numeric) = 2.0691167877728856868870090828486
absolute error = 2.76705563825286e-17
relative error = 1.3373124487725062918083288515853e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0366664758764322201362598570065
y[1] (analytic) = 2.0696681545632289150705169389448
y[1] (numeric) = 2.0696681545632288873997997691301
absolute error = 2.76707171698147e-17
relative error = 1.3369639528349496183804070586895e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.256
Order of pole = 0.5384
x[1] = 3.0376597280836196146464916463644
y[1] (analytic) = 2.0702195093700248749086329908643
y[1] (numeric) = 2.0702195093700248472377552448541
absolute error = 2.76708777460102e-17
relative error = 1.3366156400695183309579921757342e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0386529802908070091567234357223
y[1] (analytic) = 2.0707708521985191977754204046032
y[1] (numeric) = 2.070770852198519170104382293165
absolute error = 2.76710381114382e-17
relative error = 1.3362675103360713355427917839025e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0396462324979944036669552250802
y[1] (analytic) = 2.0713221830539540438609584370135
y[1] (numeric) = 2.0713221830539540161897601705924
absolute error = 2.76711982664211e-17
relative error = 1.3359195634945950546393101457903e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0406394847051817981771870144381
y[1] (analytic) = 2.0718735019415681328552642450408
y[1] (numeric) = 2.0718735019415681051839060337596
absolute error = 2.76713582112812e-17
relative error = 1.3355717994052321993281142893175e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.538
Order of pole = 0.5574
x[1] = 3.041632736912369192687418803796
y[1] (analytic) = 2.0724248088665967469583628464308
y[1] (numeric) = 2.0724248088665967192868449000905
absolute error = 2.76715179463403e-17
relative error = 1.3352242179282622427878907135956e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
memory used=373.8MB, alloc=4.4MB, time=46.75
x[1] = 3.0426259891195565871976505931539
y[1] (analytic) = 2.0729761038342717338870659382592
y[1] (numeric) = 2.0729761038342717062153884663399
absolute error = 2.76716774719193e-17
relative error = 1.3348768189240819250054592738122e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0436192413267439817078823825118
y[1] (analytic) = 2.0735273868498215098784638904929
y[1] (numeric) = 2.0735273868498214822066271021546
absolute error = 2.76718367883383e-17
relative error = 1.3345296022532099021120289628623e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0446124935339313762181141718697
y[1] (analytic) = 2.0740786579184710626901352251864
y[1] (numeric) = 2.074078657918471035018139329269
absolute error = 2.76719958959174e-17
relative error = 1.3341825677763251382571964265459e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 13.85
Order of pole = 5.146
x[1] = 3.0456057457411187707283459612276
y[1] (analytic) = 2.0746299170454419545970778853188
y[1] (numeric) = 2.0746299170454419269249230903428
absolute error = 2.76721547949760e-17
relative error = 1.3338357153542329342505630342793e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0465989979483061652385777505855
y[1] (analytic) = 2.0751811642359523253853665907
y[1] (numeric) = 2.0751811642359522977130531048672
absolute error = 2.76723134858328e-17
relative error = 1.3334890448478647423730350107412e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.281
Order of pole = 0.9433
x[1] = 3.0475922501554935597488095399434
y[1] (analytic) = 2.0757323994952168953425405718009
y[1] (numeric) = 2.075732399495216867670068602995
absolute error = 2.76724719688059e-17
relative error = 1.3331425561182827990873814587692e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.958
Order of pole = 0.8788
x[1] = 3.0485855023626809542590413293013
y[1] (analytic) = 2.076283622828446968244725965802
y[1] (numeric) = 2.0762836228284469405720957215889
absolute error = 2.76726302442131e-17
relative error = 1.3327962490266943829920998327305e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0495787545698683487692731186592
y[1] (analytic) = 2.0768348342408504343404971526084
y[1] (numeric) = 2.076834834240850406667708840237
absolute error = 2.76727883123714e-17
relative error = 1.3324501234344275299427923048067e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0505720067770557432795049080171
y[1] (analytic) = 2.077386033737631773331481302042
y[1] (numeric) = 2.0773860337376317456585351284447
absolute error = 2.76729461735973e-17
relative error = 1.3321041792029452967985050981243e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.27
Order of pole = 0.9403
x[1] = 3.051565258984243137789736697375
y[1] (analytic) = 2.0779372213239920573497103968966
y[1] (numeric) = 2.0779372213239920296766065686898
absolute error = 2.76731038282068e-17
relative error = 1.3317584161938455650987947245235e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0525585111914305322999684867329
y[1] (analytic) = 2.078488397005128953931724990027
y[1] (numeric) = 2.0784883970051289262584637135117
absolute error = 2.76732612765153e-17
relative error = 1.3314128342688560338924651876743e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 11.16
Order of pole = 3.505
x[1] = 3.0535517633986179268102002760908
y[1] (analytic) = 2.0790395607862367289894339471424
y[1] (numeric) = 2.0790395607862367013160154283045
absolute error = 2.76734185188379e-17
relative error = 1.3310674332898484602119971043718e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0545450156058053213204320654487
y[1] (analytic) = 2.0795907126725062497777344204808
y[1] (numeric) = 2.079590712672506222104158864992
absolute error = 2.76735755554888e-17
relative error = 1.3307222131188095991840255419773e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0555382678129927158306638548066
y[1] (analytic) = 2.0801418526691249878588962920639
y[1] (numeric) = 2.0801418526691249601851639052824
absolute error = 2.76737323867815e-17
relative error = 1.3303771736178506492812024436230e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0565315200201801103408956441645
y[1] (analytic) = 2.0806929807812770220637153187632
y[1] (numeric) = 2.0806929807812769943898263057335
absolute error = 2.76738890130297e-17
relative error = 1.3300323146492503252268978667295e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0575247722273675048511274335224
y[1] (analytic) = 2.0812440970141430414494392049465
y[1] (numeric) = 2.0812440970141430137753937704006
absolute error = 2.76740454345459e-17
relative error = 1.3296876360753873516683319455967e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.3727
Order of pole = 0.5033
x[1] = 3.0585180244345548993613592228803
y[1] (analytic) = 2.0817952013729003482544708220358
y[1] (numeric) = 2.0817952013729003205802691703935
absolute error = 2.76742016516423e-17
relative error = 1.3293431377587835456731166874895e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0595112766417422938715910122382
y[1] (analytic) = 2.0823462938627228608498527878652
y[1] (numeric) = 2.0823462938627228331754951232349
absolute error = 2.76743576646303e-17
relative error = 1.3289988195620795989869132631054e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0605045288489296883818228015961
y[1] (analytic) = 2.0828973744887811166875376123098
y[1] (numeric) = 2.0828973744887810890130241384887
absolute error = 2.76745134738211e-17
relative error = 1.3286546813480637098150995932261e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.061497781056117082892054590954
y[1] (analytic) = 2.0834484432562422752454476092397
y[1] (numeric) = 2.0834484432562422475707785297144
absolute error = 2.76746690795253e-17
relative error = 1.3283107229796521718443927232305e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0624910332633044774022863803119
y[1] (analytic) = 2.0839995001702701209693287684547
y[1] (numeric) = 2.083999500170270093294504286402
absolute error = 2.76748244820527e-17
relative error = 1.3279669443198795910207196407510e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0634842854704918719125181696698
y[1] (analytic) = 2.084550545236025066211402774866
y[1] (numeric) = 2.0845505452360250385364230931531
absolute error = 2.76749796817129e-17
relative error = 1.3276233452319274954485837465844e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0644775376776792664227499590277
y[1] (analytic) = 2.085101578458664154165821355809
y[1] (numeric) = 2.0851015784586641264906866769944
absolute error = 2.76751346788146e-17
relative error = 1.3272799255790905528694545521471e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.894
Order of pole = 0.701
x[1] = 3.0654707898848666609329817483856
y[1] (analytic) = 2.0856525998433410618009271310071
y[1] (numeric) = 2.0856525998433410341256376573406
absolute error = 2.76752894736665e-17
relative error = 1.3269366852248195563176329633391e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0664640420920540554432135377435
y[1] (analytic) = 2.0862036093952061027883251333468
y[1] (numeric) = 2.0862036093952060751128810667706
absolute error = 2.76754440665762e-17
relative error = 1.3265936240326684737617134839612e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0674572942992414499534453271014
y[1] (analytic) = 2.0867546071194062304287691622815
y[1] (numeric) = 2.0867546071194062027531707044306
absolute error = 2.76755984578509e-17
relative error = 1.3262507418663278400086374933856e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.222
Order of pole = 0.7489
x[1] = 3.0684505465064288444636771164593
y[1] (analytic) = 2.0873055930210850405748671253449
y[1] (numeric) = 2.0873055930210850128991144775474
absolute error = 2.76757526477975e-17
relative error = 1.3259080385896293505537476796972e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.835
Order of pole = 0.6926
x[1] = 3.0694437987136162389739089058172
y[1] (analytic) = 2.0878565671053827745506095169311
y[1] (numeric) = 2.0878565671053827468747028802088
absolute error = 2.76759066367223e-17
relative error = 1.3255655140665312897804363036805e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
memory used=377.6MB, alloc=4.4MB, time=47.24
x[1] = 3.0704370509208036334841406951751
y[1] (analytic) = 2.0884075293774363220677251771872
y[1] (numeric) = 2.0884075293774362943916647522564
absolute error = 2.76760604249308e-17
relative error = 1.3252231681611087705910739552356e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.989
Order of pole = 0.7138
x[1] = 3.071430303127991027994372484533
y[1] (analytic) = 2.0889584798423792241388684675633
y[1] (numeric) = 2.088958479842379196462654454835
absolute error = 2.76762140127283e-17
relative error = 1.3248810007375822861064859929738e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 12.51
Order of pole = 4.245
x[1] = 3.0724235553351784225046042738909
y[1] (analytic) = 2.0895094185053416759876419932704
y[1] (numeric) = 2.0895094185053416483112745928511
absolute error = 2.76763674004193e-17
relative error = 1.3245390116602887864736940774196e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0734168075423658170148360632488
y[1] (analytic) = 2.0900603453714505299554589966216
y[1] (numeric) = 2.0900603453714505022789384083136
absolute error = 2.76765205883080e-17
relative error = 1.3241972007937054315049658381025e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0744100597495532115250678526067
y[1] (analytic) = 2.09061126044582929840524953896
y[1] (numeric) = 2.090611260445829270728575962262
absolute error = 2.76766735766980e-17
relative error = 1.3238555680024350394666827086167e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.652
Order of pole = 1.557
x[1] = 3.0754033119567406060352996419646
y[1] (analytic) = 2.09116216373359815662201458262
y[1] (numeric) = 2.0911621637335981289451882167278
absolute error = 2.76768263658922e-17
relative error = 1.3235141131512011229561723991134e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0763965641639280005455314313225
y[1] (analytic) = 2.0917130552398739457102320781222
y[1] (numeric) = 2.0917130552398739180332531219289
absolute error = 2.76769789561933e-17
relative error = 1.3231728361048716172720575281512e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.002
Order of pole = 0.5957
x[1] = 3.0773898163711153950557632206804
y[1] (analytic) = 2.0922639349697701754881191555637
y[1] (numeric) = 2.0922639349697701478109878076604
absolute error = 2.76771313479033e-17
relative error = 1.3228317367284347762081207720688e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0783830685783027895659950100383
y[1] (analytic) = 2.0928148029283970273787545129428
y[1] (numeric) = 2.0928148029283969997014709716193
absolute error = 2.76772835413235e-17
relative error = 1.3224908148869989972114137529753e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0793763207854901840762267993962
y[1] (analytic) = 2.0933656591208613572980650879414
y[1] (numeric) = 2.0933656591208613296206295511866
absolute error = 2.76774355367548e-17
relative error = 1.3221500704458069778310944369419e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.721
Order of pole = 0.5706
x[1] = 3.0803695729926775785864585887541
y[1] (analytic) = 2.0939165035522666985396810934845
y[1] (numeric) = 2.0939165035522666708620937589866
absolute error = 2.76775873344979e-17
relative error = 1.3218095032702450741086527236603e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.081362825199864973096690378112
y[1] (analytic) = 2.0944673362277132646566634912015
y[1] (numeric) = 2.094467336227713236978924556349
absolute error = 2.76777389348525e-17
relative error = 1.3214691132258048993915682034425e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0823560774070523676069221674699
y[1] (analytic) = 2.0950181571522979523401079707368
y[1] (numeric) = 2.0950181571522979246622176326187
absolute error = 2.76778903381181e-17
relative error = 1.3211289001781213554062449173527e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0833493296142397621171539568278
y[1] (analytic) = 2.0955689663311143442946294966791
y[1] (numeric) = 2.0955689663311143166165879520856
absolute error = 2.76780415445935e-17
relative error = 1.3207888639929485677195919383338e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0843425818214271566273857461857
y[1] (analytic) = 2.096119763769252712110731478723
y[1] (numeric) = 2.0961197637692526844325389241459
absolute error = 2.76781925545771e-17
relative error = 1.3204490045361740249269490611498e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0853358340286145511376175355436
y[1] (analytic) = 2.0966705494718000191340636145232
y[1] (numeric) = 2.0966705494717999914557202461565
absolute error = 2.76783433683667e-17
relative error = 1.3201093216738088482470696670072e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0863290862358019456478493249015
y[1] (analytic) = 2.0972213234438399233315724485638
y[1] (numeric) = 2.0972213234438398956530784623042
absolute error = 2.76784939862596e-17
relative error = 1.3197698152719923811180682756760e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.003
Order of pole = 0.5239
x[1] = 3.0873223384429893401580811142594
y[1] (analytic) = 2.0977720856904527801545486842358
y[1] (numeric) = 2.0977720856904527524759042756833
absolute error = 2.76786444085525e-17
relative error = 1.3194304851969872376650846074643e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0883155906501767346683129036173
y[1] (analytic) = 2.0983228362167156453985752801971
y[1] (numeric) = 2.0983228362167156177197806446552
absolute error = 2.76787946355419e-17
relative error = 1.3190913313151981875463709291198e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.361
Order of pole = 0.544
x[1] = 3.0893088428573641291785446929752
y[1] (analytic) = 2.0988735750277022780603803559817
y[1] (numeric) = 2.0988735750277022503814356884582
absolute error = 2.76789446675235e-17
relative error = 1.3187523534931433664892140703673e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0903020950645515236887764823331
y[1] (analytic) = 2.0994243021284831431915989257288
y[1] (numeric) = 2.0994243021284831155125044209362
absolute error = 2.76790945047926e-17
relative error = 1.3184135515974731642714676724952e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.091295347271738918199008271691
y[1] (analytic) = 2.0999750175241254147494474728142
y[1] (numeric) = 2.0999750175241253870702033251705
absolute error = 2.76792441476437e-17
relative error = 1.3180749254949509873164894594415e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0922885994789263127092400610489
y[1] (analytic) = 2.1005257212196929784443153720925
y[1] (numeric) = 2.1005257212196929507649217757212
absolute error = 2.76793935963713e-17
relative error = 1.3177364750524911801310929694088e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0932818516861137072194718504068
y[1] (analytic) = 2.1010764132202464345842771603897
y[1] (numeric) = 2.1010764132202464069047343091206
absolute error = 2.76795428512691e-17
relative error = 1.3173982001371207356902802789487e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0942751038933011017297036397647
y[1] (analytic) = 2.1016270935308431009165296498345
y[1] (numeric) = 2.1016270935308430732368377372042
absolute error = 2.76796919126303e-17
relative error = 1.3170601006159934064456645819013e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0952683561004884962399354291226
y[1] (analytic) = 2.10217776215653701546575787257
y[1] (numeric) = 2.1021777621565369877859170918225
absolute error = 2.76798407807475e-17
relative error = 1.3167221763563847652935043430566e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0962616083076758907501672184805
y[1] (analytic) = 2.1027284191023789393694338393542
y[1] (numeric) = 2.1027284191023789116894443834411
absolute error = 2.76799894559131e-17
relative error = 1.3163844272257110529584714933467e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0972548605148632852603990078384
y[1] (analytic) = 2.1032790643734163597100520885317
y[1] (numeric) = 2.1032790643734163320299141501129
absolute error = 2.76801379384188e-17
relative error = 1.3160468530915052054693491760544e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0982481127220506797706307971963
y[1] (analytic) = 2.1038296979746934923443059958495
y[1] (numeric) = 2.1038296979746934646640197672938
memory used=381.4MB, alloc=4.4MB, time=47.71
absolute error = 2.76802862285557e-17
relative error = 1.3157094538214214387260735295809e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.0992413649292380742808625865542
y[1] (analytic) = 2.1043803199112512847292088095848
y[1] (numeric) = 2.1043803199112512570487744829703
absolute error = 2.76804343266145e-17
relative error = 1.3153722292832445778868358449222e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1002346171364254687910943759121
y[1] (analytic) = 2.1049309301881274187451633694595
y[1] (numeric) = 2.1049309301881273910645811365741
absolute error = 2.76805822328854e-17
relative error = 1.3150351793448851198888334952113e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.10122786934361286330132616527
y[1] (analytic) = 2.1054815288103563135159844618353
y[1] (numeric) = 2.1054815288103562858352545141771
absolute error = 2.76807299476582e-17
relative error = 1.3146983038743838027567045127032e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.374
Order of pole = 0.5033
x[1] = 3.1022211215508002578115579546279
y[1] (analytic) = 2.1060321157829691282258777577105
y[1] (numeric) = 2.1060321157829691005450002864885
absolute error = 2.76808774712220e-17
relative error = 1.3143616027398971747062723431750e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1032143737579876523217897439858
y[1] (analytic) = 2.1065826911109937649333792740796
y[1] (numeric) = 2.1065826911109937372523544702141
absolute error = 2.76810248038655e-17
relative error = 1.3140250758097116680519668158740e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1042076259651750468320215333437
y[1] (analytic) = 2.1071332547994548713822592932636
y[1] (numeric) = 2.1071332547994548437010873473867
absolute error = 2.76811719458769e-17
relative error = 1.3136887229522386679375587196531e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.793
Order of pole = 0.5758
x[1] = 3.1052008781723624413422533227016
y[1] (analytic) = 2.1076838068533738438093946688788
y[1] (numeric) = 2.1076838068533738161280757713347
absolute error = 2.76813188975441e-17
relative error = 1.3133525440360238224552412169032e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1061941303795498358524851120595
y[1] (analytic) = 2.1082343472777688297496134411812
y[1] (numeric) = 2.1082343472777688020681477820271
absolute error = 2.76814656591541e-17
relative error = 1.3130165389297183917569503306014e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.746
Order of pole = 0.8307
x[1] = 3.1071873825867372303627169014174
y[1] (analytic) = 2.1087848760776547308375156786042
y[1] (numeric) = 2.1087848760776547031559034476106
absolute error = 2.76816122309936e-17
relative error = 1.3126807075021075468787287482812e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.384
Order of pole = 0.9527
x[1] = 3.1081806347939246248729486907753
y[1] (analytic) = 2.1093353932580432056062744563944
y[1] (numeric) = 2.1093353932580431779245158430456
absolute error = 2.76817586133488e-17
relative error = 1.3123450496221006976361809027815e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1091738870011120193831804801332
y[1] (analytic) = 2.1098858988239426722834208773527
y[1] (numeric) = 2.1098858988239426446015160708471
absolute error = 2.76819048065056e-17
relative error = 1.3120095651587407940586643533912e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1101671392082994138934122694911
y[1] (analytic) = 2.1104363927803583115836170337961
y[1] (numeric) = 2.1104363927803582839015662230469
absolute error = 2.76820508107492e-17
relative error = 1.3116742539811851831521780672942e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.564
Order of pole = 0.99
x[1] = 3.111160391415486808403644058849
y[1] (analytic) = 2.1109868751322920694984208039782
y[1] (numeric) = 2.110986875132292041816224177614
absolute error = 2.76821966263642e-17
relative error = 1.3113391159587101812443019642591e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.333
Order of pole = 0.7613
x[1] = 3.1121536436226742029138758482069
y[1] (analytic) = 2.111537345884742660083046370334
y[1] (numeric) = 2.1115373458847426324007041166992
absolute error = 2.76823422536348e-17
relative error = 1.3110041509607203750872313194153e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.429
Order of pole = 1.193
x[1] = 3.1131468958298615974241076375648
y[1] (analytic) = 2.1120878050427055682401243410573
y[1] (numeric) = 2.1120878050427055405576366482122
absolute error = 2.76824876928451e-17
relative error = 1.3106693588567626430924364456269e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1141401480370489919343394269227
y[1] (analytic) = 2.112638252611173052500465350667
y[1] (numeric) = 2.1126382526111730248178324063888
absolute error = 2.76826329442782e-17
relative error = 1.3103347395164833536547688759431e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1151334002442363864445712162806
y[1] (analytic) = 2.1131886885951341478008310093832
y[1] (numeric) = 2.1131886885951341201180530011666
absolute error = 2.76827780082166e-17
relative error = 1.3100002928096471488020247976757e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.488
Order of pole = 1.207
x[1] = 3.1161266524514237809548030056385
y[1] (analytic) = 2.1137391129995746682587160653016
y[1] (numeric) = 2.1137391129995746405757931803587
absolute error = 2.76829228849429e-17
relative error = 1.3096660186061698913777890432873e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1171199046586111754650347949964
y[1] (analytic) = 2.1142895258294772099441456375345
y[1] (numeric) = 2.1142895258294771822610780627954
absolute error = 2.76830675747391e-17
relative error = 1.3093319167760853446888984766799e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1181131568657985699752665843543
y[1] (analytic) = 2.1148399270898211536484913726807
y[1] (numeric) = 2.1148399270898211259652792947945
absolute error = 2.76832120778862e-17
relative error = 1.3089979871895260896817197434879e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1191064090729859644854983737122
y[1] (analytic) = 2.1153903167855826676503103711866
y[1] (numeric) = 2.1153903167855826399669539765216
absolute error = 2.76833563946650e-17
relative error = 1.3086642297167611990526707893185e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1200996612801733589957301630701
y[1] (analytic) = 2.1159406949217347104782107243688
y[1] (numeric) = 2.1159406949217346827947101990127
absolute error = 2.76835005253561e-17
relative error = 1.3083306442281960443417573404613e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.121092913487360753505961952428
y[1] (analytic) = 2.1164910615032470336707474970916
y[1] (numeric) = 2.1164910615032470059871030268523
absolute error = 2.76836444702393e-17
relative error = 1.3079972305943437545441368676396e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1220861656945481480161937417859
y[1] (analytic) = 2.1170414165350861845333529853233
y[1] (numeric) = 2.1170414165350861568495647557293
absolute error = 2.76837882295940e-17
relative error = 1.3076639886858439549972536253564e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1230794179017355425264255311438
y[1] (analytic) = 2.1175917600222155088923050720349
y[1] (numeric) = 2.1175917600222154812083732683359
absolute error = 2.76839318036990e-17
relative error = 1.3073309183734531429975384846706e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1240726701089229370366573205017
y[1] (analytic) = 2.1181420919695951538457374991561
y[1] (numeric) = 2.1181420919695951261616623063233
absolute error = 2.76840751928328e-17
relative error = 1.3069980195280586840383116280839e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.879
Order of pole = 0.6938
x[1] = 3.1250659223161103315468891098596
y[1] (analytic) = 2.118692412382182070511695867562
y[1] (numeric) = 2.1186924123821820428274774702884
absolute error = 2.76842183972736e-17
relative error = 1.3066652920206786265819539497527e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1260591745232977260571208992175
y[1] (analytic) = 2.119242721264930016773243171336
y[1] (numeric) = 2.1192427212649299890888817540375
absolute error = 2.76843614172985e-17
relative error = 1.3063327357224237678123050786898e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=385.2MB, alloc=4.4MB, time=48.19
NO POLE
x[1] = 3.1270524267304851205673526885754
y[1] (analytic) = 2.119793018622789560020618666835
y[1] (numeric) = 2.1197930186227895323361144136503
absolute error = 2.76845042531847e-17
relative error = 1.3060003505045541273324898605402e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1280456789376725150775844779333
y[1] (analytic) = 2.1203433044607080798904538713688
y[1] (numeric) = 2.1203433044607080522058069661601
absolute error = 2.76846469052087e-17
relative error = 1.3056681362384410085978418098363e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1290389311448599095878162672912
y[1] (analytic) = 2.1208935787836297710020494806103
y[1] (numeric) = 2.1208935787836297433172601069636
absolute error = 2.76847893736467e-17
relative error = 1.3053360927955856993602934883267e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1300321833520473040980480566491
y[1] (analytic) = 2.1214438415964956456907169881586
y[1] (numeric) = 2.1214438415964956180057853293844
absolute error = 2.76849316587742e-17
relative error = 1.3050042200476004328665120976396e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.312
Order of pole = 1.158
x[1] = 3.131025435559234698608279846007
y[1] (analytic) = 2.1219940929042435367381887849989
y[1] (numeric) = 2.1219940929042435090531150241327
absolute error = 2.76850737608662e-17
relative error = 1.3046725178662176539931354120012e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1320186877664220931185116353649
y[1] (analytic) = 2.1225443327118081001001005109304
y[1] (numeric) = 2.1225443327118080724148848307331
absolute error = 2.76852156801973e-17
relative error = 1.3043409861232945596657088501300e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1330119399736094876287434247228
y[1] (analytic) = 2.1230945610241208176305494243727
y[1] (numeric) = 2.1230945610241207899451920073307
absolute error = 2.76853574170420e-17
relative error = 1.3040096246908270524528706382305e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 9.436
Order of pole = 2.574
x[1] = 3.1340051921807968821389752140807
y[1] (analytic) = 2.1236447778461099998037325513081
y[1] (numeric) = 2.1236447778461099721182335796343
absolute error = 2.76854989716738e-17
relative error = 1.3036784334409071658678741816403e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1359916965951716711594387927965
y[1] (analytic) = 2.1247451770388151593850057703256
y[1] (numeric) = 2.1247451770388151316992242349347
absolute error = 2.76857815353909e-17
relative error = 1.3030165609777088127986597341359e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1369849488023590656696705821544
y[1] (analytic) = 2.1252953594193719252959240635164
y[1] (numeric) = 2.1252953594193718976100015184949
absolute error = 2.76859225450215e-17
relative error = 1.3026858795092490081772168821579e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1379782010095464601799023715123
y[1] (analytic) = 2.1258455303292867382781277273369
y[1] (numeric) = 2.1258455303292867105920643538077
absolute error = 2.76860633735292e-17
relative error = 1.3023553677129455633057179354327e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1389714532167338546901341608702
y[1] (analytic) = 2.1263956897734720926289396725668
y[1] (numeric) = 2.1263956897734720649427356513813
absolute error = 2.76862040211855e-17
relative error = 1.3020250254615099433175334308514e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1399647054239212492003659502281
y[1] (analytic) = 2.1269458377568373275344967259046
y[1] (numeric) = 2.1269458377568372998481522376433
absolute error = 2.76863444882613e-17
relative error = 1.3016948526277675713430919061391e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.479
Order of pole = 0.7811
x[1] = 3.140957957631108643710597739586
y[1] (analytic) = 2.1274959742842886297710510614058
y[1] (numeric) = 2.1274959742842886020845662863788
absolute error = 2.76864847750270e-17
relative error = 1.3013648490846623666614330724421e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1419512098382960382208295289439
y[1] (analytic) = 2.1280460993607290364033812948272
y[1] (numeric) = 2.1280460993607290087167564130746
absolute error = 2.76866248817526e-17
relative error = 1.3010350147052612758358822033170e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1429444620454834327310613183018
y[1] (analytic) = 2.128596212991058437480316951205
y[1] (numeric) = 2.1285962129910584097935521424975
absolute error = 2.76867648087075e-17
relative error = 1.3007053493627447030513969836670e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1439377142526708272412931076597
y[1] (analytic) = 2.1291463151801735787273800104392
y[1] (numeric) = 2.1291463151801735510404754542783
absolute error = 2.76869045561609e-17
relative error = 1.3003758529304251356191348065128e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1449309664598582217515248970176
y[1] (analytic) = 2.1296964059329680642365472301092
y[1] (numeric) = 2.1296964059329680365495031057279
absolute error = 2.76870441243813e-17
relative error = 1.3000465252817234810942271298484e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1459242186670456162617566863755
y[1] (analytic) = 2.1302464852543323591531369392113
y[1] (numeric) = 2.1302464852543323314659534255744
absolute error = 2.76871835136369e-17
relative error = 1.2997173662901876897119324419443e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1469174708742330107719884757334
y[1] (analytic) = 2.1307965531491537923598239909798
y[1] (numeric) = 2.1307965531491537646725012667845
absolute error = 2.76873227241953e-17
relative error = 1.2993883758294784964375531471259e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1479107230814204052822202650913
y[1] (analytic) = 2.1313466096223165591577865574359
y[1] (numeric) = 2.1313466096223165314703248011122
absolute error = 2.76874617563237e-17
relative error = 1.2990595537733786444655663236978e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1489039752886077997924520544492
y[1] (analytic) = 2.131896654678701723944988442802
y[1] (numeric) = 2.1318966546787016962573878325131
absolute error = 2.76876006102889e-17
relative error = 1.2987308999957927131453854714064e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1498972274957951943026838438071
y[1] (analytic) = 2.132446688323187222891600587417
y[1] (numeric) = 2.1324466883231871952038613010597
absolute error = 2.76877392863573e-17
relative error = 1.2984024143707469461969353866618e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.150890479702982588812915633165
y[1] (analytic) = 2.1329967105606478666125654283023
y[1] (numeric) = 2.1329967105606478389246876435077
absolute error = 2.76878777847946e-17
relative error = 1.2980740967723750154961725865732e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1518837319101699833231474225229
y[1] (analytic) = 2.1335467213959553428373077770466
y[1] (numeric) = 2.1335467213959553151492916711805
absolute error = 2.76880161058661e-17
relative error = 1.2977459470749319290909583293224e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.063
Order of pole = 0.5984
x[1] = 3.1528769841173573778333792118808
y[1] (analytic) = 2.1340967208339782190765958702056
y[1] (numeric) = 2.1340967208339781913884416203685
absolute error = 2.76881542498371e-17
relative error = 1.2974179651528126035561670438181e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.694
Order of pole = 0.5663
x[1] = 3.1538702363245447723436110012387
y[1] (analytic) = 2.1346467088795819452865562419528
y[1] (numeric) = 2.1346467088795819175982640249809
absolute error = 2.76882922169719e-17
relative error = 1.2970901508805048230381422095538e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=389.1MB, alloc=4.4MB, time=48.65
NO POLE
x[1] = 3.1548634885317321668538427905966
y[1] (analytic) = 2.1351966855376288565298460632665
y[1] (numeric) = 2.1351966855376288288414160557321
absolute error = 2.76884300075344e-17
relative error = 1.2967625041326172055725167218850e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.436
Order of pole = 1.182
x[1] = 3.1558567407389195613640745799545
y[1] (analytic) = 2.135746650812978175633986586494
y[1] (numeric) = 2.1357466508129781479454189647057
absolute error = 2.76885676217883e-17
relative error = 1.2964350247838883974010645060842e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1568499929461069558743063693124
y[1] (analytic) = 2.1362966047104860158468613286988
y[1] (numeric) = 2.136296604710485988158156268702
absolute error = 2.76887050599968e-17
relative error = 1.2961077127091728481205184883920e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1578432451532943503845381586703
y[1] (analytic) = 2.136846547235005383489382621777
y[1] (numeric) = 2.1368465472350053558005402993545
absolute error = 2.76888423224225e-17
relative error = 1.2957805677834359674073328195400e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1588364973604817448947699480282
y[1] (analytic) = 2.13739647839138618060533015191
y[1] (numeric) = 2.1373964783913861529163507425824
absolute error = 2.76889794093276e-17
relative error = 1.2954535898817633250094243311488e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1598297495676691394050017373861
y[1] (analytic) = 2.1379463981844752076083651055174
y[1] (numeric) = 2.1379463981844751799192487845435
absolute error = 2.76891163209739e-17
relative error = 1.2951267788793604817902814454017e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.160823001774856533915233526744
y[1] (analytic) = 2.1384963066191161659262235334761
y[1] (numeric) = 2.1384963066191161382369704758531
absolute error = 2.76892530576230e-17
relative error = 1.2948001346515621734226960409204e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1618162539820439284254653161019
y[1] (analytic) = 2.1390462037001496606420925399843
y[1] (numeric) = 2.1390462037001496329527029204488
absolute error = 2.76893896195355e-17
relative error = 1.2944736570737947301317147595877e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1628095061892313229356971054598
y[1] (analytic) = 2.1395960894324132031331728970736
y[1] (numeric) = 2.1395960894324131754436468901017
absolute error = 2.76895260069719e-17
relative error = 1.2941473460216180086598099489810e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.23
Order of pole = 0.5348
x[1] = 3.1638027583964187174459288948177
y[1] (analytic) = 2.1401459638207412137064316803996
y[1] (numeric) = 2.1401459638207411860167694602072
absolute error = 2.76896622201924e-17
relative error = 1.2938212013707158612470233255491e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1647960106036061119561606841756
y[1] (analytic) = 2.1406958268699650242315485165837
y[1] (numeric) = 2.1406958268699649965417502571273
absolute error = 2.76897982594564e-17
relative error = 1.2934952229968726051891379135191e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1657892628107935064663924735335
y[1] (analytic) = 2.1412456785849128807710590270292
y[1] (numeric) = 2.141245678584912853081124902006
absolute error = 2.76899341250232e-17
relative error = 1.2931694107760055708180131579558e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1667825150179809009766242628914
y[1] (analytic) = 2.1417955189704099462076990477903
y[1] (numeric) = 2.1417955189704099185176292306391
absolute error = 2.76900698171512e-17
relative error = 1.2928437645841275646720994019111e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1677757672251682954868560522493
y[1] (analytic) = 2.142345348031278302868953199744
y[1] (numeric) = 2.1423453480312782751787478636452
absolute error = 2.76902053360988e-17
relative error = 1.2925182842973887427789660540874e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1687690194323556899970878416072
y[1] (analytic) = 2.1428951657723369551488113779872
y[1] (numeric) = 2.1428951657723369274584706958633
absolute error = 2.76903406821239e-17
relative error = 1.2921929697920530873222189191318e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1697622716395430845073196309651
y[1] (analytic) = 2.1434449721984018321267367240702
y[1] (numeric) = 2.1434449721984018044362608685864
absolute error = 2.76904758554838e-17
relative error = 1.2918678209444935810831897613291e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.170755523846730479017551420323
y[1] (analytic) = 2.1439947673142857901838486393726
y[1] (numeric) = 2.1439947673142857624932377829372
absolute error = 2.76906108564354e-17
relative error = 1.2915428376312013819009418093651e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.036
Order of pole = 1.335
x[1] = 3.1717487760539178735277832096809
y[1] (analytic) = 2.1445445511247986156163243926284
y[1] (numeric) = 2.1445445511247985879255787073933
absolute error = 2.76907456852351e-17
relative error = 1.2912180197287809940577897066700e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1727420282611052680380149990388
y[1] (analytic) = 2.1450943236347470272460228693234
y[1] (numeric) = 2.1450943236347469995551425271841
absolute error = 2.76908803421393e-17
relative error = 1.2908933671139734179105356350600e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.528
Order of pole = 0.785
x[1] = 3.1737352804682926625482467883967
y[1] (analytic) = 2.1456440848489346790283340054064
y[1] (numeric) = 2.1456440848489346513373191780031
absolute error = 2.76910148274033e-17
relative error = 1.2905688796636046942717556204311e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1747285326754800570584785777546
y[1] (analytic) = 2.1461938347721621626572574424908
y[1] (numeric) = 2.1461938347721621349661083012084
absolute error = 2.76911491412824e-17
relative error = 1.2902445572546370349480296963151e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.156
Order of pole = 0.728
x[1] = 3.1757217848826674515687103671125
y[1] (analytic) = 2.1467435734092270101677139364575
y[1] (numeric) = 2.1467435734092269824764306524263
absolute error = 2.76912832840312e-17
relative error = 1.2899203997641360268090949493922e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.828
Order of pole = 0.5764
x[1] = 3.1767150370898548460789421564704
y[1] (analytic) = 2.1472933007649236965350930461234
y[1] (numeric) = 2.1472933007649236688436757902191
absolute error = 2.76914172559043e-17
relative error = 1.2895964070693030846164210947068e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1777082892970422405891739458283
y[1] (analytic) = 2.1478430168440436422720406233938
y[1] (numeric) = 2.1478430168440436145804895662383
absolute error = 2.76915510571555e-17
relative error = 1.2892725790474380165311546258878e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1787015415042296350994057351862
y[1] (analytic) = 2.1483927216513752160224896210864
y[1] (numeric) = 2.1483927216513751883308049330483
absolute error = 2.76916846880381e-17
relative error = 1.2889489155759528481826205072114e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1796947937114170296096375245441
y[1] (analytic) = 2.1489424151917037371529377293883
y[1] (numeric) = 2.148942415191703709461119580583
absolute error = 2.76918181488053e-17
relative error = 1.2886254165323902789924129989952e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.332
Order of pole = 1.149
x[1] = 3.180688045918604424119869313902
y[1] (analytic) = 2.1494920974698114783409753466903
y[1] (numeric) = 2.1494920974698114506490239069806
absolute error = 2.76919514397097e-17
relative error = 1.2883020817944002398453185297815e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1816812981257918186301011032599
y[1] (analytic) = 2.1500417684904776681610673853396
y[1] (numeric) = 2.1500417684904776404689828243361
absolute error = 2.76920845610035e-17
relative error = 1.2879789112397490442494964145577e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.905
Order of pole = 0.6925
memory used=392.9MB, alloc=4.4MB, time=49.13
x[1] = 3.1826745503329792131403328926178
y[1] (analytic) = 2.15059142825847849366759240765
y[1] (numeric) = 2.1505914282584784659753748947118
absolute error = 2.76922175129382e-17
relative error = 1.2876559047463052760661306603377e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1836678025401666076505646819757
y[1] (analytic) = 2.151141076778587102975142582323
y[1] (numeric) = 2.1511410767785870752827922865577
absolute error = 2.76923502957653e-17
relative error = 1.2873330621920721858521916220742e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1846610547473540021607964713336
y[1] (analytic) = 2.1516907140555736078360879462484
y[1] (numeric) = 2.1516907140555735801436050365126
absolute error = 2.76924829097358e-17
relative error = 1.2870103834551642674742191272828e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1856543069545413966710282606915
y[1] (analytic) = 2.1522403400942050862154084514855
y[1] (numeric) = 2.1522403400942050585227930963854
absolute error = 2.76926153551001e-17
relative error = 1.2866878684138024559207721265799e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.8125
Order of pole = 0.515
x[1] = 3.1866475591617287911812600500494
y[1] (analytic) = 2.1527899548992455848627972720611
y[1] (numeric) = 2.152789954899245557170049639953
absolute error = 2.76927476321081e-17
relative error = 1.2863655169463186227625220302979e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1876408113689161856914918394073
y[1] (analytic) = 2.1533395584754561218820388400668
y[1] (numeric) = 2.1533395584754560941891590990573
absolute error = 2.76928797410095e-17
relative error = 1.2860433289311693526479668087117e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1886340635761035802017236287652
y[1] (analytic) = 2.1538891508275946892976650753914
y[1] (numeric) = 2.1538891508275946616046533933378
absolute error = 2.76930116820536e-17
relative error = 1.2857213042469264849067911259763e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.585
Order of pole = 1.486
x[1] = 3.1896273157832909747119554181231
y[1] (analytic) = 2.1544387319604162556188932682888
y[1] (numeric) = 2.1544387319604162279257498127998
absolute error = 2.76931434554890e-17
relative error = 1.2853994427722630280721829738170e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.190620567990478369222187207481
y[1] (analytic) = 2.1549883018786727684008490688552
y[1] (numeric) = 2.1549883018786727407075740072911
absolute error = 2.76932750615641e-17
relative error = 1.2850777443859762191488832578561e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1916138201976657637324189968389
y[1] (analytic) = 2.1555378605871131568030780323662
y[1] (numeric) = 2.1555378605871131291096715318394
absolute error = 2.76934065005268e-17
relative error = 1.2847562089669734339210563618099e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1926070724048531582426507861968
y[1] (analytic) = 2.156087408090483334145349164317
y[1] (numeric) = 2.1560874080904833064518113916922
absolute error = 2.76935377726248e-17
relative error = 1.2844348363942859470150984430197e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 26.26
Order of pole = 16.16
x[1] = 3.1936003246120405527528825755547
y[1] (analytic) = 2.1566369443935262004607539039054
y[1] (numeric) = 2.1566369443935261727670850258003
absolute error = 2.76936688781051e-17
relative error = 1.2841136265470455761538051750539e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.278
Order of pole = 0.5018
x[1] = 3.1945935768192279472631143649126
y[1] (analytic) = 2.1571864695009816450461039796052
y[1] (numeric) = 2.1571864695009816173523041623909
absolute error = 2.76937998172143e-17
relative error = 1.2837925793044984474738291458248e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.767
Order of pole = 0.8219
x[1] = 3.1955868290264153417733461542705
y[1] (analytic) = 2.1577359834175865490096315653912
y[1] (numeric) = 2.1577359834175865213157009751926
absolute error = 2.76939305901986e-17
relative error = 1.2834716945460048363678745200265e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1965800812336027362835779436284
y[1] (analytic) = 2.158285486148074787815995161102
y[1] (numeric) = 2.158285486148074760121933963798
absolute error = 2.76940611973040e-17
relative error = 1.2831509721510482752061863286716e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1975733334407901307938097329863
y[1] (analytic) = 2.1588349776971772338285946153586
y[1] (numeric) = 2.1588349776971772061344029765827
absolute error = 2.76941916387759e-17
relative error = 1.2828304119992168544021091351255e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.283
Order of pole = 0.6181
x[1] = 3.1985665856479775253040415223442
y[1] (analytic) = 2.1593844580696217588491987043987
y[1] (numeric) = 2.1593844580696217311548767895395
absolute error = 2.76943219148592e-17
relative error = 1.2825100139702077067953425723813e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.1995598378551649198142733117021
y[1] (analytic) = 2.1599339272701332366548886751355
y[1] (numeric) = 2.1599339272701332089604366493369
absolute error = 2.76944520257986e-17
relative error = 1.2821897779438407447535858389251e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.20055309006235231432450510106
y[1] (analytic) = 2.1604833853034335455323211557076
y[1] (numeric) = 2.1604833853034335178377391838692
absolute error = 2.76945819718384e-17
relative error = 1.2818697038000492333642661768271e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2015463422695397088347368904179
y[1] (analytic) = 2.1610328321742415708093138317534
y[1] (numeric) = 2.1610328321742415431146020785313
absolute error = 2.76947117532221e-17
relative error = 1.2815497914188611231950173064314e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2025395944767271033449686797758
y[1] (analytic) = 2.1615822678872732073837572816206
y[1] (numeric) = 2.1615822678872731796889159114274
absolute error = 2.76948413701932e-17
relative error = 1.2812300406804359264338134930919e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2035328466839144978552004691337
y[1] (analytic) = 2.1621316924472413622498563587008
y[1] (numeric) = 2.1621316924472413345548855357062
absolute error = 2.76949708229946e-17
relative error = 1.2809104514650367859122516535703e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2045260988911018923654322584916
y[1] (analytic) = 2.1626811058588559570217045040754
y[1] (numeric) = 2.1626811058588559293266043922065
absolute error = 2.76951001118689e-17
relative error = 1.2805910236530442017372970450314e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.577
Order of pole = 0.9732
x[1] = 3.2055193510982892868756640478495
y[1] (analytic) = 2.1632305081268239304541943676567
y[1] (numeric) = 2.1632305081268239027589651305984
absolute error = 2.76952292370583e-17
relative error = 1.2802717571249512461627672092479e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 12.37
Order of pole = 3.958
x[1] = 3.2065126033054766813858958372074
y[1] (analytic) = 2.1637798992558492409612681110195
y[1] (numeric) = 2.1637798992558492132659099122152
absolute error = 2.76953581988043e-17
relative error = 1.2799526517613495426877040188162e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2075058555126640758961276265653
y[1] (analytic) = 2.164329279250632869131510760134
y[1] (numeric) = 2.1643292792506328414360237627858
absolute error = 2.76954869973482e-17
relative error = 1.2796337074429522294819819915840e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2084991077198514704063594159232
y[1] (analytic) = 2.1648786481158728202410899712376
y[1] (numeric) = 2.1648786481158727925454743383063
absolute error = 2.76956156329313e-17
relative error = 1.2793149240506030302783700446649e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2094923599270388649165912052811
y[1] (analytic) = 2.1654280058562641267640455681156
y[1] (numeric) = 2.1654280058562640990683014623218
absolute error = 2.76957441057938e-17
relative error = 1.2789963014652252771578221566829e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
memory used=396.7MB, alloc=4.4MB, time=49.61
x[1] = 3.210485612134226259426822994639
y[1] (analytic) = 2.1659773524764988508799322041084
y[1] (numeric) = 2.1659773524764988231840597879327
absolute error = 2.76958724161757e-17
relative error = 1.2786778395678633480006391165650e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2114788643414136539370547839969
y[1] (analytic) = 2.1665266879812660869788184972069
y[1] (numeric) = 2.1665266879812660592828179328902
absolute error = 2.76960005643167e-17
relative error = 1.2783595382396778840876110522015e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2124721165486010484472865733548
y[1] (analytic) = 2.1670760123752519641636459816627
y[1] (numeric) = 2.1670760123752519364675174312063
absolute error = 2.76961285504564e-17
relative error = 1.2780413973619548585347340743757e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.867
Order of pole = 0.685
x[1] = 3.2134653687557884429575183627127
y[1] (analytic) = 2.1676253256631396487499512146032
y[1] (numeric) = 2.1676253256631396210536948397697
absolute error = 2.76962563748335e-17
relative error = 1.2777234168160684975264370596142e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2144586209629758374677501520706
y[1] (analytic) = 2.168174627849609346762954371222
y[1] (numeric) = 2.1681746278496093190665703335358
absolute error = 2.76963840376862e-17
relative error = 1.2774055964834996040290401470366e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2154518731701632319779819414285
y[1] (analytic) = 2.1687239189393383064320176571963
y[1] (numeric) = 2.1687239189393382787355061179432
absolute error = 2.76965115392531e-17
relative error = 1.2770879362458769087094272765971e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2164451253773506264882137307864
y[1] (analytic) = 2.1692731989370008206824768620733
y[1] (numeric) = 2.1692731989370007929858379823017
absolute error = 2.76966388797716e-17
relative error = 1.2767704359849031120786575982131e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2174383775845380209984455201443
y[1] (analytic) = 2.1698224678472682296248493724758
y[1] (numeric) = 2.1698224678472682019280833129968
absolute error = 2.76967660594790e-17
relative error = 1.2764530955824054731325337850553e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2184316297917254155086773095022
y[1] (analytic) = 2.170371725674808923041421959078
y[1] (numeric) = 2.1703717256748088953445288804661
absolute error = 2.76968930786119e-17
relative error = 1.2761359149203079935987220264610e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2194248819989128100189090988601
y[1] (analytic) = 2.1709209724242883428702216464264
y[1] (numeric) = 2.1709209724242883151732017090192
absolute error = 2.76970199374072e-17
relative error = 1.2758188938806773458692480882761e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.220418134206100204529140888218
y[1] (analytic) = 2.1714702081003689856863729698
y[1] (numeric) = 2.1714702081003689579892263336991
absolute error = 2.76971466361009e-17
relative error = 1.2755020323456674174055986285216e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2214113864132875990393726775759
y[1] (analytic) = 2.172019432707710405180844918444
y[1] (numeric) = 2.1720194327077103774835717435154
absolute error = 2.76972731749286e-17
relative error = 1.2751853301975422074793057778222e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2224046386204749935496044669338
y[1] (analytic) = 2.1725686462509692146365908596485
y[1] (numeric) = 2.172568646250969186939191305523
absolute error = 2.76973995541255e-17
relative error = 1.2748687873186756749696409735786e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2233978908276623880598362562917
y[1] (analytic) = 2.1731178487347990894020847332967
y[1] (numeric) = 2.1731178487347990617045589593702
absolute error = 2.76975257739265e-17
relative error = 1.2745524035915561880957346596806e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2243911430348497825700680456496
y[1] (analytic) = 2.173667040163850769362256801662
y[1] (numeric) = 2.1736670401638507416646049670957
absolute error = 2.76976518345663e-17
relative error = 1.2742361788987909674235161628469e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.944
Order of pole = 1.048
x[1] = 3.2253843952420371770802998350075
y[1] (analytic) = 2.1742162205427720614068322344036
y[1] (numeric) = 2.1742162205427720337090544981247
absolute error = 2.76977777362789e-17
relative error = 1.2739201131230829260084166640533e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.297
Order of pole = 0.6181
x[1] = 3.2263776474492245715905316243654
y[1] (analytic) = 2.1747653898762078418960758038822
y[1] (numeric) = 2.1747653898762078141981723245843
absolute error = 2.76979034792979e-17
relative error = 1.2736042061472443302259847599874e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2273708996564119661007634137233
y[1] (analytic) = 2.1753145481688000591239459611014
y[1] (numeric) = 2.1753145481688000314259168972448
absolute error = 2.76980290638566e-17
relative error = 1.2732884578542012458569613973057e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.126
Order of pole = 0.7186
x[1] = 3.2283641518635993606109952030812
y[1] (analytic) = 2.1758636954251877357786615577696
y[1] (numeric) = 2.1758636954251877080805070675813
absolute error = 2.76981544901883e-17
relative error = 1.2729728681270071692121362836102e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2293574040707867551212269924391
y[1] (analytic) = 2.176412831650006971400684475176
y[1] (numeric) = 2.1764128316500069437024047166509
absolute error = 2.76982797585251e-17
relative error = 1.2726574368487877168940296667260e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.230350656277974149631458781797
y[1] (analytic) = 2.1769619568478909448381214157856
y[1] (numeric) = 2.1769619568478909171397165466864
absolute error = 2.76984048690992e-17
relative error = 1.2723421639028002382284510469374e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2313439084851615441416905711549
y[1] (analytic) = 2.1775110710234699166995481086652
y[1] (numeric) = 2.1775110710234698890010182865228
absolute error = 2.76985298221424e-17
relative error = 1.2720270491724106743319292797921e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2323371606923489386519223605128
y[1] (analytic) = 2.1780601741813712318042591750821
y[1] (numeric) = 2.1780601741813712041056045571958
absolute error = 2.76986546178863e-17
relative error = 1.2717120925411025908944645100990e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2333304128995363331621541498707
y[1] (analytic) = 2.1786092663262193216299468958443
y[1] (numeric) = 2.1786092663262192939311676392827
absolute error = 2.76987792565616e-17
relative error = 1.2713972938924448865647376730668e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.719
Order of pole = 1.23
x[1] = 3.2343236651067237276723859392286
y[1] (analytic) = 2.179158347462635706757812117193
y[1] (numeric) = 2.1791583474626356790589083787941
absolute error = 2.76989037383989e-17
relative error = 1.2710826531101283840897500519247e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.826
Order of pole = 0.8266
x[1] = 3.2353169173139111221826177285865
y[1] (analytic) = 2.1797074175952389993151105273017
y[1] (numeric) = 2.1797074175952389716160824636733
absolute error = 2.76990280636284e-17
relative error = 1.2707681700779519006799368662779e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2363101695210985166928495179444
y[1] (analytic) = 2.1802564767286449054151375306942
y[1] (numeric) = 2.180256476728644877715985298214
absolute error = 2.76991522324802e-17
relative error = 1.2704538446798358591408964002359e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2373034217282859112030813073023
y[1] (analytic) = 2.1808055248674662275946549431536
y[1] (numeric) = 2.1808055248674661998953786979702
absolute error = 2.76992762451834e-17
relative error = 1.2701396767997808529249671103556e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.644
Order of pole = 0.6557
x[1] = 3.2382966739354733057133130966602
y[1] (analytic) = 2.18135456201631286724876272497
y[1] (numeric) = 2.181354562016312839549362623003
absolute error = 2.76994001019670e-17
relative error = 1.2698256663219087913119458429932e-15 %
memory used=400.5MB, alloc=4.4MB, time=50.09
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2392899261426607002235448860181
y[1] (analytic) = 2.1819035881797918270632189656482
y[1] (numeric) = 2.1819035881797917993636951625883
absolute error = 2.76995238030599e-17
relative error = 1.2695118131304627341026831346757e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.240283178349848094733776675376
y[1] (analytic) = 2.1824526033625072134442113284854
y[1] (numeric) = 2.182452603362507185744563979795
absolute error = 2.76996473486904e-17
relative error = 1.2691981171097838165779825056330e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2412764305570354892440084647339
y[1] (analytic) = 2.183001607569060238945583158725
y[1] (numeric) = 2.1830016075690602112458124196388
absolute error = 2.76997707390862e-17
relative error = 1.2688845781443111135404825342959e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2422696827642228837542402540918
y[1] (analytic) = 2.183550600804049224693517454294
y[1] (numeric) = 2.1835506008040491969936234798192
absolute error = 2.76998939744748e-17
relative error = 1.2685711961185998223683535130055e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2432629349714102782644720434497
y[1] (analytic) = 2.1840995830720696028086818934398
y[1] (numeric) = 2.1840995830720695751086648383563
absolute error = 2.77000170550835e-17
relative error = 1.2682579709173211044823700402685e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.365
Order of pole = 0.9235
x[1] = 3.2442561871785976727747038328076
y[1] (analytic) = 2.1846485543777139188258381089036
y[1] (numeric) = 2.1846485543777138911256981277645
absolute error = 2.77001399811391e-17
relative error = 1.2679449024252481948864140194214e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.165
Order of pole = 0.6041
x[1] = 3.2452494393857850672849356221655
y[1] (analytic) = 2.1851975147255718341109183935921
y[1] (numeric) = 2.1851975147255718064106556407244
absolute error = 2.77002627528677e-17
relative error = 1.2676319905272471089107558741993e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 13.96
Order of pole = 4.826
x[1] = 3.2462426915929724617951674115234
y[1] (analytic) = 2.1857464641202301282755730180433
y[1] (numeric) = 2.1857464641202301005751876475479
absolute error = 2.77003853704954e-17
relative error = 1.2673192351083085388428778828706e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.032
Order of pole = 0.5916
x[1] = 3.2472359438001598563053992008813
y[1] (analytic) = 2.1862954025662727015891913353232
y[1] (numeric) = 2.1862954025662726738886835010753
absolute error = 2.77005078342479e-17
relative error = 1.2670066360535293891042700919010e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.716
Order of pole = 0.5653
x[1] = 3.2482291960073472508156309902392
y[1] (analytic) = 2.1868443300682805773883998443406
y[1] (numeric) = 2.1868443300682805496877696999902
absolute error = 2.77006301443504e-17
relative error = 1.2666941932481080576551536478960e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2492224482145346453258627795971
y[1] (analytic) = 2.1873932466308319044840403779247
y[1] (numeric) = 2.1873932466308318767832880768968
absolute error = 2.77007523010279e-17
relative error = 1.2663819065773580111299635721251e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.250215700421722039836094568955
y[1] (analytic) = 2.187942152258501959565631577373
y[1] (numeric) = 2.1879421522585019318647572728685
absolute error = 2.77008743045045e-17
relative error = 1.2660697759266756345101642631088e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 17.25
Order of pole = 7.092
x[1] = 3.2512089526289094343463263583129
y[1] (analytic) = 2.1884910469558631496033168105545
y[1] (numeric) = 2.1884910469558631219023206555498
absolute error = 2.77009961550047e-17
relative error = 1.2657578011815995163672181667610e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2522022048360968288565581476708
y[1] (analytic) = 2.1890399307274850142473016860264
y[1] (numeric) = 2.1890399307274849865461838332743
absolute error = 2.77011178527521e-17
relative error = 1.2654459822277508714013517246119e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2531954570432842233667899370287
y[1] (analytic) = 2.1895888035779342282247843110187
y[1] (numeric) = 2.1895888035779342005235449130486
absolute error = 2.77012393979701e-17
relative error = 1.2651343189508653939606593304167e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 8.485
Order of pole = 2.093
x[1] = 3.2541887092504716178770217263866
y[1] (analytic) = 2.1901376655117746037343814365313
y[1] (numeric) = 2.1901376655117745760330206456498
absolute error = 2.77013607908815e-17
relative error = 1.2648228112367748385282864056576e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2551819614576590123872535157445
y[1] (analytic) = 2.1906865165335670928380536281948
y[1] (numeric) = 2.1906865165335670651365715964858
absolute error = 2.77014820317090e-17
relative error = 1.2645114589714297109300363822442e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2561752136648464068974853051024
y[1] (analytic) = 2.1912353566478697898505325969556
y[1] (numeric) = 2.1912353566478697621489294762807
absolute error = 2.77016031206749e-17
relative error = 1.2642002620408854163735861717153e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 8.321
Order of pole = 2.03
x[1] = 3.2571684658720338014077170944603
y[1] (analytic) = 2.1917841858592379337262538190668
y[1] (numeric) = 2.1917841858592379060245297610655
absolute error = 2.77017240580013e-17
relative error = 1.2638892203313112407842463655453e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2581617180792211959179488838182
y[1] (analytic) = 2.1923330041722239104437975702908
y[1] (numeric) = 2.1923330041722238827419527263816
absolute error = 2.77018448439092e-17
relative error = 1.2635783337289491438104274891812e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2591549702864085904281806731761
y[1] (analytic) = 2.1928818115913772553878414946581
y[1] (numeric) = 2.192881811591377227685876016038
absolute error = 2.77019654786201e-17
relative error = 1.2632676021201866189576344031400e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.260148222493595984938412462534
y[1] (analytic) = 2.1934306081212446557286278235605
y[1] (numeric) = 2.1934306081212446280265418612058
absolute error = 2.77020859623547e-17
relative error = 1.2629570253914972313800939033793e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2611414747007833794486442518919
y[1] (analytic) = 2.1939793937663699527989483564168
y[1] (numeric) = 2.1939793937663699250967420610834
absolute error = 2.77022062953334e-17
relative error = 1.2626466034294632876380939446325e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.437
Order of pole = 0.5456
x[1] = 3.2621347269079707739588760412498
y[1] (analytic) = 2.1945281685312941444686503095973
y[1] (numeric) = 2.1945281685312941167663238318213
absolute error = 2.77023264777760e-17
relative error = 1.2623363361207620171540350666985e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2631279791151581684691078306077
y[1] (analytic) = 2.1950769324205553875166661357644
y[1] (numeric) = 2.195076932420555359814219625862
absolute error = 2.77024465099024e-17
relative error = 1.2620262233521973309051757654515e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2641212313223455629793396199656
y[1] (analytic) = 2.195625685438689000000570411253
y[1] (numeric) = 2.1956256854386889722980040193212
absolute error = 2.77025663919318e-17
relative error = 1.2617162650106632148539551575629e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2651144835295329574895714093235
y[1] (analytic) = 2.1961744275902274636236668846008
y[1] (numeric) = 2.1961744275902274359209807605175
absolute error = 2.77026861240833e-17
relative error = 1.2614064609831709254919746414180e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.419
Order of pole = 1.407
x[1] = 3.2661077357367203519998031986814
y[1] (analytic) = 2.1967231588797004260996087748196
y[1] (numeric) = 2.1967231588797003983968030682444
absolute error = 2.77028057065752e-17
relative error = 1.2610968111568169655871084754508e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=404.3MB, alloc=4.4MB, time=50.57
NO POLE
x[1] = 3.2671009879439077465100349880393
y[1] (analytic) = 2.1972718793116347035145554034986
y[1] (numeric) = 2.1972718793116346758116302638727
absolute error = 2.77029251396259e-17
relative error = 1.2607873154188239255050069111428e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.847
Order of pole = 0.6783
x[1] = 3.2680942401510951410202667773972
y[1] (analytic) = 2.1978205888905542826868682403292
y[1] (numeric) = 2.197820588890554254983823816876
absolute error = 2.77030444234532e-17
relative error = 1.2604779736565084639782848837777e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2690874923582825355304985667551
y[1] (analytic) = 2.1983692876209803235243494371532
y[1] (numeric) = 2.1983692876209802958211858788786
absolute error = 2.77031635582746e-17
relative error = 1.2601687857572948251096761553180e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.270080744565469930040730356113
y[1] (analytic) = 2.1989179755074311613790259211524
y[1] (numeric) = 2.1989179755074311336757433768454
absolute error = 2.77032825443070e-17
relative error = 1.2598597516087010490086633204785e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2710739967726573245509621454709
y[1] (analytic) = 2.1994666525544223093994821133239
y[1] (numeric) = 2.1994666525544222816960807315566
absolute error = 2.77034013817673e-17
relative error = 1.2595508710983661220972739916014e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.59
Order of pole = 0.9628
x[1] = 3.2720672489798447190611939348288
y[1] (analytic) = 2.2000153187664664608807443339142
y[1] (numeric) = 2.2000153187664664331772242630423
absolute error = 2.77035200708719e-17
relative error = 1.2592421441140270871555092684629e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2730605011870321135714257241867
y[1] (analytic) = 2.2005639741480734916117199520292
y[1] (numeric) = 2.2005639741480734639080813401923
absolute error = 2.77036386118369e-17
relative error = 1.2589335705435279976561182485986e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 12.8
Order of pole = 4.094
x[1] = 3.2740537533942195080816575135446
y[1] (analytic) = 2.2011126187037504622201943321817
y[1] (numeric) = 2.2011126187037504345164373273039
absolute error = 2.77037570048778e-17
relative error = 1.2586251502748061429413620423454e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2750470056014069025918893029025
y[1] (analytic) = 2.2016612524380016205153886260932
y[1] (numeric) = 2.2016612524380015928115133758832
absolute error = 2.77038752502100e-17
relative error = 1.2583168831959146302122940777290e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2760402578085942971021210922604
y[1] (analytic) = 2.2022098753553284038280814536283
y[1] (numeric) = 2.2022098753553283761240881055798
absolute error = 2.77039933480485e-17
relative error = 1.2580087691950086056353771759906e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2770335100157816916123528816183
y[1] (analytic) = 2.2027584874602294413482975123101
y[1] (numeric) = 2.2027584874602294136441862137022
absolute error = 2.77041112986079e-17
relative error = 1.2577008081603451153458486556655e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.699
Order of pole = 0.6596
x[1] = 3.2780267622229690861225846709762
y[1] (analytic) = 2.2033070887572005564605661504409
y[1] (numeric) = 2.2033070887572005287563370483386
absolute error = 2.77042291021023e-17
relative error = 1.2573929999802784280451207497124e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2790200144301564806328164603341
y[1] (analytic) = 2.2038556792507347690767529344374
y[1] (numeric) = 2.2038556792507347413724061756918
absolute error = 2.77043467587456e-17
relative error = 1.2570853445432735146111951533911e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.280013266637343875143048249692
y[1] (analytic) = 2.2044042589453222979664672365802
y[1] (numeric) = 2.2044042589453222702620029678287
absolute error = 2.77044642687515e-17
relative error = 1.2567778417379058984810696715586e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2810065188445312696532800390499
y[1] (analytic) = 2.2049528278454505630850488649753
y[1] (numeric) = 2.2049528278454505353804672326423
absolute error = 2.77045816323330e-17
relative error = 1.2564704914528388300533240088270e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2829930232589060586737436177657
y[1] (analytic) = 2.206049933280265001709822722192
y[1] (numeric) = 2.206049933280264974005006801118
absolute error = 2.77048159210740e-17
relative error = 1.2558562479988196380083112404865e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2839862754660934531839754071236
y[1] (analytic) = 2.2065984698239120419733933243924
y[1] (numeric) = 2.2065984698239120142684604777344
absolute error = 2.77049328466580e-17
relative error = 1.2555493546077221389782336234791e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2849795276732808476942071964815
y[1] (analytic) = 2.2071469955910215566196627721242
y[1] (numeric) = 2.2071469955910215289146131454574
absolute error = 2.77050496266668e-17
relative error = 1.2552426132926432282125589004857e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2859727798804682422044389858394
y[1] (analytic) = 2.2076955105860670063678999523926
y[1] (numeric) = 2.2076955105860669786627336910808
absolute error = 2.77051662613118e-17
relative error = 1.2549360239427689017062983522410e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2869660320876556367146707751973
y[1] (analytic) = 2.2082440148135190670403525222806
y[1] (numeric) = 2.2082440148135190393350697714765
absolute error = 2.77052827508041e-17
relative error = 1.2546295864473901883526608400648e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2879592842948430312249025645552
y[1] (analytic) = 2.2087925082778456318733710765903
y[1] (numeric) = 2.2087925082778456041679719812358
absolute error = 2.77053990953545e-17
relative error = 1.2543233006959030078096653876188e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2889525365020304257351343539131
y[1] (analytic) = 2.2093409909835118138261363745146
y[1] (numeric) = 2.2093409909835117861206210793414
absolute error = 2.77055152951732e-17
relative error = 1.2540171665777944498870503368856e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.289945788709217820245366143271
y[1] (analytic) = 2.2098894629349799478869926078555
y[1] (numeric) = 2.2098894629349799201813612573853
absolute error = 2.77056313504702e-17
relative error = 1.2537111839826607501758167351735e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2909390409164052147555979326289
y[1] (analytic) = 2.2104379241367095933773896889729
y[1] (numeric) = 2.2104379241367095656716424275177
absolute error = 2.77057472614552e-17
relative error = 1.2534053528002026189818667956365e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 10.95
Order of pole = 3.112
x[1] = 3.2919322931235926092658297219868
y[1] (analytic) = 2.210986374593157536253437532329
y[1] (numeric) = 2.2109863745931575085475745039914
absolute error = 2.77058630283376e-17
relative error = 1.2530996729202251000985367746970e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.935
Order of pole = 0.5815
x[1] = 3.2929255453307800037760615113447
y[1] (analytic) = 2.2115348143087777914050752991783
y[1] (numeric) = 2.2115348143087777636990966478519
absolute error = 2.77059786513264e-17
relative error = 1.2527941442326329080608523749657e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2939187975379673982862933007026
y[1] (analytic) = 2.2120832432880216049528585706444
y[1] (numeric) = 2.2120832432880215772467644400145
absolute error = 2.77060941306299e-17
relative error = 1.2524887666274167311028923638090e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=408.1MB, alloc=4.4MB, time=51.04
NO POLE
x[1] = 3.2949120497451547927965250900605
y[1] (analytic) = 2.2126316615353374565423674101287
y[1] (numeric) = 2.212631661535337428836157943672
absolute error = 2.77062094664567e-17
relative error = 1.2521835399946983080682855738448e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.401
Order of pole = 0.6254
x[1] = 3.2959053019523421873067568794184
y[1] (analytic) = 2.2131800690551710616362382716964
y[1] (numeric) = 2.2131800690551710339299136126818
absolute error = 2.77063246590146e-17
relative error = 1.2518784642246805522308274686957e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2968985541595295818169886687763
y[1] (analytic) = 2.2137284658519653738038227068068
y[1] (numeric) = 2.2137284658519653460973829982955
absolute error = 2.77064397085113e-17
relative error = 1.2515735392076790600539874049472e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.2978918063667169763272204581342
y[1] (analytic) = 2.2142768519301605870084758174704
y[1] (numeric) = 2.2142768519301605593019212023166
absolute error = 2.77065546151538e-17
relative error = 1.2512687648340948632337699667094e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.983
Order of pole = 0.8445
x[1] = 3.2988850585739043708374522474921
y[1] (analytic) = 2.2148252272941941378924773996472
y[1] (numeric) = 2.2148252272941941101858080204979
absolute error = 2.77066693791493e-17
relative error = 1.2509641409944549466727438451610e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.29987831078109176534768403685
y[1] (analytic) = 2.2153735919485007080595887164326
y[1] (numeric) = 2.2153735919485006803528047157285
absolute error = 2.77067840007041e-17
relative error = 1.2506596675793624280679641298946e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3008715629882791598579158262079
y[1] (analytic) = 2.2159219458975122263552478363239
y[1] (numeric) = 2.2159219458975121986483493562993
absolute error = 2.77068984800246e-17
relative error = 1.2503553444795415801710397313470e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3018648151954665543681476155658
y[1] (analytic) = 2.2164702891456578711444064676053
y[1] (numeric) = 2.2164702891456578434373936502888
absolute error = 2.77070128173165e-17
relative error = 1.2500511715858015760324234035298e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3028580674026539488783794049237
y[1] (analytic) = 2.2170186216973640725870112156504
y[1] (numeric) = 2.217018621697364044879884202865
absolute error = 2.77071270127854e-17
relative error = 1.2497471487890634359342411947131e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3038513196098413433886111942816
y[1] (analytic) = 2.2175669435570545149111321857002
y[1] (numeric) = 2.2175669435570544872038911190636
absolute error = 2.77072410666366e-17
relative error = 1.2494432759803508587879368455467e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.614
Order of pole = 0.9613
x[1] = 3.3048445718170287378988429836395
y[1] (analytic) = 2.2181152547291501386837418494483
y[1] (numeric) = 2.2181152547291501109763868703734
absolute error = 2.77073549790749e-17
relative error = 1.2491395530507810671490362852257e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3058378240242161324090747729974
y[1] (analytic) = 2.2186635552180691430791470895419
y[1] (numeric) = 2.2186635552180691153716783392372
absolute error = 2.77074687503047e-17
relative error = 1.2488359798915691874781070811062e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3068310762314035269193065623553
y[1] (analytic) = 2.2192118450282269881450773318911
y[1] (numeric) = 2.2192118450282269604374949513608
absolute error = 2.77075823805303e-17
relative error = 1.2485325563940416361340763713365e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.993
Order of pole = 0.6939
x[1] = 3.3078243284385909214295383517132
y[1] (analytic) = 2.2197601241640363970664316714697
y[1] (numeric) = 2.2197601241640363693587358015142
absolute error = 2.77076958699555e-17
relative error = 1.2482292824496179506079582947518e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3088175806457783159397701410711
y[1] (analytic) = 2.2203083926299073584266878930916
y[1] (numeric) = 2.2203083926299073307188786743077
absolute error = 2.77078092187839e-17
relative error = 1.2479261579498241748456448541807e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.309810832852965710450001930429
y[1] (analytic) = 2.2208566504302471284669762844496
y[1] (numeric) = 2.2208566504302471007590538572311
absolute error = 2.77079224272185e-17
relative error = 1.2476231827862747053923430095748e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3108040850601531049602337197869
y[1] (analytic) = 2.2214048975694602333428211345178
y[1] (numeric) = 2.2214048975694602056347856390557
absolute error = 2.77080354954621e-17
relative error = 1.2473203568506901776828823860125e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.31
Order of pole = 1.109
x[1] = 3.3117973372673404994704655091448
y[1] (analytic) = 2.2219531340519484713785528062366
y[1] (numeric) = 2.2219531340519484436704043825192
absolute error = 2.77081484237174e-17
relative error = 1.2470176800349018242344969195881e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3127905894745278939806972985027
y[1] (analytic) = 2.2225013598821109153193932682253
y[1] (numeric) = 2.2225013598821108876111320560388
absolute error = 2.77082612121865e-17
relative error = 1.2467151522308288297983024372680e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.372
Order of pole = 0.9127
x[1] = 3.3137838416817152884909290878606
y[1] (analytic) = 2.2230495750643439145812179661018
y[1] (numeric) = 2.2230495750643438868728441050307
absolute error = 2.77083738610711e-17
relative error = 1.2464127733304872083115304077067e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.214
Order of pole = 0.5318
x[1] = 3.3147770938889026830011608772185
y[1] (analytic) = 2.2235977796030410974979969098283
y[1] (numeric) = 2.2235977796030410697895105392555
absolute error = 2.77084863705728e-17
relative error = 1.2461105432260031639513370521559e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3157703460960900775113926665764
y[1] (analytic) = 2.2241459735025933735669178493463
y[1] (numeric) = 2.2241459735025933458583191084535
absolute error = 2.77085987408928e-17
relative error = 1.2458084618095994558001524982928e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3167635983032774720216244559343
y[1] (analytic) = 2.2246941567673889356911944066213
y[1] (numeric) = 2.2246941567673889079824834343894
absolute error = 2.77087109722319e-17
relative error = 1.2455065289735952676878964832284e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.279
Order of pole = 0.7317
x[1] = 3.3177568505104648665318562452922
y[1] (analytic) = 2.2252423294018132624205620280763
y[1] (numeric) = 2.2252423294018132347117389632858
absolute error = 2.77088230647905e-17
relative error = 1.2452047446104060782435933887867e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3187501027176522610420880346501
y[1] (analytic) = 2.2257904914102491201894646172601
y[1] (numeric) = 2.2257904914102490924805295984913
absolute error = 2.77089350187688e-17
relative error = 1.2449031086125525167276720197200e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.319743354924839655552319824008
y[1] (analytic) = 2.2263386427970765655529347034712
y[1] (numeric) = 2.2263386427970765378438878691044
absolute error = 2.77090468343668e-17
relative error = 1.2446016208726602224394235974946e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 92.99
Order of pole = 186.6
x[1] = 3.3207366071320270500625516133659
y[1] (analytic) = 2.2268867835666729474201699979383
y[1] (numeric) = 2.2268867835666729197110114861544
absolute error = 2.77091585117839e-17
relative error = 1.2443002812834417420534690375888e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3217298593392144445727834027238
y[1] (analytic) = 2.2274349137234129092858091850479
y[1] (numeric) = 2.2274349137234128815765391338286
absolute error = 2.77092700512193e-17
relative error = 1.2439990897377143694541442410011e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
memory used=412.0MB, alloc=4.4MB, time=51.51
x[1] = 3.3227231115464018390830151920817
y[1] (analytic) = 2.2279830332716683914589097920008
y[1] (numeric) = 2.2279830332716683637495283391291
absolute error = 2.77093814528717e-17
relative error = 1.2436980461283865407011437673732e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3237163637535892335932469814396
y[1] (analytic) = 2.2285311422158086332896309761838
y[1] (numeric) = 2.2285311422158086055801382592439
absolute error = 2.77094927169399e-17
relative error = 1.2433971503484846344350846531637e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3247096159607766281034787707975
y[1] (analytic) = 2.2290792405602001753936240654478
y[1] (numeric) = 2.2290792405602001476840202218258
absolute error = 2.77096038436220e-17
relative error = 1.2430964022911169265590276804977e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3257028681679640226137105601554
y[1] (analytic) = 2.2296273283092068618741336824012
y[1] (numeric) = 2.2296273283092068341644188492854
absolute error = 2.77097148331158e-17
relative error = 1.2427958018494914187559559250328e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3266961203751514171239423495133
y[1] (analytic) = 2.230175405467189842541812279747
y[1] (numeric) = 2.2301754054671898148319865941283
absolute error = 2.77098256856187e-17
relative error = 1.2424953489169112209721343142399e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3276893725823388116341741388712
y[1] (analytic) = 2.2307234720385075751322509096202
y[1] (numeric) = 2.2307234720385075474223145082918
absolute error = 2.77099364013284e-17
relative error = 1.2421950433868058035289606246168e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3286826247895262061444059282291
y[1] (analytic) = 2.2312715280275158275212290458167
y[1] (numeric) = 2.2312715280275157998111820653752
absolute error = 2.77100469804415e-17
relative error = 1.2418948851526680864547125751483e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.329675876996713600654637717587
y[1] (analytic) = 2.2318195734385676799376862737493
y[1] (numeric) = 2.2318195734385676522275288505948
absolute error = 2.77101574231545e-17
relative error = 1.2415948741080991570996887599033e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.475
Order of pole = 0.7589
x[1] = 3.3306691292039009951648695069449
y[1] (analytic) = 2.2323676082760135271744186589102
y[1] (numeric) = 2.2323676082760134994641509292466
absolute error = 2.77102677296636e-17
relative error = 1.2412950101467991673105194792310e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3316623814110883896751012963028
y[1] (analytic) = 2.2329156325442010807965026005776
y[1] (numeric) = 2.2329156325442010530861247004126
absolute error = 2.77103779001650e-17
relative error = 1.2409952931625806362743717958099e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.039
Order of pole = 1.281
x[1] = 3.3326556336182757841853330856607
y[1] (analytic) = 2.233463646247475371347448973463
y[1] (numeric) = 2.2334636462474753436369610386087
absolute error = 2.77104879348543e-17
relative error = 1.2406957230493414376394880085105e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3336488858254631786955648750186
y[1] (analytic) = 2.2340116493901787505530903559672
y[1] (numeric) = 2.2340116493901787228424925220407
absolute error = 2.77105978339265e-17
relative error = 1.2403962997010646839254516246324e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3346421380326505732057966643765
y[1] (analytic) = 2.234559641976650893523204139685
y[1] (numeric) = 2.2345596419766508658124965421082
absolute error = 2.77107075975768e-17
relative error = 1.2400970230118544123566791576788e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3356353902398379677160284537344
y[1] (analytic) = 2.2351076240112288009508743107798
y[1] (numeric) = 2.2351076240112287732400570847801
absolute error = 2.77108172259997e-17
relative error = 1.2397978928758951592398054392486e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3366286424470253622262602430923
y[1] (analytic) = 2.2356555954982468013095946898404
y[1] (numeric) = 2.2356555954982467735986679704508
absolute error = 2.77109267193896e-17
relative error = 1.2394989091874786882237140618206e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3376218946542127567364920324502
y[1] (analytic) = 2.2362035564420365530481164128234
y[1] (numeric) = 2.2362035564420365253370803348829
absolute error = 2.77110360779405e-17
relative error = 1.2392000718409904324946124729651e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3386151468614001512467238218081
y[1] (analytic) = 2.236751506846927046783042431688
y[1] (numeric) = 2.2367515068469270190718971298419
absolute error = 2.77111453018461e-17
relative error = 1.2389013807309138399936919371071e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.444
Order of pole = 1.133
x[1] = 3.339608399068587545756955611166
y[1] (analytic) = 2.2372994467172446074891718093367
y[1] (numeric) = 2.2372994467172445797779174180369
absolute error = 2.77112543912998e-17
relative error = 1.2386028357518302425915870798045e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3406016512757749402671874005239
y[1] (analytic) = 2.2378473760573128966875965794897
y[1] (numeric) = 2.2378473760573128689762332329951
absolute error = 2.77113633464946e-17
relative error = 1.2383044367984142568916549810412e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3415949034829623347774191898818
y[1] (analytic) = 2.2383952948714529146315539381429
y[1] (numeric) = 2.2383952948714528869200817705197
absolute error = 2.77114721676232e-17
relative error = 1.2380061837654381267769596066401e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3425881556901497292876509792397
y[1] (analytic) = 2.238943203163983002490036529285
y[1] (numeric) = 2.2389432031639829747784556744069
absolute error = 2.77115808548781e-17
relative error = 1.2377080765477760595973133826852e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3435814078973371237978827685976
y[1] (analytic) = 2.2394911009392188445291635835836
y[1] (numeric) = 2.2394911009392188168174741751322
absolute error = 2.77116894084514e-17
relative error = 1.2374101150403951601071603604871e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3445746601045245183081145579555
y[1] (analytic) = 2.240038988201473470291315664792
y[1] (numeric) = 2.2400389882014734425795178362571
absolute error = 2.77117978285349e-17
relative error = 1.2371122991383597703490178962517e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3455679123117119128183463473134
y[1] (analytic) = 2.2405868649550572567720357746726
y[1] (numeric) = 2.2405868649550572290601296593528
absolute error = 2.77119061153198e-17
relative error = 1.2368146287368179507202050443648e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.676
Order of pole = 1.755
x[1] = 3.3465611645188993073285781366713
y[1] (analytic) = 2.2411347312042779305946995632901
y[1] (numeric) = 2.2411347312042779028826852942925
absolute error = 2.77120142689976e-17
relative error = 1.2365171037310415251892642142543e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3475544167260867018388099260292
y[1] (analytic) = 2.241682586953440570182957387582
y[1] (numeric) = 2.2416825869534405424708350978228
absolute error = 2.77121222897592e-17
relative error = 1.2362197240163857709792633996017e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3485476689332740963490417153871
y[1] (analytic) = 2.2422304322068476079309509571854
y[1] (numeric) = 2.2422304322068475802187207793906
absolute error = 2.77122301777948e-17
relative error = 1.2359224894882848461229351473047e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.349540921140461490859273504745
y[1] (analytic) = 2.2427782669687988323713073025704
y[1] (numeric) = 2.2427782669687988046589693692756
absolute error = 2.77123379332948e-17
relative error = 1.2356254000422918112898719379431e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.137
Order of pole = 1.061
memory used=415.8MB, alloc=4.4MB, time=52.00
x[1] = 3.3505341733476488853695052941029
y[1] (analytic) = 2.2433260912435913903409127966068
y[1] (numeric) = 2.2433260912435913626284672401576
absolute error = 2.77124455564492e-17
relative error = 1.2353284555740517279879593809484e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3515274255548362798797370834608
y[1] (analytic) = 2.2438739050355197891444699567797
y[1] (numeric) = 2.2438739050355197614319169093323
absolute error = 2.77125530474474e-17
relative error = 1.2350316559792926225027203423530e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.743
Order of pole = 0.6598
x[1] = 3.3525206777620236743899688728187
y[1] (analytic) = 2.2444217083488758987158397513612
y[1] (numeric) = 2.2444217083488758710031793448823
absolute error = 2.77126604064789e-17
relative error = 1.2347350011538565625014641229674e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.112
Order of pole = 1.055
x[1] = 3.3535139299692110689002006621766
y[1] (analytic) = 2.2449695011879489537771721289411
y[1] (numeric) = 2.2449695011879489260644044952087
absolute error = 2.77127676337324e-17
relative error = 1.2344384909936594176989091277247e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3545071821763984634104324515345
y[1] (analytic) = 2.245517283557025555995827486829
y[1] (numeric) = 2.2455172835570255282829527574322
absolute error = 2.77128747293968e-17
relative error = 1.2341421253947352924578337919294e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3555004343835858579206642408924
y[1] (analytic) = 2.2460650554603896761390917899456
y[1] (numeric) = 2.2460650554603896484261100962851
absolute error = 2.77129816936605e-17
relative error = 1.2338459042532052054633484327797e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3564936865907732524308960302503
y[1] (analytic) = 2.2466128169023226562266880479432
y[1] (numeric) = 2.2466128169023226285135995212318
absolute error = 2.77130885267114e-17
relative error = 1.2335498274652769732501866629129e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3574869387979606469411278196082
y[1] (analytic) = 2.2471605678871032116810868544182
y[1] (numeric) = 2.247160567887103183967891625681
absolute error = 2.77131952287372e-17
relative error = 1.2332538949272584440966738478817e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3584801910051480414513596089661
y[1] (analytic) = 2.2477083084190074334756186882068
y[1] (numeric) = 2.2477083084190074057623168882812
absolute error = 2.77133017999256e-17
relative error = 1.2329581065355662636086025177603e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.359473443212335435961591398324
y[1] (analytic) = 2.2482560385023087902803906728928
y[1] (numeric) = 2.2482560385023087625669824324292
absolute error = 2.77134082404636e-17
relative error = 1.2326624621866945964785856057917e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.457
Order of pole = 1.13
x[1] = 3.3604666954195228304718231876819
y[1] (analytic) = 2.2488037581412781306060104868008
y[1] (numeric) = 2.2488037581412781028924959362628
absolute error = 2.77135145505380e-17
relative error = 1.2323669617772372556749805740622e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3614599476267102249820549770398
y[1] (analytic) = 2.2493514673401836849451201118944
y[1] (numeric) = 2.2493514673401836572314993815592
absolute error = 2.77136207303352e-17
relative error = 1.2320716052038786792342111676036e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3624531998338976194922867663977
y[1] (analytic) = 2.2498991661032910679117421061567
y[1] (numeric) = 2.2498991661032910401980153261152
absolute error = 2.77137267800415e-17
relative error = 1.2317763923634071434667621998258e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3634464520410850140025185557556
y[1] (analytic) = 2.2504468544348632803784410801912
y[1] (numeric) = 2.2504468544348632526646083803481
absolute error = 2.77138326998431e-17
relative error = 1.2314813231527146261988675492525e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3644397042482724085127503451135
y[1] (analytic) = 2.2509945323391607116113030549482
y[1] (numeric) = 2.250994532339160683897364565023
absolute error = 2.77139384899252e-17
relative error = 1.2311863974687566879031138736953e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.525
Order of pole = 1.145
x[1] = 3.3654329564554598030229821344714
y[1] (analytic) = 2.2515421998204411414027353736601
y[1] (numeric) = 2.2515421998204411136886912231869
absolute error = 2.77140441504732e-17
relative error = 1.2308916152086056808012750942174e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3664262086626471975332139238293
y[1] (analytic) = 2.2520898568829597422020898372437
y[1] (numeric) = 2.2520898568829597144879401555715
absolute error = 2.77141496816722e-17
relative error = 1.2305969762694283949025852009799e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 10.11
Order of pole = 2.659
x[1] = 3.3674194608698345920434457131872
y[1] (analytic) = 2.2526375035309690812441117286185
y[1] (numeric) = 2.2526375035309690535298566449115
absolute error = 2.77142550837070e-17
relative error = 1.2303024805484859328699628699346e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3684127130770219865536775025451
y[1] (analytic) = 2.2531851397687191226752173875819
y[1] (numeric) = 2.25318513976871909496085703082
absolute error = 2.77143603567619e-17
relative error = 1.2300081279431247087610826964053e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.369405965284209381063909291903
y[1] (analytic) = 2.2537327656004572296776029940816
y[1] (numeric) = 2.2537327656004572019631374930607
absolute error = 2.77144655010209e-17
relative error = 1.2297139183507852082414471313536e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3703992174913967755741410812609
y[1] (analytic) = 2.2542803810304281665911872139299
y[1] (numeric) = 2.2542803810304281388766166972621
absolute error = 2.77145705166678e-17
relative error = 1.2294198516690063000388161575315e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3713924696985841700843728706188
y[1] (analytic) = 2.2548279860628741010333903572174
y[1] (numeric) = 2.2548279860628740733187149533311
absolute error = 2.77146754038863e-17
relative error = 1.2291259277954295411308729879754e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3723857219057715645946046599767
y[1] (analytic) = 2.2553755807020346060167526959
y[1] (numeric) = 2.2553755807020345783019725330404
absolute error = 2.77147801628596e-17
relative error = 1.2288321466277813064205674651440e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3733789741129589591048364493346
y[1] (analytic) = 2.2559231649521466620643945832592
y[1] (numeric) = 2.2559231649521466343495097894889
absolute error = 2.77148847937703e-17
relative error = 1.2285385080638682427791306391255e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3743722263201463536150682386925
y[1] (analytic) = 2.2564707388174446593233210141643
y[1] (numeric) = 2.2564707388174446316083317173631
absolute error = 2.77149892968012e-17
relative error = 1.2282450120016126150175555458696e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3753654785273337481253000280504
y[1] (analytic) = 2.2570183023021603996755732613
y[1] (numeric) = 2.2570183023021603719604795891653
absolute error = 2.77150936721347e-17
relative error = 1.2279516583390255716827576923416e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.801
Order of pole = 0.665
x[1] = 3.3763587307345211426355318174083
y[1] (analytic) = 2.2575658554105230988472302187681
y[1] (numeric) = 2.2575658554105230711320322988155
absolute error = 2.77151979199526e-17
relative error = 1.2276584469741981679742290872905e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.297
Order of pole = 0.611
x[1] = 3.3773519829417085371457636067662
y[1] (analytic) = 2.2581133981467593885152620807199
y[1] (numeric) = 2.2581133981467593607999600402832
absolute error = 2.77153020404367e-17
relative error = 1.2273653778053278295408645665481e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3783452351488959316559953961241
y[1] (analytic) = 2.2586609305150933184122389789277
y[1] (numeric) = 2.2586609305150932906968329451593
absolute error = 2.77154060337684e-17
relative error = 1.2270724507307005037807444869044e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=419.6MB, alloc=4.4MB, time=52.49
Complex estimate of poles used
Radius of convergence = 2.247
Order of pole = 0.6061
x[1] = 3.379338487356083326166227185482
y[1] (analytic) = 2.2592084525197463584288971994686
y[1] (numeric) = 2.2592084525197463307133872993396
absolute error = 2.77155099001290e-17
relative error = 1.2267796656487038214145571541255e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3803317395632707206764589748399
y[1] (analytic) = 2.2597559641649374007145655949568
y[1] (numeric) = 2.2597559641649373729989519552577
absolute error = 2.77156136396991e-17
relative error = 1.2264870224578004116313788657744e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3813249917704581151866907641978
y[1] (analytic) = 2.2603034654548827617754548050372
y[1] (numeric) = 2.260303465454882734059737552378
absolute error = 2.77157172526592e-17
relative error = 1.2261945210565543462491942375393e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.672
Order of pole = 0.5587
x[1] = 3.3823182439776455096969225535557
y[1] (analytic) = 2.2608509563937961845708118941288
y[1] (numeric) = 2.260850956393796156854991154939
absolute error = 2.77158207391898e-17
relative error = 1.2259021613436354299003885863783e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 17.82
Order of pole = 7.157
x[1] = 3.3833114961848329042071543429136
y[1] (analytic) = 2.2613984369858888406069430116923
y[1] (numeric) = 2.2613984369858888128910189122216
absolute error = 2.77159240994707e-17
relative error = 1.2256099432177881076613045048888e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3843047483920202987173861322715
y[1] (analytic) = 2.2619459072353693320291066765893
y[1] (numeric) = 2.2619459072353693043130793429077
absolute error = 2.77160273336816e-17
relative error = 1.2253178665778578904894384512189e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3852980005992076932276179216294
y[1] (analytic) = 2.2624933671464436937112802833944
y[1] (numeric) = 2.2624933671464436659951498413928
absolute error = 2.77161304420016e-17
relative error = 1.2250259313227691233823593008522e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3862912528063950877378497109873
y[1] (analytic) = 2.2630408167233153953438024248279
y[1] (numeric) = 2.2630408167233153676275690002177
absolute error = 2.77162334246102e-17
relative error = 1.2247341373515690683196670188946e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3872845050135824822480815003452
y[1] (analytic) = 2.2635882559701853435188936207815
y[1] (numeric) = 2.2635882559701853158025573390956
absolute error = 2.77163362816859e-17
relative error = 1.2244424845633658969019360183179e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3882777572207698767583132897031
y[1] (analytic) = 2.2641356848912518838140580407306
y[1] (numeric) = 2.2641356848912518560976190273233
absolute error = 2.77164390134073e-17
relative error = 1.2241509728573771903716220684402e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.389271009427957271268545079061
y[1] (analytic) = 2.2646831034907108028733688026414
y[1] (numeric) = 2.264683103490710775156827182689
absolute error = 2.77165416199524e-17
relative error = 1.2238596021328988879876335973063e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3902642616351446657787768684189
y[1] (analytic) = 2.2652305117727553304866394278138
y[1] (numeric) = 2.2652305117727553027699953263145
absolute error = 2.77166441014993e-17
relative error = 1.2235683722893360843039406801063e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3912575138423320602890086577768
y[1] (analytic) = 2.265777909741576141666484027429
y[1] (numeric) = 2.2657779097415761139497375692034
absolute error = 2.77167464582256e-17
relative error = 1.2232772832261764063817930444758e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3922507660495194547992404471347
y[1] (analytic) = 2.266325297401361358723268792914
y[1] (numeric) = 2.2663252974013613310064201026054
absolute error = 2.77168486903086e-17
relative error = 1.2229863348429987290334797260883e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.816
Order of pole = 0.5689
x[1] = 3.3932440182567068493094722364926
y[1] (analytic) = 2.2668726747562965533379573585777
y[1] (numeric) = 2.2668726747562965256210065606524
absolute error = 2.77169507979253e-17
relative error = 1.2226955270394730547262793830436e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.772
Order of pole = 0.7971
x[1] = 3.3942372704638942438197040258505
y[1] (analytic) = 2.2674200418105647486328526013248
y[1] (numeric) = 2.2674200418105647209157998200723
absolute error = 2.77170527812525e-17
relative error = 1.2224048597153648039742442589602e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.593
Order of pole = 1.407
x[1] = 3.3952305226710816383299358152084
y[1] (analytic) = 2.2679673985683464212402374386108
y[1] (numeric) = 2.2679673985683463935230827981439
absolute error = 2.77171546404669e-17
relative error = 1.2221143327705390995322691457604e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.279
Order of pole = 0.6083
x[1] = 3.3962237748782690328401676045663
y[1] (analytic) = 2.2685147450338195033689171821626
y[1] (numeric) = 2.2685147450338194756516608064182
absolute error = 2.77172563757444e-17
relative error = 1.2218239461049297790385226884330e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3972170270854564273503993939242
y[1] (analytic) = 2.2690620812111593848686660013614
y[1] (numeric) = 2.2690620812111593571513080141006
absolute error = 2.77173579872608e-17
relative error = 1.2215336996185701520222958136694e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.3982102792926438218606311832821
y[1] (analytic) = 2.2696094071045389152925800465546
y[1] (numeric) = 2.2696094071045388875751205713627
absolute error = 2.77174594751919e-17
relative error = 1.2212435932115972761553004736808e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.39920353149983121637086297264
y[1] (analytic) = 2.2701567227181284059573397789468
y[1] (numeric) = 2.2701567227181283782397789392337
absolute error = 2.77175608397131e-17
relative error = 1.2209536267842342024215564875431e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.294
Order of pole = 0.6097
x[1] = 3.4001967837070186108810947619979
y[1] (analytic) = 2.2707040280560956320013840501046
y[1] (numeric) = 2.2707040280560956042837219691053
absolute error = 2.77176620809993e-17
relative error = 1.2206638002367854577410853609668e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4011900359142060053913265513558
y[1] (analytic) = 2.271251323122605834440998470505
y[1] (numeric) = 2.2712513231226058067232352712798
absolute error = 2.77177631992252e-17
relative error = 1.2203741134696501455765403169913e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4021832881213933999015583407137
y[1] (analytic) = 2.2717986079218217222243206029502
y[1] (numeric) = 2.2717986079218216945064564083847
absolute error = 2.77178641945655e-17
relative error = 1.2200845663833306258195116257637e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4031765403285807944117901300716
y[1] (analytic) = 2.2723458824579034742832645130796
y[1] (numeric) = 2.2723458824579034465652994458854
absolute error = 2.77179650671942e-17
relative error = 1.2197951588784015755026123673868e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4041697925357681889220219194295
y[1] (analytic) = 2.2728931467350087415833672056184
y[1] (numeric) = 2.272893146735008713865301388333
absolute error = 2.77180658172854e-17
relative error = 1.2195058908555450894077194103088e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4051630447429555834322537087874
y[1] (analytic) = 2.2734404007572926491715594714156
y[1] (numeric) = 2.2734404007572926214533930264032
absolute error = 2.77181664450124e-17
relative error = 1.2192167622155109534551442025499e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.864
Order of pole = 0.5722
x[1] = 3.4061562969501429779424854981453
y[1] (analytic) = 2.27398764452890779822186366675
y[1] (numeric) = 2.2739876445289077705035967162012
absolute error = 2.77182669505488e-17
relative error = 1.2189277728591649266963119564392e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=423.4MB, alloc=4.4MB, time=52.97
NO POLE
x[1] = 3.4071495491573303724527172875032
y[1] (analytic) = 2.2745348780540042680790209428031
y[1] (numeric) = 2.2745348780540042403606536087353
absolute error = 2.77183673340678e-17
relative error = 1.2186389226874578165636100882109e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4081428013645177669629490768611
y[1] (analytic) = 2.2750821013367296183000504396374
y[1] (numeric) = 2.2750821013367295905815828438954
absolute error = 2.77184675957420e-17
relative error = 1.2183502116014165759953246238839e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.409136053571705161473180866219
y[1] (analytic) = 2.2756293143812288906937429554538
y[1] (numeric) = 2.27562931438122886297517521971
absolute error = 2.77185677357438e-17
relative error = 1.2180616395021617797528464385001e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4101293057788925559834126555769
y[1] (analytic) = 2.276176517191644611358091598346
y[1] (numeric) = 2.2761765171916445836394238441005
absolute error = 2.77186677542455e-17
relative error = 1.2177732062909118955461401428205e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 15.9
Order of pole = 5.743
x[1] = 3.4111225579860799504936444449348
y[1] (analytic) = 2.2767237097721167927156619242208
y[1] (numeric) = 2.2767237097721167649968942728015
absolute error = 2.77187676514193e-17
relative error = 1.2174849118689831567384140619845e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4121158101932673450038762342927
y[1] (analytic) = 2.2772708921267829355469040610084
y[1] (numeric) = 2.2772708921267829078280366335718
absolute error = 2.77188674274366e-17
relative error = 1.2171967561377586967017210876168e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4131090624004547395141080236506
y[1] (analytic) = 2.2778180642597780310214093157505
y[1] (numeric) = 2.2778180642597780033024422332817
absolute error = 2.77189670824688e-17
relative error = 1.2169087389987235801683261624173e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4141023146076421340243398130085
y[1] (analytic) = 2.2783652261752345627271137576183
y[1] (numeric) = 2.2783652261752345350080471409312
absolute error = 2.77190666166871e-17
relative error = 1.2166208603534558929979372964832e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4150955668148295285345716023664
y[1] (analytic) = 2.2789123778772825086974512663865
y[1] (numeric) = 2.2789123778772824809782852361241
absolute error = 2.77191660302624e-17
relative error = 1.2163331201036222328541489125946e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4160888190220169230448033917243
y[1] (analytic) = 2.27945951937004934343645853237
y[1] (numeric) = 2.2794595193700493157171932090048
absolute error = 2.77192653233652e-17
relative error = 1.2160455181509732063898891059962e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4170820712292043175550351810822
y[1] (analytic) = 2.2800066506576600399418344903121
y[1] (numeric) = 2.2800066506576600122224699941464
absolute error = 2.77193644961657e-17
relative error = 1.2157580543973477048347351615995e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4180753234363917120652669704401
y[1] (analytic) = 2.2805537717442370717259566662043
y[1] (numeric) = 2.2805537717442370440064931173703
absolute error = 2.77194635488340e-17
relative error = 1.2154707287446815583417540090457e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.419068575643579106575498759798
y[1] (analytic) = 2.2811008826339004148348569125131
y[1] (numeric) = 2.2811008826339003871152944309731
absolute error = 2.77195624815400e-17
relative error = 1.2151835410950030263498829285930e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4200618278507665010857305491559
y[1] (analytic) = 2.2816479833307675498651590037903
y[1] (numeric) = 2.2816479833307675221454977093374
absolute error = 2.77196612944529e-17
relative error = 1.2148964913504107632611293542944e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4210550800579538955959623385138
y[1] (analytic) = 2.2821950738389534639789805611525
y[1] (numeric) = 2.2821950738389534362592205734105
absolute error = 2.77197599877420e-17
relative error = 1.2146095794131087785278553684019e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 10.14
Order of pole = 2.624
x[1] = 3.4220483322651412901061941278717
y[1] (analytic) = 2.2827421541625706529168017706249
y[1] (numeric) = 2.2827421541625706251969432090487
absolute error = 2.77198585615762e-17
relative error = 1.2143228051853843974308321200498e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4230415844723286846164259172296
y[1] (analytic) = 2.2832892243057291230083033568656
y[1] (numeric) = 2.2832892243057290952883463407414
absolute error = 2.77199570161242e-17
relative error = 1.2140361685696169110825051928565e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4240348366795160791266577065875
y[1] (analytic) = 2.283836284272536393181176270309
y[1] (numeric) = 2.2838362842725363654611209187545
absolute error = 2.77200553515545e-17
relative error = 1.2137496694682774568171589640060e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4250280888867034736368894959454
y[1] (analytic) = 2.2843833340670974969679055422971
y[1] (numeric) = 2.2843833340670974692477519742623
absolute error = 2.77201535680348e-17
relative error = 1.2134633077839026334733822581845e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4260213410938908681471212853033
y[1] (analytic) = 2.2849303736935149845105307593041
y[1] (numeric) = 2.2849303736935149567902790935709
absolute error = 2.77202516657332e-17
relative error = 1.2131770834191469316093858203805e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4270145933010782626573530746612
y[1] (analytic) = 2.2854774031558889245633856038961
y[1] (numeric) = 2.2854774031558888968430359590787
absolute error = 2.77203496448174e-17
relative error = 1.2128909962767475793668148935251e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4280078455082656571675848640191
y[1] (analytic) = 2.2860244224583169064938189066193
y[1] (numeric) = 2.2860244224583168787733714011648
absolute error = 2.77204475054545e-17
relative error = 1.2126050462595156852613644562226e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.429001097715453051677816653377
y[1] (analytic) = 2.286571431604894042280899649559
y[1] (numeric) = 2.2865714316048940145603544017476
absolute error = 2.77205452478114e-17
relative error = 1.2123192332703536338603956186075e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4309876021298278406982802320928
y[1] (analytic) = 2.2876654194468638483780173201422
y[1] (numeric) = 2.2876654194468638206572769417902
absolute error = 2.77207403783520e-17
relative error = 1.2117480179883392368651684248052e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4319808543370152352085120214507
y[1] (analytic) = 2.2882123981504343736649620470297
y[1] (numeric) = 2.2882123981504343459441242801613
absolute error = 2.77208377668684e-17
relative error = 1.2114626155017425878917375801576e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4329741065442026297187438108086
y[1] (analytic) = 2.2887593667145097667457064301575
y[1] (numeric) = 2.2887593667145097390247713923874
absolute error = 2.77209350377701e-17
relative error = 1.2111773496557313288171162376310e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.565
Order of pole = 0.7611
x[1] = 3.4339673587513900242289756001665
y[1] (analytic) = 2.2893063251431727825681039898838
y[1] (numeric) = 2.289306325143172754847071798661
absolute error = 2.77210321912228e-17
relative error = 1.2108922203536537171022308129759e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
memory used=427.2MB, alloc=4.4MB, time=53.44
x[1] = 3.4349606109585774187392073895244
y[1] (analytic) = 2.2898532734405037106417576530921
y[1] (numeric) = 2.2898532734405036829206284257001
absolute error = 2.77211292273920e-17
relative error = 1.2106072274989485861948424821829e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4359538631657648132494391788823
y[1] (analytic) = 2.2904002116105803770226804707744
y[1] (numeric) = 2.2904002116105803493014543243316
absolute error = 2.77212261464428e-17
relative error = 1.2103223709951364959941513959049e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4369471153729522077596709682402
y[1] (analytic) = 2.2909471396574781462959596897629
y[1] (numeric) = 2.2909471396574781185746367412229
absolute error = 2.77213229485400e-17
relative error = 1.2100376507458239910263236141048e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4379403675801396022699027575981
y[1] (analytic) = 2.2914940575852699235564265885695
y[1] (numeric) = 2.2914940575852698958350069547211
absolute error = 2.77214196338484e-17
relative error = 1.2097530666547165804658429395498e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.438933619787326996780134546956
y[1] (analytic) = 2.2920409653980261563873344838984
y[1] (numeric) = 2.292040965398026128665818281366
absolute error = 2.77215162025324e-17
relative error = 1.2094686186256011591212345824103e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4399268719945143912903663363139
y[1] (analytic) = 2.2925878630998148368370473110113
y[1] (numeric) = 2.2925878630998148091154346562555
absolute error = 2.77216126547558e-17
relative error = 1.2091843065623371773623326202437e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4409201242017017858005981256718
y[1] (analytic) = 2.2931347506947015033937411777424
y[1] (numeric) = 2.2931347506947014756720321870599
absolute error = 2.77217089906825e-17
relative error = 1.2089001303688870712808501314803e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 11.79
Order of pole = 3.347
x[1] = 3.4419133764088891803108299150297
y[1] (analytic) = 2.2936816281867492429581212885818
y[1] (numeric) = 2.2936816281867492152363160781057
absolute error = 2.77218052104761e-17
relative error = 1.2086160899492986914986807599909e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4429066286160765748210617043876
y[1] (analytic) = 2.2942284955800186928141566318774
y[1] (numeric) = 2.2942284955800186650922553175772
absolute error = 2.77219013143002e-17
relative error = 1.2083321852077182684676514051932e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4438998808232639693312934937455
y[1] (analytic) = 2.2947753528785680425978348198367
y[1] (numeric) = 2.2947753528785680148758375175192
absolute error = 2.77219973023175e-17
relative error = 1.2080484160483510665443932391406e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.614
Order of pole = 0.7671
x[1] = 3.4448931330304513638415252831034
y[1] (analytic) = 2.2953222000864530362639394676545
y[1] (numeric) = 2.2953222000864530085418462929638
absolute error = 2.77220931746907e-17
relative error = 1.2077647823755005146863398501412e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.335
Order of pole = 0.6115
x[1] = 3.4458863852376387583517570724613
y[1] (analytic) = 2.2958690372077269740508524947307
y[1] (numeric) = 2.2958690372077269463286635631482
absolute error = 2.77221889315825e-17
relative error = 1.2074812840935680803957831912516e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4468796374448261528619888618192
y[1] (analytic) = 2.2964158642464407144433837275985
y[1] (numeric) = 2.2964158642464406867210991544433
absolute error = 2.77222845731552e-17
relative error = 1.2071979211070357254106717541804e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4478728896520135473722206511771
y[1] (analytic) = 2.2969626812066426761336301808362
y[1] (numeric) = 2.2969626812066426484112500812655
absolute error = 2.77223800995707e-17
relative error = 1.2069146933204658007707785621790e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.448866141859200941882452440535
y[1] (analytic) = 2.2975094880923788399798673888988
y[1] (numeric) = 2.2975094880923788122573918779081
absolute error = 2.77224755109907e-17
relative error = 1.2066316006385096471253240213943e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4498593940663883363926842298929
y[1] (analytic) = 2.2980562849076927509634751584701
y[1] (numeric) = 2.2980562849076927232409043508935
absolute error = 2.77225708075766e-17
relative error = 1.2063486429659031282652536996433e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4508526462735757309029160192508
y[1] (analytic) = 2.29860307165662552014390010761
y[1] (numeric) = 2.2986030716566254924212341181201
absolute error = 2.77226659894899e-17
relative error = 1.2060658202074839233861274866461e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 15.15
Order of pole = 5.184
x[1] = 3.4518458984807631254131478086087
y[1] (analytic) = 2.2991498483432158266116573546464
y[1] (numeric) = 2.2991498483432157988888962977551
absolute error = 2.77227610568913e-17
relative error = 1.2057831322681522520511210935035e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.574
Order of pole = 0.6351
x[1] = 3.4528391506879505199233795979666
y[1] (analytic) = 2.2996966149714999194393737164473
y[1] (numeric) = 2.2996966149714998917165177065058
absolute error = 2.77228560099415e-17
relative error = 1.2055005790529055779902904464901e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4538324028951379144336113873245
y[1] (analytic) = 2.300243371545511619630874772393
y[1] (numeric) = 2.300243371545511591907923923592
absolute error = 2.77229508488010e-17
relative error = 1.2052181604668297897575795917481e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4548256551023253089438431766824
y[1] (analytic) = 2.3007901180692823220683181470634
y[1] (numeric) = 2.3007901180692822943452725734333
absolute error = 2.77230455736301e-17
relative error = 1.2049358764150990866427816920111e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4558189073095127034540749660403
y[1] (analytic) = 2.301336854546840997457375361353
y[1] (numeric) = 2.3013368545468409697342351767644
absolute error = 2.77231401845886e-17
relative error = 1.2046537268029628288585705891239e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.154
Order of pole = 0.8513
x[1] = 3.4568121595167000979643067553982
y[1] (analytic) = 2.3018835809822141942704645984318
y[1] (numeric) = 2.3018835809822141665472299165957
absolute error = 2.77232346818361e-17
relative error = 1.2043717115357584720908277119877e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.693
Order of pole = 0.6476
x[1] = 3.4578054117238874924745385447561
y[1] (analytic) = 2.3024302973794260406880367276774
y[1] (numeric) = 2.3024302973794260129647076621453
absolute error = 2.77233290655321e-17
relative error = 1.2040898305189157971601685395865e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 63.1
Order of pole = 81.49
x[1] = 3.458798663931074886984770334114
y[1] (analytic) = 2.3029770037424982465379169264176
y[1] (numeric) = 2.3029770037424982188144935905817
absolute error = 2.77234233358359e-17
relative error = 1.2038080836579524492610837843066e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4597919161382622814950021234719
y[1] (analytic) = 2.303523700075450105232704236045
y[1] (numeric) = 2.3035237000754500775091867431388
absolute error = 2.77235174929062e-17
relative error = 1.2035264708584564600413637211507e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4607851683454496760052339128298
y[1] (analytic) = 2.304070386382298495705231385788
y[1] (numeric) = 2.3040703863822984679816198488865
absolute error = 2.77236115369015e-17
relative error = 1.2032449920261035157385020494117e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4617784205526370705154657021877
y[1] (analytic) = 2.3046170626670578843420872141536
y[1] (numeric) = 2.3046170626670578566183817461731
absolute error = 2.77237054679805e-17
relative error = 1.2029636470666742007515620041765e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
memory used=431.0MB, alloc=4.4MB, time=53.93
x[1] = 3.4627716727598244650256974915456
y[1] (analytic) = 2.30516372893374032691520401479
y[1] (numeric) = 2.3051637289337402991914047284887
absolute error = 2.77237992863013e-17
relative error = 1.2026824358860191596510382785204e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.265
Order of pole = 0.8693
x[1] = 3.4637649249670118595359292809035
y[1] (analytic) = 2.3057103851863554705115121302634
y[1] (numeric) = 2.3057103851863554427876191382416
absolute error = 2.77238929920218e-17
relative error = 1.2024013583900763534590819816052e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4647581771741992540461610702614
y[1] (analytic) = 2.3062570314289105554606641139831
y[1] (numeric) = 2.3062570314289105277366775286837
absolute error = 2.77239865852994e-17
relative error = 1.2021204144848579391898212955806e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4657514293813866485563928596193
y[1] (analytic) = 2.3068036676654104172608307772646
y[1] (numeric) = 2.3068036676654103895367507109729
absolute error = 2.77240800662917e-17
relative error = 1.2018396040764805180842802260425e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4667446815885740430666246489772
y[1] (analytic) = 2.3073502938998574885025714352722
y[1] (numeric) = 2.3073502938998574607783980001164
absolute error = 2.77241734351558e-17
relative error = 1.2015589270711346652027076360003e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.246
Order of pole = 1.291
x[1] = 3.4677379337957614375768564383351
y[1] (analytic) = 2.3078969101362518007907806623486
y[1] (numeric) = 2.3078969101362517730665139702999
absolute error = 2.77242666920487e-17
relative error = 1.2012783833751021647730810208483e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.468731186002948832087088227693
y[1] (analytic) = 2.3084435163785909866647138640022
y[1] (numeric) = 2.3084435163785909589403540268756
absolute error = 2.77243598371266e-17
relative error = 1.2009979728947255699105719721957e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.9529
Order of pole = 0.5184
x[1] = 3.4697244382101362265973200170509
y[1] (analytic) = 2.3089901126308702815160939695975
y[1] (numeric) = 2.3089901126308702537916410990513
absolute error = 2.77244528705462e-17
relative error = 1.2007176955364644235408293864183e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.367
Order of pole = 0.8861
x[1] = 3.4707176904173236211075518064088
y[1] (analytic) = 2.309536698897082525505301546566
y[1] (numeric) = 2.3095366988970824977807557541023
absolute error = 2.77245457924637e-17
relative error = 1.2004375512068518124287270483653e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4717109426245110156177835957667
y[1] (analytic) = 2.310083275181218165475650633743
y[1] (numeric) = 2.310083275181218137751012030708
absolute error = 2.77246386030350e-17
relative error = 1.2001575398125029290787831363923e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4727041948316984101280153851246
y[1] (analytic) = 2.3106298414872652568657525882191
y[1] (numeric) = 2.3106298414872652291410212858038
absolute error = 2.77247313024153e-17
relative error = 1.1998776612600976545505542282955e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.347
Order of pole = 1.078
x[1] = 3.4736974470388858046382471744825
y[1] (analytic) = 2.3111763978192094656199702368896
y[1] (numeric) = 2.3111763978192094378951463461292
absolute error = 2.77248238907604e-17
relative error = 1.1995979154564367216147639805885e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4746906992460731991484789638404
y[1] (analytic) = 2.3117229441810340700969646206786
y[1] (numeric) = 2.3117229441810340423720482524533
absolute error = 2.77249163682253e-17
relative error = 1.1993183023083810022483957090474e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4756839514532605936587107531983
y[1] (analytic) = 2.3122694805767199629763366162237
y[1] (numeric) = 2.3122694805767199352513278812587
absolute error = 2.77250087349650e-17
relative error = 1.1990388217228860258661489969198e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.673
Order of pole = 0.9411
x[1] = 3.4766772036604479881689425425562
y[1] (analytic) = 2.3128160070102456531633657166081
y[1] (numeric) = 2.3128160070102456254382647254742
absolute error = 2.77251009911339e-17
relative error = 1.1987594736069759163540431454369e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4776704558676353826791743319141
y[1] (analytic) = 2.3133625234855872676918482495455
y[1] (numeric) = 2.3133625234855872399666551126589
absolute error = 2.77251931368866e-17
relative error = 1.1984802578677778840283235717530e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.72
Order of pole = 0.5597
x[1] = 3.478663708074822777189406121272
y[1] (analytic) = 2.3139090300067185536250373082354
y[1] (numeric) = 2.3139090300067185258997521358582
absolute error = 2.77252851723772e-17
relative error = 1.1982011744124918433617621488382e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4796569602820101716996379106299
y[1] (analytic) = 2.3144555265776108799546866669348
y[1] (numeric) = 2.3144555265776108522293095691752
absolute error = 2.77253770977596e-17
relative error = 1.1979222231484032804741724206517e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4806502124891975662098696999878
y[1] (analytic) = 2.315002013202233239498200950116
y[1] (numeric) = 2.3150020132022332117727320369287
absolute error = 2.77254689131873e-17
relative error = 1.1976434039828745041565934511909e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4816434646963849607201014893457
y[1] (analytic) = 2.3155484898845522507938943209172
y[1] (numeric) = 2.3155484898845522230683337021033
absolute error = 2.77255606188139e-17
relative error = 1.1973647168233661397158060462399e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4826367169035723552303332787036
y[1] (analytic) = 2.3160949566285321599943599514254
y[1] (numeric) = 2.3160949566285321322687077366328
absolute error = 2.77256522147926e-17
relative error = 1.1970861615774154162807087022071e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4836299691107597497405650680615
y[1] (analytic) = 2.3166414134381348427579525341799
y[1] (numeric) = 2.3166414134381348150322088329038
absolute error = 2.77257437012761e-17
relative error = 1.1968077381526317512277830706865e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.108
Order of pole = 0.6944
x[1] = 3.4846232213179471442507968574194
y[1] (analytic) = 2.3171878603173198061383860911309
y[1] (numeric) = 2.3171878603173197784125510127137
absolute error = 2.77258350784172e-17
relative error = 1.1965294464567225498978241583108e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 9.765
Order of pole = 2.419
x[1] = 3.4856164735251345387610286467773
y[1] (analytic) = 2.3177342972700441904724493331377
y[1] (numeric) = 2.3177342972700441627465229867694
absolute error = 2.77259263463683e-17
relative error = 1.1962512863974715086865578992056e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4866097257323219332712604361352
y[1] (analytic) = 2.3182807243002627712658408199547
y[1] (numeric) = 2.318280724300262743539823314673
absolute error = 2.77260175052817e-17
relative error = 1.1959732578827514571648955067824e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.053
Order of pole = 0.5848
x[1] = 3.4876029779395093277814922254931
y[1] (analytic) = 2.3188271414119279610771261675124
y[1] (numeric) = 2.318827141411927933351017612203
absolute error = 2.77261085553094e-17
relative error = 1.1956953608205156194296184983403e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.488596230146696722291724014851
y[1] (analytic) = 2.3193735486089898113998195461708
y[1] (numeric) = 2.3193735486089897836736200495681
absolute error = 2.77261994966027e-17
relative error = 1.1954175951187802648013075311761e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4895894823538841168019558042089
y[1] (analytic) = 2.3199199458953960145425917104966
y[1] (numeric) = 2.3199199458953959868163013811832
absolute error = 2.77262903293134e-17
relative error = 1.1951399606856763509490219296834e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.387
Order of pole = 0.7303
x[1] = 3.4905827345610715113121875935668
y[1] (analytic) = 2.32046633327509190550760679799
memory used=434.8MB, alloc=4.4MB, time=54.38
y[1] (numeric) = 2.3204663332750918777812257443971
absolute error = 2.77263810535929e-17
relative error = 1.1948624574294105950151881519825e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4915759867682589058224193829247
y[1] (analytic) = 2.3210127107520204638669901310744
y[1] (numeric) = 2.3210127107520204361405184614826
absolute error = 2.77264716695918e-17
relative error = 1.1945850852582481420601545426227e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4925692389754463003326511722826
y[1] (analytic) = 2.32155907833012231563742925355
y[1] (numeric) = 2.321559078330122287910867076089
absolute error = 2.77265621774610e-17
relative error = 1.1943078440805598697446457021597e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4935624911826336948428829616405
y[1] (analytic) = 2.322105436013335735152910429601
y[1] (numeric) = 2.3221054360133357074262578522501
absolute error = 2.77266525773509e-17
relative error = 1.1940307338047878039460151608949e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4945557433898210893531147509984
y[1] (analytic) = 2.32265178380559664693559283035
y[1] (numeric) = 2.3226517838055966192088499609379
absolute error = 2.77267428694121e-17
relative error = 1.1937537543394751645547650343896e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.065
Order of pole = 0.8312
x[1] = 3.4955489955970084838633465403563
y[1] (analytic) = 2.3231981217108386275648226298509
y[1] (numeric) = 2.3231981217108385998379895760566
absolute error = 2.77268330537943e-17
relative error = 1.1934769055932188894869568894607e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.4965422478041958783735783297142
y[1] (analytic) = 2.3237444497329929075442892293252
y[1] (numeric) = 2.3237444497329928798173660986779
absolute error = 2.77269231306473e-17
relative error = 1.1932001874747125970651514675297e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.351
Order of pole = 1.582
x[1] = 3.4975355000113832728838101190721
y[1] (analytic) = 2.3242907678759883731673258253535
y[1] (numeric) = 2.3242907678759883454403127252329
absolute error = 2.77270131001206e-17
relative error = 1.1929235998927292543932642141665e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.49852875221857066739404190843
y[1] (analytic) = 2.3248370761437515683803565346556
y[1] (numeric) = 2.3248370761437515406532535722918
absolute error = 2.77271029623638e-17
relative error = 1.1926471427561382811947438789761e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 16.2
Order of pole = 5.753
x[1] = 3.4995220044257580619042736977879
y[1] (analytic) = 2.3253833745402066966444922850133
y[1] (numeric) = 2.3253833745402066689172995674874
absolute error = 2.77271927175259e-17
relative error = 1.1923708159738753255261964371090e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5005152566329454564145054871458
y[1] (analytic) = 2.3259296630692756227952776788194
y[1] (numeric) = 2.325929663069275595067995313064
absolute error = 2.77272823657554e-17
relative error = 1.1920946194549464769461341359314e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5015085088401328509247372765037
y[1] (analytic) = 2.3264759417348778749005910326677
y[1] (numeric) = 2.3264759417348778471732191254665
absolute error = 2.77273719072012e-17
relative error = 1.1918185531084668605324522806385e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.884
Order of pole = 0.9769
x[1] = 3.5025017610473202454349690658616
y[1] (analytic) = 2.327022210540930646116699793334
y[1] (numeric) = 2.3270222105409306183892384513222
absolute error = 2.77274613420118e-17
relative error = 1.1915426168436261218130763194610e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5034950132545076399452008552195
y[1] (analytic) = 2.3275684694913487965424735274441
y[1] (numeric) = 2.3275684694913487688149228571091
absolute error = 2.77275506703350e-17
relative error = 1.1912668105696754419582228790823e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5044882654616950344554326445774
y[1] (analytic) = 2.3281147185900448550717566790702
y[1] (numeric) = 2.3281147185900448273441167867514
absolute error = 2.77276398923188e-17
relative error = 1.1909911341959661151163230880916e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5054815176688824289656644339353
y[1] (analytic) = 2.3286609578409290212439032864475
y[1] (numeric) = 2.3286609578409289935161742783366
absolute error = 2.77277290081109e-17
relative error = 1.1907155876319279510782057032228e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5064747698760698234758962232932
y[1] (analytic) = 2.3292071872479091670924758459604
y[1] (numeric) = 2.3292071872479091393646578281017
absolute error = 2.77278180178587e-17
relative error = 1.1904401707870691748757483911312e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5074680220832572179861280126511
y[1] (analytic) = 2.3297534068148908389921105085112
y[1] (numeric) = 2.3297534068148908112642035868017
absolute error = 2.77279069217095e-17
relative error = 1.1901648835709849111335058545803e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.508461274290444612496359802009
y[1] (analytic) = 2.3302996165457772595035507903466
y[1] (numeric) = 2.3302996165457772317755550705365
absolute error = 2.77279957198101e-17
relative error = 1.1898897258933399087383713092259e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.467
Order of pole = 0.6213
x[1] = 3.5094545264976320070065915913669
y[1] (analytic) = 2.3308458164444693292168519773924
y[1] (numeric) = 2.3308458164444693014887675650853
absolute error = 2.77280844123071e-17
relative error = 1.1896146976638813218277782908606e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5104477787048194015168233807248
y[1] (analytic) = 2.3313920065148656285927583991203
y[1] (numeric) = 2.3313920065148656008645853997728
absolute error = 2.77281729993475e-17
relative error = 1.1893397987924643406726740961596e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5114410309120067960270551700827
y[1] (analytic) = 2.33193818676086241980225574495
y[1] (numeric) = 2.331938186760862392073994263873
absolute error = 2.77282614810770e-17
relative error = 1.1890650291889791561520548213723e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.186
Order of pole = 0.5952
x[1] = 3.5124342831191941905372869594406
y[1] (analytic) = 2.3324843571863536485643005931821
y[1] (numeric) = 2.3324843571863536208359507355402
absolute error = 2.77283498576419e-17
relative error = 1.1887903887634323687238177895907e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5134275353263815850475187487985
y[1] (analytic) = 2.3330305177952309459817293194376
y[1] (numeric) = 2.3330305177952309182532911902497
absolute error = 2.77284381291879e-17
relative error = 1.1885158774258954086712874931524e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5144207875335689795577505381564
y[1] (analytic) = 2.333576668591383630375348548584
y[1] (numeric) = 2.3335766685913836026468222527232
absolute error = 2.77285262958608e-17
relative error = 1.1882414950865344488750662178613e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.432
Order of pole = 1.323
x[1] = 3.5154140397407563740679823275143
y[1] (analytic) = 2.3341228095786987091162093111213
y[1] (numeric) = 2.3341228095786986813875949533155
absolute error = 2.77286143578058e-17
relative error = 1.1879672416555802958958925135681e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5164072919479437685782141168722
y[1] (analytic) = 2.3346689407610608804560670620102
y[1] (numeric) = 2.3346689407610608527273647468424
absolute error = 2.77287023151678e-17
relative error = 1.1876931170433411559548070533928e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5174005441551311630884459062301
y[1] (analytic) = 2.3352150621423525353560297169324
y[1] (numeric) = 2.3352150621423525076272395488406
absolute error = 2.77287901680918e-17
relative error = 1.1874191211602196652723602961691e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 9.8
Order of pole = 2.408
x[1] = 3.518393796362318557598677695588
y[1] (analytic) = 2.3357611737264537593133958579853
y[1] (numeric) = 2.3357611737264537315845179412627
absolute error = 2.77288779167226e-17
relative error = 1.1871452539166999277118121096683e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=438.7MB, alloc=4.4MB, time=54.85
Complex estimate of poles used
Radius of convergence = 1.749
Order of pole = 0.5607
x[1] = 3.5193870485695059521089094849459
y[1] (analytic) = 2.3363072755172423341866852578344
y[1] (numeric) = 2.3363072755172423064577196966299
absolute error = 2.77289655612045e-17
relative error = 1.1868715152233345706147298114271e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5203803007766933466191412743038
y[1] (analytic) = 2.3368533675185937400188638683714
y[1] (numeric) = 2.3368533675185937122898107666897
absolute error = 2.77290531016817e-17
relative error = 1.1865979049907617736086614970248e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5213735529838807411293730636617
y[1] (analytic) = 2.33739944973438115685876541695
y[1] (numeric) = 2.3373994497343811291296248786519
absolute error = 2.77291405382981e-17
relative error = 1.1863244231296966040023250994428e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5223668051910681356396048530196
y[1] (analytic) = 2.3379455221684754665807117503082
y[1] (numeric) = 2.3379455221684754388514838791106
absolute error = 2.77292278711976e-17
relative error = 1.1860510695509437506340887905079e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.389
Order of pole = 0.7277
x[1] = 3.5233600573982555301498366423775
y[1] (analytic) = 2.3384915848247452547023340633209
y[1] (numeric) = 2.3384915848247452269730189627974
absolute error = 2.77293151005235e-17
relative error = 1.1857778441653717535437775103964e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5243533096054429246600684317354
y[1] (analytic) = 2.3390376377070568122005971467718
y[1] (numeric) = 2.3390376377070567844711949203526
absolute error = 2.77294022264192e-17
relative error = 1.1855047468839428481669889290779e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5253465618126303191703002210933
y[1] (analytic) = 2.339583680819274137326028785377
y[1] (numeric) = 2.3395836808192741095965395363494
absolute error = 2.77294892490276e-17
relative error = 1.1852317776176872023063837257352e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5263398140198177136805320104512
y[1] (analytic) = 2.3401297141652589374151564343478
y[1] (numeric) = 2.340129714165258909685580265856
absolute error = 2.77295761684918e-17
relative error = 1.1849589362777327416603829438446e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5273330662270051081907637998091
y[1] (analytic) = 2.3406757377488706307011532998326
y[1] (numeric) = 2.3406757377488706029714903148784
absolute error = 2.77296629849542e-17
relative error = 1.1846862227752665772889664962091e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.109
Order of pole = 1.238
x[1] = 3.528326318434192502700995589167
y[1] (analytic) = 2.3412217515739663481226959456442
y[1] (numeric) = 2.3412217515739663203929462470871
absolute error = 2.77297496985571e-17
relative error = 1.1844136370215605561798894030010e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.359
Order of pole = 0.7231
x[1] = 3.5293195706413798972112273785249
y[1] (analytic) = 2.3417677556444009351310355457386
y[1] (numeric) = 2.3417677556444009074011992362959
absolute error = 2.77298363094427e-17
relative error = 1.1841411789279711544117868788537e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5303128228485672917214591678828
y[1] (analytic) = 2.3423137499640269534952848989858
y[1] (numeric) = 2.3423137499640269257653620812325
absolute error = 2.77299228177533e-17
relative error = 1.1838688484059479090447172912751e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5313060750557546862316909572407
y[1] (analytic) = 2.3428597345366946831059233198444
y[1] (numeric) = 2.3428597345366946553759140962142
absolute error = 2.77300092236302e-17
relative error = 1.1835966453669863504895301409985e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5322993272629420807419227465986
y[1] (analytic) = 2.343405709366252123776521515637
y[1] (numeric) = 2.3434057093662520960464259884222
absolute error = 2.77300955272148e-17
relative error = 1.1833245697226748811433111581495e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5332925794701294752521545359565
y[1] (analytic) = 2.3439516744565449970436885582003
y[1] (numeric) = 2.3439516744565449693135068295517
absolute error = 2.77301817286486e-17
relative error = 1.1830526213846946592241886714151e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.26
Order of pole = 1.273
x[1] = 3.5342858316773168697623863253144
y[1] (analytic) = 2.3444976298114167479652430547774
y[1] (numeric) = 2.3444976298114167202349752267047
absolute error = 2.77302678280727e-17
relative error = 1.1827808002647981562507307567270e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5352790838845042642726181146723
y[1] (analytic) = 2.3450435754347085469166106201115
y[1] (numeric) = 2.3450435754347085191862567944838
absolute error = 2.77303538256277e-17
relative error = 1.1825091062748048017383300534245e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5362723360916916587828499040302
y[1] (analytic) = 2.3455895113302592913854497487992
y[1] (numeric) = 2.3455895113302592636550100273451
absolute error = 2.77304397214541e-17
relative error = 1.1822375393266179505919155586023e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5372655882988790532930816933881
y[1] (analytic) = 2.3461354375019056077645081840623
y[1] (numeric) = 2.3461354375019055800339826683697
absolute error = 2.77305255156926e-17
relative error = 1.1819660993322375644921509509179e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.538258840506066447803313482746
y[1] (analytic) = 2.3466813539534818531427118762037
y[1] (numeric) = 2.3466813539534818254121006677205
absolute error = 2.77306112084832e-17
relative error = 1.1816947862037217395494405158972e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5392520927132538423135452721039
y[1] (analytic) = 2.3472272606888201170944886211284
y[1] (numeric) = 2.3472272606888200893637918211628
absolute error = 2.77306967999656e-17
relative error = 1.1814235998532036721535536259935e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5402453449204412368237770614618
y[1] (analytic) = 2.3477731577117502234673284664226
y[1] (numeric) = 2.3477731577117501957365461761428
absolute error = 2.77307822902798e-17
relative error = 1.1811525401929171198751756457231e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5412385971276286313340088508197
y[1] (analytic) = 2.3483190450260997321675829696054
y[1] (numeric) = 2.3483190450260997044367152900403
absolute error = 2.77308676795651e-17
relative error = 1.1808816071351536930247685123880e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5422318493348160258442406401776
y[1] (analytic) = 2.3488649226356939409445053902954
y[1] (numeric) = 2.3488649226356939132135524223345
absolute error = 2.77309529679609e-17
relative error = 1.1806108005922968385364798019070e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5432251015420034203544724295355
y[1] (analytic) = 2.3494107905443558871725338951604
y[1] (numeric) = 2.3494107905443558594414957395542
absolute error = 2.77310381556062e-17
relative error = 1.1803401204768004434645997999677e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5442183537491908148647042188934
y[1] (analytic) = 2.3499566487559063496318198516561
y[1] (numeric) = 2.3499566487559063219006966090164
absolute error = 2.77311232426397e-17
relative error = 1.1800695667011930006988358052128e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5452116059563782093749360082513
y[1] (analytic) = 2.3505024972741638502870032836971
y[1] (numeric) = 2.3505024972741638225557950544969
absolute error = 2.77312082292002e-17
relative error = 1.1797991391780945321146968091753e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5462048581635656038851677976092
y[1] (analytic) = 2.3510483361029446560642375595449
y[1] (numeric) = 2.3510483361029446283329444441189
absolute error = 2.77312931154260e-17
relative error = 1.1795288378201909539441942798225e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=442.5MB, alloc=4.4MB, time=55.32
NO POLE
x[1] = 3.5471981103707529983953995869671
y[1] (analytic) = 2.3515941652460627806264653793499
y[1] (numeric) = 2.3515941652460627528950874778946
absolute error = 2.77313779014553e-17
relative error = 1.1792586625402510022036473504858e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.548191362577940392905631376325
y[1] (analytic) = 2.3521399847073299861469481269317
y[1] (numeric) = 2.3521399847073299584154855395058
absolute error = 2.77314625874259e-17
relative error = 1.1789886132511133744332796453099e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5491846147851277874158631656829
y[1] (analytic) = 2.352685794490555785081050647543
y[1] (numeric) = 2.3526857944905557573495034740673
absolute error = 2.77315471734757e-17
relative error = 1.1787186898657078930375945504883e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5501778669923151819260949550408
y[1] (analytic) = 2.3532315945995474419362835105203
y[1] (numeric) = 2.3532315945995474142046518507781
absolute error = 2.77316316597422e-17
relative error = 1.1784488922970341444305231867325e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5511711191995025764363267443987
y[1] (analytic) = 2.3537773850381099750406048128923
y[1] (numeric) = 2.3537773850381099473088887665297
absolute error = 2.77317160463626e-17
relative error = 1.1781792204581656388524525109910e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5521643714066899709465585337566
y[1] (analytic) = 2.3543231658100461583089835771871
y[1] (numeric) = 2.354323165810046130577183243713
absolute error = 2.77318003334741e-17
relative error = 1.1779096742622624594227564615583e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5531576236138773654567903231145
y[1] (analytic) = 2.3548689369191565230082267938522
y[1] (numeric) = 2.3548689369191564952763422726387
absolute error = 2.77318845212135e-17
relative error = 1.1776402536225541679682536493371e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5541508758210647599670221124724
y[1] (analytic) = 2.3554146983692393595200721558826
y[1] (numeric) = 2.355414698369239331788103546165
absolute error = 2.77319686097176e-17
relative error = 1.1773709584523566989236467470724e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5551441280282521544772539018303
y[1] (analytic) = 2.3559604501640907191025485304338
y[1] (numeric) = 2.3559604501640906913704959313111
absolute error = 2.77320525991227e-17
relative error = 1.1771017886650510287815127235760e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5561373802354395489874856911882
y[1] (analytic) = 2.356506192307504415649606209386
y[1] (numeric) = 2.356506192307504387917469719821
absolute error = 2.77321364895650e-17
relative error = 1.1768327441741000673277334815595e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5571306324426269434977174805461
y[1] (analytic) = 2.3570519248032720274490189780174
y[1] (numeric) = 2.3570519248032719997167986968368
absolute error = 2.77322202811806e-17
relative error = 1.1765638248930485550707742247995e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.558123884649814338007949269904
y[1] (analytic) = 2.3575976476551828989385600381404
y[1] (numeric) = 2.3575976476551828712062560640351
absolute error = 2.77323039741053e-17
relative error = 1.1762950307355144776133563235291e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5591171368570017325181810592619
y[1] (analytic) = 2.358143360867024142460453819258
y[1] (numeric) = 2.3581433608670241147280662507833
absolute error = 2.77323875684747e-17
relative error = 1.1760263616151932138297561094255e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5601103890641891270284128486198
y[1] (analytic) = 2.3586890644425806400141057085004
y[1] (numeric) = 2.3586890644425806122816346440765
absolute error = 2.77324710644239e-17
relative error = 1.1757578174458447197231885675815e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5611036412713765215386446379777
y[1] (analytic) = 2.3592347583856350450071117273152
y[1] (numeric) = 2.3592347583856350172745572652268
absolute error = 2.77325544620884e-17
relative error = 1.1754893981413315940313833382046e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5620968934785639160488764273356
y[1] (analytic) = 2.3597804426999677840045501800935
y[1] (numeric) = 2.3597804426999677562719124184904
absolute error = 2.77326377616031e-17
relative error = 1.1752211036155765750629197770085e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5630901456857513105591082166935
y[1] (analytic) = 2.3603261173893570584765572971399
y[1] (numeric) = 2.3603261173893570307438363340372
absolute error = 2.77327209631027e-17
relative error = 1.1749529337825794103408692972355e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5640833978929387050693400060514
y[1] (analytic) = 2.3608717824575788465441888916112
y[1] (numeric) = 2.3608717824575788188113848248896
absolute error = 2.77328040667216e-17
relative error = 1.1746848885564125242450238594787e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5650766501001260995795717954093
y[1] (analytic) = 2.3614174379084069047235700472809
y[1] (numeric) = 2.3614174379084068769906829746866
absolute error = 2.77328870725943e-17
relative error = 1.1744169678512378653954254413227e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5660699023073134940898035847672
y[1] (analytic) = 2.3619630837456127696683348512131
y[1] (numeric) = 2.3619630837456127419353648703583
absolute error = 2.77329699808548e-17
relative error = 1.1741491715812813930307732333357e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5670631545145008886000353741251
y[1] (analytic) = 2.3625087199729657599103581826715
y[1] (numeric) = 2.3625087199729657321773053910344
absolute error = 2.77330527916371e-17
relative error = 1.1738814996608541594287196200947e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.568056406721688283110267163483
y[1] (analytic) = 2.3630543465942329775987815668246
y[1] (numeric) = 2.3630543465942329498656460617499
absolute error = 2.77331355050747e-17
relative error = 1.1736139520043310450165130671937e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5690496589288756776204989528409
y[1] (analytic) = 2.3635999636131793102373350990566
y[1] (numeric) = 2.3635999636131792825041169777554
absolute error = 2.77332181213012e-17
relative error = 1.1733465285261760621244973892871e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5700429111360630721307307421988
y[1] (analytic) = 2.364145571033567432419957442939
y[1] (numeric) = 2.3641455710335674046866568024892
absolute error = 2.77333006404498e-17
relative error = 1.1730792291409210952740254755159e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5710361633432504666409625315567
y[1] (analytic) = 2.364691168859157807564715902175
y[1] (numeric) = 2.3646911688591577798313328395214
absolute error = 2.77333830626536e-17
relative error = 1.1728120537631785019646827064564e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5720294155504378611511943209146
y[1] (analytic) = 2.3652367570937086896460285640841
y[1] (numeric) = 2.3652367570937086619125631760386
absolute error = 2.77334653880455e-17
relative error = 1.1725450023076367844061675125068e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5730226677576252556614261102725
y[1] (analytic) = 2.3657823357409761249251905094567
y[1] (numeric) = 2.3657823357409760971916428926987
absolute error = 2.77335476167580e-17
relative error = 1.1722780746890520403188922977497e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5740159199648126501716578996304
y[1] (analytic) = 2.3663279048047139536792060808757
y[1] (numeric) = 2.366327904804713925945576331952
absolute error = 2.77336297489237e-17
relative error = 1.1720112708222690072711162031465e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
memory used=446.3MB, alloc=4.4MB, time=55.77
x[1] = 3.5750091721720000446818896889883
y[1] (analytic) = 2.3668734642886738119279291988709
y[1] (numeric) = 2.3668734642886737841942174141961
absolute error = 2.77337117846748e-17
relative error = 1.1717445906221998280932008011914e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 14.29
Order of pole = 4.467
x[1] = 3.5760024243791874391921214783462
y[1] (analytic) = 2.3674190141966051331595137125491
y[1] (numeric) = 2.367419014196605105425719988406
absolute error = 2.77337937241431e-17
relative error = 1.1714780340038239657102090235807e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.577988928793562228212585057062
y[1] (analytic) = 2.3685100852993688962062701800249
y[1] (numeric) = 2.3685100852993688684723128652659
absolute error = 2.77339573147590e-17
relative error = 1.1709452911725116849834969291718e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5789821810007496227228168464199
y[1] (analytic) = 2.3690556065016892078446827726488
y[1] (numeric) = 2.3690556065016891801106438064792
absolute error = 2.77340389661696e-17
relative error = 1.1706791047899290749183107645055e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5799754332079370172330486357778
y[1] (analytic) = 2.3696011181429567255515406859204
y[1] (numeric) = 2.3696011181429566978174201640969
absolute error = 2.77341205218235e-17
relative error = 1.1704130416497514431131073279764e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5809686854151244117432804251357
y[1] (analytic) = 2.3701466202269098959792426003582
y[1] (numeric) = 2.3701466202269098682450406185066
absolute error = 2.77342019818516e-17
relative error = 1.1701471016673399061195006097702e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5819619376223118062535122144936
y[1] (analytic) = 2.3706921127572849735658108624558
y[1] (numeric) = 2.3706921127572849458315275160708
absolute error = 2.77342833463850e-17
relative error = 1.1698812847581476586938545902818e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5829551898294992007637440038515
y[1] (analytic) = 2.3712375957378160222485674745855
y[1] (numeric) = 2.3712375957378159945142028590313
absolute error = 2.77343646155542e-17
relative error = 1.1696155908376861228063611160551e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5839484420366865952739757932094
y[1] (analytic) = 2.3717830691722349171761359149164
y[1] (numeric) = 2.371783069172234889441690125427
absolute error = 2.77344457894894e-17
relative error = 1.1693500198215375219824223285617e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5849416942438739897842075825673
y[1] (analytic) = 2.3723285330642713464187707496516
y[1] (numeric) = 2.3723285330642713186842438813308
absolute error = 2.77345268683208e-17
relative error = 1.1690845716253674383067523491822e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5859349464510613842944393719252
y[1] (analytic) = 2.3728739874176528126770169972082
y[1] (numeric) = 2.3728739874176527849424091450295
absolute error = 2.77346078521787e-17
relative error = 1.1688192461649289235215450667728e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5869281986582487788046711612831
y[1] (analytic) = 2.3734194322361046349887012012842
y[1] (numeric) = 2.3734194322361046072540124600918
absolute error = 2.77346887411924e-17
relative error = 1.1685540433560160445036993839202e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.815
Order of pole = 0.6531
x[1] = 3.587921450865436173314902950641
y[1] (analytic) = 2.3739648675233499504342561670854
y[1] (numeric) = 2.3739648675233499226994866315937
absolute error = 2.77347695354917e-17
relative error = 1.1682889631145270142117582381510e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.087
Order of pole = 0.8227
x[1] = 3.5889147030726235678251347399989
y[1] (analytic) = 2.3745102932831097158403813123082
y[1] (numeric) = 2.3745102932831096881055310771023
absolute error = 2.77348502352059e-17
relative error = 1.1680240053564219507675974355819e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5899079552798109623353665293568
y[1] (analytic) = 2.3750557095191027094820405818156
y[1] (numeric) = 2.3750557095191026817471097413513
absolute error = 2.77349308404643e-17
relative error = 1.1677591699977438511660916721871e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5909012074869983568455983187147
y[1] (analytic) = 2.3756011162350455327827998722759
y[1] (numeric) = 2.3756011162350455050477885208801
absolute error = 2.77350113513958e-17
relative error = 1.1674944569546016509549998221656e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5918944596941857513558301080726
y[1] (analytic) = 2.3761465134346526120135059103801
y[1] (numeric) = 2.3761465134346525842784141422511
absolute error = 2.77350917681290e-17
relative error = 1.1672298661431743497294581182055e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5928877119013731458660618974305
y[1] (analytic) = 2.3766919011216361999893085255974
y[1] (numeric) = 2.3766919011216361722541364348049
absolute error = 2.77351720907925e-17
relative error = 1.1669653974797235460144539077504e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5938809641085605403762936867884
y[1] (analytic) = 2.3772372792997063777650282557796
y[1] (numeric) = 2.3772372792997063500297759362647
absolute error = 2.77352523195149e-17
relative error = 1.1667010508805933352124272496409e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.704
Order of pole = 0.9265
x[1] = 3.5948742163157479348865254761463
y[1] (analytic) = 2.37778264797257105632887122128
y[1] (numeric) = 2.3777826479725710285935387668559
absolute error = 2.77353324544241e-17
relative error = 1.1664368262621807685104595741917e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5958674685229353293967572655042
y[1] (analytic) = 2.378328007143935978294493200612
y[1] (numeric) = 2.3783280071439359505590807049639
absolute error = 2.77354124956481e-17
relative error = 1.1661727235409694219594568333905e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5968607207301227239069890548621
y[1] (analytic) = 2.378873356817504719591414838033
y[1] (numeric) = 2.3788733568175046918559223947184
absolute error = 2.77354924433146e-17
relative error = 1.1659087426335124753417984532998e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.59785397293731011841722084422
y[1] (analytic) = 2.3794186969969786911537899108091
y[1] (numeric) = 2.3794186969969786634182176132576
absolute error = 2.77355722975515e-17
relative error = 1.1656448834564536386838043375368e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 14.59
Order of pole = 4.598
x[1] = 3.5988472251444975129274526335779
y[1] (analytic) = 2.3799640276860571406075285812838
y[1] (numeric) = 2.379964027686057112871876522798
absolute error = 2.77356520584858e-17
relative error = 1.1653811459264808221018348873911e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.5998404773516849074376844229358
y[1] (analytic) = 2.3805093488884371539557775562538
y[1] (numeric) = 2.3805093488884371262200458300091
absolute error = 2.77357317262447e-17
relative error = 1.1651175299603722865355542629847e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6008337295588723019479162122937
y[1] (analytic) = 2.381054660607813657262759073529
y[1] (numeric) = 2.3810546606078136295269477725737
absolute error = 2.77358113009553e-17
relative error = 1.1648540354749839335988474603708e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6018269817660596964581480016516
y[1] (analytic) = 2.3815999628478794183359706329402
y[1] (numeric) = 2.381599962847879390600079850196
absolute error = 2.77358907827442e-17
relative error = 1.1645906623872324140453654526007e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6028202339732470909683797910095
y[1] (analytic) = 2.382145255612325048406747386446
y[1] (numeric) = 2.3821452556123250206707772147077
absolute error = 2.77359701717383e-17
relative error = 1.1643274106141286342063976461195e-15 %
memory used=450.1MB, alloc=4.4MB, time=56.23
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6038134861804344854786115803674
y[1] (analytic) = 2.3826905389048390038091890993782
y[1] (numeric) = 2.3826905389048389760731396313147
absolute error = 2.77360494680635e-17
relative error = 1.1640642800727230807717826903499e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6048067383876218799888433697253
y[1] (analytic) = 2.3832358127291075876574535922666
y[1] (numeric) = 2.3832358127291075599213249204205
absolute error = 2.77361286718461e-17
relative error = 1.1638012706801645119881683272592e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6057999905948092744990751590832
y[1] (analytic) = 2.3837810770888149515214185700764
y[1] (numeric) = 2.3837810770888149237852107868641
absolute error = 2.77362077832123e-17
relative error = 1.1635383823536788630099307678816e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6067932428019966690093069484411
y[1] (analytic) = 2.3843263319876430971007137431006
y[1] (numeric) = 2.3843263319876430693644269408127
absolute error = 2.77362868022879e-17
relative error = 1.1632756150105565683195218556372e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.607786495009184063519538737799
y[1] (analytic) = 2.3848715774292718778971251411558
y[1] (numeric) = 2.3848715774292718501607594119576
absolute error = 2.77363657291982e-17
relative error = 1.1630129685681482877449047683093e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.093
Order of pole = 1.464
x[1] = 3.6087797472163714580297705271569
y[1] (analytic) = 2.385416813417379000885373520141
y[1] (numeric) = 2.3854168134173789731489289560723
absolute error = 2.77364445640687e-17
relative error = 1.1627504429438941754641904338016e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6097729994235588525400023165148
y[1] (analytic) = 2.3859620399556400281822687574349
y[1] (numeric) = 2.3859620399556400004457454504101
absolute error = 2.77365233070248e-17
relative error = 1.1624880380553111970744443565935e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6107662516307462470502341058727
y[1] (analytic) = 2.3865072570477283787142421300262
y[1] (numeric) = 2.386507257047728350977640171835
absolute error = 2.77366019581912e-17
relative error = 1.1622257538199678933849707671167e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6117595038379336415604658952306
y[1] (analytic) = 2.3870524646973153298832583666988
y[1] (numeric) = 2.387052464697315302146577849006
absolute error = 2.77366805176928e-17
relative error = 1.1619635901555220178094782504035e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6127527560451210360706976845885
y[1] (analytic) = 2.387597662908070019231109363016
y[1] (numeric) = 2.3875976629080699914943503773618
absolute error = 2.77367589856542e-17
relative error = 1.1617015469796994858563966841106e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6137460082523084305809294739464
y[1] (analytic) = 2.388142851683659446102091445284
y[1] (numeric) = 2.3881428516836594183652540830839
absolute error = 2.77368373622001e-17
relative error = 1.1614396242103110396520235285113e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6147392604594958250911612633043
y[1] (analytic) = 2.388688031027748473304068067108
y[1] (numeric) = 2.3886880310277484455671524196535
absolute error = 2.77369156474545e-17
relative error = 1.1611778217652186528712388068389e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6157325126666832196013930526622
y[1] (analytic) = 2.3892332009439998287679198195969
y[1] (numeric) = 2.3892332009439998010309259780557
absolute error = 2.77369938415412e-17
relative error = 1.1609161395623563924355400125054e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6167257648738706141116248420201
y[1] (analytic) = 2.3897783614360741072053836337134
y[1] (numeric) = 2.389778361436074079468311689129
absolute error = 2.77370719445844e-17
relative error = 1.1606545775197554361545375624495e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.617719017081058008621856631378
y[1] (analytic) = 2.3903235125076297717652830507143
y[1] (numeric) = 2.3903235125076297440281330940067
absolute error = 2.77371499567076e-17
relative error = 1.1603931355554979360634601104653e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6187122692882454031320884207359
y[1] (analytic) = 2.3908686541623231556881514340799
y[1] (numeric) = 2.3908686541623231279509235560456
absolute error = 2.77372278780343e-17
relative error = 1.1601318135877462313344707856747e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6197055214954327976423202100938
y[1] (analytic) = 2.3914137864038084639592499937846
y[1] (numeric) = 2.3914137864038084362219442850969
absolute error = 2.77373057086877e-17
relative error = 1.1598706115347302049736885843579e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6206987737026201921525519994517
y[1] (analytic) = 2.3919589092357377749599824912214
y[1] (numeric) = 2.3919589092357377472225990424305
absolute error = 2.77373834487909e-17
relative error = 1.1596095293147555611863342982938e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6216920259098075866627837888096
y[1] (analytic) = 2.3925040226617610421177084905556
y[1] (numeric) = 2.3925040226617610143802473920888
absolute error = 2.77374610984668e-17
relative error = 1.1593485668461995522723460486275e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.266
Order of pole = 0.5306
x[1] = 3.6226852781169949811730155781675
y[1] (analytic) = 2.3930491266855260955539570197516
y[1] (numeric) = 2.3930491266855260678164183619134
absolute error = 2.77375386578382e-17
relative error = 1.1590877240475150689109524862766e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6236785303241823756832473675254
y[1] (analytic) = 2.3935942213106786437310425019874
y[1] (numeric) = 2.39359422131067861599342637496
absolute error = 2.77376161270274e-17
relative error = 1.1588270008372138357786345739748e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 17.24
Order of pole = 6.163
x[1] = 3.6246717825313697701934791568833
y[1] (analytic) = 2.3941393065408622750970848156473
y[1] (numeric) = 2.3941393065408622473593913094905
absolute error = 2.77376935061568e-17
relative error = 1.1585663971338913987969632429412e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.195
Order of pole = 0.8351
x[1] = 3.6256650347385571647037109462412
y[1] (analytic) = 2.3946843823797184597294353385608
y[1] (numeric) = 2.3946843823797184319916645432123
absolute error = 2.77377707953485e-17
relative error = 1.1583059128562103191078239818525e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 11.44
Order of pole = 2.993
x[1] = 3.6266582869457445592139427355991
y[1] (analytic) = 2.3952294488308865509765108296409
y[1] (numeric) = 2.3952294488308865232386628349164
absolute error = 2.77378479947245e-17
relative error = 1.1580455479229084397983031652031e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.627651539152931953724174524957
y[1] (analytic) = 2.3957745058980037870980369985607
y[1] (numeric) = 2.3957745058980037593601118941543
absolute error = 2.77379251044064e-17
relative error = 1.1577853022527862712732860061404e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6286447913601193482344063143149
y[1] (analytic) = 2.3963195535847052929037036115994
y[1] (numeric) = 2.3963195535847052651657014870835
absolute error = 2.77380021245159e-17
relative error = 1.1575251757647277783828498599178e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6296380435673067427446381036728
y[1] (analytic) = 2.3968645918946240813902329792809
y[1] (numeric) = 2.3968645918946240536521539241064
absolute error = 2.77380790551745e-17
relative error = 1.1572651683776877622600741196018e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6306312957744941372548698930307
y[1] (analytic) = 2.3974096208313910553768636689296
y[1] (numeric) = 2.3974096208313910276387077724265
absolute error = 2.77381558965031e-17
relative error = 1.1570052800106750882126355913901e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=453.9MB, alloc=4.4MB, time=56.69
NO POLE
x[1] = 3.6316245479816815317651016823886
y[1] (analytic) = 2.3979546403986350091392512827709
y[1] (numeric) = 2.3979546403986349814010186341481
absolute error = 2.77382326486228e-17
relative error = 1.1567455105827859791447277834123e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.839
Order of pole = 1.147
x[1] = 3.6326178001888689262753334717465
y[1] (analytic) = 2.3984996505999826300417881397062
y[1] (numeric) = 2.3984996505999826023034788280519
absolute error = 2.77383093116543e-17
relative error = 1.1564858600131788937735111614324e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6336110523960563207855652611044
y[1] (analytic) = 2.3990446514390585001683436964076
y[1] (numeric) = 2.3990446514390584724299578106891
absolute error = 2.77383858857185e-17
relative error = 1.1562263282210994590096493327835e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.222
Order of pole = 1.017
x[1] = 3.6346043046032437152957970504623
y[1] (analytic) = 2.3995896429194850979514275408874
y[1] (numeric) = 2.3995896429194850702129651699518
absolute error = 2.77384623709356e-17
relative error = 1.1559669151258428576834575506935e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6355975568104311098060288398202
y[1] (analytic) = 2.4001346250448827997997767892194
y[1] (numeric) = 2.4001346250448827720612380217937
absolute error = 2.77385387674257e-17
relative error = 1.1557076206467787640184701092006e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.526
Order of pole = 0.8883
x[1] = 3.6365908090176185043162606291781
y[1] (analytic) = 2.400679597818869881724369713607
y[1] (numeric) = 2.4006795978188698539857546382978
absolute error = 2.77386150753092e-17
relative error = 1.1554484447033679141761565847314e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.637584061224805898826492418536
y[1] (analytic) = 2.4012245612450625209628674275205
y[1] (numeric) = 2.4012245612450624932241761328147
absolute error = 2.77386912947058e-17
relative error = 1.1551893872151203506615775413088e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6385773134319932933367242078939
y[1] (analytic) = 2.4017695153270747976024854511567
y[1] (numeric) = 2.4017695153270747698637180254214
absolute error = 2.77387674257353e-17
relative error = 1.1549304481016286683288225414327e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6395705656391806878469559972518
y[1] (analytic) = 2.4023144600685186962012969780044
y[1] (numeric) = 2.4023144600685186684624535094874
absolute error = 2.77388434685170e-17
relative error = 1.1546716272825429380123575600357e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6405638178463680823571877866097
y[1] (analytic) = 2.4028593954730041074079696608399
y[1] (numeric) = 2.4028593954730040796690502376695
absolute error = 2.77389194231704e-17
relative error = 1.1544129246775997664992995606360e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6415570700535554768674195759676
y[1] (analytic) = 2.4034043215441388295799377330126
y[1] (numeric) = 2.403404321544138801840942443198
absolute error = 2.77389952898146e-17
relative error = 1.1541543402065972270361816143210e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6425503222607428713776513653255
y[1] (analytic) = 2.4039492382855285704000112784318
y[1] (numeric) = 2.4039492382855285426609402098632
absolute error = 2.77390710685686e-17
relative error = 1.1538958737894072623368924479701e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.098
Order of pole = 0.6815
x[1] = 3.6435435744679302658878831546834
y[1] (analytic) = 2.4044941457007769484914244612084
y[1] (numeric) = 2.4044941457007769207522777016574
absolute error = 2.77391467595510e-17
relative error = 1.1536375253459631174618050995926e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6445368266751176603981149440413
y[1] (analytic) = 2.4050390437934854950313245234622
y[1] (numeric) = 2.4050390437934854672921021605818
absolute error = 2.77392223628804e-17
relative error = 1.1533792947962758953471580046375e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.324
Order of pole = 0.8532
x[1] = 3.6455300788823050549083467333992
y[1] (analytic) = 2.4055839325672536553627033573575
y[1] (numeric) = 2.4055839325672536276234054786821
absolute error = 2.77392978786754e-17
relative error = 1.1531211820604344618643957572153e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6465233310894924494185785227571
y[1] (analytic) = 2.4061288120256787906047734549925
y[1] (numeric) = 2.4061288120256787628654001479384
absolute error = 2.77393733070541e-17
relative error = 1.1528631870585845707513895296556e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.647516583296679843928810312115
y[1] (analytic) = 2.4066736821723561792617900373307
y[1] (numeric) = 2.4066736821723561515223413891963
absolute error = 2.77394486481344e-17
relative error = 1.1526053097109412578108584574007e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 11.3
Order of pole = 2.911
x[1] = 3.6485098355038672384390421014729
y[1] (analytic) = 2.4072185430108790188303211609296
y[1] (numeric) = 2.4072185430108789910907972588953
absolute error = 2.77395239020343e-17
relative error = 1.1523475499378012182856270919840e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.689
Order of pole = 0.6364
x[1] = 3.6495030877110546329492738908308
y[1] (analytic) = 2.4077633945448384274049675987925
y[1] (numeric) = 2.407763394544838399665368529921
absolute error = 2.77395990688715e-17
relative error = 1.1520899076595260948143019518960e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.429
Order of pole = 0.6113
x[1] = 3.6504963399182420274595056801887
y[1] (analytic) = 2.408308236777823445282534289246
y[1] (numeric) = 2.4083082367778234175428601404826
absolute error = 2.77396741487634e-17
relative error = 1.1518323827965423972520112723963e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6514895921254294219697374695466
y[1] (analytic) = 2.4088530697134210365646551443224
y[1] (numeric) = 2.4088530697134210088249060024951
absolute error = 2.77397491418273e-17
relative error = 1.1515749752693497253158629269887e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6524828443326168164799692589045
y[1] (analytic) = 2.4093978933552160907588730067101
y[1] (numeric) = 2.4093978933552160630190489585298
absolute error = 2.77398240481803e-17
relative error = 1.1513176849985165288402082077905e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6534760965398042109902010482624
y[1] (analytic) = 2.4099427077067914243781765419197
y[1] (numeric) = 2.4099427077067913966382776739801
absolute error = 2.77398988679396e-17
relative error = 1.1510605119046924716975893534030e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6544693487469916055004328376203
y[1] (analytic) = 2.4104875127717277825389958499038
y[1] (numeric) = 2.410487512771727754799022248682
absolute error = 2.77399736012218e-17
relative error = 1.1508034559085792935787916333356e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6554626009541790000106646269782
y[1] (analytic) = 2.4110323085536038405576585779639
y[1] (numeric) = 2.4110323085536038128176103298206
absolute error = 2.77400482481433e-17
relative error = 1.1505465169309473348985045645640e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6564558531613663945208964163361
y[1] (analytic) = 2.411577095055996205545308314372
y[1] (numeric) = 2.4115770950559961778051855055513
absolute error = 2.77401228088207e-17
relative error = 1.1502896948926520393112877317537e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.657449105368553789031128205694
y[1] (analytic) = 2.4121218722824794180012870397364
y[1] (numeric) = 2.412121872282479390261089756366
absolute error = 2.77401972833704e-17
relative error = 1.1500329897146172680544952124506e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6584423575757411835413599950519
y[1] (analytic) = 2.4126666402366259534049834107468
y[1] (numeric) = 2.4126666402366259256647117388387
absolute error = 2.77402716719081e-17
relative error = 1.1497764013178144921155047434668e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=457.7MB, alloc=4.4MB, time=57.16
NO POLE
x[1] = 3.6594356097829285780515917844098
y[1] (analytic) = 2.413211398922006223806148648543
y[1] (numeric) = 2.4132113989220061960658026739932
absolute error = 2.77403459745498e-17
relative error = 1.1495199296233041704281340259542e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6604288619901159725618235737677
y[1] (analytic) = 2.4137561483421885794136818015588
y[1] (numeric) = 2.4137561483421885516732616101476
absolute error = 2.77404201914112e-17
relative error = 1.1492635745522107853175270313499e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6614221141973033670720553631256
y[1] (analytic) = 2.4143008885007393101828861503142
y[1] (numeric) = 2.4143008885007392824423918277062
absolute error = 2.77404943226080e-17
relative error = 1.1490073360257351896245492705697e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 8.261
Order of pole = 1.781
x[1] = 3.6624153664044907615822871524835
y[1] (analytic) = 2.4148456194012226474011985192442
y[1] (numeric) = 2.4148456194012226196606301509888
absolute error = 2.77405683682554e-17
relative error = 1.1487512139651338087163941230542e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6634086186116781560925189418414
y[1] (analytic) = 2.415390341047200765272393258278
y[1] (numeric) = 2.4153903410472007375317509298096
absolute error = 2.77406423284684e-17
relative error = 1.1484952082917309915900477645073e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6644018708188655506027507311993
y[1] (analytic) = 2.4159350534422337824992626545076
y[1] (numeric) = 2.4159350534422337547585464511455
absolute error = 2.77407162033621e-17
relative error = 1.1482393189269313452759302959403e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6653951230260529451129825205572
y[1] (analytic) = 2.416479756589879763864775531915
y[1] (numeric) = 2.4164797565898797361239855388636
absolute error = 2.77407899930514e-17
relative error = 1.1479835457922072230624741366842e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 8.43
Order of pole = 1.832
x[1] = 3.6663883752332403396232143099151
y[1] (analytic) = 2.4170244504936947218117157947622
y[1] (numeric) = 2.4170244504936946940708520971114
absolute error = 2.77408636976508e-17
relative error = 1.1477278888090903669670566442061e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.667381627440427734133446099273
y[1] (analytic) = 2.4175691351572326180208026678859
y[1] (numeric) = 2.4175691351572325902798653506112
absolute error = 2.77409373172747e-17
relative error = 1.1474723478991842434459827661462e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6683748796476151286436778886309
y[1] (analytic) = 2.4181138105840453649872943847782
y[1] (numeric) = 2.4181138105840453372462835327407
absolute error = 2.77410108520375e-17
relative error = 1.1472169229841680915325117615365e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6693681318548025231539096779888
y[1] (analytic) = 2.4186584767776828275960770719812
y[1] (numeric) = 2.4186584767776827998549927699279
absolute error = 2.77410843020533e-17
relative error = 1.1469616139857844274213168854729e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6703613840619899176641414673467
y[1] (analytic) = 2.4192031337416928246952405759716
y[1] (numeric) = 2.4192031337416927969540829085355
absolute error = 2.77411576674361e-17
relative error = 1.1467064208258472339046479402883e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6713546362691773121743732567046
y[1] (analytic) = 2.4197477814796211306681429763625
y[1] (numeric) = 2.4197477814796211029269120280632
absolute error = 2.77412309482993e-17
relative error = 1.1464513434262212101228513529606e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6723478884763647066846050460625
y[1] (analytic) = 2.4202924199950114770039655269074
y[1] (numeric) = 2.4202924199950114492626613821506
absolute error = 2.77413041447568e-17
relative error = 1.1461963817088671570553967154614e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6733411406835521011948368354204
y[1] (analytic) = 2.420837049291405553866759763447
y[1] (numeric) = 2.4208370492914055261253825065249
absolute error = 2.77413772569221e-17
relative error = 1.1459415355958046857043038160993e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6743343928907394957050686247783
y[1] (analytic) = 2.4213816693723430116629885156061
y[1] (numeric) = 2.421381669372342983921538230698
absolute error = 2.77414502849081e-17
relative error = 1.1456868050091038847293607652010e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6753276450979268902153004141362
y[1] (analytic) = 2.421926280241361462607562556714
y[1] (numeric) = 2.4219262802413614348660393278859
absolute error = 2.77415232288281e-17
relative error = 1.1454321898709265466721678529291e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6763208973051142847255322034941
y[1] (analytic) = 2.4224708819019964822883746240873
y[1] (numeric) = 2.4224708819019964545467785352926
absolute error = 2.77415960887947e-17
relative error = 1.1451776901034806502309961312760e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.677314149512301679235763992852
y[1] (analytic) = 2.4230154743577816112293325394946
y[1] (numeric) = 2.4230154743577815834876636745737
absolute error = 2.77416688649209e-17
relative error = 1.1449233056290656998825337820623e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.552
Order of pole = 0.5449
x[1] = 3.6783074017194890737459957822099
y[1] (analytic) = 2.4235600576122483564518931572936
y[1] (numeric) = 2.4235600576122483287101515999743
absolute error = 2.77417415573193e-17
relative error = 1.1446690363700396073168451867516e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6793006539266764682562275715678
y[1] (analytic) = 2.4241046316689261930350988654156
y[1] (numeric) = 2.4241046316689261652932846993137
absolute error = 2.77418141661019e-17
relative error = 1.1444148822488103689302313523780e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6802939061338638627664593609257
y[1] (analytic) = 2.4246491965313425656741183620568
y[1] (numeric) = 2.4246491965313425379322316706759
absolute error = 2.77418866913809e-17
relative error = 1.1441608431878689976216646378647e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.5
Order of pole = 0.8772
x[1] = 3.6812871583410512572766911502836
y[1] (analytic) = 2.4251937522030228902372934286202
y[1] (numeric) = 2.4251937522030228624953342953514
absolute error = 2.77419591332688e-17
relative error = 1.1439069191097935465569729424310e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 25.48
Order of pole = 12.6
x[1] = 3.6822804105482386517869229396415
y[1] (analytic) = 2.4257382986874905553216934171457
y[1] (numeric) = 2.4257382986874905275796619252687
absolute error = 2.77420314918770e-17
relative error = 1.1436531099371912906797411941857e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.739
Order of pole = 0.6397
x[1] = 3.6832736627554260462971547289994
y[1] (analytic) = 2.4262828359882669238071791681644
y[1] (numeric) = 2.4262828359882668960650754008472
absolute error = 2.77421037673172e-17
relative error = 1.1433994155927563889595832026057e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6842669149626134408073865183573
y[1] (analytic) = 2.4268273641088713344089780726037
y[1] (numeric) = 2.4268273641088713066668021129026
absolute error = 2.77421759597011e-17
relative error = 1.1431458359992574187121676287080e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6852601671698008353176183077152
y[1] (analytic) = 2.4273718830528211032287719890782
y[1] (numeric) = 2.4273718830528210754865239199382
absolute error = 2.77422480691400e-17
relative error = 1.1428923710795208070257739939502e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6862534193769882298278500970731
y[1] (analytic) = 2.4279163928236315253042997256054
y[1] (numeric) = 2.4279163928236314975619796298603
absolute error = 2.77423200957451e-17
relative error = 1.1426390207564431157982640130703e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=461.5MB, alloc=4.4MB, time=57.64
NO POLE
x[1] = 3.687246671584175624338081886431
y[1] (analytic) = 2.4284608934248158761574757924922
y[1] (numeric) = 2.4284608934248158484150837528651
absolute error = 2.77423920396271e-17
relative error = 1.1423857849529744854142711609051e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6882399237913630188483136757889
y[1] (analytic) = 2.4290053848598854133410271308552
y[1] (numeric) = 2.4290053848598853855985632299581
absolute error = 2.77424639008971e-17
relative error = 1.1421326635921556205479250495330e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6892331759985504133585454651468
y[1] (analytic) = 2.4295498671323493779836495189466
y[1] (numeric) = 2.4295498671323493502411138392809
absolute error = 2.77425356796657e-17
relative error = 1.1418796565970806384428877674799e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6902264282057378078687772545047
y[1] (analytic) = 2.4300943402457149963336853561862
y[1] (numeric) = 2.4300943402457149685910779801428
absolute error = 2.77426073760434e-17
relative error = 1.1416267638909134630123483686065e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6912196804129252023790090438626
y[1] (analytic) = 2.4306388042034874813013245225149
y[1] (numeric) = 2.4306388042034874535586455323746
absolute error = 2.77426789901403e-17
relative error = 1.1413739853968753979000226102084e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6922129326201125968892408332205
y[1] (analytic) = 2.4311832590091700339993300084174
y[1] (numeric) = 2.4311832590091700062565794863507
absolute error = 2.77427505220667e-17
relative error = 1.1411213210382697352592779978938e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 10.67
Order of pole = 2.61
x[1] = 3.6932061848272999913994726225784
y[1] (analytic) = 2.431727704666263845282290008688
y[1] (numeric) = 2.4317277046662638175394680367553
absolute error = 2.77428219719327e-17
relative error = 1.1408687707384652084571187768197e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6941994370344873859097044119363
y[1] (analytic) = 2.4322721411782680972843981707486
y[1] (numeric) = 2.4322721411782680695415048309006
absolute error = 2.77428933398480e-17
relative error = 1.1406163344208876897756991393578e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6951926892416747804199362012942
y[1] (analytic) = 2.4328165685486799649557636860659
y[1] (numeric) = 2.4328165685486799372127990601438
absolute error = 2.77429646259221e-17
relative error = 1.1403640120090283411182656211447e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 9.717
Order of pole = 2.249
x[1] = 3.6961859414488621749301679906521
y[1] (analytic) = 2.4333609867809946175972529109534
y[1] (numeric) = 2.4333609867809945898542170806888
absolute error = 2.77430358302646e-17
relative error = 1.1401118034264558633245222589209e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.69717919365604956944039978001
y[1] (analytic) = 2.4339053958787052203938642007874
y[1] (numeric) = 2.4339053958787051926507572478025
absolute error = 2.77431069529849e-17
relative error = 1.1398597085968040773168011523341e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6981724458632369639506315693679
y[1] (analytic) = 2.4344497958453029359466376394161
y[1] (numeric) = 2.4344497958453029082034596452239
absolute error = 2.77431779941922e-17
relative error = 1.1396077274437718450317452707857e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.6991656980704243584608633587258
y[1] (analytic) = 2.434994186684276925803101343289
y[1] (numeric) = 2.4349941866842768980598523892939
absolute error = 2.77432489539951e-17
relative error = 1.1393558598911065633230076814809e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7001589502776117529710951480837
y[1] (analytic) = 2.4355385683991143519862560175906
y[1] (numeric) = 2.435538568399114324242936185088
absolute error = 2.77433198325026e-17
relative error = 1.1391041058626451621618281849730e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7011522024847991474813269374416
y[1] (analytic) = 2.4360829409933003785220994394158
y[1] (numeric) = 2.4360829409933003507787088095923
absolute error = 2.77433906298235e-17
relative error = 1.1388524652822893686675035209171e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7021454546919865419915587267995
y[1] (analytic) = 2.4366273044703181729656925407904
y[1] (numeric) = 2.4366273044703181452222311947243
absolute error = 2.77434613460661e-17
relative error = 1.1386009380739933164058543398202e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7031387068991739365017905161574
y[1] (analytic) = 2.4371716588336489079257687621022
y[1] (numeric) = 2.4371716588336488801822367807636
absolute error = 2.77435319813386e-17
relative error = 1.1383495241617798931193354912646e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7041319591063613310120223055153
y[1] (analytic) = 2.4377160040867717625878883442757
y[1] (numeric) = 2.4377160040867717348442858085263
absolute error = 2.77436025357494e-17
relative error = 1.1380982234697529643618753143973e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7051252113135487255222540948732
y[1] (analytic) = 2.4382603402331639242361392257944
y[1] (numeric) = 2.438260340233163896492466216388
absolute error = 2.77436730094064e-17
relative error = 1.1378470359220685679216482750038e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7061184635207361200324858842311
y[1] (analytic) = 2.4388046672763005897733862084523
y[1] (numeric) = 2.438804667276300562029642806035
absolute error = 2.77437434024173e-17
relative error = 1.1375959614429471505228554596019e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.792
Order of pole = 0.9237
x[1] = 3.707111715727923514542717673589
y[1] (analytic) = 2.4393489852196549672400700534909
y[1] (numeric) = 2.4393489852196549394962563386012
absolute error = 2.77438137148897e-17
relative error = 1.1373449999566775892436967184209e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7081049679351109090529494629469
y[1] (analytic) = 2.4398932940666982773315581675613
y[1] (numeric) = 2.43989329406669824958767422063
absolute error = 2.77438839469313e-17
relative error = 1.1370941513876253061002328324702e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7090982201422983035631812523048
y[1] (analytic) = 2.4404375938208997549140485357348
y[1] (numeric) = 2.4404375938208997271700944370855
absolute error = 2.77439540986493e-17
relative error = 1.1368434156602075907740230346881e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.976
Order of pole = 0.7912
x[1] = 3.7100914723494856980734130416627
y[1] (analytic) = 2.4409818844857266505390285565753
y[1] (numeric) = 2.4409818844857266227950043864244
absolute error = 2.77440241701509e-17
relative error = 1.1365927926989140201974379183345e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7110847245566730925836448310206
y[1] (analytic) = 2.4415261660646442319562904320769
y[1] (numeric) = 2.4415261660646442042121962705339
absolute error = 2.77440941615430e-17
relative error = 1.1363422824282940844439694053308e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7120779767638604870938766203785
y[1] (analytic) = 2.4420704385611157856255047630657
y[1] (numeric) = 2.4420704385611157578813406901332
absolute error = 2.77441640729325e-17
relative error = 1.1360918847729693984907305298534e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7130712289710478816041084097364
y[1] (analytic) = 2.4426147019786026182263539984631
y[1] (numeric) = 2.4426147019786025904821200940369
absolute error = 2.77442339044262e-17
relative error = 1.1358415996576295217690305543688e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7140644811782352761143401990943
y[1] (analytic) = 2.4431589563205640581672273846089
y[1] (numeric) = 2.4431589563205640304229237284785
absolute error = 2.77443036561304e-17
relative error = 1.1355914270070155041269931726888e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.525
Order of pole = 1.541
memory used=465.4MB, alloc=4.4MB, time=58.09
x[1] = 3.7150577333854226706245719884522
y[1] (analytic) = 2.44370320159045745709247905865
y[1] (numeric) = 2.4437032015904574293481057304986
absolute error = 2.77443733281514e-17
relative error = 1.1353413667459402831380472683276e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7160509855926100651348037778101
y[1] (analytic) = 2.4442474377917381913882509278056
y[1] (numeric) = 2.4442474377917381636438080072101
absolute error = 2.77444429205955e-17
relative error = 1.1350914187992885979732859414514e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.865
Order of pole = 0.6508
x[1] = 3.717044237799797459645035567168
y[1] (analytic) = 2.4447916649278596636868619741335
y[1] (numeric) = 2.4447916649278596359423495405646
absolute error = 2.77445124335689e-17
relative error = 1.1348415830920128130698579489193e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7180374900069848541552673565259
y[1] (analytic) = 2.4453358830022733043697656222362
y[1] (numeric) = 2.4453358830022732766251837550591
absolute error = 2.77445818671771e-17
relative error = 1.1345918595491083002963427699287e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7190307422141722486654991458838
y[1] (analytic) = 2.445880092018428573069076805167
y[1] (numeric) = 2.445880092018428545324425583641
absolute error = 2.77446512215260e-17
relative error = 1.1343422480956583586255496250593e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7200239944213596431757309352417
y[1] (analytic) = 2.4464242919797729601676703616119
y[1] (numeric) = 2.4464242919797729324229498648909
absolute error = 2.77447204967210e-17
relative error = 1.1340927486567973218934327212089e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7210172466285470376859627245996
y[1] (analytic) = 2.4469684828897519882978523952548
y[1] (numeric) = 2.4469684828897519605530627023871
absolute error = 2.77447896928677e-17
relative error = 1.1338433611577391028249385072021e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 11.01
Order of pole = 2.723
x[1] = 3.7220104988357344321961945139575
y[1] (analytic) = 2.4475126647518092138386062250561
y[1] (numeric) = 2.447512664751809186093747414985
absolute error = 2.77448588100711e-17
relative error = 1.1335940855237444122782687933765e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.767
Order of pole = 0.6404
x[1] = 3.7230037510429218267064263033154
y[1] (analytic) = 2.4480568375693862284114145530124
y[1] (numeric) = 2.448056837569386200666486704576
absolute error = 2.77449278484364e-17
relative error = 1.1333449216801533801787737863852e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7249902554572966157268898820312
y[1] (analytic) = 2.4491451560848561763166019484967
y[1] (numeric) = 2.449145156084856148571536259425
absolute error = 2.77450656890717e-17
relative error = 1.1328469290658250152517580268035e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7259835076644840102371216713891
y[1] (analytic) = 2.449689301789622482546942362596
y[1] (numeric) = 2.4496893017896224548018078710448
absolute error = 2.77451344915512e-17
relative error = 1.1325981001460866797632703513908e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.726976759871671404747353460747
y[1] (analytic) = 2.4502334384636553265869637860114
y[1] (numeric) = 2.4502334384636552988417605704004
absolute error = 2.77452032156110e-17
relative error = 1.1323493827187253401383882980644e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7279700120788587992575852501049
y[1] (analytic) = 2.4507775661103864986582595510699
y[1] (numeric) = 2.4507775661103864709129876897143
absolute error = 2.77452718613556e-17
relative error = 1.1321007767094075640525723607456e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7289632642860461937678170394628
y[1] (analytic) = 2.4513216847332458331700467619813
y[1] (numeric) = 2.4513216847332458054247063330922
absolute error = 2.77453404288891e-17
relative error = 1.1318522820438543595191952995513e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7299565164932335882780488288207
y[1] (analytic) = 2.4518657943356612102050673473073
y[1] (numeric) = 2.451865794335661182459658428992
absolute error = 2.77454089183153e-17
relative error = 1.1316038986478451870384435531334e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7309497687004209827882806181786
y[1] (analytic) = 2.4524098949210585570040782647605
y[1] (numeric) = 2.4524098949210585292586009350225
absolute error = 2.77454773297380e-17
relative error = 1.1313556264472301216568445387771e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7319430209076083772985124075365
y[1] (analytic) = 2.452953986492861849448932465529
y[1] (numeric) = 2.4529539864928618217033868022682
absolute error = 2.77455456632608e-17
relative error = 1.1311074653679216152623222603772e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7329362731147957718087441968944
y[1] (analytic) = 2.4534980690544931135442522231894
y[1] (numeric) = 2.453498069054493085798638304202
absolute error = 2.77456139189874e-17
relative error = 1.1308594153359066489151224007391e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 10.67
Order of pole = 2.579
x[1] = 3.7339295253219831663189759862523
y[1] (analytic) = 2.4540421426093724268976964301359
y[1] (numeric) = 2.454042142609372399152014333115
absolute error = 2.77456820970209e-17
relative error = 1.1306114762772181199252462794933e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 16.35
Order of pole = 5.377
x[1] = 3.7349227775291705608292077756102
y[1] (analytic) = 2.4545862071609179201988234623274
y[1] (numeric) = 2.4545862071609178924530732648631
absolute error = 2.77457501974643e-17
relative error = 1.1303636481179551550688331263752e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7359160297363579553394395649681
y[1] (analytic) = 2.4551302627125457786965512110258
y[1] (numeric) = 2.4551302627125457509507329906049
absolute error = 2.77458182204209e-17
relative error = 1.1301159307842993236999673575862e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.736909281943545349849671354326
y[1] (analytic) = 2.4556743092676702436752158780756
y[1] (numeric) = 2.4556743092676702159293297120821
absolute error = 2.77458861659935e-17
relative error = 1.1298683242024819629042321178391e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 9.442
Order of pole = 2.126
x[1] = 3.7379025341507327443599031436839
y[1] (analytic) = 2.4562183468297036139292311291588
y[1] (numeric) = 2.456218346829703586183277094874
absolute error = 2.77459540342848e-17
relative error = 1.1296208282988004016768116043383e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7388957863579201388701349330418
y[1] (analytic) = 2.4567623754020562472363491973398
y[1] (numeric) = 2.4567623754020562194903273719428
absolute error = 2.77460218253970e-17
relative error = 1.1293734429996016003701559664720e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7398890385651075333803667223997
y[1] (analytic) = 2.457306394988136561829525527104
y[1] (numeric) = 2.4573063949881365340834359876712
absolute error = 2.77460895394328e-17
relative error = 1.1291261682313227848346836113118e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 8.591
Order of pole = 1.844
x[1] = 3.7408822907722949278905985117576
y[1] (analytic) = 2.4578504055913510378673885469808
y[1] (numeric) = 2.4578504055913510101212313704863
absolute error = 2.77461571764945e-17
relative error = 1.1288790039204547232828579390077e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.264
Order of pole = 1.004
x[1] = 3.7418755429794823224008303011155
y[1] (analytic) = 2.4583944072151042189033161567391
y[1] (numeric) = 2.4583944072151041911570914200551
absolute error = 2.77462247366840e-17
relative error = 1.1286319499935416611803708193517e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7428687951866697169110620904734
y[1] (analytic) = 2.458938399862798713353120513038
memory used=469.2MB, alloc=4.4MB, time=58.53
y[1] (numeric) = 2.4589383998627986856068282929349
absolute error = 2.77462922201031e-17
relative error = 1.1283850063771934566185140129333e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7438620473938571114212938798313
y[1] (analytic) = 2.459482383537835195961342695315
y[1] (numeric) = 2.4594823835378351682149830684613
absolute error = 2.77463596268537e-17
relative error = 1.1281381729980936336936954526567e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7448552996010445059315256691892
y[1] (analytic) = 2.4600263582436124092661588315961
y[1] (numeric) = 2.4600263582436123815197318745587
absolute error = 2.77464269570374e-17
relative error = 1.1278914497829830352279773032987e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7458485518082319004417574585471
y[1] (analytic) = 2.4605703239835271650628992618214
y[1] (numeric) = 2.4605703239835271373164050510656
absolute error = 2.77464942107558e-17
relative error = 1.1276448366586719458711769078708e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 9.426
Order of pole = 2.114
x[1] = 3.746841804015419294951989247905
y[1] (analytic) = 2.4611142807609743458661823141847
y[1] (numeric) = 2.461114280760974318119620926075
absolute error = 2.77465613881097e-17
relative error = 1.1273983335520075039321770416513e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7478350562226066894622210372629
y[1] (analytic) = 2.4616582285793469063706642679042
y[1] (numeric) = 2.4616582285793468786240357787034
absolute error = 2.77466284892008e-17
relative error = 1.1271519403899427139832001513474e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.928
Order of pole = 0.6557
x[1] = 3.7488283084297940839724528266208
y[1] (analytic) = 2.4622021674420358749104070737478
y[1] (numeric) = 2.462202167442035847163711559618
absolute error = 2.77466955141298e-17
relative error = 1.1269056570994591574179836162713e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7498215606369814784826846159787
y[1] (analytic) = 2.4627460973524303549168654015659
y[1] (numeric) = 2.4627460973524303271701029385683
absolute error = 2.77467624629976e-17
relative error = 1.1266594836076156811879887870215e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.959
Order of pole = 0.7843
x[1] = 3.7508148128441688729929164053366
y[1] (analytic) = 2.4632900183139175263754945819984
y[1] (numeric) = 2.4632900183139174986286652460936
absolute error = 2.77468293359048e-17
relative error = 1.1264134198415280086468430122243e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7518080650513562675031481946945
y[1] (analytic) = 2.4638339303298826472809810074514
y[1] (numeric) = 2.4638339303298826195340848744994
absolute error = 2.77468961329520e-17
relative error = 1.1261674657283808471311247321141e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7528013172585436620133799840524
y[1] (analytic) = 2.4643778334037090550910965553665
y[1] (numeric) = 2.4643778334037090273441337011268
absolute error = 2.77469628542397e-17
relative error = 1.1259216211954237482384300958653e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7537945694657310565236117734103
y[1] (analytic) = 2.4649217275387781681791785947363
y[1] (numeric) = 2.4649217275387781404321490948683
absolute error = 2.77470294998680e-17
relative error = 1.1256758861699588597467362928145e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7547878216729184510338435627682
y[1] (analytic) = 2.465465612738469487285237134756
y[1] (numeric) = 2.4654656127384694595381410648192
absolute error = 2.77470960699368e-17
relative error = 1.1254302605793489738986784689965e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7557810738801058455440753521261
y[1] (analytic) = 2.4660094890061605969656906724368
y[1] (numeric) = 2.4660094890061605692185281078905
absolute error = 2.77471625645463e-17
relative error = 1.1251847443510377304465066322273e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 16.25
Order of pole = 5.277
x[1] = 3.756774326087293240054307141484
y[1] (analytic) = 2.4665533563452271670417322939467
y[1] (numeric) = 2.4665533563452271392945033101505
absolute error = 2.77472289837962e-17
relative error = 1.1249393374125170878530443256790e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7577675782944806345645389308419
y[1] (analytic) = 2.4670972147590429540463275823919
y[1] (numeric) = 2.4670972147590429262990322546057
absolute error = 2.77472953277862e-17
relative error = 1.1246940396913475310318201210597e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7587608305016680290747707201998
y[1] (analytic) = 2.4676410642509798026698458826944
y[1] (numeric) = 2.4676410642509797749224842860789
absolute error = 2.77473615966155e-17
relative error = 1.1244488511151377278404651401295e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7597540827088554235850025095577
y[1] (analytic) = 2.4681849048244076472043264721755
y[1] (numeric) = 2.4681849048244076194568986817918
absolute error = 2.77474277903837e-17
relative error = 1.1242037716115809343218746845256e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7607473349160428180952342989156
y[1] (analytic) = 2.4687287364826945129863811834033
y[1] (numeric) = 2.4687287364826944852388872742134
absolute error = 2.77474939091899e-17
relative error = 1.1239588011084184398144483257508e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7617405871232302126054660882735
y[1] (analytic) = 2.469272559229206517838735023824
y[1] (numeric) = 2.4692725592292064900911750706909
absolute error = 2.77475599531331e-17
relative error = 1.1237139395334557074599109795855e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7627338393304176071156978776314
y[1] (analytic) = 2.4698163730673078735104063346518
y[1] (numeric) = 2.4698163730673078457627804123398
absolute error = 2.77476259223120e-17
relative error = 1.1234691868145542000911526557494e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7637270915376050016259296669893
y[1] (analytic) = 2.4703601780003608871155280294568
y[1] (numeric) = 2.4703601780003608593678362126313
absolute error = 2.77476918168255e-17
relative error = 1.1232245428796515528735299558062e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.013
Order of pole = 0.5731
x[1] = 3.7647203437447923961361614563472
y[1] (analytic) = 2.4709039740317259625708114508542
y[1] (numeric) = 2.470903974031725934823053814082
absolute error = 2.77477576367722e-17
relative error = 1.1229800076567412482980257939647e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7657135959519797906463932457051
y[1] (analytic) = 2.4714477611647616020316543816684
y[1] (numeric) = 2.4714477611647615742838309994177
absolute error = 2.77478233822507e-17
relative error = 1.1227355810738846877064646878022e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.766706848159167185156625035063
y[1] (analytic) = 2.4719915394028244073268947449153
y[1] (numeric) = 2.4719915394028243795790056915566
absolute error = 2.77478890533587e-17
relative error = 1.1224912630591747030362996922995e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7677001003663545796668568244209
y[1] (analytic) = 2.4725353087492690813922115249242
y[1] (numeric) = 2.4725353087492690536442568747294
absolute error = 2.77479546501948e-17
relative error = 1.1222470535408083163754612512823e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7686933525735419741770886137788
y[1] (analytic) = 2.4730790692074484297021744398917
y[1] (numeric) = 2.4730790692074484019541542670347
absolute error = 2.77480201728570e-17
relative error = 1.1220029524470259666386998817009e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7696866047807293686873204031367
y[1] (analytic) = 2.4736228207807133617009438941485
y[1] (numeric) = 2.4736228207807133339528582727056
absolute error = 2.77480856214429e-17
relative error = 1.1217589597061195415191398286665e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7706798569879167631975521924946
y[1] (analytic) = 2.4741665634724128922316227363996
y[1] (numeric) = 2.4741665634724128644834717403493
absolute error = 2.77481509960503e-17
relative error = 1.1215150752464565659161142944850e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=473.0MB, alloc=4.4MB, time=58.97
NO POLE
x[1] = 3.7716731091951041577077839818525
y[1] (analytic) = 2.4747102972858941429642613481847
y[1] (numeric) = 2.474710297285894115216045051408
absolute error = 2.77482162967767e-17
relative error = 1.1212712989964599088355363394986e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7726663614022915522180157712104
y[1] (analytic) = 2.4752540222245023438225175847979
y[1] (numeric) = 2.4752540222245023160742360610783
absolute error = 2.77482815237196e-17
relative error = 1.1210276308846198369601512941169e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7736596136094789467282475605683
y[1] (analytic) = 2.4757977382915808344089730888968
y[1] (numeric) = 2.4757977382915808066606264119206
absolute error = 2.77483466769762e-17
relative error = 1.1207840708394818177317271173710e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7746528658166663412384793499262
y[1] (analytic) = 2.4763414454904710654291074950277
y[1] (numeric) = 2.4763414454904710376806957383844
absolute error = 2.77484117566433e-17
relative error = 1.1205406187896424149399368049464e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7756461180238537357487111392841
y[1] (analytic) = 2.4768851438245126001139320412944
y[1] (numeric) = 2.4768851438245125723654552784762
absolute error = 2.77484767628182e-17
relative error = 1.1202972746637855630136541556373e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.776639370231041130258942928642
y[1] (analytic) = 2.4774288332970431156412841023945
y[1] (numeric) = 2.4774288332970430878927424067967
absolute error = 2.77485416955978e-17
relative error = 1.1200540383906461375836583055489e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7776326224382285247691747179999
y[1] (analytic) = 2.477972513911398404555784156259
y[1] (numeric) = 2.4779725139113983768071776011804
absolute error = 2.77486065550786e-17
relative error = 1.1198109098990098940269727760599e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7786258746454159192794065073578
y[1] (analytic) = 2.4785161856709123761874566945348
y[1] (numeric) = 2.4785161856709123484387853531779
absolute error = 2.77486713413569e-17
relative error = 1.1195678891177214754435240637344e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7796191268526033137896382967157
y[1] (analytic) = 2.4790598485789170580690165851618
y[1] (numeric) = 2.4790598485789170303202805306325
absolute error = 2.77487360545293e-17
relative error = 1.1193249759757045114648528958052e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7806123790597907082998700860736
y[1] (analytic) = 2.4796035026387425973518223933089
y[1] (numeric) = 2.4796035026387425696030216986168
absolute error = 2.77488006946921e-17
relative error = 1.1190821704019373286993171254745e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7816056312669781028101018754315
y[1] (analytic) = 2.4801471478537172622204981649523
y[1] (numeric) = 2.4801471478537172344716329030111
absolute error = 2.77488652619412e-17
relative error = 1.1188394723254488532256795897196e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7825988834741654973203336647894
y[1] (analytic) = 2.4806907842271674433062251753994
y[1] (numeric) = 2.4806907842271674155572954190268
absolute error = 2.77489297563726e-17
relative error = 1.1185968816753387052932660969112e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7835921356813528918305654541473
y[1] (analytic) = 2.4812344117624176550987051430816
y[1] (numeric) = 2.4812344117624176273497109649995
absolute error = 2.77489941780821e-17
relative error = 1.1183543983807650255972586546439e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7845853878885402863407972435052
y[1] (analytic) = 2.4817780304627905373567964069682
y[1] (numeric) = 2.481778030462790509607737879803
absolute error = 2.77490585271652e-17
relative error = 1.1181120223709403763002358989725e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7855786400957276808510290328631
y[1] (analytic) = 2.482321640331606856517824563982
y[1] (numeric) = 2.4823216403316068287687017602642
absolute error = 2.77491228037178e-17
relative error = 1.1178697535751598753417732185209e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.997
Order of pole = 0.5714
x[1] = 3.786571892302915075361260822221
y[1] (analytic) = 2.4828652413721855071055690608263
y[1] (numeric) = 2.4828652413721854793563820529914
absolute error = 2.77491870078349e-17
relative error = 1.1176275919227487417006599269975e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7875651445101024698714926115789
y[1] (analytic) = 2.483408833587843513136927232673
y[1] (numeric) = 2.4834088335878434853876760930612
absolute error = 2.77492511396118e-17
relative error = 1.1173855373431105776371508469371e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7885583967172898643817244009368
y[1] (analytic) = 2.4839524169818960295272572791934
y[1] (numeric) = 2.4839524169818960017779420800497
absolute error = 2.77493151991437e-17
relative error = 1.1171435897657111740731594868879e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.901
Order of pole = 1.122
x[1] = 3.7895516489244772588919561902947
y[1] (analytic) = 2.4844959915576563434944016664576
y[1] (numeric) = 2.4844959915576563157450224799322
absolute error = 2.77493791865254e-17
relative error = 1.1169017491200663622013476770803e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7905449011316646534021879796526
y[1] (analytic) = 2.4850395573184358759613924412716
y[1] (numeric) = 2.48503955731843584821194933942
absolute error = 2.77494431018516e-17
relative error = 1.1166600153357540255305872581252e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.405
Order of pole = 0.8467
x[1] = 3.7915381533388520479124197690105
y[1] (analytic) = 2.4855831142675441829578399425673
y[1] (numeric) = 2.4855831142675441552083329973502
absolute error = 2.77495069452171e-17
relative error = 1.1164183883424220729767229282906e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7925314055460394424226515583684
y[1] (analytic) = 2.4861266624082889570200063925085
y[1] (numeric) = 2.4861266624082889292704356757921
absolute error = 2.77495707167164e-17
relative error = 1.1161768680697722675748108786876e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 9.881
Order of pole = 2.243
x[1] = 3.7935246577532268369328833477263
y[1] (analytic) = 2.4866702017439760285895658480317
y[1] (numeric) = 2.4866702017439760008399314315879
absolute error = 2.77496344164438e-17
relative error = 1.1159354544475641836180144227525e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7945179099604142314431151370842
y[1] (analytic) = 2.4872137322779093674110519915936
y[1] (numeric) = 2.4872137322779093396613539471001
absolute error = 2.77496980444935e-17
relative error = 1.1156941474056191586153125123088e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7955111621676016259533469264421
y[1] (analytic) = 2.4877572540133910839279952379558
y[1] (numeric) = 2.4877572540133910561782336369961
absolute error = 2.77497616009597e-17
relative error = 1.1154529468738242400762317327811e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.781
Order of pole = 0.9075
x[1] = 3.7965044143747890204635787158
y[1] (analytic) = 2.488300766953721430677750631898
y[1] (numeric) = 2.4883007669537214029279255459617
absolute error = 2.77498250859363e-17
relative error = 1.1152118527821200519036658319075e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.7974976665819764149738105051579
y[1] (analytic) = 2.4888442711021988036850180098168
y[1] (numeric) = 2.4888442711021987759351295102997
absolute error = 2.77498884995171e-17
relative error = 1.1149708650605087663386257558747e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 14.09
Order of pole = 4.035
x[1] = 3.7984909187891638094840422945158
y[1] (analytic) = 2.4893877664621197438540558962318
y[1] (numeric) = 2.4893877664621197161041040544361
absolute error = 2.77499518417957e-17
relative error = 1.1147299836390500143135540288455e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=476.8MB, alloc=4.4MB, time=59.42
Complex estimate of poles used
Radius of convergence = 4.897
Order of pole = 0.927
x[1] = 3.7994841709963512039942740838737
y[1] (analytic) = 2.4899312530367789383595906042928
y[1] (numeric) = 2.4899312530367789106095754914273
absolute error = 2.77500151128655e-17
relative error = 1.1144892084478608173444486673234e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8004774232035385985045058732316
y[1] (analytic) = 2.4904747308294692220364220074533
y[1] (numeric) = 2.4904747308294691942863436946331
absolute error = 2.77500783128202e-17
relative error = 1.1142485394171355960132344065579e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8014706754107259930147376625895
y[1] (analytic) = 2.49101819984348157876772744755
y[1] (numeric) = 2.4910181998434815510175860057972
absolute error = 2.77501414417528e-17
relative error = 1.1140079764771059359254602153797e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8024639276179133875249694519474
y[1] (analytic) = 2.4915616600821051428720652426111
y[1] (numeric) = 2.4915616600821051151218607428547
absolute error = 2.77502044997564e-17
relative error = 1.1137675195580726501789318453612e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.069
Order of pole = 0.5761
x[1] = 3.8034571798251007820352012413053
y[1] (analytic) = 2.492105111548627200489079255792
y[1] (numeric) = 2.492105111548627172738811768868
absolute error = 2.77502674869240e-17
relative error = 1.1135271685903976731692996149729e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.045
Order of pole = 1.15
x[1] = 3.8044504320322881765454330306632
y[1] (analytic) = 2.492648554246333190963905984925
y[1] (numeric) = 2.4926485542463331632135755815765
absolute error = 2.77503304033485e-17
relative error = 1.1132869235045039886014936482760e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.216
Order of pole = 1.187
x[1] = 3.8054436842394755710556648200211
y[1] (analytic) = 2.493191988178506708230285630255
y[1] (numeric) = 2.4931919881785066804798923811325
absolute error = 2.77503932491225e-17
relative error = 1.1130467842308675357577969418687e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.806436936446662965565896609379
y[1] (analytic) = 2.4937354133484295021923785960248
y[1] (numeric) = 2.4937354133484294744419225716864
absolute error = 2.77504560243384e-17
relative error = 1.1128067507000211565016072844710e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8074301886538503600761283987369
y[1] (analytic) = 2.4942788297593814801052888796653
y[1] (numeric) = 2.4942788297593814523547701505765
absolute error = 2.77505187290888e-17
relative error = 1.1125668228425705646534876808190e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.989
Order of pole = 0.9418
x[1] = 3.8084234408610377545863601880948
y[1] (analytic) = 2.4948222374146407079542958004408
y[1] (numeric) = 2.4948222374146406802037144369748
absolute error = 2.77505813634660e-17
relative error = 1.1123270005891742197899234131209e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8094166930682251490965919774527
y[1] (analytic) = 2.4953656363174834118327955175008
y[1] (numeric) = 2.4953656363174833840821515899387
absolute error = 2.77506439275621e-17
relative error = 1.1120872838705472719192771894841e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8104099452754125436068237668106
y[1] (analytic) = 2.4959090264711839793189537853891
y[1] (numeric) = 2.4959090264711839515682473639202
absolute error = 2.77507064214689e-17
relative error = 1.1118476726174574878994764338942e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8114031974825999381170555561685
y[1] (analytic) = 2.4964524078790149608510713931662
y[1] (numeric) = 2.4964524078790149331003025478878
absolute error = 2.77507688452784e-17
relative error = 1.1116081667607452172882830776574e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.737
Order of pole = 1.083
x[1] = 3.8123964496897873326272873455264
y[1] (analytic) = 2.4969957805442470711016637314066
y[1] (numeric) = 2.4969957805442470433508325323242
absolute error = 2.77508311990824e-17
relative error = 1.1113687662313072888191831080369e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8133897018969747271375191348843
y[1] (analytic) = 2.4975391444701491903502559294451
y[1] (numeric) = 2.4975391444701491625993624464729
absolute error = 2.77508934829722e-17
relative error = 1.1111294709600849318475417902702e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 12.89
Order of pole = 3.441
x[1] = 3.8143829541041621216477509242422
y[1] (analytic) = 2.4980824996599883658548950033574
y[1] (numeric) = 2.498082499659988338103939306318
absolute error = 2.77509556970394e-17
relative error = 1.1108902808780957473411210479794e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8153762063113495161579827136001
y[1] (analytic) = 2.4986258461170298132223804532753
y[1] (numeric) = 2.4986258461170297854713626118999
absolute error = 2.77510178413754e-17
relative error = 1.1106511959164136085650210773415e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.268
Order of pole = 0.591
x[1] = 3.816369458518536910668214502958
y[1] (analytic) = 2.4991691838445369177772147467566
y[1] (numeric) = 2.4991691838445368900261348306853
absolute error = 2.77510799160713e-17
relative error = 1.1104122160061645933123635800333e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8173627107257243051784462923159
y[1] (analytic) = 2.4997125128457712359292751230505
y[1] (numeric) = 2.4997125128457712081781332018324
absolute error = 2.77511419212181e-17
relative error = 1.1101733410785349228272674334606e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8183559629329116996886780816738
y[1] (analytic) = 2.5002558331239924965402081512233
y[1] (numeric) = 2.5002558331239924687890042943167
absolute error = 2.77512038569066e-17
relative error = 1.1099345710647668916116851122399e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8193492151400990941989098710317
y[1] (analytic) = 2.500799144682458602288548473236
y[1] (numeric) = 2.5007991446824585745372827500084
absolute error = 2.77512657232276e-17
relative error = 1.1096959058961667987106354311798e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8203424673472864887091416603896
y[1] (analytic) = 2.5013424475244256310335631611946
y[1] (numeric) = 2.5013424475244256032822356409227
absolute error = 2.77513275202719e-17
relative error = 1.1094573455041048729619179141452e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8213357195544738832193734497475
y[1] (analytic) = 2.5018857416531478371778231161274
y[1] (numeric) = 2.5018857416531478094264338679975
absolute error = 2.77513892481299e-17
relative error = 1.1092188898199992104104970942890e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8223289717616612777296052391054
y[1] (analytic) = 2.502429027071877653028502933778
y[1] (numeric) = 2.5024290270718776252770520268862
absolute error = 2.77514509068918e-17
relative error = 1.1089805387753237093579098092033e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.388
Order of pole = 0.6006
x[1] = 3.8233222239688486722398370284633
y[1] (analytic) = 2.5029723037838656901574106610412
y[1] (numeric) = 2.5029723037838656624058981643933
absolute error = 2.77515124966479e-17
relative error = 1.1087422923016199903344600058098e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.983
Order of pole = 0.9381
x[1] = 3.8243154761760360667500688178212
y[1] (analytic) = 2.5035155717923607407597488648091
y[1] (numeric) = 2.5035155717923607130081748473206
absolute error = 2.77515740174885e-17
relative error = 1.1085041503304933230266992000873e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8253087283832234612603006071791
y[1] (analytic) = 2.504058831100609779011608433138
y[1] (numeric) = 2.5040588311006097512599729636348
absolute error = 2.77516354695032e-17
relative error = 1.1082661127935845974162669934358e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 12.66
Order of pole = 3.328
x[1] = 3.826301980590410855770532396537
y[1] (analytic) = 2.504602081711857962426196526796
y[1] (numeric) = 2.5046020817118579346744996740139
absolute error = 2.77516968527821e-17
relative error = 1.1080281796226181917569984336224e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=480.6MB, alloc=4.4MB, time=59.88
NO POLE
x[1] = 3.8272952327975982502807641858949
y[1] (analytic) = 2.5051453236293486332088000973951
y[1] (numeric) = 2.5051453236293486054570419299804
absolute error = 2.77517581674147e-17
relative error = 1.1077903507493579672359767148577e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8282884850047856447909959752528
y[1] (analytic) = 2.5056885568563233196104863864686
y[1] (numeric) = 2.5056885568563232918586669729779
absolute error = 2.77518194134907e-17
relative error = 1.1075526261056391473457754181456e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8292817372119730393012277646107
y[1] (analytic) = 2.506231781396021737280541818005
y[1] (numeric) = 2.5062317813960217095286612269057
absolute error = 2.77518805910993e-17
relative error = 1.1073150056233403049948123851886e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.557
Order of pole = 1.257
x[1] = 3.8302749894191604338114595539686
y[1] (analytic) = 2.5067749972516817906176506951111
y[1] (numeric) = 2.5067749972516817628657089947813
absolute error = 2.77519417003298e-17
relative error = 1.1070774892344072455087565539868e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.822
Order of pole = 0.7571
x[1] = 3.8312682416263478283216913433265
y[1] (analytic) = 2.507318204426539574119815109633
y[1] (numeric) = 2.5073182044265395463678123683614
absolute error = 2.77520027412716e-17
relative error = 1.1068400768708529286427830576400e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8322614938335352228319231326844
y[1] (analytic) = 2.5078614029238293737330174717287
y[1] (numeric) = 2.5078614029238293459809537577152
absolute error = 2.77520637140135e-17
relative error = 1.1066027684647294784745866230044e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8332547460407226173421549220423
y[1] (analytic) = 2.5084045927467836681986270645528
y[1] (numeric) = 2.5084045927467836404465024459083
absolute error = 2.77521246186445e-17
relative error = 1.1063655639481600286378962057304e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8342479982479100118523867114002
y[1] (analytic) = 2.5089477738986331303995520273788
y[1] (numeric) = 2.5089477738986331026473665721255
absolute error = 2.77521854552533e-17
relative error = 1.1061284632533187116456665888645e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.355
Order of pole = 1.45
x[1] = 3.8352412504550974063626185007581
y[1] (analytic) = 2.5094909463826066287051381686583
y[1] (numeric) = 2.50949094638260660095289194473
absolute error = 2.77522462239283e-17
relative error = 1.1058914663124305985682639920182e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.836234502662284800872850290116
y[1] (analytic) = 2.51003411020193122831481600869
y[1] (numeric) = 2.5100341102019312005625090839315
absolute error = 2.77523069247585e-17
relative error = 1.1056545730578074948832242992470e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 9.76
Order of pole = 2.173
x[1] = 3.8372277548694721953830820794739
y[1] (analytic) = 2.5105772653598321926004974497442
y[1] (numeric) = 2.5105772653598321648481298919124
absolute error = 2.77523675578318e-17
relative error = 1.1054177834217801280263561361230e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.007
Order of pole = 0.7818
x[1] = 3.8382210070766595898933138688318
y[1] (analytic) = 2.5111204118595329844477234696754
y[1] (numeric) = 2.5111204118595329566952953464389
absolute error = 2.77524281232365e-17
relative error = 1.1051810973367578561133867313901e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8392142592838469844035456581897
y[1] (analytic) = 2.5116635497042552675955642332281
y[1] (numeric) = 2.5116635497042552398430756121673
absolute error = 2.77524886210608e-17
relative error = 1.1049445147352086706964049469669e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8402075114910343789137774475476
y[1] (analytic) = 2.5122066788972189079752730134331
y[1] (numeric) = 2.5122066788972188802227239620404
absolute error = 2.77525490513927e-17
relative error = 1.1047080355496551477253215586495e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8412007636982217734240092369055
y[1] (analytic) = 2.5127497994416419750476953136742
y[1] (numeric) = 2.5127497994416419472950858993543
absolute error = 2.77526094143199e-17
relative error = 1.1044716597126704037676017691333e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8421940159054091679342410262634
y[1] (analytic) = 2.5132929113407407431394345791993
y[1] (numeric) = 2.5132929113407407153867648692692
absolute error = 2.77526697099301e-17
relative error = 1.1042353871568899728533472382581e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8431872681125965624444728156213
y[1] (analytic) = 2.5138360145977296927777758850376
y[1] (numeric) = 2.5138360145977296650250459467267
absolute error = 2.77527299383109e-17
relative error = 1.1039992178150077559945923076886e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8441805203197839569547046049792
y[1] (analytic) = 2.5143791092158215120243689854847
y[1] (numeric) = 2.5143791092158214842715788859348
absolute error = 2.77527900995499e-17
relative error = 1.1037631516197799302112465404413e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8451737725269713514649363943371
y[1] (analytic) = 2.514922195198227097807672108512
y[1] (numeric) = 2.5149221951982270700548219147779
absolute error = 2.77528501937341e-17
relative error = 1.1035271885040010186362811013529e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.846167024734158745975168183695
y[1] (analytic) = 2.5154652725481555572541578766614
y[1] (numeric) = 2.5154652725481555295012476557105
absolute error = 2.77529102209509e-17
relative error = 1.1032913284005435981494718578203e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8471602769413461404853999730529
y[1] (analytic) = 2.5160083412688142090182827341839
y[1] (numeric) = 2.5160083412688141812653125528967
absolute error = 2.77529701812872e-17
relative error = 1.1030555712423224391501669804670e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8481535291485335349956317624108
y[1] (analytic) = 2.5165514013634085846112212583942
y[1] (numeric) = 2.5165514013634085568581911835641
absolute error = 2.77530300748301e-17
relative error = 1.1028199169623222708399024291475e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8491467813557209295058635517687
y[1] (analytic) = 2.5170944528351424297283667314142
y[1] (numeric) = 2.5170944528351424019752768297479
absolute error = 2.77530899016663e-17
relative error = 1.1025843654935738637197501435513e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8501400335629083240160953411266
y[1] (analytic) = 2.5176374956872177055755993466977
y[1] (numeric) = 2.5176374956872176778224496848153
absolute error = 2.77531496618824e-17
relative error = 1.1023489167691658908480573313839e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8511332857700957185263271304845
y[1] (analytic) = 2.5181805299228345901943234229356
y[1] (numeric) = 2.5181805299228345624411140673706
absolute error = 2.77532093555650e-17
relative error = 1.1021135707222488315153401037849e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 11.06
Order of pole = 2.635
x[1] = 3.8521265379772831130365589198424
y[1] (analytic) = 2.518723555545191479785274996163
y[1] (numeric) = 2.5187235555451914520320060133624
absolute error = 2.77532689828006e-17
relative error = 1.1018783272860309293465138703395e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8531197901844705075467907092003
y[1] (analytic) = 2.5192665725574849900311011591048
y[1] (numeric) = 2.5192665725574849622777726154295
absolute error = 2.77533285436753e-17
relative error = 1.1016431863937662168191706250836e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8541130423916579020570224985582
y[1] (analytic) = 2.5198095809629099574177125150224
y[1] (numeric) = 2.5198095809629099296643244767472
absolute error = 2.77533880382752e-17
relative error = 1.1014081479787703351497856644031e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=484.4MB, alloc=4.4MB, time=60.35
Complex estimate of poles used
Radius of convergence = 8.105
Order of pole = 1.646
x[1] = 3.8551062945988452965672542879161
y[1] (analytic) = 2.5203525807646594405544101115454
y[1] (numeric) = 2.520352580764659412800962644859
absolute error = 2.77534474666864e-17
relative error = 1.1011732119744204629409972438068e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 14.29
Order of pole = 4.063
x[1] = 3.856099546806032691077486077274
y[1] (analytic) = 2.5208955719659247214927882182013
y[1] (numeric) = 2.5208955719659246937392813892062
absolute error = 2.77535068289951e-17
relative error = 1.1009383783141592117725109253327e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8570927990132200855877178666319
y[1] (analytic) = 2.5214385545698953070444143095848
y[1] (numeric) = 2.5214385545698952792908481842982
absolute error = 2.77535661252866e-17
relative error = 1.1007036469314548908761914308666e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8580860512204074800979496559898
y[1] (analytic) = 2.5219815285797589300972876143442
y[1] (numeric) = 2.5219815285797589023436622586974
absolute error = 2.77536253556468e-17
relative error = 1.1004690177598609515502882828343e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8590793034275948746081814453477
y[1] (analytic) = 2.5225244939987015509310775883919
y[1] (numeric) = 2.5225244939987015231773930682308
absolute error = 2.77536845201611e-17
relative error = 1.1002344907329722834596541093346e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8600725556347822691184132347056
y[1] (analytic) = 2.5230674508299073585311436689892
y[1] (numeric) = 2.5230674508299073307774000500743
absolute error = 2.77537436189149e-17
relative error = 1.1000000657844449822460144680075e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8610658078419696636286450240635
y[1] (analytic) = 2.5236103990765587719013376645931
y[1] (numeric) = 2.5236103990765587441475350125995
absolute error = 2.77538026519936e-17
relative error = 1.0997657428479962787427058303340e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.466
Order of pole = 0.847
x[1] = 3.8620590600491570581388768134214
y[1] (analytic) = 2.5241533387418364413755901335957
y[1] (numeric) = 2.5241533387418364136217285141136
absolute error = 2.77538616194821e-17
relative error = 1.0995315218573846596656446326077e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8630523122563444526491086027793
y[1] (analytic) = 2.5246962698289192499282821033356
y[1] (numeric) = 2.5246962698289192221743615818701
absolute error = 2.77539205214655e-17
relative error = 1.0992974027464375444313354542497e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8640455644635318471593403921372
y[1] (analytic) = 2.5252391923409843144834034790034
y[1] (numeric) = 2.5252391923409842867294241209745
absolute error = 2.77539793580289e-17
relative error = 1.0990633854490432860899655041331e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8650388166707192416695721814951
y[1] (analytic) = 2.5257821062812069872224994903189
y[1] (numeric) = 2.5257821062812069594684613610621
absolute error = 2.77540381292568e-17
relative error = 1.0988294698991273459035148490078e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.866032068877906636179803970853
y[1] (analytic) = 2.5263250116527608568914065221105
y[1] (numeric) = 2.5263250116527608291373096868767
absolute error = 2.77540968352338e-17
relative error = 1.0985956560306799567968321302390e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8670253210850940306900357602109
y[1] (analytic) = 2.5268679084588177501057786731802
y[1] (numeric) = 2.5268679084588177223516231971357
absolute error = 2.77541554760445e-17
relative error = 1.0983619437777520914061495992844e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 11.92
Order of pole = 2.968
x[1] = 3.8680185732922814252002675495688
y[1] (analytic) = 2.5274107967025477326554063860986
y[1] (numeric) = 2.5274107967025477049011923343254
absolute error = 2.77542140517732e-17
relative error = 1.0981283330744435220944940500039e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8690118254994688197104993389267
y[1] (analytic) = 2.5279536763871191108073284888367
y[1] (numeric) = 2.5279536763871190830530559263323
absolute error = 2.77542725625044e-17
relative error = 1.0978948238549225425083753976118e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8700050777066562142207311282846
y[1] (analytic) = 2.5284965475156984326077389874002
y[1] (numeric) = 2.5284965475156984048534079790783
absolute error = 2.77543310083219e-17
relative error = 1.0976614160533902948641342792207e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8719915821210310032411947070004
y[1] (analytic) = 2.5295822641175383160375917967966
y[1] (numeric) = 2.5295822641175382882831440912443
absolute error = 2.77544477055523e-17
relative error = 1.0971949044414503210506877118000e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8729848343282183977514264963583
y[1] (analytic) = 2.5301251095971231943555123941831
y[1] (numeric) = 2.5301251095971231666010064370503
absolute error = 2.77545059571328e-17
relative error = 1.0969618004997470129448909996234e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8739780865354057922616582857162
y[1] (analytic) = 2.530667946533364652294276177544
y[1] (numeric) = 2.5306679465333646245397120334092
absolute error = 2.77545641441348e-17
relative error = 1.0967287977134411557234189996184e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.432
Order of pole = 1.456
x[1] = 3.8749713387425931867718900750741
y[1] (analytic) = 2.5312107749294204662823647413276
y[1] (numeric) = 2.5312107749294204385277424746855
absolute error = 2.77546222666421e-17
relative error = 1.0964958960170356295453834936955e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.875964590949780581282121864432
y[1] (analytic) = 2.5317535947884466623136201602485
y[1] (numeric) = 2.5317535947884466345589398355103
absolute error = 2.77546803247382e-17
relative error = 1.0962630953450816041213734575926e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8769578431569679757923536537899
y[1] (analytic) = 2.5322964061135975172407523903703
y[1] (numeric) = 2.5322964061135974894860140718642
absolute error = 2.77547383185061e-17
relative error = 1.0960303956321705841554576050891e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8779510953641553703025854431478
y[1] (analytic) = 2.5328392089080255600676520723451
y[1] (numeric) = 2.5328392089080255323128558243161
absolute error = 2.77547962480290e-17
relative error = 1.0957977968129619982683128831438e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8789443475713427648128172325057
y[1] (analytic) = 2.5333820031748815732405100604654
y[1] (numeric) = 2.5333820031748815454856559470755
absolute error = 2.77548541133899e-17
relative error = 1.0955652988221673322411574159292e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8799375997785301593230490218636
y[1] (analytic) = 2.5339247889173145939377449994764
y[1] (numeric) = 2.5339247889173145661828330848047
absolute error = 2.77549119146717e-17
relative error = 1.0953329015945540148949123747938e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.114
Order of pole = 0.5214
x[1] = 3.8809308519857175538332808112215
y[1] (analytic) = 2.534467566138471915358740269386
y[1] (numeric) = 2.5344675661384718876037706174287
absolute error = 2.77549696519573e-17
relative error = 1.0951006050649492989827201778151e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8819241041929049483435126005794
y[1] (analytic) = 2.5350103348414990880113916168057
y[1] (numeric) = 2.5350103348414990602563642914766
absolute error = 2.77550273253291e-17
relative error = 1.0948684091682204685610008703630e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.754
Order of pole = 1.538
memory used=488.2MB, alloc=4.4MB, time=60.81
x[1] = 3.8829173564000923428537443899373
y[1] (analytic) = 2.5355530950295399209984667896522
y[1] (numeric) = 2.5355530950295398932433818547824
absolute error = 2.77550849348698e-17
relative error = 1.0946363138393063426530746703479e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8839106086072797373639761792952
y[1] (analytic) = 2.5360958467057364833027784903366
y[1] (numeric) = 2.5360958467057364555476360096747
absolute error = 2.77551424806619e-17
relative error = 1.0944043190131974785736287560475e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.326
Order of pole = 0.9893
x[1] = 3.8849038608144671318742079686531
y[1] (analytic) = 2.5366385898732291050711719608732
y[1] (numeric) = 2.5366385898732290773159719980856
absolute error = 2.77551999627876e-17
relative error = 1.0941724246249321695749130322335e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.885897113021654526384439758011
y[1] (analytic) = 2.5371813245351563788973285116423
y[1] (numeric) = 2.5371813245351563511420711303135
absolute error = 2.77552573813288e-17
relative error = 1.0939406306095963890180000184020e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8868903652288419208946715473689
y[1] (analytic) = 2.5377240506946551611033863038488
y[1] (numeric) = 2.5377240506946551333480715674809
absolute error = 2.77553147363679e-17
relative error = 1.0937089369023552589320659359534e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8878836174360293154049033367268
y[1] (analytic) = 2.5382667683548605730203796940257
y[1] (numeric) = 2.538266768354860545265007666039
absolute error = 2.77553720279867e-17
relative error = 1.0934773434384096239811163288027e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8888768696432167099151351260847
y[1] (analytic) = 2.5388094775189060022674984472479
y[1] (numeric) = 2.5388094775189059745120691909809
absolute error = 2.77554292562670e-17
relative error = 1.0932458501530196416552780664388e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8898701218504041044253669154426
y[1] (analytic) = 2.5393521781899231040301681240313
y[1] (numeric) = 2.5393521781899230762746817027409
absolute error = 2.77554864212904e-17
relative error = 1.0930144569814968381200354534801e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8908633740575914989355987048005
y[1] (analytic) = 2.5398948703710418023369529442116
y[1] (numeric) = 2.539894870371041774581409421073
absolute error = 2.77555435231386e-17
relative error = 1.0927831638592158601108552057945e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.157
Order of pole = 0.9575
x[1] = 3.8918566262647788934458304941584
y[1] (analytic) = 2.5404375540653902913352824294157
y[1] (numeric) = 2.5404375540653902635796818675227
absolute error = 2.77556005618930e-17
relative error = 1.0925519707215986574632322982881e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8928498784719662879560622835163
y[1] (analytic) = 2.5409802292760950365660031240602
y[1] (numeric) = 2.5409802292760950088103455864254
absolute error = 2.77556575376348e-17
relative error = 1.0923208775041183633639724086083e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8938431306791536824662940728742
y[1] (analytic) = 2.5415228960062807762367566931366
y[1] (numeric) = 2.5415228960062807484810422426913
absolute error = 2.77557144504453e-17
relative error = 1.0920898841423110389351678705729e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8948363828863410769765258622321
y[1] (analytic) = 2.542065554259070522494185693368
y[1] (numeric) = 2.5420655542590704947384143929624
absolute error = 2.77557713004056e-17
relative error = 1.0918589905717637999285831877395e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 11.44
Order of pole = 2.746
x[1] = 3.89582963509352847148675765159
y[1] (analytic) = 2.5426082040375855626949683126522
y[1] (numeric) = 2.5426082040375855349391402250556
absolute error = 2.77558280875966e-17
relative error = 1.0916281967281147575390582039173e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.004
Order of pole = 1.342
x[1] = 3.8968228873007158659969894409479
y[1] (analytic) = 2.5431508453449454606756833710382
y[1] (numeric) = 2.5431508453449454329197985589389
absolute error = 2.77558848120993e-17
relative error = 1.0913975025470647556903422425715e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8978161395079032605072212303058
y[1] (analytic) = 2.5436934781842680580215068748151
y[1] (numeric) = 2.543693478184268030265565400821
absolute error = 2.77559414739941e-17
relative error = 1.0911669079643497803912979733019e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8988093917150906550174530196637
y[1] (analytic) = 2.5442361025586694753337414136327
y[1] (numeric) = 2.5442361025586694475777433402709
absolute error = 2.77559980733618e-17
relative error = 1.0909364129157802221037217179902e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.8998026439222780495276848090216
y[1] (analytic) = 2.5447787184712641134961796889064
y[1] (numeric) = 2.5447787184712640857401250786235
absolute error = 2.77560546102829e-17
relative error = 1.0907060173372132844340414620084e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9007958961294654440379165983795
y[1] (analytic) = 2.5453213259251646549403034601064
y[1] (numeric) = 2.5453213259251646271841923752686
absolute error = 2.77561110848378e-17
relative error = 1.0904757211645607871171277553932e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9017891483366528385481483877374
y[1] (analytic) = 2.5458639249234820649093191938708
y[1] (numeric) = 2.5458639249234820371531516967642
absolute error = 2.77561674971066e-17
relative error = 1.0902455243337812472690886394520e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9027824005438402330583801770953
y[1] (analytic) = 2.5464065154693255927210316992309
y[1] (numeric) = 2.5464065154693255649648078520614
absolute error = 2.77562238471695e-17
relative error = 1.0900154267808955333869729257048e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9037756527510276275686119664532
y[1] (analytic) = 2.546949097565802773029557030584
y[1] (numeric) = 2.5469490975658027452732768954774
absolute error = 2.77562801351066e-17
relative error = 1.0897854284419789417488795709184e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9047689049582150220788437558111
y[1] (analytic) = 2.5474916712160194270858759384008
y[1] (numeric) = 2.547491671216019399329539577403
absolute error = 2.77563363609978e-17
relative error = 1.0895555292531572083763977253809e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.905762157165402416589075545169
y[1] (analytic) = 2.548034236423079663997229146009
y[1] (numeric) = 2.5480342364230796362408366210864
absolute error = 2.77563925249226e-17
relative error = 1.0893257291505986015045945798747e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.357
Order of pole = 1.191
x[1] = 3.9067554093725898110993073345269
y[1] (analytic) = 2.54857679319008588198535572915
y[1] (numeric) = 2.5485767931900858542289071021891
absolute error = 2.77564486269609e-17
relative error = 1.0890960280705452617442328970140e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.801
Order of pole = 1.541
x[1] = 3.9077486615797772056095391238848
y[1] (analytic) = 2.5491193415201387696435758733618
y[1] (numeric) = 2.5491193415201387418870712061695
absolute error = 2.77565046671923e-17
relative error = 1.0888664259492856583761414174481e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9087419137869646001197709132427
y[1] (analytic) = 2.5496618814163373071927192826065
y[1] (numeric) = 2.5496618814163372794361586369103
absolute error = 2.77565606456962e-17
relative error = 1.0886369227231584575283814954177e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9097351659941519946300027026006
y[1] (analytic) = 2.55020441288177876773590051092
y[1] (numeric) = 2.5502044128817787399792839483683
absolute error = 2.77566165625517e-17
relative error = 1.0884075183285485429133368294491e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.617
Order of pole = 0.7235
x[1] = 3.9107284182013393891402344919585
y[1] (analytic) = 2.5507469359195587185121424872302
y[1] (numeric) = 2.550746935919558690755470069392
memory used=492.1MB, alloc=4.4MB, time=61.25
absolute error = 2.77566724178382e-17
relative error = 1.0881782127019104845910547304983e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9117216704085267836504662813164
y[1] (analytic) = 2.551289450532771022148849501854
y[1] (numeric) = 2.5512894505327709943921212902194
absolute error = 2.77567282116346e-17
relative error = 1.0879490057797371035830155958509e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9127149226157141781606980706743
y[1] (analytic) = 2.5518319567245078379131309215592
y[1] (numeric) = 2.5518319567245078101563469775391
absolute error = 2.77567839440201e-17
relative error = 1.0877198974985907766444647554465e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9137081748229015726709298600322
y[1] (analytic) = 2.5523744544978596229619768984446
y[1] (numeric) = 2.5523744544978595952051372833713
absolute error = 2.77568396150733e-17
relative error = 1.0874908877950680964728703842050e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9147014270300889671811616493901
y[1] (analytic) = 2.5529169438559151335912873362726
y[1] (numeric) = 2.5529169438559151058343921113994
absolute error = 2.77568952248732e-17
relative error = 1.0872619766058390016508602819624e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.001
Order of pole = 0.5683
x[1] = 3.915694679237276361691393438748
y[1] (analytic) = 2.5534594248017614264837553762593
y[1] (numeric) = 2.5534594248017613987268046027611
absolute error = 2.77569507734982e-17
relative error = 1.0870331638676075316019422179240e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9166879314444637562016252281059
y[1] (analytic) = 2.5540018973384838599556066627146
y[1] (numeric) = 2.5540018973384838321986004016877
absolute error = 2.77570062610269e-17
relative error = 1.0868044495171431091973496450058e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9176811836516511507118570174638
y[1] (analytic) = 2.5545443614691660952021956473003
y[1] (numeric) = 2.5545443614691660674451339597628
absolute error = 2.77570616875375e-17
relative error = 1.0865758334912569792166689417792e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.509
Order of pole = 1.017
x[1] = 3.9186744358588385452220888068217
y[1] (analytic) = 2.5550868171968900975424601890648
y[1] (numeric) = 2.5550868171968900697853431359564
absolute error = 2.77571170531084e-17
relative error = 1.0863473157268256419646955203919e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.322
Order of pole = 1.181
x[1] = 3.9196676880660259397323205961796
y[1] (analytic) = 2.5556292645247361376622357057947
y[1] (numeric) = 2.5556292645247361099050633479768
absolute error = 2.77571723578179e-17
relative error = 1.0861188961607790406749004739483e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9206609402732133342425523855375
y[1] (analytic) = 2.5561717034557827928564301306166
y[1] (numeric) = 2.5561717034557827650992025288727
absolute error = 2.77572276017439e-17
relative error = 1.0858905747300887639600969677126e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9216541924804007287527841748954
y[1] (analytic) = 2.5567141339931069482700609261745
y[1] (numeric) = 2.5567141339931069205127781412103
absolute error = 2.77572827849642e-17
relative error = 1.0856623513717797309088028724034e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9226474446875881232630159642533
y[1] (analytic) = 2.557256556139783798138155407099
y[1] (numeric) = 2.5572565561397837703808174995422
absolute error = 2.77573379075568e-17
relative error = 1.0854342260229418613160705273080e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.3087
Order of pole = 0.5016
x[1] = 3.9236406968947755177732477536112
y[1] (analytic) = 2.5577989698988868470245156198844
y[1] (numeric) = 2.5577989698988868192671226502849
absolute error = 2.77573929695995e-17
relative error = 1.0852061986207143637918816496254e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9246339491019629122834795429691
y[1] (analytic) = 2.5583413752734879110593490276862
y[1] (numeric) = 2.5583413752734878833019010565166
absolute error = 2.77574479711696e-17
relative error = 1.0849782691022739526457569979336e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.925627201309150306793711332327
y[1] (analytic) = 2.5588837722666571191757662459559
y[1] (numeric) = 2.5588837722666570914182633336113
absolute error = 2.77575029123446e-17
relative error = 1.0847504374048621593028599299064e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 19.52
Order of pole = 6.969
x[1] = 3.9266204535163377013039431216849
y[1] (analytic) = 2.559426160881462914345147073229
y[1] (numeric) = 2.5594261608814628865875892800271
absolute error = 2.77575577932019e-17
relative error = 1.0845227034657735377408119956105e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9276137057235250958141749110428
y[1] (analytic) = 2.5599685411209720548113760597927
y[1] (numeric) = 2.5599685411209720270537634459737
absolute error = 2.77576126138190e-17
relative error = 1.0842950672223634164167924294371e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 10.9
Order of pole = 2.517
x[1] = 3.9286069579307124903244067004007
y[1] (analytic) = 2.560510912988249615323948855363
y[1] (numeric) = 2.5605109129882495875662814810902
absolute error = 2.77576673742728e-17
relative error = 1.0840675286120204911136058576792e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.069
Order of pole = 1.348
x[1] = 3.9296002101378998848346384897586
y[1] (analytic) = 2.5610532764863589883699505753181
y[1] (numeric) = 2.5610532764863589606122285006779
absolute error = 2.77577220746402e-17
relative error = 1.0838400875721902129823522371427e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9305934623450872793448702791165
y[1] (analytic) = 2.5615956316183618854049074234408
y[1] (numeric) = 2.5615956316183618576471307084426
absolute error = 2.77577767149982e-17
relative error = 1.0836127440403786277953743556357e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9315867145522746738551020684744
y[1] (analytic) = 2.5621379783873183380825128075422
y[1] (numeric) = 2.5621379783873183103246815121184
absolute error = 2.77578312954238e-17
relative error = 1.0833854979541484043486215638679e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9325799667594620683653338578323
y[1] (analytic) = 2.5626803167962866994832291827549
y[1] (numeric) = 2.5626803167962866717253433667614
absolute error = 2.77578858159935e-17
relative error = 1.0831583492510992592558467697783e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 12.67
Order of pole = 3.221
x[1] = 3.9335732189666494628755656471902
y[1] (analytic) = 2.5632226468483236453417668557052
y[1] (numeric) = 2.5632226468483236175838265789215
absolute error = 2.77579402767837e-17
relative error = 1.0829312978688835186489601484123e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9345664711738368573857974365481
y[1] (analytic) = 2.5637649685464841752734409811943
y[1] (numeric) = 2.5637649685464841475154463033232
absolute error = 2.77579946778711e-17
relative error = 1.0827043437452216601328567622323e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.935559723381024251896029225906
y[1] (analytic) = 2.5643072818938216139994079814423
y[1] (numeric) = 2.5643072818938215862413589621102
absolute error = 2.77580490193321e-17
relative error = 1.0824774868178788381385174016511e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.49
Order of pole = 0.8412
x[1] = 3.9365529755882116464062610152639
y[1] (analytic) = 2.5648495868933876125707826163786
y[1] (numeric) = 2.5648495868933875848126793151358
absolute error = 2.77581033012428e-17
relative error = 1.0822507270246648322481554358364e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9375462277953990409164928046218
y[1] (analytic) = 2.5653918835482321495916369318892
y[1] (numeric) = 2.5653918835482321218334794082099
absolute error = 2.77581575236793e-17
relative error = 1.0820240643034456897114312666553e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9385394800025864354267245939797
y[1] (analytic) = 2.565934171861403532440882311362
y[1] (numeric) = 2.5659341718614035046826706246446
absolute error = 2.77582116867174e-17
relative error = 1.0817974985921319699074334172023e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=495.9MB, alloc=4.4MB, time=61.70
NO POLE
x[1] = 3.9395327322097738299369563833376
y[1] (analytic) = 2.5664764518359483984930358543075
y[1] (numeric) = 2.566476451835948370734770063874
absolute error = 2.77582657904335e-17
relative error = 1.0815710298287137604280411224719e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9405259844169612244471881726955
y[1] (analytic) = 2.5670187234749117163378723042641
y[1] (numeric) = 2.567018723474911688579552469361
absolute error = 2.77583198349031e-17
relative error = 1.0813446579512021551155648228459e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.196
Order of pole = 1.375
x[1] = 3.9415192366241486189574199620534
y[1] (analytic) = 2.5675609867813367869989627466415
y[1] (numeric) = 2.5675609867813367592405889264397
absolute error = 2.77583738202018e-17
relative error = 1.0811183828976681749366718224766e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 8.707
Order of pole = 1.78
x[1] = 3.9425124888313360134676517514113
y[1] (analytic) = 2.5681032417582652451511012955896
y[1] (numeric) = 2.5681032417582652173926735491844
absolute error = 2.77584277464052e-17
relative error = 1.0808922046062388063830709485253e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9435057410385234079778835407692
y[1] (analytic) = 2.5686454884087370603366209874277
y[1] (numeric) = 2.5686454884087370325781393738387
absolute error = 2.77584816135890e-17
relative error = 1.0806661230151008311013117327786e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9444989932457108024881153301271
y[1] (analytic) = 2.5691877267357905381806000966108
y[1] (numeric) = 2.5691877267357905104220646747825
absolute error = 2.77585354218283e-17
relative error = 1.0804401380624735124330462192780e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.945492245452898196998347119485
y[1] (analytic) = 2.5697299567424623216049600886608
y[1] (numeric) = 2.5697299567424622938463709174624
absolute error = 2.77585891711984e-17
relative error = 1.0802142496866396884338213575200e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9464854976600855915085789088429
y[1] (analytic) = 2.5702721784317873920414564229356
y[1] (numeric) = 2.5702721784317873642828135611611
absolute error = 2.77586428617745e-17
relative error = 1.0799884578259340285169073240419e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9474787498672729860188106982008
y[1] (analytic) = 2.5708143918067990706435634165637
y[1] (numeric) = 2.5708143918067990428848669229322
absolute error = 2.77586964936315e-17
relative error = 1.0797627624187351947824994425328e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.853
Order of pole = 1.291
x[1] = 3.9484720020744603805290424875587
y[1] (analytic) = 2.5713565968705290194972543793257
y[1] (numeric) = 2.5713565968705289917385043124813
absolute error = 2.77587500668444e-17
relative error = 1.0795371634034813472567147973437e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9494652542816477750392742769166
y[1] (analytic) = 2.5718987936260072428306782277199
y[1] (numeric) = 2.5718987936260072150718746462319
absolute error = 2.77588035814880e-17
relative error = 1.0793116607186584122785550885035e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9504585064888351695495060662745
y[1] (analytic) = 2.5724409820762620882227337849074
y[1] (numeric) = 2.5724409820762620604638767472706
absolute error = 2.77588570376368e-17
relative error = 1.0790862543027961404458844126861e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.694
Order of pole = 0.8708
x[1] = 3.9514517586960225640597378556324
y[1] (analytic) = 2.572983162224320247810542971695
y[1] (numeric) = 2.5729831622243202200516325363293
absolute error = 2.77589104353657e-17
relative error = 1.0788609440944952618650702525841e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9524450109032099585699696449903
y[1] (analytic) = 2.5735253340732067594958240921732
y[1] (numeric) = 2.5735253340732067317368603174242
absolute error = 2.77589637747490e-17
relative error = 1.0786357300323885498334543644361e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.476
Order of pole = 0.5366
x[1] = 3.9534382631103973530802014343482
y[1] (analytic) = 2.5740674976259450081501664160974
y[1] (numeric) = 2.5740674976259449803911493602365
absolute error = 2.77590170558609e-17
relative error = 1.0784106120551602072647230162856e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9544315153175847475904332237061
y[1] (analytic) = 2.574609652885556726819207258564
y[1] (numeric) = 2.5746096528855566990601369797881
absolute error = 2.77590702787759e-17
relative error = 1.0781855901015613445412601392475e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.955424767524772142100665013064
y[1] (analytic) = 2.5751517998550619979257127560024
y[1] (numeric) = 2.5751517998550619701665893124343
absolute error = 2.77591234435681e-17
relative error = 1.0779606641103827218926786009435e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9564180197319595366108968024219
y[1] (analytic) = 2.57569393853747925447156353598
y[1] (numeric) = 2.5756939385374792267123869856685
absolute error = 2.77591765503115e-17
relative error = 1.0777358340204663506931742463705e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9574112719391469311211285917798
y[1] (analytic) = 2.5762360689358252812386464767879
y[1] (numeric) = 2.5762360689358252534794168777079
absolute error = 2.77592295990800e-17
relative error = 1.0775110997707054352207432579335e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.901
Order of pole = 0.9033
x[1] = 3.9584045241463343256313603811377
y[1] (analytic) = 2.5767781910531152159886537512524
y[1] (numeric) = 2.5767781910531151882293711613049
absolute error = 2.77592825899475e-17
relative error = 1.0772864613000481953110396607893e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 13.1
Order of pole = 3.382
x[1] = 3.9593977763535217201415921704956
y[1] (analytic) = 2.5773203048923625506617903476965
y[1] (numeric) = 2.5773203048923625229024548247088
absolute error = 2.77593355229877e-17
relative error = 1.0770619185474900441960279945458e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9603910285607091146518239598535
y[1] (analytic) = 2.5778624104565791325743912594566
y[1] (numeric) = 2.5778624104565791048150028611823
absolute error = 2.77593883982743e-17
relative error = 1.0768374714520812929503122364913e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9613842807678965091620557492114
y[1] (analytic) = 2.5784045077487751656154495328419
y[1] (numeric) = 2.5784045077487751378560083169615
absolute error = 2.77594412158804e-17
relative error = 1.0766131199529038182849789012985e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9623775329750839036722875385693
y[1] (analytic) = 2.5789465967719592114420563619112
y[1] (numeric) = 2.5789465967719591836825623860315
absolute error = 2.77594939758797e-17
relative error = 1.0763888639891175557130264646584e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 20.34
Order of pole = 7.434
x[1] = 3.9633707851822712981825193279272
y[1] (analytic) = 2.5794886775291381906737544169256
y[1] (numeric) = 2.5794886775291381629142077385799
absolute error = 2.77595466783457e-17
relative error = 1.0761647034999293993501371629311e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9643640373894586926927511172851
y[1] (analytic) = 2.5800307500233173840858055918294
y[1] (numeric) = 2.580030750023317356326206268478
absolute error = 2.77595993233514e-17
relative error = 1.0759406384245815205420815834822e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.965357289596646087202982906643
y[1] (analytic) = 2.5805728142575004338013743546016
y[1] (numeric) = 2.5805728142575004060417224436319
absolute error = 2.77596519109697e-17
relative error = 1.0757166687023668269806748583426e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9663505418038334817132146960009
y[1] (analytic) = 2.5811148702346893444826278828145
y[1] (numeric) = 2.5811148702346893167229234415408
absolute error = 2.77597044412737e-17
relative error = 1.0754927942726405280507195044140e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=499.7MB, alloc=4.4MB, time=62.17
Complex estimate of poles used
Radius of convergence = 4.239
Order of pole = 0.8007
x[1] = 3.9673437940110208762234464853588
y[1] (analytic) = 2.5816569179578844845207541652316
y[1] (numeric) = 2.5816569179578844567609972508953
absolute error = 2.77597569143363e-17
relative error = 1.0752690150748045712434731634517e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9683370462182082707336782747167
y[1] (analytic) = 2.5821989574300845872248992487765
y[1] (numeric) = 2.5821989574300845594650899185463
absolute error = 2.77598093302302e-17
relative error = 1.0750453310483075888516957007842e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9693302984253956652439100640746
y[1] (analytic) = 2.5827409886542867520100248087062
y[1] (numeric) = 2.5827409886542867242501631196781
absolute error = 2.77598616890281e-17
relative error = 1.0748217421326525884485131740982e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9703235506325830597541418534325
y[1] (analytic) = 2.5832830116334864455836872183211
y[1] (numeric) = 2.5832830116334864178237732275187
absolute error = 2.77599139908024e-17
relative error = 1.0745982482673852784744835795887e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 8.567
Order of pole = 1.726
x[1] = 3.9713168028397704542643736427904
y[1] (analytic) = 2.5838250263706775031317392930545
y[1] (numeric) = 2.5838250263706774753717730574287
absolute error = 2.77599662356258e-17
relative error = 1.0743748493921172406044307468655e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.61
Order of pole = 0.6138
x[1] = 3.9723100550469578487746054321483
y[1] (analytic) = 2.5843670328688521295029558822858
y[1] (numeric) = 2.5843670328688521017429374587153
absolute error = 2.77600184235705e-17
relative error = 1.0741515454464949010887714386200e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9733033072541452432848372215062
y[1] (analytic) = 2.5849090311310009003925844807366
y[1] (numeric) = 2.5849090311310008726325139260279
absolute error = 2.77600705547087e-17
relative error = 1.0739283363702188330427133709806e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9742965594613326377950690108641
y[1] (analytic) = 2.5854510211601127635248220298158
y[1] (numeric) = 2.5854510211601127357646994007034
absolute error = 2.77601226291124e-17
relative error = 1.0737052221030359598825485109381e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.975289811668520032305300800222
y[1] (analytic) = 2.5859930029591750398342190777966
y[1] (numeric) = 2.5859930029591750120740444309425
absolute error = 2.77601746468541e-17
relative error = 1.0734822025847665714504633798509e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9762830638757074268155325895799
y[1] (analytic) = 2.5865349765311734246460124662204
y[1] (numeric) = 2.5865349765311733968857858582151
absolute error = 2.77602266080053e-17
relative error = 1.0732592777552462503030308693366e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9772763160828948213257643789378
y[1] (analytic) = 2.5870769418790919888553877084476
y[1] (numeric) = 2.5870769418790919610951091958098
absolute error = 2.77602785126378e-17
relative error = 1.0730364475543761012576330589665e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.055
Order of pole = 0.6555
x[1] = 3.9782695682900822158359961682957
y[1] (analytic) = 2.5876188990059131801056722247867
y[1] (numeric) = 2.5876188990059131523453418639633
absolute error = 2.77603303608234e-17
relative error = 1.0728137119221110849142742327198e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9792628204972696103462279576536
y[1] (analytic) = 2.5881608479146178239654605971613
y[1] (numeric) = 2.5881608479146177962050784445274
absolute error = 2.77603821526339e-17
relative error = 1.0725910707984599570837759708125e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.742
Order of pole = 0.6252
x[1] = 3.9802560727044570048564597470115
y[1] (analytic) = 2.5887027886081851251046730047972
y[1] (numeric) = 2.5887027886081850973442391166566
absolute error = 2.77604338881406e-17
relative error = 1.0723685241234658936047996964551e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9812493249116443993666915363694
y[1] (analytic) = 2.589244721089592668469548000939
y[1] (numeric) = 2.5892447210895926407090624335242
absolute error = 2.77604855674148e-17
relative error = 1.0721460718372257607993629419573e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9822425771188317938769233257273
y[1] (analytic) = 2.5897866453618164204565707891333
y[1] (numeric) = 2.5897866453618163926960335986055
absolute error = 2.77605371905278e-17
relative error = 1.0719237138798900551290258176163e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9832358293260191883871551150852
y[1] (analytic) = 2.5903285614278307300853381561468
y[1] (numeric) = 2.5903285614278307023247493985957
absolute error = 2.77605887575511e-17
relative error = 1.0717014501916705639609329532470e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.873
Order of pole = 0.6372
x[1] = 3.9842290815332065828973869044431
y[1] (analytic) = 2.5908704692906083301703612171204
y[1] (numeric) = 2.5908704692906083024097209485648
absolute error = 2.77606402685556e-17
relative error = 1.0714792807128094196591465069353e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 10.9
Order of pole = 2.476
x[1] = 3.985222333740393977407618693801
y[1] (analytic) = 2.5914123689531203384918071270972
y[1] (numeric) = 2.591412368953120310731115403485
absolute error = 2.77606917236122e-17
relative error = 1.0712572053836022171030225269865e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.883
Order of pole = 0.6381
x[1] = 3.9862155859475813719178504831589
y[1] (analytic) = 2.591954260418336258965180911597
y[1] (numeric) = 2.5919542604183362312044377888053
absolute error = 2.77607431227917e-17
relative error = 1.0710352241443940955622805505808e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.227
Order of pole = 1.144
x[1] = 3.9872088381547687664280822725168
y[1] (analytic) = 2.5924961436892239828099485674508
y[1] (numeric) = 2.5924961436892239550491541012855
absolute error = 2.77607944661653e-17
relative error = 1.0708133369355989692098203721910e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9882020903619561609383140618747
y[1] (analytic) = 2.5930380187687497897171025836482
y[1] (numeric) = 2.5930380187687497619562568298448
absolute error = 2.77608457538034e-17
relative error = 1.0705915436976531733633536263733e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9891953425691435554485458512326
y[1] (analytic) = 2.5935798856598783490156710304992
y[1] (numeric) = 2.5935798856598783212547740447227
absolute error = 2.77608969857765e-17
relative error = 1.0703698443710501380065533215914e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9901885947763309499587776405905
y[1] (analytic) = 2.5941217443655727208381713639509
y[1] (numeric) = 2.5941217443655726930772232017958
absolute error = 2.77609481621551e-17
relative error = 1.0701482388963364691670727038576e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9911818469835183444690094299484
y[1] (analytic) = 2.5946635948887943572850100904519
y[1] (numeric) = 2.5946635948887943295240108074421
absolute error = 2.77609992830098e-17
relative error = 1.0699267272141157433388937754045e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.26
Order of pole = 0.9589
x[1] = 3.9921750991907057389792412193063
y[1] (analytic) = 2.5952054372325031035878294363052
y[1] (numeric) = 2.5952054372325030758267790878946
absolute error = 2.77610503484106e-17
relative error = 1.0697053092650214710811364524951e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9931683513978931334894730086642
y[1] (analytic) = 2.5957472713996571992718021640046
y[1] (numeric) = 2.5957472713996571715107008055768
absolute error = 2.77611013584278e-17
relative error = 1.0694839849897517337669001894479e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9941616036050805279997047980221
y[1] (analytic) = 2.5962890973932132793168756765991
y[1] (numeric) = 2.5962890973932132515557233634678
absolute error = 2.77611523131313e-17
relative error = 1.0692627543290421505471054760255e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=503.5MB, alloc=4.4MB, time=62.63
NO POLE
x[1] = 3.99515485581226792250993658738
y[1] (analytic) = 2.5968309152161263753179665496923
y[1] (numeric) = 2.5968309152161263475567633371009
absolute error = 2.77612032125914e-17
relative error = 1.0690416172236966418760404376138e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.819
Order of pole = 0.5548
x[1] = 3.9961481080194553170201683767379
y[1] (analytic) = 2.5973727248713499166441066292346
y[1] (numeric) = 2.5973727248713498888828525723569
absolute error = 2.77612540568777e-17
relative error = 1.0688205736145450036971513133218e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.087
Order of pole = 0.5196
x[1] = 3.9971413602266427115304001660958
y[1] (analytic) = 2.5979145263618357315965418318346
y[1] (numeric) = 2.5979145263618357038352369857746
absolute error = 2.77613048460600e-17
relative error = 1.0685996234424775195501955607435e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9981346124338301060406319554537
y[1] (analytic) = 2.5984563196905340485657847828709
y[1] (numeric) = 2.598456319690534020804429202663
absolute error = 2.77613555802079e-17
relative error = 1.0683787666484294996780895035060e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 3.9991278646410175005508637448116
y[1] (analytic) = 2.5989981048603934971876224262551
y[1] (numeric) = 2.5989981048603934694262161668639
absolute error = 2.77614062593912e-17
relative error = 1.0681580031733966205697138854399e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0001211168482048950610955341695
y[1] (analytic) = 2.5995398818743611094980797382601
y[1] (numeric) = 2.5995398818743610817366228545809
absolute error = 2.77614568836792e-17
relative error = 1.0679373329584079301455680356402e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0011143690553922895713273235274
y[1] (analytic) = 2.6000816507353823210873406764001
y[1] (numeric) = 2.6000816507353822933258332232589
absolute error = 2.77615074531412e-17
relative error = 1.0677167559445450390950818095244e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0021076212625796840815591128853
y[1] (analytic) = 2.6006234114464009722526274929151
y[1] (numeric) = 2.6006234114464009444910695250686
absolute error = 2.77615579678465e-17
relative error = 1.0674962720729420620718173261424e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0031008734697670785917909022432
y[1] (analytic) = 2.6011651640103593091500395409886
y[1] (numeric) = 2.6011651640103592813884311131242
absolute error = 2.77616084278644e-17
relative error = 1.0672758812847855589678310815867e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0040941256769544731020226916011
y[1] (analytic) = 2.6017069084301979849453527004004
y[1] (numeric) = 2.6017069084301979571836938671365
absolute error = 2.77616588332639e-17
relative error = 1.0670555835213029453756010761559e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.005087377884141867612254480959
y[1] (analytic) = 2.6022486447088560609637805478944
y[1] (numeric) = 2.6022486447088560332020713637807
absolute error = 2.77617091841137e-17
relative error = 1.0668353787237624460228446710709e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0060806300913292621224862703169
y[1] (analytic) = 2.6027903728492710078386983961204
y[1] (numeric) = 2.6027903728492709800769389156374
absolute error = 2.77617594804830e-17
relative error = 1.0666152668335037845146017106967e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0070738822985166566327180596748
y[1] (analytic) = 2.6033320928543787066593313235864
y[1] (numeric) = 2.603332092854378678897521601146
absolute error = 2.77618097224404e-17
relative error = 1.0663952477918958513741176878725e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 24.18
Order of pole = 10.14
x[1] = 4.0080671345057040511429498490327
y[1] (analytic) = 2.6038738047271134501174073166473
y[1] (numeric) = 2.6038738047271134223555474065927
absolute error = 2.77618599100546e-17
relative error = 1.0661753215403635527049336832457e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0090603867128914456531816383906
y[1] (analytic) = 2.6044155084704079436527766431346
y[1] (numeric) = 2.6044155084704079158908665997405
absolute error = 2.77619100433941e-17
relative error = 1.0659554880203762290202669269391e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0100536389200788401634134277485
y[1] (analytic) = 2.6049572040871933065979985758233
y[1] (numeric) = 2.6049572040871932788360384532959
absolute error = 2.77619601225274e-17
relative error = 1.0657357471734552827011655656530e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.18
Order of pole = 0.6666
x[1] = 4.0110468911272662346736452171064
y[1] (analytic) = 2.6054988915803990733218965825188
y[1] (numeric) = 2.6054988915803990455598864349959
absolute error = 2.77620101475229e-17
relative error = 1.0655160989411702818356649594212e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0120401433344536291838770064643
y[1] (analytic) = 2.6060405709529531943720830981386
y[1] (numeric) = 2.6060405709529531666100229796896
absolute error = 2.77620601184490e-17
relative error = 1.0652965432651427434001705489782e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0130333955416410236941087958222
y[1] (analytic) = 2.6065822422077820376164549927571
y[1] (numeric) = 2.6065822422077820098543449573836
absolute error = 2.77621100353735e-17
relative error = 1.0650770800870230566394436935379e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0140266477488284182043405851801
y[1] (analytic) = 2.6071239053478103893836608481777
y[1] (numeric) = 2.6071239053478103616215009498129
absolute error = 2.77621598983648e-17
relative error = 1.0648577093485364768166982763562e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.015019899956015812714572374538
y[1] (analytic) = 2.6076655603759614556025411541906
y[1] (numeric) = 2.6076655603759614278403314466999
absolute error = 2.77622097074907e-17
relative error = 1.0646384309914370253039863648851e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0160131521632032072248041638959
y[1] (analytic) = 2.6082072072951568629405425342782
y[1] (numeric) = 2.608207207295156835178283071459
absolute error = 2.77622594628192e-17
relative error = 1.0644192449575381281448901957062e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.63
Order of pole = 0.7166
x[1] = 4.0170064043703906017350359532538
y[1] (analytic) = 2.6087488461083166599411071091282
y[1] (numeric) = 2.6087488461083166321787979447102
absolute error = 2.77623091644180e-17
relative error = 1.0642001511886933841366879999900e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0189929087847653907554995319696
y[1] (analytic) = 2.6098320994282017333008428119498
y[1] (numeric) = 2.6098320994282017055384344052527
absolute error = 2.77624084066971e-17
relative error = 1.0637622402138311522546914564726e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0199861609919527852657313213275
y[1] (analytic) = 2.610373713940759226349053997784
y[1] (numeric) = 2.6103737139407591985865960502714
absolute error = 2.77624579475126e-17
relative error = 1.0635434228917710957242207942201e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.184
Order of pole = 0.5783
x[1] = 4.0209794131991401797759631106854
y[1] (analytic) = 2.6109153203589455447055308777063
y[1] (numeric) = 2.6109153203589455169430234428378
absolute error = 2.77625074348685e-17
relative error = 1.0633246976026684531538794866180e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.261
Order of pole = 0.6744
x[1] = 4.0219726654063275742861949000433
y[1] (analytic) = 2.6114569186856728633187407438785
y[1] (numeric) = 2.6114569186856728355561838750464
absolute error = 2.77625568688321e-17
relative error = 1.0631060642886190707158758824727e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=507.3MB, alloc=4.4MB, time=63.08
Complex estimate of poles used
Radius of convergence = 9.45
Order of pole = 1.964
x[1] = 4.0229659176135149687964266894012
y[1] (analytic) = 2.6119985089238517858160223532121
y[1] (numeric) = 2.6119985089238517580534161037414
absolute error = 2.77626062494707e-17
relative error = 1.0628875228917701448606148331808e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0239591698207023633066584787591
y[1] (analytic) = 2.612540091076391345633832172582
y[1] (numeric) = 2.6125400910763913178711765957306
absolute error = 2.77626555768514e-17
relative error = 1.0626690733543125097723166608157e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.024952422027889757816890268117
y[1] (analytic) = 2.6130816651461990071469745786256
y[1] (numeric) = 2.6130816651461989793842697275847
absolute error = 2.77627048510409e-17
relative error = 1.0624507156184729344208944269229e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.424
Order of pole = 0.8207
x[1] = 4.0259456742350771523271220574749
y[1] (analytic) = 2.6136232311361806667968171079916
y[1] (numeric) = 2.6136232311361806390340630358852
absolute error = 2.77627540721064e-17
relative error = 1.0622324496265485163636579962868e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0269389264422645468373538468328
y[1] (analytic) = 2.6141647890492406542184918525204
y[1] (numeric) = 2.6141647890492406264556886124056
absolute error = 2.77628032401148e-17
relative error = 1.0620142753208760024706394051915e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0279321786494519413475856361907
y[1] (analytic) = 2.614706338888281733367084092466
y[1] (numeric) = 2.6147063388882817056042317373333
absolute error = 2.77628523551327e-17
relative error = 1.0617961926438317439515713580535e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 11.32
Order of pole = 2.597
x[1] = 4.0289254308566393358578174255486
y[1] (analytic) = 2.6152478806562051036428092594922
y[1] (numeric) = 2.6152478806562050758799078422657
absolute error = 2.77629014172265e-17
relative error = 1.0615782015378354751729758083174e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.027
Order of pole = 0.6499
x[1] = 4.0299186830638267303680492149065
y[1] (analytic) = 2.6157894143559104010151793198031
y[1] (numeric) = 2.6157894143559103732522288933402
absolute error = 2.77629504264629e-17
relative error = 1.0613603019453693795371525181141e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0309119352710141248782810042644
y[1] (analytic) = 2.6163309399902956991461596663966
y[1] (numeric) = 2.6163309399902956713831602834882
absolute error = 2.77629993829084e-17
relative error = 1.0611424938089589102243757209350e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0319051874782015193885127936223
y[1] (analytic) = 2.6168724575622575105123176080626
y[1] (numeric) = 2.6168724575622574827492693214333
absolute error = 2.77630482866293e-17
relative error = 1.0609247770711727415315628725895e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0328984396853889138987445829802
y[1] (analytic) = 2.6174139670746907875259635413799
y[1] (numeric) = 2.6174139670746907597628664036882
absolute error = 2.77630971376917e-17
relative error = 1.0607071516746227202764066136859e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.63
Order of pole = 0.7152
x[1] = 4.0338916918925763084089763723381
y[1] (analytic) = 2.6179554685304889236552858906001
y[1] (numeric) = 2.6179554685304888958921399544383
absolute error = 2.77631459361618e-17
relative error = 1.0604896175619752765908934728497e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.034884944099763702919208161696
y[1] (analytic) = 2.6184969619325437545434808989445
y[1] (numeric) = 2.6184969619325437267802862168387
absolute error = 2.77631946821058e-17
relative error = 1.0602721746759475446226078200179e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0358781963069510974294399510539
y[1] (analytic) = 2.6190384472837455591268783534789
y[1] (numeric) = 2.6190384472837455313636349778894
absolute error = 2.77632433755895e-17
relative error = 1.0600548229592920334682935783511e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.669
Order of pole = 0.8557
x[1] = 4.0368714485141384919396717404118
y[1] (analytic) = 2.6195799245869830607520643243739
y[1] (numeric) = 2.6195799245869830329887723076952
absolute error = 2.77632920166787e-17
relative error = 1.0598375623548118563718866363339e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0378647007213258864499035297697
y[1] (analytic) = 2.6201213938451434282920019979972
y[1] (numeric) = 2.620121393845143400528661392558
absolute error = 2.77633406054392e-17
relative error = 1.0596203928053606745755690529928e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0388579529285132809601353191276
y[1] (analytic) = 2.6206628550611122772611516819339
y[1] (numeric) = 2.6206628550611122494977625399971
absolute error = 2.77633891419368e-17
relative error = 1.0594033142538426412457912915433e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0398512051357006754703671084855
y[1] (analytic) = 2.6212043082377736709295910586732
y[1] (numeric) = 2.6212043082377736431661534324362
absolute error = 2.77634376262370e-17
relative error = 1.0591863266432009003533261409012e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0408444573428880699805988978434
y[1] (analytic) = 2.6217457533780101214361367633539
y[1] (numeric) = 2.6217457533780100936726507049487
absolute error = 2.77634860584052e-17
relative error = 1.0589694299164251710719317799315e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0418377095500754644908306872013
y[1] (analytic) = 2.622287190484702590900468359606
y[1] (numeric) = 2.6222871904847025631369339210991
absolute error = 2.77635344385069e-17
relative error = 1.0587526240165593227858861083710e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.027
Order of pole = 0.5669
x[1] = 4.0428309617572628590010624765592
y[1] (analytic) = 2.6228286195607304925342557861826
y[1] (numeric) = 2.6228286195607304647706730195753
absolute error = 2.77635827666073e-17
relative error = 1.0585359088866860646546774684678e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0438242139644502535112942659171
y[1] (analytic) = 2.6233700406089716917512913457292
y[1] (numeric) = 2.6233700406089716639876603029575
absolute error = 2.77636310427717e-17
relative error = 1.0583192844699421492681692633981e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.044817466171637648021526055275
y[1] (analytic) = 2.6239114536323025072766273056938
y[1] (numeric) = 2.6239114536323024795129480386289
absolute error = 2.77636792670649e-17
relative error = 1.0581027507094954464418391665268e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0458107183788250425317578446329
y[1] (analytic) = 2.6244528586335977122547201800414
y[1] (numeric) = 2.6244528586335976844909927404891
absolute error = 2.77637274395523e-17
relative error = 1.0578863075485868208007347148109e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0468039705860124370419896339908
y[1] (analytic) = 2.6249942556157305353565827590926
y[1] (numeric) = 2.6249942556157305075928071987939
absolute error = 2.77637755602987e-17
relative error = 1.0576699549304843383057537852887e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0477972227931998315522214233487
y[1] (analytic) = 2.6255356445815726618859449534747
y[1] (numeric) = 2.6255356445815726341221213241058
absolute error = 2.77638236293689e-17
relative error = 1.0574536927985060868813901029483e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0487904750003872260624532127066
y[1] (analytic) = 2.6260770255339942348844245168312
y[1] (numeric) = 2.6260770255339942071205528700038
absolute error = 2.77638716468274e-17
relative error = 1.0572375210960086971673007997653e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 26.03
Order of pole = 11.51
x[1] = 4.0497837272075746205726850020645
y[1] (analytic) = 2.626618398475863856235708710608
y[1] (numeric) = 2.6266183984758638284717890978687
absolute error = 2.77639196127393e-17
relative error = 1.0570214397664215635898129937550e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
memory used=511.1MB, alloc=4.4MB, time=63.54
x[1] = 4.0507769794147620150829167914224
y[1] (analytic) = 2.627159763410048587768747972895
y[1] (numeric) = 2.6271597634100485600047804457261
absolute error = 2.77639675271689e-17
relative error = 1.0568054487531934761108150608158e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0517702316219494095931485807803
y[1] (analytic) = 2.6277011203394139523599626519808
y[1] (numeric) = 2.6277011203394139245959472618002
absolute error = 2.77640153901806e-17
relative error = 1.0565895479998268469327106344627e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0527634838291368041033803701382
y[1] (analytic) = 2.6282424692668239350344638639424
y[1] (numeric) = 2.6282424692668239072704006621036
absolute error = 2.77640632018388e-17
relative error = 1.0563737374498738466685057870201e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.049
Order of pole = 0.5178
x[1] = 4.0537567360363241986136121594961
y[1] (analytic) = 2.6287838101951409840662895322689
y[1] (numeric) = 2.6287838101951409563021785700612
absolute error = 2.77641109622077e-17
relative error = 1.0561580170469287412508681458679e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.054749988243511593123843948854
y[1] (analytic) = 2.6293251431272260120776566661944
y[1] (numeric) = 2.6293251431272259843134979948427
absolute error = 2.77641586713517e-17
relative error = 1.0559423867346430578563058665652e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0557432404506989876340757382119
y[1] (analytic) = 2.6298664680659383971372309330898
y[1] (numeric) = 2.629866468065938369373024603755
absolute error = 2.77642063293348e-17
relative error = 1.0557268464567027073596276270495e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0567364926578863821443075275698
y[1] (analytic) = 2.6304077850141359838574145789465
y[1] (numeric) = 2.6304077850141359560931606427257
absolute error = 2.77642539362208e-17
relative error = 1.0555113961568355485773510391441e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0577297448650737766545393169277
y[1] (analytic) = 2.6309490939746750844906537496639
y[1] (numeric) = 2.6309490939746750567263522575901
absolute error = 2.77643014920738e-17
relative error = 1.0552960357788303459068930643962e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0587229970722611711647711062856
y[1] (analytic) = 2.6314903949504104800247662645345
y[1] (numeric) = 2.6314903949504104522604172675768
absolute error = 2.77643489969577e-17
relative error = 1.0550807652665177022942046024798e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0597162492794485656750028956435
y[1] (analytic) = 2.6320316879441954212772908920089
y[1] (numeric) = 2.6320316879441953935128944410729
absolute error = 2.77643964509360e-17
relative error = 1.0548655845637624137736692177938e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0607095014866359601852346850014
y[1] (analytic) = 2.6325729729588816299888591765078
y[1] (numeric) = 2.6325729729588816022244153224355
absolute error = 2.77644438540723e-17
relative error = 1.0546504936144824234009457790780e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0617027536938233546954664743593
y[1] (analytic) = 2.6331142499973192999155908637373
y[1] (numeric) = 2.633114249997319272151099657307
absolute error = 2.77644912064303e-17
relative error = 1.0544354923626487628910825049440e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0626960059010107492056982637172
y[1] (analytic) = 2.633655519062357097920513970653
y[1] (numeric) = 2.6336555190623570701559754625796
absolute error = 2.77645385080734e-17
relative error = 1.0542205807522703063187549604532e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0636892581081981437159300530751
y[1] (analytic) = 2.6341967801568421650640105449148
y[1] (numeric) = 2.6341967801568421372994247858497
absolute error = 2.77645857590651e-17
relative error = 1.0540057587274089124090638583113e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.064682510315385538226161842433
y[1] (analytic) = 2.6347380332836201176932891573638
y[1] (numeric) = 2.6347380332836200899286561978955
absolute error = 2.77646329594683e-17
relative error = 1.0537910262321527982876713047296e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0656757625225729327363936317909
y[1] (analytic) = 2.6352792784455350485308851697543
y[1] (numeric) = 2.6352792784455350207662050604078
absolute error = 2.77646801093465e-17
relative error = 1.0535763832106620446682096267624e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0666690147297603272466254211488
y[1] (analytic) = 2.6358205156454295277621898186658
y[1] (numeric) = 2.635820515645429499997462609903
absolute error = 2.77647272087628e-17
relative error = 1.0533618296071305795091110186395e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0676622669369477217568572105067
y[1] (analytic) = 2.636361744886144604122009155226
y[1] (numeric) = 2.6363617448861445763572348974459
absolute error = 2.77647742577801e-17
relative error = 1.0531473653657937257777898416312e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.643
Order of pole = 1.014
x[1] = 4.0686555191441351162670889998646
y[1] (analytic) = 2.6369029661705198059801538789738
y[1] (numeric) = 2.6369029661705197782153326225126
absolute error = 2.77648212564612e-17
relative error = 1.0529329904309319475965936106642e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0696487713513225107773207892225
y[1] (analytic) = 2.6374441795013931424260611028968
y[1] (numeric) = 2.6374441795013931146611928980278
absolute error = 2.77648682048690e-17
relative error = 1.0527187047468783833306182895731e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0706420235585099052875525785804
y[1] (analytic) = 2.6379853848816011043524490853816
y[1] (numeric) = 2.6379853848816010765875339823153
absolute error = 2.77649151030663e-17
relative error = 1.0525045082580112063213030873894e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0716352757656972997977843679383
y[1] (analytic) = 2.6385265823139786655380059635246
y[1] (numeric) = 2.6385265823139786377730440124089
absolute error = 2.77649619511157e-17
relative error = 1.0522904009087497850208194130036e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0726285279728846943080161572962
y[1] (analytic) = 2.639067771801359283729113520959
y[1] (numeric) = 2.6390677718013592559641047718795
absolute error = 2.77650087490795e-17
relative error = 1.0520763826435508478559822980465e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0736217801800720888182479466541
y[1] (analytic) = 2.6396089533465749017206070220664
y[1] (numeric) = 2.6396089533465748739555515250458
absolute error = 2.77650554970206e-17
relative error = 1.0518624534069425372141069212684e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.421
Order of pole = 0.8146
x[1] = 4.074615032387259483328479736012
y[1] (analytic) = 2.6401501269524559484355721431499
y[1] (numeric) = 2.6401501269524559206704699481487
absolute error = 2.77651021950012e-17
relative error = 1.0516486131434750929566939823543e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0756082845944468778387115253699
y[1] (analytic) = 2.6406912926218313400041800298671
y[1] (numeric) = 2.6406912926218313122390311867836
absolute error = 2.77651488430835e-17
relative error = 1.0514348617977473343223327965559e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.583
Order of pole = 0.8378
x[1] = 4.0766015368016342723489433147278
y[1] (analytic) = 2.6412324503575284808415615089323
y[1] (numeric) = 2.6412324503575284530763660676026
absolute error = 2.77651954413297e-17
relative error = 1.0512211993144066064994301675945e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0775947890088216668591751040857
y[1] (analytic) = 2.6417736001623732647247214808184
y[1] (numeric) = 2.6417736001623732369594794910166
absolute error = 2.77652419898018e-17
relative error = 1.0510076256381411565981873445577e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
memory used=515.0MB, alloc=4.4MB, time=64.00
x[1] = 4.0785880412160090613694068934436
y[1] (analytic) = 2.6423147420391900758684945189086
y[1] (numeric) = 2.6423147420391900481032060303464
absolute error = 2.77652884885622e-17
relative error = 1.0507941407137027954799415346131e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0795812934231964558796386828015
y[1] (analytic) = 2.6428558759908017900005426992683
y[1] (numeric) = 2.6428558759908017622352077615959
absolute error = 2.77653349376724e-17
relative error = 1.0505807444858576398243091751553e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0805745456303838503898704721594
y[1] (analytic) = 2.6433970020200297754353966839375
y[1] (numeric) = 2.643397002020029747670015346743
absolute error = 2.77653813371945e-17
relative error = 1.0503674368994428390118341230408e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0815677978375712449001022615173
y[1] (analytic) = 2.6439381201296938941475410793602
y[1] (numeric) = 2.64393812012969386638211339217
absolute error = 2.77654276871902e-17
relative error = 1.0501542178993286764310394212873e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 20.09
Order of pole = 6.978
x[1] = 4.0825610500447586394103340508752
y[1] (analytic) = 2.6444792303226125028435450903034
y[1] (numeric) = 2.6444792303226124750780711025824
absolute error = 2.77654739877210e-17
relative error = 1.0499410874304260948745650905327e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0835543022519460339205658402331
y[1] (analytic) = 2.6450203326016024540332394883436
y[1] (numeric) = 2.6450203326016024262677192494948
absolute error = 2.77655202388488e-17
relative error = 1.0497280454377093354597162833902e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.966
Order of pole = 1.278
x[1] = 4.084547554459133428430797629591
y[1] (analytic) = 2.645561426969479097099940912729
y[1] (numeric) = 2.6455614269694790693343744720942
absolute error = 2.77655664406348e-17
relative error = 1.0495150918661742901995350638624e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0855408066663208229410294189489
y[1] (analytic) = 2.6461025134290562793697245201629
y[1] (numeric) = 2.6461025134290562516041119270224
absolute error = 2.77656125931405e-17
relative error = 1.0493022266608762676816659942649e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.937
Order of pole = 0.5601
x[1] = 4.0865340588735082174512612083068
y[1] (analytic) = 2.6466435919831463471797459987825
y[1] (numeric) = 2.6466435919831463194140873023552
absolute error = 2.77656586964273e-17
relative error = 1.0490894497669148152396043819927e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0875273110806956119614929976647
y[1] (analytic) = 2.6471846626345601469456139603488
y[1] (numeric) = 2.6471846626345601191799092097925
absolute error = 2.77657047505563e-17
relative error = 1.0488767611294261149394162406938e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 9.961
Order of pole = 2.089
x[1] = 4.0885205632878830064717247870226
y[1] (analytic) = 2.6477257253861070262278137233997
y[1] (numeric) = 2.6477257253861069984620629678112
absolute error = 2.77657507555885e-17
relative error = 1.0486641606935904961994927133954e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0895138154950704009819565763805
y[1] (analytic) = 2.6482667802405948347971834988589
y[1] (numeric) = 2.6482667802405948070313867872736
absolute error = 2.77657967115853e-17
relative error = 1.0484516484046512673693879927157e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.166
Order of pole = 0.6604
x[1] = 4.0905070677022577954921883657384
y[1] (analytic) = 2.648807827200829925699443988333
y[1] (numeric) = 2.6488078272008298979336013697255
absolute error = 2.77658426186075e-17
relative error = 1.0482392242078768949843824495253e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 8.994
Order of pole = 1.794
x[1] = 4.0915003199094451900024201550963
y[1] (analytic) = 2.6493488662696171563187824040777
y[1] (numeric) = 2.6493488662696171285528939273617
absolute error = 2.77658884767160e-17
relative error = 1.0480268880485873960770846045090e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0924935721166325845126519444542
y[1] (analytic) = 2.649889897449759889440491918354
y[1] (numeric) = 2.6498898974497598616745576323825
absolute error = 2.77659342859715e-17
relative error = 1.0478146398721429607446728293204e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0934868243238199790228837338121
y[1] (analytic) = 2.6504309207440599943126675486474
y[1] (numeric) = 2.6504309207440599665466875022127
absolute error = 2.77659800464347e-17
relative error = 1.0476024796239514535127239837596e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.09448007653100737353311552317
y[1] (analytic) = 2.6509719361553178477069594839682
y[1] (numeric) = 2.6509719361553178199409337258017
absolute error = 2.77660257581665e-17
relative error = 1.0473904072494759055182603142632e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0954733287381947680433473125279
y[1] (analytic) = 2.6515129436863323349783848562034
y[1] (numeric) = 2.6515129436863323072123134349762
absolute error = 2.77660714212272e-17
relative error = 1.0471784226942042832084733653611e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.156
Order of pole = 0.7758
x[1] = 4.0964665809453821625535791018858
y[1] (analytic) = 2.6520539433399008511241989592456
y[1] (numeric) = 2.6520539433399008233580819235685
absolute error = 2.77661170356771e-17
relative error = 1.0469665259036720833196099744539e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0974598331525695570638108912437
y[1] (analytic) = 2.6525949351188193018418269173751
y[1] (numeric) = 2.6525949351188192740756643157983
absolute error = 2.77661626015768e-17
relative error = 1.0467547168234735905304726185304e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 8.791
Order of pole = 1.733
x[1] = 4.0984530853597569515740426806016
y[1] (analytic) = 2.6531359190258821045858568031279
y[1] (numeric) = 2.6531359190258820768196486841413
absolute error = 2.77662081189866e-17
relative error = 1.0465429953992391992260691397711e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.0994463375669443460842744699595
y[1] (analytic) = 2.6536768950638821896240952036433
y[1] (numeric) = 2.6536768950638821618578416156767
absolute error = 2.77662535879666e-17
relative error = 1.0463313615766391414995997152835e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 14.59
Order of pole = 3.897
x[1] = 4.1004395897741317405945062593174
y[1] (analytic) = 2.6542178632356110010926862332419
y[1] (numeric) = 2.654217863235610973326387224665
absolute error = 2.77662990085769e-17
relative error = 1.0461198153013909781881168997832e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.498
Order of pole = 0.5995
x[1] = 4.1014328419813191351047380486753
y[1] (analytic) = 2.654758823543858498050294988746
y[1] (numeric) = 2.6547588235438584702839506078686
absolute error = 2.77663443808774e-17
relative error = 1.0459083565192520134719549033962e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1024260941885065296149698380332
y[1] (analytic) = 2.6552997759914131555313564428197
y[1] (numeric) = 2.6552997759914131277649667378913
absolute error = 2.77663897049284e-17
relative error = 1.0456969851760418471759913780616e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 9.881
Order of pole = 2.055
x[1] = 4.1034193463956939241252016273911
y[1] (analytic) = 2.6558407205810619655983907693676
y[1] (numeric) = 2.6558407205810619378319557885782
absolute error = 2.77664349807894e-17
relative error = 1.0454857012175971243657605826690e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.104412598602881318635433416749
y[1] (analytic) = 2.6563816573155904383933860938028
y[1] (numeric) = 2.6563816573155904106269058852824
absolute error = 2.77664802085204e-17
relative error = 1.0452745045898204532192600886172e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1054058508100687131456652061069
y[1] (analytic) = 2.6569225861977826031882496597572
y[1] (numeric) = 2.6569225861977825754217242715763
absolute error = 2.77665253881809e-17
relative error = 1.0450633952386426968305167671361e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
memory used=518.8MB, alloc=4.4MB, time=64.46
x[1] = 4.1063991030172561076558969954648
y[1] (analytic) = 2.6574635072304210094343284025826
y[1] (numeric) = 2.657463507230420981667757882752
absolute error = 2.77665705198306e-17
relative error = 1.0448523731100492818463109432606e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1073923552244435021661287848227
y[1] (analytic) = 2.6580044204162867278109999187592
y[1] (numeric) = 2.6580044204162867000443843152302
absolute error = 2.77666156035290e-17
relative error = 1.0446414381500650905526832597008e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1083856074316308966763605741806
y[1] (analytic) = 2.6585453257581593512733348191046
y[1] (numeric) = 2.6585453257581593235066741797692
absolute error = 2.77666606393354e-17
relative error = 1.0444305903047544172317322640903e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1093788596388182911865923635385
y[1] (analytic) = 2.6590862232588169960988314524504
y[1] (numeric) = 2.6590862232588169683321258251411
absolute error = 2.77667056273093e-17
relative error = 1.0442198295202359673376934506774e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 11.52
Order of pole = 2.607
x[1] = 4.1103721118460056856968241528964
y[1] (analytic) = 2.6596271129210363029332239852297
y[1] (numeric) = 2.6596271129210362751664734177197
absolute error = 2.77667505675100e-17
relative error = 1.0440091557426677589705427994316e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1113653640531930802070559422543
y[1] (analytic) = 2.6601679947475924378353648212001
y[1] (numeric) = 2.6601679947475924100685693612036
absolute error = 2.77667954599965e-17
relative error = 1.0437985689182433202575195773731e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1123586162603804747172877316122
y[1] (analytic) = 2.660708868741259093321182344306
y[1] (numeric) = 2.6607088687412590655543420394781
absolute error = 2.77668403048279e-17
relative error = 1.0435880689932066833616807895875e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1133518684675678692275195209701
y[1] (analytic) = 2.661249734904808489406714966466
y[1] (numeric) = 2.6612497349048084616398298644027
absolute error = 2.77668851020633e-17
relative error = 1.0433776559138485720453138995096e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 10.62
Order of pole = 2.288
x[1] = 4.114345120674755263737751310328
y[1] (analytic) = 2.6617905932410113746502224608553
y[1] (numeric) = 2.6617905932410113468832926090936
absolute error = 2.77669298517617e-17
relative error = 1.0431673296265025938862482390925e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1153383728819426582479830996859
y[1] (analytic) = 2.6623314437526370271933755600401
y[1] (numeric) = 2.6623314437526369994264010060582
absolute error = 2.77669745539819e-17
relative error = 1.0429570900775414371402086925996e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1163316250891300527582148890438
y[1] (analytic) = 2.6628722864424532558015247971072
y[1] (numeric) = 2.6628722864424532280345055883248
absolute error = 2.77670192087824e-17
relative error = 1.0427469372133730722423669879949e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1173248772963174472684466784017
y[1] (analytic) = 2.6634131213132264009030495667222
y[1] (numeric) = 2.6634131213132263731359857505
absolute error = 2.77670638162222e-17
relative error = 1.0425368709804707491692424561355e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1183181295035048417786784677596
y[1] (analytic) = 2.6639539483677213356277883818382
y[1] (numeric) = 2.6639539483677213078606800054783
absolute error = 2.77671083763599e-17
relative error = 1.0423268913253391433480912630359e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1193113817106922362889102571175
y[1] (analytic) = 2.6644947676087014668445513005726
y[1] (numeric) = 2.6644947676087014390773984113188
absolute error = 2.77671528892538e-17
relative error = 1.0421169981945180733677741275908e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1203046339178796307991420464754
y[1] (analytic) = 2.6650355790389287361977154965642
y[1] (numeric) = 2.6650355790389287084305181416018
absolute error = 2.77671973549624e-17
relative error = 1.0419071915346012233475877645545e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1212978861250670253093738358333
y[1] (analytic) = 2.665576382661163621142904944914
y[1] (numeric) = 2.6655763826611635933756631713699
absolute error = 2.77672417735441e-17
relative error = 1.0416974712922248302487493162125e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 11.59
Order of pole = 2.627
x[1] = 4.1222911383322544198196056251912
y[1] (analytic) = 2.6661171784781651359817551946164
y[1] (numeric) = 2.6661171784781651082144690495593
absolute error = 2.77672861450571e-17
relative error = 1.0414878374140638865046763508381e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1232843905394418143298374145491
y[1] (analytic) = 2.6666579664926908328957641971845
y[1] (numeric) = 2.6666579664926908051284337276249
absolute error = 2.77673304695596e-17
relative error = 1.0412782898468395973130524962417e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.124277642746629208840069203907
y[1] (analytic) = 2.6671987467074968029792301599739
y[1] (numeric) = 2.6671987467074967752118554128643
absolute error = 2.77673747471096e-17
relative error = 1.0410688285373118318527132157609e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.46
Order of pole = 0.6892
x[1] = 4.1252708949538166033503009932649
y[1] (analytic) = 2.6677395191253376772712773915137
y[1] (numeric) = 2.6677395191253376495038584137484
absolute error = 2.77674189777653e-17
relative error = 1.0408594534322940746378563305470e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1262641471610039978605327826228
y[1] (analytic) = 2.668280283748966627786971104956
y[1] (numeric) = 2.6682802837489666000195079433714
absolute error = 2.77674631615846e-17
relative error = 1.0406501644786346291059709481280e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1272573993681913923707645719807
y[1] (analytic) = 2.6688210405811353685475221445634
y[1] (numeric) = 2.6688210405811353407800148459381
absolute error = 2.77675072986253e-17
relative error = 1.0404409616232240728719484819655e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1282506515753787868809963613386
y[1] (analytic) = 2.6693617896245941566095825989609
y[1] (numeric) = 2.6693617896245941288420312100159
absolute error = 2.77675513889450e-17
relative error = 1.0402318448129914652833892747474e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1292439037825661813912281506965
y[1] (analytic) = 2.6699025308820917930936332636888
y[1] (numeric) = 2.6699025308820917653260378310871
absolute error = 2.77675954326017e-17
relative error = 1.0400228139949267777745162911636e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1302371559897535759014599400544
y[1] (analytic) = 2.6704432643563756242114639144017
y[1] (numeric) = 2.6704432643563755964438244847488
absolute error = 2.77676394296529e-17
relative error = 1.0398138691160471265230487465093e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1312304081969409704116917294123
y[1] (analytic) = 2.6709839900501915422927473508771
y[1] (numeric) = 2.670983990050191514525063970721
absolute error = 2.77676833801561e-17
relative error = 1.0396050101234154612685037303500e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1322236604041283649219235187702
y[1] (analytic) = 2.6715247079662839868107081708062
y[1] (numeric) = 2.6715247079662839590429808866376
absolute error = 2.77677272841686e-17
relative error = 1.0393962369641330291729358786441e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1332169126113157594321553081281
y[1] (analytic) = 2.6720654181073959454068872311594
y[1] (numeric) = 2.6720654181073959176391160894115
absolute error = 2.77677711417479e-17
relative error = 1.0391875495853543023762954787922e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.002
Order of pole = 0.5158
x[1] = 4.134210164818503153942387097486
y[1] (analytic) = 2.6726061204762689549150027537348
y[1] (numeric) = 2.6726061204762689271471878007834
absolute error = 2.77678149529514e-17
relative error = 1.0389789479342756957724295921295e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=522.6MB, alloc=4.4MB, time=64.93
NO POLE
x[1] = 4.1352034170256905484526188868439
y[1] (analytic) = 2.6731468150756431023839090303182
y[1] (numeric) = 2.6731468150756430746160503124821
absolute error = 2.77678587178361e-17
relative error = 1.0387704319581242984822792812841e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1361966692328779429628506762018
y[1] (analytic) = 2.6736875019082570260996536817068
y[1] (numeric) = 2.6736875019082569983317512452476
absolute error = 2.77679024364592e-17
relative error = 1.0385620016041802803800755256003e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1371899214400653374730824655597
y[1] (analytic) = 2.6742281809768479166066344236666
y[1] (numeric) = 2.674228180976847888838688314789
absolute error = 2.77679461088776e-17
relative error = 1.0383536568197581380788302825478e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1381831736472527319833142549176
y[1] (analytic) = 2.6747688522841515177278562917241
y[1] (numeric) = 2.6747688522841514899598665565755
absolute error = 2.77679897351486e-17
relative error = 1.0381453975522328273558586721709e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1391764258544401264935460442755
y[1] (analytic) = 2.6753095158329021275842902755127
y[1] (numeric) = 2.6753095158329020998162569601838
absolute error = 2.77680333153289e-17
relative error = 1.0379372237490023198457934042982e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1401696780616275210037778336334
y[1] (analytic) = 2.6758501716258325996133343122297
y[1] (numeric) = 2.6758501716258325718452574627545
absolute error = 2.77680768494752e-17
relative error = 1.0377291353575099992116531092240e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1411629302688149155140096229913
y[1] (analytic) = 2.6763908196656743435863775875822
y[1] (numeric) = 2.6763908196656743158182572499379
absolute error = 2.77681203376443e-17
relative error = 1.0375211323252483482990139134817e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.892
Order of pole = 1.246
x[1] = 4.1421561824760023100242414123492
y[1] (analytic) = 2.6769314599551573266254690914355
y[1] (numeric) = 2.6769314599551572988573053115427
absolute error = 2.77681637798928e-17
relative error = 1.0373132145997476893447922541303e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 131.4
Order of pole = 271.7
x[1] = 4.1431494346831897045344732017071
y[1] (analytic) = 2.6774720924970100742190913742098
y[1] (numeric) = 2.6774720924970100464508841979323
absolute error = 2.77682071762775e-17
relative error = 1.0371053821285910818954858505022e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 10.51
Order of pole = 2.235
x[1] = 4.144142686890377099044704991065
y[1] (analytic) = 2.6780127172939596712370404489039
y[1] (numeric) = 2.6780127172939596434687899220495
absolute error = 2.77682505268544e-17
relative error = 1.0368976348593769251134862131404e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 8.366
Order of pole = 1.598
x[1] = 4.1451359390975644935549367804229
y[1] (analytic) = 2.678553334348731762944412782465
y[1] (numeric) = 2.6785533343487317351761189507847
absolute error = 2.77682938316803e-17
relative error = 1.0366899727397786726988732621110e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.514
Order of pole = 0.5992
x[1] = 4.1461291913047518880651685697808
y[1] (analytic) = 2.6790939436640505560147003190539
y[1] (numeric) = 2.6790939436640505282463632282424
absolute error = 2.77683370908115e-17
relative error = 1.0364823957174962299649183998969e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1471224435119392825754003591387
y[1] (analytic) = 2.6796345452426388195419944766031
y[1] (numeric) = 2.6796345452426387917736141722989
absolute error = 2.77683803043042e-17
relative error = 1.0362749037402708512385843733947e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1481156957191266770856321484966
y[1] (analytic) = 2.6801751390872178860523000569
y[1] (numeric) = 2.6801751390872178582838765846856
absolute error = 2.77684234722144e-17
relative error = 1.0360674967558813637385410358272e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1491089479263140715958639378545
y[1] (analytic) = 2.680715725200507652513960008273
y[1] (numeric) = 2.6807157252005076247454934136748
absolute error = 2.77684665945982e-17
relative error = 1.0358601747121553174146301012507e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 13.13
Order of pole = 3.202
x[1] = 4.1501022001335014661060957272124
y[1] (analytic) = 2.6812563035852265813471919788016
y[1] (numeric) = 2.6812563035852265535786823072896
absolute error = 2.77685096715120e-17
relative error = 1.0356529375569763917087764588988e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1510954523406888606163275165703
y[1] (analytic) = 2.681796874244091701432737596817
y[1] (numeric) = 2.6817968742440916736641848938057
absolute error = 2.77685527030113e-17
relative error = 1.0354457852382395895580572921501e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1520887045478762551265593059282
y[1] (analytic) = 2.6823374371798186091196254143103
y[1] (numeric) = 2.6823374371798185813510297251584
absolute error = 2.77685956891519e-17
relative error = 1.0352387177038959597817747991697e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1530819567550636496367910952861
y[1] (analytic) = 2.6828779923951214692320484477106
y[1] (numeric) = 2.6828779923951214414634098177207
absolute error = 2.77686386299899e-17
relative error = 1.0350317349019525373197606203595e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.154075208962251044147022884644
y[1] (analytic) = 2.6834185398927130160753572493472
y[1] (numeric) = 2.6834185398927129883066757237663
absolute error = 2.77686815255809e-17
relative error = 1.0348248367804424708299452941936e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1550684611694384386572546740019
y[1] (analytic) = 2.6839590796753045544411694417652
y[1] (numeric) = 2.6839590796753045266724450657847
absolute error = 2.77687243759805e-17
relative error = 1.0346180232874436222978902634268e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1560617133766258331674864633598
y[1] (analytic) = 2.684499611745605960611596645914
y[1] (numeric) = 2.68449961174560593284282946467
absolute error = 2.77687671812440e-17
relative error = 1.0344112943710673434673763709539e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1570549655838132276777182527177
y[1] (analytic) = 2.6850401361063256833625897330877
y[1] (numeric) = 2.6850401361063256555937797916606
absolute error = 2.77688099414271e-17
relative error = 1.0342046499794845092230544540265e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1580482177910006221879500420756
y[1] (analytic) = 2.6855806527601707449664033293483
y[1] (numeric) = 2.6855806527601707171975506727631
absolute error = 2.77688526565852e-17
relative error = 1.0339980900608993892858027296969e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.204
Order of pole = 0.5759
x[1] = 4.1590414699981880166981818314335
y[1] (analytic) = 2.6861211617098467421931805000277
y[1] (numeric) = 2.6861211617098467144242851732541
absolute error = 2.77688953267736e-17
relative error = 1.0337916145635570570211634955050e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 13.26
Order of pole = 3.247
x[1] = 4.1600347222053754112084136207914
y[1] (analytic) = 2.6866616629580578473116585407605
y[1] (numeric) = 2.6866616629580578195427205887132
absolute error = 2.77689379520473e-17
relative error = 1.0335852234357359009435328211394e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 10.03
Order of pole = 2.071
x[1] = 4.1610279744125628057186454101493
y[1] (analytic) = 2.6872021565075068090889968003642
y[1] (numeric) = 2.6872021565075067813200162679026
absolute error = 2.77689805324616e-17
relative error = 1.0333789166257699160030783503203e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.466
Order of pole = 0.5949
x[1] = 4.1620212266197502002288771995072
y[1] (analytic) = 2.687742642360894953789727459744
y[1] (numeric) = 2.6877426423608949260207043916723
absolute error = 2.77690230680717e-17
relative error = 1.0331726940820337620377182675702e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=526.4MB, alloc=4.4MB, time=65.41
NO POLE
x[1] = 4.1630144788269375947391089888651
y[1] (analytic) = 2.6882831205209221861738301898682
y[1] (numeric) = 2.6882831205209221584047646309357
absolute error = 2.77690655589325e-17
relative error = 1.0329665557529352799465293319030e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.164007731034124989249340778223
y[1] (analytic) = 2.688823590990286990493931610725
y[1] (numeric) = 2.6888235909902869627248236056263
absolute error = 2.77691080050987e-17
relative error = 1.0327605015869191741889197459686e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 8.766
Order of pole = 1.698
x[1] = 4.1650009832413123837595725675809
y[1] (analytic) = 2.689364053771686431491630472041
y[1] (numeric) = 2.6893640537716864037224800654156
absolute error = 2.77691504066254e-17
relative error = 1.0325545315324892826033400964837e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1669874876556871727800361462967
y[1] (analytic) = 2.6904449562813703909029146563475
y[1] (numeric) = 2.6904449562813703631336795803684
absolute error = 2.77692350759791e-17
relative error = 1.0321428435525649775241002573724e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1679807398628745672902679356546
y[1] (analytic) = 2.6909853960150419501992632436897
y[1] (numeric) = 2.6909853960150419224299858997744
absolute error = 2.77692773439153e-17
relative error = 1.0319371255242619135897730414859e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1689739920700619618004997250125
y[1] (analytic) = 2.6915258280715222299252809125629
y[1] (numeric) = 2.6915258280715222021559613451325
absolute error = 2.77693195674304e-17
relative error = 1.0317314914019276738111978994496e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1699672442772493563107315143704
y[1] (analytic) = 2.6920662524535012121817693461131
y[1] (numeric) = 2.6920662524535011844124075995339
absolute error = 2.77693617465792e-17
relative error = 1.0315259411342755227625302885252e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.947
Order of pole = 0.6351
x[1] = 4.1709604964844367508209633037283
y[1] (analytic) = 2.6926066691636674655181450199911
y[1] (numeric) = 2.6926066691636674377487411385754
absolute error = 2.77694038814157e-17
relative error = 1.0313204746700329857103928244773e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 11.33
Order of pole = 2.494
x[1] = 4.1719537486916241453311950930862
y[1] (analytic) = 2.6931470782047081459226701225078
y[1] (numeric) = 2.6931470782047081181532241505135
absolute error = 2.77694459719943e-17
relative error = 1.0311150919579863886261903963615e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 17.02
Order of pole = 5.004
x[1] = 4.1729470008988115398414268824441
y[1] (analytic) = 2.6936874795793089978118165222395
y[1] (numeric) = 2.6936874795793089700423285038702
absolute error = 2.77694880183693e-17
relative error = 1.0309097929469622340749307210661e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.173940253105998934351658671802
y[1] (analytic) = 2.694227873290154355018763693751
y[1] (numeric) = 2.6942278732901543272492336731562
absolute error = 2.77695300205948e-17
relative error = 1.0307045775858234460763067444586e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.613
Order of pole = 0.7028
x[1] = 4.1749335053131863288618904611599
y[1] (analytic) = 2.6947682593399271417810315109875
y[1] (numeric) = 2.6947682593399271140114595322624
absolute error = 2.77695719787251e-17
relative error = 1.0304994458234841739592740597306e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1759267575203737233721222505178
y[1] (analytic) = 2.6953086377313088737272488167705
y[1] (numeric) = 2.6953086377313088459576349239568
absolute error = 2.77696138928137e-17
relative error = 1.0302943976088726363092053846870e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 15.63
Order of pole = 4.29
x[1] = 4.1769200097275611178823540398757
y[1] (analytic) = 2.695849008466979658863058675724
y[1] (numeric) = 2.6958490084669796310934029128091
absolute error = 2.77696557629149e-17
relative error = 1.0300894328909904541768474685282e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1779132619347485123925858292336
y[1] (analytic) = 2.69638937154961819855616121684
y[1] (numeric) = 2.6963893715496181707864636277574
absolute error = 2.77696975890826e-17
relative error = 1.0298845516188680703779624500404e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.414
Order of pole = 0.8021
x[1] = 4.1789065141419359069028176185915
y[1] (analytic) = 2.6969297269819017885204949707892
y[1] (numeric) = 2.6969297269819017607507555994189
absolute error = 2.77697393713703e-17
relative error = 1.0296797537415647174329876405125e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1798997663491233014130494079494
y[1] (analytic) = 2.6974700747665063197995576059714
y[1] (numeric) = 2.6974700747665062920297764961396
absolute error = 2.77697811098318e-17
relative error = 1.0294750392081943357904409831388e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1808930185563106959232811973073
y[1] (analytic) = 2.698010414906106279748866966193
y[1] (numeric) = 2.6980104149061062519790441616722
absolute error = 2.77698228045208e-17
relative error = 1.0292704079679106901255266560876e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1818862707634980904335129866652
y[1] (analytic) = 2.6985507474033747530175633117562
y[1] (numeric) = 2.6985507474033747252476988562654
absolute error = 2.77698644554908e-17
relative error = 1.0290658599699036206028530672984e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.56
Order of pole = 1.167
x[1] = 4.1828795229706854849437447760231
y[1] (analytic) = 2.6990910722609834225291536646398
y[1] (numeric) = 2.6990910722609833947592476018444
absolute error = 2.77699060627954e-17
relative error = 1.0288613951634101184497316585694e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.647
Order of pole = 0.6085
x[1] = 4.183872775177872879453976565381
y[1] (analytic) = 2.6996313894816025704613991573494
y[1] (numeric) = 2.6996313894816025426914515308618
absolute error = 2.77699476264876e-17
relative error = 1.0286570134976883461390095446883e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1848660273850602739642083547389
y[1] (analytic) = 2.7001716990679010792253462839172
y[1] (numeric) = 2.7001716990679010514553571372961
absolute error = 2.77699891466211e-17
relative error = 1.0284527149220657581318329107566e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.287
Order of pole = 1.112
x[1] = 4.1858592795922476684744401440968
y[1] (analytic) = 2.7007120010225464324435029504272
y[1] (numeric) = 2.700712001022546404673472327178
absolute error = 2.77700306232492e-17
relative error = 1.0282484993858982984070734904718e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1868525317994350629846719334547
y[1] (analytic) = 2.7012522953482047159271602213499
y[1] (numeric) = 2.7012522953482046881570881649251
absolute error = 2.77700720564248e-17
relative error = 1.0280443668385703688164597416856e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.7
Order of pole = 0.6127
x[1] = 4.1878457840066224574949037228126
y[1] (analytic) = 2.7017925820475406186528606568741
y[1] (numeric) = 2.7017925820475405908827472106731
absolute error = 2.77701134462010e-17
relative error = 1.0278403172295170049595451176920e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1888390362138098520051355121705
y[1] (analytic) = 2.7023328611232174337380141353252
y[1] (numeric) = 2.7023328611232174059678593426942
absolute error = 2.77701547926310e-17
relative error = 1.0276363505082201219157948575638e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1898322884209972465153673015284
y[1] (analytic) = 2.702873132577897059415662053671
y[1] (numeric) = 2.7028731325778970316454659579032
absolute error = 2.77701960957678e-17
relative error = 1.0274324666241973649504226880133e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=530.2MB, alloc=4.4MB, time=65.89
NO POLE
x[1] = 4.1908255406281846410255990908863
y[1] (analytic) = 2.703413396414240000008390798023
y[1] (numeric) = 2.7034133964142399722381534423588
absolute error = 2.77702373556642e-17
relative error = 1.0272286655270020706753483121335e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1918187928353720355358308802442
y[1] (analytic) = 2.7039536526349053669013953749527
y[1] (numeric) = 2.7039536526349053391311168025798
absolute error = 2.77702785723729e-17
relative error = 1.0270249471662269265488654511241e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1928120450425594300460626696021
y[1] (analytic) = 2.7044939012425508795146940933532
y[1] (numeric) = 2.7044939012425508517443743474066
absolute error = 2.77703197459466e-17
relative error = 1.0268213114915076259930908087214e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.19380529724974682455629445896
y[1] (analytic) = 2.7050341422398328662744951854899
y[1] (numeric) = 2.7050341422398328385041343090516
absolute error = 2.77703608764383e-17
relative error = 1.0266177584525339127575534441101e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1947985494569342190665262483179
y[1] (analytic) = 2.7055743756294062655837162547988
y[1] (numeric) = 2.7055743756294062378133142908985
absolute error = 2.77704019639003e-17
relative error = 1.0264142879990125631082577335924e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1957918016641216135767580376758
y[1] (analytic) = 2.706114601413924626791657436911
y[1] (numeric) = 2.706114601413924599021214428526
absolute error = 2.77704430083850e-17
relative error = 1.0262109000806969283909372259466e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1967850538713090080869898270337
y[1] (analytic) = 2.7066548195960401111628291592938
y[1] (numeric) = 2.7066548195960400833923451493487
absolute error = 2.77704840099451e-17
relative error = 1.0260075946473942746344930792672e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1977783060784964025972216163916
y[1] (analytic) = 2.7071950301784034928449353838221
y[1] (numeric) = 2.7071950301784034650744104151893
absolute error = 2.77705249686328e-17
relative error = 1.0258043716489361747691393988155e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.015
Order of pole = 1.258
x[1] = 4.1987715582856837971074534057495
y[1] (analytic) = 2.707735233163664159836013215516
y[1] (numeric) = 2.7077352331636641320654473310155
absolute error = 2.77705658845005e-17
relative error = 1.0256012310352043331394072089576e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.1997648104928711916176851951074
y[1] (analytic) = 2.7082754285544701149507297595991
y[1] (numeric) = 2.7082754285544700871801230019988
absolute error = 2.77706067576003e-17
relative error = 1.0253981727561120704750012921541e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 13.78
Order of pole = 3.424
x[1] = 4.2007580627000585861279169844653
y[1] (analytic) = 2.7088156163534679767858371079596
y[1] (numeric) = 2.7088156163534679490151895199752
absolute error = 2.77706475879844e-17
relative error = 1.0251951967616190558723183059650e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2017513149072459806381487738232
y[1] (analytic) = 2.7093557965633029806847863350193
y[1] (numeric) = 2.7093557965633029529140979593143
absolute error = 2.77706883757050e-17
relative error = 1.0249923030017275665850433746425e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2027445671144333751483805631811
y[1] (analytic) = 2.7098959691866189797015013819441
y[1] (numeric) = 2.7098959691866189519307722611301
absolute error = 2.77707291208140e-17
relative error = 1.0247894914264713719352270140815e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.203737819321620769658612352539
y[1] (analytic) = 2.7104361342260584455633137070577
y[1] (numeric) = 2.7104361342260584177925438836945
absolute error = 2.77707698233632e-17
relative error = 1.0245867619859230777362095741824e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2047310715288081641688441418969
y[1] (analytic) = 2.7109762916842624696330585792504
y[1] (numeric) = 2.7109762916842624418622480958458
absolute error = 2.77708104834046e-17
relative error = 1.0243841146302051506470595133018e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2057243237359955586790759312548
y[1] (analytic) = 2.711516441563870763870333890105
y[1] (numeric) = 2.711516441563870736099482789115
absolute error = 2.77708511009900e-17
relative error = 1.0241815493094751135418117247600e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2067175759431829531893077206127
y[1] (analytic) = 2.7120565838675216617919223593969
y[1] (numeric) = 2.7120565838675216340210306832259
absolute error = 2.77708916761710e-17
relative error = 1.0239790659739255075291914155166e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2077108281503703476995395099706
y[1] (analytic) = 2.7125967185978521194313780075593
y[1] (numeric) = 2.71259671859785209166044579856
absolute error = 2.77709322089993e-17
relative error = 1.0237766645737949135350128891965e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2087040803575577422097712993285
y[1] (analytic) = 2.7131368457574977162977777676382
y[1] (numeric) = 2.7131368457574976885268050681118
absolute error = 2.77709726995264e-17
relative error = 1.0235743450593568460998669682534e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.609
Order of pole = 0.9827
x[1] = 4.2096973325647451367200030886864
y[1] (analytic) = 2.7136769653490926563336391082037
y[1] (numeric) = 2.7136769653490926285626259603997
absolute error = 2.77710131478040e-17
relative error = 1.0233721073809344557032179509360e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.556
Order of pole = 0.9734
x[1] = 4.2106905847719325312302348780443
y[1] (analytic) = 2.7142170773752697688720045376171
y[1] (numeric) = 2.7142170773752697411009509837337
absolute error = 2.77710535538834e-17
relative error = 1.0231699514888783705003520316700e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2116838369791199257404666674022
y[1] (analytic) = 2.7147571818386605095926938590007
y[1] (numeric) = 2.7147571818386604818215999411849
absolute error = 2.77710939178158e-17
relative error = 1.0229678773335777166504768775901e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2126770891863073202506984567601
y[1] (analytic) = 2.7152972787418949614777250441926
y[1] (numeric) = 2.71529727874189493370659080454
absolute error = 2.77711342396526e-17
relative error = 1.0227658848654711254960422538152e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.213670341393494714760930246118
y[1] (analytic) = 2.7158373680876018357659045939157
y[1] (numeric) = 2.7158373680876018079947300744705
absolute error = 2.77711745194452e-17
relative error = 1.0225639740350393170841928544523e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2146635936006821092711620354759
y[1] (analytic) = 2.716377449878408472906588250334
y[1] (numeric) = 2.7163774498784084451353734930895
absolute error = 2.77712147572445e-17
relative error = 1.0223621447927866484195157281636e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2156568458078695037813938248338
y[1] (analytic) = 2.7169175241169408435126129271164
y[1] (numeric) = 2.7169175241169408157413579740148
absolute error = 2.77712549531016e-17
relative error = 1.0221603970892668514287935944748e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2166500980150568982916256141917
y[1] (analytic) = 2.7174575908058235493124007210735
y[1] (numeric) = 2.717457590805823521541105614006
absolute error = 2.77712951070675e-17
relative error = 1.0219587308750719411357779490980e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2176433502222442928018574035496
y[1] (analytic) = 2.7179976499476798241012358683857
y[1] (numeric) = 2.7179976499476797963299006491925
absolute error = 2.77713352191932e-17
relative error = 1.0217571461008358537800115366737e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=534.0MB, alloc=4.4MB, time=66.36
NO POLE
x[1] = 4.2186366024294316873120891929075
y[1] (analytic) = 2.7185377015451315346917155073872
y[1] (numeric) = 2.7185377015451315069203402178576
absolute error = 2.77713752895296e-17
relative error = 1.0215556427172307237068455897891e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2196298546366190818223209822654
y[1] (analytic) = 2.7190777456007991818633751088273
y[1] (numeric) = 2.7190777456007991540919597907
absolute error = 2.77714153181273e-17
relative error = 1.0213542206749594869806781716671e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2206231068438064763325527716233
y[1] (analytic) = 2.7196177821173019013114894334804
y[1] (numeric) = 2.7196177821173018735400341284433
absolute error = 2.77714553050371e-17
relative error = 1.0211528799247742327252958494742e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2216163590509938708427845609812
y[1] (analytic) = 2.7201578110972574645950498759325
y[1] (numeric) = 2.7201578110972574368235546256228
absolute error = 2.77714952503097e-17
relative error = 1.0209516204174651225498289980683e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2226096112581812653530163503391
y[1] (analytic) = 2.7206978325432822800839190523279
y[1] (numeric) = 2.7206978325432822523123838983323
absolute error = 2.77715351539956e-17
relative error = 1.0207504421038566742303150184839e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.223602863465368659863248139697
y[1] (analytic) = 2.7212378464579913939051634888192
y[1] (numeric) = 2.7212378464579913661335884726739
absolute error = 2.77715750161453e-17
relative error = 1.0205493449348150742146861000219e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.128
Order of pole = 1.276
x[1] = 4.2245961156725560543734799290549
y[1] (analytic) = 2.7217778528439984908885652664212
y[1] (numeric) = 2.721777852843998463116950429612
absolute error = 2.77716148368092e-17
relative error = 1.0203483288612444592191648755547e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2255893678797434488837117184128
y[1] (analytic) = 2.7223178517039158955113134769312
y[1] (numeric) = 2.7223178517039158677396588608933
absolute error = 2.77716546160379e-17
relative error = 1.0201473938340978956155470573545e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2265826200869308433939435077707
y[1] (analytic) = 2.7228578430403545728418763435388
y[1] (numeric) = 2.7228578430403545450701819896574
absolute error = 2.77716943538814e-17
relative error = 1.0199465398043479470274518152004e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.723
Order of pole = 0.9994
x[1] = 4.2275758722941182379041752971286
y[1] (analytic) = 2.7233978268559241294830548587164
y[1] (numeric) = 2.7233978268559241017113208083264
absolute error = 2.77717340503900e-17
relative error = 1.0197457667230196989676120247591e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.801
Order of pole = 1.013
x[1] = 4.2285691245013056324144070864865
y[1] (analytic) = 2.7239378031532328145142187909404
y[1] (numeric) = 2.7239378031532327867424450853265
absolute error = 2.77717737056139e-17
relative error = 1.0195450745411760191735723725601e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2295623767084930269246388758444
y[1] (analytic) = 2.7244777719348875204327259107646
y[1] (numeric) = 2.7244777719348874926609125911613
absolute error = 2.77718133196033e-17
relative error = 1.0193444632099211876164170694159e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.177
Order of pole = 0.5722
x[1] = 4.2305556289156804214348706652023
y[1] (analytic) = 2.725017733203493784094525285733
y[1] (numeric) = 2.7250177332034937563226723933249
absolute error = 2.77718528924081e-17
relative error = 1.0191439326803898433940544697119e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2315488811228678159451024545602
y[1] (analytic) = 2.7255576869616557876539454925896
y[1] (numeric) = 2.7255576869616557598820530685116
absolute error = 2.77718924240780e-17
relative error = 1.0189434829037506206622768775208e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.501
Order of pole = 0.6866
x[1] = 4.2325421333300552104553342439181
y[1] (analytic) = 2.726097633211976359502668594214
y[1] (numeric) = 2.7260976332119763317307366795507
absolute error = 2.77719319146633e-17
relative error = 1.0187431138312354579787869241920e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.233535385537242604965566033276
y[1] (analytic) = 2.7266375719570569752078907276802
y[1] (numeric) = 2.7266375719570569474359193634666
absolute error = 2.77719713642136e-17
relative error = 1.0185428254140918548904901442208e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2345286377444299994757978226339
y[1] (analytic) = 2.7271775031994977584496701488165
y[1] (numeric) = 2.7271775031994977306776593760378
absolute error = 2.77720107727787e-17
relative error = 1.0183426176036158547228632766723e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2355218899516173939860296119918
y[1] (analytic) = 2.7277174269418974819574635776131
y[1] (numeric) = 2.727717426941897454185413437205
absolute error = 2.77720501404081e-17
relative error = 1.0181424903511336632361148561919e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2365151421588047884962614013497
y[1] (analytic) = 2.7282573431868535684458516878044
y[1] (numeric) = 2.7282573431868535406737622206529
absolute error = 2.77720894671515e-17
relative error = 1.0179424436080199425451894857229e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2375083943659921830064931907076
y[1] (analytic) = 2.7287972519369620915494545829287
y[1] (numeric) = 2.72879725193696206377732582987
absolute error = 2.77721287530587e-17
relative error = 1.0177424773256940956168510533789e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2385016465731795775167249800655
y[1] (analytic) = 2.7293371531948177767570381001482
y[1] (numeric) = 2.7293371531948177489848701019694
absolute error = 2.77721679981788e-17
relative error = 1.0175425914555909079280491025127e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2394948987803669720269567694234
y[1] (analytic) = 2.7298770469630140023448117820955
y[1] (numeric) = 2.7298770469630139745726045795343
absolute error = 2.77722072025612e-17
relative error = 1.0173427859491971610015297715616e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2404881509875543665371885587813
y[1] (analytic) = 2.7304169332441428003089193559897
y[1] (numeric) = 2.7304169332441427725366729897343
absolute error = 2.77722463662554e-17
relative error = 1.0171430607580442531747754049792e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2414814031947417610474203481392
y[1] (analytic) = 2.730956812040794857297122558253
y[1] (numeric) = 2.7309568120407948295248370689424
absolute error = 2.77722854893106e-17
relative error = 1.0169434158336935056854411025899e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.417
Order of pole = 0.5886
x[1] = 4.2424746554019291555576521374971
y[1] (analytic) = 2.7314966833555595155396791418426
y[1] (numeric) = 2.7314966833555594877673545700665
absolute error = 2.77723245717761e-17
relative error = 1.0167438511277507741586627006894e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.243467907609116550067883926855
y[1] (analytic) = 2.7320365471910247737794159024989
y[1] (numeric) = 2.7320365471910247460070522887982
absolute error = 2.77723636137007e-17
relative error = 1.0165443665918444400425706630462e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 11.11
Order of pole = 2.37
x[1] = 4.2444611598163039445781157162129
y[1] (analytic) = 2.7325764035497772882009975590994
y[1] (numeric) = 2.7325764035497772604285949439656
absolute error = 2.77724026151338e-17
relative error = 1.0163449621776656404864729974036e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2454544120234913390883475055708
y[1] (analytic) = 2.7331162524344023733593923222945
y[1] (numeric) = 2.7331162524344023455869507461703
absolute error = 2.77724415761242e-17
relative error = 1.0161456378369242975197260498982e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
memory used=537.8MB, alloc=4.4MB, time=66.83
x[1] = 4.2464476642306787335985792949287
y[1] (analytic) = 2.7336560938474840031075349845969
y[1] (numeric) = 2.733656093847483975335054487876
absolute error = 2.77724804967209e-17
relative error = 1.0159463935213783614279381193547e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2474409164378661281088110842866
y[1] (analytic) = 2.7341959277916048115231883640825
y[1] (numeric) = 2.7341959277916047837506689871099
absolute error = 2.77725193769726e-17
relative error = 1.0157472291828154735187477811936e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2484341686450535226190428736445
y[1] (analytic) = 2.7347357542693460938350039328596
y[1] (numeric) = 2.7347357542693460660624457159313
absolute error = 2.77725582169283e-17
relative error = 1.0155481447730748738746285525880e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2494274208522409171292746630024
y[1] (analytic) = 2.735275573283287807347782460453
y[1] (numeric) = 2.7352755732832877795751854438163
absolute error = 2.77725970166367e-17
relative error = 1.0153491402440254119023692147734e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2504206730594283116395064523603
y[1] (analytic) = 2.7358153848360085723669355012497
y[1] (numeric) = 2.7358153848360085445942997251033
absolute error = 2.77726357761464e-17
relative error = 1.0151502155475728246588757363334e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2514139252666157061497382417182
y[1] (analytic) = 2.7363551889300856731221485541485
y[1] (numeric) = 2.7363551889300856453494740586428
absolute error = 2.77726744955057e-17
relative error = 1.0149513706356523885802254878613e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.064
Order of pole = 0.8877
x[1] = 4.2524071774738031006599700310761
y[1] (analytic) = 2.7368949855680950586902467215559
y[1] (numeric) = 2.7368949855680950309175335467925
absolute error = 2.77727131747634e-17
relative error = 1.0147526054602581176657656409277e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.253400429680990495170201820434
y[1] (analytic) = 2.7374347747526113439172636938684
y[1] (numeric) = 2.7374347747526113161445118799004
absolute error = 2.77727518139680e-17
relative error = 1.0145539199734134782392010636395e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2543936818881778896804336097919
y[1] (analytic) = 2.7379745564862078103397148845871
y[1] (numeric) = 2.7379745564862077825669244714192
absolute error = 2.77727904131679e-17
relative error = 1.0143553141271786617040318481853e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2553869340953652841906653991498
y[1] (analytic) = 2.7385143307714564071050755402105
y[1] (numeric) = 2.7385143307714563793322465677994
absolute error = 2.77728289724111e-17
relative error = 1.0141567878736395906264174119032e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2563801863025526787008971885077
y[1] (analytic) = 2.7390540976109277518914646480576
y[1] (numeric) = 2.7390540976109277241185971563115
absolute error = 2.77728674917461e-17
relative error = 1.0139583411649407485654723863889e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2573734385097400732111289778656
y[1] (analytic) = 2.7395938570071911318265354641769
y[1] (numeric) = 2.7395938570071911040536294929558
absolute error = 2.77729059712211e-17
relative error = 1.0137599739532559181040815781698e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2583666907169274677213607672235
y[1] (analytic) = 2.7401336089628145044055734825075
y[1] (numeric) = 2.7401336089628144766326290716234
absolute error = 2.77729444108841e-17
relative error = 1.0135616861907917985821570939530e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2593599429241148622315925565814
y[1] (analytic) = 2.7406733534803644984088026654644
y[1] (numeric) = 2.7406733534803644706358198546812
absolute error = 2.77729828107832e-17
relative error = 1.0133634778297989170351483411370e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2603531951313022567418243459393
y[1] (analytic) = 2.7412130905624064148179007551315
y[1] (numeric) = 2.7412130905624063870448795841653
absolute error = 2.77730211709662e-17
relative error = 1.0131653488225569901065144472255e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2613464473384896512520561352972
y[1] (analytic) = 2.7417528202115042277317244832566
y[1] (numeric) = 2.7417528202115041999586649917752
absolute error = 2.77730594914814e-17
relative error = 1.0129672991214040708753011073148e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2623396995456770457622879246551
y[1] (analytic) = 2.7422925424302205852812454972539
y[1] (numeric) = 2.7422925424302205575081477248775
absolute error = 2.77730977723764e-17
relative error = 1.0127693286786927295887889715135e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.263332951752864440272519714013
y[1] (analytic) = 2.742832257221116810543697818438
y[1] (numeric) = 2.7428322572211167827705618047391
absolute error = 2.77731360136989e-17
relative error = 1.0125714374468192034625440499664e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2643262039600518347827515033709
y[1] (analytic) = 2.7433719645867529024559376477237
y[1] (numeric) = 2.7433719645867528746827634322269
absolute error = 2.77731742154968e-17
relative error = 1.0123736253782269960310366476763e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2653194561672392292929832927288
y[1] (analytic) = 2.7439116645296875367270163330451
y[1] (numeric) = 2.7439116645296875089538039552273
absolute error = 2.77732123778178e-17
relative error = 1.0121758924253922500934871602728e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.051
Order of pole = 0.5633
x[1] = 4.2663127083744266238032150820867
y[1] (analytic) = 2.7444513570524780667499673117658
y[1] (numeric) = 2.7444513570524780389767168110564
absolute error = 2.77732505007094e-17
relative error = 1.0119782385408237127841870182515e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2673059605816140183134468714446
y[1] (analytic) = 2.7449910421576805245128078403712
y[1] (numeric) = 2.7449910421576804967395192561524
absolute error = 2.77732885842188e-17
relative error = 1.0117806636770590576883509202851e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2682992127888014128236786608025
y[1] (analytic) = 2.7455307198478496215087563227551
y[1] (numeric) = 2.7455307198478495937354296943612
absolute error = 2.77733266283939e-17
relative error = 1.0115831677867012764126412170547e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2692924649959888073339104501604
y[1] (analytic) = 2.746070390125538749645666047432
y[1] (numeric) = 2.74607039012553872187230141415
absolute error = 2.77733646332820e-17
relative error = 1.0113857508223712712012150384963e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.535
Order of pole = 0.6878
x[1] = 4.2702857172031762018441422395183
y[1] (analytic) = 2.7466100529932999821546761430357
y[1] (numeric) = 2.7466100529932999543812735441053
absolute error = 2.77734025989304e-17
relative error = 1.0111884127367296796282136066842e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2712789694103635963543740288762
y[1] (analytic) = 2.747149708453684074498080560484
y[1] (numeric) = 2.7471497084536840467246400350979
absolute error = 2.77734405253861e-17
relative error = 1.0109911534824659123406464664911e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2722722216175509908646058182341
y[1] (analytic) = 2.7476893565092404652764158892208
y[1] (numeric) = 2.7476893565092404375029374765242
absolute error = 2.77734784126966e-17
relative error = 1.0107939730123272373605997664479e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.273265473824738385374837607592
y[1] (analytic) = 2.748228997162517277134768813967
y[1] (numeric) = 2.748228997162517249361252553058
absolute error = 2.77735162609090e-17
relative error = 1.0105968712790859721064235969210e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
memory used=541.7MB, alloc=4.4MB, time=67.31
x[1] = 4.2742587260319257798850693969499
y[1] (analytic) = 2.7487686304160613176683040174503
y[1] (numeric) = 2.7487686304160612898947499473799
absolute error = 2.77735540700704e-17
relative error = 1.0103998482355540079672915196990e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2752519782391131743953011863078
y[1] (analytic) = 2.7493082562724180803270133336052
y[1] (numeric) = 2.7493082562724180525534214933777
absolute error = 2.77735918402275e-17
relative error = 1.0102029038345682195472999986515e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.64
Order of pole = 1.375
x[1] = 4.2762452304463005689055329756657
y[1] (analytic) = 2.7498478747341317453196869547726
y[1] (numeric) = 2.7498478747341317175460573833452
absolute error = 2.77736295714274e-17
relative error = 1.0100060380290195298703035734906e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2772384826534879634157647650236
y[1] (analytic) = 2.7503874858037451805171074954562
y[1] (numeric) = 2.750387485803745152743440231739
absolute error = 2.77736672637172e-17
relative error = 1.0098092507718383111572890774381e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2782317348606753579259965543815
y[1] (analytic) = 2.750927089483799942354467714231
y[1] (numeric) = 2.7509270894837999145807627970874
absolute error = 2.77737049171436e-17
relative error = 1.0096125420159798027901572488058e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2792249870678627524362283437394
y[1] (analytic) = 2.7514666857768362767330126944328
y[1] (numeric) = 2.7514666857768362489592701626798
absolute error = 2.77737425317530e-17
relative error = 1.0094159117144277185637464908613e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2802182392750501469464601330973
y[1] (analytic) = 2.7520062746853931199209072832962
y[1] (numeric) = 2.7520062746853930921471271757038
absolute error = 2.77737801075924e-17
relative error = 1.0092193598202269193984526263198e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 13.21
Order of pole = 3.113
x[1] = 4.2812114914822375414566919224552
y[1] (analytic) = 2.7525458562120080994533295882426
y[1] (numeric) = 2.7525458562120080716795119435342
absolute error = 2.77738176447084e-17
relative error = 1.0090228862864470206208609184117e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 22.66
Order of pole = 8.185
x[1] = 4.2822047436894249359669237118131
y[1] (analytic) = 2.7530854303592175350317913280649
y[1] (numeric) = 2.7530854303592175072579361849174
absolute error = 2.77738551431475e-17
relative error = 1.0088264910661932617922541549055e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.283197995896612330477155501171
y[1] (analytic) = 2.7536249971295564394226858357927
y[1] (numeric) = 2.7536249971295564116487932328366
absolute error = 2.77738926029561e-17
relative error = 1.0086301741126064690310069235304e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2841912481037997249873872905289
y[1] (analytic) = 2.7541645565255585193550645090652
y[1] (numeric) = 2.7541645565255584915811344848845
absolute error = 2.77739300241807e-17
relative error = 1.0084339353788702791130103164490e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2851845003109871194976190798868
y[1] (analytic) = 2.7547041085497561764176425028818
y[1] (numeric) = 2.754704108549756148643675096014
absolute error = 2.77739674068678e-17
relative error = 1.0082377748182074646240409284998e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2861777525181745140078508692447
y[1] (analytic) = 2.7552436532046805079550344586454
y[1] (numeric) = 2.7552436532046804801810297075818
absolute error = 2.77740047510636e-17
relative error = 1.0080416923838690045475325160108e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2871710047253619085180826586026
y[1] (analytic) = 2.7557831904928613079632210624609
y[1] (numeric) = 2.7557831904928612801891790056468
absolute error = 2.77740420568141e-17
relative error = 1.0078456880291376826247592987308e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2881642569325493030283144479605
y[1] (analytic) = 2.7563227204168270679842472246972
y[1] (numeric) = 2.7563227204168270402101679005316
absolute error = 2.77740793241656e-17
relative error = 1.0076497617073461935808813752944e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2891575091397366975385462373184
y[1] (analytic) = 2.7568622429791049780001526718691
y[1] (numeric) = 2.7568622429791049502260361187046
absolute error = 2.77741165531645e-17
relative error = 1.0074539133718698369085457073204e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2901507613469240920487780266763
y[1] (analytic) = 2.7574017581822209273261357409472
y[1] (numeric) = 2.7574017581822208995519819970907
absolute error = 2.77741537438565e-17
relative error = 1.0072581429760974596180315125778e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.085
Order of pole = 0.7489
x[1] = 4.2911440135541114865590098160342
y[1] (analytic) = 2.7579412660286995055029511652558
y[1] (numeric) = 2.7579412660286994777287602689683
absolute error = 2.77741908962875e-17
relative error = 1.0070624504734640732776291590942e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2921372657612988810692416053921
y[1] (analytic) = 2.7584807665210640031885426401689
y[1] (numeric) = 2.7584807665210639754143146296652
absolute error = 2.77742280105037e-17
relative error = 1.0068668358174544313103889466191e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.919
Order of pole = 0.627
x[1] = 4.29313051796848627557947339475
y[1] (analytic) = 2.7590202596618364130489109558692
y[1] (numeric) = 2.7590202596618363852746458693183
absolute error = 2.77742650865509e-17
relative error = 1.0066712989615776062976642306520e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2941237701756736700897051841079
y[1] (analytic) = 2.7595597454535374306482184834919
y[1] (numeric) = 2.7595597454535374028739163590171
absolute error = 2.77743021244748e-17
relative error = 1.0064758398593778347714917738930e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2951170223828610645999369734658
y[1] (analytic) = 2.7600992238986864553381308000304
y[1] (numeric) = 2.7600992238986864275637916757093
absolute error = 2.77743391243211e-17
relative error = 1.0062804584644381031755991190374e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2961102745900484591101687628237
y[1] (analytic) = 2.760638694999801591146396236438
y[1] (numeric) = 2.7606386949998015633720201503024
absolute error = 2.77743760861356e-17
relative error = 1.0060851547303837296253567946590e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2971035267972358536204005521816
y[1] (analytic) = 2.7611781587593996476646641324196
y[1] (numeric) = 2.7611781587593996198902511224558
absolute error = 2.77744130099638e-17
relative error = 1.0058899286108678332604254978134e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.286
Order of pole = 0.5777
x[1] = 4.2980967790044232481306323415395
y[1] (analytic) = 2.7617176151799961409355425804691
y[1] (numeric) = 2.7617176151799961131610926846178
absolute error = 2.77744498958513e-17
relative error = 1.0056947800595857881111625883734e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.2990900312116106426408641308974
y[1] (analytic) = 2.7622570642641052943388964407666
y[1] (numeric) = 2.7622570642641052665644096969232
absolute error = 2.77744867438434e-17
relative error = 1.0054997090302606982088211145654e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3000832834187980371510959202553
y[1] (analytic) = 2.7627965060142400394773864076171
y[1] (numeric) = 2.7627965060142400117028628536314
absolute error = 2.77745235539857e-17
relative error = 1.0053047154766650849256610356082e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3010765356259854316613277096132
y[1] (analytic) = 2.7633359404329120170612499071709
y[1] (numeric) = 2.7633359404329119892866895808474
absolute error = 2.77745603263235e-17
relative error = 1.0051097993525991231432534900193e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3020697878331728261715594989711
y[1] (analytic) = 2.7638753675226315777923246052374
y[1] (numeric) = 2.7638753675226315500177275443353
memory used=545.5MB, alloc=4.4MB, time=67.78
absolute error = 2.77745970609021e-17
relative error = 1.0049149606119014658841127847616e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 9.497
Order of pole = 1.84
x[1] = 4.303063040040360220681791288329
y[1] (analytic) = 2.764414787285907783247315303066
y[1] (numeric) = 2.7644147872859077554726815452994
absolute error = 2.77746337577666e-17
relative error = 1.0047201992084419692624489354970e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3040562922475476151920230776869
y[1] (analytic) = 2.7649541997252484067603049980395
y[1] (numeric) = 2.7649541997252483789856345810771
absolute error = 2.77746704169624e-17
relative error = 1.0045255150961397428292264977855e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3050495444547350097022548670448
y[1] (analytic) = 2.7654936048431599343045108852912
y[1] (numeric) = 2.7654936048431599065298038467567
absolute error = 2.77747070385345e-17
relative error = 1.0043309082289377869042791916410e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3060427966619224042124866564027
y[1] (analytic) = 2.766033002642147565373286075331
y[1] (numeric) = 2.7660330026421475375985424528032
absolute error = 2.77747436225278e-17
relative error = 1.0041363785608138124464883293786e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3070360488691097987227184457606
y[1] (analytic) = 2.7665723931247152138603678018363
y[1] (numeric) = 2.7665723931247151860855876328489
absolute error = 2.77747801689874e-17
relative error = 1.0039419260457910482698182601211e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3080293010762971932329502351185
y[1] (analytic) = 2.7671117762933655089393728928351
y[1] (numeric) = 2.7671117762933654811645562148769
absolute error = 2.77748166779582e-17
relative error = 1.0037475506379237384881327389047e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3090225532834845877431820244764
y[1] (analytic) = 2.7676511521505997959425412775861
y[1] (numeric) = 2.7676511521505997681676881281009
absolute error = 2.77748531494852e-17
relative error = 1.0035532522913079491267674684310e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3100158054906719822534138138343
y[1] (analytic) = 2.7681905206989181372387283005336
y[1] (numeric) = 2.7681905206989181094638387169205
absolute error = 2.77748895836131e-17
relative error = 1.0033590309600670748268202299822e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3110090576978593767636456031922
y[1] (analytic) = 2.7687298819408193131106466127946
y[1] (numeric) = 2.7687298819408192853357206324081
absolute error = 2.77749259803865e-17
relative error = 1.0031648865983590330796202906274e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3120023099050467712738773925501
y[1] (analytic) = 2.7692692358788008226313584107116
y[1] (numeric) = 2.7692692358788007948563960708614
absolute error = 2.77749623398502e-17
relative error = 1.0029708191603870611181669515337e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.19
Order of pole = 1.265
x[1] = 4.3139888143194215602943409712659
y[1] (analytic) = 2.7703479218529884381168709837747
y[1] (numeric) = 2.7703479218529884103418360367477
absolute error = 2.77750349470270e-17
relative error = 1.0025829148726292293595769529767e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3149820665266089548045727606238
y[1] (analytic) = 2.7708872538941831440574942494658
y[1] (numeric) = 2.7708872538941831162824230546369
absolute error = 2.77750711948289e-17
relative error = 1.0023890779314110846380216150475e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3159753187337963493148045499817
y[1] (analytic) = 2.7714265786414353853463051734265
y[1] (numeric) = 2.7714265786414353575711977679273
absolute error = 2.77751074054992e-17
relative error = 1.0021953177310824144730058952663e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 9.86
Order of pole = 1.937
x[1] = 4.3169685709409837438250363393396
y[1] (analytic) = 2.7719658960972362681293131552342
y[1] (numeric) = 2.7719658960972362403541695761518
absolute error = 2.77751435790824e-17
relative error = 1.0020016342260255212131182067663e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3179618231481711383352681286975
y[1] (analytic) = 2.7725052062640756225861308374804
y[1] (numeric) = 2.7725052062640755948109511218579
absolute error = 2.77751797156225e-17
relative error = 1.0018080273706425355799003573809e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 14.11
Order of pole = 3.44
x[1] = 4.3189550753553585328454999180554
y[1] (analytic) = 2.7730445091444420038012402435799
y[1] (numeric) = 2.773044509144441976026024428416
absolute error = 2.77752158151639e-17
relative error = 1.0016144971193878500417910332073e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3199483275625459273557317074133
y[1] (analytic) = 2.7735838047408226926345153858856
y[1] (numeric) = 2.7735838047408226648592635081349
absolute error = 2.77752518777507e-17
relative error = 1.0014210434267428272550348416000e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3209415797697333218659634967712
y[1] (analytic) = 2.774123093055703696591002105407
y[1] (numeric) = 2.7741230930557036688157142019798
absolute error = 2.77752879034272e-17
relative error = 1.0012276662472337949211711382062e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.001
Order of pole = 0.7362
x[1] = 4.3219348319769207163761952861291
y[1] (analytic) = 2.7746623740915697506899559035152
y[1] (numeric) = 2.7746623740915697229146320112778
absolute error = 2.77753238922374e-17
relative error = 1.0010343655354139792418016029404e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.322928084184108110886427075487
y[1] (analytic) = 2.7752016478509043183331385251147
y[1] (numeric) = 2.7752016478509042905577786808895
absolute error = 2.77753598442252e-17
relative error = 1.0008411412458706828334560997177e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3239213363912955053966588648449
y[1] (analytic) = 2.7757409143361895921723740518509
y[1] (numeric) = 2.7757409143361895643969782924163
absolute error = 2.77753957594346e-17
relative error = 1.0006479933332324542784024806386e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3249145885984828999068906542028
y[1] (analytic) = 2.7762801735499064949763652630199
y[1] (numeric) = 2.7762801735499064672009336251103
absolute error = 2.77754316379096e-17
relative error = 1.0004549217521654434973385992057e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 12.23
Order of pole = 2.705
x[1] = 4.3259078408056702944171224435607
y[1] (analytic) = 2.7768194254945346804967710209407
y[1] (numeric) = 2.7768194254945346527213035412467
absolute error = 2.77754674796940e-17
relative error = 1.0002619264573661601298837622266e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3269010930128576889273542329186
y[1] (analytic) = 2.7773586701725525343335454366486
y[1] (numeric) = 2.7773586701725525065580421518173
absolute error = 2.77755032848313e-17
relative error = 1.0000690074035578408978350931478e-15 %
Correct digits = 16
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3278943452200450834375860222765
y[1] (analytic) = 2.7778979075864371747995395708664
y[1] (numeric) = 2.7778979075864371470240005175009
absolute error = 2.77755390533655e-17
relative error = 9.9987616454551921980137989097694e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 9.29
Order of pole = 1.771
x[1] = 4.3288875974272324779478178116344
y[1] (analytic) = 2.778437137738664453784366424307
y[1] (numeric) = 2.7784371377386644260087916389668
absolute error = 2.77755747853402e-17
relative error = 9.9968339783805207934011853298497e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3298808496344198724580496009923
y[1] (analytic) = 2.7789763606317089576175299704659
y[1] (numeric) = 2.778976360631708929841919489667
absolute error = 2.77756104807989e-17
relative error = 9.9949070723599202088338155590034e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=549.3MB, alloc=4.4MB, time=68.24
NO POLE
x[1] = 4.3308741018416072669682813903502
y[1] (analytic) = 2.7795155762680440079308189831607
y[1] (numeric) = 2.7795155762680439801551728433756
absolute error = 2.77756461397851e-17
relative error = 9.9929809269421202700848629749035e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 8.501
Order of pole = 1.563
x[1] = 4.3318673540487946614785131797081
y[1] (analytic) = 2.7800547846501416625199664101788
y[1] (numeric) = 2.7800547846501416347442846478363
absolute error = 2.77756817623425e-17
relative error = 9.9910555416762961674805791380288e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.332860606255982055988744969066
y[1] (analytic) = 2.7805939857804727162055750434983
y[1] (numeric) = 2.780593985780472688429857694984
absolute error = 2.77757173485143e-17
relative error = 9.9891309161118162533064411367124e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3338538584631694504989767584239
y[1] (analytic) = 2.7811331796615067016933102356544
y[1] (numeric) = 2.7811331796615066739175573373104
absolute error = 2.77757528983440e-17
relative error = 9.9872070497985294811225576245827e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 10.99
Order of pole = 2.275
x[1] = 4.3348471106703568450092085477818
y[1] (analytic) = 2.7816723662957118904333604109272
y[1] (numeric) = 2.7816723662957118626575719990526
absolute error = 2.77757884118746e-17
relative error = 9.9852839422864773172616649270105e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3358403628775442395194403371397
y[1] (analytic) = 2.7822115456855552934791661191391
y[1] (numeric) = 2.7822115456855552657033422299895
absolute error = 2.77758238891496e-17
relative error = 9.9833615931262529546852614469753e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3368336150847316340296721264976
y[1] (analytic) = 2.7827507178335026623454183789537
y[1] (numeric) = 2.7827507178335026345695590487415
absolute error = 2.77758593302122e-17
relative error = 9.9814400018687132672837865599354e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3378268672919190285399039158555
y[1] (analytic) = 2.7832898827420184898653270566832
y[1] (numeric) = 2.7832898827420184620894323215778
absolute error = 2.77758947351054e-17
relative error = 9.9795191680650144573515583849550e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3388201194991064230501357052134
y[1] (analytic) = 2.7838290404135660110471600257217
y[1] (numeric) = 2.7838290404135659832712299218495
absolute error = 2.77759301038722e-17
relative error = 9.9775990912666835834132504427871e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3398133717062938175603674945713
y[1] (analytic) = 2.7843681908506072039300538508324
y[1] (numeric) = 2.7843681908506071761540884142767
absolute error = 2.77759654365557e-17
relative error = 9.9756797710256540901892247761189e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.969
Order of pole = 0.6293
x[1] = 4.3408066239134812120705992839292
y[1] (analytic) = 2.7849073340556027904390967406334
y[1] (numeric) = 2.7849073340556027626630960074345
absolute error = 2.77760007331989e-17
relative error = 9.9737612068941935738115548963156e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3417998761206686065808310732871
y[1] (analytic) = 2.7854464700310122372396845107404
y[1] (numeric) = 2.7854464700310122094636485168957
absolute error = 2.77760359938447e-17
relative error = 9.9718433984249034327380432702806e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.342793128327856001091062862645
y[1] (analytic) = 2.7859855987792937565911502991421
y[1] (numeric) = 2.7859855987792937288150790806065
absolute error = 2.77760712185356e-17
relative error = 9.9699263451706108372836309537974e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3437863805350433956012946520029
y[1] (analytic) = 2.7865247203029043071996687745015
y[1] (numeric) = 2.7865247203029042794235623671869
absolute error = 2.77761064073146e-17
relative error = 9.9680100466846914685363478609205e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3447796327422307901115264413608
y[1] (analytic) = 2.7870638346042995950704355771935
y[1] (numeric) = 2.7870638346042995672942940169689
absolute error = 2.77761415602246e-17
relative error = 9.9660945025208536819228640682471e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.207
Order of pole = 0.759
x[1] = 4.3457728849494181846217582307187
y[1] (analytic) = 2.7876029416859340743591227320113
y[1] (numeric) = 2.7876029416859340465829460547033
absolute error = 2.77761766773080e-17
relative error = 9.9641797122329946674932536204400e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3467661371566055791319900200766
y[1] (analytic) = 2.7881420415502609482226107705955
y[1] (numeric) = 2.7881420415502609204463990119881
absolute error = 2.77762117586074e-17
relative error = 9.9622656753754513050729958381164e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 10.81
Order of pole = 2.208
x[1] = 4.3477593893637929736422218094345
y[1] (analytic) = 2.7886811341997321696689983007597
y[1] (numeric) = 2.7886811341997321418927514965944
absolute error = 2.77762468041653e-17
relative error = 9.9603523915028921360276722691863e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 9.988
Order of pole = 1.959
x[1] = 4.3487526415709803681524535987924
y[1] (analytic) = 2.7892202196367984424068897590124
y[1] (numeric) = 2.789220219636798414630607944988
absolute error = 2.77762818140244e-17
relative error = 9.9584398601704245742242658616735e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.414
Order of pole = 1.303
x[1] = 4.3497458937781677626626853881503
y[1] (analytic) = 2.7897592978639092216939620816987
y[1] (numeric) = 2.7897592978639091939176452934717
absolute error = 2.77763167882270e-17
relative error = 9.9565280809333793842454094381760e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.739
Order of pole = 1.164
x[1] = 4.3507391459853551571729171775082
y[1] (analytic) = 2.7902983688835127151848110293116
y[1] (numeric) = 2.7902983688835126874084593024964
absolute error = 2.77763517268152e-17
relative error = 9.9546170533473821171557347818000e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3517323981925425516831489668661
y[1] (analytic) = 2.7908374326980558837780778976506
y[1] (numeric) = 2.790837432698055856001691267819
absolute error = 2.77763866298316e-17
relative error = 9.9527067769686036212012209283600e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.352725650399729946193380756224
y[1] (analytic) = 2.7913764893099844424628573486308
y[1] (numeric) = 2.7913764893099844146864358513123
absolute error = 2.77764214973185e-17
relative error = 9.9507972513534728929854006261144e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3537189026069173407036125455819
y[1] (analytic) = 2.7919155387217428611643870926796
y[1] (numeric) = 2.7919155387217428333879307633616
absolute error = 2.77764563293180e-17
relative error = 9.9488884760587126206552119189569e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3547121548141047352138443349398
y[1] (analytic) = 2.7924545809357743655890201537847
y[1] (numeric) = 2.7924545809357743378125290279127
absolute error = 2.77764911258720e-17
relative error = 9.9469804506413388751607610092682e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 8.809
Order of pole = 1.632
x[1] = 4.3557054070212921297240761242977
y[1] (analytic) = 2.792993615954520938068480447393
y[1] (numeric) = 2.7929936159545209102919545603701
absolute error = 2.77765258870229e-17
relative error = 9.9450731746589114290420227016291e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3566986592284795242343079136556
y[1] (analytic) = 2.7935326437804233184034024004877
y[1] (numeric) = 2.7935326437804232906268417876751
absolute error = 2.77765606128126e-17
relative error = 9.9431666476691752369789609081416e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 11.85
Order of pole = 2.549
x[1] = 4.3576919114356669187445397030135
y[1] (analytic) = 2.7940716644159210047061553423113
y[1] (numeric) = 2.7940716644159209769295600390282
absolute error = 2.77765953032831e-17
relative error = 9.9412608692302749723686961431420e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=553.1MB, alloc=4.4MB, time=68.70
NO POLE
x[1] = 4.3586851636428543132547714923714
y[1] (analytic) = 2.7946106778634522542429533933328
y[1] (numeric) = 2.7946106778634522264663234348567
absolute error = 2.77766299584761e-17
relative error = 9.9393558389006114840583949803282e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.259
Order of pole = 1.268
x[1] = 4.3596784158500417077650032817293
y[1] (analytic) = 2.7951496841254540842752515791975
y[1] (numeric) = 2.7951496841254540564985870007639
absolute error = 2.77766645784336e-17
relative error = 9.9374515562390561817877784493046e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3606716680572291022752350710872
y[1] (analytic) = 2.7956886832043622729004288955319
y[1] (numeric) = 2.7956886832043622451237297323344
absolute error = 2.77766991631975e-17
relative error = 9.9355480208048074800455068208243e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3616649202644164967854668604451
y[1] (analytic) = 2.7962276751026113598917590486182
y[1] (numeric) = 2.7962276751026113321150253358088
absolute error = 2.77767337128094e-17
relative error = 9.9336452321573189329248910251762e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.362658172471603891295698649803
y[1] (analytic) = 2.7967666598226346475376695960928
y[1] (numeric) = 2.7967666598226346197609013687819
absolute error = 2.77767682273109e-17
relative error = 9.9317431898564062299835307536543e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3636514246787912858059304391609
y[1] (analytic) = 2.7973056373668642014802902109626
y[1] (numeric) = 2.7973056373668641737034875042188
absolute error = 2.77768027067438e-17
relative error = 9.9298418934623183197515622809938e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3646446768859786803161622285188
y[1] (analytic) = 2.7978446077377308515532907913756
y[1] (numeric) = 2.797844607737730823776453640226
absolute error = 2.77768371511496e-17
relative error = 9.9279413425355582584719729525977e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3656379290931660748263940178767
y[1] (analytic) = 2.7983835709376641926190101377287
y[1] (numeric) = 2.7983835709376641648421385771589
absolute error = 2.77768715605698e-17
relative error = 9.9260415366369901452239150687524e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3666311813003534693366258072346
y[1] (analytic) = 2.7989225269690925854048759178365
y[1] (numeric) = 2.7989225269690925576279699827908
absolute error = 2.77769059350457e-17
relative error = 9.9241424753277672933553248976086e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3676244335075408638468575965925
y[1] (analytic) = 2.7994614758344431573391166400341
y[1] (numeric) = 2.7994614758344431295621763654153
absolute error = 2.77769402746188e-17
relative error = 9.9222441581694748118537541212095e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.427
Order of pole = 1.301
x[1] = 4.3686176857147282583570893859504
y[1] (analytic) = 2.8000004175361418033857663532312
y[1] (numeric) = 2.8000004175361417756087917739006
absolute error = 2.77769745793306e-17
relative error = 9.9203465847240577364007640799403e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3696109379219156528673211753083
y[1] (analytic) = 2.8005393520766131868789627920846
y[1] (numeric) = 2.8005393520766131591019539428623
absolute error = 2.77770088492223e-17
relative error = 9.9184497545537135360363162318669e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3706041901291030473775529646662
y[1] (analytic) = 2.8010782794582807403565396846061
y[1] (numeric) = 2.8010782794582807125794966002711
absolute error = 2.77770430843350e-17
relative error = 9.9165536672209632466328579541028e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3715974423362904418877847540241
y[1] (analytic) = 2.8016171996835666663929139386722
y[1] (numeric) = 2.8016171996835666386158366539623
absolute error = 2.77770772847099e-17
relative error = 9.9146583222887225222978569400316e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.372590694543477836398016543382
y[1] (analytic) = 2.8021561127548919384312684230532
y[1] (numeric) = 2.8021561127548919106541569726649
absolute error = 2.77771114503883e-17
relative error = 9.9127637193203012312081875128231e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3735839467506652309082483327399
y[1] (analytic) = 2.8026950186746763016150310577334
y[1] (numeric) = 2.8026950186746762738378854763223
absolute error = 2.77771455814111e-17
relative error = 9.9108698578792246522265578291823e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3745771989578526254184801220978
y[1] (analytic) = 2.8032339174453382736186509274486
y[1] (numeric) = 2.8032339174453382458414712496293
absolute error = 2.77771796778193e-17
relative error = 9.9089767375294116086357554936664e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3755704511650400199287119114557
y[1] (analytic) = 2.8037728090692951454776721315198
y[1] (numeric) = 2.8037728090692951177004583918659
absolute error = 2.77772137396539e-17
relative error = 9.9070843578351383991056616656793e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3765637033722274144389437008136
y[1] (analytic) = 2.80431169354896298241810608222
y[1] (numeric) = 2.8043116935489629546408583152642
absolute error = 2.77772477669558e-17
relative error = 9.9051927183610027702802993824013e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.548
Order of pole = 1.121
x[1] = 4.3775569555794148089491754901715
y[1] (analytic) = 2.8048505708867566246851029630688
y[1] (numeric) = 2.804850570886756596907821203303
absolute error = 2.77772817597658e-17
relative error = 9.9033018186719235834501669938934e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3785502077866022034594072795294
y[1] (analytic) = 2.8053894410850896883709230576065
y[1] (numeric) = 2.8053894410850896605936073394819
absolute error = 2.77773157181246e-17
relative error = 9.9014116583331404816391795171897e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3795434599937895979696390688873
y[1] (analytic) = 2.8059283041463745662422086583606
y[1] (numeric) = 2.8059283041463745384648590162875
absolute error = 2.77773496420731e-17
relative error = 9.8995222369103204735936662265993e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.616
Order of pole = 0.6892
x[1] = 4.3805367122009769924798708582452
y[1] (analytic) = 2.8064671600730224285665572648768
y[1] (numeric) = 2.8064671600730224007891737332249
absolute error = 2.77773835316519e-17
relative error = 9.8976335539693793391216131985363e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3815299644081643869901026476031
y[1] (analytic) = 2.8070060088674432239383967788502
y[1] (numeric) = 2.8070060088674431961609793919486
absolute error = 2.77774173869016e-17
relative error = 9.8957456090765882413417229986236e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.382523216615351781500334436961
y[1] (analytic) = 2.8075448505320456801041634035548
y[1] (numeric) = 2.807544850532045652326712195692
absolute error = 2.77774512078628e-17
relative error = 9.8938584017985733612628795039753e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3835164688225391760105662263189
y[1] (analytic) = 2.8080836850692373047867829539326
y[1] (numeric) = 2.8080836850692372770092979593567
absolute error = 2.77774849945759e-17
relative error = 9.8919719317022443098672928533440e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3845097210297265705207980156768
y[1] (analytic) = 2.8086225124814243865094562828714
y[1] (numeric) = 2.8086225124814243587319375357899
absolute error = 2.77775187470815e-17
relative error = 9.8900861983549362504829677351993e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3855029732369139650310298050347
y[1] (analytic) = 2.8091613327710119954187495283633
y[1] (numeric) = 2.8091613327710119676411970629433
absolute error = 2.77775524654200e-17
relative error = 9.8882012013242670751189524813962e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=556.9MB, alloc=4.4MB, time=69.16
NO POLE
x[1] = 4.3864962254441013595412615943926
y[1] (analytic) = 2.8097001459404039841069898854075
y[1] (numeric) = 2.8097001459404039563294037357759
absolute error = 2.77775861496316e-17
relative error = 9.8863169401781371091156256734142e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3874894776512887540514933837505
y[1] (analytic) = 2.8102389519920029884339676056868
y[1] (numeric) = 2.8102389519920029606563478059302
absolute error = 2.77776197997566e-17
relative error = 9.8844334144848355686514277243588e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3884827298584761485617251731084
y[1] (analytic) = 2.8107777509282104283479449272179
y[1] (numeric) = 2.8107777509282104005702915113825
absolute error = 2.77776534158354e-17
relative error = 9.8825506238130401638123994826829e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3894759820656635430719569624663
y[1] (analytic) = 2.8113165427514265087059726353465
y[1] (numeric) = 2.8113165427514264809282856374384
absolute error = 2.77776869979081e-17
relative error = 9.8806685677316744200584385071340e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3904692342728509375821887518242
y[1] (analytic) = 2.8118553274640502200935149556311
y[1] (numeric) = 2.8118553274640501923157944096164
absolute error = 2.77777205460147e-17
relative error = 9.8787872458099785459996644509273e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3914624864800383320924205411821
y[1] (analytic) = 2.8123941050684793396433834783318
y[1] (numeric) = 2.8123941050684793118656294181364
absolute error = 2.77777540601954e-17
relative error = 9.8769066576176157766363287823502e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.39245573868722572660265233054
y[1] (analytic) = 2.8129328755671104318539808133936
y[1] (numeric) = 2.8129328755671104040761932729032
absolute error = 2.77777875404904e-17
relative error = 9.8750268027246008439988871827532e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3934489908944131211128841198979
y[1] (analytic) = 2.8134716389623388494068546739913
y[1] (numeric) = 2.8134716389623388216290336870519
absolute error = 2.77778209869394e-17
relative error = 9.8731476807011219001775224423552e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3944422431016005156231159092558
y[1] (analytic) = 2.8140103952565587339835630858794
y[1] (numeric) = 2.8140103952565587062057086862971
absolute error = 2.77778543995823e-17
relative error = 9.8712692911177890826021613874273e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3954354953087879101333476986137
y[1] (analytic) = 2.8145491444521630170818514189655
y[1] (numeric) = 2.8145491444521629893039636405065
absolute error = 2.77778877784590e-17
relative error = 9.8693916335455630268482020526712e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3964287475159753046435794879716
y[1] (analytic) = 2.8150878865515434208311419367075
y[1] (numeric) = 2.815087886551543393053220813098
absolute error = 2.77779211236095e-17
relative error = 9.8675147075557900301706866289396e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3974219997231626991538112773295
y[1] (analytic) = 2.8156266215570904588073365581126
y[1] (numeric) = 2.8156266215570904310293821230392
absolute error = 2.77779544350734e-17
relative error = 9.8656385127200240782641301500986e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3984152519303500936640430666874
y[1] (analytic) = 2.816165349471193436846933526299
y[1] (numeric) = 2.8161653494711934090689458134088
absolute error = 2.77779877128902e-17
relative error = 9.8637630486101331505594079785097e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.3994085041375374881742748560453
y[1] (analytic) = 2.8167040702962404538604586767618
y[1] (numeric) = 2.816704070296240426082437719662
absolute error = 2.77780209570998e-17
relative error = 9.8618883147984764085291165767738e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.577
Order of pole = 1.325
x[1] = 4.4004017563447248826845066454032
y[1] (analytic) = 2.8172427840346184026452119976672
y[1] (numeric) = 2.8172427840346183748671578299252
absolute error = 2.77780541677420e-17
relative error = 9.8600143108577262237471311731452e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4013950085519122771947384347611
y[1] (analytic) = 2.8177814906887129706973301736851
y[1] (numeric) = 2.8177814906887129429192428288293
absolute error = 2.77780873448558e-17
relative error = 9.8581410363606194323090753920160e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.506
Order of pole = 0.9352
x[1] = 4.402388260759099671704970224119
y[1] (analytic) = 2.8183201902609086410231658040563
y[1] (numeric) = 2.8183201902609086132450453155753
absolute error = 2.77781204884810e-17
relative error = 9.8562684908805249635191070869118e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4033815129662870662152020134769
y[1] (analytic) = 2.8188588827535886929499839847722
y[1] (numeric) = 2.8188588827535886651718303861152
absolute error = 2.77781535986570e-17
relative error = 9.8543966739910175079975641279779e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4043747651734744607254338028348
y[1] (analytic) = 2.8193975681691352029359769439383
y[1] (numeric) = 2.8193975681691351751577902685151
absolute error = 2.77781866754232e-17
relative error = 9.8525255852660191716899880777258e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4053680173806618552356655921927
y[1] (analytic) = 2.819936246509929045379597418578
y[1] (numeric) = 2.8199362465099290176013776997591
absolute error = 2.77782197188189e-17
relative error = 9.8506552242797636585715477236787e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4063612695878492497458973815506
y[1] (analytic) = 2.8204749177783498934282114603236
y[1] (numeric) = 2.8204749177783498656499587314404
absolute error = 2.77782527288832e-17
relative error = 9.8487855906067604944256000642602e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4073545217950366442561291709085
y[1] (analytic) = 2.8210135819767762197860713566331
y[1] (numeric) = 2.8210135819767761920077856509776
absolute error = 2.77782857056555e-17
relative error = 9.8469166838219719811508332411756e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4083477740022240387663609602664
y[1] (analytic) = 2.8215522391075852975216093533616
y[1] (numeric) = 2.8215522391075852697432907041866
absolute error = 2.77783186491750e-17
relative error = 9.8450485035006355335589479414592e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4093410262094114332765927496243
y[1] (analytic) = 2.822090889173153200874052863711
y[1] (numeric) = 2.8220908891731531730957013042301
absolute error = 2.77783515594809e-17
relative error = 9.8431810492183342627080879037016e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4103342784165988277868245389822
y[1] (analytic) = 2.8226295321758548060593618477742
y[1] (numeric) = 2.8226295321758547782809774111623
absolute error = 2.77783844366119e-17
relative error = 9.8413143205508194827426312154544e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4113275306237862222970563283401
y[1] (analytic) = 2.8231681681180637920754890460878
y[1] (numeric) = 2.8231681681180637642970717654806
absolute error = 2.77784172806072e-17
relative error = 9.8394483170743647389252554031508e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.412320782830973616807288117698
y[1] (analytic) = 2.8237067970021526415069637497985
y[1] (numeric) = 2.8237067970021526137285136582926
absolute error = 2.77784500915059e-17
relative error = 9.8375830383655527994337337538988e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4133140350381610113175199070559
y[1] (analytic) = 2.8242454188304926413287997892512
y[1] (numeric) = 2.8242454188304926135503169199044
absolute error = 2.77784828693468e-17
relative error = 9.8357184840012045216869822482719e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
memory used=560.7MB, alloc=4.4MB, time=69.63
x[1] = 4.4143072872453484058277516964138
y[1] (analytic) = 2.8247840336054538837097284220025
y[1] (numeric) = 2.824784033605453855931212807834
absolute error = 2.77785156141685e-17
relative error = 9.8338546535584140028895696923380e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4153005394525358003379834857717
y[1] (analytic) = 2.8253226413294052668147568004635
y[1] (numeric) = 2.8253226413294052390362084744533
absolute error = 2.77785483260102e-17
relative error = 9.8319915466148314497108466954938e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4162937916597231948482152751296
y[1] (analytic) = 2.8258612420047144956070526985742
y[1] (numeric) = 2.8258612420047144678284716936637
absolute error = 2.77785810049105e-17
relative error = 9.8301291627482379756725021851677e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4172870438669105893584470644875
y[1] (analytic) = 2.8263998356337480826491561761177
y[1] (numeric) = 2.8263998356337480548705425252096
absolute error = 2.77786136509081e-17
relative error = 9.8282675015367931179977742815990e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4182802960740979838686788538454
y[1] (analytic) = 2.8269384222188713489035188584814
y[1] (numeric) = 2.8269384222188713211248725944399
absolute error = 2.77786462640415e-17
relative error = 9.8264065625589283319657457279308e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4192735482812853783789106432033
y[1] (analytic) = 2.8274770017624484245323715088779
y[1] (numeric) = 2.8274770017624483967536926645285
absolute error = 2.77786788443494e-17
relative error = 9.8245463453934881775575817379462e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4202668004884727728891424325612
y[1] (analytic) = 2.8280155742668422496969205692425
y[1] (numeric) = 2.8280155742668422219182091773721
absolute error = 2.77787113918704e-17
relative error = 9.8226868496196238214136306854130e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4212600526956601673993742219191
y[1] (analytic) = 2.8285541397344145753558743452301
y[1] (numeric) = 2.8285541397344145475771304385871
absolute error = 2.77787439066430e-17
relative error = 9.8208280748167927217426953444837e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.422253304902847561909606011277
y[1] (analytic) = 2.8290926981675259640632995099422
y[1] (numeric) = 2.8290926981675259362845231212368
absolute error = 2.77787763887054e-17
relative error = 9.8189700205646876195769902240696e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4232465571100349564198378006349
y[1] (analytic) = 2.8296312495685357907658086002224
y[1] (numeric) = 2.8296312495685357629869997621261
absolute error = 2.77788088380963e-17
relative error = 9.8171126864435190140833019554758e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 9.156
Order of pole = 1.695
x[1] = 4.4242398093172223509300695899928
y[1] (analytic) = 2.8301697939398022435990791785655
y[1] (numeric) = 2.8301697939398022158202379237117
absolute error = 2.77788412548538e-17
relative error = 9.8152560720336259775786933465460e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4252330615244097454403013793507
y[1] (analytic) = 2.8307083312836823246837053329004
y[1] (numeric) = 2.8307083312836822969048316938841
absolute error = 2.77788736390163e-17
relative error = 9.8134001769157939517722224786193e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4262263137315971399505331687086
y[1] (analytic) = 2.8312468616025318509203821857133
y[1] (numeric) = 2.8312468616025318231414761950914
absolute error = 2.77789059906219e-17
relative error = 9.8115450006710423794292568262037e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4272195659387845344607649580665
y[1] (analytic) = 2.8317853848987054547844240831932
y[1] (numeric) = 2.8317853848987054270054857734842
absolute error = 2.77789383097090e-17
relative error = 9.8096905428808363393141286159236e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4282128181459719289709967474244
y[1] (analytic) = 2.8323239011745565851196171342929
y[1] (numeric) = 2.8323239011745565573406465379773
absolute error = 2.77789705963156e-17
relative error = 9.8078368031268389526737522448969e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.433
Order of pole = 0.5842
x[1] = 4.4292060703531593234812285367823
y[1] (analytic) = 2.8328624104324375079314067688154
y[1] (numeric) = 2.8328624104324374801524039183357
absolute error = 2.77790028504797e-17
relative error = 9.8059837809910523719831616017116e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4301993225603467179914603261402
y[1] (analytic) = 2.8334009126746993071794209828487
y[1] (numeric) = 2.8334009126746992794003859106093
absolute error = 2.77790350722394e-17
relative error = 9.8041314760558527291139525704229e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4311925747675341125016921154981
y[1] (analytic) = 2.8339394079036918855693299390901
y[1] (numeric) = 2.8339394079036918577902626774574
absolute error = 2.77790672616327e-17
relative error = 9.8022798879039191839791467927521e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.432185826974721507011923904856
y[1] (analytic) = 2.8344778961217639653440425888178
y[1] (numeric) = 2.8344778961217639375649431701203
absolute error = 2.77790994186975e-17
relative error = 9.8004290161182336138156393639258e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4331790791819089015221556942139
y[1] (analytic) = 2.835016377331263089074240981487
y[1] (numeric) = 2.8350163773312630612951094380152
absolute error = 2.77791315434718e-17
relative error = 9.7985788602821508491784557992245e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4341723313890962960323874835718
y[1] (analytic) = 2.8355548515345356204482529271458
y[1] (numeric) = 2.8355548515345355926690892911526
absolute error = 2.77791636359932e-17
relative error = 9.7967294199792219646706998442881e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4351655835962836905426192729297
y[1] (analytic) = 2.8360933187339267450612636760897
y[1] (numeric) = 2.8360933187339267172820679797902
absolute error = 2.77791956962995e-17
relative error = 9.7948806947934056284839309231076e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 14.84
Order of pole = 3.627
x[1] = 4.4361588358034710850528510622876
y[1] (analytic) = 2.8366317789317804712038672793918
y[1] (numeric) = 2.8366317789317804434246395549632
absolute error = 2.77792277244286e-17
relative error = 9.7930326843090324397048535474147e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 9.728
Order of pole = 1.843
x[1] = 4.4371520880106584795630828516455
y[1] (analytic) = 2.8371702321304396306499582931707
y[1] (numeric) = 2.8371702321304396028706985727525
absolute error = 2.77792597204182e-17
relative error = 9.7911853881106988134893034873604e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.453
Order of pole = 0.7812
x[1] = 4.4381453402178458740733146410034
y[1] (analytic) = 2.8377086783322458794439644886818
y[1] (numeric) = 2.8377086783322458516646728043762
absolute error = 2.77792916843056e-17
relative error = 9.7893388057831962267754790609140e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4391385924250332685835464303613
y[1] (analytic) = 2.8382471175395396986874212295428
y[1] (numeric) = 2.8382471175395396709080976134143
absolute error = 2.77793236161285e-17
relative error = 9.7874929369117928746982138803361e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4401318446322206630937782197192
y[1] (analytic) = 2.8387855497546603953248881766278
y[1] (numeric) = 2.8387855497546603675455326607033
absolute error = 2.77793555159245e-17
relative error = 9.7856477810820570641909027217637e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.098
Order of pole = 0.5623
x[1] = 4.4411250968394080576040100090771
y[1] (analytic) = 2.8393239749799461029292089803943
y[1] (numeric) = 2.8393239749799460751498215966631
absolute error = 2.77793873837312e-17
relative error = 9.7838033378798921264695427963572e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.442118349046595452114241798435
y[1] (analytic) = 2.8398623932177337824861146196334
y[1] (numeric) = 2.8398623932177337547066954000477
memory used=564.5MB, alloc=4.4MB, time=70.11
absolute error = 2.77794192195857e-17
relative error = 9.7819596068913600119867347910238e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4431116012537828466244735877929
y[1] (analytic) = 2.840400804470359223178171044865
y[1] (numeric) = 2.8404008044703591953987200213395
absolute error = 2.77794510235255e-17
relative error = 9.7801165877029979742309891723075e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4441048534609702411347053771508
y[1] (analytic) = 2.8409392087401570431680717838248
y[1] (numeric) = 2.8409392087401570153885889882366
absolute error = 2.77794827955882e-17
relative error = 9.7782742799017124979259824224819e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4450981056681576356449371665087
y[1] (analytic) = 2.8414776060294606903812761657263
y[1] (numeric) = 2.8414776060294606626017616299156
absolute error = 2.77795145358107e-17
relative error = 9.7764326830744973830670243254445e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4460913578753450301551689558666
y[1] (analytic) = 2.8420159963406024432879938202117
y[1] (numeric) = 2.8420159963406024155084475759814
absolute error = 2.77795462442303e-17
relative error = 9.7745917968088206889403215156376e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4470846100825324246654007452245
y[1] (analytic) = 2.8425543796759134116845161061353
y[1] (numeric) = 2.8425543796759133839049381852512
absolute error = 2.77795779208841e-17
relative error = 9.7727516206924131847936081073723e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4480778622897198191756325345824
y[1] (analytic) = 2.8430927560377235374738951245624
y[1] (numeric) = 2.8430927560377235096942855587528
absolute error = 2.77796095658096e-17
relative error = 9.7709121543134791164698173950447e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4490711144969072136858643239403
y[1] (analytic) = 2.8436311254283615954459709695966
y[1] (numeric) = 2.8436311254283615676663297905531
absolute error = 2.77796411790435e-17
relative error = 9.7690733972602737401535501112138e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4500643667040946081960961132982
y[1] (analytic) = 2.8441694878501551940567478698903
y[1] (numeric) = 2.8441694878501551662770751092675
absolute error = 2.77796727606228e-17
relative error = 9.7672353491214900078736735747869e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4510576189112820027063279026561
y[1] (analytic) = 2.8447078433054307762071198729247
y[1] (numeric) = 2.84470784330543074842741556234
absolute error = 2.77797043105847e-17
relative error = 9.7653980094862229780097525325147e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.452050871118469397216559692014
y[1] (analytic) = 2.8452461917965136200209467233873
y[1] (numeric) = 2.8452461917965135922412108944212
absolute error = 2.77797358289661e-17
relative error = 9.7635613779437936808601762641868e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 8.127
Order of pole = 1.432
x[1] = 4.4530441233256567917267914813719
y[1] (analytic) = 2.8457845333257278396224805862132
y[1] (numeric) = 2.8457845333257278118427132704095
absolute error = 2.77797673158037e-17
relative error = 9.7617254540837840223279865307898e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 10.47
Order of pole = 2.046
x[1] = 4.4540373755328441862370232707298
y[1] (analytic) = 2.8463228678953963859131442640974
y[1] (numeric) = 2.8463228678953963581333454929629
absolute error = 2.77797987711345e-17
relative error = 9.7598902374962121802174708713572e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4550306277400315807472550600877
y[1] (analytic) = 2.8468611955078410473476615585244
y[1] (numeric) = 2.8468611955078410195678313635294
absolute error = 2.77798301949950e-17
relative error = 9.7580557277712511582890152018071e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4560238799472189752574868494456
y[1] (analytic) = 2.8473995161653824507095404226076
y[1] (numeric) = 2.8473995161653824229296788351852
absolute error = 2.77798615874224e-17
relative error = 9.7562219244996500548889251909309e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4570171321544063697677186388035
y[1] (analytic) = 2.8479378298703400618859095532679
y[1] (numeric) = 2.847937829870340034106016604815
absolute error = 2.77798929484529e-17
relative error = 9.7543888272721365731796471540631e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.327
Order of pole = 0.5248
x[1] = 4.4580103843615937642779504281614
y[1] (analytic) = 2.8484761366250321866417090695346
y[1] (numeric) = 2.8484761366250321588617847914113
absolute error = 2.77799242781233e-17
relative error = 9.7525564356799787230726761427783e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4590036365687811587881822175193
y[1] (analytic) = 2.8490144364317759713932359229867
y[1] (numeric) = 2.8490144364317759436132803465164
absolute error = 2.77799555764703e-17
relative error = 9.7507247493147385896841983970354e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4609901409831559478086457962351
y[1] (analytic) = 2.8500910152106813144422043595608
y[1] (numeric) = 2.8500910152106812866621862802209
absolute error = 2.77800180793399e-17
relative error = 9.7470634906325529579068242784450e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.461983393190343342318877585593
y[1] (analytic) = 2.8506292941874713757819118526766
y[1] (numeric) = 2.8506292941874713480018625687412
absolute error = 2.77800492839354e-17
relative error = 9.7452339175001993753347316696495e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4629766453975307368291093749509
y[1] (analytic) = 2.8511675662255701047444627626224
y[1] (numeric) = 2.8511675662255700769643823052692
absolute error = 2.77800804573532e-17
relative error = 9.7434050479639116036307538551615e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4639698976047181313393411643088
y[1] (analytic) = 2.8517058313272888625835801120626
y[1] (numeric) = 2.8517058313272888348034685124329
absolute error = 2.77801115996297e-17
relative error = 9.7415768816167877670006217003112e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4649631498119055258495729536667
y[1] (analytic) = 2.8522440894949378558321016762987
y[1] (numeric) = 2.8522440894949378280519589654975
absolute error = 2.77801427108012e-17
relative error = 9.7397494180522182183711679591518e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.514
Order of pole = 0.7863
x[1] = 4.4659564020190929203598047430246
y[1] (analytic) = 2.8527823407308261370710265441669
y[1] (numeric) = 2.8527823407308261092908527532631
absolute error = 2.77801737909038e-17
relative error = 9.7379226568638501882999474955585e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4669496542262803148700365323825
y[1] (analytic) = 2.8533205850372616056979215522132
y[1] (numeric) = 2.8533205850372615779177167122393
absolute error = 2.77802048399739e-17
relative error = 9.7360965976457627552361586485958e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4679429064334677093802683217404
y[1] (analytic) = 2.8538588224165510086946882314204
y[1] (numeric) = 2.8538588224165509809144523733728
absolute error = 2.77802358580476e-17
relative error = 9.7342712399922561747777767635926e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4689361586406551038905001110983
y[1] (analytic) = 2.8543970528709999413946909050204
y[1] (numeric) = 2.8543970528709999136144240598595
absolute error = 2.77802668451609e-17
relative error = 9.7324465834979217166548385508449e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4699294108478424984007319004562
y[1] (analytic) = 2.8549352764029128482492465751772
y[1] (numeric) = 2.8549352764029128204689487738275
absolute error = 2.77802978013497e-17
relative error = 9.7306226277576413686135000484330e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=568.4MB, alloc=4.4MB, time=70.58
NO POLE
x[1] = 4.4709226630550298929109636898141
y[1] (analytic) = 2.8554734930145930235934772355868
y[1] (numeric) = 2.8554734930145929958131485089366
absolute error = 2.77803287266502e-17
relative error = 9.7287993723667276225081196445479e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.481
Order of pole = 0.7816
x[1] = 4.471915915262217287421195479172
y[1] (analytic) = 2.8560117027083426124115252462948
y[1] (numeric) = 2.8560117027083425846311656251962
absolute error = 2.77803596210986e-17
relative error = 9.7269768169208180053304156407971e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4729091674694046819314272685299
y[1] (analytic) = 2.8565499054864626111011324062954
y[1] (numeric) = 2.856549905486462583320741921565
absolute error = 2.77803904847304e-17
relative error = 9.7251549610156297004379502486979e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4739024196765920764416590578878
y[1] (analytic) = 2.8570881013512528682375833587347
y[1] (numeric) = 2.8570881013512528404571620411532
absolute error = 2.77804213175815e-17
relative error = 9.7233338042473444582193047936238e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.828
Order of pole = 0.8266
x[1] = 4.4748956718837794709518908472457
y[1] (analytic) = 2.8576262903050120853370139628003
y[1] (numeric) = 2.8576262903050120575565618431125
absolute error = 2.77804521196878e-17
relative error = 9.7215133462124681606425599115353e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4758889240909668654621226366036
y[1] (analytic) = 2.8581644723500378176190852656433
y[1] (numeric) = 2.8581644723500377898386023745581
absolute error = 2.77804828910852e-17
relative error = 9.7196935865078304944560864565739e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4768821762981542599723544259615
y[1] (analytic) = 2.8587026474886264747690237069423
y[1] (numeric) = 2.8587026474886264469885100751331
absolute error = 2.77805136318092e-17
relative error = 9.7178745247304447011740081530085e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4778754285053416544825862153194
y[1] (analytic) = 2.8592408157230733216990281879827
y[1] (numeric) = 2.8592408157230732939184838460872
absolute error = 2.77805443418955e-17
relative error = 9.7160561604777172286654948736009e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4788686807125290489928180046773
y[1] (analytic) = 2.8597789770556724793090446363887
y[1] (numeric) = 2.859778977055672451528469615009
absolute error = 2.77805750213797e-17
relative error = 9.7142384933473424364137477661908e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4798619329197164435030497940352
y[1] (analytic) = 2.8603171314887169252469086969128
y[1] (numeric) = 2.8603171314887168974663030266153
absolute error = 2.77806056702975e-17
relative error = 9.7124215229373722254604603619025e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4808551851269038380132815833931
y[1] (analytic) = 2.8608552790244984946678571779541
y[1] (numeric) = 2.8608552790244984668872208892697
absolute error = 2.77806362886844e-17
relative error = 9.7106052488461108168797648675149e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.397
Order of pole = 1.072
x[1] = 4.481848437334091232523513372751
y[1] (analytic) = 2.8613934196653078809934088827453
y[1] (numeric) = 2.8613934196653078532127420061696
absolute error = 2.77806668765757e-17
relative error = 9.7087896706721144930383442081887e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 9.522
Order of pole = 1.767
x[1] = 4.4828416895412786270337451621089
y[1] (analytic) = 2.8619315534134346366696154534174
y[1] (numeric) = 2.8619315534134346088889180194104
absolute error = 2.77806974340070e-17
relative error = 9.7069747880143660463553242382058e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4838349417484660215439769514668
y[1] (analytic) = 2.8624696802711671739246828554188
y[1] (numeric) = 2.8624696802711671461439548944051
absolute error = 2.77807279610137e-17
relative error = 9.7051606004720996826365694980366e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4848281939556534160542087408247
y[1] (analytic) = 2.8630078002407927655259641290406
y[1] (numeric) = 2.8630078002407927377452056714094
absolute error = 2.77807584576312e-17
relative error = 9.7033471076448706200143172697917e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4858214461628408105644405301826
y[1] (analytic) = 2.8635459133245975455363240340679
y[1] (numeric) = 2.8635459133245975177555351101735
absolute error = 2.77807889238944e-17
relative error = 9.7015343091323801572722302998816e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4868146983700282050746723195405
y[1] (analytic) = 2.8640840195248665100698762128536
y[1] (numeric) = 2.8640840195248664822890568530147
absolute error = 2.77808193598389e-17
relative error = 9.6997222045348944974014339132227e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 9.463
Order of pole = 1.749
x[1] = 4.4878079505772155995849041088984
y[1] (analytic) = 2.86462211884388351804709349638
y[1] (numeric) = 2.8646221188438834902662437308802
absolute error = 2.77808497654998e-17
relative error = 9.6979107934528252923006125788941e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4888012027844029940951358982563
y[1] (analytic) = 2.865160211283931291949291977154
y[1] (numeric) = 2.8651602112839312641684118362416
absolute error = 2.77808801409124e-17
relative error = 9.6961000754869737993500832069615e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4897944549915903886053676876142
y[1] (analytic) = 2.8656982968472914185724894720532
y[1] (numeric) = 2.8656982968472913907915789859417
absolute error = 2.77809104861115e-17
relative error = 9.6942900502382862258157382220976e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.022
Order of pole = 1.005
x[1] = 4.4907877071987777831155994769721
y[1] (analytic) = 2.8662363755362443497806389975204
y[1] (numeric) = 2.8662363755362443219996981963882
absolute error = 2.77809408011322e-17
relative error = 9.6924807173081326832249552084598e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.49178095940596517762583126633
y[1] (analytic) = 2.8667744473530694032582378787776
y[1] (numeric) = 2.8667744473530693754772667927678
absolute error = 2.77809710860098e-17
relative error = 9.6906720762982718859326082497307e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4927742116131525721360630556879
y[1] (analytic) = 2.8673125123000447632623131140128
y[1] (numeric) = 2.8673125123000447354813117732338
absolute error = 2.77810013407790e-17
relative error = 9.6888641268105717584196151725578e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4937674638203399666462948450458
y[1] (analytic) = 2.8678505703794474813737836137722
y[1] (numeric) = 2.8678505703794474535927520482973
absolute error = 2.77810315654749e-17
relative error = 9.6870568684473580048987833075385e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4947607160275273611565266344037
y[1] (analytic) = 2.8683886215935534772481999350682
y[1] (numeric) = 2.8683886215935534494671381749362
absolute error = 2.77810617601320e-17
relative error = 9.6852503008110650310428832003691e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4957539682347147556667584237616
y[1] (analytic) = 2.8689266659446375393658621289996
y[1] (numeric) = 2.868926665944637511584770204214
absolute error = 2.77810919247856e-17
relative error = 9.6834444235047238083356230905911e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4967472204419021501769902131195
y[1] (analytic) = 2.8694647034349733257813163199564
y[1] (numeric) = 2.8694647034349732980001942604863
absolute error = 2.77811220594701e-17
relative error = 9.6816392361313688487092902971861e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4977404726490895446872220024774
y[1] (analytic) = 2.8700027340668333648722306337746
y[1] (numeric) = 2.8700027340668333370910784695541
absolute error = 2.77811521642205e-17
relative error = 9.6798347382945608277712067463004e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=572.2MB, alloc=4.4MB, time=71.04
NO POLE
x[1] = 4.4987337248562769391974537918353
y[1] (analytic) = 2.8705407578424890560876510914794
y[1] (numeric) = 2.8705407578424890283064688524081
absolute error = 2.77811822390713e-17
relative error = 9.6780309295980028676303815080143e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.4997269770634643337076855811932
y[1] (analytic) = 2.8710787747642106706956380845512
y[1] (numeric) = 2.8710787747642106429144258004939
absolute error = 2.77812122840573e-17
relative error = 9.6762278096458190233504138616447e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 36.81
Order of pole = 19.32
x[1] = 4.5007202292706517282179173705511
y[1] (analytic) = 2.8716167848342673525302840469264
y[1] (numeric) = 2.8716167848342673247490417477134
absolute error = 2.77812422992130e-17
relative error = 9.6744253780423449261358059096253e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.501713481477839122728149159909
y[1] (analytic) = 2.8721547880549271187381129382392
y[1] (numeric) = 2.8721547880549270909568406536664
absolute error = 2.77812722845728e-17
relative error = 9.6726236343921971983651538055417e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5027067336850265172383809492669
y[1] (analytic) = 2.872692784428456860523862152094
y[1] (numeric) = 2.8726927844284568327425599119224
absolute error = 2.77813022401716e-17
relative error = 9.6708225783004820328250225462820e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.27
Order of pole = 0.5715
x[1] = 4.5036999858922139117486127386248
y[1] (analytic) = 2.873230773957122343895647462448
y[1] (numeric) = 2.8732307739571223161143152964045
absolute error = 2.77813321660435e-17
relative error = 9.6690222093723422611367360603739e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5046932380994013062588445279827
y[1] (analytic) = 2.8737687566431882104095116204776
y[1] (numeric) = 2.8737687566431881826281495582544
absolute error = 2.77813620622232e-17
relative error = 9.6672225272134444637587494199843e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.655
Order of pole = 0.5978
x[1] = 4.5056864903065887007690763173406
y[1] (analytic) = 2.8743067324889179779133572135856
y[1] (numeric) = 2.874306732488917950131965284841
absolute error = 2.77813919287446e-17
relative error = 9.6654235314294913850333329174763e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5066797425137760952793081066985
y[1] (analytic) = 2.8748447014965740412902643975078
y[1] (numeric) = 2.8748447014965740135088426318653
absolute error = 2.77814217656425e-17
relative error = 9.6636252216268132148339815366121e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5076729947209634897895398960564
y[1] (analytic) = 2.8753826636684176732011941117596
y[1] (numeric) = 2.8753826636684176454197425388086
absolute error = 2.77814515729510e-17
relative error = 9.6618275974118105331523013218077e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.581
Order of pole = 0.6776
x[1] = 4.5086662469281508842997716854143
y[1] (analytic) = 2.8759206190067090248270773879676
y[1] (numeric) = 2.8759206190067089970455960372633
absolute error = 2.77814813507043e-17
relative error = 9.6600306583912323953064312641382e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5096594991353382788100034747722
y[1] (analytic) = 2.8764585675137071266102913599181
y[1] (numeric) = 2.8764585675137070988287802609816
absolute error = 2.77815110989365e-17
relative error = 9.6582344041721064554113870448441e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5106527513425256733202352641301
y[1] (analytic) = 2.8769965091916698889955225834545
y[1] (numeric) = 2.8769965091916698612139817657727
absolute error = 2.77815408176818e-17
relative error = 9.6564388343618082021544151741831e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.511646003549713067830467053488
y[1] (analytic) = 2.8775344440428541031700182736494
y[1] (numeric) = 2.877534444042854075388447766675
absolute error = 2.77815705069744e-17
relative error = 9.6546439485680258610166868328928e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5126392557569004623406988428459
y[1] (analytic) = 2.878072372069515441803226065977
y[1] (numeric) = 2.8780723720695154140216258991287
absolute error = 2.77816001668483e-17
relative error = 9.6528497463986905904042833897572e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5136325079640878568509306322038
y[1] (analytic) = 2.8786102932739084597858229075092
y[1] (numeric) = 2.8786102932739084320041931101718
absolute error = 2.77816297973374e-17
relative error = 9.6510562274620109730252764117865e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.885
Order of pole = 1.36
x[1] = 4.5146257601712752513611624215617
y[1] (analytic) = 2.8791482076582865949681336834569
y[1] (numeric) = 2.8791482076582865671864742849811
absolute error = 2.77816593984758e-17
relative error = 9.6492633913665769336155018417924e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5156190123784626458713942109196
y[1] (analytic) = 2.87968611522490216889794018368
y[1] (numeric) = 2.8796861152249021411162512133825
absolute error = 2.77816889702975e-17
relative error = 9.6474712377212551841803752400111e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.804
Order of pole = 0.9654
x[1] = 4.5166122645856500403816260002775
y[1] (analytic) = 2.8802240159760063875576810130896
y[1] (numeric) = 2.8802240159760063597759625002535
absolute error = 2.77817185128361e-17
relative error = 9.6456797661350847864228638756589e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 9.489
Order of pole = 1.744
x[1] = 4.5176055167928374348918577896354
y[1] (analytic) = 2.88076190991384934210104304917
y[1] (numeric) = 2.8807619099138493143192950230446
absolute error = 2.77817480261254e-17
relative error = 9.6438889762174852485485809402603e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5185987690000248294020895789933
y[1] (analytic) = 2.8812997970406800095889450491484
y[1] (numeric) = 2.8812997970406799818071675389489
absolute error = 2.77817775101995e-17
relative error = 9.6420988675782908562115721164940e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.12
Order of pole = 0.6344
x[1] = 4.5195920212072122239123213683512
y[1] (analytic) = 2.8818376773587462537249140086456
y[1] (numeric) = 2.8818376773587462259431070435537
absolute error = 2.77818069650919e-17
relative error = 9.6403094398274379642351321452070e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5205852734143996184225531577091
y[1] (analytic) = 2.8823755508702948255898548729473
y[1] (numeric) = 2.882375550870294797808018482111
absolute error = 2.77818363908363e-17
relative error = 9.6385206925752424297767243382723e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.521578525621587012932784947067
y[1] (analytic) = 2.8829134175775713643762142013391
y[1] (numeric) = 2.8829134175775713365943484138727
absolute error = 2.77818657874664e-17
relative error = 9.6367326254323298636201367690175e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5225717778287744074430167364249
y[1] (analytic) = 2.883451277482820398121538384256
y[1] (numeric) = 2.8834512774828203703396432292402
absolute error = 2.77818951550158e-17
relative error = 9.6349452380096006402209043515060e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5235650300359618019532485257828
y[1] (analytic) = 2.8839891305882853444414270123058
y[1] (numeric) = 2.8839891305882853166595025187876
absolute error = 2.77819244935182e-17
relative error = 9.6331585299182989695138493153387e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.288
Order of pole = 1.045
x[1] = 4.5245582822431491964634803151407
y[1] (analytic) = 2.8845269768962085112618819955319
y[1] (numeric) = 2.884526976896208483479928192525
absolute error = 2.77819538030069e-17
relative error = 9.6313725007698392173665125020075e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5255515344503365909737121044986
y[1] (analytic) = 2.8850648164088310975510530305943
y[1] (numeric) = 2.8850648164088310697690699470789
absolute error = 2.77819830835154e-17
relative error = 9.6295871501760136942552570353810e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.677
Order of pole = 0.9438
memory used=576.0MB, alloc=4.4MB, time=71.51
x[1] = 4.5265447866575239854839438938565
y[1] (analytic) = 2.8856026491283931940503800128543
y[1] (numeric) = 2.8856026491283931662683676777772
absolute error = 2.77820123350771e-17
relative error = 9.6278024777488883183360487295810e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5275380388647113799941756832144
y[1] (analytic) = 2.8861404750571337840051329896618
y[1] (numeric) = 2.8861404750571337562230914319361
absolute error = 2.77820415577257e-17
relative error = 9.6260184831009409336380596433522e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.907
Order of pole = 0.8313
x[1] = 4.5285312910718987745044074725723
y[1] (analytic) = 2.8866782941972907438943502504545
y[1] (numeric) = 2.8866782941972907161122794989604
absolute error = 2.77820707514941e-17
relative error = 9.6242351658446798452686663530660e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5295245432790861690146392619302
y[1] (analytic) = 2.8872161065511008441601751485962
y[1] (numeric) = 2.8872161065511008163780752321804
absolute error = 2.77820999164158e-17
relative error = 9.6224525255931286669867369560442e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5305177954862735635248710512881
y[1] (analytic) = 2.8877539121207997499365922491873
y[1] (numeric) = 2.8877539121207997221544631966634
absolute error = 2.77821290525239e-17
relative error = 9.6206705619594795312644910873337e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.531511047693460958035102840646
y[1] (analytic) = 2.8882917109086220217775633964042
y[1] (numeric) = 2.8882917109086219939954052365523
absolute error = 2.77821581598519e-17
relative error = 9.6188892745573698925643360565588e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5325042999006483525453346300039
y[1] (analytic) = 2.8888295029168011163845642932331
y[1] (numeric) = 2.8888295029168010886023770548003
absolute error = 2.77821872384328e-17
relative error = 9.6171086630005705478181634885529e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.916
Order of pole = 0.6169
x[1] = 4.5334975521078357470555664193618
y[1] (analytic) = 2.8893672881475693873335221857858
y[1] (numeric) = 2.8893672881475693595513058974862
absolute error = 2.77822162882996e-17
relative error = 9.6153287269031585404868351343261e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5344908043150231415657982087197
y[1] (analytic) = 2.8899050666031580858011552436993
y[1] (numeric) = 2.8899050666031580580189099342139
absolute error = 2.77822453094854e-17
relative error = 9.6135494658795514587347940710308e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5354840565222105360760299980776
y[1] (analytic) = 2.8904428382857973612907142274408
y[1] (numeric) = 2.8904428382857973335084399254173
absolute error = 2.77822743020235e-17
relative error = 9.6117708795445416953425468696060e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5364773087293979305862617874355
y[1] (analytic) = 2.8909806031977162623571270326585
y[1] (numeric) = 2.8909806031977162345748237667119
absolute error = 2.77823032659466e-17
relative error = 9.6099929675130193563547233887030e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5374705609365853250964935767934
y[1] (analytic) = 2.8915183613411427373315467010409
y[1] (numeric) = 2.8915183613411427095492144997531
absolute error = 2.77823322012878e-17
relative error = 9.6082157294003179892656928988803e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5384638131437727196067253661513
y[1] (analytic) = 2.8920561127183036350453034864657
y[1] (numeric) = 2.8920561127183036072629423783859
absolute error = 2.77823611080798e-17
relative error = 9.6064391648219375309502407597438e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5394570653509601141169571555092
y[1] (analytic) = 2.8925938573314247055532615645437
y[1] (numeric) = 2.8925938573314246777708715781879
absolute error = 2.77823899863558e-17
relative error = 9.6046632733938552724642725872862e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5404503175581475086271889448671
y[1] (analytic) = 2.8931315951827306008565809729843
y[1] (numeric) = 2.8931315951827305730741621368359
absolute error = 2.77824188361484e-17
relative error = 9.6028880547321451846369646651840e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.541443569765334903137420734225
y[1] (analytic) = 2.8936693262744448756248853695357
y[1] (numeric) = 2.8936693262744448478424377120454
absolute error = 2.77824476574903e-17
relative error = 9.6011135084532197157181840718341e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5424368219725222976476525235829
y[1] (analytic) = 2.8942070506087899879178361935751
y[1] (numeric) = 2.8942070506087899601353597431608
absolute error = 2.77824764504143e-17
relative error = 9.5993396341738294570501126581243e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5434300741797096921578843129408
y[1] (analytic) = 2.8947447681879872999061138167508
y[1] (numeric) = 2.8947447681879872721236086017976
absolute error = 2.77825052149532e-17
relative error = 9.5975664315110282637777223740383e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.369
Order of pole = 0.5768
x[1] = 4.5444233263868970866681161022987
y[1] (analytic) = 2.8952824790142570785918062674047
y[1] (numeric) = 2.8952824790142570508092723162652
absolute error = 2.77825339511395e-17
relative error = 9.5957939000820693365636033195761e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5454165785940844811783478916566
y[1] (analytic) = 2.8958201830898184965282061128327
y[1] (numeric) = 2.895820183089818468745643453827
absolute error = 2.77825626590057e-17
relative error = 9.5940220395045086142882344028223e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 10.09
Order of pole = 1.894
x[1] = 4.5464098308012718756885796810145
y[1] (analytic) = 2.8963578804168896325390160827654
y[1] (numeric) = 2.8963578804168896047564247441808
absolute error = 2.77825913385846e-17
relative error = 9.5922508493963080516048342190583e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5474030830084592701988114703724
y[1] (analytic) = 2.8968955709976874724369640167837
y[1] (numeric) = 2.896895570997687444654344026875
absolute error = 2.77826199899087e-17
relative error = 9.5904803293756281040979352427265e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.024
Order of pole = 0.9962
x[1] = 4.5483963352156466647090432597303
y[1] (analytic) = 2.8974332548344279097418277177127
y[1] (numeric) = 2.8974332548344278819591791047024
absolute error = 2.77826486130103e-17
relative error = 9.5887104790608620376653154115018e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5493895874228340592192750490882
y[1] (analytic) = 2.8979709319293257463978702923692
y[1] (numeric) = 2.8979709319293257186151930844474
absolute error = 2.77826772079218e-17
relative error = 9.5869412980707392135321052267736e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5503828396300214537295068384461
y[1] (analytic) = 2.8985086022845946934906865603685
y[1] (numeric) = 2.8985086022845946657079807856928
absolute error = 2.77827057746757e-17
relative error = 9.5851727860243247568275242056316e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.551376091837208848239738627804
y[1] (analytic) = 2.8990462659024473719634611110304
y[1] (numeric) = 2.899046265902447344180726797726
absolute error = 2.77827343133044e-17
relative error = 9.5834049425409502373506534657067e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5523693440443962427499704171619
y[1] (analytic) = 2.8995839227850953133326385877563
y[1] (numeric) = 2.8995839227850952855498757639161
absolute error = 2.77827628238402e-17
relative error = 9.5816377672402134028968798568813e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5533625962515836372602022065198
y[1] (analytic) = 2.9001215729347489604030067785862
y[1] (numeric) = 2.900121572934748932620215472271
absolute error = 2.77827913063152e-17
relative error = 9.5798712597419434315912793235421e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
memory used=579.8MB, alloc=4.4MB, time=71.97
x[1] = 4.5543558484587710317704339958777
y[1] (analytic) = 2.900659216353617667982193090978
y[1] (numeric) = 2.9006592163536176401993733302163
absolute error = 2.77828197607617e-17
relative error = 9.5781054196663385974983089702135e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5553491006659584262806657852356
y[1] (analytic) = 2.9011968530439097035945749881866
y[1] (numeric) = 2.9011968530439096758117268009747
absolute error = 2.77828481872119e-17
relative error = 9.5763402466338625034519530959650e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5563423528731458207908975745935
y[1] (analytic) = 2.901734483007832248194604963961
y[1] (numeric) = 2.901734483007832220411728378263
absolute error = 2.77828765856980e-17
relative error = 9.5745757402652782778555134907781e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5573356050803332153011293639514
y[1] (analytic) = 2.9022721062475913968795506316117
y[1] (numeric) = 2.9022721062475913690966456753598
absolute error = 2.77829049562519e-17
relative error = 9.5728119001815449104443364998119e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5583288572875206098113611533093
y[1] (analytic) = 2.9028097227653921596016505028433
y[1] (numeric) = 2.9028097227653921318187172039375
absolute error = 2.77829332989058e-17
relative error = 9.5710487260040237477030037803905e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5593221094947080043215929426672
y[1] (analytic) = 2.9033473325634384618796860310821
y[1] (numeric) = 2.9033473325634384340967244173905
absolute error = 2.77829616136916e-17
relative error = 9.5692862173542714428517539814731e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5603153617018953988318247320251
y[1] (analytic) = 2.9038849356439331455099704933749
y[1] (numeric) = 2.9038849356439331177269805927335
absolute error = 2.77829899006414e-17
relative error = 9.5675243738542119387388007539908e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.07
Order of pole = 0.85
x[1] = 4.561308613909082793342056521383
y[1] (analytic) = 2.9044225320090779692767552842712
y[1] (numeric) = 2.9044225320090779414937371244843
absolute error = 2.77830181597869e-17
relative error = 9.5657631951259295269803843913713e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5623018661162701878522883107409
y[1] (analytic) = 2.904960121661073609662054194448
y[1] (numeric) = 2.9049601216610735818790078032878
absolute error = 2.77830463911602e-17
relative error = 9.5640026807919440712319873062293e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5632951183234575823625201000988
y[1] (analytic) = 2.9054977046021196615548862461748
y[1] (numeric) = 2.9054977046021196337718116513817
absolute error = 2.77830745947931e-17
relative error = 9.5622428304749696622746922565635e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 8.096
Order of pole = 1.391
x[1] = 4.5642883705306449768727518894567
y[1] (analytic) = 2.906035280834414638959937657065
y[1] (numeric) = 2.9060352808344146111768348863477
absolute error = 2.77831027707173e-17
relative error = 9.5604836437979832413039103225002e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5652816227378323713829836788146
y[1] (analytic) = 2.906572850360155975705643502902
y[1] (numeric) = 2.9065728503601559479225125839374
absolute error = 2.77831309189646e-17
relative error = 9.5587251203842931470876259818155e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5662748749450197658932154681725
y[1] (analytic) = 2.9071104131815400261516896496744
y[1] (numeric) = 2.9071104131815399983685306101076
absolute error = 2.77831590395668e-17
relative error = 9.5569672598575043918411456912258e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5672681271522071604034472575304
y[1] (analytic) = 2.9076479693007620658959355243022
y[1] (numeric) = 2.9076479693007620381127483917467
absolute error = 2.77831871325555e-17
relative error = 9.5552100618414495835864151627888e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.508
Order of pole = 0.9121
x[1] = 4.5682613793593945549136790468883
y[1] (analytic) = 2.9081855187200162924807582928827
y[1] (numeric) = 2.9081855187200162646975430949204
absolute error = 2.77832151979623e-17
relative error = 9.5534535259602574679525199637847e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5692546315665819494239108362462
y[1] (analytic) = 2.9087230614414958260988190146332
y[1] (numeric) = 2.9087230614414957983155757788144
absolute error = 2.77832432358188e-17
relative error = 9.5516976518383526353028342613910e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5702478837737693439341426256041
y[1] (analytic) = 2.9092605974673927102982513390566
y[1] (numeric) = 2.9092605974673926825149800929001
absolute error = 2.77832712461565e-17
relative error = 9.5499424391004208552158661137516e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.328
Order of pole = 0.8853
x[1] = 4.571241135980956738444374414962
y[1] (analytic) = 2.9097981267998979126872733132069
y[1] (numeric) = 2.9097981267998978849039740841999
absolute error = 2.77832992290070e-17
relative error = 9.5481878873714775493486070158550e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5722343881881441329546062043199
y[1] (analytic) = 2.9103356494412013256382228652808
y[1] (numeric) = 2.910335649441201297854895680879
absolute error = 2.77833271844018e-17
relative error = 9.5464339962767987472516022730533e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5732276403953315274648379936778
y[1] (analytic) = 2.9108731653934917669910175301148
y[1] (numeric) = 2.9108731653934917392076624177428
absolute error = 2.77833551123720e-17
relative error = 9.5446807654418177647534571983299e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5742208926025189219750697830357
y[1] (analytic) = 2.9114106746589569807560389815206
y[1] (numeric) = 2.9114106746589569529726559685713
absolute error = 2.77833830129493e-17
relative error = 9.5429281944924685157575830888168e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5752141448097063164853015723936
y[1] (analytic) = 2.9119481772397836378164429357408
y[1] (numeric) = 2.9119481772397836100330320495756
absolute error = 2.77834108861652e-17
relative error = 9.5411762830549103009676006889897e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 133.2
Order of pole = 241
x[1] = 4.5762073970168937109955333617515
y[1] (analytic) = 2.9124856731381573366298949896659
y[1] (numeric) = 2.9124856731381573088464562576153
absolute error = 2.77834387320506e-17
relative error = 9.5394250307553902411145976426854e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 8.897
Order of pole = 1.572
x[1] = 4.5772006492240811055057651511094
y[1] (analytic) = 2.913023162356262603929732956808
y[1] (numeric) = 2.9130231623562625761462664061711
absolute error = 2.77834665506369e-17
relative error = 9.5376744372206207914668586819726e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5781939014312685000159969404673
y[1] (analytic) = 2.9135606448962828954255562633787
y[1] (numeric) = 2.9135606448962828676420619214234
absolute error = 2.77834943419553e-17
relative error = 9.5359245020775390377350379248937e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5791871536384558945262287298252
y[1] (analytic) = 2.91409812076040059650324296618
y[1] (numeric) = 2.9140981207604005687197208601429
absolute error = 2.77835221060371e-17
relative error = 9.5341752249534094177237198815548e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.749
Order of pole = 0.8051
x[1] = 4.5801804058456432890364605191831
y[1] (analytic) = 2.9146355899507970229243949533722
y[1] (numeric) = 2.9146355899507969951408451104587
absolute error = 2.77835498429135e-17
relative error = 9.5324266054757547813186866336680e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.581173658052830683546692308541
y[1] (analytic) = 2.9151730524696524215252118885418
y[1] (numeric) = 2.9151730524696523937416343359265
absolute error = 2.77835775526153e-17
relative error = 9.5306786432722532234798406685291e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
memory used=583.6MB, alloc=4.4MB, time=72.45
x[1] = 4.5821669102600180780569240978989
y[1] (analytic) = 2.915710508319145970914794457853
y[1] (numeric) = 2.9157105083191459431311892226793
absolute error = 2.77836052351737e-17
relative error = 9.5289313379710122978926513753434e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5831601624672054725671558872568
y[1] (analytic) = 2.9162479575014557821728774794233
y[1] (numeric) = 2.9162479575014557543892445888034
absolute error = 2.77836328906199e-17
relative error = 9.5271846892004314397781282432149e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5841534146743928670773876766147
y[1] (analytic) = 2.9167854000187588995469934334276
y[1] (numeric) = 2.916785400018758871763332914443
absolute error = 2.77836605189846e-17
relative error = 9.5254386965890302565110351688399e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5851466668815802615876194659726
y[1] (analytic) = 2.9173228358732313011490669707975
y[1] (numeric) = 2.9173228358732312733653788504987
absolute error = 2.77836881202988e-17
relative error = 9.5236933597657226220926793175978e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5861399190887676560978512553305
y[1] (analytic) = 2.9178602650670478996514409577414
y[1] (numeric) = 2.917860265067047871867725263148
absolute error = 2.77837156945934e-17
relative error = 9.5219486783596792084651693819763e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5871331712959550506080830446884
y[1] (analytic) = 2.9183976876023825429823346126787
y[1] (numeric) = 2.9183976876023825151985913707793
absolute error = 2.77837432418994e-17
relative error = 9.5202046520003957610098495349555e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5881264235031424451183148340463
y[1] (analytic) = 2.9189351034814080150207342915424
y[1] (numeric) = 2.9189351034814079872369635292948
absolute error = 2.77837707622476e-17
relative error = 9.5184612803175900032987447599677e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.162
Order of pole = 0.8595
x[1] = 4.5891196757103298396285466234042
y[1] (analytic) = 2.9194725127062960362907174767722
y[1] (numeric) = 2.9194725127062960085069192211038
absolute error = 2.77837982556684e-17
relative error = 9.5167185629411329084986380298582e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5901129279175172341387784127621
y[1] (analytic) = 2.9200099152792172646552105246852
y[1] (numeric) = 2.9200099152792172368713848024924
absolute error = 2.77838257221928e-17
relative error = 9.5149764995013910041982208457699e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.235
Order of pole = 0.7418
x[1] = 4.59110618012470462864901020212
y[1] (analytic) = 2.920547311202341296009180725276
y[1] (numeric) = 2.9205473112023412682253275634243
absolute error = 2.77838531618517e-17
relative error = 9.5132350896289862166606950651486e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5920994323318920231592419914779
y[1] (analytic) = 2.9210847004778366649722632278686
y[1] (numeric) = 2.9210847004778366371883826531931
absolute error = 2.77838805746755e-17
relative error = 9.5114943329546586817692634692285e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5930926845390794176694737808358
y[1] (analytic) = 2.9216220831078708455808233854111
y[1] (numeric) = 2.9216220831078708177969154247163
absolute error = 2.77839079606948e-17
relative error = 9.5097542291095062105745133504844e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5940859367462668121797055701937
y[1] (analytic) = 2.9221594590946102519794550695702
y[1] (numeric) = 2.92215945909461022419551974963
absolute error = 2.77839353199402e-17
relative error = 9.5080147777249154992315096860951e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5950791889534542066899373595516
y[1] (analytic) = 2.9226968284402202391119155081552
y[1] (numeric) = 2.9226968284402202113279528557128
absolute error = 2.77839626524424e-17
relative error = 9.5062759784325960597752918936638e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5960724411606416012001691489095
y[1] (analytic) = 2.9232341911468651034114971957716
y[1] (numeric) = 2.9232341911468650756275072375398
absolute error = 2.77839899582318e-17
relative error = 9.5045378308644430700665700871899e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5970656933678289957104009382674
y[1] (analytic) = 2.9237715472167080834908374279766
y[1] (numeric) = 2.9237715472167080557068201906379
absolute error = 2.77840172373387e-17
relative error = 9.5028003346526055893933170206514e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5980589455750163902206327276253
y[1] (analytic) = 2.92430889665191136083116600858
y[1] (numeric) = 2.9243088966519113330471215187865
absolute error = 2.77840444897935e-17
relative error = 9.5010634894295546988831758333790e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.5990521977822037847308645169832
y[1] (analytic) = 2.9248462394546360604709916791085
y[1] (numeric) = 2.9248462394546360326869199634816
absolute error = 2.77840717156269e-17
relative error = 9.4993272948281515668266097462988e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6000454499893911792410963063411
y[1] (analytic) = 2.9253835756270422516942278188242
y[1] (numeric) = 2.9253835756270422239101289039551
absolute error = 2.77840989148691e-17
relative error = 9.4975917504813736034959575368070e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.246
Order of pole = 0.8697
x[1] = 4.601038702196578573751328095699
y[1] (analytic) = 2.9259209051712889487177579630664
y[1] (numeric) = 2.9259209051712889209336318755163
absolute error = 2.77841260875501e-17
relative error = 9.4958568560224168677442789164384e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6020319544037659682615598850569
y[1] (analytic) = 2.9264582280895341113784416870579
y[1] (numeric) = 2.9264582280895340835942884533574
absolute error = 2.77841532337005e-17
relative error = 9.4941226110849692157979221146524e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6030252066109533627717916744148
y[1] (analytic) = 2.9269955443839346458195614016937
y[1] (numeric) = 2.9269955443839346180353810483433
absolute error = 2.77841803533504e-17
relative error = 9.4923890153028340194248724850313e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6040184588181407572820234637727
y[1] (analytic) = 2.927532854056646405176710607212
y[1] (numeric) = 2.927532854056646377392503160682
absolute error = 2.77842074465300e-17
relative error = 9.4906560683101349922413874406184e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.515
Order of pole = 0.5308
x[1] = 4.6050117110253281517922552531306
y[1] (analytic) = 2.9280701571098241902631241500198
y[1] (numeric) = 2.9280701571098241624788896367504
absolute error = 2.77842345132694e-17
relative error = 9.4889237697412475730237962239466e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6060049632325155463024870424885
y[1] (analytic) = 2.9286074535456217502544510273282
y[1] (numeric) = 2.9286074535456217224701894737295
absolute error = 2.77842615535987e-17
relative error = 9.4871921192308328223410549929781e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6079914676468903353229506212043
y[1] (analytic) = 2.9296820265736859375712505424445
y[1] (numeric) = 2.9296820265736859097869349872971
absolute error = 2.77843155551474e-17
relative error = 9.4837307609254919962925525335986e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.991
Order of pole = 0.5531
x[1] = 4.6089847198540777298331824105622
y[1] (analytic) = 2.9302193031702548112152537160915
y[1] (numeric) = 2.9302193031702547834309111996649
absolute error = 2.77843425164266e-17
relative error = 9.4820010524011771213427845371461e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.789
Order of pole = 0.6042
x[1] = 4.6099779720612651243434141999201
y[1] (analytic) = 2.9307565731580479537668834357318
y[1] (numeric) = 2.9307565731580479259825139843161
absolute error = 2.77843694514157e-17
relative error = 9.4802719904766933404235547090620e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=587.4MB, alloc=4.4MB, time=72.92
NO POLE
x[1] = 4.610971224268452518853645989278
y[1] (analytic) = 2.9312938365392138664659787431757
y[1] (numeric) = 2.9312938365392138386815823830309
absolute error = 2.77843963601448e-17
relative error = 9.4785435747881257000576706388783e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 9.609
Order of pole = 1.736
x[1] = 4.6119644764756399133638777786359
y[1] (analytic) = 2.9318310933159000030117535854399
y[1] (numeric) = 2.9318310933158999752273303427963
absolute error = 2.77844232426436e-17
relative error = 9.4768158049717067580972011527610e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6129577286828273078741095679938
y[1] (analytic) = 2.9323683434902527702436826523733
y[1] (numeric) = 2.9323683434902527424592325534315
absolute error = 2.77844500989418e-17
relative error = 9.4750886806639528388879271639339e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 54.77
Order of pole = 40.63
x[1] = 4.6139509808900147023843413573517
y[1] (analytic) = 2.9329055870644175288218340970663
y[1] (numeric) = 2.9329055870644175010373571679971
absolute error = 2.77844769290692e-17
relative error = 9.4733622015016978510549956770835e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.973
Order of pole = 1.15
x[1] = 4.6149442330972020968945731467096
y[1] (analytic) = 2.9334428240405385939066496781466
y[1] (numeric) = 2.9334428240405385661221459450907
absolute error = 2.77845037330559e-17
relative error = 9.4716363671221611577869908616876e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6159374853043894914048049360675
y[1] (analytic) = 2.9339800544207592358381728624492
y[1] (numeric) = 2.933980054420759208053642351518
absolute error = 2.77845305109312e-17
relative error = 9.4699111771625722884487285116281e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6169307375115768859150367254254
y[1] (analytic) = 2.9345172782072216808147254259401
y[1] (numeric) = 2.9345172782072216530301681632151
absolute error = 2.77845572627250e-17
relative error = 9.4681866312606479913193598921165e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6179239897187642804252685147833
y[1] (analytic) = 2.935054495402067111571033090155
y[1] (numeric) = 2.9350544954020670837864491016883
absolute error = 2.77845839884667e-17
relative error = 9.4664627290542169894989741059837e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.162
Order of pole = 0.5625
x[1] = 4.6189172419259516749355003041412
y[1] (analytic) = 2.9355917060074356680558007308119
y[1] (numeric) = 2.9355917060074356402711900426257
absolute error = 2.77846106881862e-17
relative error = 9.4647394701815605071971458407459e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6199104941331390694457320934991
y[1] (analytic) = 2.9361289100254664481087376946394
y[1] (numeric) = 2.9361289100254664203241003327264
absolute error = 2.77846373619130e-17
relative error = 9.4630168542811053116630155101500e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.620903746340326463955963882857
y[1] (analytic) = 2.9366661074582975081370337598589
y[1] (numeric) = 2.9366661074582974803523697501826
absolute error = 2.77846640096763e-17
relative error = 9.4612948809914576142489397400963e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6218969985475138584661956722149
y[1] (analytic) = 2.9372032983080658637912862751491
y[1] (numeric) = 2.9372032983080658360065956436432
absolute error = 2.77846906315059e-17
relative error = 9.4595735499517093022264890384323e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.344
Order of pole = 0.7518
x[1] = 4.6228902507547012529764274615728
y[1] (analytic) = 2.9377404825769074906408790113108
y[1] (numeric) = 2.9377404825769074628561617838796
absolute error = 2.77847172274312e-17
relative error = 9.4578528608010970790797647810432e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6238835029618886474866592509307
y[1] (analytic) = 2.938277660266957324848813259249
y[1] (numeric) = 2.9382776602669572970640694617674
absolute error = 2.77847437974816e-17
relative error = 9.4561328131791384483311949334843e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6248767551690760419968910402886
y[1] (analytic) = 2.9388148313803492638459917072789
y[1] (numeric) = 2.9388148313803492360612213655926
absolute error = 2.77847703416863e-17
relative error = 9.4544134067255633843152663007095e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6258700073762634365071228296465
y[1] (analytic) = 2.9393519959192161670049556301604
y[1] (numeric) = 2.9393519959192161392201587700856
absolute error = 2.77847968600748e-17
relative error = 9.4526946410804842256252853081505e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6268632595834508310173546190044
y[1] (analytic) = 2.939889153885689856313075921658
y[1] (numeric) = 2.9398891538856898285282525689816
absolute error = 2.77848233526764e-17
relative error = 9.4509765158842252334498972373451e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 8.573
Order of pole = 1.479
x[1] = 4.6278565117906382255275864083623
y[1] (analytic) = 2.940426305281901117045198501824
y[1] (numeric) = 2.9404263052819010892603486823038
absolute error = 2.77848498195202e-17
relative error = 9.4492590307773223801214916322266e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6288497639978256200378181977202
y[1] (analytic) = 2.9409634501099796984357446295972
y[1] (numeric) = 2.9409634501099796706508683689617
absolute error = 2.77848762606355e-17
relative error = 9.4475421854006591477669196221212e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6298430162050130145480499870781
y[1] (analytic) = 2.9415005883720543143502666507074
y[1] (numeric) = 2.941500588372054286565363974656
absolute error = 2.77849026760514e-17
relative error = 9.4458259793953302081624926248802e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.630836268412200409058281776436
y[1] (analytic) = 2.9420377200702526439564597102769
y[1] (numeric) = 2.9420377200702526161715306444797
absolute error = 2.77849290657972e-17
relative error = 9.4441104124027771723171427639734e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6318295206193878035685135657939
y[1] (analytic) = 2.9425748452067013323946299589078
y[1] (numeric) = 2.9425748452067013046096745290058
absolute error = 2.77849554299020e-17
relative error = 9.4423954840646523206606149891609e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 14.08
Order of pole = 3.135
x[1] = 4.6328227728265751980787453551518
y[1] (analytic) = 2.9431119637835259914476197804456
y[1] (numeric) = 2.943111963783525963662638012051
absolute error = 2.77849817683946e-17
relative error = 9.4406811940227844153927619100316e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6338160250337625925889771445097
y[1] (analytic) = 2.9436490758028512002101905690112
y[1] (numeric) = 2.9436490758028511724251824877071
absolute error = 2.77850080813041e-17
relative error = 9.4389675419193823503655888799299e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6348092772409499870992089338676
y[1] (analytic) = 2.9441861812668005057578635822934
y[1] (numeric) = 2.9441861812668004779728292136336
absolute error = 2.77850343686598e-17
relative error = 9.4372545273970008213705396514206e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6358025294481373816094407232255
y[1] (analytic) = 2.9447232801774964238152193974981
y[1] (numeric) = 2.9447232801774963960301587670078
absolute error = 2.77850606304903e-17
relative error = 9.4355421500982343616340742602895e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6367957816553247761196725125834
y[1] (analytic) = 2.9452603725370604394236564957564
y[1] (numeric) = 2.9452603725370604116385696289318
absolute error = 2.77850868668246e-17
relative error = 9.4338304096660907692192573034592e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6377890338625121706299043019413
y[1] (analytic) = 2.9457974583476130076086095001924
y[1] (numeric) = 2.9457974583476129798234964225007
absolute error = 2.77851130776917e-17
relative error = 9.4321193057438549259577603997621e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=591.2MB, alloc=4.4MB, time=73.41
NO POLE
x[1] = 4.6387822860696995651401360912992
y[1] (analytic) = 2.9463345376112735540462275922618
y[1] (numeric) = 2.9463345376112735262610883291415
absolute error = 2.77851392631203e-17
relative error = 9.4304088379749867058297577898571e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6397755382768869596503678806571
y[1] (analytic) = 2.9468716103301604757295136303764
y[1] (numeric) = 2.9468716103301604479443482072371
absolute error = 2.77851654231393e-17
relative error = 9.4286990060032904693352288006485e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.640768790484074354160599670015
y[1] (analytic) = 2.9474086765063911416339244942351
y[1] (numeric) = 2.9474086765063911138487329364578
absolute error = 2.77851915577773e-17
relative error = 9.4269898094727450914953214508303e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6417620426912617486708314593729
y[1] (analytic) = 2.9479457361420818933824331776925
y[1] (numeric) = 2.9479457361420818655972155106293
absolute error = 2.77852176670632e-17
relative error = 9.4252812480277073168684271092162e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6427552948984491431810632487308
y[1] (analytic) = 2.9484827892393480459100531524
y[1] (numeric) = 2.9484827892393480181248094013743
absolute error = 2.77852437510257e-17
relative error = 9.4235733213127418191124756821745e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6437485471056365376912950380887
y[1] (analytic) = 2.9490198358003038881278255238672
y[1] (numeric) = 2.949019835800303860342555714174
absolute error = 2.77852698096932e-17
relative error = 9.4218660289725870845469450529683e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6447417993128239322015268274466
y[1] (analytic) = 2.9495568758270626835862695010002
y[1] (numeric) = 2.9495568758270626558009736579058
absolute error = 2.77852958430944e-17
relative error = 9.4201593706523586567890529845989e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6457350515200113267117586168045
y[1] (analytic) = 2.9500939093217366711382966995814
y[1] (numeric) = 2.9500939093217366433529748483233
absolute error = 2.77853218512581e-17
relative error = 9.4184533459974809816087852143281e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6467283037271987212219904061624
y[1] (analytic) = 2.9506309362864370656015897995694
y[1] (numeric) = 2.9506309362864370378162419653567
absolute error = 2.77853478342127e-17
relative error = 9.4167479546535176530662097677181e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6477215559343861157322221955203
y[1] (analytic) = 2.9511679567232740584204460755096
y[1] (numeric) = 2.9511679567232740306350722835228
absolute error = 2.77853737919868e-17
relative error = 9.4150431962663745787949355352866e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6487148081415735102424539848782
y[1] (analytic) = 2.951704970634356818327086318756
y[1] (numeric) = 2.9517049706343567905416865941474
absolute error = 2.77853997246086e-17
relative error = 9.4133390704820963788311557409443e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6497080603487609047526857742361
y[1] (analytic) = 2.9522419780217934920024296696226
y[1] (numeric) = 2.9522419780217934642170040375159
absolute error = 2.77854256321067e-17
relative error = 9.4116355769471372225451161901531e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.650701312555948299262917563594
y[1] (analytic) = 2.9527789788876912047363348769922
y[1] (numeric) = 2.9527789788876911769508833624826
absolute error = 2.77854515145096e-17
relative error = 9.4099327153081911068320471349830e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.758
Order of pole = 0.6867
x[1] = 4.6516945647631356937731493529519
y[1] (analytic) = 2.9533159732341560610873085023291
y[1] (numeric) = 2.9533159732341560333018311304836
absolute error = 2.77854773718455e-17
relative error = 9.4082304852121239002221696258876e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6526878169703230882833811423098
y[1] (analytic) = 2.9538529610632931455416805844572
y[1] (numeric) = 2.9538529610632931177561773803145
absolute error = 2.77855032041427e-17
relative error = 9.4065288863061085856659893809974e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 9.324
Order of pole = 1.648
x[1] = 4.6536810691775104827936129316677
y[1] (analytic) = 2.9543899423772065231722482808801
y[1] (numeric) = 2.9543899423772064953867192694506
absolute error = 2.77855290114295e-17
relative error = 9.4048279182375911161724042067170e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6546743213846978773038447210256
y[1] (analytic) = 2.9549269171779992402963880008389
y[1] (numeric) = 2.9549269171779992125108332071046
absolute error = 2.77855547937343e-17
relative error = 9.4031275806543239912669276488835e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6556675735918852718140765103835
y[1] (analytic) = 2.9554638854677733251336365447194
y[1] (numeric) = 2.9554638854677732973480559936342
absolute error = 2.77855805510852e-17
relative error = 9.4014278732042306186892228943698e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 25.17
Order of pole = 8.858
x[1] = 4.6566608257990726663243082997414
y[1] (analytic) = 2.9560008472486297884627417638422
y[1] (numeric) = 2.9560008472486297606771354803319
absolute error = 2.77856062835103e-17
relative error = 9.3997287955355066303737309306438e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6576540780062600608345400890993
y[1] (analytic) = 2.9565378025226686242781832540858
y[1] (numeric) = 2.956537802522668596492551263048
absolute error = 2.77856319910378e-17
relative error = 9.3980303472966534413531037821633e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6586473302134474553447718784572
y[1] (analytic) = 2.9570747512919888104461635962143
y[1] (numeric) = 2.9570747512919887826605059225184
absolute error = 2.77856576736959e-17
relative error = 9.3963325281364441377129213622030e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6596405824206348498550036678151
y[1] (analytic) = 2.9576116935586883093600706552024
y[1] (numeric) = 2.9576116935586882815743873236899
absolute error = 2.77856833315125e-17
relative error = 9.3946353377038217795969051051777e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.660633834627822244365235457173
y[1] (analytic) = 2.9581486293248640685954114502731
y[1] (numeric) = 2.9581486293248640408097024857574
absolute error = 2.77857089645157e-17
relative error = 9.3929387756480682544079721126806e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6616270868350096388754672465309
y[1] (analytic) = 2.9586855585926120215642181067831
y[1] (numeric) = 2.9586855585926119937784835340497
absolute error = 2.77857345727334e-17
relative error = 9.3912428416186687570358798297568e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6626203390421970333856990358888
y[1] (analytic) = 2.9592224813640270881689264005182
y[1] (numeric) = 2.9592224813640270603831662443245
absolute error = 2.77857601561937e-17
relative error = 9.3895475352654467589230238892955e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.174
Order of pole = 0.5622
x[1] = 4.6636135912493844278959308252467
y[1] (analytic) = 2.9597593976412031754557274043811
y[1] (numeric) = 2.9597593976412031476699416894565
absolute error = 2.77857857149246e-17
relative error = 9.3878528562384623245335970751902e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6646068434565718224061626146046
y[1] (analytic) = 2.9602963074262331782673927468819
y[1] (numeric) = 2.9602963074262331504815814979282
absolute error = 2.77858112489537e-17
relative error = 9.3861588041879105385001976414227e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6656000956637592169163944039625
y[1] (analytic) = 2.9608332107212089798955739912658
y[1] (numeric) = 2.9608332107212089521097372329569
absolute error = 2.77858367583089e-17
relative error = 9.3844653787643577860692889635491e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=595.1MB, alloc=4.4MB, time=73.88
Complex estimate of poles used
Radius of convergence = 51.14
Order of pole = 34.9
x[1] = 4.6665933478709466114266261933204
y[1] (analytic) = 2.9613701075282214527325766435378
y[1] (numeric) = 2.9613701075282214249467144005195
absolute error = 2.77858622430183e-17
relative error = 9.3827725796187076313100706953176e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.573
Order of pole = 0.775
x[1] = 4.6675866000781340059368579826783
y[1] (analytic) = 2.9619069978493604589226092970726
y[1] (numeric) = 2.9619069978493604311367215939631
absolute error = 2.77858877031095e-17
relative error = 9.3810804064019641602637834577514e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6685798522853214004470897720362
y[1] (analytic) = 2.9624438816867148510125084209256
y[1] (numeric) = 2.9624438816867148232265952823156
absolute error = 2.77859131386100e-17
relative error = 9.3793888587653668965027593323843e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6695731044925087949573215613941
y[1] (analytic) = 2.9629807590423724726019392983895
y[1] (numeric) = 2.9629807590423724448160007488417
absolute error = 2.77859385495478e-17
relative error = 9.3776979363605930696232030685058e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.670566356699696189467553350752
y[1] (analytic) = 2.9635176299184201589930736217672
y[1] (numeric) = 2.9635176299184201312071096858165
absolute error = 2.77859639359507e-17
relative error = 9.3760076388395209960185913665685e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.015
Order of pole = 0.8303
x[1] = 4.6715596089068835839777851401099
y[1] (analytic) = 2.9640544943169437378397442487664
y[1] (numeric) = 2.9640544943169437100537549509204
absolute error = 2.77859892978460e-17
relative error = 9.3743179658541286671107756176879e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6725528611140709784880169294678
y[1] (analytic) = 2.9645913522400280297960776253498
y[1] (numeric) = 2.9645913522400280020100629900884
absolute error = 2.77860146352614e-17
relative error = 9.3726289170567972253293924839649e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 15.43
Order of pole = 3.626
x[1] = 4.6735461133212583729982487188257
y[1] (analytic) = 2.965128203689756849164604379304
y[1] (numeric) = 2.9651282036897568213785644310794
absolute error = 2.77860399482246e-17
relative error = 9.3709404921001756808219788083318e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6745393655284457675084805081836
y[1] (analytic) = 2.9656650486682130045438485882258
y[1] (numeric) = 2.9656650486682129767577833514629
absolute error = 2.77860652367629e-17
relative error = 9.3692526906370457751231797638887e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6755326177356331620187122975415
y[1] (analytic) = 2.9662018871774782994753962250566
y[1] (numeric) = 2.9662018871774782716893057241526
absolute error = 2.77860905009040e-17
relative error = 9.3675655123205915493536238137453e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6765258699428205565289440868994
y[1] (analytic) = 2.9667387192196335330904432837266
y[1] (numeric) = 2.9667387192196335053043275430515
absolute error = 2.77861157406751e-17
relative error = 9.3658789568040955999737573272521e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6775191221500079510391758762573
y[1] (analytic) = 2.9672755447967585007558240869098
y[1] (numeric) = 2.9672755447967584729696831308059
absolute error = 2.77861409561039e-17
relative error = 9.3641930237412759822940642678801e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6785123743571953455494076656152
y[1] (analytic) = 2.9678123639109319947195202773195
y[1] (numeric) = 2.9678123639109319669333541301018
absolute error = 2.77861661472177e-17
relative error = 9.3625077127859825461664375033341e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6795056265643827400596394549731
y[1] (analytic) = 2.9683491765642318047556509934158
y[1] (numeric) = 2.968349176564231776969459679372
absolute error = 2.77861913140438e-17
relative error = 9.3608230235923315550664343368853e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.680498878771570134569871244331
y[1] (analytic) = 2.9688859827587347188089447298297
y[1] (numeric) = 2.9688859827587346910227282732202
absolute error = 2.77862164566095e-17
relative error = 9.3591389558147054284774782847895e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6814921309787575290801030336889
y[1] (analytic) = 2.9694227824965165236386933822462
y[1] (numeric) = 2.9694227824965164958524518073041
absolute error = 2.77862415749421e-17
relative error = 9.3574555091077524845749900344382e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6824853831859449235903348230468
y[1] (analytic) = 2.969959575779652005462188975927
y[1] (numeric) = 2.969959575779651977675922306858
absolute error = 2.77862666690690e-17
relative error = 9.3557726831264203537019933031726e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6834786353931323181005666124047
y[1] (analytic) = 2.9704963626102149505976435764916
y[1] (numeric) = 2.9704963626102149228113518374745
absolute error = 2.77862917390171e-17
relative error = 9.3540904775257537047846194236504e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6844718876003197126107984017626
y[1] (analytic) = 2.9710331429902781461065928810174
y[1] (numeric) = 2.9710331429902781183202760962036
absolute error = 2.77863167848138e-17
relative error = 9.3524088919612307242440777613750e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6854651398075071071210301911205
y[1] (analytic) = 2.9715699169219133804357839869542
y[1] (numeric) = 2.9715699169219133526494421804681
absolute error = 2.77863418064861e-17
relative error = 9.3507279260884598375791674677825e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.524
Order of pole = 0.5833
x[1] = 4.6864583920146945016312619804784
y[1] (analytic) = 2.9721066844071914440585478357964
y[1] (numeric) = 2.9721066844071914162721810317351
absolute error = 2.77863668040613e-17
relative error = 9.3490475795634150982937938219762e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 21.21
Order of pole = 6.377
x[1] = 4.6874516442218818961414937698363
y[1] (analytic) = 2.9726434454481821301156568278906
y[1] (numeric) = 2.9726434454481821023292650503241
absolute error = 2.77863917775665e-17
relative error = 9.3473678520422676407116443539235e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6884448964290692906517255591942
y[1] (analytic) = 2.9731802000469542350556681042042
y[1] (numeric) = 2.9731802000469542072692513771758
absolute error = 2.77864167270284e-17
relative error = 9.3456887431813182174412277338565e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.146
Order of pole = 0.9932
x[1] = 4.6894381486362566851619573485521
y[1] (analytic) = 2.9737169482055755592747529903214
y[1] (numeric) = 2.9737169482055755314883113378473
absolute error = 2.77864416524741e-17
relative error = 9.3440102526372660894035662068444e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.69043140084344407967218913791
y[1] (analytic) = 2.9742536899261129077560130973751
y[1] (numeric) = 2.9742536899261128799695465434443
absolute error = 2.77864665539308e-17
relative error = 9.3423323800671077840505273441281e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.684
Order of pole = 0.677
x[1] = 4.6914246530506314741824209272679
y[1] (analytic) = 2.9747904252106320907082835740699
y[1] (numeric) = 2.9747904252106320629217921426445
absolute error = 2.77864914314254e-17
relative error = 9.3406551251280023473953613898240e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6924179052578188686926527166258
y[1] (analytic) = 2.9753271540611979242044240033966
y[1] (numeric) = 2.9753271540611978964179077184121
absolute error = 2.77865162849845e-17
relative error = 9.3389784874772711809077986307715e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 9.422
Order of pole = 1.658
x[1] = 4.6934111574650062632028845059837
y[1] (analytic) = 2.9758638764798742308190974370835
y[1] (numeric) = 2.9758638764798742030325563224483
absolute error = 2.77865411146352e-17
relative error = 9.3373024667726667081032188511957e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.248
Order of pole = 0.7352
memory used=598.9MB, alloc=4.4MB, time=74.35
x[1] = 4.6944044096721936577131162953416
y[1] (analytic) = 2.9764005924687238402660380602748
y[1] (numeric) = 2.9764005924687238124794721398703
absolute error = 2.77865659204045e-17
relative error = 9.3356270626721703836741971463187e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6953976618793810522233480846995
y[1] (analytic) = 2.9769373020298085900348079783768
y[1] (numeric) = 2.976937302029808562248217276058
absolute error = 2.77865907023188e-17
relative error = 9.3339522748338245127189498322917e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.846
Order of pole = 0.6055
x[1] = 4.6963909140865684467335798740574
y[1] (analytic) = 2.9774740051651893260270436174599
y[1] (numeric) = 2.977474005165189298240428157055
absolute error = 2.77866154604049e-17
relative error = 9.3322781029160680346165969391047e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6973841662937558412438116634153
y[1] (analytic) = 2.9780107018769259031921922290508
y[1] (numeric) = 2.978010701876925875405552034361
absolute error = 2.77866401946898e-17
relative error = 9.3306045465776689902711005654218e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6983774185009432357540434527732
y[1] (analytic) = 2.9785473921670771861627389895996
y[1] (numeric) = 2.9785473921670771583760740843996
absolute error = 2.77866649052000e-17
relative error = 9.3289316054774891953279278275053e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.6993706707081306302642752421311
y[1] (analytic) = 2.9790840760377010498889251843599
y[1] (numeric) = 2.9790840760377010221022355923976
absolute error = 2.77866895919623e-17
relative error = 9.3272592792747526782406668103760e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.700363922915318024774507031489
y[1] (analytic) = 2.979620753490854380272957964865
y[1] (numeric) = 2.9796207534908543524862437098619
absolute error = 2.77867142550031e-17
relative error = 9.3255875676288104084803166871947e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.41
Order of pole = 0.8806
x[1] = 4.7013571751225054192847388208469
y[1] (analytic) = 2.9801574245285930748027121686404
y[1] (numeric) = 2.9801574245285930470159732742912
absolute error = 2.77867388943492e-17
relative error = 9.3239164701994086080915851648148e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7023504273296928137949706102048
y[1] (analytic) = 2.9806940891529720431849246892401
y[1] (numeric) = 2.9806940891529720153981611792131
absolute error = 2.77867635100270e-17
relative error = 9.3222459866464199856875124544366e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7033436795368802083052023995627
y[1] (analytic) = 2.9812307473660452079778818841516
y[1] (numeric) = 2.9812307473660451801910937820884
absolute error = 2.77867881020632e-17
relative error = 9.3205761166300784086588062658833e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7043369317440676028154341889206
y[1] (analytic) = 2.9817673991698655052236005075643
y[1] (numeric) = 2.9817673991698654774367878370801
absolute error = 2.77868126704842e-17
relative error = 9.3189068598107773389491558389256e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7053301839512549973256659782785
y[1] (analytic) = 2.9823040445664848850795026544528
y[1] (numeric) = 2.9823040445664848572926654391365
absolute error = 2.77868372153163e-17
relative error = 9.3172382158491367354482759198985e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.154
Order of pole = 0.6291
x[1] = 4.7063234361584423918358977676364
y[1] (analytic) = 2.9828406835579543124495852018814
y[1] (numeric) = 2.9828406835579542846627234652951
absolute error = 2.77868617365863e-17
relative error = 9.3155701844062039845403908302794e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7073166883656297863461295569943
y[1] (analytic) = 2.9833773161463237676150842328882
y[1] (numeric) = 2.983377316146323739828197998568
absolute error = 2.77868862343202e-17
relative error = 9.3139027651430177516988677845569e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.983
Order of pole = 1.133
x[1] = 4.7083099405728171808563613463522
y[1] (analytic) = 2.9839139423336422468646349277711
y[1] (numeric) = 2.9839139423336422190777242192268
absolute error = 2.77869107085443e-17
relative error = 9.3122359577209766164671540837879e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7093031927800045753665931357101
y[1] (analytic) = 2.9844505621219577631239274070471
y[1] (numeric) = 2.9844505621219577353369922477619
absolute error = 2.77869351592852e-17
relative error = 9.3105697618018387327004983673648e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.34
Order of pole = 1.199
x[1] = 4.710296444987191969876824925068
y[1] (analytic) = 2.9849871755133173465848590098178
y[1] (numeric) = 2.9849871755133173187978994232486
absolute error = 2.77869595865692e-17
relative error = 9.3089041770475204833083600066559e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7112896971943793643870567144259
y[1] (analytic) = 2.9855237825097670453341834907338
y[1] (numeric) = 2.9855237825097670175471995003113
absolute error = 2.77869839904225e-17
relative error = 9.3072392031201633118348925892480e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.202
Order of pole = 0.7288
x[1] = 4.7122829494015667588972885037838
y[1] (analytic) = 2.9860603831133519259816576182069
y[1] (numeric) = 2.9860603831133518981946492473358
absolute error = 2.77870083708711e-17
relative error = 9.3055748396821000151742675399438e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7132762016087541534075202931417
y[1] (analytic) = 2.9865969773261160742876856559816
y[1] (numeric) = 2.9865969773261160465006529280403
absolute error = 2.77870327279413e-17
relative error = 9.3039110863960219701859199805187e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7142694538159415479177520824996
y[1] (analytic) = 2.9871335651501025957904622096345
y[1] (numeric) = 2.9871335651501025680034051479751
absolute error = 2.77870570616594e-17
relative error = 9.3022479429248783648147612722666e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.6484
Order of pole = 0.5054
x[1] = 4.7152627060231289424279838718575
y[1] (analytic) = 2.987670146587353616432613919035
y[1] (numeric) = 2.9876701465873535886455325469836
absolute error = 2.77870813720514e-17
relative error = 9.3005854089317755378218784924332e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.932
Order of pole = 1.122
x[1] = 4.7162559582303163369382156612154
y[1] (analytic) = 2.9882067216399102831873404772616
y[1] (numeric) = 2.9882067216399102554002348181182
absolute error = 2.77871056591434e-17
relative error = 9.2989234840801106811930250041760e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7172492104375037314484474505733
y[1] (analytic) = 2.9887432903098127646840554559286
y[1] (numeric) = 2.9887432903098127368969255329672
absolute error = 2.77871299229614e-17
relative error = 9.2972621680335046452681670662992e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7182424626446911259586792399312
y[1] (analytic) = 2.9892798525991002518335274163447
y[1] (numeric) = 2.9892798525991002240463732528133
absolute error = 2.77871541635314e-17
relative error = 9.2956014604558351748783686324501e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7192357148518785204689110292891
y[1] (analytic) = 2.989816408509810958452521785386
y[1] (numeric) = 2.9898164085098109306653434045064
absolute error = 2.77871783808796e-17
relative error = 9.2939413610113035565832283528735e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.806
Order of pole = 0.6873
x[1] = 4.720228967059065914979142818647
y[1] (analytic) = 2.9903529580439821218879439744322
y[1] (numeric) = 2.9903529580439820941007413994006
absolute error = 2.77872025750316e-17
relative error = 9.2922818693641667854930499240246e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7212222192662533094893746080049
y[1] (analytic) = 2.990889501203650003640484219181
y[1] (numeric) = 2.9908895012036499758532574731674
absolute error = 2.77872267460136e-17
relative error = 9.2906229851791387177850479994106e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
memory used=602.7MB, alloc=4.4MB, time=74.81
x[1] = 4.7222154714734407039996063973628
y[1] (analytic) = 2.991426037990849889987764617618
y[1] (numeric) = 2.9914260379908498622005137237666
absolute error = 2.77872508938514e-17
relative error = 9.2889647081210553563347300064396e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7232087236806280985098381867207
y[1] (analytic) = 2.9919625684076160926069888428916
y[1] (numeric) = 2.9919625684076160648197138243207
absolute error = 2.77872750185709e-17
relative error = 9.2873070378550418396772335656867e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7242019758878154930200699760786
y[1] (analytic) = 2.9924990924559819491970950073043
y[1] (numeric) = 2.9924990924559819214097958871066
absolute error = 2.77872991201977e-17
relative error = 9.2856499740463784993764595153978e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7251952280950028875303017654365
y[1] (analytic) = 2.993035610137979824100412153105
y[1] (numeric) = 2.9930356101379797963130889543473
absolute error = 2.77873231987577e-17
relative error = 9.2839935163607011704291695859900e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7261884803021902820405335547944
y[1] (analytic) = 2.9935721214556411089238208452307
y[1] (numeric) = 2.9935721214556410811364735909538
absolute error = 2.77873472542769e-17
relative error = 9.2823376644639340470255213997807e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7271817325093776765507653441523
y[1] (analytic) = 2.994108626410996223159418340619
y[1] (numeric) = 2.9941086264109961953720470538382
absolute error = 2.77873712867808e-17
relative error = 9.2806824180220890148328584032612e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7281749847165650710609971335102
y[1] (analytic) = 2.9946451250060746148046888081822
y[1] (numeric) = 2.9946451250060745870172935118874
absolute error = 2.77873952962948e-17
relative error = 9.2790277767013991283840455066648e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7291682369237524655712289228681
y[1] (analytic) = 2.9951816172429047609821790730048
y[1] (numeric) = 2.9951816172429047331947597901597
absolute error = 2.77874192828451e-17
relative error = 9.2773737401686188798153260471981e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.730161489130939860081460712226
y[1] (analytic) = 2.9957181031235141685586803577934
y[1] (numeric) = 2.9957181031235141407712371113364
absolute error = 2.77874432464570e-17
relative error = 9.2757203080904562395547071567419e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7311547413381272545916925015839
y[1] (analytic) = 2.996254582649929374763916494089
y[1] (numeric) = 2.9962545826499293469764493069328
absolute error = 2.77874671871562e-17
relative error = 9.2740674801340065572299004887359e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7321479935453146491019242909418
y[1] (analytic) = 2.9967910558241759478087390752156
y[1] (numeric) = 2.9967910558241759200212479702474
absolute error = 2.77874911049682e-17
relative error = 9.2724152559665519850323882784967e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.209
Order of pole = 0.7281
x[1] = 4.7331412457525020436121560802997
y[1] (analytic) = 2.9973275226482784875028300224173
y[1] (numeric) = 2.9973275226482784597153150224989
absolute error = 2.77875149999184e-17
relative error = 9.2707636352555946578801223680096e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7341344979596894381223878696576
y[1] (analytic) = 2.9978639831242606258719120351106
y[1] (numeric) = 2.997863983124260598084373163078
absolute error = 2.77875388720326e-17
relative error = 9.2691126176690232663071459568778e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7351277501668768326326196590155
y[1] (analytic) = 2.9984004372541450277744673956484
y[1] (numeric) = 2.9984004372541449999869046743123
absolute error = 2.77875627213361e-17
relative error = 9.2674622028748125349381257357914e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7361210023740642271428514483734
y[1] (analytic) = 2.9989368850399533915179655984757
y[1] (numeric) = 2.9989368850399533637303790506216
absolute error = 2.77875865478541e-17
relative error = 9.2658123905411565104774428796005e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7371142545812516216530832377313
y[1] (analytic) = 2.9994733264837064494746002730264
y[1] (numeric) = 2.9994733264837064216869899214141
absolute error = 2.77876103516123e-17
relative error = 9.2641631803366683850570202190972e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7381075067884390161633150270892
y[1] (analytic) = 3.0000097615874239686965358691887
y[1] (numeric) = 3.0000097615874239409089017365527
absolute error = 2.77876341326360e-17
relative error = 9.2625145719300801068451381238179e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7391007589956264106735468164471
y[1] (analytic) = 3.0005461903531247515306645736484
y[1] (numeric) = 3.0005461903531247237430066826978
absolute error = 2.77876578909506e-17
relative error = 9.2608665649904088946149909908154e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.526
Order of pole = 0.7631
x[1] = 4.740094011202813805183778605805
y[1] (analytic) = 3.0010826127828266362328739248911
y[1] (numeric) = 3.0010826127828266084451922983101
absolute error = 2.77876816265810e-17
relative error = 9.2592191591867570393529879223822e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7410872634100011996940103951629
y[1] (analytic) = 3.0016190288785464975818255941298
y[1] (numeric) = 3.0016190288785464697941202545769
absolute error = 2.77877053395529e-17
relative error = 9.2575723541887449122731048816234e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7420805156171885942042421845208
y[1] (analytic) = 3.0021554386423002474922457988966
y[1] (numeric) = 3.0021554386423002197045167690052
absolute error = 2.77877290298914e-17
relative error = 9.2559261496660441548062009805186e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7430737678243759887144739738787
y[1] (analytic) = 3.0026918420761028356277278155248
y[1] (numeric) = 3.0026918420761028078399751179031
absolute error = 2.77877526976217e-17
relative error = 9.2542805452886107414311952956037e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7440670200315633832247057632366
y[1] (analytic) = 3.0032282391819682500130470562226
y[1] (numeric) = 3.0032282391819682222252707134538
absolute error = 2.77877763427688e-17
relative error = 9.2526355407265848177333484297107e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7450602722387507777349375525945
y[1] (analytic) = 3.0037646299619095176459891759257
y[1] (numeric) = 3.0037646299619094898581892105677
absolute error = 2.77877999653580e-17
relative error = 9.2509911356504569782518560002012e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7460535244459381722451693419524
y[1] (analytic) = 3.0043010144179387051086916735932
y[1] (numeric) = 3.0043010144179386773208681081787
absolute error = 2.77878235654145e-17
relative error = 9.2493473297309347957074310903685e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7470467766531255667554011313103
y[1] (analytic) = 3.0048373925520669191784994520991
y[1] (numeric) = 3.0048373925520668913906523091358
absolute error = 2.77878471429633e-17
relative error = 9.2477041226389093322160139893445e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7480400288603129612656329206682
y[1] (analytic) = 3.0053737643663043074383348003522
y[1] (numeric) = 3.005373764366304279650464102323
absolute error = 2.77878706980292e-17
relative error = 9.2460615140454549601123550390230e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7490332810675003557758647100261
y[1] (analytic) = 3.005910129862660058886582260762
y[1] (numeric) = 3.0059101298626600310986880301245
absolute error = 2.77878942306375e-17
relative error = 9.2444195036220620575423472324336e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.750026533274687750286096499384
memory used=606.5MB, alloc=4.4MB, time=75.27
y[1] (analytic) = 3.0064464890431424045464888446522
y[1] (numeric) = 3.006446489043142376758571103839
absolute error = 2.77879177408132e-17
relative error = 9.2427780910403705271013431412053e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7510197854818751447963282887419
y[1] (analytic) = 3.0069828419097586180750800577106
y[1] (numeric) = 3.0069828419097585902871388291296
absolute error = 2.77879412285810e-17
relative error = 9.2411372759721696470995755892980e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7520130376890625393065600780998
y[1] (analytic) = 3.0075191884645150163715921970493
y[1] (numeric) = 3.0075191884645149885836275030834
absolute error = 2.77879646939659e-17
relative error = 9.2394970580895974229761864156680e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7530062898962499338167918674577
y[1] (analytic) = 3.0080555287094169601854213809347
y[1] (numeric) = 3.0080555287094169323974332439419
absolute error = 2.77879881369928e-17
relative error = 9.2378574370650072847894099536012e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7549927943106247228372554461735
y[1] (analytic) = 3.0091281902776741502577294521308
y[1] (numeric) = 3.0091281902776741224696944960585
absolute error = 2.77880349560723e-17
relative error = 9.2345799842804622590298773681058e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.137
Order of pole = 0.6258
x[1] = 4.7559860465178121173474872355314
y[1] (analytic) = 3.0096645116050353427305844140818
y[1] (numeric) = 3.0096645116050353149425260819076
absolute error = 2.77880583321742e-17
relative error = 9.2329421518662894187058844616219e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.882
Order of pole = 0.8045
x[1] = 4.7569792987249995118577190248893
y[1] (analytic) = 3.0102008266305539743620311196188
y[1] (numeric) = 3.0102008266305539465739494336013
absolute error = 2.77880816860175e-17
relative error = 9.2313049150019281794249904025773e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7579725509321869063679508142472
y[1] (analytic) = 3.0107371353562306342546180919074
y[1] (numeric) = 3.0107371353562306064665130742808
absolute error = 2.77881050176266e-17
relative error = 9.2296682733608058469777217191958e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7589658031393743008781826036051
y[1] (analytic) = 3.0112734377840649589986249946154
y[1] (numeric) = 3.0112734377840649312104966675888
absolute error = 2.77881283270266e-17
relative error = 9.2280322266168295797309506837918e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.759959055346561695388414392963
y[1] (analytic) = 3.0118097339160556332766416570537
y[1] (numeric) = 3.0118097339160556054884900428121
absolute error = 2.77881516142416e-17
relative error = 9.2263967744438215014976516045376e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7609523075537490898986461823209
y[1] (analytic) = 3.0123460237542003904676675020757
y[1] (numeric) = 3.0123460237542003626794926227791
absolute error = 2.77881748792966e-17
relative error = 9.2247619165161494996659788586689e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.534
Order of pole = 0.6593
x[1] = 4.7619455597609364844088779716788
y[1] (analytic) = 3.0128823073004960132507318332004
y[1] (numeric) = 3.0128823073004959854625337109842
absolute error = 2.77881981222162e-17
relative error = 9.2231276525082952437805517391763e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7629388119681238789191097610367
y[1] (analytic) = 3.0134185845569383342080354369259
y[1] (numeric) = 3.013418584556938306419814093901
absolute error = 2.77882213430249e-17
relative error = 9.2214939820949536238416631365859e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 8.216
Order of pole = 1.361
x[1] = 4.7639320641753112734293415503946
y[1] (analytic) = 3.0139548555255222364276139556904
y[1] (numeric) = 3.0139548555255222086393694139432
absolute error = 2.77882445417472e-17
relative error = 9.2198609049510657244660657922875e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7649253163824986679395733397525
y[1] (analytic) = 3.0144911202082416541055234864318
y[1] (numeric) = 3.0144911202082416263172557680243
absolute error = 2.77882677184075e-17
relative error = 9.2182284207517854176794193639844e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7659185685896860624498051291104
y[1] (analytic) = 3.0150273786070895731475488591943
y[1] (numeric) = 3.0150273786070895453592579861636
absolute error = 2.77882908730307e-17
relative error = 9.2165965291726781617408511863897e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7669118207968734569600369184683
y[1] (analytic) = 3.0155636307240580317704350497222
y[1] (numeric) = 3.0155636307240580039821210440813
absolute error = 2.77883140056409e-17
relative error = 9.2149652298892895232369434316125e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7679050730040608514702687078262
y[1] (analytic) = 3.0160998765611381211026421794842
y[1] (numeric) = 3.0160998765611380933143050632218
absolute error = 2.77883371162624e-17
relative error = 9.2133345225774767337017608408320e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7688983252112482459805004971841
y[1] (analytic) = 3.016636116120319985784624556062
y[1] (numeric) = 3.0166361161203199579962643511422
absolute error = 2.77883602049198e-17
relative error = 9.2117044069134415470573154590949e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.769891577418435640490732286542
y[1] (analytic) = 3.0171723494035928245686342063365
y[1] (numeric) = 3.017172349403592796780250934699
absolute error = 2.77883832716375e-17
relative error = 9.2100748825735642003437647225654e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7708848296256230350009640758999
y[1] (analytic) = 3.0177085764129448909180493544063
y[1] (numeric) = 3.0177085764129448631296430379667
absolute error = 2.77884063164396e-17
relative error = 9.2084459492343701023993973615116e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7718780818328104295111958652578
y[1] (analytic) = 3.0182447971503634936062282956688
y[1] (numeric) = 3.0182447971503634658177989563183
absolute error = 2.77884293393505e-17
relative error = 9.2068176065727284809365287016180e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7728713340399978240214276546157
y[1] (analytic) = 3.0187810116178349973148891179943
y[1] (numeric) = 3.0187810116178349695264367775998
absolute error = 2.77884523403945e-17
relative error = 9.2051898542657195583859112214556e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.349
Order of pole = 1.012
x[1] = 4.7738645862471852185316594439736
y[1] (analytic) = 3.019317219817344823232015720425
y[1] (numeric) = 3.0193172198173447954435404008292
absolute error = 2.77884753195958e-17
relative error = 9.2035626919906343495768141152805e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7748578384543726130418912333315
y[1] (analytic) = 3.019853421750877449649290579331
y[1] (numeric) = 3.0198534217508774218607923023523
absolute error = 2.77884982769787e-17
relative error = 9.2019361194250406880296180002913e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7758510906615600075521230226894
y[1] (analytic) = 3.0203896174204164125590547114555
y[1] (numeric) = 3.0203896174204163847705334988885
absolute error = 2.77885212125670e-17
relative error = 9.2003101362465843154461165485871e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7768443428687474020623548120473
y[1] (analytic) = 3.0209258068279443062507952827882
y[1] (numeric) = 3.0209258068279442784622511564031
absolute error = 2.77885441263851e-17
relative error = 9.1986847421333529244427346959928e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7778375950759347965725866014052
y[1] (analytic) = 3.0214619899754427839071613117009
y[1] (numeric) = 3.0214619899754427561185942932436
absolute error = 2.77885670184573e-17
relative error = 9.1970599367636440755906693134501e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=610.3MB, alloc=4.4MB, time=75.74
NO POLE
x[1] = 4.7788308472831221910828183907631
y[1] (analytic) = 3.02199816686489255819950791429
y[1] (numeric) = 3.0219981668648925304109180254825
absolute error = 2.77885898888075e-17
relative error = 9.1954357198158657242975052167122e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.779824099490309585593050180121
y[1] (analytic) = 3.0225343374982734018829695393716
y[1] (numeric) = 3.0225343374982733740943568019121
absolute error = 2.77886127374595e-17
relative error = 9.1938120909686353624906001015172e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.085
Order of pole = 1.136
x[1] = 4.7808173516974969801032819694789
y[1] (analytic) = 3.0230705018775641483910626400793
y[1] (numeric) = 3.0230705018775641206024270756418
absolute error = 2.77886355644375e-17
relative error = 9.1921890499009452127143844641840e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7818106039046843746135137588368
y[1] (analytic) = 3.0236066600047426924298182285194
y[1] (numeric) = 3.0236066600047426646411598587538
absolute error = 2.77886583697656e-17
relative error = 9.1905665962919965156373963222298e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.559
Order of pole = 0.7634
x[1] = 4.7828038561118717691237455481947
y[1] (analytic) = 3.0241428118817859905714447594468
y[1] (numeric) = 3.024142811881785962782763605979
absolute error = 2.77886811534678e-17
relative error = 9.1889447298211993299639039153624e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7837971083190591636339773375526
y[1] (analytic) = 3.0246789575106700618475217884285
y[1] (numeric) = 3.0246789575106700340588178728609
absolute error = 2.77887039155676e-17
relative error = 9.1873234501680400871349400891457e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7847903605262465581442091269105
y[1] (analytic) = 3.0252150968933699883417248494724
y[1] (numeric) = 3.0252150968933699605529981933831
absolute error = 2.77887266560893e-17
relative error = 9.1857027570125112303939075128544e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7857836127334339526544409162684
y[1] (analytic) = 3.0257512300318599157820819966002
y[1] (numeric) = 3.0257512300318598879933326215435
absolute error = 2.77887493750567e-17
relative error = 9.1840826500346811063625394666100e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7867768649406213471646727056263
y[1] (analytic) = 3.0262873569281130541327624533599
y[1] (numeric) = 3.0262873569281130263439903808664
absolute error = 2.77887720724935e-17
relative error = 9.1824631289148260582302015699053e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7877701171478087416749044949842
y[1] (analytic) = 3.026823477584101678185397813777
y[1] (numeric) = 3.0268234775841016503966030653536
absolute error = 2.77887947484234e-17
relative error = 9.1808441933334632647674746614986e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.318
Order of pole = 0.8577
x[1] = 4.7887633693549961361851362843421
y[1] (analytic) = 3.0273595920017971281499362377545
y[1] (numeric) = 3.027359592001797100361118834884
absolute error = 2.77888174028705e-17
relative error = 9.1792258429714826407192706418838e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7897566215621835306953680737
y[1] (analytic) = 3.0278957001831698102450300834409
y[1] (numeric) = 3.0278957001831697824561900475825
absolute error = 2.77888400358584e-17
relative error = 9.1776080775098492560160726690905e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 8.791
Order of pole = 1.477
x[1] = 4.7907498737693709252055998630579
y[1] (analytic) = 3.0284318021301891972879574186
y[1] (numeric) = 3.0284318021301891694990947711893
absolute error = 2.77888626474107e-17
relative error = 9.1759908966297683565423626467634e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7917431259765583197158316524158
y[1] (analytic) = 3.0289678978448238292840778525235
y[1] (numeric) = 3.0289678978448238014951926149724
absolute error = 2.77888852375511e-17
relative error = 9.1743743000127181514917931641467e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7927363781837457142260634417737
y[1] (analytic) = 3.0295039873290413140158231295413
y[1] (numeric) = 3.029503987329041286226915323238
absolute error = 2.77889078063033e-17
relative error = 9.1727582873404165485206136587718e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 14.42
Order of pole = 3.127
x[1] = 4.7937296303909331087362952311316
y[1] (analytic) = 3.030040070584808327631222924698
y[1] (numeric) = 3.0300400705848082998422925710069
absolute error = 2.77889303536911e-17
relative error = 9.1711428582948539299592671006080e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7947228825981205032465270204895
y[1] (analytic) = 3.0305761476140906152319662816751
y[1] (numeric) = 3.0305761476140905874430134019372
absolute error = 2.77889528797379e-17
relative error = 9.1695280125581279120987650898388e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7957161348053078977567588098474
y[1] (analytic) = 3.0311122184188529914609991325556
y[1] (numeric) = 3.0311122184188529636720237480884
absolute error = 2.77889753844672e-17
relative error = 9.1679137498126081917415051914023e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7967093870124952922669905992053
y[1] (analytic) = 3.031648283001059341089658338539
y[1] (numeric) = 3.0316482830010593133006604706365
absolute error = 2.77889978679025e-17
relative error = 9.1663000697409033057334986925818e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7977026392196826867772223885632
y[1] (analytic) = 3.0321843413626726196043426902321
y[1] (numeric) = 3.0321843413626725918153223601644
absolute error = 2.77890203300677e-17
relative error = 9.1646869720259923234006114960638e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.7986958914268700812874541779211
y[1] (analytic) = 3.0327203935056548537927213056546
y[1] (numeric) = 3.0327203935056548260036785346686
absolute error = 2.77890427709860e-17
relative error = 9.1630744563508617938990083865387e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.411
Order of pole = 0.7452
x[1] = 4.799689143634057475797685967279
y[1] (analytic) = 3.0332564394319671423294798636188
y[1] (numeric) = 3.0332564394319671145404146729382
absolute error = 2.77890651906806e-17
relative error = 9.1614625223987365001818065495836e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 12.38
Order of pole = 2.432
x[1] = 4.8006823958412448703079177566369
y[1] (analytic) = 3.0337924791435696563616051096556
y[1] (numeric) = 3.0337924791435696285725175204804
absolute error = 2.77890875891752e-17
relative error = 9.1598511698532440442577559687391e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8016756480484322648181495459948
y[1] (analytic) = 3.0343285126424216400932080711775
y[1] (numeric) = 3.0343285126424216123040981046842
absolute error = 2.77891099664933e-17
relative error = 9.1582403983981837833691896172487e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8026689002556196593283813353527
y[1] (analytic) = 3.0348645399304814113698864180897
y[1] (numeric) = 3.0348645399304813835807540954316
absolute error = 2.77891323226581e-17
relative error = 9.1566302077174937134585861694741e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8036621524628070538386131247106
y[1] (analytic) = 3.0354005610097063622626264045778
y[1] (numeric) = 3.0354005610097063344734717468851
absolute error = 2.77891546576927e-17
relative error = 9.1550205974953162214820134982817e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8046554046699944483488449140685
y[1] (analytic) = 3.0359365758820529596512448273194
y[1] (numeric) = 3.0359365758820529318620678556986
absolute error = 2.77891769716208e-17
relative error = 9.1534115674162284619053926595785e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8056486568771818428590767034264
y[1] (analytic) = 3.0364725845494767458073714348869
y[1] (numeric) = 3.0364725845494767180181721704214
absolute error = 2.77891992644655e-17
relative error = 9.1518031171648467631646174473231e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=614.1MB, alloc=4.4MB, time=76.22
NO POLE
x[1] = 4.8066419090843692373693084927843
y[1] (analytic) = 3.0370085870139323389769722226318
y[1] (numeric) = 3.0370085870139323111877506863818
absolute error = 2.77892215362500e-17
relative error = 9.1501952464260570686760828356842e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8076351612915566318795402821422
y[1] (analytic) = 3.0375445832773734339624140468594
y[1] (numeric) = 3.037544583277373406173170259862
absolute error = 2.77892437869974e-17
relative error = 9.1485879548849488419332224375696e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8086284134987440263897720715001
y[1] (analytic) = 3.0380805733417528027040709916261
y[1] (numeric) = 3.038080573341752774914804974895
absolute error = 2.77892660167311e-17
relative error = 9.1469812422269465347018550413743e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.623
Order of pole = 0.7685
x[1] = 4.809621665705931420900003860858
y[1] (analytic) = 3.0386165572090222948614729210124
y[1] (numeric) = 3.0386165572090222670721846955381
absolute error = 2.77892882254743e-17
relative error = 9.1453751081376447286725155637643e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.355
Order of pole = 0.8602
x[1] = 4.8106149179131188154102356502159
y[1] (analytic) = 3.0391525348811328383939966492502
y[1] (numeric) = 3.0391525348811328106046862360003
absolute error = 2.77893104132499e-17
relative error = 9.1437695523027750672151198465071e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8116081701203062099204674395738
y[1] (analytic) = 3.0396885063600344401411001606052
y[1] (numeric) = 3.0396885063600344123517675805243
absolute error = 2.77893325800809e-17
relative error = 9.1421645744083377126718966876138e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 13.39
Order of pole = 2.749
x[1] = 4.8126014223274936044306992289317
y[1] (analytic) = 3.040224471647676186402100310439
y[1] (numeric) = 3.0402244716476761586127455844484
absolute error = 2.77893547259906e-17
relative error = 9.1405601741406668799994850656727e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8135946745346809989409310182896
y[1] (analytic) = 3.0407604307460062435154944384009
y[1] (numeric) = 3.0407604307460062157261175873989
absolute error = 2.77893768510020e-17
relative error = 9.1389563511862332090395850088649e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8145879267418683934511628076475
y[1] (analytic) = 3.0412963836569718584378263242252
y[1] (numeric) = 3.0412963836569718306484273690872
absolute error = 2.77893989551380e-17
relative error = 9.1373531052317093914925030959549e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8155811789490557879613945970054
y[1] (analytic) = 3.0418323303825193593220969161364
y[1] (numeric) = 3.0418323303825193315326758777147
absolute error = 2.77894210384217e-17
relative error = 9.1357504359640686034487827567935e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8165744311562431824716263863633
y[1] (analytic) = 3.0423682709245941560957202613889
y[1] (numeric) = 3.042368270924594128306277160513
absolute error = 2.77894431008759e-17
relative error = 9.1341483430704198808534390922809e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8175676833634305769818581757212
y[1] (analytic) = 3.042904205285140741038025067998
y[1] (numeric) = 3.0429042052851407132485599254743
absolute error = 2.77894651425237e-17
relative error = 9.1325468262382051657133827591118e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8185609355706179714920899650791
y[1] (analytic) = 3.0434401334661026893573023262447
y[1] (numeric) = 3.0434401334661026615678151628567
absolute error = 2.77894871633880e-17
relative error = 9.1309458851550347110288451117434e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.819554187777805366002321754437
y[1] (analytic) = 3.0439760554694226597673994180664
y[1] (numeric) = 3.043976055469422631977890254575
absolute error = 2.77895091634914e-17
relative error = 9.1293455195086540666945741777535e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8205474399849927605125535437949
y[1] (analytic) = 3.0445119712970423950638611419748
y[1] (numeric) = 3.044511971297042367274329999118
absolute error = 2.77895311428568e-17
relative error = 9.1277457289871410221916747525434e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8215406921921801550227853331528
y[1] (analytic) = 3.0450478809509027226996180806705
y[1] (numeric) = 3.0450478809509026949100649791633
absolute error = 2.77895531015072e-17
relative error = 9.1261465132788396196803070147805e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8225339443993675495330171225107
y[1] (analytic) = 3.0455837844329435553602227380549
y[1] (numeric) = 3.0455837844329435275706476985895
absolute error = 2.77895750394654e-17
relative error = 9.1245478720722614023513858824728e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 8.202
Order of pole = 1.342
x[1] = 4.8235271966065549440432489118686
y[1] (analytic) = 3.0461196817451038915386338718717
y[1] (numeric) = 3.0461196817451038637490369151179
absolute error = 2.77895969567538e-17
relative error = 9.1229498050560195956861153118604e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8245204488137423385534807012265
y[1] (analytic) = 3.0466555728893218161095494477408
y[1] (numeric) = 3.0466555728893217883199305943454
absolute error = 2.77896188533954e-17
relative error = 9.1213523119191572327129525411920e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8255137010209297330637124905844
y[1] (analytic) = 3.0471914578675345009032886398779
y[1] (numeric) = 3.047191457867534473113647910465
absolute error = 2.77896407294129e-17
relative error = 9.1197553923508514080665555156658e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8265069532281171275739442799423
y[1] (analytic) = 3.0477273366816782052792233033284
y[1] (numeric) = 3.0477273366816781774895607184996
absolute error = 2.77896625848288e-17
relative error = 9.1181590460404459574150808985757e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8275002054353045220841760693002
y[1] (analytic) = 3.0482632093336882766987593420769
y[1] (numeric) = 3.0482632093336882489090749224111
absolute error = 2.77896844196658e-17
relative error = 9.1165632726775825191298353628902e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8284934576424919165944078586581
y[1] (analytic) = 3.0487990758254991512978683969242
y[1] (numeric) = 3.0487990758254991235081621629778
absolute error = 2.77897062339464e-17
relative error = 9.1149680719520690593545916603907e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.829486709849679311104639648016
y[1] (analytic) = 3.0493349361590443544591702765631
y[1] (numeric) = 3.0493349361590443266694422488696
absolute error = 2.77897280276935e-17
relative error = 9.1133734435540764760793716359061e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.125
Order of pole = 0.5158
x[1] = 4.8304799620568667056148714373739
y[1] (analytic) = 3.0498707903362565013835665548134
y[1] (numeric) = 3.0498707903362564735938167538841
absolute error = 2.77897498009293e-17
relative error = 9.1117793871737775953092253587212e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.822
Order of pole = 0.9228
x[1] = 4.8314732142640541001251032267318
y[1] (analytic) = 3.0504066383590672976614257565188
y[1] (numeric) = 3.0504066383590672698716542028423
absolute error = 2.77897715536765e-17
relative error = 9.1101859025017405455814782690994e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8324664664712414946353350160897
y[1] (analytic) = 3.0509424802294075398433205541375
y[1] (numeric) = 3.0509424802294075120535272681801
absolute error = 2.77897932859574e-17
relative error = 9.1085929892286334060637360868542e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.67
Order of pole = 0.6679
x[1] = 4.8334597186784288891455668054476
y[1] (analytic) = 3.0514783159492071160103173966003
y[1] (numeric) = 3.0514783159492070882205023988056
absolute error = 2.77898149977947e-17
relative error = 9.1070006470454862728768431430227e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=618.0MB, alloc=4.4MB, time=76.70
Complex estimate of poles used
Radius of convergence = 3.371
Order of pole = 0.6417
x[1] = 4.8344529708856162836557985948055
y[1] (analytic) = 3.0520141455203950063438189915436
y[1] (numeric) = 3.0520141455203949785539823023329
absolute error = 2.77898366892107e-17
relative error = 9.1054088756434288054049867831575e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8354462230928036781660303841634
y[1] (analytic) = 3.0525499689448992836949600615658
y[1] (numeric) = 3.0525499689448992559051017013379
absolute error = 2.77898583602279e-17
relative error = 9.1038176747138866819929912290099e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8364394752999910726762621735213
y[1] (analytic) = 3.0530857862246471141535567946908
y[1] (numeric) = 3.0530857862246470863636767838223
absolute error = 2.77898800108685e-17
relative error = 9.1022270439484175575689270925087e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8374327275071784671864939628792
y[1] (analytic) = 3.0536215973615647576166104087641
y[1] (numeric) = 3.0536215973615647298267087676091
absolute error = 2.77899016411550e-17
relative error = 9.1006369830389074219895153650557e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8384259797143658616967257522371
y[1] (analytic) = 3.0541574023575775683563652490438
y[1] (numeric) = 3.054157402357577540566441997934
absolute error = 2.77899232511098e-17
relative error = 9.0990474916774393291622815577393e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.146
Order of pole = 0.7139
x[1] = 4.839419231921553256206957541595
y[1] (analytic) = 3.0546932012146099955879218377911
y[1] (numeric) = 3.0546932012146099677979769970362
absolute error = 2.77899448407549e-17
relative error = 9.0974585695561950008498556504322e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8404124841287406507171893309529
y[1] (analytic) = 3.0552289939345855840364052942062
y[1] (numeric) = 3.0552289939345855562464388840935
absolute error = 2.77899664101127e-17
relative error = 9.0958702163677165725026338204342e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8414057363359280452274211203108
y[1] (analytic) = 3.0557647805194269745036895425927
y[1] (numeric) = 3.055764780519426946713701583387
absolute error = 2.77899879592057e-17
relative error = 9.0942824318048080883914017157144e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8423989885431154397376529096687
y[1] (analytic) = 3.05630056097105590443467772618
y[1] (numeric) = 3.0563005609710558766446682381241
absolute error = 2.77900094880559e-17
relative error = 9.0926952155603389424845009747705e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8433922407503028342478846990266
y[1] (analytic) = 3.0568363352913932084831392435743
y[1] (numeric) = 3.056836335291393180693108246889
absolute error = 2.77900309966853e-17
relative error = 9.0911085673274073752129459237612e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8443854929574902287581164883845
y[1] (analytic) = 3.0573721034823588190771038243505
y[1] (numeric) = 3.0573721034823587912870513392343
absolute error = 2.77900524851162e-17
relative error = 9.0895224867994383826863363208401e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8453787451646776232683482777424
y[1] (analytic) = 3.0579078655458717669838130598414
y[1] (numeric) = 3.0579078655458717391937391064706
absolute error = 2.77900739533708e-17
relative error = 9.0879369736700526083199049555639e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8463719973718650177785800671003
y[1] (analytic) = 3.0584436214838501818742298047262
y[1] (numeric) = 3.0584436214838501540841344032549
absolute error = 2.77900954014713e-17
relative error = 9.0863520276330988541235066170442e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8473652495790524122888118564582
y[1] (analytic) = 3.0589793712982112928871058645628
y[1] (numeric) = 3.0589793712982112650969890351234
absolute error = 2.77901168294394e-17
relative error = 9.0847676483824904139887725854155e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8483585017862398067990436458161
y[1] (analytic) = 3.0595151149908714291926083839568
y[1] (numeric) = 3.0595151149908714014024701466594
absolute error = 2.77901382372974e-17
relative error = 9.0831838356125645376326059641362e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.849351753993427201309275435174
y[1] (analytic) = 3.0600508525637460205555053496014
y[1] (numeric) = 3.060050852563745992765345724534
absolute error = 2.77901596250674e-17
relative error = 9.0816005890178206122395086951429e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8503450062006145958195072245319
y[1] (analytic) = 3.0605865840187495978979106219726
y[1] (numeric) = 3.0605865840187495701077296292013
absolute error = 2.77901809927713e-17
relative error = 9.0800179082929200069033826309028e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8513382584078019903297390138898
y[1] (analytic) = 3.061122309357795793861588909011
y[1] (numeric) = 3.0611223093577957660713865685802
absolute error = 2.77902023404308e-17
relative error = 9.0784357931326859172469044579712e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8523315106149893848399708032477
y[1] (analytic) = 3.061658028582797343369821094667
y[1] (numeric) = 3.0616580285827973155795974265989
absolute error = 2.77902236680681e-17
relative error = 9.0768542432323318445051071840226e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8533247628221767793502025926056
y[1] (analytic) = 3.0621937416956660841888303347341
y[1] (numeric) = 3.0621937416956660563985853590289
absolute error = 2.77902449757052e-17
relative error = 9.0752732582872326462193345037739e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 11.89
Order of pole = 2.252
x[1] = 4.8543180150293641738604343819635
y[1] (analytic) = 3.0627294486983129574887693319474
y[1] (numeric) = 3.0627294486983129296985030685835
absolute error = 2.77902662633639e-17
relative error = 9.0736928379929243815324089453601e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8553112672365515683706661713214
y[1] (analytic) = 3.0632651495926480084042692018694
y[1] (numeric) = 3.0632651495926479806139816708036
absolute error = 2.77902875310658e-17
relative error = 9.0721129820451041566602739359806e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8563045194437389628808979606793
y[1] (analytic) = 3.063800844380580386594550340638
y[1] (numeric) = 3.063800844380580358804241561805
absolute error = 2.77903087788330e-17
relative error = 9.0705336901398584449204099063189e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.173
Order of pole = 1.137
x[1] = 4.8572977716509263573911297500372
y[1] (analytic) = 3.0643365330640183468030957051993
y[1] (numeric) = 3.0643365330640183190127656985121
absolute error = 2.77903300066872e-17
relative error = 9.0689549619733690314303129570637e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8582910238581137519013615393951
y[1] (analytic) = 3.0648722156448692494168869162019
y[1] (numeric) = 3.0648722156448692216265357015517
absolute error = 2.77903512146502e-17
relative error = 9.0673767972420760552271202576131e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.859284276065301146411593328753
y[1] (analytic) = 3.0654078921250395610252035932778
y[1] (numeric) = 3.0654078921250395332348311905341
absolute error = 2.77903724027437e-17
relative error = 9.0657991956426125258485515444773e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8602775282724885409218251181109
y[1] (analytic) = 3.06594356250643485497798633199
y[1] (numeric) = 3.0659435625064348271875927610007
absolute error = 2.77903935709893e-17
relative error = 9.0642221568718041413498065537507e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8612707804796759354320569074688
y[1] (analytic) = 3.0664792267909598119437637312771
y[1] (numeric) = 3.066479226790959784153349011868
absolute error = 2.77904147194091e-17
relative error = 9.0626456806268647706594352048893e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
memory used=621.8MB, alloc=4.4MB, time=77.20
x[1] = 4.8622640326868633299422886968267
y[1] (analytic) = 3.0670148849805182204671438797784
y[1] (numeric) = 3.067014884980518192676708031754
absolute error = 2.77904358480244e-17
relative error = 9.0610697666049722362285914143184e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8632572848940507244525204861846
y[1] (analytic) = 3.0675505370770129775258707089804
y[1] (numeric) = 3.0675505370770129497354137521236
absolute error = 2.77904569568568e-17
relative error = 9.0594944145036269243573609501381e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8642505371012381189627522755425
y[1] (analytic) = 3.0680861830823460890874456206752
y[1] (numeric) = 3.0680861830823460612969675747472
absolute error = 2.77904780459280e-17
relative error = 9.0579196240205863029674479189541e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8652437893084255134729840649004
y[1] (analytic) = 3.068621822998418670665314795778
y[1] (numeric) = 3.0686218229984186428748156805182
absolute error = 2.77904991152598e-17
relative error = 9.0563453948538646838131163466500e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8662370415156129079832158542583
y[1] (analytic) = 3.069157456827130947874622591107
y[1] (numeric) = 3.0691574568271309200841024262336
absolute error = 2.77905201648734e-17
relative error = 9.0547717267015049093346519881275e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8672302937228003024934476436162
y[1] (analytic) = 3.0696930845703822569875314302858
y[1] (numeric) = 3.0696930845703822291969902354952
absolute error = 2.77905411947906e-17
relative error = 9.0531986192619692329439912022063e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8682235459299876970036794329741
y[1] (analytic) = 3.0702287062300710454881085944806
y[1] (numeric) = 3.070228706230071017697546389448
absolute error = 2.77905622050326e-17
relative error = 9.0516260722337480894473011330486e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.869216798137175091513911222332
y[1] (analytic) = 3.0707643218080948726267803182479
y[1] (numeric) = 3.0707643218080948448361971226266
absolute error = 2.77905831956213e-17
relative error = 9.0500540853157834044865695671266e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 12.1
Order of pole = 2.305
x[1] = 4.8702100503443624860241430116899
y[1] (analytic) = 3.071299931306350409974353595319
y[1] (numeric) = 3.0712999313063503821837494287412
absolute error = 2.77906041665778e-17
relative error = 9.0484826582069797949708816383750e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8712033025515498805343748010478
y[1] (analytic) = 3.0718355347267334419756060987136
y[1] (numeric) = 3.07183553472673341418498098079
absolute error = 2.77906251179236e-17
relative error = 9.0469117906065952341974488178174e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 15.84
Order of pole = 3.589
x[1] = 4.8721965547587372750446065904057
y[1] (analytic) = 3.0723711320711388665024446191258
y[1] (numeric) = 3.0723711320711388387117985694458
absolute error = 2.77906460496800e-17
relative error = 9.0453414822140454416389661879285e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8731898069659246695548383797636
y[1] (analytic) = 3.072906723341460695406632425091
y[1] (numeric) = 3.0729067233414606676159654632224
absolute error = 2.77906669618686e-17
relative error = 9.0437717327290664445734586306497e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.876
Order of pole = 0.6849
x[1] = 4.8741830591731120640650701691215
y[1] (analytic) = 3.073442308539592055072085947998
y[1] (numeric) = 3.0734423085395920272813980934875
absolute error = 2.77906878545105e-17
relative error = 9.0422025418514539912633800751001e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8751763113802994585753019584794
y[1] (analytic) = 3.0739778876674251869667411945747
y[1] (numeric) = 3.0739778876674251591760324669475
absolute error = 2.77907087276272e-17
relative error = 9.0406339092813562659177419263967e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8761695635874868530855337478373
y[1] (analytic) = 3.0745134607268514481939902890325
y[1] (numeric) = 3.0745134607268514204032607077926
absolute error = 2.77907295812399e-17
relative error = 9.0390658347190458901792031275361e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8771628157946742475957655371952
y[1] (analytic) = 3.0750490277197613120436885466202
y[1] (numeric) = 3.0750490277197612842529381312503
absolute error = 2.77907504153699e-17
relative error = 9.0374983178650498807610794858029e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 9.936
Order of pole = 1.714
x[1] = 4.8781560680018616421059973265531
y[1] (analytic) = 3.0755845886480443685427324798967
y[1] (numeric) = 3.0755845886480443407519612498583
absolute error = 2.77907712300384e-17
relative error = 9.0359313584200843864539424922304e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.879149320209049036616229115911
y[1] (analytic) = 3.0761201435135893250052091385967
y[1] (numeric) = 3.0761201435135892972144171133301
absolute error = 2.77907920252666e-17
relative error = 9.0343649560850870187723822776167e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8801425724162364311264609052689
y[1] (analytic) = 3.0766556923182840065821171835261
y[1] (numeric) = 3.0766556923182839787913043824505
absolute error = 2.77908128010756e-17
relative error = 9.0327991105611841432009031659957e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8811358246234238256366926946268
y[1] (analytic) = 3.0771912350640153568106600944865
y[1] (numeric) = 3.0771912350640153290198265369998
absolute error = 2.77908335574867e-17
relative error = 9.0312338215497881932817181490429e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8821290768306112201469244839847
y[1] (analytic) = 3.0777267717526694381631119117936
y[1] (numeric) = 3.0777267717526694103722576172726
absolute error = 2.77908542945210e-17
relative error = 9.0296690887524674425265483129497e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8831223290377986146571562733426
y[1] (analytic) = 3.0782623023861314325952559105187
y[1] (numeric) = 3.0782623023861314048043808983192
absolute error = 2.77908750121995e-17
relative error = 9.0281049118709783415848077147224e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8841155812449860091673880627005
y[1] (analytic) = 3.0787978269662856420943966061478
y[1] (numeric) = 3.0787978269662856143035008956045
absolute error = 2.77908957105433e-17
relative error = 9.0265412906073303018870952022845e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8851088334521734036776198520584
y[1] (analytic) = 3.0793333454950154892269454899182
y[1] (numeric) = 3.0793333454950154614360291003446
absolute error = 2.77909163895736e-17
relative error = 9.0249782246637854625821701268108e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8861020856593607981878516414163
y[1] (analytic) = 3.0798688579742035176855808916588
y[1] (numeric) = 3.0798688579742034898946438423474
absolute error = 2.77909370493114e-17
relative error = 9.0234157137427610509886251172936e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 17.8
Order of pole = 4.383
x[1] = 4.8870953378665481926980834307742
y[1] (analytic) = 3.0804043644057313928359823675285
y[1] (numeric) = 3.0804043644057313650450246777511
absolute error = 2.77909576897774e-17
relative error = 9.0218537575467967714475023958412e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8880885900737355872083152201321
y[1] (analytic) = 3.0809398647914799022631400096144
y[1] (numeric) = 3.0809398647914798744721616986215
absolute error = 2.77909783109929e-17
relative error = 9.0202923557788468044773266565436e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 27.52
Order of pole = 9.782
x[1] = 4.88908184228092298171854700949
y[1] (analytic) = 3.0814753591333289563172390739152
y[1] (numeric) = 3.0814753591333289285262401609365
absolute error = 2.77909989129787e-17
relative error = 9.0187315081419224617314351682965e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
memory used=625.6MB, alloc=4.4MB, time=77.71
x[1] = 4.8900750944881103762287787988479
y[1] (analytic) = 3.0820108474331575886591203228117
y[1] (numeric) = 3.0820108474331575608681008270559
absolute error = 2.77910194957558e-17
relative error = 9.0171712143393192477853562399950e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.921
Order of pole = 1.086
x[1] = 4.8910683466952977707390105882058
y[1] (analytic) = 3.0825463296928439568053164776876
y[1] (numeric) = 3.0825463296928439290142764183427
absolute error = 2.77910400593449e-17
relative error = 9.0156114740744543967186042253104e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8920615989024851652492423775637
y[1] (analytic) = 3.0830818059142653426726651769391
y[1] (numeric) = 3.0830818059142653148816045731721
absolute error = 2.77910606037670e-17
relative error = 9.0140522870510613638777386038525e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8930548511096725597594741669216
y[1] (analytic) = 3.0836172760992981531224988341772
y[1] (numeric) = 3.0836172760992981253314177051342
absolute error = 2.77910811290430e-17
relative error = 9.0124936529730598205506785581850e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8940481033168599542697059562795
y[1] (analytic) = 3.0841527402498179205044117910014
y[1] (numeric) = 3.0841527402498178927133101558077
absolute error = 2.77911016351937e-17
relative error = 9.0109355715445554793494130944317e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8950413555240473487799377456374
y[1] (analytic) = 3.0846881983676993031996051582917
y[1] (numeric) = 3.084688198367699275408483036052
absolute error = 2.77911221222397e-17
relative error = 9.0093780424698075016015051557052e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8960346077312347432901695349953
y[1] (analytic) = 3.0852236504548160861638097395406
y[1] (numeric) = 3.0852236504548160583726671493387
absolute error = 2.77911425902019e-17
relative error = 9.0078210654533904140617391980274e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.8970278599384221378004013243532
y[1] (analytic) = 3.0857590965130411814697874293141
y[1] (numeric) = 3.085759096513041153678624390213
absolute error = 2.77911630391011e-17
relative error = 9.0062646402000641946295956333039e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 12.44
Order of pole = 2.392
x[1] = 4.8980211121456095323106331137111
y[1] (analytic) = 3.0862945365442466288494114795091
y[1] (numeric) = 3.0862945365442466010582280105511
absolute error = 2.77911834689580e-17
relative error = 9.0047087664147740985755406695376e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 9.427
Order of pole = 1.585
x[1] = 4.899014364352796926820864903069
y[1] (analytic) = 3.0868299705503035962353260256448
y[1] (numeric) = 3.0868299705503035684441221458516
absolute error = 2.77912038797932e-17
relative error = 9.0031534438026504849623904635064e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9000076165599843213310966924269
y[1] (analytic) = 3.0873653985330823803021852649994
y[1] (numeric) = 3.0873653985330823525109609933722
absolute error = 2.77912242716272e-17
relative error = 9.0015986720690086432614941382044e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.472
Order of pole = 0.7441
x[1] = 4.9010008687671717158413284817848
y[1] (analytic) = 3.0879008204944524070074726779797
y[1] (numeric) = 3.0879008204944523792162280334987
absolute error = 2.77912446444810e-17
relative error = 9.0000444509195429269223045196311e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9029873731815465048617920605006
y[1] (analytic) = 3.0889716463604395418193911201913
y[1] (numeric) = 3.0889716463604395140281057868614
absolute error = 2.77912853333299e-17
relative error = 8.9969376591963213871279583326661e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9039806253887338993720238498585
y[1] (analytic) = 3.0895070502687911531166369397057
y[1] (numeric) = 3.0895070502687911253253312903397
absolute error = 2.77913056493660e-17
relative error = 8.9953850880347141688700624542615e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9049738775959212938822556392164
y[1] (analytic) = 3.0900424481632030145122455082166
y[1] (numeric) = 3.0900424481632029867209195617125
absolute error = 2.77913259465041e-17
relative error = 8.9938330662816445981595535799743e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9059671298031086883924874285743
y[1] (analytic) = 3.0905778400455402064754638989692
y[1] (numeric) = 3.0905778400455401786841176742045
absolute error = 2.77913462247647e-17
relative error = 8.9922815936437276854156021138932e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9069603820102960829027192179322
y[1] (analytic) = 3.0911132259176669419944865685727
y[1] (numeric) = 3.0911132259176669142031200844048
absolute error = 2.77913664841679e-17
relative error = 8.9907306698276649765630001440618e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9079536342174834774129510072901
y[1] (analytic) = 3.0916486057814465671143458041744
y[1] (numeric) = 3.0916486057814465393229590794399
absolute error = 2.77913867247345e-17
relative error = 8.9891802945406002625771644035341e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.013
Order of pole = 0.5125
x[1] = 4.908946886424670871923182796648
y[1] (analytic) = 3.0921839796387415614743853296965
y[1] (numeric) = 3.0921839796387415336829783832115
absolute error = 2.77914069464850e-17
relative error = 8.9876304674897957878724291923423e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.392
Order of pole = 0.9973
x[1] = 4.9099401386318582664334145860059
y[1] (analytic) = 3.0927193474914135388453174587179
y[1] (numeric) = 3.0927193474914135110538903092782
absolute error = 2.77914271494397e-17
relative error = 8.9860811883826644690581227322069e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9109333908390456609436463753638
y[1] (analytic) = 3.0932547093413232476658641811594
y[1] (numeric) = 3.0932547093413232198744168475406
absolute error = 2.77914473336188e-17
relative error = 8.9845324569268020802493759090924e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9119266430462330554538781647217
y[1] (analytic) = 3.0937900651903305715789825705113
y[1] (numeric) = 3.0937900651903305437875150714685
absolute error = 2.77914674990428e-17
relative error = 8.9829842728301163734156709303110e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9129198952534204499641099540796
y[1] (analytic) = 3.0943254150402945299676748979234
y[1] (numeric) = 3.0943254150402945021761872521912
absolute error = 2.77914876457322e-17
relative error = 8.9814366358007298441576333927114e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9139131474606078444743417434375
y[1] (analytic) = 3.094860758893073278490383839058
y[1] (numeric) = 3.0948607588930732506988760653509
absolute error = 2.77915077737071e-17
relative error = 8.9798895455468502867866184634799e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9149063996677952389845735327954
y[1] (analytic) = 3.0953960967505241096159731591908
y[1] (numeric) = 3.0953960967505240818244452762031
absolute error = 2.77915278829877e-17
relative error = 8.9783430017769322381301356439137e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9158996518749826334948053221533
y[1] (analytic) = 3.095931428614503453158294261623
y[1] (numeric) = 3.0959314286145034253667462880286
absolute error = 2.77915479735944e-17
relative error = 8.9767970041997090520243421335934e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9168929040821700280050371115112
y[1] (analytic) = 3.0964667544868668768103389840525
y[1] (numeric) = 3.096466754486866849018770938505
absolute error = 2.77915680455475e-17
relative error = 8.9752515525240957610602679047526e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9178861562893574225152689008691
y[1] (analytic) = 3.0970020743694690866779790271358
y[1] (numeric) = 3.0970020743694690588863909282686
absolute error = 2.77915880988672e-17
relative error = 8.9737066464591889069611948333087e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=629.4MB, alloc=4.4MB, time=78.19
NO POLE
x[1] = 4.918879408496544817025500690227
y[1] (analytic) = 3.097537388264163927813292399056
y[1] (numeric) = 3.0975373882641639000216842654826
absolute error = 2.77916081335734e-17
relative error = 8.9721622857142018037289463257282e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9198726607037322115357324795849
y[1] (analytic) = 3.0980726961728043847474772594958
y[1] (numeric) = 3.0980726961728043569558491098094
absolute error = 2.77916281496864e-17
relative error = 8.9706184699986903711079091217287e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9208659129109196060459642689428
y[1] (analytic) = 3.0986079980972425820233535459984
y[1] (numeric) = 3.0986079980972425542317053987719
absolute error = 2.77916481472265e-17
relative error = 8.9690751990224237358614847058828e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 12.6
Order of pole = 2.426
x[1] = 4.9218591651181070005561960583007
y[1] (analytic) = 3.0991432940393297847274527652868
y[1] (numeric) = 3.0991432940393297569357846390731
absolute error = 2.77916681262137e-17
relative error = 8.9675324724952872341501735405549e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9228524173252943950664278476586
y[1] (analytic) = 3.0996785840009163990216963316967
y[1] (numeric) = 3.0996785840009163712300082450288
absolute error = 2.77916880866679e-17
relative error = 8.9659902901273468214759871019505e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 9.181
Order of pole = 1.522
x[1] = 4.9238456695324817895766596370165
y[1] (analytic) = 3.1002138679838519726746628344643
y[1] (numeric) = 3.100213867983851944882954805855
absolute error = 2.77917080286093e-17
relative error = 8.9644486516289779275908608523354e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9248389217396691840868914263744
y[1] (analytic) = 3.1007491459899851955924446151966
y[1] (numeric) = 3.1007491459899851678007166631386
absolute error = 2.77917279520580e-17
relative error = 8.9629075567107361757871973774072e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9258321739468565785971232157323
y[1] (analytic) = 3.1012844180211639003490940364411
y[1] (numeric) = 3.1012844180211638725573461794071
absolute error = 2.77917478570340e-17
relative error = 8.9613670050833572149050008725787e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9268254261540439731073550050902
y[1] (analytic) = 3.1018196840792350627166598218576
y[1] (numeric) = 3.1018196840792350349248920783006
absolute error = 2.77917677435570e-17
relative error = 8.9598269964576920732460130229295e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9278186783612313676175867944481
y[1] (analytic) = 3.1023549441660448021948138480855
y[1] (numeric) = 3.1023549441660447744030262364383
absolute error = 2.77917876116472e-17
relative error = 8.9582875305449649152029439357653e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.928811930568418762127818583806
y[1] (analytic) = 3.1028901982834383825400687679852
y[1] (numeric) = 3.1028901982834383547482613066606
absolute error = 2.77918074613246e-17
relative error = 8.9567486070565471108552189635124e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 9.912
Order of pole = 1.689
x[1] = 4.9298051827756061566380503731639
y[1] (analytic) = 3.103425446433260212294586844526
y[1] (numeric) = 3.103425446433260184502759551917
absolute error = 2.77918272926090e-17
relative error = 8.9552102257039570965961747085039e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9307984349827935511482821625218
y[1] (analytic) = 3.1039606886173538453145803741796
y[1] (numeric) = 3.1039606886173538175227332686595
absolute error = 2.77918471055201e-17
relative error = 8.9536723861988924528199885500541e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9317916871899809456585139518797
y[1] (analytic) = 3.1044959248375619812983040782712
y[1] (numeric) = 3.1044959248375619535064371781932
absolute error = 2.77918669000780e-17
relative error = 8.9521350882533907938325970147705e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9327849393971683401687457412376
y[1] (analytic) = 3.1050311550957264663136398403275
y[1] (numeric) = 3.1050311550957264385217531640249
absolute error = 2.77918866763026e-17
relative error = 8.9505983315796362276194684413117e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9337781916043557346789775305955
y[1] (analytic) = 3.1055663793936882933252741670562
y[1] (numeric) = 3.1055663793936882655333677328426
absolute error = 2.77919064342136e-17
relative error = 8.9490621158899592172373318491048e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9347714438115431291892093199534
y[1] (analytic) = 3.1061015977332876027214687501822
y[1] (numeric) = 3.1061015977332875749295425763516
absolute error = 2.77919261738306e-17
relative error = 8.9475264408968686370588733029411e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9357646960187305236994411093113
y[1] (analytic) = 3.1066368101163636828404245059572
y[1] (numeric) = 3.1066368101163636550484786107837
absolute error = 2.77919458951735e-17
relative error = 8.9459913063131803633457166703324e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9367579482259179182096728986692
y[1] (analytic) = 3.1071720165447549704962394687527
y[1] (numeric) = 3.1071720165447549427042738704906
absolute error = 2.77919655982621e-17
relative error = 8.9444567118518882630894013296966e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 9.654
Order of pole = 1.625
x[1] = 4.9377512004331053127199046880271
y[1] (analytic) = 3.1077072170202990515044609147408
y[1] (numeric) = 3.1077072170202990237124756316246
absolute error = 2.77919852831162e-17
relative error = 8.9429226572261962064943632624540e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.938744452640292707230136477385
y[1] (analytic) = 3.1082424115448326612072320912601
y[1] (numeric) = 3.108242411544832633415227141505
absolute error = 2.77920049497551e-17
relative error = 8.9413891421493570112647548548670e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9397377048474801017403682667429
y[1] (analytic) = 3.1087776001201916849980339270604
y[1] (numeric) = 3.1087776001201916572060093288616
absolute error = 2.77920245981988e-17
relative error = 8.9398561663350583919956594729019e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9407309570546674962506000561008
y[1] (analytic) = 3.1093127827482111588460220982102
y[1] (numeric) = 3.1093127827482111310539778697432
absolute error = 2.77920442284670e-17
relative error = 8.9383237294971009591443785270505e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.467
Order of pole = 0.7405
x[1] = 4.9417242092618548907608318454587
y[1] (analytic) = 3.109847959430725269819959824052
y[1] (numeric) = 3.1098479594307252420278959834731
absolute error = 2.77920638405789e-17
relative error = 8.9367918313493337978061728481262e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 10.28
Order of pole = 1.773
x[1] = 4.9427174614690422852710636348166
y[1] (analytic) = 3.1103831301695673566117467671845
y[1] (numeric) = 3.1103831301695673288196633326301
absolute error = 2.77920834345544e-17
relative error = 8.9352604716060402183290950330906e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9437107136762296797812954241745
y[1] (analytic) = 3.1109182949665699100595444110437
y[1] (numeric) = 3.1109182949665698822674414006306
absolute error = 2.77921030104131e-17
relative error = 8.9337296499816159220930616720646e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.882
Order of pole = 0.6815
x[1] = 4.9447039658834170742915272135324
y[1] (analytic) = 3.1114534538235645736704982882575
y[1] (numeric) = 3.1114534538235645458783757200831
absolute error = 2.77921225681744e-17
relative error = 8.9321993661906010319619403411636e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9456972180906044688017590028903
y[1] (analytic) = 3.1119886067423821441430574325422
y[1] (numeric) = 3.1119886067423821163509153246843
absolute error = 2.77921421078579e-17
relative error = 8.9306696199478084910796367156039e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=633.2MB, alloc=4.4MB, time=78.67
NO POLE
x[1] = 4.9466904702977918633119907922482
y[1] (analytic) = 3.1125237537248525718888914265079
y[1] (numeric) = 3.1125237537248525440967297970249
absolute error = 2.77921616294830e-17
relative error = 8.9291404109681953030713692606296e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9476837225049792578222225816061
y[1] (analytic) = 3.113058894772804961554405417339
y[1] (numeric) = 3.1130588947728049337622242842698
absolute error = 2.77921811330692e-17
relative error = 8.9276117389669587642870276324088e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.144
Order of pole = 0.6189
x[1] = 4.948676974712166652332454370964
y[1] (analytic) = 3.1135940298880675725418534719144
y[1] (numeric) = 3.1135940298880675447496528532784
absolute error = 2.77922006186360e-17
relative error = 8.9260836036595041279199679706069e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 12.19
Order of pole = 2.287
x[1] = 4.9496702269193540468426861603219
y[1] (analytic) = 3.1141291590724678195300506425306
y[1] (numeric) = 3.1141291590724677917378305563278
absolute error = 2.77922200862028e-17
relative error = 8.9245560047614123014803061321991e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.198
Order of pole = 0.7118
x[1] = 4.9506634791265414413529179496798
y[1] (analytic) = 3.1146642823278322729946841139932
y[1] (numeric) = 3.1146642823278322452024445782042
absolute error = 2.77922395357890e-17
relative error = 8.9230289419884717899592133178712e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9516567313337288358631497390377
y[1] (analytic) = 3.1151993996559866597282238024399
y[1] (numeric) = 3.1151993996559866319359648350261
absolute error = 2.77922589674138e-17
relative error = 8.9215024150566143040623159399426e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9526499835409162303733815283956
y[1] (analytic) = 3.1157345110587558633594327758613
y[1] (numeric) = 3.1157345110587558355671543947644
absolute error = 2.77922783810969e-17
relative error = 8.9199764236821392912577237174219e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9536432357481036248836133177535
y[1] (analytic) = 3.1162696165379639248724778658842
y[1] (numeric) = 3.1162696165379638970801800890269
absolute error = 2.77922977768573e-17
relative error = 8.9184509675813285321642081711699e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9546364879552910193938451071114
y[1] (analytic) = 3.1168047160954340431256408399894
y[1] (numeric) = 3.1168047160954340153333236852749
absolute error = 2.77923171547145e-17
relative error = 8.9169260464708311533281678411275e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9556297401624784139040768964693
y[1] (analytic) = 3.117339809732988575369630502931
y[1] (numeric) = 3.1173398097329885475772939882435
absolute error = 2.77923365146875e-17
relative error = 8.9154016600673425135537412974765e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9566229923696658084143086858272
y[1] (analytic) = 3.1178748974524490377654960957347
y[1] (numeric) = 3.1178748974524490099731402389387
absolute error = 2.77923558567960e-17
relative error = 8.9138778080879890297187186636147e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.458
Order of pole = 0.6434
x[1] = 4.9576162445768532029245404751851
y[1] (analytic) = 3.1184099792556361059021423602483
y[1] (numeric) = 3.1184099792556360781097671791894
absolute error = 2.77923751810589e-17
relative error = 8.9123544902498467805515755043604e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 13.59
Order of pole = 2.714
x[1] = 4.958609496784040597434772264543
y[1] (analytic) = 3.1189450551443696153134466368294
y[1] (numeric) = 3.118945055144369587521052149334
absolute error = 2.77923944874954e-17
relative error = 8.9108317062702942211474431721507e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9596027489912279919450040539009
y[1] (analytic) = 3.1194801251204685619949783623532
y[1] (numeric) = 3.1194801251204685342025645862283
absolute error = 2.77924137761249e-17
relative error = 8.9093094558669798550113993104394e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9605960011984153864552358432588
y[1] (analytic) = 3.12001518918575110292032133533
y[1] (numeric) = 3.1200151891857510751278882883636
absolute error = 2.77924330469664e-17
relative error = 8.9077877387576296837526886375570e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9615892534056027809654676326167
y[1] (analytic) = 3.1205502473420345565569991145302
y[1] (numeric) = 3.1205502473420345287645468144911
absolute error = 2.77924523000391e-17
relative error = 8.9062665546602394024512410616579e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9625825056127901754756994219746
y[1] (analytic) = 3.1210852995911354033820039171158
y[1] (numeric) = 3.1210852995911353755895323817538
absolute error = 2.77924715353620e-17
relative error = 8.9047459032929459959763430757912e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.624
Order of pole = 0.8787
x[1] = 4.9635757578199775699859312113325
y[1] (analytic) = 3.1216203459348692863969293818873
y[1] (numeric) = 3.121620345934869258604438628933
absolute error = 2.77924907529543e-17
relative error = 8.9032257843741557445325373655781e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9645690100271649644961630006904
y[1] (analytic) = 3.1221553863750510116427075628588
y[1] (numeric) = 3.1221553863750509838501976100237
absolute error = 2.77925099528351e-17
relative error = 8.9017061976224478935128634964372e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9655622622343523590063947900483
y[1] (analytic) = 3.1226904209134945487139505179842
y[1] (numeric) = 3.1226904209134945209214213829608
absolute error = 2.77925291350234e-17
relative error = 8.9001871427565744934004307376699e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9665555144415397535166265794062
y[1] (analytic) = 3.1232254495520130312728968574626
y[1] (numeric) = 3.1232254495520130034803485579246
absolute error = 2.77925482995380e-17
relative error = 8.8986686194954282216657630324189e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9675487666487271480268583687641
y[1] (analytic) = 3.1237604722924187575629636156617
y[1] (numeric) = 3.1237604722924187297703961692635
absolute error = 2.77925674463982e-17
relative error = 8.8971506275582663393273355069210e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.968542018855914542537090158122
y[1] (analytic) = 3.1242954891365231909219038103027
y[1] (numeric) = 3.1242954891365231631293172346798
absolute error = 2.77925865756229e-17
relative error = 8.8956331666644223019637222593147e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 4.339
Order of pole = 0.725
x[1] = 4.9695352710631019370473219474799
y[1] (analytic) = 3.1248305000861369602945700521643
y[1] (numeric) = 3.1248305000861369325019643649333
absolute error = 2.77926056872310e-17
relative error = 8.8941162365334336895644191900547e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9705285232702893315575537368378
y[1] (analytic) = 3.1253655051430698607452845681701
y[1] (numeric) = 3.1253655051430698329526597869287
absolute error = 2.77926247812414e-17
relative error = 8.8925998368850420199647390594615e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9715217754774767260677855261957
y[1] (analytic) = 3.1259005043091308539698160003336
y[1] (numeric) = 3.1259005043091308261771721426607
absolute error = 2.77926438576729e-17
relative error = 8.8910839674391605717045537080002e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9725150276846641205780173155536
y[1] (analytic) = 3.1264354975861280688069633426472
y[1] (numeric) = 3.1264354975861280410143004261025
absolute error = 2.77926629165447e-17
relative error = 8.8895686279160341517810652025487e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9735082798918515150882491049115
y[1] (analytic) = 3.126970484975868801749747377611
y[1] (numeric) = 3.1269704849758687739570654197355
absolute error = 2.77926819578755e-17
relative error = 8.8880538180359509817189528989610e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
memory used=637.0MB, alloc=4.4MB, time=79.16
NO POLE
x[1] = 4.9745015320990389095984808942694
y[1] (analytic) = 3.1275054664801595174562099737103
y[1] (numeric) = 3.1275054664801594896635089920264
absolute error = 2.77927009816839e-17
relative error = 8.8865395375193705461006435509306e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9754947843062263041087126836273
y[1] (analytic) = 3.128040442100805849259821604763
y[1] (numeric) = 3.1280404421008058214671016167741
absolute error = 2.77927199879889e-17
relative error = 8.8850257860870832788094999713064e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 3.178
Order of pole = 0.6204
x[1] = 4.9764880365134136986189444729852
y[1] (analytic) = 3.1285754118396125996794974516668
y[1] (numeric) = 3.1285754118396125718867584748573
absolute error = 2.77927389768095e-17
relative error = 8.8835125634600824145861714127031e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9774812887206010931291762623431
y[1] (analytic) = 3.1291103756983837409292224466943
y[1] (numeric) = 3.1291103756983837131364644985301
absolute error = 2.77927579481642e-17
relative error = 8.8819998693594040140894404756574e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.978474540927788487639408051701
y[1] (analytic) = 3.1296453336789224154272856200952
y[1] (numeric) = 3.1296453336789223876345087180235
absolute error = 2.77927769020717e-17
relative error = 8.8804877035063505830688195105991e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9794677931349758821496398410589
y[1] (analytic) = 3.1301802857830309363051241083774
y[1] (numeric) = 3.1301802857830309085123282698266
absolute error = 2.77927958385508e-17
relative error = 8.8789760656224588859120167069276e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9804610453421632766598716304168
y[1] (analytic) = 3.1307152320125107879157771832553
y[1] (numeric) = 3.1307152320125107601229624256351
absolute error = 2.77928147576202e-17
relative error = 8.8774649554294358506231837259646e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9814542975493506711701034197747
y[1] (analytic) = 3.1312501723691626263419506598677
y[1] (numeric) = 3.131250172369162598549117000569
absolute error = 2.77928336592987e-17
relative error = 8.8759543726492222840192444610876e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9824475497565380656803352091326
y[1] (analytic) = 3.1317851068547862799036920424828
y[1] (numeric) = 3.1317851068547862521108394988781
absolute error = 2.77928525436047e-17
relative error = 8.8744443170038330069431757635176e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9834408019637254601905669984905
y[1] (analytic) = 3.1323200354711807496656767655245
y[1] (numeric) = 3.1323200354711807218728053549676
absolute error = 2.77928714105569e-17
relative error = 8.8729347882155802559152995332481e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9844340541709128547007987878484
y[1] (analytic) = 3.1328549582201442099441058873692
y[1] (numeric) = 3.1328549582201441821512156271951
absolute error = 2.77928902601741e-17
relative error = 8.8714257860070095780226408726269e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9854273063781002492110305772063
y[1] (analytic) = 3.1333898751034740088132155939794
y[1] (numeric) = 3.1333898751034739810203065015047
absolute error = 2.77929090924747e-17
relative error = 8.8699173101007400485335845637563e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9864205585852876437212623665642
y[1] (analytic) = 3.1339247861229666686113988690593
y[1] (numeric) = 3.1339247861229666408184709615821
absolute error = 2.77929279074772e-17
relative error = 8.8684093602196237408652492361311e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 7.126
Order of pole = 1.104
x[1] = 4.9874138107924750382314941559221
y[1] (analytic) = 3.1344596912804178864469396870332
y[1] (numeric) = 3.134459691280417858653992981833
absolute error = 2.77929467052002e-17
relative error = 8.8669019360867455161509930974168e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.98840706299966243274172594528
y[1] (analytic) = 3.1349945905776225347033600847662
y[1] (numeric) = 3.1349945905776225069103945991038
absolute error = 2.77929654856624e-17
relative error = 8.8653950374254228130376893038601e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9894003152068498272519577346379
y[1] (analytic) = 3.135529484016374661544380467565
y[1] (numeric) = 3.135529484016374633751396218683
absolute error = 2.77929842488820e-17
relative error = 8.8638886639590140824715014452006e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 9.821
Order of pole = 1.645
x[1] = 4.9903935674140372217621895239958
y[1] (analytic) = 3.136064371598467491418493504619
y[1] (numeric) = 3.1360643715984674636254905097414
absolute error = 2.77930029948776e-17
relative error = 8.8623828154112057250467994085539e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9913868196212246162724213133537
y[1] (analytic) = 3.1365992533256934255631519686551
y[1] (numeric) = 3.1365992533256933977701302449875
absolute error = 2.77930217236676e-17
relative error = 8.8608774915058205098335653743025e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9923800718284120107826531027116
y[1] (analytic) = 3.1371341291998440425085708742061
y[1] (numeric) = 3.1371341291998440147155304389356
absolute error = 2.77930404352705e-17
relative error = 8.8593726919669130752513298885181e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9933733240355994052928848920695
y[1] (analytic) = 3.1376689992227100985811442685086
y[1] (numeric) = 3.1376689992227100707880851388039
absolute error = 2.77930591297047e-17
relative error = 8.8578684165187059783097008287311e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.323
Order of pole = 0.836
x[1] = 4.9943665762427867998031166814274
y[1] (analytic) = 3.1382038633960815284064770286699
y[1] (numeric) = 3.1382038633960815006133992216815
absolute error = 2.77930778069884e-17
relative error = 8.8563646648855576746216667241748e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9953598284499741943133484707853
y[1] (analytic) = 3.1387387217217474454120320183638
y[1] (numeric) = 3.1387387217217474176189355512237
absolute error = 2.77930964671401e-17
relative error = 8.8548614367921216907553391550475e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.9963530806571615888235802601432
y[1] (analytic) = 3.1392735742014961423293929569364
y[1] (numeric) = 3.1392735742014961145362778467583
absolute error = 2.77931151101781e-17
relative error = 8.8533587319631870888520312514923e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 5.165
Order of pole = 0.816
x[1] = 4.9973463328643489833338120495011
y[1] (analytic) = 3.1398084208371150916961433534272
y[1] (numeric) = 3.1398084208371150639030096173064
absolute error = 2.77931337361208e-17
relative error = 8.8518565501237738869309834701694e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
NO POLE
x[1] = 4.998339585071536377844043838859
y[1] (analytic) = 3.1403432616303909463573618576314
y[1] (numeric) = 3.1403432616303909185642095126451
absolute error = 2.77931523449863e-17
relative error = 8.8503548909990054761292640703774e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.497
Order of pole = 0.5738
x[1] = 4.9993328372787237723542756282169
y[1] (analytic) = 3.1408780965831095399667343799553
y[1] (numeric) = 3.1408780965831095121735634431623
absolute error = 2.77931709367930e-17
relative error = 8.8488537543142995506084991273232e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 6.435
Order of pole = 0.9902
x[1] = 5.0003260894859111668645074175748
y[1] (analytic) = 3.1414129256970558874872833314372
y[1] (numeric) = 3.1414129256970558596940938198781
absolute error = 2.77931895115591e-17
relative error = 8.8473531397952086815287576693809e-16 %
Correct digits = 17
h = 0.00099325220718739451023178935787852
Finished!
diff ( y , x , 1 ) = (0.1 * x + 0.2) / (0.2 * x + 0.3);
Iterations = 4922
Total Elapsed Time = 1 Minutes 19 Seconds
Elapsed Time(since restart) = 1 Minutes 19 Seconds
Time to Timeout = 1 Minutes 40 Seconds
Percent Done = 100 %
> quit
memory used=640.6MB, alloc=4.4MB, time=79.59