|\^/| Maple 12 (IBM INTEL LINUX) ._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2008 \ MAPLE / All rights reserved. Maple is a trademark of <____ ____> Waterloo Maple Inc. | Type ? for help. > #BEGIN OUTFILE1 > > # Begin Function number 3 > display_alot := proc(iter) > global > ALWAYS, > INFO, > glob_iolevel, > DEBUGL, > DEBUGMASSIVE, > glob_max_terms, > #Top Generate Globals Decl > glob_normmax, > glob_iter, > glob_curr_iter_when_opt, > glob_max_sec, > glob_unchanged_h_cnt, > glob_smallish_float, > glob_dump, > glob_optimal_start, > glob_no_eqs, > glob_max_minutes, > glob_abserr, > glob_optimal_done, > glob_initial_pass, > glob_start, > glob_orig_start_sec, > glob_warned, > glob_optimal_clock_start_sec, > glob_relerr, > glob_log10_relerr, > glob_hmin_init, > glob_disp_incr, > glob_clock_start_sec, > days_in_year, > glob_max_opt_iter, > glob_optimal_expect_sec, > glob_log10abserr, > glob_last_good_h, > glob_log10normmin, > glob_small_float, > glob_max_hours, > glob_log10_abserr, > glob_clock_sec, > sec_in_min, > djd_debug2, > glob_display_flag, > glob_dump_analytic, > MAX_UNCHANGED, > glob_current_iter, > glob_max_trunc_err, > glob_max_rel_trunc_err, > glob_max_iter, > glob_not_yet_start_msg, > hours_in_day, > min_in_hour, > glob_warned2, > glob_look_poles, > centuries_in_millinium, > years_in_century, > djd_debug, > glob_log10relerr, > glob_hmax, > glob_reached_optimal_h, > glob_almost_1, > glob_percent_done, > glob_large_float, > glob_hmin, > glob_h, > glob_not_yet_finished, > glob_html_log, > glob_subiter_method, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_2D0, > array_const_0D0, > array_const_1, > array_const_1D0, > #END CONST > array_y, > array_x, > array_type_pole, > array_y_init, > array_pole, > array_last_rel_error, > array_norms, > array_m1, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8, > array_tmp9, > array_1st_rel_error, > array_y_set_initial, > array_poles, > array_complex_pole, > array_real_pole, > array_y_higher_work2, > array_y_higher_work, > array_y_higher, > glob_last; > > local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no; > #TOP DISPLAY ALOT > if (iter >= 0) then # if number 1 > 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 := abs(numeric_val - analytic_val_y); > omniout_float(ALWAYS,"y[1] (numeric) ",33,numeric_val,20," "); > if (abs(analytic_val_y) <> 0.0) then # if number 2 > relerr := abserr*100.0/abs(analytic_val_y); > else > relerr := -1.0 ; > fi;# end if 2 > ; > if glob_iter = 1 then # if number 2 > array_1st_rel_error[1] := relerr; > else > array_last_rel_error[1] := relerr; > fi;# end if 2 > ; > omniout_float(ALWAYS,"absolute error ",4,abserr,20," "); > omniout_float(ALWAYS,"relative error ",4,relerr,20,"%"); > omniout_float(ALWAYS,"h ",4,glob_h,20," "); > #BOTTOM DISPLAY ALOT > fi;# end if 1 > ; > # End Function number 3 > end; display_alot := proc(iter) local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no; global ALWAYS, INFO, glob_iolevel, DEBUGL, DEBUGMASSIVE, glob_max_terms, glob_normmax, glob_iter, glob_curr_iter_when_opt, glob_max_sec, glob_unchanged_h_cnt, glob_smallish_float, glob_dump, glob_optimal_start, glob_no_eqs, glob_max_minutes, glob_abserr, glob_optimal_done, glob_initial_pass, glob_start, glob_orig_start_sec, glob_warned, glob_optimal_clock_start_sec, glob_relerr, glob_log10_relerr, glob_hmin_init, glob_disp_incr, glob_clock_start_sec, days_in_year, glob_max_opt_iter, glob_optimal_expect_sec, glob_log10abserr, glob_last_good_h, glob_log10normmin, glob_small_float, glob_max_hours, glob_log10_abserr, glob_clock_sec, sec_in_min, djd_debug2, glob_display_flag, glob_dump_analytic, MAX_UNCHANGED, glob_current_iter, glob_max_trunc_err, glob_max_rel_trunc_err, glob_max_iter, glob_not_yet_start_msg, hours_in_day, min_in_hour, glob_warned2, glob_look_poles, centuries_in_millinium, years_in_century, djd_debug, glob_log10relerr, glob_hmax, glob_reached_optimal_h, glob_almost_1, glob_percent_done, glob_large_float, glob_hmin, glob_h, glob_not_yet_finished, glob_html_log, glob_subiter_method, array_const_2D0, array_const_0D0, array_const_1, array_const_1D0, array_y, array_x, array_type_pole, array_y_init, array_pole, array_last_rel_error, array_norms, array_m1, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9, array_1st_rel_error, array_y_set_initial, array_poles, array_complex_pole, array_real_pole, array_y_higher_work2, array_y_higher_work, array_y_higher, glob_last; 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 := abs(numeric_val - analytic_val_y); omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val, 20, " "); if abs(analytic_val_y) <> 0. then relerr := abserr*100.0/abs(analytic_val_y) else relerr := -1.0 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_float(ALWAYS, "h ", 4, glob_h, 20, " ") end if end proc > # Begin Function number 4 > adjust_for_pole := proc(h_param) > global > ALWAYS, > INFO, > glob_iolevel, > DEBUGL, > DEBUGMASSIVE, > glob_max_terms, > #Top Generate Globals Decl > glob_normmax, > glob_iter, > glob_curr_iter_when_opt, > glob_max_sec, > glob_unchanged_h_cnt, > glob_smallish_float, > glob_dump, > glob_optimal_start, > glob_no_eqs, > glob_max_minutes, > glob_abserr, > glob_optimal_done, > glob_initial_pass, > glob_start, > glob_orig_start_sec, > glob_warned, > glob_optimal_clock_start_sec, > glob_relerr, > glob_log10_relerr, > glob_hmin_init, > glob_disp_incr, > glob_clock_start_sec, > days_in_year, > glob_max_opt_iter, > glob_optimal_expect_sec, > glob_log10abserr, > glob_last_good_h, > glob_log10normmin, > glob_small_float, > glob_max_hours, > glob_log10_abserr, > glob_clock_sec, > sec_in_min, > djd_debug2, > glob_display_flag, > glob_dump_analytic, > MAX_UNCHANGED, > glob_current_iter, > glob_max_trunc_err, > glob_max_rel_trunc_err, > glob_max_iter, > glob_not_yet_start_msg, > hours_in_day, > min_in_hour, > glob_warned2, > glob_look_poles, > centuries_in_millinium, > years_in_century, > djd_debug, > glob_log10relerr, > glob_hmax, > glob_reached_optimal_h, > glob_almost_1, > glob_percent_done, > glob_large_float, > glob_hmin, > glob_h, > glob_not_yet_finished, > glob_html_log, > glob_subiter_method, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_2D0, > array_const_0D0, > array_const_1, > array_const_1D0, > #END CONST > array_y, > array_x, > array_type_pole, > array_y_init, > array_pole, > array_last_rel_error, > array_norms, > array_m1, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8, > array_tmp9, > array_1st_rel_error, > array_y_set_initial, > array_poles, > array_complex_pole, > array_real_pole, > array_y_higher_work2, > array_y_higher_work, > array_y_higher, > glob_last; > > local hnew, sz2, tmp; > #TOP ADJUST FOR POLE > > hnew := h_param; > glob_normmax := glob_small_float; > if (abs(array_y_higher[1,1]) > glob_small_float) then # if number 1 > tmp := abs(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 (abs(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"); > newline(); > 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 > #BOTTOM ADJUST FOR POLE > # End Function number 4 > end; adjust_for_pole := proc(h_param) local hnew, sz2, tmp; global ALWAYS, INFO, glob_iolevel, DEBUGL, DEBUGMASSIVE, glob_max_terms, glob_normmax, glob_iter, glob_curr_iter_when_opt, glob_max_sec, glob_unchanged_h_cnt, glob_smallish_float, glob_dump, glob_optimal_start, glob_no_eqs, glob_max_minutes, glob_abserr, glob_optimal_done, glob_initial_pass, glob_start, glob_orig_start_sec, glob_warned, glob_optimal_clock_start_sec, glob_relerr, glob_log10_relerr, glob_hmin_init, glob_disp_incr, glob_clock_start_sec, days_in_year, glob_max_opt_iter, glob_optimal_expect_sec, glob_log10abserr, glob_last_good_h, glob_log10normmin, glob_small_float, glob_max_hours, glob_log10_abserr, glob_clock_sec, sec_in_min, djd_debug2, glob_display_flag, glob_dump_analytic, MAX_UNCHANGED, glob_current_iter, glob_max_trunc_err, glob_max_rel_trunc_err, glob_max_iter, glob_not_yet_start_msg, hours_in_day, min_in_hour, glob_warned2, glob_look_poles, centuries_in_millinium, years_in_century, djd_debug, glob_log10relerr, glob_hmax, glob_reached_optimal_h, glob_almost_1, glob_percent_done, glob_large_float, glob_hmin, glob_h, glob_not_yet_finished, glob_html_log, glob_subiter_method, array_const_2D0, array_const_0D0, array_const_1, array_const_1D0, array_y, array_x, array_type_pole, array_y_init, array_pole, array_last_rel_error, array_norms, array_m1, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9, array_1st_rel_error, array_y_set_initial, array_poles, array_complex_pole, array_real_pole, array_y_higher_work2, array_y_higher_work, array_y_higher, glob_last; hnew := h_param; glob_normmax := glob_small_float; if glob_small_float < abs(array_y_higher[1, 1]) then tmp := abs(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 < abs(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"); newline(); 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 end proc > # Begin Function number 5 > prog_report := proc(x_start,x_end) > global > ALWAYS, > INFO, > glob_iolevel, > DEBUGL, > DEBUGMASSIVE, > glob_max_terms, > #Top Generate Globals Decl > glob_normmax, > glob_iter, > glob_curr_iter_when_opt, > glob_max_sec, > glob_unchanged_h_cnt, > glob_smallish_float, > glob_dump, > glob_optimal_start, > glob_no_eqs, > glob_max_minutes, > glob_abserr, > glob_optimal_done, > glob_initial_pass, > glob_start, > glob_orig_start_sec, > glob_warned, > glob_optimal_clock_start_sec, > glob_relerr, > glob_log10_relerr, > glob_hmin_init, > glob_disp_incr, > glob_clock_start_sec, > days_in_year, > glob_max_opt_iter, > glob_optimal_expect_sec, > glob_log10abserr, > glob_last_good_h, > glob_log10normmin, > glob_small_float, > glob_max_hours, > glob_log10_abserr, > glob_clock_sec, > sec_in_min, > djd_debug2, > glob_display_flag, > glob_dump_analytic, > MAX_UNCHANGED, > glob_current_iter, > glob_max_trunc_err, > glob_max_rel_trunc_err, > glob_max_iter, > glob_not_yet_start_msg, > hours_in_day, > min_in_hour, > glob_warned2, > glob_look_poles, > centuries_in_millinium, > years_in_century, > djd_debug, > glob_log10relerr, > glob_hmax, > glob_reached_optimal_h, > glob_almost_1, > glob_percent_done, > glob_large_float, > glob_hmin, > glob_h, > glob_not_yet_finished, > glob_html_log, > glob_subiter_method, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_2D0, > array_const_0D0, > array_const_1, > array_const_1D0, > #END CONST > array_y, > array_x, > array_type_pole, > array_y_init, > array_pole, > array_last_rel_error, > array_norms, > array_m1, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8, > array_tmp9, > array_1st_rel_error, > array_y_set_initial, > array_poles, > array_complex_pole, > array_real_pole, > array_y_higher_work2, > array_y_higher_work, > array_y_higher, > 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)); > 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)); > 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 Function number 5 > 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 ALWAYS, INFO, glob_iolevel, DEBUGL, DEBUGMASSIVE, glob_max_terms, glob_normmax, glob_iter, glob_curr_iter_when_opt, glob_max_sec, glob_unchanged_h_cnt, glob_smallish_float, glob_dump, glob_optimal_start, glob_no_eqs, glob_max_minutes, glob_abserr, glob_optimal_done, glob_initial_pass, glob_start, glob_orig_start_sec, glob_warned, glob_optimal_clock_start_sec, glob_relerr, glob_log10_relerr, glob_hmin_init, glob_disp_incr, glob_clock_start_sec, days_in_year, glob_max_opt_iter, glob_optimal_expect_sec, glob_log10abserr, glob_last_good_h, glob_log10normmin, glob_small_float, glob_max_hours, glob_log10_abserr, glob_clock_sec, sec_in_min, djd_debug2, glob_display_flag, glob_dump_analytic, MAX_UNCHANGED, glob_current_iter, glob_max_trunc_err, glob_max_rel_trunc_err, glob_max_iter, glob_not_yet_start_msg, hours_in_day, min_in_hour, glob_warned2, glob_look_poles, centuries_in_millinium, years_in_century, djd_debug, glob_log10relerr, glob_hmax, glob_reached_optimal_h, glob_almost_1, glob_percent_done, glob_large_float, glob_hmin, glob_h, glob_not_yet_finished, glob_html_log, glob_subiter_method, array_const_2D0, array_const_0D0, array_const_1, array_const_1D0, array_y, array_x, array_type_pole, array_y_init, array_pole, array_last_rel_error, array_norms, array_m1, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9, array_1st_rel_error, array_y_set_initial, array_poles, array_complex_pole, array_real_pole, array_y_higher_work2, array_y_higher_work, array_y_higher, 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)); 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)) 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 > # Begin Function number 6 > check_for_pole := proc() > global > ALWAYS, > INFO, > glob_iolevel, > DEBUGL, > DEBUGMASSIVE, > glob_max_terms, > #Top Generate Globals Decl > glob_normmax, > glob_iter, > glob_curr_iter_when_opt, > glob_max_sec, > glob_unchanged_h_cnt, > glob_smallish_float, > glob_dump, > glob_optimal_start, > glob_no_eqs, > glob_max_minutes, > glob_abserr, > glob_optimal_done, > glob_initial_pass, > glob_start, > glob_orig_start_sec, > glob_warned, > glob_optimal_clock_start_sec, > glob_relerr, > glob_log10_relerr, > glob_hmin_init, > glob_disp_incr, > glob_clock_start_sec, > days_in_year, > glob_max_opt_iter, > glob_optimal_expect_sec, > glob_log10abserr, > glob_last_good_h, > glob_log10normmin, > glob_small_float, > glob_max_hours, > glob_log10_abserr, > glob_clock_sec, > sec_in_min, > djd_debug2, > glob_display_flag, > glob_dump_analytic, > MAX_UNCHANGED, > glob_current_iter, > glob_max_trunc_err, > glob_max_rel_trunc_err, > glob_max_iter, > glob_not_yet_start_msg, > hours_in_day, > min_in_hour, > glob_warned2, > glob_look_poles, > centuries_in_millinium, > years_in_century, > djd_debug, > glob_log10relerr, > glob_hmax, > glob_reached_optimal_h, > glob_almost_1, > glob_percent_done, > glob_large_float, > glob_hmin, > glob_h, > glob_not_yet_finished, > glob_html_log, > glob_subiter_method, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_2D0, > array_const_0D0, > array_const_1, > array_const_1D0, > #END CONST > array_y, > array_x, > array_type_pole, > array_y_init, > array_pole, > array_last_rel_error, > array_norms, > array_m1, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8, > array_tmp9, > array_1st_rel_error, > array_y_set_initial, > array_poles, > array_complex_pole, > array_real_pole, > array_y_higher_work2, > array_y_higher_work, > array_y_higher, > glob_last; > > local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found; > #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 ((abs(array_y_higher[1,m]) < glob_small_float) or (abs(array_y_higher[1,m-1]) < glob_small_float) or (abs(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 (abs(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 (abs(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 (abs(array_y_higher[1,m]) >= (glob_large_float)) or (abs(array_y_higher[1,m-1]) >=(glob_large_float)) or (abs(array_y_higher[1,m-2]) >= (glob_large_float)) or (abs(array_y_higher[1,m-3]) >= (glob_large_float)) or (abs(array_y_higher[1,m-4]) >= (glob_large_float)) or (abs(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 ((abs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (abs(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 (abs(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 (abs(rcs) > glob_small_float) then # if number 5 > if (rcs > 0.0) then # if number 6 > rad_c := sqrt(rcs) * 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 > omniout_str(ALWAYS,"Complex estimate of poles used"); > 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 > omniout_str(ALWAYS,"Real estimate of pole used"); > 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 (glob_display_flag) 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 > omniout_str(ALWAYS,"Real estimate of pole used"); > 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 > omniout_str(ALWAYS,"Complex estimate of poles used"); > 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 (glob_display_flag) 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 > #BOTTOM CHECK FOR POLE > display_pole(); > # End Function number 6 > 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; global ALWAYS, INFO, glob_iolevel, DEBUGL, DEBUGMASSIVE, glob_max_terms, glob_normmax, glob_iter, glob_curr_iter_when_opt, glob_max_sec, glob_unchanged_h_cnt, glob_smallish_float, glob_dump, glob_optimal_start, glob_no_eqs, glob_max_minutes, glob_abserr, glob_optimal_done, glob_initial_pass, glob_start, glob_orig_start_sec, glob_warned, glob_optimal_clock_start_sec, glob_relerr, glob_log10_relerr, glob_hmin_init, glob_disp_incr, glob_clock_start_sec, days_in_year, glob_max_opt_iter, glob_optimal_expect_sec, glob_log10abserr, glob_last_good_h, glob_log10normmin, glob_small_float, glob_max_hours, glob_log10_abserr, glob_clock_sec, sec_in_min, djd_debug2, glob_display_flag, glob_dump_analytic, MAX_UNCHANGED, glob_current_iter, glob_max_trunc_err, glob_max_rel_trunc_err, glob_max_iter, glob_not_yet_start_msg, hours_in_day, min_in_hour, glob_warned2, glob_look_poles, centuries_in_millinium, years_in_century, djd_debug, glob_log10relerr, glob_hmax, glob_reached_optimal_h, glob_almost_1, glob_percent_done, glob_large_float, glob_hmin, glob_h, glob_not_yet_finished, glob_html_log, glob_subiter_method, array_const_2D0, array_const_0D0, array_const_1, array_const_1D0, array_y, array_x, array_type_pole, array_y_init, array_pole, array_last_rel_error, array_norms, array_m1, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9, array_1st_rel_error, array_y_set_initial, array_poles, array_complex_pole, array_real_pole, array_y_higher_work2, array_y_higher_work, array_y_higher, glob_last; n := glob_max_terms; m := n - 2; while 10 <= m and (abs(array_y_higher[1, m]) < glob_small_float or abs(array_y_higher[1, m - 1]) < glob_small_float or abs(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 < abs(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 < abs(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 <= abs(array_y_higher[1, m]) or glob_large_float <= abs(array_y_higher[1, m - 1]) or glob_large_float <= abs(array_y_higher[1, m - 2]) or glob_large_float <= abs(array_y_higher[1, m - 3]) or glob_large_float <= abs(array_y_higher[1, m - 4]) or glob_large_float <= abs(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 abs(nr1*dr2 - nr2*dr1) <= glob_small_float or abs(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 < abs(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 < abs(rcs) then if 0. < rcs then rad_c := sqrt(rcs)*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 omniout_str(ALWAYS, "Complex estimate of poles used") 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 omniout_str(ALWAYS, "Real estimate of pole used") 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 glob_display_flag 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 omniout_str(ALWAYS, "Real estimate of pole used") 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 omniout_str(ALWAYS, "Complex estimate of poles used") 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 glob_display_flag 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; display_pole() end proc > # Begin Function number 7 > get_norms := proc() > global > ALWAYS, > INFO, > glob_iolevel, > DEBUGL, > DEBUGMASSIVE, > glob_max_terms, > #Top Generate Globals Decl > glob_normmax, > glob_iter, > glob_curr_iter_when_opt, > glob_max_sec, > glob_unchanged_h_cnt, > glob_smallish_float, > glob_dump, > glob_optimal_start, > glob_no_eqs, > glob_max_minutes, > glob_abserr, > glob_optimal_done, > glob_initial_pass, > glob_start, > glob_orig_start_sec, > glob_warned, > glob_optimal_clock_start_sec, > glob_relerr, > glob_log10_relerr, > glob_hmin_init, > glob_disp_incr, > glob_clock_start_sec, > days_in_year, > glob_max_opt_iter, > glob_optimal_expect_sec, > glob_log10abserr, > glob_last_good_h, > glob_log10normmin, > glob_small_float, > glob_max_hours, > glob_log10_abserr, > glob_clock_sec, > sec_in_min, > djd_debug2, > glob_display_flag, > glob_dump_analytic, > MAX_UNCHANGED, > glob_current_iter, > glob_max_trunc_err, > glob_max_rel_trunc_err, > glob_max_iter, > glob_not_yet_start_msg, > hours_in_day, > min_in_hour, > glob_warned2, > glob_look_poles, > centuries_in_millinium, > years_in_century, > djd_debug, > glob_log10relerr, > glob_hmax, > glob_reached_optimal_h, > glob_almost_1, > glob_percent_done, > glob_large_float, > glob_hmin, > glob_h, > glob_not_yet_finished, > glob_html_log, > glob_subiter_method, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_2D0, > array_const_0D0, > array_const_1, > array_const_1D0, > #END CONST > array_y, > array_x, > array_type_pole, > array_y_init, > array_pole, > array_last_rel_error, > array_norms, > array_m1, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8, > array_tmp9, > array_1st_rel_error, > array_y_set_initial, > array_poles, > array_complex_pole, > array_real_pole, > array_y_higher_work2, > array_y_higher_work, > array_y_higher, > glob_last; > > local iii; > if (not glob_initial_pass) then # if number 2 > set_z(array_norms,glob_max_terms+1); > #TOP GET NORMS > iii := 1; > while (iii <= glob_max_terms) do # do number 2 > if (abs(array_y[iii]) > array_norms[iii]) then # if number 3 > array_norms[iii] := abs(array_y[iii]); > fi;# end if 3 > ; > iii := iii + 1; > od;# end do number 2 > #GET NORMS > ; > fi;# end if 2 > ; > # End Function number 7 > end; get_norms := proc() local iii; global ALWAYS, INFO, glob_iolevel, DEBUGL, DEBUGMASSIVE, glob_max_terms, glob_normmax, glob_iter, glob_curr_iter_when_opt, glob_max_sec, glob_unchanged_h_cnt, glob_smallish_float, glob_dump, glob_optimal_start, glob_no_eqs, glob_max_minutes, glob_abserr, glob_optimal_done, glob_initial_pass, glob_start, glob_orig_start_sec, glob_warned, glob_optimal_clock_start_sec, glob_relerr, glob_log10_relerr, glob_hmin_init, glob_disp_incr, glob_clock_start_sec, days_in_year, glob_max_opt_iter, glob_optimal_expect_sec, glob_log10abserr, glob_last_good_h, glob_log10normmin, glob_small_float, glob_max_hours, glob_log10_abserr, glob_clock_sec, sec_in_min, djd_debug2, glob_display_flag, glob_dump_analytic, MAX_UNCHANGED, glob_current_iter, glob_max_trunc_err, glob_max_rel_trunc_err, glob_max_iter, glob_not_yet_start_msg, hours_in_day, min_in_hour, glob_warned2, glob_look_poles, centuries_in_millinium, years_in_century, djd_debug, glob_log10relerr, glob_hmax, glob_reached_optimal_h, glob_almost_1, glob_percent_done, glob_large_float, glob_hmin, glob_h, glob_not_yet_finished, glob_html_log, glob_subiter_method, array_const_2D0, array_const_0D0, array_const_1, array_const_1D0, array_y, array_x, array_type_pole, array_y_init, array_pole, array_last_rel_error, array_norms, array_m1, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9, array_1st_rel_error, array_y_set_initial, array_poles, array_complex_pole, array_real_pole, array_y_higher_work2, array_y_higher_work, array_y_higher, glob_last; if not glob_initial_pass then set_z(array_norms, glob_max_terms + 1); iii := 1; while iii <= glob_max_terms do if array_norms[iii] < abs(array_y[iii]) then array_norms[iii] := abs(array_y[iii]) end if; iii := iii + 1 end do end if end proc > # Begin Function number 8 > atomall := proc() > global > ALWAYS, > INFO, > glob_iolevel, > DEBUGL, > DEBUGMASSIVE, > glob_max_terms, > #Top Generate Globals Decl > glob_normmax, > glob_iter, > glob_curr_iter_when_opt, > glob_max_sec, > glob_unchanged_h_cnt, > glob_smallish_float, > glob_dump, > glob_optimal_start, > glob_no_eqs, > glob_max_minutes, > glob_abserr, > glob_optimal_done, > glob_initial_pass, > glob_start, > glob_orig_start_sec, > glob_warned, > glob_optimal_clock_start_sec, > glob_relerr, > glob_log10_relerr, > glob_hmin_init, > glob_disp_incr, > glob_clock_start_sec, > days_in_year, > glob_max_opt_iter, > glob_optimal_expect_sec, > glob_log10abserr, > glob_last_good_h, > glob_log10normmin, > glob_small_float, > glob_max_hours, > glob_log10_abserr, > glob_clock_sec, > sec_in_min, > djd_debug2, > glob_display_flag, > glob_dump_analytic, > MAX_UNCHANGED, > glob_current_iter, > glob_max_trunc_err, > glob_max_rel_trunc_err, > glob_max_iter, > glob_not_yet_start_msg, > hours_in_day, > min_in_hour, > glob_warned2, > glob_look_poles, > centuries_in_millinium, > years_in_century, > djd_debug, > glob_log10relerr, > glob_hmax, > glob_reached_optimal_h, > glob_almost_1, > glob_percent_done, > glob_large_float, > glob_hmin, > glob_h, > glob_not_yet_finished, > glob_html_log, > glob_subiter_method, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_2D0, > array_const_0D0, > array_const_1, > array_const_1D0, > #END CONST > array_y, > array_x, > array_type_pole, > array_y_init, > array_pole, > array_last_rel_error, > array_norms, > array_m1, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8, > array_tmp9, > array_1st_rel_error, > array_y_set_initial, > array_poles, > array_complex_pole, > array_real_pole, > array_y_higher_work2, > array_y_higher_work, > array_y_higher, > glob_last; > > local kkk, order_d, adj2, temporary, term; > #TOP ATOMALL > #END OUTFILE1 > #BEGIN ATOMHDR1 > # emit pre mult $eq_no = 1 i = 1 > array_tmp1[1] := (array_m1[1] * (array_const_2D0[1])); > # emit pre mult $eq_no = 1 i = 1 > array_tmp2[1] := (array_tmp1[1] * (array_x[1])); > # emit pre mult $eq_no = 1 i = 1 > array_tmp3[1] := (array_x[1] * (array_x[1])); > #emit pre add $eq_no = 1 i = 1 > array_tmp4[1] := array_tmp3[1] + array_const_1D0[1]; > #emit pre div $eq_no = 1 i = 1 > array_tmp5[1] := (array_tmp2[1] / (array_tmp4[1])); > # emit pre mult $eq_no = 1 i = 1 > array_tmp6[1] := (array_x[1] * (array_x[1])); > #emit pre add $eq_no = 1 i = 1 > array_tmp7[1] := array_tmp6[1] + array_const_1D0[1]; > #emit pre div $eq_no = 1 i = 1 > array_tmp8[1] := (array_tmp5[1] / (array_tmp7[1])); > #emit pre add $eq_no = 1 i = 1 > array_tmp9[1] := array_const_0D0[1] + array_tmp8[1]; > #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5 > if not array_y_set_initial[1,2] then # if number 1 > if (1 <= glob_max_terms) then # if number 2 > temporary := array_tmp9[1] * (glob_h ^ (1)) * factorial_3(0,1); > array_y[2] := temporary; > array_y_higher[1,2] := temporary; > temporary := temporary / glob_h * (2.0); > array_y_higher[2,1] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 2; > #END ATOMHDR1 > #BEGIN ATOMHDR2 > # emit pre mult $eq_no = 1 i = 2 > array_tmp1[2] := ats(2,array_m1,array_const_2D0,1); > # emit pre mult $eq_no = 1 i = 2 > array_tmp2[2] := ats(2,array_tmp1,array_x,1); > # emit pre mult $eq_no = 1 i = 2 > array_tmp3[2] := ats(2,array_x,array_x,1); > #emit pre add $eq_no = 1 i = 2 > array_tmp4[2] := array_tmp3[2] + array_const_1D0[2]; > #emit pre div $eq_no = 1 i = 2 > array_tmp5[2] := ((array_tmp2[2] - ats(2,array_tmp4,array_tmp5,2))/array_tmp4[1]); > # emit pre mult $eq_no = 1 i = 2 > array_tmp6[2] := ats(2,array_x,array_x,1); > #emit pre add $eq_no = 1 i = 2 > array_tmp7[2] := array_tmp6[2] + array_const_1D0[2]; > #emit pre div $eq_no = 1 i = 2 > array_tmp8[2] := ((array_tmp5[2] - ats(2,array_tmp7,array_tmp8,2))/array_tmp7[1]); > #emit pre add $eq_no = 1 i = 2 > array_tmp9[2] := array_const_0D0[2] + array_tmp8[2]; > #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5 > if not array_y_set_initial[1,3] then # if number 1 > if (2 <= glob_max_terms) then # if number 2 > temporary := array_tmp9[2] * (glob_h ^ (1)) * factorial_3(1,2); > array_y[3] := temporary; > array_y_higher[1,3] := temporary; > temporary := temporary / glob_h * (2.0); > array_y_higher[2,2] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 3; > #END ATOMHDR2 > #BEGIN ATOMHDR3 > # emit pre mult $eq_no = 1 i = 3 > array_tmp1[3] := ats(3,array_m1,array_const_2D0,1); > # emit pre mult $eq_no = 1 i = 3 > array_tmp2[3] := ats(3,array_tmp1,array_x,1); > # emit pre mult $eq_no = 1 i = 3 > array_tmp3[3] := ats(3,array_x,array_x,1); > #emit pre add $eq_no = 1 i = 3 > array_tmp4[3] := array_tmp3[3] + array_const_1D0[3]; > #emit pre div $eq_no = 1 i = 3 > array_tmp5[3] := ((array_tmp2[3] - ats(3,array_tmp4,array_tmp5,2))/array_tmp4[1]); > # emit pre mult $eq_no = 1 i = 3 > array_tmp6[3] := ats(3,array_x,array_x,1); > #emit pre add $eq_no = 1 i = 3 > array_tmp7[3] := array_tmp6[3] + array_const_1D0[3]; > #emit pre div $eq_no = 1 i = 3 > array_tmp8[3] := ((array_tmp5[3] - ats(3,array_tmp7,array_tmp8,2))/array_tmp7[1]); > #emit pre add $eq_no = 1 i = 3 > array_tmp9[3] := array_const_0D0[3] + array_tmp8[3]; > #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5 > if not array_y_set_initial[1,4] then # if number 1 > if (3 <= glob_max_terms) then # if number 2 > temporary := array_tmp9[3] * (glob_h ^ (1)) * factorial_3(2,3); > array_y[4] := temporary; > array_y_higher[1,4] := temporary; > temporary := temporary / glob_h * (2.0); > array_y_higher[2,3] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 4; > #END ATOMHDR3 > #BEGIN ATOMHDR4 > # emit pre mult $eq_no = 1 i = 4 > array_tmp1[4] := ats(4,array_m1,array_const_2D0,1); > # emit pre mult $eq_no = 1 i = 4 > array_tmp2[4] := ats(4,array_tmp1,array_x,1); > # emit pre mult $eq_no = 1 i = 4 > array_tmp3[4] := ats(4,array_x,array_x,1); > #emit pre add $eq_no = 1 i = 4 > array_tmp4[4] := array_tmp3[4] + array_const_1D0[4]; > #emit pre div $eq_no = 1 i = 4 > array_tmp5[4] := ((array_tmp2[4] - ats(4,array_tmp4,array_tmp5,2))/array_tmp4[1]); > # emit pre mult $eq_no = 1 i = 4 > array_tmp6[4] := ats(4,array_x,array_x,1); > #emit pre add $eq_no = 1 i = 4 > array_tmp7[4] := array_tmp6[4] + array_const_1D0[4]; > #emit pre div $eq_no = 1 i = 4 > array_tmp8[4] := ((array_tmp5[4] - ats(4,array_tmp7,array_tmp8,2))/array_tmp7[1]); > #emit pre add $eq_no = 1 i = 4 > array_tmp9[4] := array_const_0D0[4] + array_tmp8[4]; > #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5 > if not array_y_set_initial[1,5] then # if number 1 > if (4 <= glob_max_terms) then # if number 2 > temporary := array_tmp9[4] * (glob_h ^ (1)) * factorial_3(3,4); > array_y[5] := temporary; > array_y_higher[1,5] := temporary; > temporary := temporary / glob_h * (2.0); > array_y_higher[2,4] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 5; > #END ATOMHDR4 > #BEGIN ATOMHDR5 > # emit pre mult $eq_no = 1 i = 5 > array_tmp1[5] := ats(5,array_m1,array_const_2D0,1); > # emit pre mult $eq_no = 1 i = 5 > array_tmp2[5] := ats(5,array_tmp1,array_x,1); > # emit pre mult $eq_no = 1 i = 5 > array_tmp3[5] := ats(5,array_x,array_x,1); > #emit pre add $eq_no = 1 i = 5 > array_tmp4[5] := array_tmp3[5] + array_const_1D0[5]; > #emit pre div $eq_no = 1 i = 5 > array_tmp5[5] := ((array_tmp2[5] - ats(5,array_tmp4,array_tmp5,2))/array_tmp4[1]); > # emit pre mult $eq_no = 1 i = 5 > array_tmp6[5] := ats(5,array_x,array_x,1); > #emit pre add $eq_no = 1 i = 5 > array_tmp7[5] := array_tmp6[5] + array_const_1D0[5]; > #emit pre div $eq_no = 1 i = 5 > array_tmp8[5] := ((array_tmp5[5] - ats(5,array_tmp7,array_tmp8,2))/array_tmp7[1]); > #emit pre add $eq_no = 1 i = 5 > array_tmp9[5] := array_const_0D0[5] + array_tmp8[5]; > #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5 > if not array_y_set_initial[1,6] then # if number 1 > if (5 <= glob_max_terms) then # if number 2 > temporary := array_tmp9[5] * (glob_h ^ (1)) * factorial_3(4,5); > array_y[6] := temporary; > array_y_higher[1,6] := temporary; > temporary := temporary / glob_h * (2.0); > array_y_higher[2,5] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 6; > #END ATOMHDR5 > #BEGIN OUTFILE3 > #Top Atomall While Loop-- outfile3 > while (kkk <= glob_max_terms) do # do number 1 > #END OUTFILE3 > #BEGIN OUTFILE4 > #emit mult $eq_no = 1 > array_tmp1[kkk] := ats(kkk,array_m1,array_const_2D0,1); > #emit mult $eq_no = 1 > array_tmp2[kkk] := ats(kkk,array_tmp1,array_x,1); > #emit mult $eq_no = 1 > array_tmp3[kkk] := ats(kkk,array_x,array_x,1); > #emit add $eq_no = 1 > array_tmp4[kkk] := array_tmp3[kkk] + array_const_1D0[kkk]; > #emit div $eq_no = 1 > array_tmp5[kkk] := ((array_tmp2[kkk] - ats(kkk,array_tmp4,array_tmp5,2))/array_tmp4[1]); > #emit mult $eq_no = 1 > array_tmp6[kkk] := ats(kkk,array_x,array_x,1); > #emit add $eq_no = 1 > array_tmp7[kkk] := array_tmp6[kkk] + array_const_1D0[kkk]; > #emit div $eq_no = 1 > array_tmp8[kkk] := ((array_tmp5[kkk] - ats(kkk,array_tmp7,array_tmp8,2))/array_tmp7[1]); > #emit add $eq_no = 1 > array_tmp9[kkk] := array_const_0D0[kkk] + array_tmp8[kkk]; > #emit assign $eq_no = 1 > order_d := 1; > if (kkk + order_d + 1 <= glob_max_terms) then # if number 1 > if not array_y_set_initial[1,kkk + order_d] then # if number 2 > temporary := array_tmp9[kkk] * (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 := 2; > while (adj2 <= order_d + 1) and (term >= 1) do # do number 2 > temporary := temporary / glob_h * convfp(adj2); > array_y_higher[adj2,term] := temporary; > adj2 := adj2 + 1; > term := term - 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 > # End Function number 8 > end; atomall := proc() local kkk, order_d, adj2, temporary, term; global ALWAYS, INFO, glob_iolevel, DEBUGL, DEBUGMASSIVE, glob_max_terms, glob_normmax, glob_iter, glob_curr_iter_when_opt, glob_max_sec, glob_unchanged_h_cnt, glob_smallish_float, glob_dump, glob_optimal_start, glob_no_eqs, glob_max_minutes, glob_abserr, glob_optimal_done, glob_initial_pass, glob_start, glob_orig_start_sec, glob_warned, glob_optimal_clock_start_sec, glob_relerr, glob_log10_relerr, glob_hmin_init, glob_disp_incr, glob_clock_start_sec, days_in_year, glob_max_opt_iter, glob_optimal_expect_sec, glob_log10abserr, glob_last_good_h, glob_log10normmin, glob_small_float, glob_max_hours, glob_log10_abserr, glob_clock_sec, sec_in_min, djd_debug2, glob_display_flag, glob_dump_analytic, MAX_UNCHANGED, glob_current_iter, glob_max_trunc_err, glob_max_rel_trunc_err, glob_max_iter, glob_not_yet_start_msg, hours_in_day, min_in_hour, glob_warned2, glob_look_poles, centuries_in_millinium, years_in_century, djd_debug, glob_log10relerr, glob_hmax, glob_reached_optimal_h, glob_almost_1, glob_percent_done, glob_large_float, glob_hmin, glob_h, glob_not_yet_finished, glob_html_log, glob_subiter_method, array_const_2D0, array_const_0D0, array_const_1, array_const_1D0, array_y, array_x, array_type_pole, array_y_init, array_pole, array_last_rel_error, array_norms, array_m1, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9, array_1st_rel_error, array_y_set_initial, array_poles, array_complex_pole, array_real_pole, array_y_higher_work2, array_y_higher_work, array_y_higher, glob_last; array_tmp1[1] := array_m1[1]*array_const_2D0[1]; array_tmp2[1] := array_tmp1[1]*array_x[1]; array_tmp3[1] := array_x[1]*array_x[1]; array_tmp4[1] := array_tmp3[1] + array_const_1D0[1]; array_tmp5[1] := array_tmp2[1]/array_tmp4[1]; array_tmp6[1] := array_x[1]*array_x[1]; array_tmp7[1] := array_tmp6[1] + array_const_1D0[1]; array_tmp8[1] := array_tmp5[1]/array_tmp7[1]; array_tmp9[1] := array_const_0D0[1] + array_tmp8[1]; if not array_y_set_initial[1, 2] then if 1 <= glob_max_terms then temporary := array_tmp9[1]*glob_h*factorial_3(0, 1); array_y[2] := temporary; array_y_higher[1, 2] := temporary; temporary := temporary*2.0/glob_h; array_y_higher[2, 1] := temporary end if end if; kkk := 2; array_tmp1[2] := ats(2, array_m1, array_const_2D0, 1); array_tmp2[2] := ats(2, array_tmp1, array_x, 1); array_tmp3[2] := ats(2, array_x, array_x, 1); array_tmp4[2] := array_tmp3[2] + array_const_1D0[2]; array_tmp5[2] := (array_tmp2[2] - ats(2, array_tmp4, array_tmp5, 2))/array_tmp4[1]; array_tmp6[2] := ats(2, array_x, array_x, 1); array_tmp7[2] := array_tmp6[2] + array_const_1D0[2]; array_tmp8[2] := (array_tmp5[2] - ats(2, array_tmp7, array_tmp8, 2))/array_tmp7[1]; array_tmp9[2] := array_const_0D0[2] + array_tmp8[2]; if not array_y_set_initial[1, 3] then if 2 <= glob_max_terms then temporary := array_tmp9[2]*glob_h*factorial_3(1, 2); array_y[3] := temporary; array_y_higher[1, 3] := temporary; temporary := temporary*2.0/glob_h; array_y_higher[2, 2] := temporary end if end if; kkk := 3; array_tmp1[3] := ats(3, array_m1, array_const_2D0, 1); array_tmp2[3] := ats(3, array_tmp1, array_x, 1); array_tmp3[3] := ats(3, array_x, array_x, 1); array_tmp4[3] := array_tmp3[3] + array_const_1D0[3]; array_tmp5[3] := (array_tmp2[3] - ats(3, array_tmp4, array_tmp5, 2))/array_tmp4[1]; array_tmp6[3] := ats(3, array_x, array_x, 1); array_tmp7[3] := array_tmp6[3] + array_const_1D0[3]; array_tmp8[3] := (array_tmp5[3] - ats(3, array_tmp7, array_tmp8, 2))/array_tmp7[1]; array_tmp9[3] := array_const_0D0[3] + array_tmp8[3]; if not array_y_set_initial[1, 4] then if 3 <= glob_max_terms then temporary := array_tmp9[3]*glob_h*factorial_3(2, 3); array_y[4] := temporary; array_y_higher[1, 4] := temporary; temporary := temporary*2.0/glob_h; array_y_higher[2, 3] := temporary end if end if; kkk := 4; array_tmp1[4] := ats(4, array_m1, array_const_2D0, 1); array_tmp2[4] := ats(4, array_tmp1, array_x, 1); array_tmp3[4] := ats(4, array_x, array_x, 1); array_tmp4[4] := array_tmp3[4] + array_const_1D0[4]; array_tmp5[4] := (array_tmp2[4] - ats(4, array_tmp4, array_tmp5, 2))/array_tmp4[1]; array_tmp6[4] := ats(4, array_x, array_x, 1); array_tmp7[4] := array_tmp6[4] + array_const_1D0[4]; array_tmp8[4] := (array_tmp5[4] - ats(4, array_tmp7, array_tmp8, 2))/array_tmp7[1]; array_tmp9[4] := array_const_0D0[4] + array_tmp8[4]; if not array_y_set_initial[1, 5] then if 4 <= glob_max_terms then temporary := array_tmp9[4]*glob_h*factorial_3(3, 4); array_y[5] := temporary; array_y_higher[1, 5] := temporary; temporary := temporary*2.0/glob_h; array_y_higher[2, 4] := temporary end if end if; kkk := 5; array_tmp1[5] := ats(5, array_m1, array_const_2D0, 1); array_tmp2[5] := ats(5, array_tmp1, array_x, 1); array_tmp3[5] := ats(5, array_x, array_x, 1); array_tmp4[5] := array_tmp3[5] + array_const_1D0[5]; array_tmp5[5] := (array_tmp2[5] - ats(5, array_tmp4, array_tmp5, 2))/array_tmp4[1]; array_tmp6[5] := ats(5, array_x, array_x, 1); array_tmp7[5] := array_tmp6[5] + array_const_1D0[5]; array_tmp8[5] := (array_tmp5[5] - ats(5, array_tmp7, array_tmp8, 2))/array_tmp7[1]; array_tmp9[5] := array_const_0D0[5] + array_tmp8[5]; if not array_y_set_initial[1, 6] then if 5 <= glob_max_terms then temporary := array_tmp9[5]*glob_h*factorial_3(4, 5); array_y[6] := temporary; array_y_higher[1, 6] := temporary; temporary := temporary*2.0/glob_h; array_y_higher[2, 5] := temporary end if end if; kkk := 6; while kkk <= glob_max_terms do array_tmp1[kkk] := ats(kkk, array_m1, array_const_2D0, 1); array_tmp2[kkk] := ats(kkk, array_tmp1, array_x, 1); array_tmp3[kkk] := ats(kkk, array_x, array_x, 1); array_tmp4[kkk] := array_tmp3[kkk] + array_const_1D0[kkk]; array_tmp5[kkk] := ( array_tmp2[kkk] - ats(kkk, array_tmp4, array_tmp5, 2))/ array_tmp4[1]; array_tmp6[kkk] := ats(kkk, array_x, array_x, 1); array_tmp7[kkk] := array_tmp6[kkk] + array_const_1D0[kkk]; array_tmp8[kkk] := ( array_tmp5[kkk] - ats(kkk, array_tmp7, array_tmp8, 2))/ array_tmp7[1]; array_tmp9[kkk] := array_const_0D0[kkk] + array_tmp8[kkk]; order_d := 1; if kkk + order_d + 1 <= glob_max_terms then if not array_y_set_initial[1, kkk + order_d] then temporary := array_tmp9[kkk]*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 := 2; while adj2 <= order_d + 1 and 1 <= term do temporary := temporary*convfp(adj2)/glob_h; array_y_higher[adj2, term] := temporary; adj2 := adj2 + 1; term := term - 1 end do end if end if; kkk := kkk + 1 end do end proc > #BEGIN ATS LIBRARY BLOCK > omniout_str := proc(iolevel,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > printf("%s\n",str); > fi; > # End Function number 1 > end; omniout_str := proc(iolevel, str) global glob_iolevel; if iolevel <= glob_iolevel then printf("%s\n", str) end if end proc > omniout_str_noeol := proc(iolevel,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > printf("%s",str); > fi; > # End Function number 1 > end; omniout_str_noeol := proc(iolevel, str) global glob_iolevel; if iolevel <= glob_iolevel then printf("%s", str) end if end proc > omniout_labstr := proc(iolevel,label,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > print(label,str); > fi; > # End Function number 1 > end; omniout_labstr := proc(iolevel, label, str) global glob_iolevel; if iolevel <= glob_iolevel then print(label, str) end if end proc > omniout_float := proc(iolevel,prelabel,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= 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); > fi; > fi; > # End Function number 1 > 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 > omniout_int := proc(iolevel,prelabel,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > if vallen = 5 then > printf("%-30s = %-32d %s\n",prelabel,value, postlabel); > else > printf("%-30s = %-32d %s \n",prelabel,value, postlabel); > fi; > fi; > # End Function number 1 > 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 > omniout_float_arr := proc(iolevel,prelabel,elemnt,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > print(prelabel,"[",elemnt,"]",value, postlabel); > fi; > # End Function number 1 > 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 > dump_series := proc(iolevel,dump_label,series_name, > array_series,numb) > global glob_iolevel; > local i; > if (glob_iolevel >= iolevel) then > i := 1; > while (i <= numb) do > print(dump_label,series_name > ,i,array_series[i]); > i := i + 1; > od; > fi; > # End Function number 1 > end; dump_series := proc(iolevel, dump_label, series_name, array_series, numb) local i; global glob_iolevel; if iolevel <= glob_iolevel then i := 1; while i <= numb do print(dump_label, series_name, i, array_series[i]); i := i + 1 end do end if end proc > dump_series_2 := proc(iolevel,dump_label,series_name2, > array_series2,numb,subnum,array_x) > global glob_iolevel; > local i,sub,ts_term; > if (glob_iolevel >= iolevel) then > sub := 1; > while (sub <= subnum) do > i := 1; > while (i <= numb) do > print(dump_label,series_name2,sub,i,array_series2[sub,i]); > od; > sub := sub + 1; > od; > fi; > # End Function number 1 > end; dump_series_2 := proc( iolevel, dump_label, series_name2, array_series2, numb, subnum, array_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, array_series2[sub, i]) end do; sub := sub + 1 end do end if end proc > cs_info := proc(iolevel,str) > global glob_iolevel,glob_correct_start_flag,glob_h,glob_reached_optimal_h; > if (glob_iolevel >= 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) > fi; > # End Function number 1 > 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 > # Begin Function number 2 > logitem_time := proc(fd,secs_in) > global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century; > local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int; > secs := (secs_in); > if (secs > 0.0) then # if number 1 > sec_in_millinium := convfloat(sec_in_min * min_in_hour * hours_in_day * days_in_year * years_in_century * centuries_in_millinium); > milliniums := convfloat(secs / sec_in_millinium); > millinium_int := floor(milliniums); > centuries := (milliniums - millinium_int)*centuries_in_millinium; > cent_int := floor(centuries); > years := (centuries - cent_int) * years_in_century; > years_int := floor(years); > days := (years - years_int) * days_in_year; > days_int := floor(days); > hours := (days - days_int) * hours_in_day; > hours_int := floor(hours); > minutes := (hours - hours_int) * min_in_hour; > minutes_int := floor(minutes); > seconds := (minutes - minutes_int) * sec_in_min; > sec_int := floor(seconds); > fprintf(fd,""); > if (millinium_int > 0) then # if number 2 > fprintf(fd,"%d Millinia %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds",millinium_int,cent_int,years_int,days_int,hours_int,minutes_int,sec_int); > elif (cent_int > 0) then # if number 3 > fprintf(fd,"%d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds",cent_int,years_int,days_int,hours_int,minutes_int,sec_int); > elif (years_int > 0) then # if number 4 > 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 5 > 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 6 > fprintf(fd,"%d Hours %d Minutes %d Seconds",hours_int,minutes_int,sec_int); > elif (minutes_int > 0) then # if number 7 > fprintf(fd,"%d Minutes %d Seconds",minutes_int,sec_int); > else > fprintf(fd,"%d Seconds",sec_int); > fi;# end if 7 > else > fprintf(fd,"Unknown"); > fi;# end if 6 > fprintf(fd,""); > # End Function number 2 > end; logitem_time := proc(fd, secs_in) local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int; global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century; secs := secs_in; if 0. < secs then sec_in_millinium := convfloat(sec_in_min*min_in_hour*hours_in_day* days_in_year*years_in_century*centuries_in_millinium); milliniums := convfloat(secs/sec_in_millinium); millinium_int := floor(milliniums); centuries := (milliniums - millinium_int)*centuries_in_millinium; cent_int := floor(centuries); years := (centuries - cent_int)*years_in_century; years_int := floor(years); days := (years - years_int)*days_in_year; days_int := floor(days); hours := (days - days_int)*hours_in_day; hours_int := floor(hours); minutes := (hours - hours_int)*min_in_hour; minutes_int := floor(minutes); seconds := (minutes - minutes_int)*sec_in_min; sec_int := floor(seconds); fprintf(fd, ""); if 0 < millinium_int then fprintf(fd, "%d Millinia %d Centuries %\ d Years %d Days %d Hours %d Minutes %d Seconds", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < cent_int then fprintf(fd, "%d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elif 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, "") end proc > omniout_timestr := proc (secs_in) > global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century; > local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int; > secs := convfloat(secs_in); > if (secs > 0.0) then # if number 6 > sec_in_millinium := convfloat(sec_in_min * min_in_hour * hours_in_day * days_in_year * years_in_century * centuries_in_millinium); > milliniums := convfloat(secs / sec_in_millinium); > millinium_int := floor(milliniums); > centuries := (milliniums - millinium_int)*centuries_in_millinium; > cent_int := floor(centuries); > years := (centuries - cent_int) * years_in_century; > years_int := floor(years); > days := (years - years_int) * days_in_year; > days_int := floor(days); > hours := (days - days_int) * hours_in_day; > hours_int := floor(hours); > minutes := (hours - hours_int) * min_in_hour; > minutes_int := floor(minutes); > seconds := (minutes - minutes_int) * sec_in_min; > sec_int := floor(seconds); > > if (millinium_int > 0) then # if number 7 > printf(" = %d Millinia %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds\n",millinium_int,cent_int,years_int,days_int,hours_int,minutes_int,sec_int); > elif (cent_int > 0) then # if number 8 > printf(" = %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds\n",cent_int,years_int,days_int,hours_int,minutes_int,sec_int); > elif (years_int > 0) then # if number 9 > 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 10 > 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 11 > printf(" = %d Hours %d Minutes %d Seconds\n",hours_int,minutes_int,sec_int); > elif (minutes_int > 0) then # if number 12 > printf(" = %d Minutes %d Seconds\n",minutes_int,sec_int); > else > printf(" = %d Seconds\n",sec_int); > fi;# end if 12 > else > printf(" Unknown\n"); > fi;# end if 11 > # End Function number 2 > end; omniout_timestr := proc(secs_in) local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int; global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century; secs := convfloat(secs_in); if 0. < secs then sec_in_millinium := convfloat(sec_in_min*min_in_hour*hours_in_day* days_in_year*years_in_century*centuries_in_millinium); milliniums := convfloat(secs/sec_in_millinium); millinium_int := floor(milliniums); centuries := (milliniums - millinium_int)*centuries_in_millinium; cent_int := floor(centuries); years := (centuries - cent_int)*years_in_century; years_int := floor(years); days := (years - years_int)*days_in_year; days_int := floor(days); hours := (days - days_int)*hours_in_day; hours_int := floor(hours); minutes := (hours - hours_int)*min_in_hour; minutes_int := floor(minutes); seconds := (minutes - minutes_int)*sec_in_min; sec_int := floor(seconds); if 0 < millinium_int then printf(" = %d Millinia %d Centuries %d\ Years %d Days %d Hours %d Minutes %d Seconds\n", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < cent_int then printf(" = %d Centuries %d Years %d Days \ %d Hours %d Minutes %d Seconds\n", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elif 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 > > # Begin Function number 3 > ats := proc( > mmm_ats,array_a,array_b,jjj_ats) > local iii_ats, lll_ats,ma_ats, ret_ats; > ret_ats := 0.0; > if (jjj_ats <= mmm_ats) then # if number 11 > 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 + array_a[iii_ats]*array_b[lll_ats]; > iii_ats := iii_ats + 1; > od;# end do number 1 > fi;# end if 11 > ; > ret_ats > # End Function number 3 > end; ats := proc(mmm_ats, array_a, array_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 + array_a[iii_ats]*array_b[lll_ats]; iii_ats := iii_ats + 1 end do end if; ret_ats end proc > > # Begin Function number 4 > att := proc( > mmm_att,array_aa,array_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 11 > 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 12 > ret_att := ret_att + array_aa[iii_att]*array_bb[lll_att]* convfp(al_att); > fi;# end if 12 > ; > iii_att := iii_att + 1; > od;# end do number 1 > ; > ret_att := ret_att / convfp(mmm_att) ; > fi;# end if 11 > ; > ret_att; > # End Function number 4 > end; att := proc(mmm_att, array_aa, array_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 + array_aa[iii_att]*array_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 > # Begin Function number 5 > 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 11 > 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 11 > # End Function number 5 > 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 > # Begin Function number 6 > logditto := proc(file) > fprintf(file,""); > fprintf(file,"ditto"); > fprintf(file,""); > # End Function number 6 > end; logditto := proc(file) fprintf(file, ""); fprintf(file, "ditto"); fprintf(file, "") end proc > # Begin Function number 7 > logitem_integer := proc(file,n) > fprintf(file,""); > fprintf(file,"%d",n); > fprintf(file,""); > # End Function number 7 > end; logitem_integer := proc(file, n) fprintf(file, ""); fprintf(file, "%d", n); fprintf(file, "") end proc > # Begin Function number 8 > logitem_str := proc(file,str) > fprintf(file,""); > fprintf(file,str); > fprintf(file,""); > # End Function number 8 > end; logitem_str := proc(file, str) fprintf(file, ""); fprintf(file, str); fprintf(file, "") end proc > # Begin Function number 9 > log_revs := proc(file,revs) > fprintf(file,revs); > # End Function number 9 > end; log_revs := proc(file, revs) fprintf(file, revs) end proc > # Begin Function number 10 > logitem_float := proc(file,x) > fprintf(file,""); > fprintf(file,"%g",x); > fprintf(file,""); > # End Function number 10 > end; logitem_float := proc(file, x) fprintf(file, ""); fprintf(file, "%g", x); fprintf(file, "") end proc > # Begin Function number 11 > logitem_pole := proc(file,pole) > fprintf(file,""); > if pole = 0 then # if number 11 > fprintf(file,"NA"); > elif pole = 1 then # if number 12 > fprintf(file,"Real"); > elif pole = 2 then # if number 13 > fprintf(file,"Complex"); > else > fprintf(file,"No Pole"); > fi;# end if 13 > fprintf(file,""); > # End Function number 11 > 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 > # Begin Function number 12 > logstart := proc(file) > fprintf(file,""); > # End Function number 12 > end; logstart := proc(file) fprintf(file, "") end proc > # Begin Function number 13 > logend := proc(file) > fprintf(file,"\n"); > # End Function number 13 > end; logend := proc(file) fprintf(file, "\n") end proc > # Begin Function number 14 > 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 13 > omniout_str(ALWAYS,"Illegal max_terms = -- Using 30"); > glob_max_terms := 30; > fi;# end if 13 > ; > if (glob_max_iter < 2) then # if number 13 > omniout_str(ALWAYS,"Illegal max_iter"); > errflag := true; > fi;# end if 13 > ; > if (errflag) then # if number 13 > > quit; > fi;# end if 13 > # End Function number 14 > 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 > > # Begin Function number 15 > comp_expect_sec := proc(t_end2,t_start2,t2,clock_sec) > global glob_small_float; > local ms2, rrr, sec_left, sub1, sub2; > ; > ms2 := clock_sec; > sub1 := (t_end2-t_start2); > sub2 := (t2-t_start2); > if (sub1 = 0.0) then # if number 13 > sec_left := 0.0; > else > if (abs(sub2) > 0.0) then # if number 14 > rrr := (sub1/sub2); > sec_left := rrr * ms2 - ms2; > else > sec_left := 0.0; > fi;# end if 14 > fi;# end if 13 > ; > sec_left; > # End Function number 15 > end; comp_expect_sec := proc(t_end2, t_start2, t2, clock_sec) local ms2, rrr, sec_left, sub1, sub2; global glob_small_float; ms2 := clock_sec; sub1 := t_end2 - t_start2; sub2 := t2 - t_start2; if sub1 = 0. then sec_left := 0. else if 0. < abs(sub2) then rrr := sub1/sub2; sec_left := rrr*ms2 - ms2 else sec_left := 0. end if end if; sec_left end proc > > # Begin Function number 16 > 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 (abs(sub2) > glob_small_float) then # if number 13 > rrr := (100.0*sub2)/sub1; > else > rrr := 0.0; > fi;# end if 13 > ; > rrr > # End Function number 16 > 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 < abs(sub2) then rrr := 100.0*sub2/sub1 else rrr := 0. end if; rrr end proc > > # Begin Function number 17 > factorial_1 := proc(nnn) > nnn!; > > # End Function number 17 > end; factorial_1 := proc(nnn) nnn! end proc > > # Begin Function number 18 > factorial_3 := proc(mmm2,nnn2) > (mmm2!)/(nnn2!); > > # End Function number 18 > end; factorial_3 := proc(mmm2, nnn2) mmm2!/nnn2! end proc > # Begin Function number 19 > convfp := proc(mmm) > (mmm); > > # End Function number 19 > end; convfp := proc(mmm) mmm end proc > # Begin Function number 20 > convfloat := proc(mmm) > (mmm); > > # End Function number 20 > end; convfloat := proc(mmm) mmm end proc > elapsed_time_seconds := proc() > time(); > end; elapsed_time_seconds := proc() time() end proc > > > > #END ATS LIBRARY BLOCK > #BEGIN USER DEF BLOCK > #BEGIN USER DEF BLOCK > exact_soln_y := proc(x) > 1.0 / (x * x + 1.0); > end; exact_soln_y := proc(x) 1.0/(x*x + 1.0) end proc > > > #END USER DEF BLOCK > #END USER DEF BLOCK > #END OUTFILE5 > # Begin Function number 2 > mainprog := proc() > #BEGIN OUTFIEMAIN > local d1,d2,d3,d4,est_err_2,niii,done_once, > term,ord,order_diff,term_no,html_log_file, > rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter, > x_start,x_end > ,it, log10norm, max_terms, opt_iter, tmp; > #Top Generate Globals Definition > #Bottom Generate Globals Deninition > global > ALWAYS, > INFO, > glob_iolevel, > DEBUGL, > DEBUGMASSIVE, > glob_max_terms, > #Top Generate Globals Decl > glob_normmax, > glob_iter, > glob_curr_iter_when_opt, > glob_max_sec, > glob_unchanged_h_cnt, > glob_smallish_float, > glob_dump, > glob_optimal_start, > glob_no_eqs, > glob_max_minutes, > glob_abserr, > glob_optimal_done, > glob_initial_pass, > glob_start, > glob_orig_start_sec, > glob_warned, > glob_optimal_clock_start_sec, > glob_relerr, > glob_log10_relerr, > glob_hmin_init, > glob_disp_incr, > glob_clock_start_sec, > days_in_year, > glob_max_opt_iter, > glob_optimal_expect_sec, > glob_log10abserr, > glob_last_good_h, > glob_log10normmin, > glob_small_float, > glob_max_hours, > glob_log10_abserr, > glob_clock_sec, > sec_in_min, > djd_debug2, > glob_display_flag, > glob_dump_analytic, > MAX_UNCHANGED, > glob_current_iter, > glob_max_trunc_err, > glob_max_rel_trunc_err, > glob_max_iter, > glob_not_yet_start_msg, > hours_in_day, > min_in_hour, > glob_warned2, > glob_look_poles, > centuries_in_millinium, > years_in_century, > djd_debug, > glob_log10relerr, > glob_hmax, > glob_reached_optimal_h, > glob_almost_1, > glob_percent_done, > glob_large_float, > glob_hmin, > glob_h, > glob_not_yet_finished, > glob_html_log, > glob_subiter_method, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_2D0, > array_const_0D0, > array_const_1, > array_const_1D0, > #END CONST > array_y, > array_x, > array_type_pole, > array_y_init, > array_pole, > array_last_rel_error, > array_norms, > array_m1, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8, > array_tmp9, > array_1st_rel_error, > array_y_set_initial, > array_poles, > array_complex_pole, > array_real_pole, > array_y_higher_work2, > array_y_higher_work, > array_y_higher, > glob_last; > glob_last; > ALWAYS := 1; > INFO := 2; > DEBUGL := 3; > DEBUGMASSIVE := 4; > glob_iolevel := INFO; > ALWAYS := 1; > INFO := 2; > glob_iolevel := 5; > DEBUGL := 3; > DEBUGMASSIVE := 4; > glob_max_terms := 30; > glob_normmax := 0.0; > glob_iter := 0; > glob_curr_iter_when_opt := 0; > glob_max_sec := 10000.0; > glob_unchanged_h_cnt := 0; > glob_smallish_float := 0.1e-100; > glob_dump := false; > glob_optimal_start := 0.0; > glob_no_eqs := 0; > glob_max_minutes := 0.0; > glob_abserr := 0.1e-10; > glob_optimal_done := false; > glob_initial_pass := true; > glob_start := 0; > glob_orig_start_sec := 0.0; > glob_warned := false; > glob_optimal_clock_start_sec := 0.0; > glob_relerr := 0.1e-10; > glob_log10_relerr := 0.1e-10; > glob_hmin_init := 0.001; > glob_disp_incr := 0.1; > glob_clock_start_sec := 0.0; > days_in_year := 365.0; > glob_max_opt_iter := 10; > glob_optimal_expect_sec := 0.1; > glob_log10abserr := 0.0; > glob_last_good_h := 0.1; > glob_log10normmin := 0.1; > glob_small_float := 0.1e-50; > glob_max_hours := 0.0; > glob_log10_abserr := 0.1e-10; > glob_clock_sec := 0.0; > sec_in_min := 60.0; > djd_debug2 := true; > glob_display_flag := true; > glob_dump_analytic := false; > MAX_UNCHANGED := 10; > glob_current_iter := 0; > glob_max_trunc_err := 0.1e-10; > glob_max_rel_trunc_err := 0.1e-10; > glob_max_iter := 1000; > glob_not_yet_start_msg := true; > hours_in_day := 24.0; > min_in_hour := 60.0; > glob_warned2 := false; > glob_look_poles := false; > centuries_in_millinium := 10.0; > years_in_century := 100.0; > djd_debug := true; > glob_log10relerr := 0.0; > glob_hmax := 1.0; > glob_reached_optimal_h := false; > glob_almost_1 := 0.9990; > glob_percent_done := 0.0; > glob_large_float := 9.0e100; > glob_hmin := 0.00000000001; > glob_h := 0.1; > glob_not_yet_finished := true; > glob_html_log := true; > glob_subiter_method := 3; > #Write Set Defaults > glob_orig_start_sec := elapsed_time_seconds(); > MAX_UNCHANGED := 10; > glob_curr_iter_when_opt := 0; > glob_display_flag := true; > glob_no_eqs := 1; > glob_iter := -1; > opt_iter := -1; > glob_max_iter := 50000; > glob_max_hours := 0.0; > glob_max_minutes := 15.0; > omniout_str(ALWAYS,"##############ECHO OF PROBLEM#################"); > omniout_str(ALWAYS,"##############temp/sing4postode.ode#################"); > omniout_str(ALWAYS,"diff ( y , x , 1 ) = m1 * 2.0 * x / (x * x + 1.0) /( x * x + 1.0);"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK"); > omniout_str(ALWAYS,"Digits := 50;"); > omniout_str(ALWAYS,"max_terms := 30;"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#END FIRST INPUT BLOCK"); > omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK"); > omniout_str(ALWAYS,"x_start := -2.0;"); > omniout_str(ALWAYS,"x_end := 1.0;"); > omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);"); > omniout_str(ALWAYS,"glob_h := 0.1;"); > omniout_str(ALWAYS,"glob_look_poles := true;"); > omniout_str(ALWAYS,"glob_max_iter := 50;"); > omniout_str(ALWAYS,"#END SECOND INPUT BLOCK"); > omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK"); > omniout_str(ALWAYS,"glob_h := 0.001 ;"); > omniout_str(ALWAYS,"glob_look_poles := true;"); > omniout_str(ALWAYS,"glob_max_iter := 1000;"); > omniout_str(ALWAYS,"glob_max_minutes := 15;"); > omniout_str(ALWAYS,"#END OVERRIDE BLOCK"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#BEGIN USER DEF BLOCK"); > omniout_str(ALWAYS,"exact_soln_y := proc(x)"); > omniout_str(ALWAYS,"1.0 / (x * x + 1.0);"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,""); > omniout_str(ALWAYS,""); > omniout_str(ALWAYS,"#END USER DEF BLOCK"); > omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################"); > glob_unchanged_h_cnt := 0; > glob_warned := false; > glob_warned2 := false; > glob_small_float := 1.0e-200; > glob_smallish_float := 1.0e-64; > glob_large_float := 1.0e100; > glob_almost_1 := 0.99; > glob_log10_abserr := -8.0; > glob_log10_relerr := -8.0; > glob_hmax := 0.01; > #BEGIN FIRST INPUT BLOCK > #BEGIN FIRST INPUT BLOCK > Digits := 50; > 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:= Array(1..(max_terms + 1),[]); > array_x:= Array(1..(max_terms + 1),[]); > array_type_pole:= Array(1..(max_terms + 1),[]); > array_y_init:= Array(1..(max_terms + 1),[]); > array_pole:= Array(1..(max_terms + 1),[]); > array_last_rel_error:= Array(1..(max_terms + 1),[]); > array_norms:= Array(1..(max_terms + 1),[]); > array_m1:= Array(1..(max_terms + 1),[]); > array_tmp0:= Array(1..(max_terms + 1),[]); > array_tmp1:= Array(1..(max_terms + 1),[]); > array_tmp2:= Array(1..(max_terms + 1),[]); > array_tmp3:= Array(1..(max_terms + 1),[]); > array_tmp4:= Array(1..(max_terms + 1),[]); > array_tmp5:= Array(1..(max_terms + 1),[]); > array_tmp6:= Array(1..(max_terms + 1),[]); > array_tmp7:= Array(1..(max_terms + 1),[]); > array_tmp8:= Array(1..(max_terms + 1),[]); > array_tmp9:= Array(1..(max_terms + 1),[]); > array_1st_rel_error:= Array(1..(max_terms + 1),[]); > array_y_set_initial := Array(1..(2+ 1) ,(1..max_terms+ 1),[]); > array_poles := Array(1..(1+ 1) ,(1..3+ 1),[]); > array_complex_pole := Array(1..(1+ 1) ,(1..3+ 1),[]); > array_real_pole := Array(1..(1+ 1) ,(1..3+ 1),[]); > array_y_higher_work2 := Array(1..(2+ 1) ,(1..max_terms+ 1),[]); > array_y_higher_work := Array(1..(2+ 1) ,(1..max_terms+ 1),[]); > array_y_higher := Array(1..(2+ 1) ,(1..max_terms+ 1),[]); > 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_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_init[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_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_norms[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 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp0[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp2[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp3[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp4[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp5[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp6[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp7[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp8[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp9[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_1st_rel_error[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_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_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 <=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 <=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_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[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_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_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_tmp9 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp9[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp8 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp8[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp7 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp7[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_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_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_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_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_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_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_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_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_2D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_const_2D0[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_2D0[1] := 2.0; > array_const_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_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_1D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_const_1D0[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_1D0[1] := 1.0; > array_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_m1[1] := -1.0; > #END ARRAYS DEFINED AND INITIALIZATED > #TOP SECOND INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > #END FIRST INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > x_start := -2.0; > x_end := 1.0; > array_y_init[0 + 1] := exact_soln_y(x_start); > glob_h := 0.1; > glob_look_poles := true; > glob_max_iter := 50; > #END SECOND INPUT BLOCK > #BEGIN OVERRIDE BLOCK > glob_h := 0.001 ; > glob_look_poles := true; > glob_max_iter := 1000; > glob_max_minutes := 15; > #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 := 10.0 ^ (glob_log10_abserr); > glob_relerr := 10.0 ^ (glob_log10_relerr); > 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; > if glob_html_log then # if number 2 > html_log_file := fopen("html/entry.html",WRITE,TEXT); > fi;# end if 2 > ; > #BEGIN SOLUTION CODE > omniout_str(ALWAYS,"START of Soultion"); > #Start Series -- INITIALIZE FOR SOLUTION > array_x[1] := x_start; > array_x[2] := glob_h; > 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] * 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]* (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(); > start_array_y(); > if (abs(array_y_higher[1,1]) > glob_small_float) then # if number 2 > tmp := abs(array_y_higher[1,1]); > log10norm := (log10(tmp)); > if (log10norm < glob_log10normmin) then # if number 3 > glob_log10normmin := log10norm; > fi;# end if 3 > fi;# end if 2 > ; > display_alot(current_iter) > ; > glob_clock_sec := elapsed_time_seconds(); > glob_current_iter := 0; > glob_iter := 0; > omniout_str(DEBUGL," "); > glob_reached_optimal_h := true; > glob_optimal_clock_start_sec := elapsed_time_seconds(); > while ((glob_current_iter < glob_max_iter) and (array_x[1] <= x_end ) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2 > #left paren 0001C > omniout_str(INFO," "); > omniout_str(INFO,"TOP MAIN SOLVE Loop"); > 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 2 > #left paren 0004C > check_for_pole(); > fi;# end if 2 > ;#was right paren 0004C > 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] / (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 * (glob_h ^ (calc_term - 1)) / (convfp(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] / (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 * (glob_h ^ (calc_term - 1)) / (convfp(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] / (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 * (glob_h ^ (calc_term - 1)) / (convfp(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 2 > omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!") > fi;# end if 2 > ; > if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 2 > omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!") > fi;# end if 2 > ; > glob_clock_sec := elapsed_time_seconds(); > omniout_str(INFO,"diff ( y , x , 1 ) = m1 * 2.0 * x / (x * x + 1.0) /( x * x + 1.0);"); > omniout_int(INFO,"Iterations ",32,glob_iter,4," ") > ; > prog_report(x_start,x_end); > if glob_html_log then # if number 2 > logstart(html_log_file); > logitem_str(html_log_file,"2012-06-16T00:35:57-05:00") > ; > logitem_str(html_log_file,"Maple") > ; > logitem_str(html_log_file,"sing4") > ; > logitem_str(html_log_file,"diff ( y , x , 1 ) = m1 * 2.0 * x / (x * x + 1.0) /( x * x + 1.0);") > ; > logitem_float(html_log_file,x_start) > ; > logitem_float(html_log_file,x_end) > ; > logitem_float(html_log_file,array_x[1]) > ; > logitem_float(html_log_file,glob_h) > ; > logitem_integer(html_log_file,Digits) > ; > ; > logitem_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 3 > 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 3 > ; > logitem_time(html_log_file,convfloat(glob_clock_sec)) > ; > if glob_percent_done < 100.0 then # if number 3 > logitem_time(html_log_file,convfloat(glob_optimal_expect_sec)) > ; > 0 > else > logitem_str(html_log_file,"Done") > ; > 0 > fi;# end if 3 > ; > log_revs(html_log_file," 090 ") > ; > logitem_str(html_log_file,"sing4 diffeq.mxt") > ; > logitem_str(html_log_file,"sing4 maple results") > ; > logitem_str(html_log_file,"Test of revised logic - mostly affecting systems of eqs") > ; > logend(html_log_file) > ; > ; > fi;# end if 2 > ; > if glob_html_log then # if number 2 > fclose(html_log_file); > fi;# end if 2 > ; > ;; > #END OUTFILEMAIN > # End Function number 8 > end; mainprog := proc() local d1, d2, d3, d4, est_err_2, niii, done_once, term, ord, order_diff, term_no, html_log_file, rows, r_order, sub_iter, calc_term, iii, temp_sum, current_iter, x_start, x_end, it, log10norm, max_terms, opt_iter, tmp; global ALWAYS, INFO, glob_iolevel, DEBUGL, DEBUGMASSIVE, glob_max_terms, glob_normmax, glob_iter, glob_curr_iter_when_opt, glob_max_sec, glob_unchanged_h_cnt, glob_smallish_float, glob_dump, glob_optimal_start, glob_no_eqs, glob_max_minutes, glob_abserr, glob_optimal_done, glob_initial_pass, glob_start, glob_orig_start_sec, glob_warned, glob_optimal_clock_start_sec, glob_relerr, glob_log10_relerr, glob_hmin_init, glob_disp_incr, glob_clock_start_sec, days_in_year, glob_max_opt_iter, glob_optimal_expect_sec, glob_log10abserr, glob_last_good_h, glob_log10normmin, glob_small_float, glob_max_hours, glob_log10_abserr, glob_clock_sec, sec_in_min, djd_debug2, glob_display_flag, glob_dump_analytic, MAX_UNCHANGED, glob_current_iter, glob_max_trunc_err, glob_max_rel_trunc_err, glob_max_iter, glob_not_yet_start_msg, hours_in_day, min_in_hour, glob_warned2, glob_look_poles, centuries_in_millinium, years_in_century, djd_debug, glob_log10relerr, glob_hmax, glob_reached_optimal_h, glob_almost_1, glob_percent_done, glob_large_float, glob_hmin, glob_h, glob_not_yet_finished, glob_html_log, glob_subiter_method, array_const_2D0, array_const_0D0, array_const_1, array_const_1D0, array_y, array_x, array_type_pole, array_y_init, array_pole, array_last_rel_error, array_norms, array_m1, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9, array_1st_rel_error, array_y_set_initial, array_poles, array_complex_pole, array_real_pole, array_y_higher_work2, array_y_higher_work, array_y_higher, glob_last; glob_last; ALWAYS := 1; INFO := 2; DEBUGL := 3; DEBUGMASSIVE := 4; glob_iolevel := INFO; ALWAYS := 1; INFO := 2; glob_iolevel := 5; DEBUGL := 3; DEBUGMASSIVE := 4; glob_max_terms := 30; glob_normmax := 0.; glob_iter := 0; glob_curr_iter_when_opt := 0; glob_max_sec := 10000.0; glob_unchanged_h_cnt := 0; glob_smallish_float := 0.1*10^(-100); glob_dump := false; glob_optimal_start := 0.; glob_no_eqs := 0; glob_max_minutes := 0.; glob_abserr := 0.1*10^(-10); glob_optimal_done := false; glob_initial_pass := true; glob_start := 0; glob_orig_start_sec := 0.; glob_warned := false; glob_optimal_clock_start_sec := 0.; glob_relerr := 0.1*10^(-10); glob_log10_relerr := 0.1*10^(-10); glob_hmin_init := 0.001; glob_disp_incr := 0.1; glob_clock_start_sec := 0.; days_in_year := 365.0; glob_max_opt_iter := 10; glob_optimal_expect_sec := 0.1; glob_log10abserr := 0.; glob_last_good_h := 0.1; glob_log10normmin := 0.1; glob_small_float := 0.1*10^(-50); glob_max_hours := 0.; glob_log10_abserr := 0.1*10^(-10); glob_clock_sec := 0.; sec_in_min := 60.0; djd_debug2 := true; glob_display_flag := true; glob_dump_analytic := false; MAX_UNCHANGED := 10; glob_current_iter := 0; glob_max_trunc_err := 0.1*10^(-10); glob_max_rel_trunc_err := 0.1*10^(-10); glob_max_iter := 1000; glob_not_yet_start_msg := true; hours_in_day := 24.0; min_in_hour := 60.0; glob_warned2 := false; glob_look_poles := false; centuries_in_millinium := 10.0; years_in_century := 100.0; djd_debug := true; glob_log10relerr := 0.; glob_hmax := 1.0; glob_reached_optimal_h := false; glob_almost_1 := 0.9990; glob_percent_done := 0.; glob_large_float := 0.90*10^101; glob_hmin := 0.1*10^(-10); glob_h := 0.1; glob_not_yet_finished := true; glob_html_log := true; glob_subiter_method := 3; glob_orig_start_sec := elapsed_time_seconds(); MAX_UNCHANGED := 10; glob_curr_iter_when_opt := 0; glob_display_flag := true; glob_no_eqs := 1; glob_iter := -1; opt_iter := -1; glob_max_iter := 50000; glob_max_hours := 0.; glob_max_minutes := 15.0; omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################"); omniout_str(ALWAYS, "##############temp/sing4postode.ode#################"); omniout_str(ALWAYS, "diff ( y , x , 1 ) = m1 * 2.0 * x / (x * x + 1.\ 0) /( x * x + 1.0);"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK"); omniout_str(ALWAYS, "Digits := 50;"); omniout_str(ALWAYS, "max_terms := 30;"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#END FIRST INPUT BLOCK"); omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK"); omniout_str(ALWAYS, "x_start := -2.0;"); omniout_str(ALWAYS, "x_end := 1.0;"); omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);"); omniout_str(ALWAYS, "glob_h := 0.1;"); omniout_str(ALWAYS, "glob_look_poles := true;"); omniout_str(ALWAYS, "glob_max_iter := 50;"); omniout_str(ALWAYS, "#END SECOND INPUT BLOCK"); omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK"); omniout_str(ALWAYS, "glob_h := 0.001 ;"); omniout_str(ALWAYS, "glob_look_poles := true;"); omniout_str(ALWAYS, "glob_max_iter := 1000;"); omniout_str(ALWAYS, "glob_max_minutes := 15;"); omniout_str(ALWAYS, "#END OVERRIDE BLOCK"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#BEGIN USER DEF BLOCK"); omniout_str(ALWAYS, "exact_soln_y := proc(x)"); omniout_str(ALWAYS, "1.0 / (x * x + 1.0);"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, ""); omniout_str(ALWAYS, ""); omniout_str(ALWAYS, "#END USER DEF BLOCK"); omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"); glob_unchanged_h_cnt := 0; glob_warned := false; glob_warned2 := false; glob_small_float := 0.10*10^(-199); glob_smallish_float := 0.10*10^(-63); glob_large_float := 0.10*10^101; glob_almost_1 := 0.99; glob_log10_abserr := -8.0; glob_log10_relerr := -8.0; glob_hmax := 0.01; Digits := 50; max_terms := 30; glob_max_terms := max_terms; glob_html_log := true; array_y := Array(1 .. max_terms + 1, []); array_x := Array(1 .. max_terms + 1, []); array_type_pole := Array(1 .. max_terms + 1, []); array_y_init := Array(1 .. max_terms + 1, []); array_pole := Array(1 .. max_terms + 1, []); array_last_rel_error := Array(1 .. max_terms + 1, []); array_norms := Array(1 .. max_terms + 1, []); array_m1 := Array(1 .. max_terms + 1, []); array_tmp0 := Array(1 .. max_terms + 1, []); array_tmp1 := Array(1 .. max_terms + 1, []); array_tmp2 := Array(1 .. max_terms + 1, []); array_tmp3 := Array(1 .. max_terms + 1, []); array_tmp4 := Array(1 .. max_terms + 1, []); array_tmp5 := Array(1 .. max_terms + 1, []); array_tmp6 := Array(1 .. max_terms + 1, []); array_tmp7 := Array(1 .. max_terms + 1, []); array_tmp8 := Array(1 .. max_terms + 1, []); array_tmp9 := Array(1 .. max_terms + 1, []); array_1st_rel_error := Array(1 .. max_terms + 1, []); array_y_set_initial := Array(1 .. 3, 1 .. max_terms + 1, []); array_poles := Array(1 .. 2, 1 .. 4, []); array_complex_pole := Array(1 .. 2, 1 .. 4, []); array_real_pole := Array(1 .. 2, 1 .. 4, []); array_y_higher_work2 := Array(1 .. 3, 1 .. max_terms + 1, []); array_y_higher_work := Array(1 .. 3, 1 .. max_terms + 1, []); array_y_higher := Array(1 .. 3, 1 .. max_terms + 1, []); 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_type_pole[term] := 0.; term := term + 1 end do; 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_pole[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_norms[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_m1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp0[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp2[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp3[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp4[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp5[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp6[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp7[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp8[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp9[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_1st_rel_error[term] := 0.; term := term + 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_complex_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_real_pole[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_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[ord, term] := 0.; term := term + 1 end do; ord := ord + 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_y := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_y[term] := 0.; term := term + 1 end do; array_tmp9 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp9[term] := 0.; term := term + 1 end do; array_tmp8 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp8[term] := 0.; term := term + 1 end do; array_tmp7 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp7[term] := 0.; term := term + 1 end do; array_tmp6 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp6[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_tmp4 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp4[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_tmp2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp2[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_tmp0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp0[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_2D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_2D0[term] := 0.; term := term + 1 end do; array_const_2D0[1] := 2.0; array_const_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_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_1D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_1D0[term] := 0.; term := term + 1 end do; array_const_1D0[1] := 1.0; array_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms do array_m1[term] := 0.; term := term + 1 end do; array_m1[1] := -1.0; x_start := -2.0; x_end := 1.0; array_y_init[1] := exact_soln_y(x_start); glob_h := 0.1; glob_look_poles := true; glob_max_iter := 50; glob_h := 0.001; glob_look_poles := true; glob_max_iter := 1000; glob_max_minutes := 15; glob_last_good_h := glob_h; glob_max_terms := max_terms; glob_max_sec := convfloat(60.0)*convfloat(glob_max_minutes) + convfloat(3600.0)*convfloat(glob_max_hours); glob_abserr := 10.0^glob_log10_abserr; glob_relerr := 10.0^glob_log10_relerr; 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; if glob_html_log then html_log_file := fopen("html/entry.html", WRITE, TEXT) end if; omniout_str(ALWAYS, "START of Soultion"); array_x[1] := x_start; array_x[2] := glob_h; order_diff := 1; term_no := 1; while term_no <= order_diff do array_y[term_no] := array_y_init[term_no]*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]* 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(); start_array_y(); if glob_small_float < abs(array_y_higher[1, 1]) then tmp := abs(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 array_x[1] <= x_end and convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) < convfloat(glob_max_sec) do omniout_str(INFO, " "); omniout_str(INFO, "TOP MAIN SOLVE Loop"); 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; 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]/( 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*glob_h^(calc_term - 1)/convfp(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]/( 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*glob_h^(calc_term - 1)/convfp(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]/( 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*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; term_no := glob_max_terms; while 1 <= term_no do array_y[term_no] := array_y_higher_work2[1, term_no]; ord := 1; while ord <= order_diff do array_y_higher[ord, term_no] := array_y_higher_work2[ord, term_no]; ord := ord + 1 end do; term_no := term_no - 1 end do; display_alot(current_iter) end do; omniout_str(ALWAYS, "Finished!"); if glob_max_iter <= glob_iter then omniout_str(ALWAYS, "Maximum Iterations Reached before Solution Completed!") end if; if convfloat(glob_max_sec) <= elapsed_time_seconds() - convfloat(glob_orig_start_sec) then omniout_str(ALWAYS, "Maximum Time Reached before Solution Completed!") end if; glob_clock_sec := elapsed_time_seconds(); omniout_str(INFO, "diff ( y , x , 1 ) = m1 * 2.0 * x / (x * x + 1.0)\ /( x * x + 1.0);"); omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "); prog_report(x_start, x_end); if glob_html_log then logstart(html_log_file); logitem_str(html_log_file, "2012-06-16T00:35:57-05:00"); logitem_str(html_log_file, "Maple"); logitem_str(html_log_file, "sing4"); logitem_str(html_log_file, "diff ( y , x , 1 ) = m1 * 2.0 * x / (\ x * x + 1.0) /( x * x + 1.0);"); logitem_float(html_log_file, x_start); logitem_float(html_log_file, x_end); logitem_float(html_log_file, array_x[1]); logitem_float(html_log_file, glob_h); logitem_integer(html_log_file, Digits); logitem_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_optimal_expect_sec)) ; 0 else logitem_str(html_log_file, "Done"); 0 end if; log_revs(html_log_file, " 090 "); logitem_str(html_log_file, "sing4 diffeq.mxt"); logitem_str(html_log_file, "sing4 maple results"); logitem_str(html_log_file, "Test of revised logic - mostly affecting systems of eqs"); logend(html_log_file) end if; if glob_html_log then fclose(html_log_file) end if end proc > mainprog(); ##############ECHO OF PROBLEM################# ##############temp/sing4postode.ode################# diff ( y , x , 1 ) = m1 * 2.0 * x / (x * x + 1.0) /( x * x + 1.0); ! #BEGIN FIRST INPUT BLOCK Digits := 50; max_terms := 30; ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start := -2.0; x_end := 1.0; array_y_init[0 + 1] := exact_soln_y(x_start); glob_h := 0.1; glob_look_poles := true; glob_max_iter := 50; #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK glob_h := 0.001 ; glob_look_poles := true; glob_max_iter := 1000; glob_max_minutes := 15; #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK exact_soln_y := proc(x) 1.0 / (x * x + 1.0); end; #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = -2 y[1] (analytic) = 0.2 y[1] (numeric) = 0.2 absolute error = 0 relative error = 0 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.259 Order of pole = 3.572 x[1] = -1.999 y[1] (analytic) = 0.20016008803841312281562793922579 y[1] (numeric) = 0.20016008803841312280259461284531 absolute error = 1.303332638048339308860492544834e-20 relative error = 6.5114511630221412354063296144832e-18 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.258 Order of pole = 3.571 x[1] = -1.998 y[1] (analytic) = 0.20032035230741001008813294220117 y[1] (numeric) = 0.20032035230741001006185471122437 absolute error = 2.627823097679469423688110292262e-20 relative error = 1.3118103414908302080928741331413e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.257 Order of pole = 3.571 x[1] = -1.997 y[1] (analytic) = 0.20048079303786340401550999607258 y[1] (numeric) = 0.20048079303786340397577407231289 absolute error = 3.973592375968726322977791423664e-20 relative error = 1.9820314533663390617550130421359e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.256 Order of pole = 3.57 x[1] = -1.996 y[1] (analytic) = 0.20064141046096160204943162301245 y[1] (numeric) = 0.20064141046096160199602400264423 absolute error = 5.340762036822082842937713287864e-20 relative error = 2.6618443443713850042527050030127e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.255 Order of pole = 3.57 x[1] = -1.995 y[1] (analytic) = 0.20080220480820879413255957550414 y[1] (numeric) = 0.20080220480820879406526503337083 absolute error = 6.729454213331199196281435900738e-20 relative error = 3.3512850218744705277461457821573e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.254 Order of pole = 3.57 x[1] = -1.994 y[1] (analytic) = 0.20096317631142539965546873053169 y[1] (numeric) = 0.20096317631142539957407081443033 absolute error = 8.139791610136701766475236750477e-20 relative error = 4.0503896084538192911244371178897e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.253 Order of pole = 3.569 x[1] = -1.993 y[1] (analytic) = 0.2011243252027484041287605974921 y[1] (numeric) = 0.2011243252027484040330416224341 absolute error = 9.571897505799706773986903236436e-20 relative error = 4.7591943421813926265894808249818e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.253 Order of pole = 3.569 x[1] = -1.992 y[1] (analytic) = 0.20128565171463169556591863550872 y[1] (numeric) = 0.20128565171463169545565967795691 absolute error = 1.1025895755181605325430876859762e-19 relative error = 5.4777355769070546879481423815417e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.252 Order of pole = 3.568 x[1] = -1.991 y[1] (analytic) = 0.20144715607984640057243223871649 y[1] (numeric) = 0.20144715607984640044741313079817 absolute error = 1.2501910791832126269280949694002e-19 relative error = 6.2060497825428813202938446037951e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.251 Order of pole = 3.568 x[1] = -1.99 y[1] (analytic) = 0.20160883853148122013669079252434 y[1] (numeric) = 0.20160883853148121999669011622049 absolute error = 1.4000067630385693193010389622593e-19 relative error = 6.9441735453476076806650833567024e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.25 Order of pole = 3.568 memory used=3.8MB, alloc=3.1MB, time=0.20 x[1] = -1.989 y[1] (analytic) = 0.20177069930294276511812362934642 y[1] (numeric) = 0.20177069930294276496291871065676 absolute error = 1.5520491868966091806104986757436e-19 relative error = 7.6921435682112095888164853073250e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.249 Order of pole = 3.567 x[1] = -1.988 y[1] (analytic) = 0.20193273862795589142803601833872 y[1] (numeric) = 0.20193273862795589125740292142273 absolute error = 1.7063309691599463861361518456024e-19 relative error = 8.4499966709396135364258275452889e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.248 Order of pole = 3.567 x[1] = -1.987 y[1] (analytic) = 0.20209495674056403489856550978756 y[1] (numeric) = 0.2020949567405640347122790310812 absolute error = 1.8628647870635643673216851419922e-19 relative error = 9.2177697905395302318857754473664e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.247 Order of pole = 3.566 x[1] = -1.986 y[1] (analytic) = 0.20225735387512954583515702047411 y[1] (numeric) = 0.20225735387512954563299068278233 absolute error = 2.0216633769177853196535540537954e-19 relative error = 9.9954999815034065062898233385590e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.246 Order of pole = 3.566 x[1] = -1.985 y[1] (analytic) = 0.20241993026633402324792899108846 y[1] (numeric) = 0.20241993026633402302965503765325 absolute error = 2.1827395343520771532300425736313e-19 relative error = 1.0783224416094490354315887073318e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.245 Order of pole = 3.565 x[1] = -1.984 y[1] (analytic) = 0.20258268614917864875727677008648 y[1] (numeric) = 0.20258268614917864852266615863051 absolute error = 2.3461061145596994627985325847732e-19 relative error = 1.1580980384632003831436033262782e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.244 Order of pole = 3.565 x[1] = -1.983 y[1] (analytic) = 0.2027456217589845201690330797729 y[1] (numeric) = 0.20274562175898451991785547651858 absolute error = 2.5117760325431900840025312750234e-19 relative error = 1.2388805295776418476234760979954e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 3.565 x[1] = -1.982 y[1] (analytic) = 0.2029087373313929847144789993515 y[1] (numeric) = 0.20290873733139298444650277301543 absolute error = 2.6797622633606937923721923865507e-19 relative error = 1.3206736676814827873598892671255e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.242 Order of pole = 3.564 x[1] = -1.981 y[1] (analytic) = 0.2030720331023659719504723557026 y[1] (numeric) = 0.20307203310236597166546457146528 absolute error = 2.8500778423731346912111613602832e-19 relative error = 1.4034812173946411921147285767286e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.241 Order of pole = 3.564 x[1] = -1.98 y[1] (analytic) = 0.20323550930818632631493374522397 y[1] (numeric) = 0.20323550930818632601266015867474 absolute error = 3.0227358654922338239769203646343e-19 relative error = 1.4873069552567987307496038962147e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.24 Order of pole = 3.563 x[1] = -1.979 y[1] (analytic) = 0.20339916618545813933290361869491 y[1] (numeric) = 0.20339916618545813901312866975197 absolute error = 3.1977494894293735360197388533737e-19 relative error = 1.5721546697559638656802420908019e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.239 Order of pole = 3.563 x[1] = -1.978 y[1] (analytic) = 0.20356300397110708146835694528471 y[1] (numeric) = 0.20356300397110708113084375209018 absolute error = 3.3751319319453100996351677603106e-19 relative error = 1.6580281613570424739496167459842e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.239 Order of pole = 3.562 x[1] = -1.977 y[1] (analytic) = 0.20372702290238073361693493101497 y[1] (numeric) = 0.2037270229023807332614452838049 absolute error = 3.5548964721007361052950567497192e-19 relative error = 1.7449312425304154094187839612642e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.238 Order of pole = 3.562 x[1] = -1.976 y[1] (analytic) = 0.20389122321684891823472610068638 y[1] (numeric) = 0.20389122321684891786102045563561 absolute error = 3.7370564505076941106506170129757e-19 relative error = 1.8328677377805224350438360587032e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.237 Order of pole = 3.562 x[1] = -1.975 y[1] (analytic) = 0.20405560515240403009820175997959 y[1] (numeric) = 0.20405560515240402970603923302141 absolute error = 3.9216252695818430274463766308539e-19 relative error = 1.9218414836744519486379399476578e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.236 Order of pole = 3.561 x[1] = -1.974 y[1] (analytic) = 0.20422016894726136669038343562041 y[1] (numeric) = 0.20422016894726136627952179624085 absolute error = 4.1086163937955787148442479035849e-19 relative error = 2.0118563288705359199088672447534e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.235 Order of pole = 3.561 x[1] = -1.973 y[1] (analytic) = 0.20438491483995945820829234564187 y[1] (numeric) = 0.20438491483995945777848801064867 absolute error = 4.2980433499320102358305992956934e-19 relative error = 2.1029161341469494509145212261419e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.234 Order of pole = 3.56 x[1] = -1.972 y[1] (analytic) = 0.20454984306936039718670327836124 y[1] (numeric) = 0.20454984306936039673771130562727 absolute error = 4.4899197273397932213644382834942e-19 relative error = 2.1950247724303143663914924049334e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=7.6MB, alloc=4.1MB, time=0.46 Complex estimate of poles used Radius of convergence = 2.233 Order of pole = 3.56 x[1] = -1.971 y[1] (analytic) = 0.20471495387465016773319745719461 y[1] (numeric) = 0.20471495387465016726477153937573 absolute error = 4.6842591781888217747197914013270e-19 relative error = 2.2881861288243062346844000548650e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.232 Order of pole = 3.559 x[1] = -1.97 y[1] (analytic) = 0.20488024749533897436948103833309 y[1] (numeric) = 0.20488024749533897388137349656042 absolute error = 4.8810754177267803360783264790236e-19 relative error = 2.3824041006382642142364703711466e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.231 Order of pole = 3.559 x[1] = -1.969 y[1] (analytic) = 0.20504572417126157047390782907634 y[1] (numeric) = 0.20504572417126156996586960662269 absolute error = 5.0803822245365569148373980298493e-19 relative error = 2.4776825974158031147942311533052e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.23 Order of pole = 3.559 x[1] = -1.968 y[1] (analytic) = 0.20521138414257758632011662573384 y[1] (numeric) = 0.20521138414257758579189728165438 absolute error = 5.2821934407945190843121947396115e-19 relative error = 2.5740255409634270566311348458801e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.229 Order of pole = 3.558 x[1] = -1.967 y[1] (analytic) = 0.20537722764977185670666525093298 y[1] (numeric) = 0.20537722764977185615801295368001 absolute error = 5.4865229725296541205266988611830e-19 relative error = 2.6714368653791441052061223631299e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.228 Order of pole = 3.558 x[1] = -1.966 y[1] (analytic) = 0.20554325493365474817251492038488 y[1] (numeric) = 0.20554325493365474760317644139652 absolute error = 5.6933847898835746536048878650393e-19 relative error = 2.7699205170810812527433741825923e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.227 Order of pole = 3.557 x[1] = -1.965 y[1] (analytic) = 0.20570946623536248579318998812028 y[1] (numeric) = 0.20570946623536248520291069538314 absolute error = 5.9027929273713911868891616693809e-19 relative error = 2.8694804548360991122485264936236e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.226 Order of pole = 3.557 x[1] = -1.964 y[1] (analytic) = 0.20587586179635747955240940638578 y[1] (numeric) = 0.20587586179635747894093325797143 absolute error = 6.1147614841434528253254927194207e-19 relative error = 2.9701206497884056834642214484071e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.226 Order of pole = 3.556 x[1] = -1.963 y[1] (analytic) = 0.20604244185842865028395739124719 y[1] (numeric) = 0.2060424418584286496510269288224 absolute error = 6.3293046242479575408623853724094e-19 relative error = 3.0718450854881685442137734432505e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.225 Order of pole = 3.556 x[1] = -1.962 y[1] (analytic) = 0.20620920666369175517853180694529 y[1] (numeric) = 0.20620920666369175452388814925585 absolute error = 6.5464365768944332886114953710475e-19 relative error = 3.1746577579201248144857284558154e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.224 Order of pole = 3.556 x[1] = -1.961 y[1] (analytic) = 0.20637615645458971285027967064842 y[1] (numeric) = 0.20637615645458971217366250697661 absolute error = 6.7661716367180912733097850894410e-19 relative error = 3.2785626755321882344739303156373e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.223 Order of pole = 3.555 x[1] = -1.96 y[1] (analytic) = 0.20654329147389292795769993390615 y[1] (numeric) = 0.20654329147389292725884751750164 absolute error = 6.9885241640450526512044465949932e-19 relative error = 3.3835638592640526916071448634319e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.222 Order of pole = 3.555 x[1] = -1.959 y[1] (analytic) = 0.20671061196469961537356431728343 y[1] (numeric) = 0.20671061196469961465221345876758 absolute error = 7.2135085851584499378505686221557e-19 relative error = 3.4896653425757915253790876662599e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.221 Order of pole = 3.554 x[1] = -1.958 y[1] (analytic) = 0.20687811817043612389847745980151 y[1] (numeric) = 0.20687811817043612315436352054497 absolute error = 7.4411393925654043774656967953835e-19 relative error = 3.5968711714764519325236096404440e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.22 Order of pole = 3.554 x[1] = -1.957 y[1] (analytic) = 0.20704581033485725951266799438243 y[1] (numeric) = 0.20704581033485725874552487985595 absolute error = 7.6714311452648805144230655310900e-19 relative error = 3.7051854045526437887705728632270e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.219 Order of pole = 3.553 x[1] = -1.956 y[1] (analytic) = 0.20721368870204660816057237393948 y[1] (numeric) = 0.20721368870204660737013252703784 absolute error = 7.9043984690164191921843767264351e-19 relative error = 3.8146121129971221970653502281665e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.218 Order of pole = 3.553 x[1] = -1.955 y[1] (analytic) = 0.20738175351641685806274334952639 y[1] (numeric) = 0.20738175351641685724873774386542 absolute error = 8.1400560566097501894715613190365e-19 relative error = 3.9251553806373630657386605469427e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=11.4MB, alloc=4.3MB, time=0.72 Complex estimate of poles used Radius of convergence = 2.217 Order of pole = 3.552 x[1] = -1.954 y[1] (analytic) = 0.20755000502271012154958494149996 y[1] (numeric) = 0.20755000502271012071174307468643 absolute error = 8.3784186681352856877529666718890e-19 relative error = 4.0368193039641310136733572769295e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.216 Order of pole = 3.552 x[1] = -1.953 y[1] (analytic) = 0.20771844346599825641138554641064 y[1] (numeric) = 0.20771844346599825554943543328509 absolute error = 8.6195011312554957481708318855184e-19 relative error = 4.1496079921600388930305752400750e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.215 Order of pole = 3.552 x[1] = -1.952 y[1] (analytic) = 0.20788706909168318675909048575724 y[1] (numeric) = 0.20788706909168318587275865160952 absolute error = 8.8633183414771669598616956403358e-19 relative error = 4.2635255671280982135690553985490e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.214 Order of pole = 3.551 x[1] = -1.951 y[1] (analytic) = 0.20805588214549722339022482726681 y[1] (numeric) = 0.20805588214549722247923630102435 absolute error = 9.1098852624245454052174626979081e-19 relative error = 4.3785761635202597460182617928688e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.213 Order of pole = 3.551 x[1] = -1.95 y[1] (analytic) = 0.20822488287350338365434669442998 y[1] (numeric) = 0.20822488287350338271842500181865 absolute error = 9.3592169261133650710001559113252e-19 relative error = 4.4947639287659435753478248764139e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.212 Order of pole = 3.55 x[1] = -1.949 y[1] (analytic) = 0.20839407152209571081238052507387 y[1] (numeric) = 0.20839407152209570985124768175129 absolute error = 9.6113284332257628173558050852499e-19 relative error = 4.6120930231005578681126383637885e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.212 Order of pole = 3.55 x[1] = -1.948 y[1] (analytic) = 0.20856344833799959288414884422479 y[1] (numeric) = 0.20856344833799959189752534888619 absolute error = 9.8662349533860809996703611636105e-19 relative error = 4.7305676195940056113443479352608e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.211 Order of pole = 3.549 x[1] = -1.947 y[1] (analytic) = 0.20873301356827208097839007983829 y[1] (numeric) = 0.20873301356827207996599490729453 absolute error = 1.0123951725437558820870847092240e-18 relative error = 4.8501919041791785737057442087130e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.21 Order of pole = 3.549 x[1] = -1.946 y[1] (analytic) = 0.20890276746030220709951877158488 y[1] (numeric) = 0.20890276746030220606106936581289 absolute error = 1.0384494057719913474196022498692e-18 relative error = 4.9709700756804377328244527235348e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.209 Order of pole = 3.549 x[1] = -1.945 y[1] (analytic) = 0.2090727102618113014253532022099 y[1] (numeric) = 0.20907271026181130036056546937512 absolute error = 1.0647877328347812118640489255453e-18 relative error = 5.0929063458420794058760426121064e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.208 Order of pole = 3.548 x[1] = -1.944 y[1] (analytic) = 0.20924284222085330905000401746257 y[1] (numeric) = 0.20924284222085330795859231891355 absolute error = 1.0914116985490235711212224160085e-18 relative error = 5.2160049393567863135939944123532e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.207 Order of pole = 3.548 x[1] = -1.943 y[1] (analytic) = 0.20941316358581510618608579364134 y[1] (numeric) = 0.20941316358581510506776293887626 absolute error = 1.1183228547650735701833802301672e-18 relative error = 5.3402700938940628009446162607255e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.206 Order of pole = 3.547 x[1] = -1.942 y[1] (analytic) = 0.20958367460541681582038176085497 y[1] (numeric) = 0.20958367460541681467485900046011 absolute error = 1.1455227603948584578159862823852e-18 relative error = 5.4657060601286534307187155722666e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.205 Order of pole = 3.547 x[1] = -1.941 y[1] (analytic) = 0.20975437552871212281705999457575 y[1] (numeric) = 0.20975437552871212164404701313567 absolute error = 1.1730129814400821228775443987567e-18 relative error = 5.5923171017689441592583582477292e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.204 Order of pole = 3.547 x[1] = -1.94 y[1] (analytic) = 0.20992526660508858846250734738433 y[1] (numeric) = 0.20992526660508858726171225636381 absolute error = 1.2007950910205192074179436438286e-18 relative error = 5.7201074955853452964561163417417e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.203 Order of pole = 3.546 x[1] = -1.939 y[1] (analytic) = 0.2100963480842679644458152063955 y[1] (numeric) = 0.2100963480842679632169445369931 absolute error = 1.2288706694023988895642315558046e-18 relative error = 5.8490815314386554450355537850258e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.202 Order of pole = 3.546 x[1] = -1.938 y[1] (analytic) = 0.21026762021630650626891882912896 y[1] (numeric) = 0.21026762021630650501167752510208 absolute error = 1.2572413040268784272455242204099e-18 relative error = 5.9792435123084056069450628904912e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.201 Order of pole = 3.545 x[1] = -1.937 y[1] (analytic) = 0.21043908325159528608035953096495 y[1] (numeric) = 0.21043908325159528479445094142635 absolute error = 1.2859085895386065518256275679657e-18 relative error = 6.1105977543211826374722756085184e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=15.2MB, alloc=4.3MB, time=0.99 Complex estimate of poles used Radius of convergence = 2.2 Order of pole = 3.545 x[1] = -1.936 y[1] (analytic) = 0.21061073744086050492660637021661 y[1] (numeric) = 0.21061073744086050361173224240223 absolute error = 1.3148741278143767987026516226735e-18 relative error = 6.2431485867789312204128653590095e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.199 Order of pole = 3.544 x[1] = -1.935 y[1] (analytic) = 0.21078258303516380441484120167151 y[1] (numeric) = 0.21078258303516380307070167367964 absolute error = 1.3441395279918708598992162453682e-18 relative error = 6.3769003521872335303053591916817e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.199 Order of pole = 3.544 x[1] = -1.934 y[1] (analytic) = 0.21095462028590257778107804561514 y[1] (numeric) = 0.21095462028590257640737163911665 absolute error = 1.3737064064984920416045390583675e-18 relative error = 6.5118574062835657403723263525667e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.198 Order of pole = 3.544 x[1] = -1.933 y[1] (analytic) = 0.21112684944481028035745464625802 y[1] (numeric) = 0.21112684944481027895387825917773 absolute error = 1.4035763870802889075405278699923e-18 relative error = 6.6480241180655305273877273104120e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.197 Order of pole = 3.543 x[1] = -1.932 y[1] (analytic) = 0.211299270763956739432500870553 y[1] (numeric) = 0.21129927076395673799874976972203 absolute error = 1.4337511008309691869077334420622e-18 relative error = 6.7854048698190647172200250735063e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.196 Order of pole = 3.543 x[1] = -1.931 y[1] (analytic) = 0.2114718844957484634981552250156 y[1] (numeric) = 0.2114718844957484620339230387946 absolute error = 1.4642321862210040235234145396809e-18 relative error = 6.9240040571466212072806052620759e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.195 Order of pole = 3.542 x[1] = -1.93 y[1] (analytic) = 0.21164469089292895087726724375119 y[1] (numeric) = 0.21164469089292894938224595462437 absolute error = 1.4950212891268226405927847901633e-18 relative error = 7.0638260889953242945368488550427e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.194 Order of pole = 3.542 x[1] = -1.929 y[1] (analytic) = 0.21181769020857899772528982485007 y[1] (numeric) = 0.21181769020857899619916976198997 absolute error = 1.5261200628600974933555071155023e-18 relative error = 7.2048753876850975301285766680780e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.193 Order of pole = 3.542 x[1] = -1.928 y[1] (analytic) = 0.21199088269611700539983176403549 y[1] (numeric) = 0.21199088269611700384230159583837 absolute error = 1.5575301681971199796224317754102e-18 relative error = 7.3471563889367632139552612120568e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.192 Order of pole = 3.541 x[1] = -1.927 y[1] (analytic) = 0.21216426860929928719170675333718 y[1] (numeric) = 0.21216426860929928560245347992892 absolute error = 1.5892532734082667759621919667991e-18 relative error = 7.4906735419001126348791023006813e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.191 Order of pole = 3.541 x[1] = -1.926 y[1] (analytic) = 0.21233784820222037441108097801114 y[1] (numeric) = 0.21233784820222037278978992372358 absolute error = 1.6212910542875568650133282769581e-18 relative error = 7.6354313091819461544155092004554e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.19 Order of pole = 3.54 x[1] = -1.925 y[1] (analytic) = 0.21251162172931332182228715632886 y[1] (numeric) = 0.21251162172931332016864196214656 absolute error = 1.6536451941822993170848600826649e-18 relative error = 7.7814341668740822239574447264901e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.189 Order of pole = 3.54 x[1] = -1.924 y[1] (analytic) = 0.21268558944535001242083842360844 y[1] (numeric) = 0.21268558944535001073452103958561 absolute error = 1.6863173840228318868664064108386e-18 relative error = 7.9286866045813344177031848687273e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.188 Order of pole = 3.54 x[1] = -1.923 y[1] (analytic) = 0.21285975160544146154614086334638 y[1] (numeric) = 0.21285975160544145982683154099403 absolute error = 1.7193093223523504836978271859905e-18 relative error = 8.0771931254494555555280495740531e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.187 Order of pole = 3.539 x[1] = -1.922 y[1] (analytic) = 0.21303410846503812032336873392125 y[1] (numeric) = 0.21303410846503811857074601856442 absolute error = 1.7526227153568295714476527057243e-18 relative error = 8.2269582461930479820592834034973e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.187 Order of pole = 3.539 x[1] = -1.921 y[1] (analytic) = 0.21320866027993017842793152846517 y[1] (numeric) = 0.21320866027993017664167225157013 absolute error = 1.7862592768950335516190372792701e-18 relative error = 8.3779864971234390601792250277611e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.186 Order of pole = 3.538 x[1] = -1.92 y[1] (analytic) = 0.21338340730624786616592693752134 y[1] (numeric) = 0.21338340730624786434570620899272 absolute error = 1.8202207285286191808413530472985e-18 relative error = 8.5302824221765209290949169208598e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.185 Order of pole = 3.538 memory used=19.0MB, alloc=4.3MB, time=1.26 x[1] = -1.919 y[1] (analytic) = 0.21355834980046175586393855840853 y[1] (numeric) = 0.2135583498004617540094297588562 absolute error = 1.8545087995523290714145710152969e-18 relative error = 8.6838505789405535689720850679596e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.184 Order of pole = 3.538 x[1] = -1.918 y[1] (analytic) = 0.21373348801938306256150181117758 y[1] (numeric) = 0.2137334880193830606723765841533 absolute error = 1.8891252270242763210519953372527e-18 relative error = 8.8386955386839302059376758322921e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.183 Order of pole = 3.537 x[1] = -1.917 y[1] (analytic) = 0.21390882222016394399952597804996 y[1] (numeric) = 0.21390882222016394207545422225364 absolute error = 1.9240717557963203154144590483724e-18 relative error = 8.9948218863829040830075850461864e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.182 Order of pole = 3.537 x[1] = -1.916 y[1] (analytic) = 0.21408435266029779989792458065157 y[1] (numeric) = 0.21408435266029779793857444210704 absolute error = 1.9593501385445337444454880284422e-18 relative error = 9.1522342207492756141945635281829e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.181 Order of pole = 3.536 x[1] = -1.915 y[1] (analytic) = 0.21426007959761957051567044657157 y[1] (numeric) = 0.21426007959761956852070831077181 absolute error = 1.9949621357997608709019263298077e-18 relative error = 9.3109371542580389306952431146368e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.18 Order of pole = 3.536 x[1] = -1.914 y[1] (analytic) = 0.21443600329030603448645579316018 y[1] (numeric) = 0.21443600329030603245554627718191 absolute error = 2.0309095159782670868278195484426e-18 relative error = 9.4709353131749868196445063709290e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.179 Order of pole = 3.536 x[1] = -1.913 y[1] (analytic) = 0.21461212399687610592310147140218 y[1] (numeric) = 0.2146121239968761038559074159897 absolute error = 2.0671940554124797910407011386596e-18 relative error = 9.6322333375842730474597287639630e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.178 Order of pole = 3.535 x[1] = -1.912 y[1] (analytic) = 0.21478844197619113078382316553487 y[1] (numeric) = 0.21478844197619112868000562715305 absolute error = 2.1038175383818206179885450087753e-18 relative error = 9.7948358814159310512764604933354e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.177 Order of pole = 3.535 x[1] = -1.911 y[1] (analytic) = 0.21496495748745518249342583418764 y[1] (numeric) = 0.21496495748745518035264407704401 absolute error = 2.1407817571436290455922599638710e-18 relative error = 9.9587476124733479734005915633909e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.176 Order of pole = 3.535 x[1] = -1.91 y[1] (analytic) = 0.21514167079021535681246100557217 y[1] (numeric) = 0.21514167079021535463437249360799 absolute error = 2.1780885119641774069124291891289e-18 relative error = 1.0123973212460693005069662113990e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.175 Order of pole = 3.534 x[1] = -1.909 y[1] (analytic) = 0.21531858214436206594734470201092 y[1] (numeric) = 0.21531858214436206373160509086115 absolute error = 2.2157396111497773276697606171384e-18 relative error = 1.0290517377010298997127443508724e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.175 Order of pole = 3.534 x[1] = -1.908 y[1] (analytic) = 0.21549569181012933189439676721983 y[1] (numeric) = 0.21549569181012932964065989614185 absolute error = 2.2537368710779776088061293254361e-18 relative error = 1.0458384815709996286470926114031e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.174 Order of pole = 3.534 x[1] = -1.907 y[1] (analytic) = 0.21567300004809507901072520261939 y[1] (numeric) = 0.21567300004809507671864308639054 absolute error = 2.2920821162288535703968766915504e-18 relative error = 1.0627580252130397678327107915000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.173 Order of pole = 3.533 x[1] = -1.906 y[1] (analytic) = 0.21585050711918142580484178589529 y[1] (numeric) = 0.2158505071191814234740646066789 absolute error = 2.3307771792163878703148965005642e-18 relative error = 1.0798108423852133515558183844088e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.172 Order of pole = 3.533 x[1] = -1.905 y[1] (analytic) = 0.21602821328465497593985774542155 y[1] (numeric) = 0.21602821328465497357003384460161 absolute error = 2.3698239008199428081026971351409e-18 relative error = 1.0969974082493035757277587605995e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.171 Order of pole = 3.532 x[1] = -1.904 y[1] (analytic) = 0.21620611880612710844207059735156 y[1] (numeric) = 0.21620611880612710603284646733574 absolute error = 2.4092241300158241215297909208702e-18 relative error = 1.1143181993735269980085533443864e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.17 Order of pole = 3.532 x[1] = -1.903 y[1] (analytic) = 0.21638422394555426710771541752743 y[1] (numeric) = 0.21638422394555426465873569351849 absolute error = 2.4489797240089362802991341402481e-18 relative error = 1.1317736937352414206200941207950e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.169 Order of pole = 3.532 x[1] = -1.902 y[1] (analytic) = 0.21656252896523824910061581720737 y[1] (numeric) = 0.21656252896523824661152326894284 absolute error = 2.4890925482645292783176295933014e-18 relative error = 1.1493643707236483453676599680547e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=22.8MB, alloc=4.3MB, time=1.52 Complex estimate of poles used Radius of convergence = 2.168 Order of pole = 3.531 x[1] = -1.901 y[1] (analytic) = 0.21674103412782649273343171931343 y[1] (numeric) = 0.21674103412782649020386724277339 absolute error = 2.5295644765400369228616112240140e-18 relative error = 1.1670907111424898894735824726967e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.167 Order of pole = 3.531 x[1] = -1.9 y[1] (analytic) = 0.21691973969631236442516268980477 y[1] (numeric) = 0.21691973969631236185476529888777 absolute error = 2.5703973909170066158484585153144e-18 relative error = 1.1849531972127400499061393755599e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.166 Order of pole = 3.531 x[1] = -1.899 y[1] (analytic) = 0.21709864593403544482752706623094 y[1] (numeric) = 0.21709864593403544221593388439781 absolute error = 2.6115931818331206192697362495639e-18 relative error = 1.2029523125752902029600878382477e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.165 Order of pole = 3.53 x[1] = -1.898 y[1] (analytic) = 0.21727775310468181411279844185778 y[1] (numeric) = 0.21727775310468181145964469374347 absolute error = 2.6531537481143087936492198946746e-18 relative error = 1.2210885422936287249126344240130e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.164 Order of pole = 3.53 x[1] = -1.897 y[1] (analytic) = 0.21745706147228433641564220832865 y[1] (numeric) = 0.2174570614722843337205612113217 absolute error = 2.6950809970069527951605432451946e-18 relative error = 1.2393623728565146186400430612241e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.164 Order of pole = 3.53 x[1] = -1.896 y[1] (analytic) = 0.21763657130122294342145583196367 y[1] (numeric) = 0.21763657130122294068407898775349 absolute error = 2.7373768442101817137736858266322e-18 relative error = 1.2577742921806450301354752015183e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.163 Order of pole = 3.529 x[1] = -1.895 y[1] (analytic) = 0.21781628285622491709367733784939 y[1] (numeric) = 0.21781628285622491431363412394113 absolute error = 2.7800432139082591314967936185361e-18 relative error = 1.2763247896133165379180066922540e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.162 Order of pole = 3.529 x[1] = -1.894 y[1] (analytic) = 0.21799619640236517153248710116506 y[1] (numeric) = 0.217996196402365168709405062362 absolute error = 2.8230820388030615764395863689542e-18 relative error = 1.2950143559350800973660422416776e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.161 Order of pole = 3.529 x[1] = -1.893 y[1] (analytic) = 0.21817631220506653395728849606486 y[1] (numeric) = 0.21817631220506653109079323591821 absolute error = 2.8664952601466483450465344924595e-18 relative error = 1.3138434833623895210455193472929e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.16 Order of pole = 3.529 x[1] = -1.892 y[1] (analytic) = 0.21835663053010002480531322821936 y[1] (numeric) = 0.21835663053010002189502840044544 absolute error = 2.9102848277739226614317724176260e-18 relative error = 1.3328126655502433751343276597195e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.159 Order of pole = 3.528 x[1] = -1.891 y[1] (analytic) = 0.2185371516435851369386572771451 y[1] (numeric) = 0.21853715164358513398420457700972 absolute error = 2.9544527001353841392930352364463e-18 relative error = 1.3519223975948201710692353370785e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.158 Order of pole = 3.528 x[1] = -1.89 y[1] (analytic) = 0.21871787581199011395201329804685 y[1] (numeric) = 0.21871787581199011095301245371688 absolute error = 2.9990008443299725083884413615302e-18 relative error = 1.3711731760361067305602792749052e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.157 Order of pole = 3.528 x[1] = -1.889 y[1] (analytic) = 0.21889880330213222757332507938912 y[1] (numeric) = 0.21889880330213222452939384325112 absolute error = 3.0439312361380025640273731538641e-18 relative error = 1.3905654988605196011300093353634e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.156 Order of pole = 3.527 x[1] = -1.888 y[1] (analytic) = 0.21907993438117805414954922112702 y[1] (numeric) = 0.21907993438117805106030336107283 absolute error = 3.0892458600541902944547054522159e-18 relative error = 1.4100998655035193983411459043679e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.155 Order of pole = 3.527 x[1] = -1.887 y[1] (analytic) = 0.21926126931664375020966858878404 y[1] (numeric) = 0.21926126931664374707472187946327 absolute error = 3.1349467093207701373958716815011e-18 relative error = 1.4297767768522179498760832292968e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.154 Order of pole = 3.527 x[1] = -1.886 y[1] (analytic) = 0.21944280837639532709706130968735 y[1] (numeric) = 0.21944280837639532391602552372664 absolute error = 3.1810357859607033133784095548152e-18 relative error = 1.4495967352479781156252158827655e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.153 Order of pole = 3.526 x[1] = -1.885 y[1] (analytic) = 0.2196245518286489246632881089777 y[1] (numeric) = 0.21962455182864892143577300816673 absolute error = 3.2275151008109771797533618600695e-18 relative error = 1.4695602444890061569282501055315e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.153 Order of pole = 3.526 x[1] = -1.884 y[1] (analytic) = 0.21980649994197108401531963381996 y[1] (numeric) = 0.21980649994197108074093296026396 absolute error = 3.2743866735559955456068887071993e-18 relative error = 1.4896678098329365270934533470300e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=26.7MB, alloc=4.3MB, time=1.79 Complex estimate of poles used Radius of convergence = 2.152 Order of pole = 3.526 x[1] = -1.883 y[1] (analytic) = 0.21998865298527901930818408386495 y[1] (numeric) = 0.21998865298527901598653155110389 absolute error = 3.3216525327610598839783398857096e-18 relative error = 1.5099199379994089542941615856731e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.151 Order of pole = 3.526 x[1] = -1.882 y[1] (analytic) = 0.22017101122784088857497395376937 y[1] (numeric) = 0.22017101122784088520565923786343 absolute error = 3.3693147159059413739855013226158e-18 relative error = 1.5303171371726376869097724109221e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.15 Order of pole = 3.525 x[1] = -1.881 y[1] (analytic) = 0.22035357493927606358610899877726 y[1] (numeric) = 0.22035357493927606016873372935871 absolute error = 3.4173752694185437016004274007822e-18 relative error = 1.5508599170039727703398697213561e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.149 Order of pole = 3.525 x[1] = -1.88 y[1] (analytic) = 0.22053634438955539872971065631616 y[1] (numeric) = 0.2205363443895553952638744076075 absolute error = 3.4658362487086565439198581335745e-18 relative error = 1.5715487886144532232750204720880e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.148 Order of pole = 3.525 x[1] = -1.879 y[1] (analytic) = 0.22071931984900149890490109456918 y[1] (numeric) = 0.22071931984900149539020137636738 absolute error = 3.5146997182017996578323515906878e-18 relative error = 1.5923842645973519803561223243185e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.147 Order of pole = 3.525 x[1] = -1.878 y[1] (analytic) = 0.22090250158828898641979781235835 y[1] (numeric) = 0.22090250158828898285583006098519 absolute error = 3.5639677513731574899995898774515e-18 relative error = 1.6133668590207124670959303422797e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.146 Order of pole = 3.524 x[1] = -1.877 y[1] (analytic) = 0.22108588987844476688593228271845 y[1] (numeric) = 0.22108588987844476327228985193684 absolute error = 3.6136424307816042210414913672982e-18 relative error = 1.6344970874298766718715179806676e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.145 Order of pole = 3.524 x[1] = -1.876 y[1] (analytic) = 0.22126948499084829410077851455599 y[1] (numeric) = 0.22126948499084829043705266645217 absolute error = 3.6637258481038191527434303794199e-18 relative error = 1.6557754668500045787248993414421e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.144 Order of pole = 3.524 x[1] = -1.875 y[1] (analytic) = 0.22145328719723183391003460207612 y[1] (numeric) = 0.22145328719723183019581449790763 absolute error = 3.7142201041684923429886732970042e-18 relative error = 1.6772025157885848236308227856784e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.143 Order of pole = 3.524 x[1] = -1.874 y[1] (analytic) = 0.22163729676968072704125733951908 y[1] (numeric) = 0.22163729676968072327613003052846 absolute error = 3.7651273089906203889597300505595e-18 relative error = 1.6987787542379364358058070981598e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.143 Order of pole = 3.523 x[1] = -1.873 y[1] (analytic) = 0.22182151398063365090040679847449 y[1] (numeric) = 0.2218215139806336470839572166686 absolute error = 3.8164495818058922549483323464956e-18 relative error = 1.7205047036777015245407970552875e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.142 Order of pole = 3.523 x[1] = -1.872 y[1] (analytic) = 0.22200593910288288032281439593072 y[1] (numeric) = 0.22200593910288287645462534482555 absolute error = 3.8681890511051650368648229777036e-18 relative error = 1.7423808870773287709413318783600e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.141 Order of pole = 3.523 x[1] = -1.871 y[1] (analytic) = 0.22219057240957454727004442256114 y[1] (numeric) = 0.22219057240957454334969656789211 absolute error = 3.9203478546690295512435095457553e-18 relative error = 1.7644078288985475828538140045518e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.14 Order of pole = 3.523 x[1] = -1.87 y[1] (analytic) = 0.22237541417420889946407525184016 y[1] (numeric) = 0.22237541417420889549114711223769 absolute error = 3.9729281396024656322006340373455e-18 relative error = 1.7865860550978327701443031202539e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.139 Order of pole = 3.522 x[1] = -1.869 y[1] (analytic) = 0.22256046467064055795018251070905 y[1] (numeric) = 0.22256046467064055392425044833947 absolute error = 4.0259320623695870154156675503773e-18 relative error = 1.8089160931288595963772076226321e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.138 Order of pole = 3.522 x[1] = -1.868 y[1] (analytic) = 0.22274572417307877357986236096212 y[1] (numeric) = 0.22274572417307876950050057213364 absolute error = 4.0793617888284756837742852005167e-18 relative error = 1.8313984719449490618152686562045e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.137 Order of pole = 3.522 x[1] = -1.867 y[1] (analytic) = 0.22293119295608768240508871658289 y[1] (numeric) = 0.22293119295608767827186922231679 absolute error = 4.1332194942661055448322355105556e-18 relative error = 1.8540337220015032715292965675109e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.136 Order of pole = 3.522 x[1] = -1.866 y[1] (analytic) = 0.22311687129458655997515370521263 y[1] (numeric) = 0.22311687129458655578764634177928 absolute error = 4.1875073634333553057330145438650e-18 relative error = 1.8768223752584307412661918932963e-15 % h = 0.001 memory used=30.5MB, alloc=4.4MB, time=2.06 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.135 Order of pole = 3.522 x[1] = -1.865 y[1] (analytic) = 0.22330275946385007452729597105996 y[1] (numeric) = 0.22330275946385007028506838047985 absolute error = 4.2422275905801104066384083261724e-18 relative error = 1.8997649651825614925768286126473e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.134 Order of pole = 3.521 x[1] = -1.864 y[1] (analytic) = 0.22348885773950853906227651114226 y[1] (numeric) = 0.22348885773950853476489413165181 absolute error = 4.2973823794904538691091958159439e-18 relative error = 1.9228620267500517875513620241658e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.133 Order of pole = 3.521 x[1] = -1.863 y[1] (analytic) = 0.22367516639754816229601663606418 y[1] (numeric) = 0.22367516639754815794304269254623 absolute error = 4.3529739435179459112032244017068e-18 relative error = 1.9461140964487783523484128355194e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.133 Order of pole = 3.521 x[1] = -1.862 y[1] (analytic) = 0.22386168571431129847836734986268 y[1] (numeric) = 0.22386168571431129406936284424169 absolute error = 4.4090045056209921763392936406623e-18 relative error = 1.9695217122807219375363383621759e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.132 Order of pole = 3.521 x[1] = -1.861 y[1] (analytic) = 0.22404841596649669607003395005647 y[1] (numeric) = 0.22404841596649669160455765165817 absolute error = 4.4654762983983004182074211572014e-18 relative error = 1.9930854137643400620893965206781e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.131 Order of pole = 3.521 x[1] = -1.86 y[1] (analytic) = 0.22423535743115974526863395820253 y[1] (numeric) = 0.2242353574311597407462423940781 absolute error = 4.5223915641244254791887251642695e-18 relative error = 2.0168057419369287866990038742576e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.13 Order of pole = 3.52 x[1] = -1.859 y[1] (analytic) = 0.22442251038571272437482060225576 y[1] (numeric) = 0.22442251038571271979506804747036 absolute error = 4.5797525547854023948809462354919e-18 relative error = 2.0406832393569733608704505592750e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.129 Order of pole = 3.52 x[1] = -1.858 y[1] (analytic) = 0.22460987510792504498935798411739 y[1] (numeric) = 0.22460987510792504035179645200292 absolute error = 4.6375615321144674524081494181252e-18 relative error = 2.0647184501064875870783276145998e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.128 Order of pole = 3.52 x[1] = -1.857 y[1] (analytic) = 0.22479745187592349603198777821214 y[1] (numeric) = 0.22479745187592349133616701058427 absolute error = 4.6958207676278670252249965958918e-18 relative error = 2.0889119197933417440495110881998e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.127 Order of pole = 3.52 x[1] = -1.856 y[1] (analytic) = 0.22498524096819248657288081901827 y[1] (numeric) = 0.22498524096819248181834827635752 absolute error = 4.7545325426607540021067556165888e-18 relative error = 2.1132641955535789100307972532254e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.126 Order of pole = 3.52 x[1] = -1.855 y[1] (analytic) = 0.22517324266357428746742024645211 y[1] (numeric) = 0.22517324266357428265372109804894 absolute error = 4.8136991484031716229455118794871e-18 relative error = 2.1377758260537195256791591894599e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.125 Order of pole = 3.52 x[1] = -1.854 y[1] (analytic) = 0.22536145724126927178501598714178 y[1] (numeric) = 0.22536145724126926691169310120565 absolute error = 4.8733228859361245288504619640378e-18 relative error = 2.1624473614930540349860616480416e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.124 Order of pole = 3.519 x[1] = -1.853 y[1] (analytic) = 0.22554988498083615402260325617347 y[1] (numeric) = 0.22554988498083614908919718990573 absolute error = 4.9334060662677368288752869381184e-18 relative error = 2.1872793536059234414132932046424e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.124 Order of pole = 3.519 x[1] = -1.852 y[1] (analytic) = 0.22573852616219222809343046711622 y[1] (numeric) = 0.22573852616219222309947945674672 absolute error = 4.9939510103694969804680119937055e-18 relative error = 2.2122723556639876151763168202964e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.123 Order of pole = 3.519 x[1] = -1.851 y[1] (analytic) = 0.2259273810656136040816944372838 y[1] (numeric) = 0.22592738106561359902673438807121 absolute error = 5.0549600492125892754580431091813e-18 relative error = 2.2374269224784811863621665867902e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.122 Order of pole = 3.519 x[1] = -1.85 y[1] (analytic) = 0.22611644997173544375353306953081 y[1] (numeric) = 0.2261164499717354386370975457265 absolute error = 5.1164355238043117180608119123140e-18 relative error = 2.2627436104024568573123940682208e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.121 Order of pole = 3.519 x[1] = -1.849 y[1] (analytic) = 0.22630573316155219481483778065588 y[1] (numeric) = 0.2263057331615521896364579954313 absolute error = 5.1783797852245800759922354783507e-18 relative error = 2.2882229773330159664374566123972e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.12 Order of pole = 3.519 memory used=34.3MB, alloc=4.4MB, time=2.33 x[1] = -1.848 y[1] (analytic) = 0.2264952309164178239062998289508 y[1] (numeric) = 0.22649523091641781866550463428828 absolute error = 5.2407951946625178803425843730024e-18 relative error = 2.3138655827135261343572065635580e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.119 Order of pole = 3.519 x[1] = -1.847 y[1] (analytic) = 0.22668494351804604832605636883816 y[1] (numeric) = 0.22668494351804604302237224538503 absolute error = 5.3036841234531321443619230241463e-18 relative error = 2.3396719875358258219827486486026e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.118 Order of pole = 3.519 x[1] = -1.846 y[1] (analytic) = 0.22687487124851056647025352813112 y[1] (numeric) = 0.22687487124851056110320457501705 absolute error = 5.3670489531140745657566119040983e-18 relative error = 2.3656427543424156288678470395484e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.117 Order of pole = 3.518 x[1] = -1.845 y[1] (analytic) = 0.22706501439024528698179506247126 y[1] (numeric) = 0.22706501439024528155090298708877 absolute error = 5.4308920753824879714880086801224e-18 relative error = 2.3917784472286361588632477427476e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.116 Order of pole = 3.518 x[1] = -1.844 y[1] (analytic) = 0.22725537322604455659749619119994 y[1] (numeric) = 0.22725537322604455110228029894801 absolute error = 5.4952158922519377584000403139487e-18 relative error = 2.4180796318448322788046999794920e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.115 Order of pole = 3.518 x[1] = -1.843 y[1] (analytic) = 0.22744594803906338668381305853617 y[1] (numeric) = 0.22744594803906338112379024252674 absolute error = 5.5600228160094280772813021336401e-18 relative error = 2.4445468753985035946550759744567e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.115 Order of pole = 3.518 x[1] = -1.842 y[1] (analytic) = 0.22763673911281767845126889271116 y[1] (numeric) = 0.22763673911281767282595362343866 absolute error = 5.6253152692725025021893324252052e-18 relative error = 2.4711807466564409682027658527959e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.114 Order of pole = 3.518 x[1] = -1.841 y[1] (analytic) = 0.22782774673118444683764835288513 y[1] (numeric) = 0.2278277467311844411465526678587 absolute error = 5.6910956850264289210292685357591e-18 relative error = 2.4979818159468488960924268827905e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.113 Order of pole = 3.518 x[1] = -1.84 y[1] (analytic) = 0.22801897117840204304998175848231 y[1] (numeric) = 0.22801897117840203729261525182084 absolute error = 5.7573665066614683774857664476274e-18 relative error = 2.5249506551614535716301577332715e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.112 Order of pole = 3.518 x[1] = -1.839 y[1] (analytic) = 0.22821041273907037575529088726155 y[1] (numeric) = 0.22821041273907036993116069925132 absolute error = 5.8241301880102275884554110274246e-18 relative error = 2.5520878377575964484632123144704e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.111 Order of pole = 3.518 x[1] = -1.838 y[1] (analytic) = 0.22840207169815113091001780622551 y[1] (numeric) = 0.22840207169815112501862861284041 absolute error = 5.8913891933850948551164065677942e-18 relative error = 2.5793939387603131238844276357006e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.11 Order of pole = 3.518 x[1] = -1.837 y[1] (analytic) = 0.2285939483409679902180077625933 y[1] (numeric) = 0.22859394834096798425886176497754 absolute error = 5.9591459976157590797026618393498e-18 relative error = 2.6068695347643973581535793699903e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.109 Order of pole = 3.518 x[1] = -1.836 y[1] (analytic) = 0.22878604295320684820686650974995 y[1] (numeric) = 0.22878604295320684217946342366313 absolute error = 6.0274030860868115939200127858716e-18 relative error = 2.6345152039364500448618608205715e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.108 Order of pole = 3.518 x[1] = -1.835 y[1] (analytic) = 0.22897835582091602791246157456966 y[1] (numeric) = 0.22897835582091602181629861979423 absolute error = 6.0961629547754304987527984558398e-18 relative error = 2.6623315260169129459915690236305e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.107 Order of pole = 3.518 x[1] = -1.834 y[1] (analytic) = 0.22917088723050649516128588701509 y[1] (numeric) = 0.22917088723050648899585777672594 absolute error = 6.1654281102891472091588580832881e-18 relative error = 2.6903190823220870039408390142480e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.106 Order of pole = 3.517 x[1] = -1.833 y[1] (analytic) = 0.22936363746875207144035088966715 y[1] (numeric) = 0.22936363746875206520514981976345 absolute error = 6.2352010699036948908397827996842e-18 relative error = 2.7184784557461350413928569790732e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.106 Order of pole = 3.517 x[1] = -1.832 y[1] (analytic) = 0.22955660682278964534422472306291 y[1] (numeric) = 0.22955660682278963903874036146197 absolute error = 6.3054843616009384699004647257909e-18 relative error = 2.7468102307630686585103682049644e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.105 Order of pole = 3.517 x[1] = -1.831 y[1] (analytic) = 0.22974979558011938258877934163358 y[1] (numeric) = 0.22974979558011937621249881752669 absolute error = 6.3762805241068858897771666557845e-18 relative error = 2.7753149934287191355294394276468e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=38.1MB, alloc=4.4MB, time=2.59 Complex estimate of poles used Radius of convergence = 2.104 Order of pole = 3.517 x[1] = -1.83 y[1] (analytic) = 0.2299432040286049345811584538619 y[1] (numeric) = 0.22994320402860492813356634693212 absolute error = 6.4475921069297802833160117378821e-18 relative error = 2.8039933313826921474113003446876e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.103 Order of pole = 3.517 x[1] = -1.829 y[1] (analytic) = 0.23013683245647364553542599823577 y[1] (numeric) = 0.2301368324564736390160043278375 absolute error = 6.5194216703982727213234860311051e-18 relative error = 2.8328458338503060957876385765285e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.102 Order of pole = 3.517 x[1] = -1.828 y[1] (analytic) = 0.23033068115231675812330246287991 y[1] (numeric) = 0.23033068115231675153153067718023 absolute error = 6.5917717856996751922867761406725e-18 relative error = 2.8618730916445138620029190703925e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.101 Order of pole = 3.517 x[1] = -1.827 y[1] (analytic) = 0.23052475040508961764934373061431 y[1] (numeric) = 0.23052475040508961098469869569602 absolute error = 6.6646450349182934612740448655196e-18 relative error = 2.8910756971678077836171056169439e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.1 Order of pole = 3.517 x[1] = -1.826 y[1] (analytic) = 0.23071904050411187473986428183161 y[1] (numeric) = 0.23071904050411186800182027075777 absolute error = 6.7380440110738394492725924749484e-18 relative error = 2.9204542444141076552835415021949e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.099 Order of pole = 3.517 x[1] = -1.825 y[1] (analytic) = 0.23091355173906768653485351421562 y[1] (numeric) = 0.23091355173906767972288219605569 absolute error = 6.8119713181599227674057693827937e-18 relative error = 2.9500093289706315534596610033361e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.098 Order of pole = 3.517 x[1] = -1.824 y[1] (analytic) = 0.23110828440000591637208064015146 y[1] (numeric) = 0.23110828440000590948565106896884 absolute error = 6.8864295711826210335870040803132e-18 relative error = 2.9797415480197492829426160567417e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.098 Order of pole = 3.517 x[1] = -1.823 y[1] (analytic) = 0.2313032387773403319525300989122 y[1] (numeric) = 0.23130323877734032499110870271308 absolute error = 6.9614213961991285922208916423267e-18 relative error = 3.0096515003408182417477755243129e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.097 Order of pole = 3.517 x[1] = -1.822 y[1] (analytic) = 0.23149841516184980197625567055368 y[1] (numeric) = 0.2314984151618497949393062401972 absolute error = 7.0369494303564832505464532867862e-18 relative error = 3.0397397863120014993653505519678e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.096 Order of pole = 3.517 x[1] = -1.821 y[1] (analytic) = 0.23169381384467849123768750111503 y[1] (numeric) = 0.23169381384467848412467117918466 absolute error = 7.1130163219303706381359236178618e-18 relative error = 3.0700070079120678819390809907560e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.095 Order of pole = 3.517 x[1] = -1.82 y[1] (analytic) = 0.2318894351173360541693720434097 y[1] (numeric) = 0.2318894351173360469797473130457 absolute error = 7.1896247303640057889132434961302e-18 relative error = 3.1004537687221738564109471252712e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.094 Order of pole = 3.517 x[1] = -1.819 y[1] (analytic) = 0.23208527927169782682307048360306 y[1] (numeric) = 0.23208527927169781955629315729597 absolute error = 7.2667773263070915378393240306858e-18 relative error = 3.1310806739276270041672103649782e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.093 Order of pole = 3.517 x[1] = -1.818 y[1] (analytic) = 0.23228134660000501727708656010837 y[1] (numeric) = 0.23228134660000500993260976845352 absolute error = 7.3444767916548533171255889332616e-18 relative error = 3.1618883303196308732036983930719e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.092 Order of pole = 3.518 x[1] = -1.817 y[1] (analytic) = 0.23247763739486489445863978729226 y[1] (numeric) = 0.23247763739486488703591396770511 absolute error = 7.4227258195871499294827832396862e-18 relative error = 3.1928773462970109963020967794895e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.091 Order of pole = 3.518 x[1] = -1.816 y[1] (analytic) = 0.23267415194925097537004497126009 y[1] (numeric) = 0.23267415194925096786851785665243 absolute error = 7.5015271146076598684880378721598e-18 relative error = 3.2240483318679218611740524497089e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.091 Order of pole = 3.518 x[1] = -1.815 y[1] (analytic) = 0.23287089055650321070740354778802 y[1] (numeric) = 0.23287089055650320312652015520487 absolute error = 7.5808833925831427486591802144419e-18 relative error = 3.2554018986515346169860968156362e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.09 Order of pole = 3.518 x[1] = -1.814 y[1] (analytic) = 0.23306785351032816886045668247488 y[1] (numeric) = 0.23306785351032816119965930169211 absolute error = 7.6607973807827754002607561606623e-18 relative error = 3.2869386598797053001257199339913e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.089 Order of pole = 3.518 x[1] = -1.813 y[1] (analytic) = 0.23326504110479921828219424959686 y[1] (numeric) = 0.2332650411047992105409224316793 absolute error = 7.7412718179175621762306511562829e-18 relative error = 3.3186592303986233605073338356799e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=41.9MB, alloc=4.4MB, time=2.86 Complex estimate of poles used Radius of convergence = 2.088 Order of pole = 3.518 x[1] = -1.812 y[1] (analytic) = 0.23346245363435670821675774815191 y[1] (numeric) = 0.23346245363435670039444829397209 absolute error = 7.8223094541798190109090355631458e-18 relative error = 3.3505642266704402681463152025187e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.087 Order of pole = 3.518 x[1] = -1.811 y[1] (analytic) = 0.23366009139380814777411892036887 y[1] (numeric) = 0.23366009139380813987020586908614 absolute error = 7.9039130512827307624720790307568e-18 relative error = 3.3826542667748779781497768541590e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.086 Order of pole = 3.518 x[1] = -1.81 y[1] (analytic) = 0.23385795467832838333995930871589 y[1] (numeric) = 0.2338579546783283753538739262159 absolute error = 7.9860853824999813631209420067101e-18 relative error = 3.4149299704108170306841460114893e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.085 Order of pole = 3.518 x[1] = -1.809 y[1] (analytic) = 0.23405604378345977430911922136108 y[1] (numeric) = 0.23405604378345976624028998865562 absolute error = 8.0688292327054562931514194043979e-18 relative error = 3.4473919588978640608819869528321e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.084 Order of pole = 3.518 x[1] = -1.808 y[1] (analytic) = 0.23425435900511236713092757230027 y[1] (numeric) = 0.23425435900511235897878017388725 absolute error = 8.1521473984130168870307378577929e-18 relative error = 3.4800408551778984920437583734569e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.083 Order of pole = 3.518 x[1] = -1.807 y[1] (analytic) = 0.23445290063956406765466682015517 y[1] (numeric) = 0.23445290063956405941862413233882 absolute error = 8.2360426878163459715348467688224e-18 relative error = 3.5128772838165981838743033645873e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.083 Order of pole = 3.518 x[1] = -1.806 y[1] (analytic) = 0.23465166898346081176336974814367 y[1] (numeric) = 0.23465166898346080344285182731481 absolute error = 8.3205179208288643278515440639944e-18 relative error = 3.5459018710049438058687942838705e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.082 Order of pole = 3.518 x[1] = -1.805 y[1] (analytic) = 0.2348506643338167342840871061114 y[1] (numeric) = 0.23485066433381672587851117698768 absolute error = 8.4055759291237174613313865163068e-18 relative error = 3.5791152445607017043285577071097e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.081 Order of pole = 3.519 x[1] = -1.804 y[1] (analytic) = 0.23504988698801433616270717297039 y[1] (numeric) = 0.23504988698801432767148761679656 absolute error = 8.4912195561738321542689946583701e-18 relative error = 3.6125180339298850298436479178484e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.08 Order of pole = 3.519 x[1] = -1.803 y[1] (analytic) = 0.23524933724380464989135009359395 y[1] (numeric) = 0.23524933724380464131389843630191 absolute error = 8.5774516572920422687215134128550e-18 relative error = 3.6461108701881928904261827708985e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.079 Order of pole = 3.519 x[1] = -1.802 y[1] (analytic) = 0.23544901539930740317630139734282 y[1] (numeric) = 0.23544901539930739451202629767153 absolute error = 8.6642750996712832579180679821162e-18 relative error = 3.6798943860424272938162650005916e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.078 Order of pole = 3.519 x[1] = -1.801 y[1] (analytic) = 0.2356489217530111808343904151215 y[1] (numeric) = 0.23564892175301117208269765269664 absolute error = 8.7516927624248548362834933290333e-18 relative error = 3.7138692158318876408107468574579e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.077 Order of pole = 3.519 x[1] = -1.8 y[1] (analytic) = 0.23584905660377358490566037735849 y[1] (numeric) = 0.23584905660377357606595284073174 absolute error = 8.8397075366267512494908444664507e-18 relative error = 3.7480359955297425297841180537751e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.076 Order of pole = 3.519 x[1] = -1.799 y[1] (analytic) = 0.23604942025082139297011779574219 y[1] (numeric) = 0.23604942025082138404179547039013 absolute error = 8.9283223253520585772696401237837e-18 relative error = 3.7823953627443786308803680690037e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.076 Order of pole = 3.519 x[1] = -1.798 y[1] (analytic) = 0.23625001299375071465628930609591 y[1] (numeric) = 0.23625001299375070563874926237849 absolute error = 9.0175400437174184929298771854261e-18 relative error = 3.8169479567207263866547555869980e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.075 Order of pole = 3.52 x[1] = -1.797 y[1] (analytic) = 0.23645083513252714632925447761035 y[1] (numeric) = 0.23645083513252713722189085868879 absolute error = 9.1073636189215578947149972321922e-18 relative error = 3.8516944183415622942349718729362e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.074 Order of pole = 3.52 x[1] = -1.796 y[1] (analytic) = 0.23665188696748592394576317393724 y[1] (numeric) = 0.23665188696748591474796718365136 absolute error = 9.1977959902858838151696058149272e-18 relative error = 3.8866353901287875223521729045249e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.073 Order of pole = 3.52 x[1] = -1.795 y[1] (analytic) = 0.23685316879933207406398588355114 y[1] (numeric) = 0.236853168799332064775145774256 absolute error = 9.2888401092951430056992526029147e-18 relative error = 3.9217715162446826148637386970821e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=45.7MB, alloc=4.4MB, time=3.12 Complex estimate of poles used Radius of convergence = 2.072 Order of pole = 3.52 x[1] = -1.794 y[1] (analytic) = 0.23705468092914056299538501947167 y[1] (numeric) = 0.23705468092914055361488607983353 absolute error = 9.3804989396381455844093857252339e-18 relative error = 3.9571034424931380306513591481213e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.071 Order of pole = 3.52 x[1] = -1.793 y[1] (analytic) = 0.23725642365835644408613452107062 y[1] (numeric) = 0.23725642365835643461335906382207 absolute error = 9.4727754572485521261381024879187e-18 relative error = 3.9926318163208602680301055133102e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.07 Order of pole = 3.52 x[1] = -1.792 y[1] (analytic) = 0.23745839728879500311545417242899 y[1] (numeric) = 0.23745839728879499354978152208327 absolute error = 9.5656726503457235643419338002673e-18 relative error = 4.0283572868185533200464869503449e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.07 Order of pole = 3.521 x[1] = -1.791 y[1] (analytic) = 0.23766060212264190179816388172012 y[1] (numeric) = 0.23766060212264189213897036224449 absolute error = 9.6591935194756332651550202347318e-18 relative error = 4.0642805047220752052760740696297e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.069 Order of pole = 3.521 x[1] = -1.79 y[1] (analytic) = 0.23786303846245331937870174353607 y[1] (numeric) = 0.23786303846245330962536066598423 absolute error = 9.7533410775518406245190593783878e-18 relative error = 4.1004021224135693169540577532680e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.068 Order of pole = 3.521 x[1] = -1.789 y[1] (analytic) = 0.23806570661115609230378803010388 y[1] (numeric) = 0.23806570661115608245566968020736 absolute error = 9.8481183498965255297737192479069e-18 relative error = 4.1367227939225703314850632948937e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.067 Order of pole = 3.521 x[1] = -1.788 y[1] (analytic) = 0.23826860687204785196085532711421 y[1] (numeric) = 0.23826860687204784201732695283262 absolute error = 9.9435283742815830175042097971344e-18 relative error = 4.1732431749270844155816188282824e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.066 Order of pole = 3.521 x[1] = -1.787 y[1] (analytic) = 0.23847173954879716046930284456245 y[1] (numeric) = 0.23847173954879715042972864359267 absolute error = 1.0039574200969777449763769223822e-17 relative error = 4.2099639227546434694738447186330e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.065 Order of pole = 3.522 x[1] = -1.786 y[1] (analytic) = 0.23867510494544364451157049173755 y[1] (numeric) = 0.23867510494544363437531159898159 absolute error = 1.0136258892755955521023335660090e-17 relative error = 4.2468856963833331418161487655301e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.064 Order of pole = 3.522 x[1] = -1.785 y[1] (analytic) = 0.23887870336639812719096560743868 y[1] (numeric) = 0.23887870336639811695738008243037 absolute error = 1.0233585525008317398348016182687e-17 relative error = 4.2840091564427943500899424044369e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.063 Order of pole = 3.522 x[1] = -1.784 y[1] (analytic) = 0.23908253511644275790311228080913 y[1] (numeric) = 0.23908253511644274757155509509939 absolute error = 1.0331557185709745287359508658944e-17 relative error = 4.3213349652151980384645973049383e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.063 Order of pole = 3.522 x[1] = -1.783 y[1] (analytic) = 0.23928660050073114020782998399891 y[1] (numeric) = 0.23928660050073112977765300849972 absolute error = 1.0430176975499188706514748978655e-17 relative error = 4.3588637866361929032320015794460e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.062 Order of pole = 3.523 x[1] = -1.782 y[1] (analytic) = 0.23949089982478845768818476435532 y[1] (numeric) = 0.23949089982478844715873675664222 absolute error = 1.0529448007713105742113114398298e-17 relative error = 4.3965962862958258140731119884838e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.061 Order of pole = 3.523 x[1] = -1.781 y[1] (analytic) = 0.23969543339451159778339251014091 y[1] (numeric) = 0.23969543339451158715401910171396 absolute error = 1.0629373408426959546236877179703e-17 relative error = 4.4345331314394346575477948355509e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.06 Order of pole = 3.523 x[1] = -1.78 y[1] (analytic) = 0.23990020151616927358218980903944 y[1] (numeric) = 0.23990020151616926285223349254267 absolute error = 1.0729956316496769329531632018885e-17 relative error = 4.4726749909685133273219654907521e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.059 Order of pole = 3.523 x[1] = -1.779 y[1] (analytic) = 0.24010520449640214356322366207978 y[1] (numeric) = 0.24010520449640213273202377847906 absolute error = 1.0831199883600715090344472940543e-17 relative error = 4.5110225354415485837585365026166e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.058 Order of pole = 3.524 x[1] = -1.778 y[1] (analytic) = 0.24031044264222292926894679622924 y[1] (numeric) = 0.24031044264222291833583952194845 absolute error = 1.0933107274280795311257123808503e-17 relative error = 4.5495764370748285036009289190344e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.057 Order of pole = 3.524 memory used=49.5MB, alloc=4.4MB, time=3.39 x[1] = -1.777 y[1] (analytic) = 0.24051591626101653089944053592719 y[1] (numeric) = 0.24051591626101651986375886994265 absolute error = 1.1035681665984536843478381211017e-17 relative error = 4.5883373697432222385698526434099e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.057 Order of pole = 3.524 x[1] = -1.776 y[1] (analytic) = 0.24072162566054014081252214638956 y[1] (numeric) = 0.2407216256605401296735958972828 absolute error = 1.1138926249106756188894455461734e-17 relative error = 4.6273060089809307997756813412204e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.056 Order of pole = 3.524 x[1] = -1.775 y[1] (analytic) = 0.24092757114892335491642824875772 y[1] (numeric) = 0.24092757114892334367358402172635 absolute error = 1.1242844227031371378816437442566e-17 relative error = 4.6664830319822085829199975660050e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.055 Order of pole = 3.525 x[1] = -1.774 y[1] (analytic) = 0.24113375303466828194130032823126 y[1] (numeric) = 0.241133753034668270593861512058 absolute error = 1.1347438816173263637610515014887e-17 relative error = 4.7058691176020553473207264165876e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.054 Order of pole = 3.525 x[1] = -1.773 y[1] (analytic) = 0.2413401716266496505756325103553 y[1] (numeric) = 0.24134017162664963912291926433512 absolute error = 1.1452713246020188008448048123723e-17 relative error = 4.7454649463568783598456732394040e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.053 Order of pole = 3.525 x[1] = -1.772 y[1] (analytic) = 0.24154682723411491445377566676586 y[1] (numeric) = 0.24154682723411490289510490759113 absolute error = 1.1558670759174732107368518261204e-17 relative error = 4.7852712004251244128791947705091e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.052 Order of pole = 3.526 x[1] = -1.771 y[1] (analytic) = 0.24175372016668435498052552907197 y[1] (numeric) = 0.24175372016668434331521091767565 absolute error = 1.1665314611396322160708023739280e-17 relative error = 4.8252885636478814234761258424130e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.051 Order of pole = 3.526 x[1] = -1.77 y[1] (analytic) = 0.24196085073435118197875583730552 y[1] (numeric) = 0.24196085073435117020610776566225 absolute error = 1.1772648071643275469708721690269e-17 relative error = 4.8655177215294493188759175873712e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.05 Order of pole = 3.526 x[1] = -1.769 y[1] (analytic) = 0.24216821924748163214599062663691 y[1] (numeric) = 0.24216821924748162026531620452201 absolute error = 1.1880674422114898434789741645072e-17 relative error = 4.9059593612378799115581802349236e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.05 Order of pole = 3.527 x[1] = -1.768 y[1] (analytic) = 0.24237582601681506530574256197065 y[1] (numeric) = 0.24237582601681505331634560367702 absolute error = 1.1989396958293629260526931037010e-17 relative error = 4.9466141716054854650184264718840e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.049 Order of pole = 3.527 x[1] = -1.767 y[1] (analytic) = 0.24258367135346405843937676373491 y[1] (numeric) = 0.24258367135346404634055777474768 absolute error = 1.2098818988987224450856653465988e-17 relative error = 4.9874828431293156494297423159654e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.048 Order of pole = 3.527 x[1] = -1.766 y[1] (analytic) = 0.24279175556891449748419182879491 y[1] (numeric) = 0.24279175556891448527524799242392 absolute error = 1.2208943836370988192387055763922e-17 relative error = 5.0285660679716025843323340249989e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.047 Order of pole = 3.528 x[1] = -1.765 y[1] (analytic) = 0.24300007897502566688334173708606 y[1] (numeric) = 0.24300007897502565456356690105602 absolute error = 1.2319774836030043711968055859515e-17 relative error = 5.0698645399601736634583742674474e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.046 Order of pole = 3.528 x[1] = -1.764 y[1] (analytic) = 0.2432086418840303368731540464081 y[1] (numeric) = 0.24320864188403032444183870940645 absolute error = 1.2431315337001645682838082472473e-17 relative error = 5.1113789545888318547542612349738e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.045 Order of pole = 3.528 x[1] = -1.763 y[1] (analytic) = 0.24341744460853484849333121397878 y[1] (numeric) = 0.24341744460853483594976251216125 absolute error = 1.2543568701817532741730618382222e-17 relative error = 5.1531100090177031666062732788676e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.044 Order of pole = 3.529 x[1] = -1.762 y[1] (analytic) = 0.24362648746151919630545304294355 y[1] (numeric) = 0.24362648746151918364891473639723 absolute error = 1.2656538306546319167286156298634e-17 relative error = 5.1950584020735509692086117734249e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.044 Order of pole = 3.529 x[1] = -1.761 y[1] (analytic) = 0.24383577075633710880512913420501 y[1] (numeric) = 0.24383577075633709603490159336909 absolute error = 1.2770227540835924757974561365125e-17 relative error = 5.2372248342500568579349391080303e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.043 Order of pole = 3.529 x[1] = -1.76 y[1] (analytic) = 0.24404529480671612651308082780164 y[1] (numeric) = 0.2440452948067161136284410198456 absolute error = 1.2884639807956041935488334461683e-17 relative error = 5.2796100077080677434856999290191e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.042 Order of pole = 3.53 memory used=53.4MB, alloc=4.4MB, time=3.65 x[1] = -1.759 y[1] (analytic) = 0.24425505992675767773036244275577 y[1] (numeric) = 0.24425505992675766473058391791513 absolute error = 1.2999778524840639087218169413996e-17 relative error = 5.3222146262758088514837250252622e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.041 Order of pole = 3.53 x[1] = -1.758 y[1] (analytic) = 0.24446506643093715194286166895323 y[1] (numeric) = 0.24446506643093713882721454682273 absolute error = 1.3115647122130499148967774868319e-17 relative error = 5.3650393954490623120798217036449e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.04 Order of pole = 3.53 x[1] = -1.757 y[1] (analytic) = 0.24467531463410397086014872833675 y[1] (numeric) = 0.24467531463410395762789968412096 absolute error = 1.3232249044215792416504464111991e-17 relative error = 5.4080850223913110180082153544447e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.039 Order of pole = 3.531 x[1] = -1.756 y[1] (analytic) = 0.24488580485148165707367340461796 y[1] (numeric) = 0.24488580485148164372408565533928 absolute error = 1.3349587749278682561874775890846e-17 relative error = 5.4513522159338474273987874842200e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.038 Order of pole = 3.531 x[1] = -1.755 y[1] (analytic) = 0.24509653739866790031923823996176 y[1] (numeric) = 0.2450965373986678868515715306258 absolute error = 1.3467666709335964817639644906120e-17 relative error = 5.4948416865758469855090192208094e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.038 Order of pole = 3.532 x[1] = -1.754 y[1] (analytic) = 0.2453075125916346213286051127973 y[1] (numeric) = 0.24530751259163460774211570251557 absolute error = 1.3586489410281735279300656992591e-17 relative error = 5.5385541464844058373833597040810e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.037 Order of pole = 3.532 x[1] = -1.753 y[1] (analytic) = 0.24551873074672803325502104218282 y[1] (numeric) = 0.24551873074672801954896169025273 absolute error = 1.3706059351930090263196962026095e-17 relative error = 5.5824903094945425012813595104941e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.036 Order of pole = 3.532 x[1] = -1.752 y[1] (analytic) = 0.24573019218066870065737741012172 y[1] (numeric) = 0.24573019218066868683099736206387 absolute error = 1.3826380048057854644050734627694e-17 relative error = 5.6266508911091631705383040770339e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.035 Order of pole = 3.533 x[1] = -1.751 y[1] (analytic) = 0.24594189721055159602764485301405 y[1] (numeric) = 0.24594189721055158208018982656672 absolute error = 1.3947455026447338083126922168543e-17 relative error = 5.6710366084989903093332148664219e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.034 Order of pole = 3.533 x[1] = -1.75 y[1] (analytic) = 0.24615384615384615384615384615385 y[1] (numeric) = 0.24615384615384613977686601722473 absolute error = 1.4069287828929118044649651072741e-17 relative error = 5.7156481805024542056389207483011e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.033 Order of pole = 3.534 x[1] = -1.749 y[1] (analytic) = 0.24636603932839632214921848996834 y[1] (numeric) = 0.2463660393283963079573364785435 absolute error = 1.4191882011424848484682321792043e-17 relative error = 5.7604863276255471424174028836224e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.033 Order of pole = 3.534 x[1] = -1.748 y[1] (analytic) = 0.24657847705242061159352820265989 y[1] (numeric) = 0.2465784770524205972782870586698 absolute error = 1.4315241143990093083130352095630e-17 relative error = 5.8055517720416398459007475445234e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.032 Order of pole = 3.534 x[1] = -1.747 y[1] (analytic) = 0.24679115964451214200165893017513 y[1] (numeric) = 0.24679115964451212756229011931795 absolute error = 1.4439368810857181875863965666982e-17 relative error = 5.8508452375912598675637671658304e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.031 Order of pole = 3.535 x[1] = -1.746 y[1] (analytic) = 0.24700408742363868637298210010779 y[1] (numeric) = 0.2470040874236386718087134896297 absolute error = 1.4564268610478090130182602787235e-17 relative error = 5.8963674497818315541486350305766e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.03 Order of pole = 3.535 x[1] = -1.745 y[1] (analytic) = 0.24721726070914271234417587035927 y[1] (numeric) = 0.24721726070914269765423171479193 absolute error = 1.4689944155567338292951682636468e-17 relative error = 5.9421191357873772578446880056580e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.029 Order of pole = 3.536 x[1] = -1.744 y[1] (analytic) = 0.24743067982074142108346925525345 y[1] (numeric) = 0.24743067982074140626707018210854 absolute error = 1.4816399073144911826735799150283e-17 relative error = 5.9881010244481794364578494754639e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.028 Order of pole = 3.536 x[1] = -1.743 y[1] (analytic) = 0.24764434507852678360267545044649 y[1] (numeric) = 0.24764434507852676865903844586729 absolute error = 1.4943637004579199735129207275862e-17 relative error = 6.0343138462704032911238760311089e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.027 Order of pole = 3.537 x[1] = -1.742 y[1] (analytic) = 0.24785825680296557447099612250543 y[1] (numeric) = 0.24785825680296555939933451687548 absolute error = 1.5071661605629950564243872880879e-17 relative error = 6.0807583334256795868278016745771e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=57.2MB, alloc=4.4MB, time=3.92 Complex estimate of poles used Radius of convergence = 2.027 Order of pole = 3.537 x[1] = -1.741 y[1] (analytic) = 0.24807241531489940291450357856863 y[1] (numeric) = 0.24807241531489938771402703207738 absolute error = 1.5200476546491244652956632631362e-17 relative error = 6.1274352197506472986885075624264e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.026 Order of pole = 3.537 x[1] = -1.74 y[1] (analytic) = 0.24828682093554474128513258516238 y[1] (numeric) = 0.2482868209355447259550470733279 absolute error = 1.5330085511834481390039351168559e-17 relative error = 6.1743452407464557246522490766487e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.025 Order of pole = 3.538 x[1] = -1.739 y[1] (analytic) = 0.24850147398649295088293816214771 y[1] (numeric) = 0.24850147398649293542244596129633 absolute error = 1.5460492200851380221698579320328e-17 relative error = 6.2214891335782257029121908713096e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.024 Order of pole = 3.538 x[1] = -1.738 y[1] (analytic) = 0.24871637478971030511529993702501 y[1] (numeric) = 0.24871637478971028952359960972802 absolute error = 1.5591700327296994138333312459451e-17 relative error = 6.2688676370744695700325002740218e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.023 Order of pole = 3.539 x[1] = -1.737 y[1] (analytic) = 0.24893152366753800997667760554759 y[1] (numeric) = 0.24893152366753799425296398601485 absolute error = 1.5723713619532734354480222185779e-17 relative error = 6.3164814917264694934052959677824e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.022 Order of pole = 3.539 x[1] = -1.736 y[1] (analytic) = 0.24914692094269222183244570590299 y[1] (numeric) = 0.24914692094269220597590988533358 absolute error = 1.5856535820569404880954383111167e-17 relative error = 6.3643314396876138093067083675759e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.022 Order of pole = 3.54 x[1] = -1.735 y[1] (analytic) = 0.24936256693826406249025927472897 y[1] (numeric) = 0.24936256693826404650008858661873 absolute error = 1.5990170688110245673109231646798e-17 relative error = 6.4124182247726909954444468480779e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.021 Order of pole = 3.54 x[1] = -1.734 y[1] (analytic) = 0.24957846197771963154232501305295 y[1] (numeric) = 0.24957846197771961541770301845897 absolute error = 1.6124621994593983023931463441432e-17 relative error = 6.4607425924571409045035534732737e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.02 Order of pole = 3.541 x[1] = -1.733 y[1] (analytic) = 0.24979460638490001596187534799511 y[1] (numeric) = 0.24979460638489999970198182075723 absolute error = 1.6259893527237885855353984733072e-17 relative error = 6.5093052898762628827994198188073e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.019 Order of pole = 3.541 x[1] = -1.732 y[1] (analytic) = 0.25001100048402129693706523087016 y[1] (numeric) = 0.25001100048402128054107614278933 absolute error = 1.6395989088080826545712060717004e-17 relative error = 6.5581070658243803957376197545331e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.018 Order of pole = 3.542 x[1] = -1.731 y[1] (analytic) = 0.25022764459967455392543366327516 y[1] (numeric) = 0.25022764459967453739252116924882 absolute error = 1.6532912494026344915683627585402e-17 relative error = 6.6071486707539617793586337620825e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.017 Order of pole = 3.542 x[1] = -1.73 y[1] (analytic) = 0.25044453905682586591199378897543 y[1] (numeric) = 0.25044453905682584924132621208972 absolute error = 1.6670667576885713979343526765050e-17 relative error = 6.6564308567746967348120768020168e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.016 Order of pole = 3.543 x[1] = -1.729 y[1] (analytic) = 0.250661684180816309853936930011 y[1] (numeric) = 0.25066168418081629304467874658999 absolute error = 1.6809258183421006051122348799176e-17 relative error = 6.7059543776525281801595594315734e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.016 Order of pole = 3.543 x[1] = -1.728 y[1] (analytic) = 0.25087908029736195629485717955717 y[1] (numeric) = 0.25087908029736193934616900416901 absolute error = 1.6948688175388157783492805136354e-17 relative error = 6.7557199888086390714477785388623e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.015 Order of pole = 3.544 x[1] = -1.727 y[1] (analytic) = 0.25109672773255386213132409079758 y[1] (numeric) = 0.25109672773255384504236266121755 absolute error = 1.7088961429580032694109239773945e-17 relative error = 6.8057284473183938025238176567690e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.014 Order of pole = 3.544 x[1] = -1.726 y[1] (analytic) = 0.25131462681285806051455161952172 y[1] (numeric) = 0.25131462681285804328446978165224 absolute error = 1.7230081837869479724898206345773e-17 relative error = 6.8559805119102337905829055313512e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.013 Order of pole = 3.545 x[1] = -1.725 y[1] (analytic) = 0.2515327778651155478698317874548 y[1] (numeric) = 0.25153277786511553049777848020242 absolute error = 1.7372053307252386359239123054328e-17 relative error = 6.9064769429645268519450038592862e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.012 Order of pole = 3.545 x[1] = -1.724 y[1] (analytic) = 0.25175118121654226801632153258063 y[1] (numeric) = 0.25175118121654225050144177268991 absolute error = 1.7514879759890724806883027158667e-17 relative error = 6.9572185025123699700505395287004e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=61.0MB, alloc=4.4MB, time=4.19 Complex estimate of poles used Radius of convergence = 2.011 Order of pole = 3.546 x[1] = -1.723 y[1] (analytic) = 0.25196983719472909336969090104162 y[1] (numeric) = 0.25196983719472907571112576788603 absolute error = 1.7658565133155589749633527993755e-17 relative error = 7.0082059542343450551473321921127e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.011 Order of pole = 3.546 x[1] = -1.722 y[1] (analytic) = 0.25218874612764180321006011170953 y[1] (numeric) = 0.2521887461276417854069467320393 absolute error = 1.7803113379670226124056344292122e-17 relative error = 7.0594400634592272926102637120045e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.01 Order of pole = 3.547 x[1] = -1.721 y[1] (analytic) = 0.25240790834362105899757208832964 y[1] (numeric) = 0.2524079083436210410490436209766 absolute error = 1.7948528467353045400591445605379e-17 relative error = 7.1109215971626456742924613448660e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.009 Order of pole = 3.547 x[1] = -1.72 y[1] (analytic) = 0.2526273241713823767178658043654 y[1] (numeric) = 0.25262732417138235862305142490477 absolute error = 1.8094814379460628801413932708868e-17 relative error = 7.1626513239656953047516911234782e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.008 Order of pole = 3.548 x[1] = -1.719 y[1] (analytic) = 0.25284699394001609623963422142469 y[1] (numeric) = 0.25284699394001607799765910679397 absolute error = 1.8241975114630715882225517973310e-17 relative error = 7.2146300141335010716282516789239e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.007 Order of pole = 3.548 x[1] = -1.718 y[1] (analytic) = 0.25306691797898734766636872254857 y[1] (numeric) = 0.25306691797898732927635403562339 absolute error = 1.8390014686925176885856929889397e-17 relative error = 7.2668584395737322668708919024268e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.006 Order of pole = 3.549 x[1] = -1.717 y[1] (analytic) = 0.2532870966181360146643097458036 y[1] (numeric) = 0.25328709661813599612537261993064 absolute error = 1.8538937125872967258121888455260e-17 relative error = 7.3193373738350677429151188469440e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.006 Order of pole = 3.549 x[1] = -1.716 y[1] (analytic) = 0.25350753018767669474854081065624 y[1] (numeric) = 0.25350753018767667605979433414318 absolute error = 1.8688746476513062698784598339670e-17 relative error = 7.3720675921056111853136858548170e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.005 Order of pole = 3.55 x[1] = -1.715 y[1] (analytic) = 0.25372821901819865650908029863811 y[1] (numeric) = 0.25372821901819863766963349920074 absolute error = 1.8839446799437373102784099113070e-17 relative error = 7.4250498712112560807020261026909e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.004 Order of pole = 3.55 x[1] = -1.714 y[1] (analytic) = 0.25394916344066579375874219995144 y[1] (numeric) = 0.25394916344066577476770002911781 absolute error = 1.8991042170833633728999407035647e-17 relative error = 7.4782849896139999563518949027344e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.003 Order of pole = 3.551 x[1] = -1.713 y[1] (analytic) = 0.25417036378641657658445356803086 y[1] (numeric) = 0.25417036378641655744091688550259 absolute error = 1.9143536682528271915838287696322e-17 relative error = 7.5317737274102074649244768125490e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.002 Order of pole = 3.552 x[1] = -1.712 y[1] (analytic) = 0.25439182038716399928363263378975 y[1] (numeric) = 0.2543918203871639799866981917605 absolute error = 1.9296934442029247644788816151522e-17 relative error = 7.5855168663288218853796728117929e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.001 Order of pole = 3.552 x[1] = -1.711 y[1] (analytic) = 0.25461353357499552516714741945365 y[1] (numeric) = 0.25461353357499550571590784688478 absolute error = 1.9451239572568866234785710218404e-17 relative error = 7.6395151897295246083311807382695e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2 Order of pole = 3.553 x[1] = -1.71 y[1] (analytic) = 0.25483550368237302821029025763869 y[1] (numeric) = 0.25483550368237300860383404449213 absolute error = 1.9606456213146561431811858497374e-17 relative error = 7.6937694826008421714572913929546e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2 Order of pole = 3.553 x[1] = -1.709 y[1] (analytic) = 0.25505773104213273153311886378922 y[1] (numeric) = 0.25505773104213271177053034521758 absolute error = 1.9762588518571647139578598965946e-17 relative error = 7.7482805315582004078850160972406e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.999 Order of pole = 3.554 x[1] = -1.708 y[1] (analytic) = 0.2552802159874851426914295283647 y[1] (numeric) = 0.25528021598748512277178886885866 absolute error = 1.9919640659506036018405224207459e-17 relative error = 7.8030491248419252677602122199807e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.998 Order of pole = 3.554 x[1] = -1.707 y[1] (analytic) = 0.25550295885201498575954258838294 y[1] (numeric) = 0.25550295885201496568192576587602 absolute error = 2.0077616822506923160547979302959e-17 relative error = 7.8580760523151898704987548246908e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.997 Order of pole = 3.555 x[1] = -1.706 y[1] (analytic) = 0.25572595996968113018599460520515 y[1] (numeric) = 0.25572595996968110994947339513572 absolute error = 2.0236521210069433031210558099728e-17 relative error = 7.9133621054619073424834889973268e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=64.8MB, alloc=4.4MB, time=4.46 Complex estimate of poles used Radius of convergence = 1.996 Order of pole = 3.555 x[1] = -1.705 y[1] (analytic) = 0.2559492196748165164031456159098 y[1] (numeric) = 0.25594921967481649600678757524058 absolute error = 2.0396358040669227845300869148347e-17 relative error = 7.9689080773845689922286628284321e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.995 Order of pole = 3.556 x[1] = -1.704 y[1] (analytic) = 0.25617273830212807817162343837099 y[1] (numeric) = 0.25617273830212805761449188956591 absolute error = 2.0557131548805075530681706448034e-17 relative error = 8.0247147628020273722777600197850e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.995 Order of pole = 3.557 x[1] = -1.703 y[1] (analytic) = 0.25639651618669666164044029435346 y[1] (numeric) = 0.25639651618669664092159430931208 absolute error = 2.0718845985041375409194990844804e-17 relative error = 8.0807829580472237743320986047823e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.994 Order of pole = 3.557 x[1] = -1.702 y[1] (analytic) = 0.25662055366397694110352996968798 y[1] (numeric) = 0.25662055366397692022202435363734 absolute error = 2.0881505616050639707119510296516e-17 relative error = 8.1371134610648597013262136201503e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.993 Order of pole = 3.558 x[1] = -1.701 y[1] (analytic) = 0.25684485106979733143336635501969 y[1] (numeric) = 0.25684485106979731038825163036376 absolute error = 2.1045114724655928986949642289747e-17 relative error = 8.1937070714090118573718724240544e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.992 Order of pole = 3.558 x[1] = -1.7 y[1] (analytic) = 0.25706940874035989717223650385604 y[1] (numeric) = 0.2570694087403598759625588939828 absolute error = 2.1209677609873239572456446740793e-17 relative error = 8.2505645902406901936855577821687e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.991 Order of pole = 3.559 x[1] = -1.699 y[1] (analytic) = 0.25729422701224025826165330580628 y[1] (numeric) = 0.25729422701224023688645471885244 absolute error = 2.1375198586953841018911826260439e-17 relative error = 8.3076868203253385457943722855649e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.99 Order of pole = 3.559 x[1] = -1.698 y[1] (analytic) = 0.25751930622238749239030450112845 y[1] (numeric) = 0.25751930622238747084862251370189 absolute error = 2.1541681987426561660120212491661e-17 relative error = 8.3650745660302773944825449628468e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.99 Order of pole = 3.56 x[1] = -1.697 y[1] (analytic) = 0.25774464670812403394084605711261 y[1] (numeric) = 0.25774464670812401223171389797259 absolute error = 2.1709132159140020243509498392674e-17 relative error = 8.4227286333220882800950343449381e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.989 Order of pole = 3.561 x[1] = -1.696 y[1] (analytic) = 0.25797024880714556951575888655913 y[1] (numeric) = 0.25797024880714554763820542025433 absolute error = 2.1877553466304801643982739167110e-17 relative error = 8.4806498297639393969560993831213e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.988 Order of pole = 3.561 x[1] = -1.695 y[1] (analytic) = 0.25819611285752093002239851279039 y[1] (numeric) = 0.25819611285752090797544822325482 absolute error = 2.2046950289535574626523527663420e-17 relative error = 8.5388389645128518917891285728618e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.987 Order of pole = 3.562 x[1] = -1.694 y[1] (analytic) = 0.2584222391976919792972775733945 y[1] (numeric) = 0.25842223919769195707995054750135 absolute error = 2.2217327025893149606679948406232e-17 relative error = 8.5972968483169063871394568830899e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.986 Order of pole = 3.562 x[1] = -1.693 y[1] (analytic) = 0.25864862816647349924953100537498 y[1] (numeric) = 0.2586486281664734768608429164485 absolute error = 2.2388688088926474337023659230285e-17 relative error = 8.6560242935123892479043385475432e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.985 Order of pole = 3.563 x[1] = -1.692 y[1] (analytic) = 0.25887528010305307150342336670408 y[1] (numeric) = 0.25887528010305304894238545798952 absolute error = 2.2561037908714565426490968339978e-17 relative error = 8.7150221140208781061636607925639e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.985 Order of pole = 3.563 x[1] = -1.691 y[1] (analytic) = 0.25910219534699095551966702258672 y[1] (numeric) = 0.25910219534699093278528609067834 absolute error = 2.2734380931908373578160791436198e-17 relative error = 8.7742911253462661565813589492969e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.984 Order of pole = 3.564 x[1] = -1.69 y[1] (analytic) = 0.25932937423821996317522885817277 y[1] (numeric) = 0.25932937423821994026650723640018 absolute error = 2.2908721621772580409509108617001e-17 relative error = 8.8338321445717247317108073738018e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.983 Order of pole = 3.565 x[1] = -1.689 y[1] (analytic) = 0.25955681711704532978121177214753 y[1] (numeric) = 0.2595568171170453066971473139202 absolute error = 2.3084064458227324697500010723025e-17 relative error = 8.8936459903566036635876938812825e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.982 Order of pole = 3.565 x[1] = -1.688 y[1] (analytic) = 0.25978452432414458151830545672198 y[1] (numeric) = 0.25978452432414455825789151883212 absolute error = 2.3260413937889855869028642704001e-17 relative error = 8.9537334829332689350310191620791e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=68.6MB, alloc=4.4MB, time=4.73 Complex estimate of poles used Radius of convergence = 1.981 Order of pole = 3.566 x[1] = -1.687 y[1] (analytic) = 0.26001249620056739926920887817869 y[1] (numeric) = 0.26001249620056737583143430406257 absolute error = 2.3437774574116112535220326874988e-17 relative error = 9.0140954441038771210968785331072e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.98 Order of pole = 3.566 x[1] = -1.686 y[1] (analytic) = 0.26024073308773547882733443744802 y[1] (numeric) = 0.26024073308773545521118354040579 absolute error = 2.3616150897042223845911887476378e-17 relative error = 9.0747326972370861181405635169180e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.98 Order of pole = 3.567 x[1] = -1.685 y[1] (analytic) = 0.26046923532744238746101101133692 y[1] (numeric) = 0.26046923532744236366546355771099 absolute error = 2.3795547453625931418294702053756e-17 relative error = 9.1356460672647016549402477492331e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.979 Order of pole = 3.568 x[1] = -1.684 y[1] (analytic) = 0.26069800326185341681230995115562 y[1] (numeric) = 0.26069800326185339283634114346769 absolute error = 2.3975968807687929571183273590703e-17 relative error = 9.1968363806782590773200787102539e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.978 Order of pole = 3.568 x[1] = -1.683 y[1] (analytic) = 0.26092703723350543210952464573284 y[1] (numeric) = 0.26092703723350540795210510577972 absolute error = 2.4157419539953121573687145290500e-17 relative error = 9.2583044655255398946818673767242e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.977 Order of pole = 3.569 x[1] = -1.682 y[1] (analytic) = 0.26115633758530671767224043932764 y[1] (numeric) = 0.26115633758530669333233619123585 absolute error = 2.4339904248091789594206759133636e-17 relative error = 9.3200511514070225738127362360824e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.976 Order of pole = 3.569 x[1] = -1.681 y[1] (analytic) = 0.26138590466053681868783753088601 y[1] (numeric) = 0.26138590466053679416440998412534 absolute error = 2.4523427546760676012644378069516e-17 relative error = 9.3820772694722670622810368487611e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.976 Order of pole = 3.57 x[1] = -1.68 y[1] (analytic) = 0.26161573880284637923817496860611 y[1] (numeric) = 0.26161573880284635453018090096214 absolute error = 2.4707994067643973735518434695294e-17 relative error = 9.4443836524162325206645664779291e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.975 Order of pole = 3.57 x[1] = -1.679 y[1] (analytic) = 0.26184584035625697655510899202182 y[1] (numeric) = 0.2618458403562569516615005325276 absolute error = 2.4893608459494223130292617845129e-17 relative error = 9.5069711344755277397735849547878e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.974 Order of pole = 3.571 x[1] = -1.678 y[1] (analytic) = 0.26207620966516095148340376194674 y[1] (numeric) = 0.26207620966516092640312837377363 absolute error = 2.5080275388173113171678640543359e-17 relative error = 9.5698405514245937159363441863046e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.973 Order of pole = 3.572 x[1] = -1.677 y[1] (analytic) = 0.26230684707432123512949695579789 y[1] (numeric) = 0.2623068470743212098614974191057 absolute error = 2.5267999536692184368942922741685e-17 relative error = 9.6329927405718178543067803712885e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.972 Order of pole = 3.572 x[1] = -1.676 y[1] (analytic) = 0.26253775292887117167448679120057 y[1] (numeric) = 0.26253775292887114621770118594714 absolute error = 2.5456785605253431019341341254941e-17 relative error = 9.6964285407555792670326704647882e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.971 Order of pole = 3.573 x[1] = -1.675 y[1] (analytic) = 0.26276892757431433732961077352603 y[1] (numeric) = 0.26276892757431431168297246223623 absolute error = 2.5646638311289800308721715061290e-17 relative error = 9.7601487923402246299879076880123e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.971 Order of pole = 3.573 x[1] = -1.674 y[1] (analytic) = 0.26300037135652435541238984229446 y[1] (numeric) = 0.26300037135652432957482745278887 absolute error = 2.5837562389505585756069771030482e-17 relative error = 9.8241543372119740586245944714696e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.97 Order of pole = 3.574 x[1] = -1.673 y[1] (analytic) = 0.26323208462174470752151461635635 y[1] (numeric) = 0.26323208462174468149195202443963 absolute error = 2.6029562591916712474329934262925e-17 relative error = 9.8884460187747564603393742839521e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.969 Order of pole = 3.575 x[1] = -1.672 y[1] (analytic) = 0.26346406771658854078845310761137 y[1] (numeric) = 0.26346406771658851456580941972046 absolute error = 2.6222643687890911695206366346891e-17 relative error = 9.9530246819459738175738160804400e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.968 Order of pole = 3.575 x[1] = -1.671 y[1] (analytic) = 0.26369632098803847118366158690864 y[1] (numeric) = 0.26369632098803844476685112272086 absolute error = 2.6416810464187781980841188490341e-17 relative error = 1.0017891173152193852680716948180e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.967 Order of pole = 3.576 x[1] = -1.67 y[1] (analytic) = 0.26392884478344638285518224286732 y[1] (numeric) = 0.26392884478344635624311451786859 absolute error = 2.6612067724998734520274725937608e-17 relative error = 1.0083046340324770522386890910500e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=72.4MB, alloc=4.4MB, time=5.00 Complex estimate of poles used Radius of convergence = 1.966 Order of pole = 3.576 x[1] = -1.669 y[1] (analytic) = 0.26416163945053322347731287383825 y[1] (numeric) = 0.26416163945053319666889258185143 absolute error = 2.6808420291986819883415843406909e-17 relative error = 1.0148491032895391786468356358330e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.966 Order of pole = 3.577 x[1] = -1.668 y[1] (analytic) = 0.26439470533738879558693509427258 y[1] (numeric) = 0.26439470533738876858106208994614 absolute error = 2.7005873004326433579887953364787e-17 relative error = 1.0214226101791554092025813452718e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.965 Order of pole = 3.577 x[1] = -1.667 y[1] (analytic) = 0.26462804279247154388498841855371 y[1] (numeric) = 0.26462804279247151668055769981081 absolute error = 2.7204430718742897744567011513337e-17 relative error = 1.0280252399431963011506908957062e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.964 Order of pole = 3.578 x[1] = -1.666 y[1] (analytic) = 0.26486165216460833848047810706556 y[1] (numeric) = 0.26486165216460831107637979751364 absolute error = 2.7404098309551916245890705502441e-17 relative error = 1.0346570779721859469367012850397e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.963 Order of pole = 3.579 x[1] = -1.665 y[1] (analytic) = 0.26509553380299425405430482009954 y[1] (numeric) = 0.26509553380299422644942415140064 absolute error = 2.7604880668698900487092029090177e-17 relative error = 1.0413182098048270988992072943469e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.962 Order of pole = 3.579 x[1] = -1.664 y[1] (analytic) = 0.26532968805719234492010392433222 y[1] (numeric) = 0.26532968805719231711332121853406 absolute error = 2.7806782705798163144394447189669e-17 relative error = 1.0480087211275187388225565443536e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.961 Order of pole = 3.58 x[1] = -1.663 y[1] (analytic) = 0.26556411527713341595918173322544 y[1] (numeric) = 0.26556411527713338794937238505347 absolute error = 2.8009809348171977059898826851327e-17 relative error = 1.0547286977738660348546616552772e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.961 Order of pole = 3.58 x[1] = -1.662 y[1] (analytic) = 0.26579881581311578940653503600511 y[1] (numeric) = 0.26579881581311576119256949511561 absolute error = 2.8213965540889496480393161621474e-17 relative error = 1.0614782257241826279638028995142e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.96 Order of pole = 3.581 x[1] = -1.661 y[1] (analytic) = 0.26603379001580506746483897905809 y[1] (numeric) = 0.26603379001580503904558273225255 absolute error = 2.8419256246805537806623775303462e-17 relative error = 1.0682573911049851897761204808746e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.959 Order of pole = 3.581 x[1] = -1.66 y[1] (analytic) = 0.26626903823623389072318670784961 y[1] (numeric) = 0.26626903823623386209750026125039 absolute error = 2.8625686446599216990680076397073e-17 relative error = 1.0750662801884801933019809491685e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.958 Order of pole = 3.582 x[1] = -1.659 y[1] (analytic) = 0.26650456082580169235726215600591 y[1] (numeric) = 0.26650456082580166352400101719347 absolute error = 2.8833261138812440692062963971035e-17 relative error = 1.0819049793920428377245471051220e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.957 Order of pole = 3.583 x[1] = -1.658 y[1] (analytic) = 0.26674035813627444808752498023454 y[1] (numeric) = 0.26674035813627441904553964034629 absolute error = 2.9041985339888248275728574124948e-17 relative error = 1.0887735752776880680876849816576e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.956 Order of pole = 3.583 x[1] = -1.657 y[1] (analytic) = 0.26697643051978442187188388447503 y[1] (numeric) = 0.26697643051978439262001980026603 absolute error = 2.9251864084209001707923115377501e-17 relative error = 1.0956721545515336303828050919062e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.956 Order of pole = 3.584 x[1] = -1.656 y[1] (analytic) = 0.26721277832882990730923145329548 y[1] (numeric) = 0.26721277832882987784632902916106 absolute error = 2.9462902424134420377949980334357e-17 relative error = 1.1026008040632551021953581760456e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.955 Order of pole = 3.584 x[1] = -1.655 y[1] (analytic) = 0.26744940191627496473011012229124 y[1] (numeric) = 0.26744940191627493505500469225178 absolute error = 2.9675105430039457846136046135390e-17 relative error = 1.1095596108055328387314882990138e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.954 Order of pole = 3.585 x[1] = -1.654 y[1] (analytic) = 0.26768630163534915395067505131546 y[1] (numeric) = 0.26768630163534912406219686096345 absolute error = 2.9888478190352017490188991026215e-17 relative error = 1.1165486619134907737037885680049e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.953 Order of pole = 3.585 x[1] = -1.653 y[1] (analytic) = 0.26792347783964726266601543399986 y[1] (numeric) = 0.26792347783964723256298962240936 absolute error = 3.0103025811590503993860459825950e-17 relative error = 1.1235680446641270142122072499851e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.952 Order of pole = 3.586 x[1] = -1.652 y[1] (analytic) = 0.26816093088312903045879117342933 y[1] (numeric) = 0.26816093088312900014003775502812 absolute error = 3.0318753418401207593349905308643e-17 relative error = 1.1306178464757361684119150528608e-14 % h = 0.001 memory used=76.2MB, alloc=4.4MB, time=5.27 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.951 Order of pole = 3.586 x[1] = -1.651 y[1] (analytic) = 0.26839866112011886839903687824444 y[1] (numeric) = 0.26839866112011883786337072464892 absolute error = 3.0535666153595517968199811210110e-17 relative error = 1.1376981549073233444143682480644e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.951 Order of pole = 3.587 x[1] = -1.65 y[1] (analytic) = 0.26863666890530557421087978509066 y[1] (numeric) = 0.2686366689053055434571106069037 absolute error = 3.0753769178186964634543658781150e-17 relative error = 1.1448090576580097585208876981283e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.95 Order of pole = 3.587 x[1] = -1.649 y[1] (analytic) = 0.26887495459374204298181249144642 y[1] (numeric) = 0.26887495459374201200874482001833 absolute error = 3.0973067671428080669472323075743e-17 relative error = 1.1519506425664298905398213345563e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.949 Order of pole = 3.588 x[1] = -1.648 y[1] (analytic) = 0.26911351854084497339005528668125 y[1] (numeric) = 0.26911351854084494219648845583416 absolute error = 3.1193566830847086565981465553149e-17 relative error = 1.1591229976101201235887679177481e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.948 Order of pole = 3.589 x[1] = -1.647 y[1] (analytic) = 0.26935236110239456942543639796165 y[1] (numeric) = 0.26935236110239453801016452567726 absolute error = 3.1415271872284390988450811714874e-17 relative error = 1.1663262109048988054324137962995e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.947 Order of pole = 3.589 x[1] = -1.646 y[1] (analytic) = 0.2695914826345342375791116205791 y[1] (numeric) = 0.2695914826345342059409235906502 absolute error = 3.1638188029928905168884849629978e-17 relative error = 1.1735603707042376680542727489007e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.946 Order of pole = 3.59 x[1] = -1.645 y[1] (analytic) = 0.26983088349377027947733757867257 y[1] (numeric) = 0.2698308834937702476150170223184 absolute error = 3.1862320556354167654212338219229e-17 relative error = 1.1808255653986245418070228074892e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.946 Order of pole = 3.59 x[1] = -1.644 y[1] (analytic) = 0.2700705640369715799344052614067 y[1] (numeric) = 0.27007056403697154784673053885242 absolute error = 3.2087674722554276084797951666815e-17 relative error = 1.1881218835149173001312042836298e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.945 Order of pole = 3.591 x[1] = -1.643 y[1] (analytic) = 0.27031052462136929039973250070483 y[1] (numeric) = 0.27031052462136925808547668272521 absolute error = 3.2314255817979622653962284654006e-17 relative error = 1.1954494137156889704757812000098e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.944 Order of pole = 3.591 x[1] = -1.642 y[1] (analytic) = 0.27055076560455650777400569888133 y[1] (numeric) = 0.2705507656045564752319365483089 absolute error = 3.2542069150572429867735176407473e-17 relative error = 1.2028082447985639466964752057095e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.943 Order of pole = 3.592 x[1] = -1.641 y[1] (analytic) = 0.27079128734448794856915237723609 y[1] (numeric) = 0.27079128734448791579803233043401 absolute error = 3.2771120046802083193280751819416e-17 relative error = 1.2101984656955452378488581605964e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.942 Order of pole = 3.592 x[1] = -1.64 y[1] (analytic) = 0.2710320901994796183868169991327 y[1] (numeric) = 0.27103209019947958538540314743244 absolute error = 3.3001413851700257153429595019348e-17 relative error = 1.2176201654723326879329383378339e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.942 Order of pole = 3.593 x[1] = -1.639 y[1] (analytic) = 0.27127317452820847668990302255284 y[1] (numeric) = 0.27127317452820844345694709365701 absolute error = 3.3232955928895831393532932601384e-17 relative error = 1.2250734333276321007843971364007e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.941 Order of pole = 3.593 x[1] = -1.638 y[1] (analytic) = 0.27151454068971209684163425688099 y[1] (numeric) = 0.2715145406897120633758825962314 absolute error = 3.3465751660649593215414476081869e-17 relative error = 1.2325583585924552039447299364647e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.94 Order of pole = 3.594 x[1] = -1.637 y[1] (analytic) = 0.27175618904338832138647833600424 y[1] (numeric) = 0.27175618904338828768667188811552 absolute error = 3.3699806447888723041536519983073e-17 relative error = 1.2400750307294103849783179860159e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.939 Order of pole = 3.594 x[1] = -1.636 y[1] (analytic) = 0.27199811994899491254716447399916 y[1] (numeric) = 0.2719981199489948786120387637581 absolute error = 3.3935125710241059240616875223268e-17 relative error = 1.2476235393319841333389097929084e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.938 Order of pole = 3.595 x[1] = -1.635 y[1] (analytic) = 0.2722403337666491979119166400098 y[1] (numeric) = 0.27224033376664916374020175394066 absolute error = 3.4171714886069138713831097423073e-17 relative error = 1.2552039741238131205211223283187e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.937 Order of pole = 3.595 memory used=80.1MB, alloc=4.4MB, time=5.54 x[1] = -1.634 y[1] (analytic) = 0.27248283085682771128591187469278 y[1] (numeric) = 0.27248283085682767687633244218877 absolute error = 3.4409579432504009608409104717321e-17 relative error = 1.2628164249579468508643864431196e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.937 Order of pole = 3.596 x[1] = -1.633 y[1] (analytic) = 0.27272561158036582868086167111528 y[1] (numeric) = 0.27272561158036579403213684563646 absolute error = 3.4648724825478812492885526377294e-17 relative error = 1.2704609818161008150072593782683e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.936 Order of pole = 3.596 x[1] = -1.632 y[1] (analytic) = 0.27296867629845739941650215754442 y[1] (numeric) = 0.27296867629845736452734559778229 absolute error = 3.4889156559762126295487837027080e-17 relative error = 1.2781377348079000776192123387310e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.935 Order of pole = 3.597 x[1] = -1.631 y[1] (analytic) = 0.27321202537265437230766624746835 y[1] (numeric) = 0.27321202537265433717678609847727 absolute error = 3.5130880148991075274144364907239e-17 relative error = 1.2858467741701132306648751280324e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.934 Order of pole = 3.597 x[1] = -1.63 y[1] (analytic) = 0.27345565916486641691049796275534 y[1] (numeric) = 0.27345565916486638153659683705115 absolute error = 3.5373901125704193253364468387947e-17 relative error = 1.2935881902658766430822852444788e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.933 Order of pole = 3.597 x[1] = -1.629 y[1] (analytic) = 0.27369957803736053980125578840395 y[1] (numeric) = 0.27369957803736050418303074702991 absolute error = 3.5618225041374041329784403174789e-17 relative error = 1.3013620735839089373819481659994e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.932 Order of pole = 3.598 x[1] = -1.628 y[1] (analytic) = 0.27394378235276069586103818118861 y[1] (numeric) = 0.27394378235276065999718071474903 absolute error = 3.5863857466439575214483502382913e-17 relative error = 1.3091685147377156232974714536255e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.932 Order of pole = 3.598 x[1] = -1.627 y[1] (analytic) = 0.27418827247404739453965022898834 y[1] (numeric) = 0.27418827247404735842884623865008 absolute error = 3.6110803990338258346255110530430e-17 relative error = 1.3170076044647838182411905501374e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.931 Order of pole = 3.599 x[1] = -1.626 y[1] (analytic) = 0.27443304876455730107171594203535 y[1] (numeric) = 0.27443304876455726471264572049743 absolute error = 3.6359070221537916875864096887654e-17 relative error = 1.3248794336257669839395616191060e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.93 Order of pole = 3.599 x[1] = -1.625 y[1] (analytic) = 0.27467811158798283261802575107296 y[1] (numeric) = 0.27467811158798279600936396350463 absolute error = 3.6608661787568332586936568666935e-17 relative error = 1.3327840932036596082431594530306e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.929 Order of pole = 3.6 x[1] = -1.624 y[1] (analytic) = 0.27492346130837174930499348981244 y[1] (numeric) = 0.27492346130837171244540915475987 absolute error = 3.6859584335052569784506454252093e-17 relative error = 1.3407216743029617607248894854166e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.928 Order of pole = 3.6 x[1] = -1.623 y[1] (analytic) = 0.27516909829012674013498144947524 y[1] (numeric) = 0.27516909829012670302313791973721 absolute error = 3.7111843529738032147386773971294e-17 relative error = 1.3486922681488334502975054950552e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.927 Order of pole = 3.601 x[1] = -1.622 y[1] (analytic) = 0.27541502289800500374013601095491 y[1] (numeric) = 0.27541502289800496637469095442766 absolute error = 3.7365445056527245505439502728615e-17 relative error = 1.3566959660862387126977220342528e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.927 Order of pole = 3.601 x[1] = -1.621 y[1] (analytic) = 0.27566123549711782395225988459167 y[1] (numeric) = 0.2756612354971177863318652650833 absolute error = 3.7620394619508362467485796106138e-17 relative error = 1.3647328595790793552991264087226e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.926 Order of pole = 3.601 x[1] = -1.62 y[1] (analytic) = 0.27590773645293014016113011808851 y[1] (numeric) = 0.27590773645293010228443217610313 absolute error = 3.7876697941985384790026839444768e-17 relative error = 1.3728030402093182863297327688362e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.925 Order of pole = 3.602 x[1] = -1.619 y[1] (analytic) = 0.27615452613126011243355376908124 y[1] (numeric) = 0.27615452613126007429919300257314 absolute error = 3.8134360766508099341133527232281e-17 relative error = 1.3809065996760923551823842460598e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.924 Order of pole = 3.602 x[1] = -1.618 y[1] (analytic) = 0.27640160489827868136533547968393 y[1] (numeric) = 0.27640160489827864297194662478221 absolute error = 3.8393388854901723477809426480819e-17 relative error = 1.3890436297948146301173019149119e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.923 Order of pole = 3.603 x[1] = -1.617 y[1] (analytic) = 0.27664897312050912263821313534857 y[1] (numeric) = 0.27664897312050908398442514705232 absolute error = 3.8653787988296255618834860634293e-17 relative error = 1.3972142224962660392659056355131e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.922 Order of pole = 3.603 memory used=83.9MB, alloc=4.4MB, time=5.81 x[1] = -1.616 y[1] (analytic) = 0.27689663116482659625369933899236 y[1] (numeric) = 0.27689663116482655733813537183684 absolute error = 3.8915563967155526758559307319867e-17 relative error = 1.4054184698256763004535956177618e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.922 Order of pole = 3.603 x[1] = -1.615 y[1] (analytic) = 0.27714457939845769041564758295284 y[1] (numeric) = 0.27714457939845765123692497164689 absolute error = 3.9178722611305948630323470876529e-17 relative error = 1.4136564639417940649664890570346e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.921 Order of pole = 3.604 x[1] = -1.614 y[1] (analytic) = 0.27739281818897996003324275533177 y[1] (numeric) = 0.27739281818897992058997299536681 absolute error = 3.9443269759964954191160205587195e-17 relative error = 1.4219282971159461999931577650102e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.92 Order of pole = 3.604 x[1] = -1.613 y[1] (analytic) = 0.27764134790432145981599597308989 y[1] (numeric) = 0.27764134790432142010678470132076 absolute error = 3.9709211271769126062143764119298e-17 relative error = 1.4302340617310861340772148314820e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.919 Order of pole = 3.604 x[1] = -1.612 y[1] (analytic) = 0.27789016891276027193220369127069 y[1] (numeric) = 0.27789016891276023195565066646868 absolute error = 3.9976553024802008521228463817873e-17 relative error = 1.4385738502808311895201556110102e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.918 Order of pole = 3.605 x[1] = -1.611 y[1] (analytic) = 0.27813928158292402820221059538216 y[1] (numeric) = 0.27813928158292398795690967876057 absolute error = 4.0245300916621598607639637019291e-17 relative error = 1.4469477553684888252761754740783e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.917 Order of pole = 3.605 x[1] = -1.61 y[1] (analytic) = 0.27838868628378942679769494167757 y[1] (numeric) = 0.27838868628378938628223407739006 absolute error = 4.0515460864287511858850496222891e-17 relative error = 1.4553558697060717134817686748225e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.917 Order of pole = 3.605 x[1] = -1.609 y[1] (analytic) = 0.27863838338468174341807376728289 y[1] (numeric) = 0.27863838338468170263103496289508 absolute error = 4.0787038804387818162897136554533e-17 relative error = 1.4637982861133015723627643833497e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.916 Order of pole = 3.606 x[1] = -1.608 y[1] (analytic) = 0.27888837325527433691500374825974 y[1] (numeric) = 0.27888837325527429585496305519419 absolute error = 4.1060040693065543170249152374568e-17 relative error = 1.4722750975166016778600825670000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.915 Order of pole = 3.606 x[1] = -1.607 y[1] (analytic) = 0.27913865626558814933583143821447 y[1] (numeric) = 0.27913865626558810800135893216964 absolute error = 4.1334472506044830670664098219025e-17 relative error = 1.4807863969480779759128992800065e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.914 Order of pole = 3.606 x[1] = -1.606 y[1] (analytic) = 0.27938923278599120035672417242115 y[1] (numeric) = 0.27938923278599115874638393376439 absolute error = 4.1610340238656761301409112906347e-17 relative error = 1.4893322775444887169341034764246e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.913 Order of pole = 3.607 x[1] = -1.605 y[1] (analytic) = 0.27964010318719807607609007207724 y[1] (numeric) = 0.27964010318719803418844016621241 absolute error = 4.1887649905864822913931286369189e-17 relative error = 1.4979128325462025336079112833838e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.912 Order of pole = 3.607 x[1] = -1.604 y[1] (analytic) = 0.27989126784026941213877232972535 y[1] (numeric) = 0.27989126784026936997236478743532 absolute error = 4.2166407542290027886498618839103e-17 relative error = 1.5065281552961448827332844936625e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.912 Order of pole = 3.607 x[1] = -1.603 y[1] (analytic) = 0.28014272711661137116137929952552 y[1] (numeric) = 0.28014272711661132871476009728985 absolute error = 4.2446619202235672630514539256809e-17 relative error = 1.5151783392387327714293837396196e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.911 Order of pole = 3.608 x[1] = -1.602 y[1] (analytic) = 0.28039448138797511442898785443264 y[1] (numeric) = 0.28039448138797507170069689472091 absolute error = 4.2728290959711734498129752712503e-17 relative error = 1.5238634779187976876106794259288e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.91 Order of pole = 3.608 x[1] = -1.601 y[1] (analytic) = 0.28064653102645626783333300591238 y[1] (numeric) = 0.28064653102645622482190409745348 absolute error = 4.3011428908458901258434514624357e-17 relative error = 1.5325836649804966542295512094403e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.909 Order of pole = 3.608 x[1] = -1.6 y[1] (analytic) = 0.28089887640449438202247191011236 y[1] (numeric) = 0.28089887640449433872643274814013 absolute error = 4.3296039161972228268911122399140e-17 relative error = 1.5413389941662113263732359574094e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.908 Order of pole = 3.609 x[1] = -1.599 y[1] (analytic) = 0.28115151789487238673178510689802 y[1] (numeric) = 0.28115151789487234314965725337361 absolute error = 4.3582127853524418427959314624510e-17 relative error = 1.5501295593154350498898411821577e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=87.7MB, alloc=4.4MB, time=6.08 Complex estimate of poles used Radius of convergence = 1.907 Order of pole = 3.609 x[1] = -1.598 y[1] (analytic) = 0.28140445587071603926605215437623 y[1] (numeric) = 0.28140445587071599539635101818751 absolute error = 4.3869701136188719953175215637216e-17 relative error = 1.5589554543636477998048325898927e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.906 Order of pole = 3.609 x[1] = -1.597 y[1] (analytic) = 0.28165769070549336710221273098395 y[1] (numeric) = 0.28165769070549332294344754812251 absolute error = 4.4158765182861436988666303001329e-17 relative error = 1.5678167733411789163749374017265e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.906 Order of pole = 3.609 x[1] = -1.596 y[1] (analytic) = 0.28191122277301410458229777944168 y[1] (numeric) = 0.28191122277301406013297159315763 absolute error = 4.4449326186284048003019451716188e-17 relative error = 1.5767136103720575562107864743889e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.905 Order of pole = 3.61 x[1] = -1.595 y[1] (analytic) = 0.282165052447429123665888361397 y[1] (numeric) = 0.28216505244742907892449800233207 absolute error = 4.4741390359064926897605267957891e-17 relative error = 1.5856460596728507754828550977446e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.904 Order of pole = 3.61 x[1] = -1.594 y[1] (analytic) = 0.28241918010322985871133257795617 y[1] (numeric) = 0.2824191801032298136763686442555 absolute error = 4.5034963933700661702698514457717e-17 relative error = 1.5946142155514891618073619713841e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.903 Order of pole = 3.61 x[1] = -1.593 y[1] (analytic) = 0.28267360611524772525482318907274 y[1] (numeric) = 0.28267360611524767992477002647578 absolute error = 4.5330053162596965696420298477331e-17 relative error = 1.6036181724060799309897557248803e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.902 Order of pole = 3.61 x[1] = -1.592 y[1] (analytic) = 0.28292833085865353275631043349147 y[1] (numeric) = 0.2829283308586534871296461154023 absolute error = 4.5626664318089175738761692735262e-17 relative error = 1.6126580247237074043832660755184e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.901 Order of pole = 3.611 x[1] = -1.591 y[1] (analytic) = 0.2831833547089568912810960102014 y[1] (numeric) = 0.28318335470895684535629231773906 absolute error = 4.5924803692462332569929442407469e-17 relative error = 1.6217338670792207821987301131409e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.901 Order of pole = 3.611 x[1] = -1.59 y[1] (analytic) = 0.28343867804200561208582523171112 y[1] (numeric) = 0.28343867804200556586134763374028 absolute error = 4.6224477597970837778961232274226e-17 relative error = 1.6308457941340091276795312358670e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.9 Order of pole = 3.611 x[1] = -1.589 y[1] (analytic) = 0.28369430123398510207746499850635 y[1] (numeric) = 0.28369430123398505555177263164867 absolute error = 4.6525692366857682104989504114449e-17 relative error = 1.6399939006347634766320170783261e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.899 Order of pole = 3.611 x[1] = -1.588 y[1] (analytic) = 0.28395022466141775211372547237959 y[1] (numeric) = 0.28395022466141770528527112100635 absolute error = 4.6828454351373239689687884666515e-17 relative error = 1.6491782814122259863772016969699e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.898 Order of pole = 3.611 x[1] = -1.587 y[1] (analytic) = 0.28420644870116231911325314353648 y[1] (numeric) = 0.28420644870116227198048321974285 absolute error = 4.7132769923793622855311770325371e-17 relative error = 1.6583990313799260377639148040197e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.897 Order of pole = 3.612 x[1] = -1.586 y[1] (analytic) = 0.28446297373041330194379239209466 y[1] (numeric) = 0.28446297373041325450514691565607 absolute error = 4.7438645476438591938343380131189e-17 relative error = 1.6676562455329032034568456513966e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.896 Order of pole = 3.612 x[1] = -1.585 y[1] (analytic) = 0.28471980012670031105638163842009 y[1] (numeric) = 0.28471980012670026331029421673108 absolute error = 4.7746087421689014664070500011295e-17 relative error = 1.6769500189464169952851501190217e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.896 Order of pole = 3.612 x[1] = -1.584 y[1] (analytic) = 0.28497692826788743183351875832133 y[1] (numeric) = 0.28497692826788738377841656631746 absolute error = 4.8055102192003869502466067863204e-17 relative error = 1.6862804467746433030084557023178e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.895 Order of pole = 3.612 x[1] = -1.583 y[1] (analytic) = 0.28523435853217258161909860808485 y[1] (numeric) = 0.28523435853217253325340236814807 absolute error = 4.8365696239936787400491562952912e-17 relative error = 1.6956476242493574364272196514942e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.894 Order of pole = 3.612 x[1] = -1.582 y[1] (analytic) = 0.2854920912980868603977932603311 y[1] (numeric) = 0.28549209129808681171991722217898 absolute error = 4.8677876038152126240419739263675e-17 relative error = 1.7050516466786036823334799079262e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.893 Order of pole = 3.612 x[1] = -1.581 y[1] (analytic) = 0.28575012694449389509141289436018 y[1] (numeric) = 0.28575012694449384609976481491961 absolute error = 4.8991648079440572327960458987994e-17 relative error = 1.7144926094453512873660963181648e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=91.5MB, alloc=4.4MB, time=6.35 Complex estimate of poles used Radius of convergence = 1.892 Order of pole = 3.613 x[1] = -1.58 y[1] (analytic) = 0.28600846585058917743965221370553 y[1] (numeric) = 0.28600846585058912813263333697126 absolute error = 4.9307018876734263167876120673995e-17 relative error = 1.7239706080061367774016206832456e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.891 Order of pole = 3.613 x[1] = -1.579 y[1] (analytic) = 0.28626710839589939543249377870007 y[1] (numeric) = 0.28626710839589934580849881557864 absolute error = 4.9623994963121425738389321361600e-17 relative error = 1.7334857378896925236779685134252e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.891 Order of pole = 3.613 x[1] = -1.578 y[1] (analytic) = 0.2865260549602817582614057426698 y[1] (numeric) = 0.28652605496028170831882285080928 absolute error = 4.9942582891860524429013831638118e-17 relative error = 1.7430380946955614654131030957889e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.89 Order of pole = 3.613 x[1] = -1.577 y[1] (analytic) = 0.28678530592392331475633716660133 y[1] (numeric) = 0.28678530592392326449354793020741 absolute error = 5.0262789236393912759479588832367e-17 relative error = 1.7526277740926978982449940320766e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.889 Order of pole = 3.613 x[1] = -1.576 y[1] (analytic) = 0.28704486166734026527537935848918 y[1] (numeric) = 0.2870448616673402146907587681282 absolute error = 5.0584620590360982950172122280632e-17 relative error = 1.7622548718180542373821883547033e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.888 Order of pole = 3.613 x[1] = -1.575 y[1] (analytic) = 0.28730472257137726701382653977375 y[1] (numeric) = 0.28730472257137721610574297216294 absolute error = 5.0908083567610807366965515415726e-17 relative error = 1.7719194836751536639164434709386e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.887 Order of pole = 3.613 x[1] = -1.574 y[1] (analytic) = 0.28756488901720673269923358205779 y[1] (numeric) = 0.28756488901720668146604877984353 absolute error = 5.1233184802214265815494586128119e-17 relative error = 1.7816217055326485623100285139047e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.886 Order of pole = 3.613 x[1] = -1.573 y[1] (analytic) = 0.28782536138632812263893258237778 y[1] (numeric) = 0.28782536138632807107900163390212 absolute error = 5.1559930948475652611785337448014e-17 relative error = 1.7913616333228646566305153967042e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.885 Order of pole = 3.613 x[1] = -1.572 y[1] (analytic) = 0.28808614006056723008633365445335 y[1] (numeric) = 0.28808614006056717819800497350959 absolute error = 5.1888328680943757307741807519676e-17 relative error = 1.8011393630403307526651643839338e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.885 Order of pole = 3.613 x[1] = -1.571 y[1] (analytic) = 0.2883472254220754598921985063037 y[1] (numeric) = 0.28834722542207540767381381188129 absolute error = 5.2218384694422412901271148056129e-17 relative error = 1.8109549907402939926053729357573e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.884 Order of pole = 3.613 x[1] = -1.57 y[1] (analytic) = 0.28860861785332910040693815117319 y[1] (numeric) = 0.28860861785332904785683244719269 absolute error = 5.2550105703980505311816005652712e-17 relative error = 1.8208086125372205285491127798608e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.883 Order of pole = 3.614 x[1] = -1.569 y[1] (analytic) = 0.28887031773712858859984845863132 y[1] (numeric) = 0.28887031773712853571635001366988 absolute error = 5.2883498444961437852752997046126e-17 relative error = 1.8307003246032815206258406780739e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.882 Order of pole = 3.614 x[1] = -1.568 y[1] (analytic) = 0.28913232545659776836105919579578 y[1] (numeric) = 0.28913232545659771514248952280374 absolute error = 5.3218569672992044382507189201029e-17 relative error = 1.8406302231668243651040454474322e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.881 Order of pole = 3.614 x[1] = -1.567 y[1] (analytic) = 0.28939464139518314195183373467547 y[1] (numeric) = 0.28939464139518308839650757068452 absolute error = 5.3555326163990944766323954745688e-17 relative error = 1.8505984045108290573963999606022e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.88 Order of pole = 3.614 x[1] = -1.566 y[1] (analytic) = 0.28965726593665311456871771045628 y[1] (numeric) = 0.28965726593665306067494299627994 absolute error = 5.3893774714176336230430314870391e-17 relative error = 1.8606049649713495944314348012468e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.879 Order of pole = 3.614 x[1] = -1.565 y[1] (analytic) = 0.28992019946509723198689560698418 y[1] (numeric) = 0.28992019946509717775297346691096 absolute error = 5.4233922140073214139806852974242e-17 relative error = 1.8706500009359403204137529245008e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.879 Order of pole = 3.614 x[1] = -1.564 y[1] (analytic) = 0.29018344236492541124797451957229 y[1] (numeric) = 0.29018344236492535667219924105228 absolute error = 5.4575775278520015679977436412159e-17 relative error = 1.8807336088420671195470752371020e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.878 Order of pole = 3.614 x[1] = -1.563 y[1] (analytic) = 0.29044699502086716435727420142325 y[1] (numeric) = 0.29044699502086710943793321474857 absolute error = 5.4919340986674679872106279827194e-17 relative error = 1.8908558851755033588458588615036e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=95.3MB, alloc=4.4MB, time=6.62 Complex estimate of poles used Radius of convergence = 1.877 Order of pole = 3.614 x[1] = -1.562 y[1] (analytic) = 0.29071085781797081495556193827394 y[1] (numeric) = 0.29071085781797075969093579625383 absolute error = 5.5264626142020117299269286958739e-17 relative error = 1.9010169264687104837118766112930e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.876 Order of pole = 3.614 x[1] = -1.561 y[1] (analytic) = 0.29097503114160270793002981621144 y[1] (numeric) = 0.29097503114160265231839217384236 absolute error = 5.5611637642369082870038089907411e-17 relative error = 1.9112168292992031685020017438469e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.875 Order of pole = 3.614 x[1] = -1.56 y[1] (analytic) = 0.29123951537744641192917054986021 y[1] (numeric) = 0.29123951537744635596878814399176 absolute error = 5.5960382405868444893479743410994e-17 relative error = 1.9214556902878989238625204697599e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.874 Order of pole = 3.614 x[1] = -1.559 y[1] (analytic) = 0.29150431091150191474606622220033 y[1] (numeric) = 0.29150431091150185843519885119748 absolute error = 5.6310867371002843687331611107733e-17 relative error = 1.9317336060974520621536103260447e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.874 Order of pole = 3.614 x[1] = -1.558 y[1] (analytic) = 0.29176941813008481153446205305302 y[1] (numeric) = 0.29176941813008475487136255645528 absolute error = 5.6663099496597732888458592147611e-17 relative error = 1.9420506734305719218351899421741e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.873 Order of pole = 3.614 x[1] = -1.557 y[1] (analytic) = 0.29203483741982548582185466068618 y[1] (numeric) = 0.29203483741982542880476889886439 absolute error = 5.7017085761821796581737477907714e-17 relative error = 1.9524069890283252512321797698801e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.872 Order of pole = 3.613 x[1] = -1.556 y[1] (analytic) = 0.29230056916766828328368120998405 y[1] (numeric) = 0.29230056916766822591084804379532 absolute error = 5.7372833166188735310239905145196e-17 relative error = 1.9628026496684226516433290812881e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.871 Order of pole = 3.613 x[1] = -1.555 y[1] (analytic) = 0.29256661376087067824255235113845 y[1] (numeric) = 0.29256661376087062051220362158004 absolute error = 5.7730348729558413976000096163924e-17 relative error = 1.9732377521634889793031772869070e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.87 Order of pole = 3.613 x[1] = -1.554 y[1] (analytic) = 0.29283297158700243285632794481621 y[1] (numeric) = 0.29283297158700237476668845267885 absolute error = 5.8089639492137364586755368466821e-17 relative error = 1.9837123933593176052514429586324e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.869 Order of pole = 3.613 x[1] = -1.553 y[1] (analytic) = 0.29309964303394474895869024321115 y[1] (numeric) = 0.29309964303394469050797772873252 absolute error = 5.8450712514478636749835283603521e-17 relative error = 1.9942266701331084317081876911605e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.868 Order of pole = 3.613 x[1] = -1.552 y[1] (analytic) = 0.29336662848988941251572445128706 y[1] (numeric) = 0.29336662848988935370214957380607 absolute error = 5.8813574877480988759848323088442e-17 relative error = 2.0047806793916895630965001830486e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.868 Order of pole = 3.613 x[1] = -1.551 y[1] (analytic) = 0.29363392834333793066187142886087 y[1] (numeric) = 0.29363392834333787148363774647346 absolute error = 5.9178233682387412071972172041780e-17 relative error = 2.0153745180697225293972050107766e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.867 Order of pole = 3.613 x[1] = -1.55 y[1] (analytic) = 0.29390154298310066127847171197649 y[1] (numeric) = 0.29390154298310060173377566119351 absolute error = 5.9544696050782981897494110580357e-17 relative error = 2.0260082831278909590622371124966e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.866 Order of pole = 3.613 x[1] = -1.549 y[1] (analytic) = 0.29416947279829593507797403130728 y[1] (numeric) = 0.29416947279829587516500490671525 absolute error = 5.9912969124592026602770719447732e-17 relative error = 2.0366820715510725982548538646134e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.865 Order of pole = 3.613 x[1] = -1.548 y[1] (analytic) = 0.2944377181783491701567350861407 y[1] (numeric) = 0.29443771817834910987367502006609 absolute error = 6.0283060066074608536980169129034e-17 relative error = 2.0473959803464945727257989633361e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.864 Order of pole = 3.613 x[1] = -1.547 y[1] (analytic) = 0.29470627951299197897919049489731 y[1] (numeric) = 0.294706279512991918324214437075 absolute error = 6.0654976057822308857924858875688e-17 relative error = 2.0581501065418717881749035246072e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.863 Order of pole = 3.613 x[1] = -1.546 y[1] (analytic) = 0.29497515719226126775602958718817 y[1] (numeric) = 0.29497515719226120672730528443486 absolute error = 6.1028724302753308868706190937274e-17 relative error = 2.0689445471835283644874275719551e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.862 Order of pole = 3.612 x[1] = -1.545 y[1] (analytic) = 0.29524435160649832817885902820322 y[1] (numeric) = 0.29524435160649826677454700409646 absolute error = 6.1404312024106760321335902484657e-17 relative error = 2.0797793993345019987737273511310e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=99.1MB, alloc=4.4MB, time=6.89 Complex estimate of poles used Radius of convergence = 1.862 Order of pole = 3.612 x[1] = -1.544 y[1] (analytic) = 0.29551386314634792147369217384726 y[1] (numeric) = 0.29551386314634785969194570841082 absolute error = 6.1781746465436437086268739406215e-17 relative error = 2.0906547600726311516795989295131e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.861 Order of pole = 3.612 x[1] = -1.543 y[1] (analytic) = 0.29578369220275735473545254461231 y[1] (numeric) = 0.29578369220275729257441765400865 absolute error = 6.2161034890603660529438458357562e-17 relative error = 2.1015707264886249509729148249971e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.86 Order of pole = 3.612 x[1] = -1.542 y[1] (analytic) = 0.29605383916697554950553087782332 y[1] (numeric) = 0.29605383916697548696334629405383 absolute error = 6.2542184583769490880652312153768e-17 relative error = 2.1125273956841157059499567650976e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.859 Order of pole = 3.612 x[1] = -1.541 y[1] (analytic) = 0.29632430443055210255428587176092 y[1] (numeric) = 0.29632430443055203962908302237474 absolute error = 6.2925202849386176819147445066546e-17 relative error = 2.1235248647696939257421731906462e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.858 Order of pole = 3.612 x[1] = -1.54 y[1] (analytic) = 0.29659508838533633883022897140823 y[1] (numeric) = 0.29659508838533627552013195922038 absolute error = 6.3310097012187855443735145558085e-17 relative error = 2.1345632308629257341409741676364e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.857 Order of pole = 3.611 x[1] = -1.539 y[1] (analytic) = 0.2968661914234763565374833643608 y[1] (numeric) = 0.2968661914234762928406089471803 absolute error = 6.3696874417180494736254831887267e-17 relative error = 2.1456425910863525730946386256373e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.856 Order of pole = 3.611 x[1] = -1.538 y[1] (analytic) = 0.29713761393741806430295675696877 y[1] (numeric) = 0.2971376139374180002174143273377 absolute error = 6.4085542429631070568028149246506e-17 relative error = 2.1567630425654730865674692671276e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.856 Order of pole = 3.611 x[1] = -1.537 y[1] (analytic) = 0.29740935631990421039451648525192 y[1] (numeric) = 0.29740935631990414591840805019595 absolute error = 6.4476108435055970239643815194576e-17 relative error = 2.1679246824267070759870093525197e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.855 Order of pole = 3.611 x[1] = -1.536 y[1] (analytic) = 0.2976814189639734039513040827602 y[1] (numeric) = 0.29768141896397333908272424355158 absolute error = 6.4868579839208614484715054132967e-17 relative error = 2.1791276077953414180404534248866e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.854 Order of pole = 3.611 x[1] = -1.535 y[1] (analytic) = 0.29795380226295912818717457858159 y[1] (numeric) = 0.2979538022629590629242105105153 absolute error = 6.5262964068066289808232814089586e-17 relative error = 2.1903719157934578351163617646782e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.853 Order of pole = 3.61 x[1] = -1.534 y[1] (analytic) = 0.29822650661048874552809353337572 y[1] (numeric) = 0.29822650661048867986882496555954 absolute error = 6.5659268567816182969788674699218e-17 relative error = 2.2016577035378424082224471329973e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.852 Order of pole = 3.61 x[1] = -1.533 y[1] (analytic) = 0.29849953240048249464417213990434 y[1] (numeric) = 0.29849953240048242858667133506373 absolute error = 6.6057500804840609361260660746642e-17 relative error = 2.2129850681378767217445636570006e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.851 Order of pole = 3.61 x[1] = -1.532 y[1] (analytic) = 0.29877288002715247933686761732213 y[1] (numeric) = 0.29877288002715241287919935162071 absolute error = 6.6457668265701426967542310127342e-17 relative error = 2.2243541066934105289461133301166e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.85 Order of pole = 3.61 x[1] = -1.531 y[1] (analytic) = 0.2990465498850016492417226157841 y[1] (numeric) = 0.29904654988500158238194415866047 absolute error = 6.6859778457123627537549560420416e-17 relative error = 2.2357649162926158266409176561302e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.85 Order of pole = 3.609 x[1] = -1.53 y[1] (analytic) = 0.29932054236882277230686342003652 y[1] (numeric) = 0.29932054236882270504302451405842 absolute error = 6.7263838905978096531060579232875e-17 relative error = 2.2472175940098222270062028915911e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.849 Order of pole = 3.609 x[1] = -1.529 y[1] (analytic) = 0.29959485787369739900732239792129 y[1] (numeric) = 0.29959485787369733133746523865776 absolute error = 6.7669857159263533344929848037103e-17 relative error = 2.2587122369033335140357398890201e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.848 Order of pole = 3.609 x[1] = -1.528 y[1] (analytic) = 0.29986949679499481825509538248954 y[1] (numeric) = 0.29986949679499475017725459840202 absolute error = 6.8077840784087523259868908821774e-17 relative error = 2.2702489420132252716663867923631e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.847 Order of pole = 3.609 x[1] = -1.527 y[1] (analytic) = 0.30014445952837100496468950505878 y[1] (numeric) = 0.30014445952837093647689213741203 absolute error = 6.8487797367646752486301502682675e-17 relative error = 2.2818278063591234701443281923145e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=103.0MB, alloc=4.4MB, time=7.16 Complex estimate of poles used Radius of convergence = 1.846 Order of pole = 3.608 x[1] = -1.526 y[1] (analytic) = 0.30041974646976755923376141144407 y[1] (numeric) = 0.30041974646976749033402689423771 absolute error = 6.8899734517206357624779688671656e-17 relative error = 2.2934489269379638967302115496881e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.845 Order of pole = 3.608 x[1] = -1.525 y[1] (analytic) = 0.30069535801541063709828979515129 y[1] (numeric) = 0.30069535801541056778462993507289 absolute error = 6.9313659860078400793089263258706e-17 relative error = 2.3051124007217323163751748112473e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.844 Order of pole = 3.608 x[1] = -1.524 y[1] (analytic) = 0.30097129456180987282156976996162 y[1] (numeric) = 0.30097129456180980309198872636216 absolute error = 6.9729581043599461608476753663995e-17 relative error = 2.3168183246551852475324625828190e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.844 Order of pole = 3.608 x[1] = -1.523 y[1] (analytic) = 0.30124755650575729267615978049898 y[1] (numeric) = 0.30124755650575722252865404539164 absolute error = 7.0147505735107337149395794945977e-17 relative error = 2.3285667956535512378019667380122e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.843 Order of pole = 3.607 x[1] = -1.522 y[1] (analytic) = 0.30152414424432622017775451351492 y[1] (numeric) = 0.30152414424432614961031289159807 absolute error = 7.0567441621916840956797199078573e-17 relative error = 2.3403579106002125236376260198890e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.842 Order of pole = 3.607 x[1] = -1.521 y[1] (analytic) = 0.30180105817487017272979962522345 y[1] (numeric) = 0.30180105817487010174040321392875 absolute error = 7.0989396411294692070273877721961e-17 relative error = 2.3521917663443669578802034767293e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.841 Order of pole = 3.607 x[1] = -1.52 y[1] (analytic) = 0.30207829869502174963750604156597 y[1] (numeric) = 0.30207829869502167822412821113249 absolute error = 7.1413377830433485029318398103031e-17 relative error = 2.3640684596986700884105562508027e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.84 Order of pole = 3.606 x[1] = -1.519 y[1] (analytic) = 0.30235586620269151144976311929662 y[1] (numeric) = 0.30235586620269143961036949287189 absolute error = 7.1839393626424731704556758492940e-17 relative error = 2.3759880874368572707511454532597e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.839 Order of pole = 3.606 x[1] = -1.518 y[1] (analytic) = 0.30263376109606685058729107678303 y[1] (numeric) = 0.30263376109606677831983951055206 absolute error = 7.2267451566230965758086407623172e-17 relative error = 2.3879507462913456969762311078303e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.838 Order of pole = 3.606 x[1] = -1.517 y[1] (analytic) = 0.30291198377361085321521381496743 y[1] (numeric) = 0.30291198377361078051765437831053 absolute error = 7.2697559436656900465969059046572e-17 relative error = 2.3999565329508162228239852897080e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.838 Order of pole = 3.605 x[1] = -1.516 y[1] (analytic) = 0.30319053463406115231807355159818 y[1] (numeric) = 0.30319053463406107918834850727855 absolute error = 7.3129725044319630569508941865698e-17 relative error = 2.4120055440577748744366628456219e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.837 Order of pole = 3.605 x[1] = -1.515 y[1] (analytic) = 0.30346941407642877193514858621187 y[1] (numeric) = 0.303469414076428698371192370594 absolute error = 7.3563956215617868755184275578267e-17 relative error = 2.4240978762060939156880210449240e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.836 Order of pole = 3.605 x[1] = -1.514 y[1] (analytic) = 0.30374862249999696251377500003037 y[1] (numeric) = 0.30374862249999688851351420333017 absolute error = 7.4000260796700207295993468722937e-17 relative error = 2.4362336259385323565904051375578e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.835 Order of pole = 3.604 x[1] = -1.513 y[1] (analytic) = 0.30402816030432002733821217456446 y[1] (numeric) = 0.30402816030431995289956552113206 absolute error = 7.4438646653432395319527346093011e-17 relative error = 2.4484128897442357828073444142140e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.834 Order of pole = 3.604 x[1] = -1.512 y[1] (analytic) = 0.30430802788922213999143068593464 y[1] (numeric) = 0.30430802788922206511230901457102 absolute error = 7.4879121671363622100284153236341e-17 relative error = 2.4606357640562153858311616845268e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.833 Order of pole = 3.603 x[1] = -1.511 y[1] (analytic) = 0.30458822565479615280703939940075 y[1] (numeric) = 0.30458822565479607748534564370896 absolute error = 7.5321693755691796705604733986463e-17 relative error = 2.4729023452488060729190171985037e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.832 Order of pole = 3.603 x[1] = -1.51 y[1] (analytic) = 0.30486875400140239626840645102283 y[1] (numeric) = 0.30486875400140232050203561979502 absolute error = 7.5766370831227814256120709904452e-17 relative error = 2.4852127296351035354150154055759e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.831 Order of pole = 3.603 memory used=106.8MB, alloc=4.4MB, time=7.43 x[1] = -1.509 y[1] (analytic) = 0.30514961332966746931186626146867 y[1] (numeric) = 0.30514961332966739309870541910987 absolute error = 7.6213160842358798992778311937724e-17 relative error = 2.4975670134643801536205294326319e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.831 Order of pole = 3.602 x[1] = -1.508 y[1] (analytic) = 0.30543080404048302049074178146792 y[1] (numeric) = 0.30543080404048294382867002845761 absolute error = 7.6662071753010314273324345993612e-17 relative error = 2.5099652929194796159097740154123e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.83 Order of pole = 3.602 x[1] = -1.507 y[1] (analytic) = 0.30571232653500451995674782004183 y[1] (numeric) = 0.3057123265350044428436362734343 absolute error = 7.7113111546607529551618256981113e-17 relative error = 2.5224076641141901293229134787981e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.829 Order of pole = 3.602 x[1] = -1.506 y[1] (analytic) = 0.30599418121465002221517755618359 y[1] (numeric) = 0.30599418121464994464888933014826 absolute error = 7.7566288226035334323265051862080e-17 relative error = 2.5348942230905960984046582702715e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.828 Order of pole = 3.601 x[1] = -1.505 y[1] (analytic) = 0.30627636848109891961011018292356 y[1] (numeric) = 0.30627636848109884158850036932617 absolute error = 7.8021609813597388950847633556851e-17 relative error = 2.5474250658164081485924129475396e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.827 Order of pole = 3.601 x[1] = -1.504 y[1] (analytic) = 0.30655888873629068649571308049991 y[1] (numeric) = 0.30655888873629060801662872952581 absolute error = 7.8479084350974102211473587218160e-17 relative error = 2.5600002881822713699946222508303e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.826 Order of pole = 3.6 x[1] = -1.503 y[1] (analytic) = 0.30684174238242361404954696350946 y[1] (numeric) = 0.30684174238242353511082706432993 absolute error = 7.8938719899179525338440372689950e-17 relative error = 2.5726199859990516569370522055990e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.825 Order of pole = 3.6 x[1] = -1.502 y[1] (analytic) = 0.30712492982195353568361709629349 y[1] (numeric) = 0.30712492982195345628309255777634 absolute error = 7.9400524538517152257563957750724e-17 relative error = 2.5852842549951000181923727669219e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.825 Order of pole = 3.6 x[1] = -1.501 y[1] (analytic) = 0.30740845145759254300874792230313 y[1] (numeric) = 0.30740845145759246314424155376851 absolute error = 7.9864506368534615647108943790284e-17 relative error = 2.5979931908134947323466104125874e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.824 Order of pole = 3.599 x[1] = -1.5 y[1] (analytic) = 0.30769230769230769230769230769231 y[1] (numeric) = 0.30769230769230761197701879971504 absolute error = 8.0330673507977268378302978975385e-17 relative error = 2.6107468890092612222948468167000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.823 Order of pole = 3.599 x[1] = -1.499 y[1] (analytic) = 0.30797649892931970147222005783183 y[1] (numeric) = 0.30797649892931962067318596309119 absolute error = 8.0799034094740639821114536490461e-17 relative error = 2.6235454450465695223979872109906e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.822 Order of pole = 3.598 x[1] = -1.498 y[1] (analytic) = 0.30826102557210163735926342877506 y[1] (numeric) = 0.3082610255721015560896671429533 absolute error = 8.1269596285821756427320792910224e-17 relative error = 2.6363889542959092113725436148394e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.821 Order of pole = 3.598 x[1] = -1.497 y[1] (analytic) = 0.30854588802437759352103002490891 y[1] (numeric) = 0.30854588802437751177866176763959 absolute error = 8.1742368257269315929891233414597e-17 relative error = 2.6492775120312416835262085651781e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.82 Order of pole = 3.597 x[1] = -1.496 y[1] (analytic) = 0.30883108669012135826382575008894 y[1] (numeric) = 0.30883108669012127604646754595624 absolute error = 8.2217358204132704424362619445989e-17 relative error = 2.6622112134271296304935695156802e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.819 Order of pole = 3.597 x[1] = -1.495 y[1] (analytic) = 0.30911662197355507299016236350569 y[1] (numeric) = 0.30911662197355499029558802309585 absolute error = 8.2694574340409845524181987782678e-17 relative error = 2.6751901535558436051686683502666e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.819 Order of pole = 3.596 x[1] = -1.494 y[1] (analytic) = 0.30940249427914788077855568440451 y[1] (numeric) = 0.30940249427914779760453078541063 absolute error = 8.3174024898993870707946339694863e-17 relative error = 2.6882144273844455390742805596203e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.818 Order of pole = 3.596 x[1] = -1.493 y[1] (analytic) = 0.30968870401161456515525159265158 y[1] (numeric) = 0.30968870401161448149953346103298 absolute error = 8.3655718131618599902070581677356e-17 relative error = 2.7012841297718490839518110969468e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.817 Order of pole = 3.596 x[1] = -1.492 y[1] (analytic) = 0.30997525157591417901194768609674 y[1] (numeric) = 0.30997525157591409487228537729392 absolute error = 8.4139662308802821267669077410541e-17 relative error = 2.7143993554658566479006157454736e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.816 Order of pole = 3.595 memory used=110.6MB, alloc=4.4MB, time=7.71 x[1] = -1.491 y[1] (analytic) = 0.31026213737724866362340878184569 y[1] (numeric) = 0.31026213737724857899754306205233 absolute error = 8.4625865719793359085340872067516e-17 relative error = 2.7275601991001729959413954328424e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.815 Order of pole = 3.595 x[1] = -1.49 y[1] (analytic) = 0.31054936182106145771870438806248 y[1] (numeric) = 0.31054936182106137260436771555556 absolute error = 8.5114336672506918556104289029602e-17 relative error = 2.7407667551913952844251142110422e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.814 Order of pole = 3.594 x[1] = -1.489 y[1] (analytic) = 0.31083692531303609655962582694279 y[1] (numeric) = 0.31083692531303601095454233347209 absolute error = 8.5605083493470696260933236265949e-17 relative error = 2.7540191181359793982566979398915e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.813 Order of pole = 3.594 x[1] = -1.488 y[1] (analytic) = 0.31112482825909480097966985922224 y[1] (numeric) = 0.31112482825909471488155533146049 absolute error = 8.6098114527761744945205282866048e-17 relative error = 2.7673173822071824594516188869221e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.812 Order of pole = 3.593 x[1] = -1.487 y[1] (analytic) = 0.31141307106539705633680444722779 y[1] (numeric) = 0.3114130710653969697433663082827 absolute error = 8.6593438138945081217880490715841e-17 relative error = 2.7806616415519813750934007749150e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.812 Order of pole = 3.593 x[1] = -1.486 y[1] (analytic) = 0.31170165413833818133306069828651 y[1] (numeric) = 0.31170165413833809424199798927599 absolute error = 8.7091062709010524678390255172361e-17 relative error = 2.7940519901879672923111290308295e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.811 Order of pole = 3.592 x[1] = -1.485 y[1] (analytic) = 0.31199057788454788665382305454375 y[1] (numeric) = 0.3119905778845477990628264162355 absolute error = 8.7590996638308256907027193205914e-17 relative error = 2.8074885220002158274482623534343e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.81 Order of pole = 3.592 x[1] = -1.484 y[1] (analytic) = 0.31227984271088882337951744020466 y[1] (numeric) = 0.31227984271088873528626909472157 absolute error = 8.8093248345483088677090617957822e-17 relative error = 2.8209713307381329361474549389914e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.809 Order of pole = 3.591 x[1] = -1.483 y[1] (analytic) = 0.31256944902445512112222434422148 y[1] (numeric) = 0.31256944902445503252439807681406 absolute error = 8.8597826267407423669157584287325e-17 relative error = 2.8345005100122762906307549867701e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.808 Order of pole = 3.591 x[1] = -1.482 y[1] (analytic) = 0.31285939723257091583957070684949 y[1] (numeric) = 0.31285939723257082673483184773659 absolute error = 8.9104738859112906889617139544477e-17 relative error = 2.8480761532911520300104861393736e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.807 Order of pole = 3.59 x[1] = -1.481 y[1] (analytic) = 0.31314968774278886727808099366154 y[1] (numeric) = 0.31314968774278877766408639994079 absolute error = 8.9613994593720745917025556455118e-17 relative error = 2.8616983538979867490233864798707e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.806 Order of pole = 3.59 x[1] = -1.48 y[1] (analytic) = 0.31344032096288866599799398194584 y[1] (numeric) = 0.31344032096288857587239201957514 absolute error = 9.0125601962370693020913280097215e-17 relative error = 2.8753672050074745901392172882216e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.806 Order of pole = 3.589 x[1] = -1.479 y[1] (analytic) = 0.31373129730087552993137755334138 y[1] (numeric) = 0.3137312973008754392918080791927 absolute error = 9.0639569474148676118400438909803e-17 relative error = 2.8890827996424993035551041339910e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.805 Order of pole = 3.589 x[1] = -1.478 y[1] (analytic) = 0.31402261716497869042519918454607 y[1] (numeric) = 0.314022617164978599269293528533 absolute error = 9.1155905656013066454357432359424e-17 relative error = 2.9028452306708311391483797362967e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.804 Order of pole = 3.588 x[1] = -1.477 y[1] (analytic) = 0.31431428096364986772083485644795 y[1] (numeric) = 0.31431428096364977604621580372838 absolute error = 9.1674619052719570810880729042575e-17 relative error = 2.9166545908017984340237055499009e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.803 Order of pole = 3.588 x[1] = -1.476 y[1] (analytic) = 0.31460628910556173582132376259054 y[1] (numeric) = 0.31460628910556164362560553584581 absolute error = 9.2195718226744735971542034740284e-17 relative error = 2.9305109725829337588548019461663e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.802 Order of pole = 3.587 x[1] = -1.475 y[1] (analytic) = 0.31489864199960637669750049202913 y[1] (numeric) = 0.31489864199960628397828873382108 absolute error = 9.2719211758208053085211899219376e-17 relative error = 2.9444144683965944857872603745853e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.801 Order of pole = 3.587 x[1] = -1.474 y[1] (analytic) = 0.31519134005489372378396029093421 y[1] (numeric) = 0.31519134005489363053885204614157 absolute error = 9.3245108244792649493257135673724e-17 relative error = 2.9583651704565576402366907618077e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=114.4MB, alloc=4.4MB, time=7.97 Complex estimate of poles used Radius of convergence = 1.8 Order of pole = 3.586 x[1] = -1.473 y[1] (analytic) = 0.31548438368074999471563657334744 y[1] (numeric) = 0.31548438368074990094222027168288 absolute error = 9.3773416301664555502565673706825e-17 relative error = 2.9723631708045888984859199035306e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.799 Order of pole = 3.586 x[1] = -1.472 y[1] (analytic) = 0.31577777328671611325559305592045 y[1] (numeric) = 0.31577777328671601895144849452992 absolute error = 9.4304144561390533505163236062686e-17 relative error = 2.9864085613069855925561485335154e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.799 Order of pole = 3.585 x[1] = -1.471 y[1] (analytic) = 0.31607150928254612036445573592352 y[1] (numeric) = 0.31607150928254602552715406206906 absolute error = 9.4837301673854456763154136099152e-17 relative error = 3.0005014336510935833999434511008e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.798 Order of pole = 3.585 x[1] = -1.47 y[1] (analytic) = 0.31636559207820557436173241798222 y[1] (numeric) = 0.31636559207820547898883611181 absolute error = 9.5372896306172225095344187746218e-17 relative error = 3.0146418793417978630387344304702e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.797 Order of pole = 3.584 x[1] = -1.469 y[1] (analytic) = 0.31666002208386994012908962460271 y[1] (numeric) = 0.31666002208386984421815248199751 absolute error = 9.5910937142605204619187888682961e-17 relative error = 3.0288299896979867458441520413313e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.796 Order of pole = 3.584 x[1] = -1.468 y[1] (analytic) = 0.31695479970992296730547850032203 y[1] (numeric) = 0.31695479970992287085404561584985 absolute error = 9.6451432884472178618645403294223e-17 relative error = 3.0430658558489895087411309488295e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.795 Order of pole = 3.583 x[1] = -1.467 y[1] (analytic) = 0.3172499253669550574238227410457 y[1] (numeric) = 0.3172499253669549604294304909859 absolute error = 9.6994392250059796525138194053851e-17 relative error = 3.0573495687309873396912632495701e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.794 Order of pole = 3.583 x[1] = -1.466 y[1] (analytic) = 0.31754539946576161993880265061496 y[1] (numeric) = 0.31754539946576152239897867608345 absolute error = 9.7539823974531507915056225095891e-17 relative error = 3.0716812190833974533974680159808e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.793 Order of pole = 3.582 x[1] = -1.465 y[1] (analytic) = 0.31784122241734141709509014771671 y[1] (numeric) = 0.31784122241734131900735333788174 absolute error = 9.8087736809834968343195324524397e-17 relative error = 3.0860608974452302327556970990177e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.793 Order of pole = 3.582 x[1] = -1.464 y[1] (analytic) = 0.31813739463289489758520991977847 y[1] (numeric) = 0.31813739463289479894707039517057 absolute error = 9.8638139524607903747091415528326e-17 relative error = 3.1004886941514192541661745806453e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.792 Order of pole = 3.581 x[1] = -1.463 y[1] (analytic) = 0.31843391652382251894602194837613 y[1] (numeric) = 0.31843391652382241975498104429371 absolute error = 9.9191040904082420072469822605017e-17 relative error = 3.1149646993291240544056198434430e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.791 Order of pole = 3.581 x[1] = -1.462 y[1] (analytic) = 0.31873078850172305864264031485502 y[1] (numeric) = 0.31873078850172295889619056486728 absolute error = 9.9746449749987744684943679632761e-17 relative error = 3.1294890028940054963530843800173e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.79 Order of pole = 3.58 x[1] = -1.461 y[1] (analytic) = 0.3190280109783919137884225372872 y[1] (numeric) = 0.31902801097839181348404765683581 absolute error = 1.0030437488045138604767660268035e-16 relative error = 3.1440616945464735904554931231020e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.789 Order of pole = 3.58 x[1] = -1.46 y[1] (analytic) = 0.31932558436581938944948269255333 y[1] (numeric) = 0.31932558436581928858465756265463 absolute error = 1.0086482512989869805897227439289e-16 relative error = 3.1586828637679076284147757448876e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.788 Order of pole = 3.579 x[1] = -1.459 y[1] (analytic) = 0.31962350907618897548200024227462 y[1] (numeric) = 0.31962350907618887405419089332378 absolute error = 1.0142780934895083535766849178385e-16 relative error = 3.1733525998168484851766561454277e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.787 Order of pole = 3.579 x[1] = -1.458 y[1] (analytic) = 0.31992178552187561185041481058711 y[1] (numeric) = 0.31992178552187550985707840626602 absolute error = 1.0199333640432108581779667023252e-16 relative error = 3.1880709917251629449017939113268e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.787 Order of pole = 3.578 x[1] = -1.457 y[1] (analytic) = 0.32022041411544394237441515744117 y[1] (numeric) = 0.3202204141154438398129999787316 absolute error = 1.0256141517870956636722093064615e-16 relative error = 3.2028381282941799062030951604741e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.786 Order of pole = 3.578 x[1] = -1.456 y[1] (analytic) = 0.32051939526964655685244825534883 y[1] (numeric) = 0.32051939526964645372039368465256 absolute error = 1.0313205457069626817789492415581e-16 relative error = 3.2176540980907983215386877809097e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=118.2MB, alloc=4.4MB, time=8.24 Complex estimate of poles used Radius of convergence = 1.785 Order of pole = 3.577 x[1] = -1.455 y[1] (analytic) = 0.32081872939742222150929171245017 y[1] (numeric) = 0.32081872939742211780402821781774 absolute error = 1.0370526349463243718797071285961e-16 relative error = 3.2325189894435667252583441125121e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.784 Order of pole = 3.577 x[1] = -1.454 y[1] (analytic) = 0.32111841691189409771504979262173 y[1] (numeric) = 0.32111841691189399343399891209145 absolute error = 1.0428105088053027582826361350273e-16 relative error = 3.2474328904387342044120897102666e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.783 Order of pole = 3.576 x[1] = -1.453 y[1] (analytic) = 0.32141845822636794892274996633142 y[1] (numeric) = 0.32141845822636784406332429238046 absolute error = 1.0485942567395095173752125568789e-16 relative error = 3.2623958889162726660434176838747e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.782 Order of pole = 3.576 x[1] = -1.452 y[1] (analytic) = 0.32171885375433033577153328631948 y[1] (numeric) = 0.32171885375433023033113645042859 absolute error = 1.0544039683589089916256558453910e-16 relative error = 3.2774080724658702543059925668524e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.781 Order of pole = 3.575 x[1] = -1.451 y[1] (analytic) = 0.32201960390944679930224792224901 y[1] (numeric) = 0.32201960390944669327827457958261 absolute error = 1.0602397334266639865067457278996e-16 relative error = 3.2924695284228957703620346901650e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.78 Order of pole = 3.575 x[1] = -1.45 y[1] (analytic) = 0.322320709105560032232070910556 y[1] (numeric) = 0.32232070910555992562190672475958 absolute error = 1.0661016418579642055254746853771e-16 relative error = 3.3075803438643339476427852113823e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.78 Order of pole = 3.574 x[1] = -1.449 y[1] (analytic) = 0.32262216975668803823459858220461 y[1] (numeric) = 0.3226221697566879310356202103209 absolute error = 1.0719897837188371776485500891829e-16 relative error = 3.3227406056046914346766235049813e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.779 Order of pole = 3.574 x[1] = -1.448 y[1] (analytic) = 0.32292398627702227917166122432108 y[1] (numeric) = 0.32292398627702217138123630182693 absolute error = 1.0779042492249415305171574087567e-16 relative error = 3.3379504001918733373186034163265e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.778 Order of pole = 3.573 x[1] = -1.447 y[1] (analytic) = 0.32322615908092581022293231417971 y[1] (numeric) = 0.32322615908092570183841944014546 absolute error = 1.0838451287403424619446302044661e-16 relative error = 3.3532098139030301718464544282491e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.777 Order of pole = 3.573 x[1] = -1.446 y[1] (analytic) = 0.32352868858293140285921713822051 y[1] (numeric) = 0.32352868858293129387796586059359 absolute error = 1.0898125127762692612877607287706e-16 relative error = 3.3685189327403750800225202407288e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.776 Order of pole = 3.572 x[1] = -1.445 y[1] (analytic) = 0.32383157519773965560511977720388 y[1] (numeric) = 0.3238315751977395460244705782184 absolute error = 1.0958064919898547313764439827798e-16 relative error = 3.3838778424269711568587434299235e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.775 Order of pole = 3.572 x[1] = -1.444 y[1] (analytic) = 0.3241348193402170925366013037999 y[1] (numeric) = 0.32413481934021698235388558551426 absolute error = 1.1018271571828563607771956243727e-16 relative error = 3.3992866284024887414627141997947e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.774 Order of pole = 3.571 x[1] = -1.443 y[1] (analytic) = 0.32443842142539424945875560345709 y[1] (numeric) = 0.32443842142539413867129567342118 absolute error = 1.1078745993003590952538383167228e-16 relative error = 3.4147453758189325209870478978804e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.774 Order of pole = 3.571 x[1] = -1.442 y[1] (analytic) = 0.32474238186846374770894249591799 y[1] (numeric) = 0.32474238186846363631405155297203 absolute error = 1.1139489094294595563733305754951e-16 relative error = 3.4302541695363382973520047342789e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.773 Order of pole = 3.571 x[1] = -1.441 y[1] (analytic) = 0.32504670108477835553023080591104 y[1] (numeric) = 0.32504670108477824352521292611788 absolute error = 1.1200501787979315542863360736550e-16 relative error = 3.4458130941184392660623814902142e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.772 Order of pole = 3.57 x[1] = -1.44 y[1] (analytic) = 0.32535137948984903695991671004685 y[1] (numeric) = 0.32535137948984892434206683275958 absolute error = 1.1261784987728727407907193772477e-16 relative error = 3.4614222338283016560943550779084e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.771 Order of pole = 3.57 x[1] = -1.439 y[1] (analytic) = 0.32565641749934298817769507552135 y[1] (numeric) = 0.32565641749934287494429898958813 absolute error = 1.1323339608593322478617264309092e-16 relative error = 3.4770816726239295794862084476481e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.77 Order of pole = 3.569 x[1] = -1.438 y[1] (analytic) = 0.3259618155290816612578736076541 y[1] (numeric) = 0.32596181552908154740620793776219 absolute error = 1.1385166566989191559051855469789e-16 relative error = 3.4927914941538389389287880491859e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=122.0MB, alloc=4.4MB, time=8.51 Complex estimate of poles used Radius of convergence = 1.769 Order of pole = 3.569 x[1] = -1.437 y[1] (analytic) = 0.32626757399503877526983144038325 y[1] (numeric) = 0.32626757399503866079716363354408 absolute error = 1.1447266780683916350596684839715e-16 relative error = 3.5085517817526002413171970536498e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.768 Order of pole = 3.568 x[1] = -1.436 y[1] (analytic) = 0.32657369331333831467073533945376 y[1] (numeric) = 0.3265736933133381995743236516311 absolute error = 1.1509641168782266019402032911708e-16 relative error = 3.5243626184363501648946887370809e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.768 Order of pole = 3.568 x[1] = -1.435 y[1] (analytic) = 0.32688017390025251493433794506779 y[1] (numeric) = 0.32688017390025239921143142795081 absolute error = 1.1572290651711697332798533707411e-16 relative error = 3.5402240868982717272930594281055e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.767 Order of pole = 3.567 x[1] = -1.434 y[1] (analytic) = 0.32718701617219983535949346214904 y[1] (numeric) = 0.32718701617219971900733195007248 absolute error = 1.1635216151207656769862936608199e-16 relative error = 3.5561362695040429014511205480087e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.766 Order of pole = 3.567 x[1] = -1.433 y[1] (analytic) = 0.32749422054574291900183691508304 y[1] (numeric) = 0.32749422054574280201765101209621 absolute error = 1.1698418590298683001884485426314e-16 relative error = 3.5720992482872535260741255519910e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.765 Order of pole = 3.566 x[1] = -1.432 y[1] (analytic) = 0.32780178743758653967188352284647 y[1] (numeric) = 0.32780178743758642205289458993339 absolute error = 1.1761898893291308129033311753616e-16 relative error = 3.5881131049447903569824117635063e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.764 Order of pole = 3.566 x[1] = -1.431 y[1] (analytic) = 0.32810971726457553594261492288929 y[1] (numeric) = 0.32810971726457541768603506534173 absolute error = 1.1825657985754756050054652086145e-16 relative error = 3.6041779208321901053870616496723e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.763 Order of pole = 3.566 x[1] = -1.43 y[1] (analytic) = 0.32841801044369273210942888107984 y[1] (numeric) = 0.32841801044369261321246093602548 absolute error = 1.1889696794505436332307025560070e-16 relative error = 3.6202937769589603088241662127856e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.762 Order of pole = 3.565 x[1] = -1.429 y[1] (analytic) = 0.32872666739205684604513877360627 y[1] (numeric) = 0.32872666739205672650497629769395 absolute error = 1.1954016247591231939929010824083e-16 relative error = 3.6364607539838678801773588016304e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.762 Order of pole = 3.565 x[1] = -1.428 y[1] (analytic) = 0.32903568852692038389251851812855 y[1] (numeric) = 0.32903568852692026370634577537276 absolute error = 1.2018617274275579168358202217990e-16 relative error = 3.6526789322101951799207554449679e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.761 Order of pole = 3.564 x[1] = -1.427 y[1] (analytic) = 0.32934507426566752153669776891766 y[1] (numeric) = 0.32934507426566740070168971870428 absolute error = 1.2083500805021338123837578831840e-16 relative error = 3.6689483915809634564213631896903e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.76 Order of pole = 3.564 x[1] = -1.426 y[1] (analytic) = 0.3296548250258119727995210774702 y[1] (numeric) = 0.32965482502581185131284336272568 absolute error = 1.2148667771474452076929163266722e-16 relative error = 3.6852692116741234988514770469684e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.759 Order of pole = 3.564 x[1] = -1.425 y[1] (analytic) = 0.32996494122499484429779335945556 y[1] (numeric) = 0.32996494122499472215660229498162 absolute error = 1.2214119106447394009412764442554e-16 relative error = 3.7016414716977133469776559238717e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.758 Order of pole = 3.563 x[1] = -1.424 y[1] (analytic) = 0.33027542328098247690714240419371 y[1] (numeric) = 0.33027542328098235410858496516972 absolute error = 1.2279855743902398664279081465249e-16 relative error = 3.7180652504849829018136260162525e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.757 Order of pole = 3.563 x[1] = -1.423 y[1] (analytic) = 0.3305862716116642737730373175701 y[1] (numeric) = 0.33058627161166415031425112822531 absolute error = 1.2345878618934478398831790747918e-16 relative error = 3.7345406264894852808499849955307e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.757 Order of pole = 3.562 x[1] = -1.422 y[1] (analytic) = 0.33089748663505051481030970681159 y[1] (numeric) = 0.33089748663505039068842302926938 absolute error = 1.2412188667754221131192750236121e-16 relative error = 3.7510676777801347613039511404576e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.756 Order of pole = 3.562 x[1] = -1.421 y[1] (analytic) = 0.33120906876927015763233209935875 y[1] (numeric) = 0.33120906876927003284446382265506 absolute error = 1.2478786827670368660758443336911e-16 relative error = 3.7676464820362311545676983218978e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.755 Order of pole = 3.562 memory used=125.8MB, alloc=4.4MB, time=8.77 x[1] = -1.42 y[1] (analytic) = 0.33152101843256862485081554170534 y[1] (numeric) = 0.33152101843256849939407517098361 absolute error = 1.2545674037072173633384568360269e-16 relative error = 3.7842771165424504547741212001917e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.754 Order of pole = 3.561 x[1] = -1.419 y[1] (analytic) = 0.33183333604330557768699555111046 y[1] (numeric) = 0.33183333604330545155848319699513 absolute error = 1.2612851235411533412279581137009e-16 relative error = 3.8009596581838016041442666810826e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.753 Order of pole = 3.561 x[1] = -1.418 y[1] (analytic) = 0.33214602201995267583478259714275 y[1] (numeric) = 0.33214602201995254903158896529376 absolute error = 1.2680319363184899105767350070645e-16 relative error = 3.8176941834405492175312299274092e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.752 Order of pole = 3.561 x[1] = -1.417 y[1] (analytic) = 0.33245907678109132351626007475675 y[1] (numeric) = 0.33245907678109119603546645560717 absolute error = 1.2748079361914957993234222288370e-16 relative error = 3.8344807683831021083311291644742e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.751 Order of pole = 3.56 x[1] = -1.416 y[1] (analytic) = 0.33277250074541040166971929974017 y[1] (numeric) = 0.3327725007454102735083975584193 absolute error = 1.2816132174132087580707071921243e-16 relative error = 3.8513194886668674576929270719363e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.751 Order of pole = 3.56 x[1] = -1.415 y[1] (analytic) = 0.33308629433170398621022741466745 y[1] (numeric) = 0.33308629433170385736543998111166 absolute error = 1.2884478743355579507616659158852e-16 relative error = 3.8682104195270704687254424543185e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.75 Order of pole = 3.56 x[1] = -1.414 y[1] (analytic) = 0.33340045795886905230253024275554 y[1] (numeric) = 0.33340045795886892277133010200923 absolute error = 1.2953120014074631516385231114653e-16 relative error = 3.8851536357735393471719796664365e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.749 Order of pole = 3.559 x[1] = -1.413 y[1] (analytic) = 0.33371499204590316458589807209512 y[1] (numeric) = 0.33371499204590303436532875480406 absolute error = 1.3022056931729105686539109547639e-16 relative error = 3.9021492117854554498006812958058e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.748 Order of pole = 3.559 x[1] = -1.412 y[1] (analytic) = 0.33402989701190215329032809752604 y[1] (numeric) = 0.33402989701190202237742367062553 absolute error = 1.3091290442690051125086410358146e-16 relative error = 3.9191972215060684415420690491238e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.747 Order of pole = 3.559 x[1] = -1.411 y[1] (analytic) = 0.33434517327605777618332279588796 y[1] (numeric) = 0.33434517327605764457510785348806 absolute error = 1.3160821494239989294917407241836e-16 relative error = 3.9362977384373763021943666585160e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.746 Order of pole = 3.558 x[1] = -1.41 y[1] (analytic) = 0.3346608212576553662862688665038 y[1] (numeric) = 0.3346608212576552339797585209742 absolute error = 1.3230651034552960152980776250601e-16 relative error = 3.9534508356347700233121857514420e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.746 Order of pole = 3.558 x[1] = -1.409 y[1] (analytic) = 0.33497684137607146529924653659069 y[1] (numeric) = 0.33497684137607133229144640984742 absolute error = 1.3300780012674327259963436236713e-16 relative error = 3.9706565857016428356950906892170e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.745 Order of pole = 3.558 x[1] = -1.408 y[1] (analytic) = 0.3352932340507714426729040149353 y[1] (numeric) = 0.3352932340507713089608102299319 absolute error = 1.3371209378500340013155336958674e-16 relative error = 3.9879150607839638076995318887114e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.744 Order of pole = 3.557 x[1] = -1.407 y[1] (analytic) = 0.33560999970130710026583668076341 y[1] (numeric) = 0.33560999970130696584643585318889 absolute error = 1.3441940082757451144113754551213e-16 relative error = 4.0052263325648156544107404634768e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.743 Order of pole = 3.557 x[1] = -1.406 y[1] (analytic) = 0.33592713874731426252571522247111 y[1] (numeric) = 0.33592713874731412739598445265723 absolute error = 1.3512973076981387612654853579539e-16 relative error = 4.0225904722588965975305023710302e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.742 Order of pole = 3.557 x[1] = -1.405 y[1] (analytic) = 0.33624465160851035213221139701247 y[1] (numeric) = 0.33624465160851021628911826205274 absolute error = 1.3584309313495973018593894494966e-16 relative error = 4.0400075506069861156623707075392e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.741 Order of pole = 3.557 x[1] = -1.404 y[1] (analytic) = 0.33656253870469195103957436955105 y[1] (numeric) = 0.33656253870469181448007691563406 absolute error = 1.3655949745391699642529941575589e-16 relative error = 4.0574776378703744245079242888457e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.74 Order of pole = 3.556 x[1] = -1.403 y[1] (analytic) = 0.33688080045573234685651471882749 y[1] (numeric) = 0.33688080045573220957756145378701 absolute error = 1.3727895326504048216826704157182e-16 relative error = 4.0750008038252555263262340060517e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=129.7MB, alloc=4.5MB, time=9.04 Complex estimate of poles used Radius of convergence = 1.74 Order of pole = 3.556 x[1] = -1.402 y[1] (analytic) = 0.33719943728157906450085716096957 y[1] (numeric) = 0.33719943728157892649938704705403 absolute error = 1.3800147011391553517778676208435e-16 relative error = 4.0925771177570836678538513278439e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.739 Order of pole = 3.556 x[1] = -1.401 y[1] (analytic) = 0.3375184496022513830662268576256 y[1] (numeric) = 0.33751844960225124433916930448947 absolute error = 1.3872705755313613859771487533032e-16 relative error = 4.1102066484548930457344823034354e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.738 Order of pole = 3.556 x[1] = -1.4 y[1] (analytic) = 0.33783783783783783783783783783784 y[1] (numeric) = 0.33783783783783769838211269575741 absolute error = 1.3945572514208042562047814013456e-16 relative error = 4.1278894642055805983661529479829e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.737 Order of pole = 3.555 x[1] = -1.399 y[1] (analytic) = 0.33815760240849370739425558154485 y[1] (numeric) = 0.33815760240849356720677313486125 absolute error = 1.4018748244668359448475792838930e-16 relative error = 4.1456256327881517229392063059077e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.736 Order of pole = 3.555 x[1] = -1.398 y[1] (analytic) = 0.33847774373443848573180919061848 y[1] (numeric) = 0.33847774373443834480947015141028 absolute error = 1.4092233903920820430486138734739e-16 relative error = 4.1634152214679287563109970222467e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.735 Order of pole = 3.555 x[1] = -1.397 y[1] (analytic) = 0.33879826223595333934813181556229 y[1] (numeric) = 0.33879826223595319768782731755046 absolute error = 1.4166030449801183213097554740861e-16 relative error = 4.1812582969907220582427660451119e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.735 Order of pole = 3.555 x[1] = -1.396 y[1] (analytic) = 0.3391191583333785492211111171399 y[1] (numeric) = 0.33911915833337840681972270982782 absolute error = 1.4240138840731207153688080835453e-16 relative error = 4.1991549255769635354109871776878e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.734 Order of pole = 3.554 x[1] = -1.395 y[1] (analytic) = 0.33944043244711093761933452703219 y[1] (numeric) = 0.33944043244711079447373417008333 absolute error = 1.4314560035694885292893239373365e-16 relative error = 4.2171051729158024444995805524918e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.733 Order of pole = 3.554 x[1] = -1.394 y[1] (analytic) = 0.33976208499760127967991693496546 y[1] (numeric) = 0.33976208499760113578696699282139 absolute error = 1.4389294994214406566720740668520e-16 relative error = 4.2351091041591633125808885882252e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.732 Order of pole = 3.554 x[1] = -1.393 y[1] (analytic) = 0.34008411640535169968940117648699 y[1] (numeric) = 0.34008411640535155504595441322853 absolute error = 1.4464344676325846198666636993354e-16 relative error = 4.2531667839157658129023114080470e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.731 Order of pole = 3.554 x[1] = -1.392 y[1] (analytic) = 0.34040652709091305200322433062461 y[1] (numeric) = 0.34040652709091290660612390507878 absolute error = 1.4539710042554582260299699944286e-16 relative error = 4.2712782762451064341121057737131e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.73 Order of pole = 3.554 x[1] = -1.391 y[1] (analytic) = 0.34072931747488228653904536504206 y[1] (numeric) = 0.34072931747488214038512482613769 absolute error = 1.4615392053890436378449995018584e-16 relative error = 4.2894436446514017808821699830138e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.73 Order of pole = 3.554 x[1] = -1.39 y[1] (analytic) = 0.34105248797789979877903209303912 y[1] (numeric) = 0.34105248797789965186511537541375 absolute error = 1.4691391671762536556794698298146e-16 relative error = 4.3076629520774933438177734879995e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.729 Order of pole = 3.553 x[1] = -1.389 y[1] (analytic) = 0.34137603902064676421600773694655 y[1] (numeric) = 0.34137603902064661653890915680755 absolute error = 1.4767709858013900069279712818009e-16 relative error = 4.3259362608987135764842517631764e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.728 Order of pole = 3.553 x[1] = -1.388 y[1] (analytic) = 0.34169997102384245717815963129206 y[1] (numeric) = 0.34169997102384230873468388253472 absolute error = 1.4844347574875734372450175637165e-16 relative error = 4.3442636329167131173287826809890e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.727 Order of pole = 3.553 x[1] = -1.387 y[1] (analytic) = 0.34202428440824155396681475178101 y[1] (numeric) = 0.34202428440824140475375690236647 absolute error = 1.4921305784941453973387089701572e-16 relative error = 4.3626451293532489942315997869675e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.726 Order of pole = 3.553 x[1] = -1.386 y[1] (analytic) = 0.34234897959463142024158882792034 y[1] (numeric) = 0.34234897959463127025573431651623 absolute error = 1.4998585451140411179561666022258e-16 relative error = 4.3810808108439336493854908204351e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.725 Order of pole = 3.553 x[1] = -1.385 y[1] (analytic) = 0.34267405700382938258701779335041 y[1] (numeric) = 0.34267405700382923182514242623702 absolute error = 1.5076187536711338646524130170407e-16 relative error = 4.3995707374319446221752879766537e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=133.5MB, alloc=4.5MB, time=9.31 Complex estimate of poles used Radius of convergence = 1.725 Order of pole = 3.553 x[1] = -1.384 y[1] (analytic) = 0.34299951705667998419458225402819 y[1] (numeric) = 0.34299951705667983265345220227317 absolute error = 1.5154113005175501628940351363814e-16 relative error = 4.4181149685616947277103921025741e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.724 Order of pole = 3.553 x[1] = -1.383 y[1] (analytic) = 0.34332536017405222459383751578009 y[1] (numeric) = 0.34332536017405207227020931268451 absolute error = 1.5232362820309557830078321400076e-16 relative error = 4.4367135630724625686532995880465e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.723 Order of pole = 3.553 x[1] = -1.382 y[1] (analytic) = 0.34365158677683678336616351492341 y[1] (numeric) = 0.34365158677683663025678405374219 absolute error = 1.5310937946118122734427883570676e-16 relative error = 4.4553665791919832179857324671514e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.722 Order of pole = 3.553 x[1] = -1.381 y[1] (analytic) = 0.34397819728594322777445074421403 y[1] (numeric) = 0.34397819728594307387605727615365 absolute error = 1.5389839346806038297711838036975e-16 relative error = 4.4740740745299989103614244779410e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.721 Order of pole = 3.553 x[1] = -1.38 y[1] (analytic) = 0.3443051921222972042418399669467 y[1] (numeric) = 0.34430519212229704955116009944327 absolute error = 1.5469067986750342858115290023505e-16 relative error = 4.4928361060717695797110048344267e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.721 Order of pole = 3.553 x[1] = -1.379 y[1] (analytic) = 0.34463257170683761361243517030535 y[1] (numeric) = 0.34463257170683745812618686558595 absolute error = 1.5548624830471940122123531242931e-16 relative error = 4.5116527301715430807898645319269e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.72 Order of pole = 3.552 x[1] = -1.378 y[1] (analytic) = 0.34496033646051377012671083078868 y[1] (numeric) = 0.34496033646051361384160240471903 absolute error = 1.5628510842606965067917534574701e-16 relative error = 4.5305240025459849323945054298049e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.719 Order of pole = 3.552 x[1] = -1.377 y[1] (analytic) = 0.34528848680428254404413615553727 y[1] (numeric) = 0.34528848680428238695686627675882 absolute error = 1.5708726987877844598830989356956e-16 relative error = 4.5494499782675674200167794375371e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.718 Order of pole = 3.552 x[1] = -1.376 y[1] (analytic) = 0.34561702315910548784534052954058 y[1] (numeric) = 0.34561702315910532995259821890007 absolute error = 1.5789274231064050768924412827971e-16 relative error = 4.5684307117579178957587441890543e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.717 Order of pole = 3.552 x[1] = -1.375 y[1] (analytic) = 0.34594594594594594594594594594595 y[1] (numeric) = 0.3459459459459457872444105762205 absolute error = 1.5870153536972544392280956418180e-16 relative error = 4.5874662567811261133937139646300e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.716 Order of pole = 3.552 x[1] = -1.374 y[1] (analytic) = 0.34627525558576614785399373103277 y[1] (numeric) = 0.3462752555857659883403350269537 absolute error = 1.5951365870407906837175809047439e-16 relative error = 4.6065566664370104365315926728682e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.716 Order of pole = 3.552 x[1] = -1.373 y[1] (analytic) = 0.34660495249952428470269440291925 y[1] (numeric) = 0.34660495249952412437357244149767 absolute error = 1.6032912196142157795817319890799e-16 relative error = 4.6257019931543427579288628319220e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.715 Order of pole = 3.552 x[1] = -1.372 y[1] (analytic) = 0.34693503710817156909003102986972 y[1] (numeric) = 0.34693503710817140794209624102715 absolute error = 1.6114793478884256809903868184547e-16 relative error = 4.6449022886840319680757951193248e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.714 Order of pole = 3.552 x[1] = -1.371 y[1] (analytic) = 0.34726550983264927815654798636358 y[1] (numeric) = 0.34726550983264911618644115387071 absolute error = 1.6197010683249286321786856991467e-16 relative error = 4.6641576040922658112956626653766e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.713 Order of pole = 3.552 x[1] = -1.37 y[1] (analytic) = 0.34759637109388577983245854913275 y[1] (numeric) = 0.34759637109388561703681081185961 absolute error = 1.6279564773727314010577772477725e-16 relative error = 4.6834679897536109677031193641166e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.712 Order of pole = 3.553 x[1] = -1.369 y[1] (analytic) = 0.34792762131279354218500633750162 y[1] (numeric) = 0.3479276213127933785604391909823 absolute error = 1.6362456714651932162086812946582e-16 relative error = 4.7028334953440711994915596385361e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.712 Order of pole = 3.553 x[1] = -1.368 y[1] (analytic) = 0.34825926091026612579681718896269 y[1] (numeric) = 0.34825926091026596133994248727797 absolute error = 1.6445687470168471811032947241114e-16 relative error = 4.7222541698341034001523469498869e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.711 Order of pole = 3.553 x[1] = -1.367 y[1] (analytic) = 0.34859129030717515910577967845242 y[1] (numeric) = 0.34859129030717499381319963643353 absolute error = 1.6529258004201889383521216744066e-16 relative error = 4.7417300614815913853724095740318e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=137.3MB, alloc=4.5MB, time=9.58 Complex estimate of poles used Radius of convergence = 1.71 Order of pole = 3.553 x[1] = -1.366 y[1] (analytic) = 0.34892370992436729663679414478101 y[1] (numeric) = 0.34892370992436713050510134053777 absolute error = 1.6613169280424323557343467720773e-16 relative error = 4.7612612178247772645109855375155e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.709 Order of pole = 3.553 x[1] = -1.365 y[1] (analytic) = 0.34925652018266116005553178670904 y[1] (numeric) = 0.34925652018266099308130916448584 absolute error = 1.6697422262222320047224322020826e-16 relative error = 4.7808476856751502317213859418080e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.708 Order of pole = 3.553 x[1] = -1.364 y[1] (analytic) = 0.34958972150284426197414714091542 y[1] (numeric) = 0.3495897215028440941539680142782 absolute error = 1.6782017912663722011705907343284e-16 relative error = 4.8004895111102926159596701131835e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.707 Order of pole = 3.553 x[1] = -1.363 y[1] (analytic) = 0.34992331430566991243868906129222 y[1] (numeric) = 0.34992331430566974376911711664998 absolute error = 1.6866957194464223767943528983911e-16 relative error = 4.8201867394666830293092210880823e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.707 Order of pole = 3.553 x[1] = -1.362 y[1] (analytic) = 0.35025729901185410802775719043209 y[1] (numeric) = 0.35025729901185393850534649089624 absolute error = 1.6952241069953585490270941385751e-16 relative error = 4.8399394153324564532485109577741e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.706 Order of pole = 3.553 x[1] = -1.361 y[1] (analytic) = 0.35059167604207240349175285670862 y[1] (numeric) = 0.35059167604207223311304784629356 absolute error = 1.7037870501041506557989050752204e-16 relative error = 4.8597475825401211026989887230577e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.705 Order of pole = 3.553 x[1] = -1.36 y[1] (analytic) = 0.35092644581695676586187535092645 y[1] (numeric) = 0.35092644581695659462341085909489 absolute error = 1.7123846449183155207436643105060e-16 relative error = 4.8796112841592319079111458192179e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.704 Order of pole = 3.553 x[1] = -1.359 y[1] (analytic) = 0.35126160875709241095781664214275 y[1] (numeric) = 0.35126160875709223885611788869923 absolute error = 1.7210169875344352133016992057000e-16 relative error = 4.8995305624890204544795547364225e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.703 Order of pole = 3.554 x[1] = -1.358 y[1] (analytic) = 0.35159716528301462222290979001211 y[1] (numeric) = 0.35159716528301444925449239034805 absolute error = 1.7296841739966405671480876849624e-16 relative error = 4.9195054590509812220221736624133e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.703 Order of pole = 3.554 x[1] = -1.357 y[1] (analytic) = 0.35193311581520555181528860803062 y[1] (numeric) = 0.35193311581520537797665857872466 absolute error = 1.7383863002930596193405566692559e-16 relative error = 4.9395360145814139623156054073006e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.702 Order of pole = 3.554 x[1] = -1.356 y[1] (analytic) = 0.35226946077409100388341853557358 y[1] (numeric) = 0.35226946077409082917107230035051 absolute error = 1.7471234623522307315461648238442e-16 relative error = 4.9596222690239220579464337473802e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.701 Order of pole = 3.554 x[1] = -1.355 y[1] (analytic) = 0.3526062005800371999541611939246 y[1] (numeric) = 0.35260620058003702436458558997658 absolute error = 1.7558957560394801536726148684463e-16 relative error = 4.9797642615218667028193775822853e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.7 Order of pole = 3.554 x[1] = -1.354 y[1] (analytic) = 0.35294333565334752636133773994853 y[1] (numeric) = 0.35294333565334734989101002462215 absolute error = 1.7647032771532637891982210603332e-16 relative error = 4.9999620304107767461559469017789e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.699 Order of pole = 3.554 x[1] = -1.353 y[1] (analytic) = 0.35328086641425926364255889810285 y[1] (numeric) = 0.35328086641425908628794675595555 absolute error = 1.7735461214214729204643592959890e-16 relative error = 5.0202156132107140419226996024601e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.699 Order of pole = 3.555 x[1] = -1.352 y[1] (analytic) = 0.35361879328294029783189245462364 y[1] (numeric) = 0.35361879328294011958945400485327 absolute error = 1.7824243844977036511657506463827e-16 relative error = 5.0405250466185941459462309159083e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.698 Order of pole = 3.555 x[1] = -1.351 y[1] (analytic) = 0.35395711667948581357574204454833 y[1] (numeric) = 0.35395711667948563444192584879935 absolute error = 1.7913381619574898222472754987694e-16 relative error = 5.0608903665004622033028249863987e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.697 Order of pole = 3.555 x[1] = -1.35 y[1] (analytic) = 0.35429583702391496899911426040744 y[1] (numeric) = 0.35429583702391478897035933095752 absolute error = 1.8002875492944991563912876860615e-16 relative error = 5.0813116078837238689144094939087e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.696 Order of pole = 3.555 x[1] = -1.349 y[1] (analytic) = 0.35463495473616755224925446866641 y[1] (numeric) = 0.35463495473616737132199027699717 absolute error = 1.8092726419166923852567003255340e-16 relative error = 5.1017888049493311046392288346410e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=141.1MB, alloc=4.5MB, time=9.84 Complex estimate of poles used Radius of convergence = 1.695 Order of pole = 3.556 x[1] = -1.348 y[1] (analytic) = 0.35497447023610061964343524413724 y[1] (numeric) = 0.35497447023610043781408172989273 absolute error = 1.8182935351424451126105532780158e-16 relative error = 5.1223219910239226965156400817115e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.695 Order of pole = 3.556 x[1] = -1.347 y[1] (analytic) = 0.35531438394348511534748503149329 y[1] (numeric) = 0.35531438394348493261245261183007 absolute error = 1.8273503241966321654744533398324e-16 relative error = 5.1429111985719193362007907497043e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.694 Order of pole = 3.556 x[1] = -1.346 y[1] (analytic) = 0.35565469627800247251144852467319 y[1] (numeric) = 0.35565469627800228886713810400577 absolute error = 1.8364431042066741843923111159172e-16 relative error = 5.1635564591875731110428114416022e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.693 Order of pole = 3.556 x[1] = -1.345 y[1] (analytic) = 0.35599540765924119578857432739118 y[1] (numeric) = 0.35599540765924101123137730753656 absolute error = 1.8455719701985462029122930907654e-16 relative error = 5.1842578035869712476357040992873e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.692 Order of pole = 3.557 x[1] = -1.344 y[1] (analytic) = 0.35633651850669342516362972929827 y[1] (numeric) = 0.35633651850669323968992802002348 absolute error = 1.8547370170927479653649752984196e-16 relative error = 5.2050152615999939541304833190657e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.691 Order of pole = 3.557 x[1] = -1.343 y[1] (analytic) = 0.35667802923975148101634691075809 y[1] (numeric) = 0.35667802923975129462251294073451 absolute error = 1.8639383397002357310114392783611e-16 relative error = 5.2258288621622262070144907213379e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.691 Order of pole = 3.557 x[1] = -1.342 y[1] (analytic) = 0.35701994027770439034560958298643 y[1] (numeric) = 0.3570199402777042030280063111549 absolute error = 1.8731760327183153116296062902065e-16 relative error = 5.2466986333068233285233085530418e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.69 Order of pole = 3.557 x[1] = -1.341 y[1] (analytic) = 0.35736225203973439407979398780894 y[1] (numeric) = 0.35736225203973420583477491515934 absolute error = 1.8824501907264960886045781736460e-16 relative error = 5.2676246021563302013165076163284e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.689 Order of pole = 3.558 x[1] = -1.34 y[1] (analytic) = 0.35770496494491343539848333094863 y[1] (numeric) = 0.35770496494491324622239251271806 absolute error = 1.8917609081823057545892604500157e-16 relative error = 5.2886067949144539675297365140639e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.688 Order of pole = 3.558 x[1] = -1.339 y[1] (analytic) = 0.35804807941219962899058011307874 y[1] (numeric) = 0.35804807941219943887975217137219 absolute error = 1.9011082794170655238052044927031e-16 relative error = 5.3096452368577900598115555369647e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.687 Order of pole = 3.558 x[1] = -1.338 y[1] (analytic) = 0.35839159586043371117364646245991 y[1] (numeric) = 0.35839159586043352012440659929736 absolute error = 1.9104923986316255540605416391534e-16 relative error = 5.3307399523275014124641019453979e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.687 Order of pole = 3.559 x[1] = -1.337 y[1] (analytic) = 0.35873551470833547079910847049885 y[1] (numeric) = 0.35873551470833527880777248129281 absolute error = 1.9199133598920603225722153548303e-16 relative error = 5.3518909647209507013323077844489e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.686 Order of pole = 3.559 x[1] = -1.336 y[1] (analytic) = 0.35907983637450016086776669577607 y[1] (numeric) = 0.3590798363744999679306409832437 absolute error = 1.9293712571253236966935719638089e-16 relative error = 5.3730982964832854616271417877237e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.685 Order of pole = 3.559 x[1] = -1.335 y[1] (analytic) = 0.35942456127739489077986144183163 y[1] (numeric) = 0.35942456127739469689324303034528 absolute error = 1.9388661841148634396658716179489e-16 relative error = 5.3943619690989759334243796622478e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.684 Order of pole = 3.56 x[1] = -1.334 y[1] (analytic) = 0.35976968983535499914374813819186 y[1] (numeric) = 0.35976968983535480430392468857237 absolute error = 1.9483982344961948905335562986983e-16 relative error = 5.4156820030833054851518896113846e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.684 Order of pole = 3.56 x[1] = -1.333 y[1] (analytic) = 0.36011522246658040706704517177316 y[1] (numeric) = 0.3601152224665802112702949965298 absolute error = 1.9579675017524335563882895843132e-16 relative error = 5.4370584179738134659655210754939e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.683 Order of pole = 3.561 x[1] = -1.332 y[1] (analytic) = 0.36046115958913195185392383599882 y[1] (numeric) = 0.36046115958913175509651591502019 absolute error = 1.9675740792097863541359941766238e-16 relative error = 5.4584912323216903385165743086501e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.682 Order of pole = 3.561 x[1] = -1.331 y[1] (analytic) = 0.36080750162092770103201769688634 y[1] (numeric) = 0.36080750162092750331021169358622 absolute error = 1.9772180600330012380144899399853e-16 relative error = 5.4799804636831249442326777525556e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=144.9MB, alloc=4.5MB, time=10.11 Complex estimate of poles used Radius of convergence = 1.681 Order of pole = 3.561 x[1] = -1.33 y[1] (analytic) = 0.36115424897973924663223662826393 y[1] (numeric) = 0.36115424897973904794228290618644 absolute error = 1.9868995372207749481270113182439e-16 relative error = 5.5015261286106037538688816390856e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.68 Order of pole = 3.562 x[1] = -1.329 y[1] (analytic) = 0.36150140208318797964457905149985 y[1] (numeric) = 0.36150140208318777998271869138799 absolute error = 1.9966186036011186142989940184256e-16 relative error = 5.5231282426441619567370635125235e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.68 Order of pole = 3.562 x[1] = -1.328 y[1] (analytic) = 0.36184896134874134457284453810704 y[1] (numeric) = 0.36184896134874114393530935543894 absolute error = 2.0063753518266809486122040494379e-16 relative error = 5.5447868203025862426895093157617e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.679 Order of pole = 3.563 x[1] = -1.327 y[1] (analytic) = 0.36219692719370907401095790583532 y[1] (numeric) = 0.36219692719370887239397046883244 absolute error = 2.0161698743700287590216765740403e-16 relative error = 5.5665018750745691316169584818885e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.678 Order of pole = 3.563 x[1] = -1.326 y[1] (analytic) = 0.36254530003523940316342526998748 y[1] (numeric) = 0.36254530003523920056319891809903 absolute error = 2.0260022635188845155171783076691e-16 relative error = 5.5882734194098147059226605137644e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.677 Order of pole = 3.564 x[1] = -1.325 y[1] (analytic) = 0.3628940802903152642322522113858 y[1] (numeric) = 0.36289408029031506064499107425373 absolute error = 2.0358726113713206993521478694724e-16 relative error = 5.6101014647100956021522624728149e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.676 Order of pole = 3.564 x[1] = -1.324 y[1] (analytic) = 0.36324326837575046059246430045158 y[1] (numeric) = 0.36324326837575025601436331736052 absolute error = 2.0457810098309106649294478210429e-16 relative error = 5.6319860213202611186948115445834e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.676 Order of pole = 3.564 x[1] = -1.323 y[1] (analytic) = 0.363592864708185820678180683111 y[1] (numeric) = 0.36359286470818561510542562292743 absolute error = 2.0557275506018357430049261645101e-16 relative error = 5.6539270985191962972229955731109e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.675 Order of pole = 3.565 x[1] = -1.322 y[1] (analytic) = 0.36394286970408533150100229866317 y[1] (numeric) = 0.36394286970408512492976978026833 absolute error = 2.0657123251839483129468816621982e-16 relative error = 5.6759247045107318363111395931153e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.674 Order of pole = 3.565 x[1] = -1.321 y[1] (analytic) = 0.36429328377973225172228757238963 y[1] (numeric) = 0.36429328377973204414874508561057 absolute error = 2.0757354248677905708722061489554e-16 relative error = 5.6979788464145046964576116393348e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.673 Order of pole = 3.566 x[1] = -1.32 y[1] (analytic) = 0.36464410735122520420070011668611 y[1] (numeric) = 0.36464410735122499562100604372924 absolute error = 2.0857969407295687195683895301885e-16 relative error = 5.7200895302567692565443514475891e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.673 Order of pole = 3.566 x[1] = -1.319 y[1] (analytic) = 0.36499534083447424793622509408667 y[1] (numeric) = 0.36499534083447403834652873147844 absolute error = 2.0958969636260823052048727340468e-16 relative error = 5.7422567609611588825904073267047e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.672 Order of pole = 3.567 x[1] = -1.318 y[1] (analytic) = 0.36534698464519692933166345404885 y[1] (numeric) = 0.36534698464519671872810503508801 absolute error = 2.1060355841896084249375757165191e-16 relative error = 5.7644805423393977704988369955017e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.671 Order of pole = 3.567 x[1] = -1.317 y[1] (analytic) = 0.36569903919891431269242626318848 y[1] (numeric) = 0.36569903919891410107113698091443 absolute error = 2.1162128928227405286169687809956e-16 relative error = 5.7867608770819629253572863449760e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.67 Order of pole = 3.568 x[1] = -1.316 y[1] (analytic) = 0.36605150491094698988526481630071 y[1] (numeric) = 0.36605150491094677724236684698256 absolute error = 2.1264289796931815369229549381143e-16 relative error = 5.8090977667486961407321959854172e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.669 Order of pole = 3.568 x[1] = -1.315 y[1] (analytic) = 0.3664043821964110690763861535784 y[1] (numeric) = 0.3664043821964108554079926807293 absolute error = 2.1366839347284909973692496732266e-16 relative error = 5.8314912117593658422950904394119e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.669 Order of pole = 3.569 x[1] = -1.314 y[1] (analytic) = 0.3667576714702141424692180286335 y[1] (numeric) = 0.36675767147021392777143326755491 absolute error = 2.1469778476107859987460451054558e-16 relative error = 5.8539412113841786610369716003553e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.668 Order of pole = 3.569 memory used=148.7MB, alloc=4.5MB, time=10.38 x[1] = -1.313 y[1] (analytic) = 0.36711137314705123296190228302892 y[1] (numeric) = 0.36711137314705101723082150588936 absolute error = 2.1573108077713955637026928495475e-16 relative error = 5.8764477637342406022636605386891e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.667 Order of pole = 3.57 x[1] = -1.312 y[1] (analytic) = 0.36746548764140071964441099691917 y[1] (numeric) = 0.36746548764140050287612055837235 absolute error = 2.1676829043854682383121006180128e-16 relative error = 5.8990108657519676775212051442255e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.666 Order of pole = 3.57 x[1] = -1.311 y[1] (analytic) = 0.36782001536752024205499571305772 y[1] (numeric) = 0.36782001536752002424557307640446 absolute error = 2.1780942263665325966056803834977e-16 relative error = 5.9216305132014458675763919779032e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.666 Order of pole = 3.571 x[1] = -1.31 y[1] (analytic) = 0.36817495673944258311549648392916 y[1] (numeric) = 0.36817495673944236426101024782813 absolute error = 2.1885448623610103772221814011018e-16 relative error = 5.9443067006587402855731669035327e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.665 Order of pole = 3.571 x[1] = -1.309 y[1] (analytic) = 0.36853031217097153066485448027828 y[1] (numeric) = 0.36853031217097131076136440601009 absolute error = 2.1990349007426819684757622084982e-16 relative error = 5.9670394215021534105015797132778e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.664 Order of pole = 3.572 x[1] = -1.308 y[1] (analytic) = 0.36888608207567771750998943510261 y[1] (numeric) = 0.36888608207567749655354647439221 absolute error = 2.2095644296071039573183765346263e-16 relative error = 5.9898286679024322621519234861631e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.663 Order of pole = 3.573 x[1] = -1.307 y[1] (analytic) = 0.36924226686689443991302129161683 y[1] (numeric) = 0.36924226686689421789966761501899 absolute error = 2.2201335367659784568491455430716e-16 relative error = 6.0126744308129243897832415678781e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.662 Order of pole = 3.573 x[1] = -1.306 y[1] (analytic) = 0.36959886695771345443363408825134 y[1] (numeric) = 0.36959886695771323135940311410395 absolute error = 2.2307423097414739262090417485671e-16 relative error = 6.0355766999596825478125268804261e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.662 Order of pole = 3.574 x[1] = -1.305 y[1] (analytic) = 0.36995588276098075304519935997632 y[1] (numeric) = 0.3699558827609805289061157839266 absolute error = 2.2413908357604971958930990716890e-16 relative error = 6.0585354638315179329289441182522e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.661 Order of pole = 3.574 x[1] = -1.304 y[1] (analytic) = 0.37031331468929231644309617481158 y[1] (numeric) = 0.37031331468929209123517599991994 absolute error = 2.2520792017489164107146717136939e-16 relative error = 6.0815507096700018581564709304064e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.66 Order of pole = 3.575 x[1] = -1.303 y[1] (analytic) = 0.37067116315498984546348536905318 y[1] (numeric) = 0.37067116315498961918273593647972 absolute error = 2.2628074943257346018671768109966e-16 relative error = 6.1046224234594157405286864052979e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.659 Order of pole = 3.575 x[1] = -1.302 y[1] (analytic) = 0.37102942857015647053061660638675 y[1] (numeric) = 0.37102942857015624317303662666539 absolute error = 2.2735757997972135987484592478873e-16 relative error = 6.1277505899166492802012423587430e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.659 Order of pole = 3.576 x[1] = -1.301 y[1] (analytic) = 0.37138811134661243905056857662907 y[1] (numeric) = 0.37138811134661221061214816153427 absolute error = 2.2843842041509479904416007740135e-16 relative error = 6.1509351924810467100110446857096e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.658 Order of pole = 3.577 x[1] = -1.3 y[1] (analytic) = 0.37174721189591078066914498141264 y[1] (numeric) = 0.37174721189591055114586567642375 absolute error = 2.2952327930498888459838510396141e-16 relative error = 6.1741762133042009956965592965620e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.657 Order of pole = 3.577 x[1] = -1.299 y[1] (analytic) = 0.37210673062933295031147193887328 y[1] (numeric) = 0.37210673062933271969930675624159 absolute error = 2.3061216518263169018025788346651e-16 relative error = 6.1974736332396958682211521628579e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.656 Order of pole = 3.578 x[1] = -1.298 y[1] (analytic) = 0.37246666795788444892066608959164 y[1] (numeric) = 0.37246666795788421721557954201515 absolute error = 2.3170508654757649239539233807004e-16 relative error = 6.2208274318327955708911893081979e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.655 Order of pole = 3.578 x[1] = -1.297 y[1] (analytic) = 0.37282702429229042181276701405446 y[1] (numeric) = 0.37282702429229018901071514896557 absolute error = 2.3280205186508889520663658495073e-16 relative error = 6.2442375873100822052329750788410e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.655 Order of pole = 3.579 x[1] = -1.296 y[1] (analytic) = 0.37318780004299123456495259022188 y[1] (numeric) = 0.37318780004299100066188302469307 absolute error = 2.3390306956552881311679404513730e-16 relative error = 6.2677040765690405608877119205464e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.654 Order of pole = 3.58 memory used=152.5MB, alloc=4.5MB, time=10.65 x[1] = -1.295 y[1] (analytic) = 0.37354899562013802635388164100074 y[1] (numeric) = 0.37354899562013779134573359727345 absolute error = 2.3500814804372728368624647502762e-16 relative error = 6.2912268751675903161017396981083e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.653 Order of pole = 3.58 x[1] = -1.294 y[1] (analytic) = 0.37391061143358824066083465822327 y[1] (numeric) = 0.37391061143358800454353899986519 absolute error = 2.3611729565835807986171948667851e-16 relative error = 6.3148059573135654967305761707452e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.652 Order of pole = 3.581 x[1] = -1.293 y[1] (analytic) = 0.37427264789290113326015055491534 y[1] (numeric) = 0.37427264789290089602962982361125 absolute error = 2.3723052073130409252319097192811e-16 relative error = 6.3384412958541410830399527515516e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.652 Order of pole = 3.581 x[1] = -1.292 y[1] (analytic) = 0.37463510540733325740728530411379 y[1] (numeric) = 0.37463510540733301905945375709534 absolute error = 2.3834783154701845358778085000074e-16 relative error = 6.3621328622652066549753426279639e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.651 Order of pole = 3.582 x[1] = -1.291 y[1] (analytic) = 0.37499798438583392614264698327246 y[1] (numeric) = 0.37499798438583368667341063139209 absolute error = 2.3946923635188036994239785418641e-16 relative error = 6.3858806266406869679836345219968e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.65 Order of pole = 3.583 x[1] = -1.29 y[1] (analytic) = 0.37536128523704065162719117150257 y[1] (numeric) = 0.37536128523704041103244781795693 absolute error = 2.4059474335354563841097702666445e-16 relative error = 6.4096845576818093529068389673676e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.649 Order of pole = 3.583 x[1] = -1.289 y[1] (analytic) = 0.37572500836927456142559085575504 y[1] (numeric) = 0.37572500836927431970123013546322 absolute error = 2.4172436072029181189734179979471e-16 relative error = 6.4335446226863178349282504433142e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.649 Order of pole = 3.584 x[1] = -1.288 y[1] (analytic) = 0.37608915419053579165262600491022 y[1] (numeric) = 0.37608915419053554879452942455223 absolute error = 2.4285809658035798678108883916947e-16 relative error = 6.4574607875376338680365548237664e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.648 Order of pole = 3.584 x[1] = -1.287 y[1] (analytic) = 0.37645372310849885689826978104322 y[1] (numeric) = 0.37645372310849861290231075976404 absolute error = 2.4399595902127918158144427567612e-16 relative error = 6.4814330166939635829831954913349e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.647 Order of pole = 3.585 x[1] = -1.286 y[1] (analytic) = 0.37681871553050799684678098844071 y[1] (numeric) = 0.37681871553050775170882489922543 absolute error = 2.4513795608921527684279886500717e-16 relative error = 6.5054612731773514482431225676058e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.646 Order of pole = 3.586 x[1] = -1.285 y[1] (analytic) = 0.37718413186357249950494582692906 y[1] (numeric) = 0.37718413186357225322085003865457 absolute error = 2.4628409578827448613561952632372e-16 relative error = 6.5295455185626802450490787867761e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.646 Order of pole = 3.586 x[1] = -1.284 y[1] (analytic) = 0.37754997251436200095444633051631 y[1] (numeric) = 0.37754997251436175352006025068498 absolute error = 2.4743438607983132800767841023408e-16 relative error = 6.5536857129666172591550546733695e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.645 Order of pole = 3.587 x[1] = -1.283 y[1] (analytic) = 0.37791623788920176154316804914725 y[1] (numeric) = 0.37791623788920151295433316730818 absolute error = 2.4858883488183906866306115488968e-16 relative error = 6.5778818150365065935957082828087e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.644 Order of pole = 3.588 x[1] = -1.282 y[1] (analytic) = 0.37828292839406791843009558453035 y[1] (numeric) = 0.37828292839406766868264551639374 absolute error = 2.4974745006813660509023657635564e-16 relative error = 6.6021337819392075083456255527396e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.643 Order of pole = 3.588 x[1] = -1.281 y[1] (analytic) = 0.37865004443458271439828153463834 y[1] (numeric) = 0.37865004443458246348804206688858 absolute error = 2.5091023946774975830561421919537e-16 relative error = 6.6264415693498786944455323394042e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.642 Order of pole = 3.589 x[1] = -1.28 y[1] (analytic) = 0.37901758641600970285021224984839 y[1] (numeric) = 0.37901758641600945077300138566145 absolute error = 2.5207721086418694632550772594933e-16 relative error = 6.6508051314407083918521958414471e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.642 Order of pole = 3.589 x[1] = -1.279 y[1] (analytic) = 0.37938555474324892889973257112246 y[1] (numeric) = 0.37938555474324867565136057639326 absolute error = 2.5324837199472920642728487888518e-16 relative error = 6.6752244208695902619850100244559e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.641 Order of pole = 3.59 x[1] = -1.278 y[1] (analytic) = 0.37975394982083208647453142160132 y[1] (numeric) = 0.37975394982083183205080087188678 absolute error = 2.5442373054971453620974368315762e-16 relative error = 6.6996993887687449276853868496002e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=156.4MB, alloc=4.5MB, time=10.92 Complex estimate of poles used Radius of convergence = 1.64 Order of pole = 3.591 x[1] = -1.277 y[1] (analytic) = 0.38012277205291765134303077207877 y[1] (numeric) = 0.38012277205291739573973660026224 absolute error = 2.5560329417181652291343250820119e-16 relative error = 6.7242299847332870950753138886761e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.639 Order of pole = 3.591 x[1] = -1.276 y[1] (analytic) = 0.38049202184328598997936211273522 y[1] (numeric) = 0.38049202184328573319229165741799 absolute error = 2.5678707045531723041375584804398e-16 relative error = 6.7488161568097381735990318968884e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.639 Order of pole = 3.592 x[1] = -1.275 y[1] (analytic) = 0.3808616995953344441799571530588 y[1] (numeric) = 0.38086169959533418620489020768448 absolute error = 2.5797506694537431325330072056889e-16 relative error = 6.7734578514844843123569770444370e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.638 Order of pole = 3.593 x[1] = -1.274 y[1] (analytic) = 0.38123180571207239134512305400225 y[1] (numeric) = 0.38123180571207213217783191671992 absolute error = 2.5916729113728232703490737653603e-16 relative error = 6.7981550136721797726941670161462e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.637 Order of pole = 3.593 x[1] = -1.273 y[1] (analytic) = 0.38160234059611628033881708616848 y[1] (numeric) = 0.38160234059611601997506661044028 absolute error = 2.6036375047572820445361736570873e-16 relative error = 6.8229075867040955588863346174334e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.636 Order of pole = 3.594 x[1] = -1.272 y[1] (analytic) = 0.38197330464968464283968122035887 y[1] (numeric) = 0.38197330464968438127522886631801 absolute error = 2.6156445235404086620378790395093e-16 relative error = 6.8477155123164132306765747193707e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.636 Order of pole = 3.594 x[1] = -1.271 y[1] (analytic) = 0.38234469827459308009624380744968 y[1] (numeric) = 0.38234469827459281732683969401474 absolute error = 2.6276940411343493595738995753463e-16 relative error = 6.8725787306384638233533194792433e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.635 Order of pole = 3.595 x[1] = -1.27 y[1] (analytic) = 0.38271652187224922499904320869532 y[1] (numeric) = 0.38271652187224896102043016644679 absolute error = 2.6397861304224852857083482819692e-16 relative error = 6.8974971801809118030273432259574e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.634 Order of pole = 3.596 x[1] = -1.269 y[1] (analytic) = 0.38308877584364767938227701072763 y[1] (numeric) = 0.38308877584364741419019063555255 absolute error = 2.6519208637517508064062686866386e-16 relative error = 6.9224707978238839867614739351226e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.633 Order of pole = 3.596 x[1] = -1.268 y[1] (analytic) = 0.38346146058936492646743031738338 y[1] (numeric) = 0.38346146058936466005759902489419 absolute error = 2.6640983129248919249274513386083e-16 relative error = 6.9474995188050433592320058596548e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.633 Order of pole = 3.597 x[1] = -1.267 y[1] (analytic) = 0.38383457650955421836118756882634 y[1] (numeric) = 0.38383457650955395072933264955989 absolute error = 2.6763185491926645065694139642667e-16 relative error = 6.9725832767076077196557219375504e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.632 Order of pole = 3.597 x[1] = -1.266 y[1] (analytic) = 0.38420812400394043851978441313746 y[1] (numeric) = 0.38420812400394016966162008854026 absolute error = 2.6885816432459719984513341476570e-16 relative error = 6.9977220034483130948012006608191e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.631 Order of pole = 3.598 x[1] = -1.265 y[1] (analytic) = 0.38458210347181493909180936265131 y[1] (numeric) = 0.38458210347181466900304284185708 absolute error = 2.7008876652079423342279829740553e-16 relative error = 7.0229156292653218560179570287130e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.63 Order of pole = 3.599 x[1] = -1.264 y[1] (analytic) = 0.38495651531203035305131932296928 y[1] (numeric) = 0.38495651531203008172765086037491 absolute error = 2.7132366846259437133375919157039e-16 relative error = 7.0481640827060754803622091690563e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.63 Order of pole = 3.599 x[1] = -1.263 y[1] (analytic) = 0.38533135992299538103298860305437 y[1] (numeric) = 0.38533135992299510847011155670047 absolute error = 2.7256287704635389441203754392977e-16 relative error = 7.0734672906150918980739306084267e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.629 Order of pole = 3.6 x[1] = -1.262 y[1] (analytic) = 0.38570663770266955278086771650871 y[1] (numeric) = 0.3857066377026692789744686072709 absolute error = 2.7380639910923780398954132096207e-16 relative error = 7.0988251781217073708666036854440e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.628 Order of pole = 3.6 x[1] = -1.261 y[1] (analytic) = 0.38608234904855796312218618357984 y[1] (numeric) = 0.38608234904855768806794475517696 absolute error = 2.7505424142840287568530559663075e-16 relative error = 7.1242376686277628477289941725082e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.627 Order of pole = 3.601 x[1] = -1.26 y[1] (analytic) = 0.38645849435770598237749265728861 y[1] (numeric) = 0.38645849435770570607108193711413 absolute error = 2.7630641072017447624082485688736e-16 relative error = 7.1497046837952347472075839968173e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=160.2MB, alloc=4.5MB, time=11.18 Complex estimate of poles used Radius of convergence = 1.626 Order of pole = 3.602 x[1] = -1.259 y[1] (analytic) = 0.38683507402669394111828604210081 y[1] (numeric) = 0.3868350740266936635553724028837 absolute error = 2.7756291363921711224674555570030e-16 relative error = 7.1752261435338101174392924787530e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.626 Order of pole = 3.602 x[1] = -1.258 y[1] (analytic) = 0.38721208845163178918315286668598 y[1] (numeric) = 0.3872120884516315103593960889873 absolute error = 2.7882375677769867958885249029029e-16 relative error = 7.2008019659884061275370524273405e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.625 Order of pole = 3.603 x[1] = -1.257 y[1] (analytic) = 0.38758953802815372886328903055717 y[1] (numeric) = 0.38758953802815344877434236610879 absolute error = 2.8008894666444838242591333267481e-16 relative error = 7.2264320675266338462959526805431e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.624 Order of pole = 3.603 x[1] = -1.256 y[1] (analytic) = 0.38796742315141282216814818493321 y[1] (numeric) = 0.38796742315141254080965842082492 absolute error = 2.8135848976410829049857233491398e-16 relative error = 7.2521163627262062665852814184484e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.623 Order of pole = 3.604 x[1] = -1.255 y[1] (analytic) = 0.38834574421607557208182444830633 y[1] (numeric) = 0.38834574421607528944943197202782 absolute error = 2.8263239247627850355713727840714e-16 relative error = 7.2778547643622905362221742033035e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.623 Order of pole = 3.604 x[1] = -1.254 y[1] (analytic) = 0.38872450161631647772064391436244 y[1] (numeric) = 0.38872450161631619380998277970655 absolute error = 2.8391066113465589168681391394651e-16 relative error = 7.3036471833948043585859578265003e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.622 Order of pole = 3.605 x[1] = -1.253 y[1] (analytic) = 0.38910369574581256330230750164688 y[1] (numeric) = 0.3891036957458122781090054954805 absolute error = 2.8519330200616638030174048022247e-16 relative error = 7.3294935289556565287289574983606e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.621 Order of pole = 3.606 x[1] = -1.252 y[1] (analytic) = 0.3894833269977378808367971383881 y[1] (numeric) = 0.38948332699773759435647584829735 absolute error = 2.8648032129009074857409272737977e-16 relative error = 7.3553937083359315732697737391847e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.62 Order of pole = 3.606 x[1] = -1.251 y[1] (analytic) = 0.38986339576475798644912809000854 y[1] (numeric) = 0.38986339576475769867740297282463 absolute error = 2.8777172511718391006159883593177e-16 relative error = 7.3813476269730184649191107576382e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.62 Order of pole = 3.607 x[1] = -1.25 y[1] (analytic) = 0.39024390243902439024390243902439 y[1] (numeric) = 0.39024390243902410117638289023675 absolute error = 2.8906751954878764429605563187919e-16 relative error = 7.4073551884376833850864255669041e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.619 Order of pole = 3.607 x[1] = -1.249 y[1] (analytic) = 0.39062484741216897962149233535456 y[1] (numeric) = 0.39062484741216868925378175941781 absolute error = 2.9036771057593674809690477495411e-16 relative error = 7.4334162944210865106482432078729e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.618 Order of pole = 3.608 x[1] = -1.248 y[1] (analytic) = 0.39100623107529841595555666775106 y[1] (numeric) = 0.39100623107529812428325254929248 absolute error = 2.9167230411845857537764265541912e-16 relative error = 7.4595308447217428036262260180503e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.617 Order of pole = 3.608 x[1] = -1.247 y[1] (analytic) = 0.39138805381898850454147128248863 y[1] (numeric) = 0.3913880538189882115601652584227 absolute error = 2.9298130602406593421883339240927e-16 relative error = 7.4856987372324267852252728710622e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.617 Order of pole = 3.609 x[1] = -1.246 y[1] (analytic) = 0.39177031603327853772513081210852 y[1] (numeric) = 0.39177031603327824343040874466521 absolute error = 2.9429472206744330998980370124297e-16 relative error = 7.5119198679270212784193378428190e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.616 Order of pole = 3.609 x[1] = -1.245 y[1] (analytic) = 0.3921530181076656111214595935334 y[1] (numeric) = 0.39215301810766531550890164420701 absolute error = 2.9561255794932638331175490899358e-16 relative error = 7.5381941308473101060455781180636e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.615 Order of pole = 3.61 x[1] = -1.244 y[1] (analytic) = 0.39253616043109891283185007002845 y[1] (numeric) = 0.39253616043109861589703077445364 absolute error = 2.9693481929557481166806477165380e-16 relative error = 7.5645214180897147341761505611985e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.614 Order of pole = 3.61 x[1] = -1.243 y[1] (analytic) = 0.39291974339197398556962950418636 y[1] (numeric) = 0.39291974339197368730811784794812 absolute error = 2.9826151165623824348300401286478e-16 relative error = 7.5909016197919748533817587993750e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.614 Order of pole = 3.611 x[1] = -1.242 y[1] (analytic) = 0.39330376737812696160253979840822 y[1] (numeric) = 0.39330376737812666200989929379269 absolute error = 2.9959264050461553350799400098747e-16 relative error = 7.6173346241197728933821925912671e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=164.0MB, alloc=4.5MB, time=11.45 Complex estimate of poles used Radius of convergence = 1.613 Order of pole = 3.611 x[1] = -1.241 y[1] (analytic) = 0.39368823277682877042110074442508 y[1] (numeric) = 0.39368823277682846949288950811795 absolute error = 3.0092821123630712837491735442818e-16 relative error = 7.6438203172533024694968844855329e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.612 Order of pole = 3.612 x[1] = -1.24 y[1] (analytic) = 0.39407313997477931904161412358134 y[1] (numeric) = 0.39407313997477901677338495532075 absolute error = 3.0226822916826059119889747079460e-16 relative error = 7.6703585833737807622632222188837e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.611 Order of pole = 3.612 x[1] = -1.239 y[1] (analytic) = 0.39445848935810164485245477434805 y[1] (numeric) = 0.39445848935810134123975523653881 absolute error = 3.0361269953780923413842128132428e-16 relative error = 7.6969493046499048345822869713209e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.611 Order of pole = 3.613 x[1] = -1.238 y[1] (analytic) = 0.39484428131233604091218505245901 y[1] (numeric) = 0.39484428131233573595055755075518 absolute error = 3.0496162750170382784872751865307e-16 relative error = 7.7235923612242518937811265775159e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.61 Order of pole = 3.613 x[1] = -1.237 y[1] (analytic) = 0.39523051622243415360792105191392 y[1] (numeric) = 0.39523051622243384729290291677657 absolute error = 3.0631501813513735679505634822778e-16 relative error = 7.7502876311996235090479092553912e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.609 Order of pole = 3.613 x[1] = -1.236 y[1] (analytic) = 0.39561719447275305258227255176255 y[1] (numeric) = 0.39561719447275274490939612099976 absolute error = 3.0767287643076278942569156205400e-16 relative error = 7.7770349906253337978016285863764e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.608 Order of pole = 3.614 x[1] = -1.235 y[1] (analytic) = 0.39600431644704927283707392410577 y[1] (numeric) = 0.39600431644704896380186662640194 absolute error = 3.0903520729770383224076019560719e-16 relative error = 7.8038343134834415977017366495218e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.607 Order of pole = 3.614 x[1] = -1.234 y[1] (analytic) = 0.39639188252847282892202020330147 y[1] (numeric) = 0.39639188252847251852000464274283 absolute error = 3.1040201556055863683152325065438e-16 relative error = 7.8306854716749266441854626972784e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.607 Order of pole = 3.615 x[1] = -1.233 y[1] (analytic) = 0.39677989309956120111622119526769 y[1] (numeric) = 0.39677989309956088934291523687126 absolute error = 3.1177330595839642900643235424454e-16 relative error = 7.8575883350058097766419239164661e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.606 Order of pole = 3.615 x[1] = -1.232 y[1] (analytic) = 0.39716834854223329351058691949874 y[1] (numeric) = 0.39716834854223298036150377575171 absolute error = 3.1314908314374702916457814415248e-16 relative error = 7.8845427711732171995927480122258e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.605 Order of pole = 3.615 x[1] = -1.231 y[1] (analytic) = 0.39755724923778336389885984556491 y[1] (numeric) = 0.39755724923778304936950816398168 absolute error = 3.1452935168158323312435475296058e-16 relative error = 7.9115486457513888285491009576169e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.604 Order of pole = 3.616 x[1] = -1.23 y[1] (analytic) = 0.39794659556687492538501333121095 y[1] (numeric) = 0.39794659556687460947089728291493 absolute error = 3.1591411604829602266524909983177e-16 relative error = 7.9386058221776307535550446296725e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.604 Order of pole = 3.616 x[1] = -1.229 y[1] (analytic) = 0.39833638790953461961464141160856 y[1] (numeric) = 0.39833638790953430231126078094598 absolute error = 3.1730338063066257509367224898511e-16 relative error = 7.9657141617382118568073365441443e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.603 Order of pole = 3.616 x[1] = -1.228 y[1] (analytic) = 0.39872662664514606153787264990526 y[1] (numeric) = 0.39872662664514574284072292509822 absolute error = 3.1869714972480704119972164134872e-16 relative error = 7.9928735235542046241624268095633e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.602 Order of pole = 3.617 x[1] = -1.227 y[1] (analytic) = 0.39911731215244365561125015914803 y[1] (numeric) = 0.39911731215244333551582262399397 absolute error = 3.2009542753515406103073666279756e-16 relative error = 8.0200837645672701938028060000250e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.601 Order of pole = 3.617 x[1] = -1.226 y[1] (analytic) = 0.39950844480950638334593116629299 y[1] (numeric) = 0.39950844480950606184771299291801 absolute error = 3.2149821817337498696952521953476e-16 relative error = 8.0473447395253876888373130841219e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.601 Order of pole = 3.617 x[1] = -1.225 y[1] (analytic) = 0.39990002499375156210947263184204 y[1] (numeric) = 0.39990002499375123920394697451526 absolute error = 3.2290552565732678367023551929332e-16 relative error = 8.0746563009685278841538269543287e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.6 Order of pole = 3.618 x[1] = -1.224 y[1] (analytic) = 0.40029205308192857508838448532049 y[1] (numeric) = 0.40029205308192825077103057533692 absolute error = 3.2431735390998357447306520806843e-16 relative error = 8.1020182992142712614282414923156e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=167.8MB, alloc=4.5MB, time=11.72 Complex estimate of poles used Radius of convergence = 1.599 Order of pole = 3.618 x[1] = -1.223 y[1] (analytic) = 0.40068452945011257231854900912719 y[1] (numeric) = 0.40068452945011224658484225076639 absolute error = 3.2573370675836080399037982036457e-16 relative error = 8.1294305823433705098210663869865e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.598 Order of pole = 3.618 x[1] = -1.222 y[1] (analytic) = 0.40107745447369814269052382319864 y[1] (numeric) = 0.40107745447369781553593589076665 absolute error = 3.2715458793243198663139493431775e-16 relative error = 8.1568929961852575335627088741550e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.598 Order of pole = 3.619 x[1] = -1.221 y[1] (analytic) = 0.4014708285273929568366668125344 y[1] (numeric) = 0.40147082852739262825666574849639 absolute error = 3.2858000106403801091040258406722e-16 relative error = 8.1844053843034950313407808290058e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.597 Order of pole = 3.619 x[1] = -1.22 y[1] (analytic) = 0.4018646519852113808069442211863 y[1] (numeric) = 0.40186465198521105079699453539733 absolute error = 3.3000994968578896946463380873074e-16 relative error = 8.2119675879811727161579476964558e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.596 Order of pole = 3.619 x[1] = -1.219 y[1] (analytic) = 0.40225892522046806044020803222577 y[1] (numeric) = 0.40225892522046772899577080226728 absolute error = 3.3144443722995848479228748549771e-16 relative error = 8.2395794462062482481271978973537e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.595 Order of pole = 3.619 x[1] = -1.218 y[1] (analytic) = 0.40265364860577147633765568603323 y[1] (numeric) = 0.40265364860577114345418865866273 absolute error = 3.3288346702737050080906291687077e-16 relative error = 8.2672407956568329565132717155856e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.594 Order of pole = 3.62 x[1] = -1.217 y[1] (analytic) = 0.40304882251301746934511418171617 y[1] (numeric) = 0.40304882251301713501807187543766 absolute error = 3.3432704230627851041275247114719e-16 relative error = 8.2949514706864224312146561588612e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.594 Order of pole = 3.62 x[1] = -1.216 y[1] (analytic) = 0.40344444731338273645072168142735 y[1] (numeric) = 0.40344444731338240067555549019016 absolute error = 3.3577516619123718934012370306280e-16 relative error = 8.3227113033090720678103365733884e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.593 Order of pole = 3.62 x[1] = -1.215 y[1] (analytic) = 0.40384052337731829700451291784874 y[1] (numeric) = 0.40384052337731795977667121588233 absolute error = 3.3722784170196640669849094139506e-16 relative error = 8.3505201231845176542697073135599e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.592 Order of pole = 3.62 x[1] = -1.214 y[1] (analytic) = 0.40423705107454292916635001430999 y[1] (numeric) = 0.40423705107454259048127826210241 absolute error = 3.3868507175220758265608779753105e-16 relative error = 8.3783777576032410914429936918113e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.591 Order of pole = 3.62 x[1] = -1.213 y[1] (analytic) = 0.4046340307740365764885777882623 y[1] (numeric) = 0.40463403077403623634171863968993 absolute error = 3.4014685914857236388064824182192e-16 relative error = 8.4062840314714813435135376474321e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.591 Order of pole = 3.621 x[1] = -1.212 y[1] (analytic) = 0.40503146284403372453972224562404 y[1] (numeric) = 0.40503146284403338292651565624045 absolute error = 3.4161320658938358742452897514496e-16 relative error = 8.4342387672961907187026626601030e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.59 Order of pole = 3.621 x[1] = -1.211 y[1] (analytic) = 0.4054293476520167474754928095078 y[1] (numeric) = 0.4054293476520164043913761459993 absolute error = 3.4308411666350850386730429846416e-16 relative error = 8.4622417851699365846728726555211e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.589 Order of pole = 3.621 x[1] = -1.21 y[1] (analytic) = 0.40582768556470922446329288584067 y[1] (numeric) = 0.40582768556470887990370103665644 absolute error = 3.4455959184918423064308140599086e-16 relative error = 8.4902929027557486272761689250207e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.588 Order of pole = 3.621 x[1] = -1.209 y[1] (analytic) = 0.40622647694806922586638967437292 y[1] (numeric) = 0.40622647694806887982675516153751 absolute error = 3.4603963451283540659986419700185e-16 relative error = 8.5183919352719117655416029633971e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.588 Order of pole = 3.621 x[1] = -1.208 y[1] (analytic) = 0.40662572216728256909384271066465 y[1] (numeric) = 0.40662572216728222156959580278064 absolute error = 3.4752424690788401896218286403082e-16 relative error = 8.5465386954767048400901367892790e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.587 Order of pole = 3.621 x[1] = -1.207 y[1] (analytic) = 0.40702542158675604402224149713719 y[1] (numeric) = 0.40702542158675569500881032358581 absolute error = 3.4901343117355137399595056571275e-16 relative error = 8.5747329936530851965057715142081e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.586 Order of pole = 3.621 x[1] = -1.206 y[1] (analytic) = 0.40742557557011060789525577362783 y[1] (numeric) = 0.40742557557011025738806643997565 absolute error = 3.5050718933365218280615367463930e-16 relative error = 8.6029746375933192895800460056698e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=171.6MB, alloc=4.5MB, time=11.99 Complex estimate of poles used Radius of convergence = 1.585 Order of pole = 3.622 x[1] = -1.205 y[1] (analytic) = 0.40782618448017454960695751470723 y[1] (numeric) = 0.4078261844801741976014342193265 absolute error = 3.5200552329538073383357499742558e-16 relative error = 8.6312634325835594387827173306245e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.584 Order of pole = 3.622 x[1] = -1.204 y[1] (analytic) = 0.40822724867897662327483164708264 y[1] (numeric) = 0.40822724867897626976639679899352 absolute error = 3.5350843484808912375633693938410e-16 relative error = 8.6595991813883668697950306810631e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.584 Order of pole = 3.622 x[1] = -1.203 y[1] (analytic) = 0.40862876852773915100835278065748 y[1] (numeric) = 0.40862876852773879599242711859996 absolute error = 3.5501592566205751864568112435081e-16 relative error = 8.6879816842351811814737865864142e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.583 Order of pole = 3.622 x[1] = -1.202 y[1] (analytic) = 0.40903074438687109477896796634822 y[1] (numeric) = 0.40903074438687073825097067909181 absolute error = 3.5652799728725641737312012755941e-16 relative error = 8.7164107387987363821947358033776e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.582 Order of pole = 3.622 x[1] = -1.201 y[1] (analytic) = 0.40943317661596109729729065784038 y[1] (numeric) = 0.40943317661596073925263950573949 absolute error = 3.5804465115210088941795373451635e-16 relative error = 8.7448861401854236441529961913648e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.581 Order of pole = 3.622 x[1] = -1.2 y[1] (analytic) = 0.40983606557377049180327868852459 y[1] (numeric) = 0.40983606557377013223739012632783 absolute error = 3.5956588856219675938018485291806e-16 relative error = 8.7734076809176009288765104112007e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.581 Order of pole = 3.622 x[1] = -1.199 y[1] (analytic) = 0.41023941161822628067513920448835 y[1] (numeric) = 0.41023941161822591958342850540964 absolute error = 3.6109171069907871066414758246481e-16 relative error = 8.8019751509178496419363681116381e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.58 Order of pole = 3.622 x[1] = -1.198 y[1] (analytic) = 0.41064321510641408276267614540712 y[1] (numeric) = 0.41064321510641372014055752646684 absolute error = 3.6262211861894028096272104751908e-16 relative error = 8.8305883374931784796154214580265e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.579 Order of pole = 3.622 x[1] = -1.197 y[1] (analytic) = 0.41104747639457104935077106340859 y[1] (numeric) = 0.41104747639457068519365781205287 absolute error = 3.6415711325135572234089683281880e-16 relative error = 8.8592470253191746351243488295307e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.578 Order of pole = 3.622 x[1] = -1.196 y[1] (analytic) = 0.41145219583807874865866584156786 y[1] (numeric) = 0.41145219583807838296197044357416 absolute error = 3.6569669539799369889074500054035e-16 relative error = 8.8879509964241025368324890123328e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.577 Order of pole = 3.622 x[1] = -1.195 y[1] (analytic) = 0.41185737379145601878069624489039 y[1] (numeric) = 0.4118573737914556515398305135676 absolute error = 3.6724086573132279510753383072044e-16 relative error = 8.9167000301729502959096982933500e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.577 Order of pole = 3.622 x[1] = -1.194 y[1] (analytic) = 0.41226301060835178897410823388175 y[1] (numeric) = 0.41226301060835142018448344057294 absolute error = 3.6878962479330880831895209471194e-16 relative error = 8.9454939032514240457554968320870e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.576 Order of pole = 3.622 x[1] = -1.193 y[1] (analytic) = 0.41266910664153786919957462068487 y[1] (numeric) = 0.41266910664153749885660162658108 absolute error = 3.7034297299410379868611067711565e-16 relative error = 8.9743323896498903606231901220983e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.575 Order of pole = 3.622 x[1] = -1.192 y[1] (analytic) = 0.41307566224290170782001797705282 y[1] (numeric) = 0.41307566224290133591910736632595 absolute error = 3.7190091061072687048631389575512e-16 relative error = 9.0032152606472669459297980293333e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.574 Order of pole = 3.622 x[1] = -1.191 y[1] (analytic) = 0.41348267776343911736333673905232 y[1] (numeric) = 0.41348267776343874389989895331566 absolute error = 3.7346343778573665858354147834584e-16 relative error = 9.0321422847948617978778197809131e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.574 Order of pole = 3.621 x[1] = -1.19 y[1] (analytic) = 0.41389015355324696825462522246596 y[1] (numeric) = 0.41389015355324659322407069657046 absolute error = 3.7503055452589549419322174169454e-16 relative error = 9.0611132279001610352024305010818e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.573 Order of pole = 3.621 x[1] = -1.189 y[1] (analytic) = 0.41429808996151585042347479265416 y[1] (numeric) = 0.41429808996151547382121409182894 absolute error = 3.7660226070082522425325734438580e-16 relative error = 9.0901278530105656110979657054824e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.572 Order of pole = 3.621 memory used=175.4MB, alloc=4.5MB, time=12.26 x[1] = -1.188 y[1] (analytic) = 0.41470648733652270269194275059884 y[1] (numeric) = 0.41470648733652232451338670894418 absolute error = 3.7817855604165465892343966361427e-16 relative error = 9.1191859203970771186708269221830e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.571 Order of pole = 3.621 x[1] = -1.187 y[1] (analytic) = 0.41511534602562340984877763059633 y[1] (numeric) = 0.4151153460256230300893374909377 absolute error = 3.7975944013965862195040935462190e-16 relative error = 9.1482871875379329086125567259416e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.57 Order of pole = 3.621 x[1] = -1.186 y[1] (analytic) = 0.4155246663752453673154945823894 y[1] (numeric) = 0.41552466637524498597058213750082 absolute error = 3.8134491244488857885524231751797e-16 relative error = 9.1774314091021907431871074036949e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.57 Order of pole = 3.621 x[1] = -1.185 y[1] (analytic) = 0.41593444873088001330990235938816 y[1] (numeric) = 0.41593444873087963037493009459334 absolute error = 3.8293497226479481812561580839510e-16 relative error = 9.2066183369332632160805866693870e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.569 Order of pole = 3.621 x[1] = -1.184 y[1] (analytic) = 0.41634469343707532841269418316502 y[1] (numeric) = 0.41634469343707494388307542032486 absolute error = 3.8452961876284016082439283371568e-16 relative error = 9.2358477200324021731703287401700e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.568 Order of pole = 3.62 x[1] = -1.183 y[1] (analytic) = 0.41675540083742830244272843092842 y[1] (numeric) = 0.41675540083742791631387747382324 absolute error = 3.8612885095710517426140865974167e-16 relative error = 9.2651193045421333748333320355487e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.567 Order of pole = 3.62 x[1] = -1.182 y[1] (analytic) = 0.41716657127457736854664172566793 y[1] (numeric) = 0.41716657127457698081397400678306 absolute error = 3.8773266771888486561530600966148e-16 relative error = 9.2944328337296416460322480310377e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.567 Order of pole = 3.62 x[1] = -1.181 y[1] (analytic) = 0.4175782050901948044084566267782 y[1] (numeric) = 0.41757820509019441506738885550137 absolute error = 3.8934106777127683163750042370801e-16 relative error = 9.3237880479701067660905215217941e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.566 Order of pole = 3.62 x[1] = -1.18 y[1] (analytic) = 0.41799030262497910048486875104498 y[1] (numeric) = 0.41799030262497870953081906328413 absolute error = 3.9095404968776084082081979170461e-16 relative error = 9.3531846847299903557972926967411e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.565 Order of pole = 3.62 x[1] = -1.179 y[1] (analytic) = 0.41840286421864729517192382892176 y[1] (numeric) = 0.41840286421864690260031193815194 absolute error = 3.9257161189076982467110805862540e-16 relative error = 9.3826224785502740252675977554511e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.564 Order of pole = 3.619 x[1] = -1.178 y[1] (analytic) = 0.41881589020992727680882394822765 y[1] (numeric) = 0.4188158902099268826150712979754 absolute error = 3.9419375265025225498116873281457e-16 relative error = 9.4121011610296490518245688464162e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.563 Order of pole = 3.619 x[1] = -1.177 y[1] (analytic) = 0.41922938093655005242463408611558 y[1] (numeric) = 0.4192293809365496566041640038897 absolute error = 3.9582047008222588427290562936557e-16 relative error = 9.4416204608076578630680571198894e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.563 Order of pole = 3.619 x[1] = -1.176 y[1] (analytic) = 0.41964333673524198313369500993715 y[1] (numeric) = 0.41964333673524158568193286261433 absolute error = 3.9745176214732282684545314822263e-16 relative error = 9.4711801035477876062487056133898e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.562 Order of pole = 3.619 x[1] = -1.175 y[1] (analytic) = 0.42005775794171698608558676818062 y[1] (numeric) = 0.42005775794171658699796011885467 absolute error = 3.9908762664932595814453356224328e-16 relative error = 9.5007798119205160910783021161542e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.561 Order of pole = 3.618 x[1] = -1.174 y[1] (analytic) = 0.42047264489066870287552832387831 y[1] (numeric) = 0.42047264489066830214746709018169 absolute error = 4.0072806123369661045129187258469e-16 relative error = 9.5304193055863103991765662956322e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.56 Order of pole = 3.618 x[1] = -1.173 y[1] (analytic) = 0.4208879979157626343211434348417 y[1] (numeric) = 0.42088799791576223194808004874815 absolute error = 4.0237306338609354317749772797712e-16 relative error = 9.5600983011785784594816899933495e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.559 Order of pole = 3.618 x[1] = -1.172 y[1] (analytic) = 0.42130381734962824151157068803969 y[1] (numeric) = 0.42130381734962783748894025715652 absolute error = 4.0402263043088316634832700345903e-16 relative error = 9.5898165122865738951372740217831e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.559 Order of pole = 3.617 x[1] = -1.171 y[1] (analytic) = 0.42172010352385101303494667981871 y[1] (numeric) = 0.42172010352385060735818715017771 absolute error = 4.0567675952964099615400154706676e-16 relative error = 9.6195736494382544536121078246814e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.558 Order of pole = 3.617 memory used=179.2MB, alloc=4.5MB, time=12.52 x[1] = -1.17 y[1] (analytic) = 0.42213685676896449829034573008569 y[1] (numeric) = 0.42213685676896409095489805044137 absolute error = 4.0733544767964432175743333444967e-16 relative error = 9.6493694200830943381118382597783e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.557 Order of pole = 3.617 x[1] = -1.169 y[1] (analytic) = 0.42255407741444230679031725782686 y[1] (numeric) = 0.4225540774144418977916255454708 absolute error = 4.0899869171235606285674817576471e-16 relative error = 9.6792035285748507647032881958591e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.556 Order of pole = 3.616 x[1] = -1.168 y[1] (analytic) = 0.42297176578869007336022305839041 y[1] (numeric) = 0.42297176578868966269373476649061 absolute error = 4.1066648829189979781921389960495e-16 relative error = 9.7090756761542850759933316257962e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.556 Order of pole = 3.616 x[1] = -1.167 y[1] (analytic) = 0.4233899222190373891406412409728 y[1] (numeric) = 0.42338992221903697680180732744686 absolute error = 4.1233883391352594252672864602809e-16 relative error = 9.7389855609318387486851259503863e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.555 Order of pole = 3.616 x[1] = -1.166 y[1] (analytic) = 0.42380854703172969829917153905226 y[1] (numeric) = 0.4238085470317292842834466369832 absolute error = 4.1401572490206906040269693259692e-16 relative error = 9.7689328778702646388754596349065e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.554 Order of pole = 3.615 x[1] = -1.165 y[1] (analytic) = 0.42422764055192016035804812862582 y[1] (numeric) = 0.42422764055191974466089071822954 absolute error = 4.1569715741039628442589525696515e-16 relative error = 9.7989173187672138155583094709968e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.553 Order of pole = 3.615 x[1] = -1.164 y[1] (analytic) = 0.42464720310366147804404101072829 y[1] (numeric) = 0.42464720310366106066091359288145 absolute error = 4.1738312741784683227886625461655e-16 relative error = 9.8289385722377783394617302753150e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.552 Order of pole = 3.615 x[1] = -1.163 y[1] (analytic) = 0.42506723500989769056720546772486 y[1] (numeric) = 0.42506723500989727149357473906226 absolute error = 4.1907363072866259612654227176608e-16 relative error = 9.8589963236969903510682342574645e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.552 Order of pole = 3.614 x[1] = -1.162 y[1] (analytic) = 0.4254877365924559322351211193391 y[1] (numeric) = 0.42548773659245551146645814892931 absolute error = 4.2076866297040978887524741391050e-16 relative error = 9.8890902553422778384531698305867e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.551 Order of pole = 3.614 x[1] = -1.161 y[1] (analytic) = 0.42590870817203815630934771655435 y[1] (numeric) = 0.42590870817203773384112812416272 absolute error = 4.2246821959239162912302380332749e-16 relative error = 9.9192200461358774624215917133248e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.55 Order of pole = 3.613 x[1] = -1.16 y[1] (analytic) = 0.42633015006821282401091405184175 y[1] (numeric) = 0.4263301500682123998386181877897 absolute error = 4.2417229586405204737943537627219e-16 relative error = 9.9493853717872048233320361858405e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.549 Order of pole = 3.613 x[1] = -1.159 y[1] (analytic) = 0.42675206259940655858174926523964 y[1] (numeric) = 0.42675206259940613270086239186924 absolute error = 4.2588088687337039650668386254615e-16 relative error = 9.9795859047351825609657866811100e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.548 Order of pole = 3.612 x[1] = -1.158 y[1] (analytic) = 0.42717444608289576430906242043876 y[1] (numeric) = 0.42717444608289533671507489519161 absolute error = 4.2759398752524714971408974229352e-16 relative error = 1.0009821314130526685832943794784e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.548 Order of pole = 3.612 x[1] = -1.157 y[1] (analytic) = 0.42759730083479821041977654620253 y[1] (numeric) = 0.42759730083479778110818400632196 absolute error = 4.2931159253988056982480942736844e-16 relative error = 1.0040091265817991547402207425058e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.547 Order of pole = 3.612 x[1] = -1.156 y[1] (analytic) = 0.42802062717006457975222741934379 y[1] (numeric) = 0.42802062717006414871853096820946 absolute error = 4.3103369645113433392714246000897e-16 relative error = 1.0070395422318573851900043064475e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.546 Order of pole = 3.611 x[1] = -1.155 y[1] (analytic) = 0.42844442540246998211244523944688 y[1] (numeric) = 0.42844442540246954935215163455078 absolute error = 4.3276029360489609792299328316664e-16 relative error = 1.0100733442811676149547143977430e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.545 Order of pole = 3.611 x[1] = -1.154 y[1] (analytic) = 0.42886869584460543222244904611025 y[1] (numeric) = 0.42886869584460499773107088868326 absolute error = 4.3449137815742698589305556683470e-16 relative error = 1.0131104983117230218386119540775e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.545 Order of pole = 3.61 x[1] = -1.153 y[1] (analytic) = 0.42929343880786929216809929042087 y[1] (numeric) = 0.42929343880786885594115521671889 absolute error = 4.3622694407370198961214795212133e-16 relative error = 1.0161509695677780779204439490030e-13 % h = 0.001 TOP MAIN SOLVE Loop memory used=183.1MB, alloc=4.5MB, time=12.79 Complex estimate of poles used Radius of convergence = 1.544 Order of pole = 3.61 x[1] = -1.152 y[1] (analytic) = 0.4297186546024586782541734275735 y[1] (numeric) = 0.42971865460245824028718830183224 absolute error = 4.3796698512574126396891350348342e-16 relative error = 1.0191947229540529983471144896103e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.543 Order of pole = 3.609 x[1] = -1.151 y[1] (analytic) = 0.43014434353736083217445278111976 y[1] (numeric) = 0.43014434353736039246295789018746 absolute error = 4.3971149489093230447186656603301e-16 relative error = 1.0222417230339343123684998645801e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.542 Order of pole = 3.609 x[1] = -1.15 y[1] (analytic) = 0.43057050592034445640473627556512 y[1] (numeric) = 0.43057050592034401494426952522213 absolute error = 4.4146046675034299345859585621105e-16 relative error = 1.0252919340276716023075888760502e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.541 Order of pole = 3.608 x[1] = -1.149 y[1] (analytic) = 0.43099714205795101372682797740368 y[1] (numeric) = 0.43099714205795057051293409037818 absolute error = 4.4321389388702550206687753566482e-16 relative error = 1.0283453198105704569210713251271e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.541 Order of pole = 3.608 x[1] = -1.148 y[1] (analytic) = 0.43142425225548599079168075985891 y[1] (numeric) = 0.43142425225548554581991147554787 absolute error = 4.4497176928431103547558311098014e-16 relative error = 1.0314018439111816863729959952733e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.54 Order of pole = 3.607 x[1] = -1.147 y[1] (analytic) = 0.43185183681701012563001784843642 y[1] (numeric) = 0.43185183681700967889593212434101 absolute error = 4.4673408572409540937965096051116e-16 relative error = 1.0344614695094868468182041810183e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.539 Order of pole = 3.607 x[1] = -1.146 y[1] (analytic) = 0.43227989604533059901889754793552 y[1] (numeric) = 0.43227989604533015051806176282007 absolute error = 4.4850083578511544612709411927099e-16 relative error = 1.0375241594350801233729448596155e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.538 Order of pole = 3.606 x[1] = -1.145 y[1] (analytic) = 0.43270843024199218961283413204098 y[1] (numeric) = 0.4327084302419917393408222908248 absolute error = 4.5027201184121617941710796726883e-16 relative error = 1.0405898761653466210374219400575e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.537 Order of pole = 3.606 x[1] = -1.144 y[1] (analytic) = 0.43313743970726839274823972944503 y[1] (numeric) = 0.43313743970726794070063366983617 absolute error = 4.5204760605960885693688728488444e-16 relative error = 1.0436585818236371139290414025550e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.537 Order of pole = 3.605 x[1] = -1.143 y[1] (analytic) = 0.43356692474015250283010810124135 y[1] (numeric) = 0.43356692474015204900249770212161 absolute error = 4.5382761039911973080083068264102e-16 relative error = 1.0467302381774393039858451271467e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.536 Order of pole = 3.605 x[1] = -1.142 y[1] (analytic) = 0.43399688563834865921002150888565 y[1] (numeric) = 0.43399688563834820359800490045603 absolute error = 4.5561201660842962614946990366301e-16 relative error = 1.0498048066365456411070671711038e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.535 Order of pole = 3.604 x[1] = -1.141 y[1] (analytic) = 0.43442732269826285546472645631985 y[1] (numeric) = 0.43442732269826239806391023201557 absolute error = 4.5740081622430427876678045359491e-16 relative error = 1.0528822482512177575119553573015e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.534 Order of pole = 3.603 x[1] = -1.14 y[1] (analytic) = 0.43485823621499391198469299008523 y[1] (numeric) = 0.4348582362149934527906924202698 absolute error = 4.5919400056981543308357724696114e-16 relative error = 1.0559625237103475699189942371118e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.534 Order of pole = 3.603 x[1] = -1.139 y[1] (analytic) = 0.43528962648232441178224549377296 y[1] (numeric) = 0.43528962648232395079068474122027 absolute error = 4.6099156075255269245154357357709e-16 relative error = 1.0590455933396151039754725339937e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.533 Order of pole = 3.602 x[1] = -1.138 y[1] (analytic) = 0.43572149379271159942903055453403 y[1] (numeric) = 0.43572149379271113663554289170792 absolute error = 4.6279348766282611409715307368530e-16 relative error = 1.0621314170996430962019865788430e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.532 Order of pole = 3.602 x[1] = -1.137 y[1] (analytic) = 0.43615383843727824303276954634331 y[1] (numeric) = 0.43615383843727777843299757448377 absolute error = 4.6459977197185954169739223991824e-16 relative error = 1.0652199545841484295579883085251e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 3.601 x[1] = -1.136 y[1] (analytic) = 0.43658666070580345916343010422197 y[1] (numeric) = 0.4365866607058029927530259742473 absolute error = 4.6641040412997466905984519236911e-16 relative error = 1.0683111650180904595828991737407e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.53 Order of pole = 3.601 x[1] = -1.135 y[1] (analytic) = 0.43701996088671350063914169279682 y[1] (numeric) = 0.43701996088671303241376732803099 absolute error = 4.6822537436476582893843333126298e-16 relative error = 1.0714050072558162889226466094292e-13 % h = 0.001 TOP MAIN SOLVE Loop memory used=186.9MB, alloc=4.5MB, time=13.06 Complex estimate of poles used Radius of convergence = 1.53 Order of pole = 3.6 x[1] = -1.134 y[1] (analytic) = 0.4374537392670725070823760387339 y[1] (numeric) = 0.4374537392670720370377033594684 absolute error = 4.7004467267926550157298046446346e-16 relative error = 1.0745014397792030489137641306230e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.529 Order of pole = 3.6 x[1] = -1.133 y[1] (analytic) = 0.43788799613257321815711333723638 y[1] (numeric) = 0.43788799613257274628882448713584 absolute error = 4.7186828885010053810586990827552e-16 relative error = 1.0776004206957972477664559449598e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.528 Order of pole = 3.599 x[1] = -1.132 y[1] (analytic) = 0.43832273176752764939791989564412 y[1] (numeric) = 0.43832273176752717570170747000503 absolute error = 4.7369621242563909460244490924029e-16 relative error = 1.0807019077369512457642882746186e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.527 Order of pole = 3.598 x[1] = -1.131 y[1] (analytic) = 0.43875794645485773054207228010658 y[1] (numeric) = 0.43875794645485725501363955597831 absolute error = 4.7552843272412827298354883298379e-16 relative error = 1.0838058582559569187814581417322e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.526 Order of pole = 3.598 x[1] = -1.13 y[1] (analytic) = 0.43919364047608590627607712240327 y[1] (numeric) = 0.4391936404760854289111382905808 absolute error = 4.7736493883182246576877847230508e-16 relative error = 1.0869122292261765723089317035914e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.526 Order of pole = 3.597 x[1] = -1.129 y[1] (analytic) = 0.43962981411132569930815456153301 y[1] (numeric) = 0.4396298141113252201024349604306 absolute error = 4.7920571960110240212770435251032e-16 relative error = 1.0900209772391711690781635560984e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.525 Order of pole = 3.597 x[1] = -1.128 y[1] (analytic) = 0.44006646763927223567847687714752 y[1] (numeric) = 0.44006646763927175462771322856263 absolute error = 4.8105076364858489334356811845736e-16 relative error = 1.0931320585028259342756306952926e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.524 Order of pole = 3.596 x[1] = -1.127 y[1] (analytic) = 0.44050360133719273221918225792455 y[1] (numeric) = 0.44050360133719224931912290470127 absolute error = 4.8290005935322327640987128040345e-16 relative error = 1.0962454288394734032530646799110e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.523 Order of pole = 3.596 x[1] = -1.126 y[1] (analytic) = 0.4409412154809169460764168764077 y[1] (numeric) = 0.44094121548091646132282202200915 absolute error = 4.8475359485439855510489432013033e-16 relative error = 1.0993610436840139775570673111599e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.523 Order of pole = 3.595 x[1] = -1.125 y[1] (analytic) = 0.44137931034482758620689655172414 y[1] (numeric) = 0.4413793103448270995955385017229 absolute error = 4.8661135805000123852260319595876e-16 relative error = 1.1024788580820340560277728658441e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.522 Order of pole = 3.594 x[1] = -1.124 y[1] (analytic) = 0.44181788620185068676172231215671 y[1] (numeric) = 0.44181788620185019828838571765283 absolute error = 4.8847333659450387768068464681101e-16 relative error = 1.1055988266879218086493972931605e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.521 Order of pole = 3.594 x[1] = -1.123 y[1] (analytic) = 0.44225694332344594227043216021731 y[1] (numeric) = 0.44225694332344545193091426319301 absolute error = 4.9033951789702430147767561886593e-16 relative error = 1.1087209037629806617759151944107e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.52 Order of pole = 3.593 x[1] = -1.122 y[1] (analytic) = 0.44269648197959700453852433325483 y[1] (numeric) = 0.44269648197959651232863521387527 absolute error = 4.9220988911937955393138908178928e-16 relative error = 1.1118450431735405643027518946285e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.519 Order of pole = 3.593 x[1] = -1.121 y[1] (analytic) = 0.4431365024388017411719453825398 y[1] (numeric) = 0.44313650243880124708750820840927 absolute error = 4.9408443717413053530016213889039e-16 relative error = 1.1149711983890671053102931892678e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.519 Order of pole = 3.592 x[1] = -1.12 y[1] (analytic) = 0.44357700496806245564229950319375 y[1] (numeric) = 0.4435770049680619596791507805764 absolute error = 4.9596314872261735036693655116306e-16 relative error = 1.1180993224802685546672217609420e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.518 Order of pole = 3.592 x[1] = -1.119 y[1] (analytic) = 0.44401798983287606880680377646181 y[1] (numeric) = 0.44401798983287557096079360347644 absolute error = 4.9784601017298536785390067838997e-16 relative error = 1.1212293681172008990512088057434e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.517 Order of pole = 3.591 x[1] = -1.118 y[1] (analytic) = 0.44445945729722426179728737504022 y[1] (numeric) = 0.44445945729722376206427969683823 absolute error = 4.9973300767820199563244968028867e-16 relative error = 1.1243612875673709468213437144738e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.516 Order of pole = 3.591 x[1] = -1.117 y[1] (analytic) = 0.4449014076235635801928113720359 y[1] (numeric) = 0.44490140762356307856868423797172 absolute error = 5.0162412713406417709963209998727e-16 relative error = 1.1274950326938375761608949751883e-13 % h = 0.001 TOP MAIN SOLVE Loop memory used=190.7MB, alloc=4.5MB, time=13.33 Complex estimate of poles used Radius of convergence = 1.515 Order of pole = 3.59 x[1] = -1.116 y[1] (analytic) = 0.44534384107281549939076962541239 y[1] (numeric) = 0.44534384107281499587141544821577 absolute error = 5.0351935417719661480812034211049e-16 relative error = 1.1306305549533112019005826709141e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.515 Order of pole = 3.589 x[1] = -1.115 y[1] (analytic) = 0.44578675790435645109162032341829 y[1] (numeric) = 0.44578675790435594567294614037756 absolute error = 5.0541867418304072816214491196901e-16 relative error = 1.1337678053942515374315275201517e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.514 Order of pole = 3.589 x[1] = -1.114 y[1] (analytic) = 0.44623015837600781081269221364072 y[1] (numeric) = 0.44623015837600730349061994980637 absolute error = 5.0732207226383435272684263068316e-16 relative error = 1.1369067346549637291234434279904e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.513 Order of pole = 3.588 x[1] = -1.113 y[1] (analytic) = 0.44667404274402584634680934031157 y[1] (numeric) = 0.44667404274402533711727607372938 absolute error = 5.0922953326658218944316258368005e-16 relative error = 1.1400472929616929416774796543028e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.512 Order of pole = 3.588 x[1] = -1.112 y[1] (analytic) = 0.44711841126309162708178332284095 y[1] (numeric) = 0.44711841126309111594074155182394 absolute error = 5.1114104177101701279492566099659e-16 relative error = 1.1431894301267174738644142175480e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.512 Order of pole = 3.587 x[1] = -1.111 y[1] (analytic) = 0.4475632641863008940971328649733 y[1] (numeric) = 0.44756326418630038104055077742165 absolute error = 5.1305658208755164773891972888847e-16 relative error = 1.1463330955464404851276708675698e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.511 Order of pole = 3.587 x[1] = -1.11 y[1] (analytic) = 0.44800860176515389095470633036154 y[1] (numeric) = 0.44800860176515337597856807513982 absolute error = 5.1497613825522172598310840610739e-16 relative error = 1.1494782381994804145668962732723e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.51 Order of pole = 3.586 x[1] = -1.109 y[1] (analytic) = 0.44845442424954515510020489882644 y[1] (numeric) = 0.44845442424954463820051085920721 absolute error = 5.1689969403961923298221292194642e-16 relative error = 1.1526248066447601748616099326028e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.509 Order of pole = 3.586 x[1] = -1.108 y[1] (analytic) = 0.44890073188775326979293107039482 y[1] (numeric) = 0.44890073188775275096569813957796 absolute error = 5.1882723293081685781416956138327e-16 relative error = 1.1557727490195952047457442217893e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.508 Order of pole = 3.585 x[1] = -1.107 y[1] (analytic) = 0.44934752492643057648142015386558 y[1] (numeric) = 0.44934752492643005572268201258242 absolute error = 5.2075873814128315890534584057562e-16 relative error = 1.1589220130377804647027429955632e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.508 Order of pole = 3.585 x[1] = -1.106 y[1] (analytic) = 0.44979480361059284754295090579678 y[1] (numeric) = 0.44979480361059232484875830200822 absolute error = 5.2269419260378855938699301225834e-16 relative error = 1.1620725459876764616173007966012e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.507 Order of pole = 3.584 x[1] = -1.105 y[1] (analytic) = 0.45024256818360891930527571729269 y[1] (numeric) = 0.4502425681836083946716967479905 absolute error = 5.2463357896930218669029710016816e-16 relative error = 1.1652242947302943891938171169010e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.506 Order of pole = 3.584 x[1] = -1.104 y[1] (analytic) = 0.45069081888719028526926072283596 y[1] (numeric) = 0.45069081888718975869238111795639 absolute error = 5.2657687960487957182264183822043e-16 relative error = 1.1683772056973804720332268729129e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.505 Order of pole = 3.583 x[1] = -1.103 y[1] (analytic) = 0.45113955596138064945148197088436 y[1] (numeric) = 0.45113955596138012092740537934313 absolute error = 5.2852407659154122461339117881909e-16 relative error = 1.1715312248894996023490644074910e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.505 Order of pole = 3.583 x[1] = -1.102 y[1] (analytic) = 0.45158877964454543976618539345124 y[1] (numeric) = 0.45158877964454490929103367130914 absolute error = 5.3047515172214210207371306402586e-16 relative error = 1.1746862978741183594004385038311e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.504 Order of pole = 3.582 x[1] = -1.101 y[1] (analytic) = 0.45203849017336128136638578501682 y[1] (numeric) = 0.45203849017336074893629928578483 absolute error = 5.3243008649923198788177663773110e-16 relative error = 1.1778423697836875028240541597654e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.503 Order of pole = 3.582 x[1] = -1.1 y[1] (analytic) = 0.45248868778280542986425339366516 y[1] (numeric) = 0.45248868778280489547539126075836 absolute error = 5.3438886213290680188213880858887e-16 relative error = 1.1809993853137240321595267669814e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.502 Order of pole = 3.581 x[1] = -1.099 y[1] (analytic) = 0.4529393727061451643513160832883 y[1] (numeric) = 0.45293937270614462799985654463744 absolute error = 5.3635145953865085937636991403323e-16 relative error = 1.1841572887208929059820088725725e-13 % h = 0.001 TOP MAIN SOLVE Loop memory used=194.5MB, alloc=4.5MB, time=13.60 Complex estimate of poles used Radius of convergence = 1.502 Order of pole = 3.581 x[1] = -1.098 y[1] (analytic) = 0.45339054517492714013939038920858 y[1] (numeric) = 0.45339054517492660182153105403848 absolute error = 5.3831785933517010088102910819448e-16 relative error = 1.1873160238210885151836013251502e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.501 Order of pole = 3.58 x[1] = -1.097 y[1] (analytic) = 0.45384220541896670114354620499417 y[1] (numeric) = 0.45384220541896616085550436277786 absolute error = 5.4028804184221631393906497680977e-16 relative error = 1.1904755339875160060801612214874e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.5 Order of pole = 3.58 x[1] = -1.096 y[1] (analytic) = 0.45429435366633715182880735011921 y[1] (numeric) = 0.45429435366633660956682027171684 absolute error = 5.4226198707840236949166279028004e-16 relative error = 1.1936357621487725501629600005691e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.499 Order of pole = 3.58 x[1] = -1.095 y[1] (analytic) = 0.45474699014335898864269392116961 y[1] (numeric) = 0.45474699014335844440301916216111 absolute error = 5.4423967475900849624956379726176e-16 relative error = 1.1967966507869286584651970292735e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.498 Order of pole = 3.579 x[1] = -1.094 y[1] (analytic) = 0.45520011507458909085612216842768 y[1] (numeric) = 0.45520011507458854463503787464807 absolute error = 5.4622108429377961744602111742252e-16 relative error = 1.1999581419356096396716472475140e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.498 Order of pole = 3.579 x[1] = -1.093 y[1] (analytic) = 0.45565372868280987073559370997367 y[1] (numeric) = 0.45565372868280932252939892525989 absolute error = 5.4820619478471377530790821237066e-16 relative error = 1.2031201771780773022657254503711e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.497 Order of pole = 3.578 x[1] = -1.092 y[1] (analytic) = 0.45610783118901838297002824219691 y[1] (numeric) = 0.45610783118901783277504321835524 absolute error = 5.5019498502384166954713670543953e-16 relative error = 1.2062826976453120021819935297548e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.496 Order of pole = 3.578 x[1] = -1.091 y[1] (analytic) = 0.45656242281241539327602257427243 y[1] (numeric) = 0.4565624228124148410885890832751 absolute error = 5.5218743349099733715154758967664e-16 relative error = 1.2094456440140951386136288062645e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.495 Order of pole = 3.578 x[1] = -1.09 y[1] (analytic) = 0.45701750377039440610575385037247 y[1] (numeric) = 0.45701750377039385192223549879247 absolute error = 5.5418351835158000174289070369131e-16 relative error = 1.2126089565050922018136191487470e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.495 Order of pole = 3.577 x[1] = -1.089 y[1] (analytic) = 0.45747307427853065138218627297144 y[1] (numeric) = 0.45747307427853009519896881866432 absolute error = 5.5618321745430712176947884070942e-16 relative error = 1.2157725748809364779254609569624e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.494 Order of pole = 3.577 x[1] = -1.088 y[1] (analytic) = 0.45792913455057003018668854957358 y[1] (numeric) = 0.45792913455056947200018022061491 absolute error = 5.5818650832895866781267203017602e-16 relative error = 1.2189364384443135170839156698647e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.493 Order of pole = 3.576 x[1] = -1.087 y[1] (analytic) = 0.45838568479841801932462369973171 y[1] (numeric) = 0.45838568479841745913125551561905 absolute error = 5.6019336818411266030959139543187e-16 relative error = 1.2221004860360464722389349909409e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.492 Order of pole = 3.576 x[1] = -1.086 y[1] (analytic) = 0.45884272523212853469493382570217 y[1] (numeric) = 0.45884272523212797249115992083017 absolute error = 5.6220377390487200002945749592578e-16 relative error = 1.2252646560331824173761995487907e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.492 Order of pole = 3.576 x[1] = -1.085 y[1] (analytic) = 0.45930025605989275339021001504208 y[1] (numeric) = 0.45930025605989218917250796445946 absolute error = 5.6421770205058262468777209681873e-16 relative error = 1.2284288863470797550358346034962e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.491 Order of pole = 3.575 x[1] = -1.084 y[1] (analytic) = 0.45975827748802789445421175362841 y[1] (numeric) = 0.45975827748802732821908290108539 absolute error = 5.6623512885254302614129168884976e-16 relative error = 1.2315931144214968242667733355828e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.49 Order of pole = 3.575 x[1] = -1.083 y[1] (analytic) = 0.46021678972096595822428112986904 y[1] (numeric) = 0.46021678972096538996825091816387 absolute error = 5.6825603021170516367745253971333e-16 relative error = 1.2347572772306818213979361715652e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.489 Order of pole = 3.575 x[1] = -1.082 y[1] (analytic) = 0.46067579296124242418658475236833 y[1] (numeric) = 0.46067579296124185390620305600152 absolute error = 5.7028038169636680999467723320498e-16 relative error = 1.2379213112774641472588857423717e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.489 Order of pole = 3.575 memory used=198.3MB, alloc=4.5MB, time=13.86 x[1] = -1.081 y[1] (analytic) = 0.46113528740948490727261073126373 y[1] (numeric) = 0.46113528740948433496445219140836 absolute error = 5.7230815853985536756489807656259e-16 relative error = 1.2410851525913472957419029378087e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.488 Order of pole = 3.574 x[1] = -1.08 y[1] (analytic) = 0.46159527326440177252584933530281 y[1] (numeric) = 0.46159527326440119818651369709961 absolute error = 5.7433933563820319417674984513396e-16 relative error = 1.2442487367266033998645108644982e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.487 Order of pole = 3.574 x[1] = -1.079 y[1] (analytic) = 0.46205575072277070806809408009552 y[1] (numeric) = 0.46205575072277013169420653228104 absolute error = 5.7637388754781447757728937331604e-16 relative error = 1.2474119987603695527663503305949e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.486 Order of pole = 3.574 x[1] = -1.078 y[1] (analytic) = 0.46251671997942725629531507563998 y[1] (numeric) = 0.46251671997942667788352659251628 absolute error = 5.7841178848312370026186863760424e-16 relative error = 1.2505748732907460223569819914659e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.486 Order of pole = 3.574 x[1] = -1.077 y[1] (analytic) = 0.46297818122725330323357851114551 y[1] (numeric) = 0.46297818122725272278056619689977 absolute error = 5.8045301231424573660599720490461e-16 relative error = 1.2537372944348964796216549367924e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.485 Order of pole = 3.573 x[1] = -1.076 y[1] (analytic) = 0.46344013465716552598601523049659 y[1] (numeric) = 0.46344013465716494348848266587896 absolute error = 5.8249753256461762568975506550790e-16 relative error = 1.2568991958271503618903369262314e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.484 Order of pole = 3.573 x[1] = -1.075 y[1] (analytic) = 0.46390258045810379820237750072485 y[1] (numeric) = 0.46390258045810321365705509209278 absolute error = 5.8454532240863206433463358657315e-16 relative error = 1.2600605106171074936813445250567e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.483 Order of pole = 3.573 x[1] = -1.074 y[1] (analytic) = 0.46436551881701955350326634705936 y[1] (numeric) = 0.46436551881701896690691167779669 absolute error = 5.8659635466926266605466607004371e-16 relative error = 1.2632211714677450890447380698535e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.483 Order of pole = 3.573 x[1] = -1.073 y[1] (analytic) = 0.46482894991886410679166227015952 y[1] (numeric) = 0.46482894991886351814106045447848 absolute error = 5.8865060181568103281843543739410e-16 relative error = 1.2663811105535272606522518910936e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.482 Order of pole = 3.573 x[1] = -1.072 y[1] (analytic) = 0.46529287394657693338494982281647 y[1] (numeric) = 0.46529287394657634267691386195079 absolute error = 5.9070803596086568772608993559055e-16 relative error = 1.2695402595585171622099088721323e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.481 Order of pole = 3.572 x[1] = -1.071 y[1] (analytic) = 0.46575729108107390590119145372631 y[1] (numeric) = 0.4657572910810733131325625945234 absolute error = 5.9276862885920291792593327837330e-16 relative error = 1.2726985496744918921066137119319e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.48 Order of pole = 3.572 x[1] = -1.07 y[1] (analytic) = 0.46622220150123548883397827404541 y[1] (numeric) = 0.46622220150123489400162636996583 absolute error = 5.9483235190407957832855787636643e-16 relative error = 1.2758559115990602875569237890184e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.48 Order of pole = 3.572 x[1] = -1.069 y[1] (analytic) = 0.46668760538389489075076501765713 y[1] (numeric) = 0.46668760538389429385158889218922 absolute error = 5.9689917612546790792293308459477e-16 relative error = 1.2790122755337837398488520192794e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.479 Order of pole = 3.572 x[1] = -1.068 y[1] (analytic) = 0.46715350290382617405018349789594 y[1] (numeric) = 0.46715350290382557508111131039353 absolute error = 5.9896907218750241175841875296747e-16 relative error = 1.2821675711823001626679533846522e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.478 Order of pole = 3.572 x[1] = -1.067 y[1] (analytic) = 0.46761989423373232221442336154172 y[1] (numeric) = 0.46761989423373172117241297549286 absolute error = 6.0104201038604886292942156658672e-16 relative error = 1.2853217277484512468370757965085e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.477 Order of pole = 3.572 x[1] = -1.066 y[1] (analytic) = 0.46808677954423326449337095502809 y[1] (numeric) = 0.46808677954423266137541030876261 absolute error = 6.0311796064626548018542117267646e-16 relative error = 1.2884746739344131361870056347744e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.477 Order of pole = 3.572 x[1] = -1.065 y[1] (analytic) = 0.4685541590038538579578066979817 y[1] (numeric) = 0.46855415900385325276091417782536 absolute error = 6.0519689252015633808843806125272e-16 relative error = 1.2916263379388306606567967212771e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.476 Order of pole = 3.572 x[1] = -1.064 y[1] (analytic) = 0.46902203277901182685957855556223 y[1] (numeric) = 0.46902203277901121958080337144516 absolute error = 6.0727877518411706795276842185331e-16 relative error = 1.2947766474549552641138257411598e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.475 Order of pole = 3.572 memory used=202.1MB, alloc=4.5MB, time=14.14 x[1] = -1.063 y[1] (analytic) = 0.46949040103400565923729406390422 y[1] (numeric) = 0.46949040103400504987371662743131 absolute error = 6.0936357743647290912804522100336e-16 relative error = 1.2979255296687867657825533513353e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.474 Order of pole = 3.572 x[1] = -1.062 y[1] (analytic) = 0.46995926393100246070670594272888 y[1] (numeric) = 0.46995926393100184925543824771971 absolute error = 6.1145126769500917152647165957750e-16 relative error = 1.3010729112572190955775735620020e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.474 Order of pole = 3.572 x[1] = -1.061 y[1] (analytic) = 0.47042862163002576537560667651117 y[1] (numeric) = 0.470428621630025151833792682017 absolute error = 6.1354181399449417164848472810333e-16 relative error = 1.3042187183861901450507886047085e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.473 Order of pole = 3.572 x[1] = -1.06 y[1] (analytic) = 0.47089847428894330382369561122622 y[1] (numeric) = 0.47089847428894268818851162703151 absolute error = 6.1563518398419470572821414532867e-16 relative error = 1.3073628767088358770844355590200e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.472 Order of pole = 3.572 x[1] = -1.059 y[1] (analytic) = 0.47136882206345472808853814858582 y[1] (numeric) = 0.4713688220634541103571932232017 absolute error = 6.1773134492538412500097650095112e-16 relative error = 1.3105053113636488388911966282143e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.471 Order of pole = 3.572 x[1] = -1.058 y[1] (analytic) = 0.47183966510707929359940057488945 y[1] (numeric) = 0.47183966510707867376913688604637 absolute error = 6.1983026368884307948975646705372e-16 relative error = 1.3136459469726412243197282250408e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.471 Order of pole = 3.572 x[1] = -1.057 y[1] (analytic) = 0.47231100357114349800141598838871 y[1] (numeric) = 0.47231100357114287606950923603571 absolute error = 6.2193190675235299811624659787052e-16 relative error = 1.3167847076395126329086249930948e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.47 Order of pole = 3.572 x[1] = -1.056 y[1] (analytic) = 0.47278283760476867681321673878181 y[1] (numeric) = 0.47278283760476805277697654059943 absolute error = 6.2403624019818237436461415447931e-16 relative error = 1.3199215169478226745840725242488e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.469 Order of pole = 3.572 x[1] = -1.055 y[1] (analytic) = 0.47325516735485855586185681664912 y[1] (numeric) = 0.47325516735485792971862710608319 absolute error = 6.2614322971056592816280675069835e-16 relative error = 1.3230562979591685703562147343944e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.468 Order of pole = 3.572 x[1] = -1.054 y[1] (analytic) = 0.47372799296608676043954378099365 y[1] (numeric) = 0.47372799296608613218670320781694 absolute error = 6.2825284057317671609696711304605e-16 relative error = 1.3261889732113679008365454304027e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.468 Order of pole = 3.572 x[1] = -1.053 y[1] (analytic) = 0.47420131458088428112740414138976 y[1] (numeric) = 0.4742013145808836507623664747985 absolute error = 6.3036503766659126353946907147799e-16 relative error = 1.3293194647166466558734042331544e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.467 Order of pole = 3.572 x[1] = -1.052 y[1] (analytic) = 0.47467513233942689623221866954257 y[1] (numeric) = 0.47467513233942626375243320379477 absolute error = 6.3247978546574779375027971784029e-16 relative error = 1.3324476939598327400848892826930e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.466 Order of pole = 3.572 x[1] = -1.051 y[1] (analytic) = 0.47514944637962255078278495543811 y[1] (numeric) = 0.47514944637962191618573691804048 absolute error = 6.3459704803739763050486361570770e-16 relative error = 1.3355735818965550905581664704820e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.466 Order of pole = 3.572 x[1] = -1.05 y[1] (analytic) = 0.4756242568370986920332936979786 y[1] (numeric) = 0.47562425683709805531650466042874 absolute error = 6.3671678903754985230974059175134e-16 relative error = 1.3386970489514485644812295941572e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.465 Order of pole = 3.572 x[1] = -1.049 y[1] (analytic) = 0.47609956384518956142184278144983 y[1] (numeric) = 0.47609956384518892258287107254055 absolute error = 6.3883897170890927778915498318131e-16 relative error = 1.3418180150163647559776189158290e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.464 Order of pole = 3.573 x[1] = -1.048 y[1] (analytic) = 0.47657536753492344293295918989813 y[1] (numeric) = 0.47657536753492280196940031159026 absolute error = 6.4096355887830786336317666282325e-16 relative error = 1.3449363994485889029264070443087e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.463 Order of pole = 3.573 x[1] = -1.047 y[1] (analytic) = 0.47705166803500986781375330417912 y[1] (numeric) = 0.47705166803500922472324035004952 absolute error = 6.4309051295412959588899750555325e-16 relative error = 1.3480521210690630460688795721183e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.463 Order of pole = 3.573 x[1] = -1.046 y[1] (analytic) = 0.4775284654718267755940931638935 y[1] (numeric) = 0.47752846547182613037429724016454 absolute error = 6.4521979592372896450327535859949e-16 relative error = 1.3511650981606156042297409808489e-13 % h = 0.001 TOP MAIN SOLVE Loop memory used=206.0MB, alloc=4.5MB, time=14.41 Complex estimate of poles used Radius of convergence = 1.462 Order of pole = 3.573 x[1] = -1.045 y[1] (analytic) = 0.47800575996940763136195791159283 y[1] (numeric) = 0.47800575996940698401058856074974 absolute error = 6.4735136935084309748417454485457e-16 relative error = 1.3542752484661975310143302521994e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.461 Order of pole = 3.573 x[1] = -1.044 y[1] (analytic) = 0.4784835516494284992459099226005 y[1] (numeric) = 0.47848355164942784976071554960285 absolute error = 6.4948519437299765154732030440672e-16 relative error = 1.3573824891871252198842004077106e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.46 Order of pole = 3.574 x[1] = -1.043 y[1] (analytic) = 0.47896184063119507205741411376014 y[1] (numeric) = 0.4789618406311944204361824148536 absolute error = 6.5162123169890654260028651724206e-16 relative error = 1.3604867369813303260614656047373e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.46 Order of pole = 3.574 x[1] = -1.042 y[1] (analytic) = 0.47944062703162965704653067173467 y[1] (numeric) = 0.47944062703162900328708906586907 absolute error = 6.5375944160586560860553299248720e-16 relative error = 1.3635879079616166752675109165421e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.459 Order of pole = 3.574 x[1] = -1.041 y[1] (analytic) = 0.47991991096525811772531399959975 y[1] (numeric) = 0.47991991096525746182553006245945 absolute error = 6.5589978393714029684196127020606e-16 relative error = 1.3666859176939244308639547014642e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.458 Order of pole = 3.574 x[1] = -1.04 y[1] (analytic) = 0.48039969254419677171406610299769 y[1] (numeric) = 0.48039969254419611367184800365022 absolute error = 6.5804221809934746951052622430403e-16 relative error = 1.3697806811956016925331113885113e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.458 Order of pole = 3.575 x[1] = -1.039 y[1] (analytic) = 0.48087997187813924456641697775594 y[1] (numeric) = 0.48087997187813858437971391792451 absolute error = 6.6018670305983142329968397260379e-16 relative error = 1.3728721129336837012115821143930e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.457 Order of pole = 3.575 x[1] = -1.038 y[1] (analytic) = 0.48136074907434327953003787346374 y[1] (numeric) = 0.48136074907434261719684052942952 absolute error = 6.6233319734403422021193309416150e-16 relative error = 1.3759601268231798265739591348673e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.456 Order of pole = 3.575 x[1] = -1.037 y[1] (analytic) = 0.48184202423761750320063564599837 y[1] (numeric) = 0.48184202423761683871897661313795 absolute error = 6.6448165903286042865337351312275e-16 relative error = 1.3790446362253685149539231345561e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.455 Order of pole = 3.576 x[1] = -1.036 y[1] (analytic) = 0.48232379747030814702772783046897 y[1] (numeric) = 0.4823237974703074803956820704326 absolute error = 6.6663204576003637550412238732698e-16 relative error = 1.3821255539461003771871949291555e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.455 Order of pole = 3.576 x[1] = -1.035 y[1] (analytic) = 0.48280606887228572463155861869184 y[1] (numeric) = 0.48280606887228505584724390922783 absolute error = 6.6878431470946401161864483686496e-16 relative error = 1.3852027922341095974648276522356e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.454 Order of pole = 3.576 x[1] = -1.034 y[1] (analytic) = 0.48328883854093166489138566642631 y[1] (numeric) = 0.48328883854093099395296305385682 absolute error = 6.7093842261256949495163438321049e-16 relative error = 1.3882762627793338458961439938263e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.453 Order of pole = 3.577 x[1] = -1.033 y[1] (analytic) = 0.483772106571124900766246639598 y[1] (numeric) = 0.48377210657112422767192089395141 absolute error = 6.7309432574564659726706766334758e-16 relative error = 1.3913458767112428790981856291615e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.453 Order of pole = 3.577 x[1] = -1.032 y[1] (analytic) = 0.48425587305522841381020269013823 y[1] (numeric) = 0.48425587305522773855822276294318 absolute error = 6.7525197992719504216551353251635e-16 relative error = 1.3944115445971760147527974169710e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.452 Order of pole = 3.578 x[1] = -1.031 y[1] (analytic) = 0.48474013808307573434495368550351 y[1] (numeric) = 0.48474013808307505693361317024962 absolute error = 6.7741134051525388395775032503794e-16 relative error = 1.3974731764406886677033645682906e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.451 Order of pole = 3.578 x[1] = -1.03 y[1] (analytic) = 0.48522490174195739725362705614052 y[1] (numeric) = 0.48522490174195671768126465141048 absolute error = 6.7957236240473003872128808748236e-16 relative error = 1.4005306816799081368007026194924e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.451 Order of pole = 3.578 x[1] = -1.029 y[1] (analytic) = 0.48571016411660735336045862696537 y[1] (numeric) = 0.48571016411660667162545860224328 absolute error = 6.8173500002472208070055532224893e-16 relative error = 1.4035839691858988333516120202143e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.45 Order of pole = 3.579 x[1] = -1.028 y[1] (analytic) = 0.48619592528918933636200981726812 y[1] (numeric) = 0.4861959252891886524628024814287 absolute error = 6.8389920733583941905134145651213e-16 relative error = 1.4066329472610371436740942862908e-13 % h = 0.001 TOP MAIN SOLVE Loop memory used=209.8MB, alloc=4.5MB, time=14.67 Complex estimate of poles used Radius of convergence = 1.449 Order of pole = 3.579 x[1] = -1.027 y[1] (analytic) = 0.48668218533928318527650118336773 y[1] (numeric) = 0.48668218533928249921156335585076 absolute error = 6.8606493782751697178563511560898e-16 relative error = 1.4096775236373961199201262554601e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.448 Order of pole = 3.58 x[1] = -1.026 y[1] (analytic) = 0.4871689443438711223787874949578 y[1] (numeric) = 0.48716894434387043414664297963235 absolute error = 6.8823214451532545564431150133818e-16 relative error = 1.4127176054751401949901427553209e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.448 Order of pole = 3.58 x[1] = -1.025 y[1] (analytic) = 0.48765620237732398658945443462359 y[1] (numeric) = 0.48765620237732329618867449634618 absolute error = 6.9040077993827741251224583569244e-16 relative error = 1.4157530993609301190329241168168e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.447 Order of pole = 3.581 x[1] = -1.024 y[1] (analytic) = 0.48814395951138742228748164578712 y[1] (numeric) = 0.48814395951138672971668548965803 absolute error = 6.9257079615612909489340889721079e-16 relative error = 1.4187839113063383167003600250125e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.446 Order of pole = 3.581 x[1] = -1.023 y[1] (analytic) = 0.48863221581516802351689128275241 y[1] (numeric) = 0.48863221581516732877474653607407 absolute error = 6.9474214474667833488237897987289e-16 relative error = 1.4218099467462748660085001713003e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.446 Order of pole = 3.582 x[1] = -1.022 y[1] (analytic) = 0.48912097135511943355878549306329 y[1] (numeric) = 0.48912097135511873664400869000476 absolute error = 6.9691477680305852300352480885730e-16 relative error = 1.4248311105374243013443384153118e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.445 Order of pole = 3.582 x[1] = -1.021 y[1] (analytic) = 0.48961022619502839984117044262233 y[1] (numeric) = 0.48961022619502770075252751159351 absolute error = 6.9908864293102882523991752964943e-16 relative error = 1.4278473069566934448518423991747e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.444 Order of pole = 3.583 x[1] = -1.02 y[1] (analytic) = 0.49009998039600078415996863360125 y[1] (numeric) = 0.49009998039600008289627538734049 absolute error = 7.0126369324626076854085710757912e-16 relative error = 1.4308584396996704721307648423044e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.444 Order of pole = 3.583 x[1] = -1.019 y[1] (analytic) = 0.49059023401644752818563541982995 y[1] (numeric) = 0.49059023401644682474575804820862 absolute error = 7.0343987737162132707978835291718e-16 relative error = 1.4338644118790954198876844668406e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.443 Order of pole = 3.584 x[1] = -1.018 y[1] (analytic) = 0.49108098711207057423081984988636 y[1] (numeric) = 0.49108098711206986861367541543372 absolute error = 7.0561714443445264353337207303804e-16 relative error = 1.4368651260233423448904503532571e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.442 Order of pole = 3.584 x[1] = -1.017 y[1] (analytic) = 0.49157223973584874125554432039892 y[1] (numeric) = 0.4915722397358480334601012565504 absolute error = 7.0779544306384852166760400378983e-16 relative error = 1.4398604840749133452946684812656e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.441 Order of pole = 3.585 x[1] = -1.016 y[1] (analytic) = 0.49206399193802355608742205706368 y[1] (numeric) = 0.49206399193802284611270066913585 absolute error = 7.0997472138792782854817332099906e-16 relative error = 1.4428503873889446571339965206403e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.441 Order of pole = 3.585 x[1] = -1.015 y[1] (analytic) = 0.49255624376608503983548621458213 y[1] (numeric) = 0.49255624376608432768055918347718 absolute error = 7.1215492703110494673975746445877e-16 relative error = 1.4458347367317250404947240982808e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.44 Order of pole = 3.586 x[1] = -1.014 y[1] (analytic) = 0.4930489952647574494772694552203 y[1] (numeric) = 0.49304899526475673514126234386289 absolute error = 7.1433600711135741892269312820765e-16 relative error = 1.4488134322792266716293305118582e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.439 Order of pole = 3.587 x[1] = -1.013 y[1] (analytic) = 0.49354224647598497459984828511343 y[1] (numeric) = 0.4935422464759842580819400476225 absolute error = 7.1651790823749092943547558475490e-16 relative error = 1.4517863736156487590033481300873e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.439 Order of pole = 3.587 x[1] = -1.012 y[1] (analytic) = 0.49403599743891738927665225398983 y[1] (numeric) = 0.49403599743891667057607574758807 absolute error = 7.1870057650640176934784958618278e-16 relative error = 1.4547534597319741030148336527744e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.438 Order of pole = 3.588 x[1] = -1.011 y[1] (analytic) = 0.49453024818989565906293441391489 y[1] (numeric) = 0.49453024818989493817897691357796 absolute error = 7.2088395750033693378189302893986e-16 relative error = 1.4577145890245388208759753135729e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.437 Order of pole = 3.588 x[1] = -1.01 y[1] (analytic) = 0.49502499876243750309390624226523 y[1] (numeric) = 0.49502499876243678002590995811323 absolute error = 7.2306799628415200232748599807763e-16 relative error = 1.4606696592936154599017544647166e-13 % h = 0.001 TOP MAIN SOLVE Loop memory used=213.6MB, alloc=4.5MB, time=14.94 Complex estimate of poles used Radius of convergence = 1.437 Order of pole = 3.589 x[1] = -1.009 y[1] (analytic) = 0.4955202491872229112706576197883 y[1] (numeric) = 0.49552024918722218601802021722135 absolute error = 7.2525263740256695554392781726123e-16 relative error = 1.4636185677420097242110453933864e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.436 Order of pole = 3.59 x[1] = -1.008 y[1] (analytic) = 0.49601599949207961652011047268341 y[1] (numeric) = 0.49601599949207888908228559526332 absolute error = 7.2743782487742008270123687036450e-16 relative error = 1.4665612109736710416109864098145e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.435 Order of pole = 3.59 x[1] = -1.007 y[1] (analytic) = 0.49651224970196852211639339459963 y[1] (numeric) = 0.4965122497019677924928911896795 absolute error = 7.2962350220492013809286419703084e-16 relative error = 1.4694974849923171992057950431658e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.434 Order of pole = 3.591 x[1] = -1.006 y[1] (analytic) = 0.4970089998389690840521740167671 y[1] (numeric) = 0.49700899983896835224256166387019 absolute error = 7.3180961235289690544619255731972e-16 relative error = 1.4724272852000732780463354882593e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.434 Order of pole = 3.591 x[1] = -1.005 y[1] (analytic) = 0.49750624992226464844964614867974 y[1] (numeric) = 0.49750624992226391445354839062941 absolute error = 7.3399609775805033216829652907521e-16 relative error = 1.4753505063961251189165802308544e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.433 Order of pole = 3.592 x[1] = -1.004 y[1] (analytic) = 0.49800399996812774400203982438387 y[1] (numeric) = 0.49800399996812700781913950118547 absolute error = 7.3618290032319839739202329544277e-16 relative error = 1.4782670427753875531375410496218e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.432 Order of pole = 3.593 x[1] = -1.003 y[1] (analytic) = 0.49850224998990532943770441707889 y[1] (numeric) = 0.49850224998990459106774300255501 absolute error = 7.3836996141452388003153344745934e-16 relative error = 1.4811767879271876340581763794045e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.432 Order of pole = 3.593 x[1] = -1.002 y[1] (analytic) = 0.499000999998003996000007984016 y[1] (numeric) = 0.4990009999980032554427861251958 absolute error = 7.4055722185882019531702998396480e-16 relative error = 1.4840796348339631066961093559854e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.431 Order of pole = 3.594 x[1] = -1.001 y[1] (analytic) = 0.49950024999987512493750003121877 y[1] (numeric) = 0.4995002499998743821928780904823 absolute error = 7.4274462194073647055551359048169e-16 relative error = 1.4869754758699763547886087636579e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.43 Order of pole = 3.595 x[1] = -1 y[1] (analytic) = 0.5 y[1] (numeric) = 0.49999999999999925506789859997797 absolute error = 7.4493210140002203315804327670419e-16 relative error = 1.4898642028000440663160865534084e-13 % h = 0.001 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = m1 * 2.0 * x / (x * x + 1.0) /( x * x + 1.0); Iterations = 1000 Total Elapsed Time = 15 Seconds Elapsed Time(since restart) = 15 Seconds Expected Time Remaining = 30 Seconds Optimized Time Remaining = 30 Seconds Time to Timeout = 14 Minutes 44 Seconds Percent Done = 33.37 % > quit memory used=215.7MB, alloc=4.5MB, time=15.08