|\^/| 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 > DEBUGL, > DEBUGMASSIVE, > INFO, > ALWAYS, > glob_max_terms, > glob_iolevel, > #Top Generate Globals Decl > glob_max_sec, > glob_max_trunc_err, > glob_log10_relerr, > glob_look_poles, > glob_large_float, > glob_not_yet_start_msg, > glob_almost_1, > glob_log10abserr, > glob_start, > glob_warned2, > glob_smallish_float, > glob_abserr, > glob_h, > glob_max_opt_iter, > glob_html_log, > glob_optimal_clock_start_sec, > glob_dump_analytic, > glob_hmin_init, > glob_hmin, > glob_clock_start_sec, > days_in_year, > glob_current_iter, > years_in_century, > sec_in_min, > glob_optimal_start, > glob_disp_incr, > glob_optimal_expect_sec, > glob_clock_sec, > glob_display_flag, > glob_dump, > glob_curr_iter_when_opt, > glob_orig_start_sec, > glob_last_good_h, > glob_reached_optimal_h, > hours_in_day, > min_in_hour, > glob_log10relerr, > glob_normmax, > glob_unchanged_h_cnt, > glob_small_float, > glob_max_rel_trunc_err, > glob_max_iter, > glob_max_hours, > glob_relerr, > glob_hmax, > glob_initial_pass, > glob_not_yet_finished, > centuries_in_millinium, > djd_debug2, > glob_max_minutes, > glob_warned, > glob_log10_abserr, > glob_optimal_done, > glob_subiter_method, > glob_percent_done, > glob_iter, > glob_no_eqs, > MAX_UNCHANGED, > djd_debug, > glob_log10normmin, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_2D0, > array_const_0D0, > array_const_1D0, > array_const_1, > #END CONST > array_type_pole, > array_m1, > array_y, > array_x, > array_y_init, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8, > array_tmp9, > array_norms, > array_last_rel_error, > array_fact_1, > array_1st_rel_error, > array_pole, > array_y_higher, > array_complex_pole, > array_y_higher_work, > array_y_higher_work2, > array_fact_2, > array_y_set_initial, > array_poles, > array_real_pole, > 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 DEBUGL, DEBUGMASSIVE, INFO, ALWAYS, glob_max_terms, glob_iolevel, glob_max_sec, glob_max_trunc_err, glob_log10_relerr, glob_look_poles, glob_large_float, glob_not_yet_start_msg, glob_almost_1, glob_log10abserr, glob_start, glob_warned2, glob_smallish_float, glob_abserr, glob_h, glob_max_opt_iter, glob_html_log, glob_optimal_clock_start_sec, glob_dump_analytic, glob_hmin_init, glob_hmin, glob_clock_start_sec, days_in_year, glob_current_iter, years_in_century, sec_in_min, glob_optimal_start, glob_disp_incr, glob_optimal_expect_sec, glob_clock_sec, glob_display_flag, glob_dump, glob_curr_iter_when_opt, glob_orig_start_sec, glob_last_good_h, glob_reached_optimal_h, hours_in_day, min_in_hour, glob_log10relerr, glob_normmax, glob_unchanged_h_cnt, glob_small_float, glob_max_rel_trunc_err, glob_max_iter, glob_max_hours, glob_relerr, glob_hmax, glob_initial_pass, glob_not_yet_finished, centuries_in_millinium, djd_debug2, glob_max_minutes, glob_warned, glob_log10_abserr, glob_optimal_done, glob_subiter_method, glob_percent_done, glob_iter, glob_no_eqs, MAX_UNCHANGED, djd_debug, glob_log10normmin, array_const_2D0, array_const_0D0, array_const_1D0, array_const_1, array_type_pole, array_m1, array_y, array_x, array_y_init, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9, array_norms, array_last_rel_error, array_fact_1, array_1st_rel_error, array_pole, array_y_higher, array_complex_pole, array_y_higher_work, array_y_higher_work2, array_fact_2, array_y_set_initial, array_poles, array_real_pole, 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 > DEBUGL, > DEBUGMASSIVE, > INFO, > ALWAYS, > glob_max_terms, > glob_iolevel, > #Top Generate Globals Decl > glob_max_sec, > glob_max_trunc_err, > glob_log10_relerr, > glob_look_poles, > glob_large_float, > glob_not_yet_start_msg, > glob_almost_1, > glob_log10abserr, > glob_start, > glob_warned2, > glob_smallish_float, > glob_abserr, > glob_h, > glob_max_opt_iter, > glob_html_log, > glob_optimal_clock_start_sec, > glob_dump_analytic, > glob_hmin_init, > glob_hmin, > glob_clock_start_sec, > days_in_year, > glob_current_iter, > years_in_century, > sec_in_min, > glob_optimal_start, > glob_disp_incr, > glob_optimal_expect_sec, > glob_clock_sec, > glob_display_flag, > glob_dump, > glob_curr_iter_when_opt, > glob_orig_start_sec, > glob_last_good_h, > glob_reached_optimal_h, > hours_in_day, > min_in_hour, > glob_log10relerr, > glob_normmax, > glob_unchanged_h_cnt, > glob_small_float, > glob_max_rel_trunc_err, > glob_max_iter, > glob_max_hours, > glob_relerr, > glob_hmax, > glob_initial_pass, > glob_not_yet_finished, > centuries_in_millinium, > djd_debug2, > glob_max_minutes, > glob_warned, > glob_log10_abserr, > glob_optimal_done, > glob_subiter_method, > glob_percent_done, > glob_iter, > glob_no_eqs, > MAX_UNCHANGED, > djd_debug, > glob_log10normmin, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_2D0, > array_const_0D0, > array_const_1D0, > array_const_1, > #END CONST > array_type_pole, > array_m1, > array_y, > array_x, > array_y_init, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8, > array_tmp9, > array_norms, > array_last_rel_error, > array_fact_1, > array_1st_rel_error, > array_pole, > array_y_higher, > array_complex_pole, > array_y_higher_work, > array_y_higher_work2, > array_fact_2, > array_y_set_initial, > array_poles, > array_real_pole, > 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 DEBUGL, DEBUGMASSIVE, INFO, ALWAYS, glob_max_terms, glob_iolevel, glob_max_sec, glob_max_trunc_err, glob_log10_relerr, glob_look_poles, glob_large_float, glob_not_yet_start_msg, glob_almost_1, glob_log10abserr, glob_start, glob_warned2, glob_smallish_float, glob_abserr, glob_h, glob_max_opt_iter, glob_html_log, glob_optimal_clock_start_sec, glob_dump_analytic, glob_hmin_init, glob_hmin, glob_clock_start_sec, days_in_year, glob_current_iter, years_in_century, sec_in_min, glob_optimal_start, glob_disp_incr, glob_optimal_expect_sec, glob_clock_sec, glob_display_flag, glob_dump, glob_curr_iter_when_opt, glob_orig_start_sec, glob_last_good_h, glob_reached_optimal_h, hours_in_day, min_in_hour, glob_log10relerr, glob_normmax, glob_unchanged_h_cnt, glob_small_float, glob_max_rel_trunc_err, glob_max_iter, glob_max_hours, glob_relerr, glob_hmax, glob_initial_pass, glob_not_yet_finished, centuries_in_millinium, djd_debug2, glob_max_minutes, glob_warned, glob_log10_abserr, glob_optimal_done, glob_subiter_method, glob_percent_done, glob_iter, glob_no_eqs, MAX_UNCHANGED, djd_debug, glob_log10normmin, array_const_2D0, array_const_0D0, array_const_1D0, array_const_1, array_type_pole, array_m1, array_y, array_x, array_y_init, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9, array_norms, array_last_rel_error, array_fact_1, array_1st_rel_error, array_pole, array_y_higher, array_complex_pole, array_y_higher_work, array_y_higher_work2, array_fact_2, array_y_set_initial, array_poles, array_real_pole, 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 > DEBUGL, > DEBUGMASSIVE, > INFO, > ALWAYS, > glob_max_terms, > glob_iolevel, > #Top Generate Globals Decl > glob_max_sec, > glob_max_trunc_err, > glob_log10_relerr, > glob_look_poles, > glob_large_float, > glob_not_yet_start_msg, > glob_almost_1, > glob_log10abserr, > glob_start, > glob_warned2, > glob_smallish_float, > glob_abserr, > glob_h, > glob_max_opt_iter, > glob_html_log, > glob_optimal_clock_start_sec, > glob_dump_analytic, > glob_hmin_init, > glob_hmin, > glob_clock_start_sec, > days_in_year, > glob_current_iter, > years_in_century, > sec_in_min, > glob_optimal_start, > glob_disp_incr, > glob_optimal_expect_sec, > glob_clock_sec, > glob_display_flag, > glob_dump, > glob_curr_iter_when_opt, > glob_orig_start_sec, > glob_last_good_h, > glob_reached_optimal_h, > hours_in_day, > min_in_hour, > glob_log10relerr, > glob_normmax, > glob_unchanged_h_cnt, > glob_small_float, > glob_max_rel_trunc_err, > glob_max_iter, > glob_max_hours, > glob_relerr, > glob_hmax, > glob_initial_pass, > glob_not_yet_finished, > centuries_in_millinium, > djd_debug2, > glob_max_minutes, > glob_warned, > glob_log10_abserr, > glob_optimal_done, > glob_subiter_method, > glob_percent_done, > glob_iter, > glob_no_eqs, > MAX_UNCHANGED, > djd_debug, > glob_log10normmin, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_2D0, > array_const_0D0, > array_const_1D0, > array_const_1, > #END CONST > array_type_pole, > array_m1, > array_y, > array_x, > array_y_init, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8, > array_tmp9, > array_norms, > array_last_rel_error, > array_fact_1, > array_1st_rel_error, > array_pole, > array_y_higher, > array_complex_pole, > array_y_higher_work, > array_y_higher_work2, > array_fact_2, > array_y_set_initial, > array_poles, > array_real_pole, > 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 DEBUGL, DEBUGMASSIVE, INFO, ALWAYS, glob_max_terms, glob_iolevel, glob_max_sec, glob_max_trunc_err, glob_log10_relerr, glob_look_poles, glob_large_float, glob_not_yet_start_msg, glob_almost_1, glob_log10abserr, glob_start, glob_warned2, glob_smallish_float, glob_abserr, glob_h, glob_max_opt_iter, glob_html_log, glob_optimal_clock_start_sec, glob_dump_analytic, glob_hmin_init, glob_hmin, glob_clock_start_sec, days_in_year, glob_current_iter, years_in_century, sec_in_min, glob_optimal_start, glob_disp_incr, glob_optimal_expect_sec, glob_clock_sec, glob_display_flag, glob_dump, glob_curr_iter_when_opt, glob_orig_start_sec, glob_last_good_h, glob_reached_optimal_h, hours_in_day, min_in_hour, glob_log10relerr, glob_normmax, glob_unchanged_h_cnt, glob_small_float, glob_max_rel_trunc_err, glob_max_iter, glob_max_hours, glob_relerr, glob_hmax, glob_initial_pass, glob_not_yet_finished, centuries_in_millinium, djd_debug2, glob_max_minutes, glob_warned, glob_log10_abserr, glob_optimal_done, glob_subiter_method, glob_percent_done, glob_iter, glob_no_eqs, MAX_UNCHANGED, djd_debug, glob_log10normmin, array_const_2D0, array_const_0D0, array_const_1D0, array_const_1, array_type_pole, array_m1, array_y, array_x, array_y_init, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9, array_norms, array_last_rel_error, array_fact_1, array_1st_rel_error, array_pole, array_y_higher, array_complex_pole, array_y_higher_work, array_y_higher_work2, array_fact_2, array_y_set_initial, array_poles, array_real_pole, 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 > DEBUGL, > DEBUGMASSIVE, > INFO, > ALWAYS, > glob_max_terms, > glob_iolevel, > #Top Generate Globals Decl > glob_max_sec, > glob_max_trunc_err, > glob_log10_relerr, > glob_look_poles, > glob_large_float, > glob_not_yet_start_msg, > glob_almost_1, > glob_log10abserr, > glob_start, > glob_warned2, > glob_smallish_float, > glob_abserr, > glob_h, > glob_max_opt_iter, > glob_html_log, > glob_optimal_clock_start_sec, > glob_dump_analytic, > glob_hmin_init, > glob_hmin, > glob_clock_start_sec, > days_in_year, > glob_current_iter, > years_in_century, > sec_in_min, > glob_optimal_start, > glob_disp_incr, > glob_optimal_expect_sec, > glob_clock_sec, > glob_display_flag, > glob_dump, > glob_curr_iter_when_opt, > glob_orig_start_sec, > glob_last_good_h, > glob_reached_optimal_h, > hours_in_day, > min_in_hour, > glob_log10relerr, > glob_normmax, > glob_unchanged_h_cnt, > glob_small_float, > glob_max_rel_trunc_err, > glob_max_iter, > glob_max_hours, > glob_relerr, > glob_hmax, > glob_initial_pass, > glob_not_yet_finished, > centuries_in_millinium, > djd_debug2, > glob_max_minutes, > glob_warned, > glob_log10_abserr, > glob_optimal_done, > glob_subiter_method, > glob_percent_done, > glob_iter, > glob_no_eqs, > MAX_UNCHANGED, > djd_debug, > glob_log10normmin, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_2D0, > array_const_0D0, > array_const_1D0, > array_const_1, > #END CONST > array_type_pole, > array_m1, > array_y, > array_x, > array_y_init, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8, > array_tmp9, > array_norms, > array_last_rel_error, > array_fact_1, > array_1st_rel_error, > array_pole, > array_y_higher, > array_complex_pole, > array_y_higher_work, > array_y_higher_work2, > array_fact_2, > array_y_set_initial, > array_poles, > array_real_pole, > 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 DEBUGL, DEBUGMASSIVE, INFO, ALWAYS, glob_max_terms, glob_iolevel, glob_max_sec, glob_max_trunc_err, glob_log10_relerr, glob_look_poles, glob_large_float, glob_not_yet_start_msg, glob_almost_1, glob_log10abserr, glob_start, glob_warned2, glob_smallish_float, glob_abserr, glob_h, glob_max_opt_iter, glob_html_log, glob_optimal_clock_start_sec, glob_dump_analytic, glob_hmin_init, glob_hmin, glob_clock_start_sec, days_in_year, glob_current_iter, years_in_century, sec_in_min, glob_optimal_start, glob_disp_incr, glob_optimal_expect_sec, glob_clock_sec, glob_display_flag, glob_dump, glob_curr_iter_when_opt, glob_orig_start_sec, glob_last_good_h, glob_reached_optimal_h, hours_in_day, min_in_hour, glob_log10relerr, glob_normmax, glob_unchanged_h_cnt, glob_small_float, glob_max_rel_trunc_err, glob_max_iter, glob_max_hours, glob_relerr, glob_hmax, glob_initial_pass, glob_not_yet_finished, centuries_in_millinium, djd_debug2, glob_max_minutes, glob_warned, glob_log10_abserr, glob_optimal_done, glob_subiter_method, glob_percent_done, glob_iter, glob_no_eqs, MAX_UNCHANGED, djd_debug, glob_log10normmin, array_const_2D0, array_const_0D0, array_const_1D0, array_const_1, array_type_pole, array_m1, array_y, array_x, array_y_init, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9, array_norms, array_last_rel_error, array_fact_1, array_1st_rel_error, array_pole, array_y_higher, array_complex_pole, array_y_higher_work, array_y_higher_work2, array_fact_2, array_y_set_initial, array_poles, array_real_pole, 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 > DEBUGL, > DEBUGMASSIVE, > INFO, > ALWAYS, > glob_max_terms, > glob_iolevel, > #Top Generate Globals Decl > glob_max_sec, > glob_max_trunc_err, > glob_log10_relerr, > glob_look_poles, > glob_large_float, > glob_not_yet_start_msg, > glob_almost_1, > glob_log10abserr, > glob_start, > glob_warned2, > glob_smallish_float, > glob_abserr, > glob_h, > glob_max_opt_iter, > glob_html_log, > glob_optimal_clock_start_sec, > glob_dump_analytic, > glob_hmin_init, > glob_hmin, > glob_clock_start_sec, > days_in_year, > glob_current_iter, > years_in_century, > sec_in_min, > glob_optimal_start, > glob_disp_incr, > glob_optimal_expect_sec, > glob_clock_sec, > glob_display_flag, > glob_dump, > glob_curr_iter_when_opt, > glob_orig_start_sec, > glob_last_good_h, > glob_reached_optimal_h, > hours_in_day, > min_in_hour, > glob_log10relerr, > glob_normmax, > glob_unchanged_h_cnt, > glob_small_float, > glob_max_rel_trunc_err, > glob_max_iter, > glob_max_hours, > glob_relerr, > glob_hmax, > glob_initial_pass, > glob_not_yet_finished, > centuries_in_millinium, > djd_debug2, > glob_max_minutes, > glob_warned, > glob_log10_abserr, > glob_optimal_done, > glob_subiter_method, > glob_percent_done, > glob_iter, > glob_no_eqs, > MAX_UNCHANGED, > djd_debug, > glob_log10normmin, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_2D0, > array_const_0D0, > array_const_1D0, > array_const_1, > #END CONST > array_type_pole, > array_m1, > array_y, > array_x, > array_y_init, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8, > array_tmp9, > array_norms, > array_last_rel_error, > array_fact_1, > array_1st_rel_error, > array_pole, > array_y_higher, > array_complex_pole, > array_y_higher_work, > array_y_higher_work2, > array_fact_2, > array_y_set_initial, > array_poles, > array_real_pole, > 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 DEBUGL, DEBUGMASSIVE, INFO, ALWAYS, glob_max_terms, glob_iolevel, glob_max_sec, glob_max_trunc_err, glob_log10_relerr, glob_look_poles, glob_large_float, glob_not_yet_start_msg, glob_almost_1, glob_log10abserr, glob_start, glob_warned2, glob_smallish_float, glob_abserr, glob_h, glob_max_opt_iter, glob_html_log, glob_optimal_clock_start_sec, glob_dump_analytic, glob_hmin_init, glob_hmin, glob_clock_start_sec, days_in_year, glob_current_iter, years_in_century, sec_in_min, glob_optimal_start, glob_disp_incr, glob_optimal_expect_sec, glob_clock_sec, glob_display_flag, glob_dump, glob_curr_iter_when_opt, glob_orig_start_sec, glob_last_good_h, glob_reached_optimal_h, hours_in_day, min_in_hour, glob_log10relerr, glob_normmax, glob_unchanged_h_cnt, glob_small_float, glob_max_rel_trunc_err, glob_max_iter, glob_max_hours, glob_relerr, glob_hmax, glob_initial_pass, glob_not_yet_finished, centuries_in_millinium, djd_debug2, glob_max_minutes, glob_warned, glob_log10_abserr, glob_optimal_done, glob_subiter_method, glob_percent_done, glob_iter, glob_no_eqs, MAX_UNCHANGED, djd_debug, glob_log10normmin, array_const_2D0, array_const_0D0, array_const_1D0, array_const_1, array_type_pole, array_m1, array_y, array_x, array_y_init, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9, array_norms, array_last_rel_error, array_fact_1, array_1st_rel_error, array_pole, array_y_higher, array_complex_pole, array_y_higher_work, array_y_higher_work2, array_fact_2, array_y_set_initial, array_poles, array_real_pole, 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 > DEBUGL, > DEBUGMASSIVE, > INFO, > ALWAYS, > glob_max_terms, > glob_iolevel, > #Top Generate Globals Decl > glob_max_sec, > glob_max_trunc_err, > glob_log10_relerr, > glob_look_poles, > glob_large_float, > glob_not_yet_start_msg, > glob_almost_1, > glob_log10abserr, > glob_start, > glob_warned2, > glob_smallish_float, > glob_abserr, > glob_h, > glob_max_opt_iter, > glob_html_log, > glob_optimal_clock_start_sec, > glob_dump_analytic, > glob_hmin_init, > glob_hmin, > glob_clock_start_sec, > days_in_year, > glob_current_iter, > years_in_century, > sec_in_min, > glob_optimal_start, > glob_disp_incr, > glob_optimal_expect_sec, > glob_clock_sec, > glob_display_flag, > glob_dump, > glob_curr_iter_when_opt, > glob_orig_start_sec, > glob_last_good_h, > glob_reached_optimal_h, > hours_in_day, > min_in_hour, > glob_log10relerr, > glob_normmax, > glob_unchanged_h_cnt, > glob_small_float, > glob_max_rel_trunc_err, > glob_max_iter, > glob_max_hours, > glob_relerr, > glob_hmax, > glob_initial_pass, > glob_not_yet_finished, > centuries_in_millinium, > djd_debug2, > glob_max_minutes, > glob_warned, > glob_log10_abserr, > glob_optimal_done, > glob_subiter_method, > glob_percent_done, > glob_iter, > glob_no_eqs, > MAX_UNCHANGED, > djd_debug, > glob_log10normmin, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_2D0, > array_const_0D0, > array_const_1D0, > array_const_1, > #END CONST > array_type_pole, > array_m1, > array_y, > array_x, > array_y_init, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8, > array_tmp9, > array_norms, > array_last_rel_error, > array_fact_1, > array_1st_rel_error, > array_pole, > array_y_higher, > array_complex_pole, > array_y_higher_work, > array_y_higher_work2, > array_fact_2, > array_y_set_initial, > array_poles, > array_real_pole, > 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 DEBUGL, DEBUGMASSIVE, INFO, ALWAYS, glob_max_terms, glob_iolevel, glob_max_sec, glob_max_trunc_err, glob_log10_relerr, glob_look_poles, glob_large_float, glob_not_yet_start_msg, glob_almost_1, glob_log10abserr, glob_start, glob_warned2, glob_smallish_float, glob_abserr, glob_h, glob_max_opt_iter, glob_html_log, glob_optimal_clock_start_sec, glob_dump_analytic, glob_hmin_init, glob_hmin, glob_clock_start_sec, days_in_year, glob_current_iter, years_in_century, sec_in_min, glob_optimal_start, glob_disp_incr, glob_optimal_expect_sec, glob_clock_sec, glob_display_flag, glob_dump, glob_curr_iter_when_opt, glob_orig_start_sec, glob_last_good_h, glob_reached_optimal_h, hours_in_day, min_in_hour, glob_log10relerr, glob_normmax, glob_unchanged_h_cnt, glob_small_float, glob_max_rel_trunc_err, glob_max_iter, glob_max_hours, glob_relerr, glob_hmax, glob_initial_pass, glob_not_yet_finished, centuries_in_millinium, djd_debug2, glob_max_minutes, glob_warned, glob_log10_abserr, glob_optimal_done, glob_subiter_method, glob_percent_done, glob_iter, glob_no_eqs, MAX_UNCHANGED, djd_debug, glob_log10normmin, array_const_2D0, array_const_0D0, array_const_1D0, array_const_1, array_type_pole, array_m1, array_y, array_x, array_y_init, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9, array_norms, array_last_rel_error, array_fact_1, array_1st_rel_error, array_pole, array_y_higher, array_complex_pole, array_y_higher_work, array_y_higher_work2, array_fact_2, array_y_set_initial, array_poles, array_real_pole, 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) > global glob_max_terms,array_fact_1; > local ret; > if (nnn <= glob_max_terms) then # if number 13 > if array_fact_1[nnn] = 0 then # if number 14 > ret := nnn!; > array_fact_1[nnn] := ret; > else > ret := array_fact_1[nnn]; > fi;# end if 14 > ; > else > ret := nnn!; > fi;# end if 13 > ; > ret; > # End Function number 17 > end; factorial_1 := proc(nnn) local ret; global glob_max_terms, array_fact_1; if nnn <= glob_max_terms then if array_fact_1[nnn] = 0 then ret := nnn!; array_fact_1[nnn] := ret else ret := array_fact_1[nnn] end if else ret := nnn! end if; ret end proc > # Begin Function number 18 > factorial_3 := proc(mmm,nnn) > global glob_max_terms,array_fact_2; > local ret; > if (nnn <= glob_max_terms) and (mmm <= glob_max_terms) then # if number 13 > if array_fact_2[mmm,nnn] = 0 then # if number 14 > ret := factorial_1(mmm)/factorial_1(nnn); > array_fact_2[mmm,nnn] := ret; > else > ret := array_fact_2[mmm,nnn]; > fi;# end if 14 > ; > else > ret := (mmm!)/(nnn!); > fi;# end if 13 > ; > ret; > # End Function number 18 > end; factorial_3 := proc(mmm, nnn) local ret; global glob_max_terms, array_fact_2; if nnn <= glob_max_terms and mmm <= glob_max_terms then if array_fact_2[mmm, nnn] = 0 then ret := factorial_1(mmm)/factorial_1(nnn); array_fact_2[mmm, nnn] := ret else ret := array_fact_2[mmm, nnn] end if else ret := mmm!/nnn! end if; ret 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,iiif,jjjf, > rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter, > x_start,x_end > ,it, log10norm, max_terms, opt_iter, tmp; > #Top Generate Globals Definition > #Bottom Generate Globals Deninition > global > DEBUGL, > DEBUGMASSIVE, > INFO, > ALWAYS, > glob_max_terms, > glob_iolevel, > #Top Generate Globals Decl > glob_max_sec, > glob_max_trunc_err, > glob_log10_relerr, > glob_look_poles, > glob_large_float, > glob_not_yet_start_msg, > glob_almost_1, > glob_log10abserr, > glob_start, > glob_warned2, > glob_smallish_float, > glob_abserr, > glob_h, > glob_max_opt_iter, > glob_html_log, > glob_optimal_clock_start_sec, > glob_dump_analytic, > glob_hmin_init, > glob_hmin, > glob_clock_start_sec, > days_in_year, > glob_current_iter, > years_in_century, > sec_in_min, > glob_optimal_start, > glob_disp_incr, > glob_optimal_expect_sec, > glob_clock_sec, > glob_display_flag, > glob_dump, > glob_curr_iter_when_opt, > glob_orig_start_sec, > glob_last_good_h, > glob_reached_optimal_h, > hours_in_day, > min_in_hour, > glob_log10relerr, > glob_normmax, > glob_unchanged_h_cnt, > glob_small_float, > glob_max_rel_trunc_err, > glob_max_iter, > glob_max_hours, > glob_relerr, > glob_hmax, > glob_initial_pass, > glob_not_yet_finished, > centuries_in_millinium, > djd_debug2, > glob_max_minutes, > glob_warned, > glob_log10_abserr, > glob_optimal_done, > glob_subiter_method, > glob_percent_done, > glob_iter, > glob_no_eqs, > MAX_UNCHANGED, > djd_debug, > glob_log10normmin, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_2D0, > array_const_0D0, > array_const_1D0, > array_const_1, > #END CONST > array_type_pole, > array_m1, > array_y, > array_x, > array_y_init, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8, > array_tmp9, > array_norms, > array_last_rel_error, > array_fact_1, > array_1st_rel_error, > array_pole, > array_y_higher, > array_complex_pole, > array_y_higher_work, > array_y_higher_work2, > array_fact_2, > array_y_set_initial, > array_poles, > array_real_pole, > glob_last; > glob_last; > ALWAYS := 1; > INFO := 2; > DEBUGL := 3; > DEBUGMASSIVE := 4; > glob_iolevel := INFO; > DEBUGL := 3; > DEBUGMASSIVE := 4; > INFO := 2; > ALWAYS := 1; > glob_max_terms := 30; > glob_iolevel := 5; > glob_max_sec := 10000.0; > glob_max_trunc_err := 0.1e-10; > glob_log10_relerr := 0.1e-10; > glob_look_poles := false; > glob_large_float := 9.0e100; > glob_not_yet_start_msg := true; > glob_almost_1 := 0.9990; > glob_log10abserr := 0.0; > glob_start := 0; > glob_warned2 := false; > glob_smallish_float := 0.1e-100; > glob_abserr := 0.1e-10; > glob_h := 0.1; > glob_max_opt_iter := 10; > glob_html_log := true; > glob_optimal_clock_start_sec := 0.0; > glob_dump_analytic := false; > glob_hmin_init := 0.001; > glob_hmin := 0.00000000001; > glob_clock_start_sec := 0.0; > days_in_year := 365.0; > glob_current_iter := 0; > years_in_century := 100.0; > sec_in_min := 60.0; > glob_optimal_start := 0.0; > glob_disp_incr := 0.1; > glob_optimal_expect_sec := 0.1; > glob_clock_sec := 0.0; > glob_display_flag := true; > glob_dump := false; > glob_curr_iter_when_opt := 0; > glob_orig_start_sec := 0.0; > glob_last_good_h := 0.1; > glob_reached_optimal_h := false; > hours_in_day := 24.0; > min_in_hour := 60.0; > glob_log10relerr := 0.0; > glob_normmax := 0.0; > glob_unchanged_h_cnt := 0; > glob_small_float := 0.1e-50; > glob_max_rel_trunc_err := 0.1e-10; > glob_max_iter := 1000; > glob_max_hours := 0.0; > glob_relerr := 0.1e-10; > glob_hmax := 1.0; > glob_initial_pass := true; > glob_not_yet_finished := true; > centuries_in_millinium := 10.0; > djd_debug2 := true; > glob_max_minutes := 0.0; > glob_warned := false; > glob_log10_abserr := 0.1e-10; > glob_optimal_done := false; > glob_subiter_method := 3; > glob_percent_done := 0.0; > glob_iter := 0; > glob_no_eqs := 0; > MAX_UNCHANGED := 10; > djd_debug := true; > glob_log10normmin := 0.1; > #Write Set Defaults > glob_orig_start_sec := elapsed_time_seconds(); > MAX_UNCHANGED := 10; > glob_curr_iter_when_opt := 0; > glob_display_flag := true; > glob_no_eqs := 1; > glob_iter := -1; > opt_iter := -1; > glob_max_iter := 50000; > glob_max_hours := 0.0; > glob_max_minutes := 15.0; > omniout_str(ALWAYS,"##############ECHO OF PROBLEM#################"); > omniout_str(ALWAYS,"##############temp/sing4postode.ode#################"); > omniout_str(ALWAYS,"diff ( y , x , 1 ) = m1 * 2.0 * x / (x * x + 1.0) /( x * x + 1.0);"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK"); > omniout_str(ALWAYS,"Digits := 32;"); > omniout_str(ALWAYS,"max_terms := 30;"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#END FIRST INPUT BLOCK"); > omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK"); > omniout_str(ALWAYS,"x_start := -2.0;"); > omniout_str(ALWAYS,"x_end := 1.0;"); > omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);"); > omniout_str(ALWAYS,"glob_h := 0.1;"); > omniout_str(ALWAYS,"glob_look_poles := true;"); > omniout_str(ALWAYS,"glob_max_iter := 50;"); > omniout_str(ALWAYS,"#END SECOND INPUT BLOCK"); > omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK"); > omniout_str(ALWAYS,"glob_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 := 32; > max_terms := 30; > #END FIRST INPUT BLOCK > #START OF INITS AFTER INPUT BLOCK > glob_max_terms := max_terms; > glob_html_log := true; > #END OF INITS AFTER INPUT BLOCK > array_type_pole:= Array(0..(max_terms + 1),[]); > array_m1:= Array(0..(max_terms + 1),[]); > array_y:= Array(0..(max_terms + 1),[]); > array_x:= Array(0..(max_terms + 1),[]); > array_y_init:= Array(0..(max_terms + 1),[]); > array_tmp0:= Array(0..(max_terms + 1),[]); > array_tmp1:= Array(0..(max_terms + 1),[]); > array_tmp2:= Array(0..(max_terms + 1),[]); > array_tmp3:= Array(0..(max_terms + 1),[]); > array_tmp4:= Array(0..(max_terms + 1),[]); > array_tmp5:= Array(0..(max_terms + 1),[]); > array_tmp6:= Array(0..(max_terms + 1),[]); > array_tmp7:= Array(0..(max_terms + 1),[]); > array_tmp8:= Array(0..(max_terms + 1),[]); > array_tmp9:= Array(0..(max_terms + 1),[]); > array_norms:= Array(0..(max_terms + 1),[]); > array_last_rel_error:= Array(0..(max_terms + 1),[]); > array_fact_1:= Array(0..(max_terms + 1),[]); > array_1st_rel_error:= Array(0..(max_terms + 1),[]); > array_pole:= Array(0..(max_terms + 1),[]); > array_y_higher := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_complex_pole := Array(0..(1+ 1) ,(0..3+ 1),[]); > array_y_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_fact_2 := Array(0..(max_terms+ 1) ,(0..max_terms+ 1),[]); > array_y_set_initial := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_poles := Array(0..(1+ 1) ,(0..3+ 1),[]); > array_real_pole := Array(0..(1+ 1) ,(0..3+ 1),[]); > 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_m1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_y[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_x[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_y_init[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_norms[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_fact_1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_1st_rel_error[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_pole[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y_higher[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=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 <=2 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y_higher_work[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y_higher_work2[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=max_terms do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_fact_2[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y_set_initial[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=1 do # do number 2 > term := 1; > while term <= 3 do # do number 3 > array_poles[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=1 do # do number 2 > term := 1; > while term <= 3 do # do number 3 > array_real_pole[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > #BEGIN ARRAYS DEFINED AND INITIALIZATED > 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_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_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_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_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_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_m1[1] := -1.0; > #END ARRAYS DEFINED AND INITIALIZATED > #Initing Factorial Tables > iiif := 0; > while iiif <= glob_max_terms do # do number 2 > jjjf := 0; > while jjjf <= glob_max_terms do # do number 3 > array_fact_1[iiif] := 0; > array_fact_2[iiif,jjjf] := 0; > jjjf := jjjf + 1; > od;# end do number 3 > ; > iiif := iiif + 1; > od;# end do number 2 > ; > #Done Initing Factorial Tables > #TOP SECOND INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > #END FIRST INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > x_start := -2.0; > x_end := 1.0; > array_y_init[0 + 1] := exact_soln_y(x_start); > glob_h := 0.1; > glob_look_poles := true; > glob_max_iter := 50; > #END SECOND INPUT BLOCK > #BEGIN OVERRIDE BLOCK > glob_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)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 2; > #adjust_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y_higher_work[1,iii] := array_y_higher[1,iii] / (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)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 1; > #adjust_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y_higher_work[1,iii] := array_y_higher[1,iii] / (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)) / (factorial_1(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #END SUM AND ADJUST EQ =1 > #END PART 1 > #START PART 2 MOVE TERMS to REGULAR Array > term_no := glob_max_terms; > while (term_no >= 1) do # do number 3 > array_y[term_no] := array_y_higher_work2[1,term_no]; > ord := 1; > while ord <= order_diff do # do number 4 > array_y_higher[ord,term_no] := array_y_higher_work2[ord,term_no]; > ord := ord + 1; > od;# end do number 4 > ; > term_no := term_no - 1; > od;# end do number 3 > ; > #END PART 2 HEVE MOVED TERMS to REGULAR Array > display_alot(current_iter) > ; > od;# end do number 2 > ;#right paren 0001C > omniout_str(ALWAYS,"Finished!"); > if (glob_iter >= glob_max_iter) then # if number 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,"2012-06-18T01:00:57-05:00") > ; > 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," 092 ") > ; > logitem_str(html_log_file,"sing4 diffeq.mxt") > ; > logitem_str(html_log_file,"sing4 maple results") > ; > logitem_str(html_log_file,"Mostly affecting speed of factorials") > ; > 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, iiif, jjjf, rows, r_order, sub_iter, calc_term, iii, temp_sum, current_iter, x_start, x_end, it, log10norm, max_terms, opt_iter, tmp; global DEBUGL, DEBUGMASSIVE, INFO, ALWAYS, glob_max_terms, glob_iolevel, glob_max_sec, glob_max_trunc_err, glob_log10_relerr, glob_look_poles, glob_large_float, glob_not_yet_start_msg, glob_almost_1, glob_log10abserr, glob_start, glob_warned2, glob_smallish_float, glob_abserr, glob_h, glob_max_opt_iter, glob_html_log, glob_optimal_clock_start_sec, glob_dump_analytic, glob_hmin_init, glob_hmin, glob_clock_start_sec, days_in_year, glob_current_iter, years_in_century, sec_in_min, glob_optimal_start, glob_disp_incr, glob_optimal_expect_sec, glob_clock_sec, glob_display_flag, glob_dump, glob_curr_iter_when_opt, glob_orig_start_sec, glob_last_good_h, glob_reached_optimal_h, hours_in_day, min_in_hour, glob_log10relerr, glob_normmax, glob_unchanged_h_cnt, glob_small_float, glob_max_rel_trunc_err, glob_max_iter, glob_max_hours, glob_relerr, glob_hmax, glob_initial_pass, glob_not_yet_finished, centuries_in_millinium, djd_debug2, glob_max_minutes, glob_warned, glob_log10_abserr, glob_optimal_done, glob_subiter_method, glob_percent_done, glob_iter, glob_no_eqs, MAX_UNCHANGED, djd_debug, glob_log10normmin, array_const_2D0, array_const_0D0, array_const_1D0, array_const_1, array_type_pole, array_m1, array_y, array_x, array_y_init, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9, array_norms, array_last_rel_error, array_fact_1, array_1st_rel_error, array_pole, array_y_higher, array_complex_pole, array_y_higher_work, array_y_higher_work2, array_fact_2, array_y_set_initial, array_poles, array_real_pole, glob_last; glob_last; ALWAYS := 1; INFO := 2; DEBUGL := 3; DEBUGMASSIVE := 4; glob_iolevel := INFO; DEBUGL := 3; DEBUGMASSIVE := 4; INFO := 2; ALWAYS := 1; glob_max_terms := 30; glob_iolevel := 5; glob_max_sec := 10000.0; glob_max_trunc_err := 0.1*10^(-10); glob_log10_relerr := 0.1*10^(-10); glob_look_poles := false; glob_large_float := 0.90*10^101; glob_not_yet_start_msg := true; glob_almost_1 := 0.9990; glob_log10abserr := 0.; glob_start := 0; glob_warned2 := false; glob_smallish_float := 0.1*10^(-100); glob_abserr := 0.1*10^(-10); glob_h := 0.1; glob_max_opt_iter := 10; glob_html_log := true; glob_optimal_clock_start_sec := 0.; glob_dump_analytic := false; glob_hmin_init := 0.001; glob_hmin := 0.1*10^(-10); glob_clock_start_sec := 0.; days_in_year := 365.0; glob_current_iter := 0; years_in_century := 100.0; sec_in_min := 60.0; glob_optimal_start := 0.; glob_disp_incr := 0.1; glob_optimal_expect_sec := 0.1; glob_clock_sec := 0.; glob_display_flag := true; glob_dump := false; glob_curr_iter_when_opt := 0; glob_orig_start_sec := 0.; glob_last_good_h := 0.1; glob_reached_optimal_h := false; hours_in_day := 24.0; min_in_hour := 60.0; glob_log10relerr := 0.; glob_normmax := 0.; glob_unchanged_h_cnt := 0; glob_small_float := 0.1*10^(-50); glob_max_rel_trunc_err := 0.1*10^(-10); glob_max_iter := 1000; glob_max_hours := 0.; glob_relerr := 0.1*10^(-10); glob_hmax := 1.0; glob_initial_pass := true; glob_not_yet_finished := true; centuries_in_millinium := 10.0; djd_debug2 := true; glob_max_minutes := 0.; glob_warned := false; glob_log10_abserr := 0.1*10^(-10); glob_optimal_done := false; glob_subiter_method := 3; glob_percent_done := 0.; glob_iter := 0; glob_no_eqs := 0; MAX_UNCHANGED := 10; djd_debug := true; glob_log10normmin := 0.1; glob_orig_start_sec := elapsed_time_seconds(); MAX_UNCHANGED := 10; glob_curr_iter_when_opt := 0; glob_display_flag := true; glob_no_eqs := 1; glob_iter := -1; opt_iter := -1; glob_max_iter := 50000; glob_max_hours := 0.; glob_max_minutes := 15.0; omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################"); omniout_str(ALWAYS, "##############temp/sing4postode.ode#################"); omniout_str(ALWAYS, "diff ( y , x , 1 ) = m1 * 2.0 * x / (x * x + 1.\ 0) /( x * x + 1.0);"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK"); omniout_str(ALWAYS, "Digits := 32;"); omniout_str(ALWAYS, "max_terms := 30;"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#END FIRST INPUT BLOCK"); omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK"); omniout_str(ALWAYS, "x_start := -2.0;"); omniout_str(ALWAYS, "x_end := 1.0;"); omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);"); omniout_str(ALWAYS, "glob_h := 0.1;"); omniout_str(ALWAYS, "glob_look_poles := true;"); omniout_str(ALWAYS, "glob_max_iter := 50;"); omniout_str(ALWAYS, "#END SECOND INPUT BLOCK"); omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK"); omniout_str(ALWAYS, "glob_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 := 32; max_terms := 30; glob_max_terms := max_terms; glob_html_log := true; array_type_pole := Array(0 .. max_terms + 1, []); array_m1 := Array(0 .. max_terms + 1, []); array_y := Array(0 .. max_terms + 1, []); array_x := Array(0 .. max_terms + 1, []); array_y_init := Array(0 .. max_terms + 1, []); array_tmp0 := Array(0 .. max_terms + 1, []); array_tmp1 := Array(0 .. max_terms + 1, []); array_tmp2 := Array(0 .. max_terms + 1, []); array_tmp3 := Array(0 .. max_terms + 1, []); array_tmp4 := Array(0 .. max_terms + 1, []); array_tmp5 := Array(0 .. max_terms + 1, []); array_tmp6 := Array(0 .. max_terms + 1, []); array_tmp7 := Array(0 .. max_terms + 1, []); array_tmp8 := Array(0 .. max_terms + 1, []); array_tmp9 := Array(0 .. max_terms + 1, []); array_norms := Array(0 .. max_terms + 1, []); array_last_rel_error := Array(0 .. max_terms + 1, []); array_fact_1 := Array(0 .. max_terms + 1, []); array_1st_rel_error := Array(0 .. max_terms + 1, []); array_pole := Array(0 .. max_terms + 1, []); array_y_higher := Array(0 .. 3, 0 .. max_terms + 1, []); array_complex_pole := Array(0 .. 2, 0 .. 4, []); array_y_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []); array_y_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []); array_fact_2 := Array(0 .. max_terms + 1, 0 .. max_terms + 1, []); array_y_set_initial := Array(0 .. 3, 0 .. max_terms + 1, []); array_poles := Array(0 .. 2, 0 .. 4, []); array_real_pole := Array(0 .. 2, 0 .. 4, []); 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_m1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_y[term] := 0.; term := term + 1 end do ; term := 1; while term <= max_terms do array_x[term] := 0.; term := term + 1 end do ; term := 1; while term <= max_terms do array_y_init[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_norms[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_fact_1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_1st_rel_error[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_pole[term] := 0.; term := term + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_higher[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 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 <= 2 do term := 1; while term <= max_terms do array_y_higher_work[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_higher_work2[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= max_terms do term := 1; while term <= max_terms do array_fact_2[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_set_initial[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 1 do term := 1; while term <= 3 do array_poles[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 1 do term := 1; while term <= 3 do array_real_pole[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; 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_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_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_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_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_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms do array_m1[term] := 0.; term := term + 1 end do; array_m1[1] := -1.0; iiif := 0; while iiif <= glob_max_terms do jjjf := 0; while jjjf <= glob_max_terms do array_fact_1[iiif] := 0; array_fact_2[iiif, jjjf] := 0; jjjf := jjjf + 1 end do; iiif := iiif + 1 end do; x_start := -2.0; x_end := 1.0; array_y_init[1] := exact_soln_y(x_start); glob_h := 0.1; glob_look_poles := true; glob_max_iter := 50; glob_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)/factorial_1(calc_term - 1)!; ord := 1; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do array_y_higher_work[1, iii] := array_y_higher[1, iii]/( 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)/factorial_1(calc_term - 1)!; ord := 1; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y_higher_work[1, iii] := array_y_higher[1, iii]/( 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)/factorial_1(calc_term - 1)!; term_no := glob_max_terms; while 1 <= term_no do array_y[term_no] := array_y_higher_work2[1, term_no]; ord := 1; while ord <= order_diff do array_y_higher[ord, term_no] := array_y_higher_work2[ord, term_no]; ord := ord + 1 end do; term_no := term_no - 1 end do; display_alot(current_iter) end do; omniout_str(ALWAYS, "Finished!"); if glob_max_iter <= glob_iter then omniout_str(ALWAYS, "Maximum Iterations Reached before Solution Completed!") end if; if convfloat(glob_max_sec) <= elapsed_time_seconds() - convfloat(glob_orig_start_sec) then omniout_str(ALWAYS, "Maximum Time Reached before Solution Completed!") end if; glob_clock_sec := elapsed_time_seconds(); omniout_str(INFO, "diff ( y , x , 1 ) = m1 * 2.0 * x / (x * x + 1.0)\ /( x * x + 1.0);"); omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "); prog_report(x_start, x_end); if glob_html_log then logstart(html_log_file); logitem_str(html_log_file, "2012-06-18T01:00:57-05:00"); 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, " 092 "); logitem_str(html_log_file, "sing4 diffeq.mxt"); logitem_str(html_log_file, "sing4 maple results"); logitem_str(html_log_file, "Mostly affecting speed of factorials"); 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 := 32; max_terms := 30; ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start := -2.0; x_end := 1.0; array_y_init[0 + 1] := exact_soln_y(x_start); glob_h := 0.1; glob_look_poles := true; glob_max_iter := 50; #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK glob_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 = 1.303332638048e-20 relative error = 6.5114511630204460480000000000001e-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 = 2.627823097680e-20 relative error = 1.3118103414910950720000000000000e-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 = 3.973592375969e-20 relative error = 1.9820314533664755721000000000000e-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) = 0.20064141046096160199602400264422 absolute error = 5.340762036823e-20 relative error = 2.6618443443718421167999999999999e-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) = 0.20080220480820879406526503337082 absolute error = 6.729454213332e-20 relative error = 3.3512850218748693300000000000000e-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) = 0.20096317631142539957407081443032 absolute error = 8.139791610137e-20 relative error = 4.0503896084539676932000000000000e-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 = 9.571897505800e-20 relative error = 4.7591943421815384200000000000000e-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) = 0.2012856517146316954556596779569 absolute error = 1.1025895755182e-19 relative error = 5.4777355769072507648000000000000e-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 = 1.2501910791832e-19 relative error = 6.2060497825428186392000000000000e-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 = 1.4000067630385e-19 relative error = 6.9441735453472638500000000000001e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.25 Order of pole = 3.568 x[1] = -1.989 y[1] (analytic) = 0.20177069930294276511812362934642 y[1] (numeric) = 0.20177069930294276496291871065676 memory used=3.8MB, alloc=3.1MB, time=0.53 absolute error = 1.5520491868966e-19 relative error = 7.6921435682111640885999999999999e-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 = 1.7063309691599e-19 relative error = 8.4499966709393838256000000000002e-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 = 1.8628647870636e-19 relative error = 9.2177697905397065484000000000000e-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 = 2.0216633769178e-19 relative error = 9.9954999815034790887999999999999e-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) = 0.20241993026633402302965503765326 absolute error = 2.1827395343520e-19 relative error = 1.0783224416094109200000000000000e-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 = 2.3461061145597e-19 relative error = 1.1580980384632006483200000000000e-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 = 2.5117760325432e-19 relative error = 1.2388805295776467384800000000000e-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 = 2.6797622633607e-19 relative error = 1.3206736676814858466800000000000e-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 = 2.8500778423732e-19 relative error = 1.4034812173946733525200000000000e-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 = 3.0227358654923e-19 relative error = 1.4873069552568312920000000000000e-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 = 3.1977494894294e-19 relative error = 1.5721546697559768765400000000000e-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 = 3.3751319319453e-19 relative error = 1.6580281613570375125200000000000e-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 = 3.5548964721007e-19 relative error = 1.7449312425303976870300000000000e-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 = 3.7370564505077e-19 relative error = 1.8328677377805253235200000000000e-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 = 3.9216252695818e-19 relative error = 1.9218414836744308625000000000000e-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 = 4.1086163937956e-19 relative error = 2.0118563288705463425600000000000e-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 = 4.2980433499320e-19 relative error = 2.1029161341469444428000000000000e-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 = 4.4899197273397e-19 relative error = 2.1950247724302687924800000000001e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.233 Order of pole = 3.56 x[1] = -1.971 y[1] (analytic) = 0.20471495387465016773319745719461 y[1] (numeric) = 0.20471495387465016726477153937574 absolute error = 4.6842591781887e-19 relative error = 2.2881861288242467496700000000001e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.232 Order of pole = 3.559 x[1] = -1.97 y[1] (analytic) = 0.20488024749533897436948103833309 y[1] (numeric) = 0.20488024749533897388137349656042 absolute error = 4.8810754177267e-19 relative error = 2.3824041006382250030000000000000e-16 % h = 0.001 memory used=7.6MB, alloc=4.3MB, time=1.20 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.231 Order of pole = 3.559 x[1] = -1.969 y[1] (analytic) = 0.20504572417126157047390782907634 y[1] (numeric) = 0.20504572417126156996586960662269 absolute error = 5.0803822245365e-19 relative error = 2.4776825974157753576500000000001e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.23 Order of pole = 3.559 x[1] = -1.968 y[1] (analytic) = 0.20521138414257758632011662573384 y[1] (numeric) = 0.20521138414257758579189728165438 absolute error = 5.2821934407946e-19 relative error = 2.5740255409634664870399999999999e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.229 Order of pole = 3.558 x[1] = -1.967 y[1] (analytic) = 0.20537722764977185670666525093298 y[1] (numeric) = 0.20537722764977185615801295368001 absolute error = 5.4865229725297e-19 relative error = 2.6714368653791664443300000000000e-16 % 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 = 5.6933847898836e-19 relative error = 2.7699205170810935841599999999999e-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 = 5.9027929273714e-19 relative error = 2.8694804548361033965000000000000e-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 = 6.1147614841435e-19 relative error = 2.9701206497884285975999999999999e-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 = 6.3293046242479e-19 relative error = 3.0718450854881406175100000000001e-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 = 6.5464365768944e-19 relative error = 3.1746577579201086713600000000000e-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 = 6.7661716367181e-19 relative error = 3.2785626755321924630100000000000e-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 = 6.9885241640451e-19 relative error = 3.3835638592640756159999999999999e-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 = 7.2135085851585e-19 relative error = 3.4896653425758157438499999999999e-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 = 7.4411393925654e-19 relative error = 3.5968711714764498165600000000000e-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) = 0.20704581033485725874552487985594 absolute error = 7.6714311452649e-19 relative error = 3.7051854045526532000100000000001e-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) = 0.20721368870204660737013252703783 absolute error = 7.9043984690165e-19 relative error = 3.8146121129971611944000000000000e-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) = 0.20738175351641685724873774386541 absolute error = 8.1400560566098e-19 relative error = 3.9251553806373870845000000000000e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.217 Order of pole = 3.552 x[1] = -1.954 y[1] (analytic) = 0.20755000502271012154958494149996 y[1] (numeric) = 0.20755000502271012071174307468642 absolute error = 8.3784186681354e-19 relative error = 4.0368193039641860906399999999999e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.216 Order of pole = 3.552 x[1] = -1.953 y[1] (analytic) = 0.20771844346599825641138554641064 y[1] (numeric) = 0.20771844346599825554943543328508 absolute error = 8.6195011312556e-19 relative error = 4.1496079921600890820399999999999e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.215 Order of pole = 3.552 x[1] = -1.952 y[1] (analytic) = 0.20788706909168318675909048575724 y[1] (numeric) = 0.20788706909168318587275865160952 absolute error = 8.8633183414772e-19 relative error = 4.2635255671281141068800000000000e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.214 Order of pole = 3.551 x[1] = -1.951 y[1] (analytic) = 0.20805588214549722339022482726681 y[1] (numeric) = 0.20805588214549722247923630102435 absolute error = 9.1098852624246e-19 relative error = 4.3785761635202859864599999999999e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=11.4MB, alloc=4.3MB, time=1.90 Complex estimate of poles used Radius of convergence = 2.213 Order of pole = 3.551 x[1] = -1.95 y[1] (analytic) = 0.20822488287350338365434669442998 y[1] (numeric) = 0.20822488287350338271842500181865 absolute error = 9.3592169261133e-19 relative error = 4.4947639287659123250000000000001e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.212 Order of pole = 3.55 x[1] = -1.949 y[1] (analytic) = 0.20839407152209571081238052507387 y[1] (numeric) = 0.2083940715220957098512476817513 absolute error = 9.6113284332257e-19 relative error = 4.6120930231005277245700000000000e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.212 Order of pole = 3.55 x[1] = -1.948 y[1] (analytic) = 0.20856344833799959288414884422479 y[1] (numeric) = 0.20856344833799959189752534888619 absolute error = 9.8662349533860e-19 relative error = 4.7305676195939667744000000000001e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.211 Order of pole = 3.549 x[1] = -1.947 y[1] (analytic) = 0.20873301356827208097839007983829 y[1] (numeric) = 0.20873301356827207996599490729454 absolute error = 1.01239517254375e-18 relative error = 4.8501919041791503937500000000000e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.21 Order of pole = 3.549 x[1] = -1.946 y[1] (analytic) = 0.20890276746030220709951877158488 y[1] (numeric) = 0.20890276746030220606106936581289 absolute error = 1.03844940577199e-18 relative error = 4.9709700756804312828400000000000e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.209 Order of pole = 3.549 x[1] = -1.945 y[1] (analytic) = 0.2090727102618113014253532022099 y[1] (numeric) = 0.20907271026181130036056546937512 absolute error = 1.06478773283478e-18 relative error = 5.0929063458420736095000000000000e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.208 Order of pole = 3.548 x[1] = -1.944 y[1] (analytic) = 0.20924284222085330905000401746257 y[1] (numeric) = 0.20924284222085330795859231891355 absolute error = 1.09141169854902e-18 relative error = 5.2160049393567692467200000000000e-16 % 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) = 0.20941316358581510506776293887627 absolute error = 1.11832285476507e-18 relative error = 5.3402700938940457524299999999999e-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) = 0.20958367460541681467485900046012 absolute error = 1.14552276039485e-18 relative error = 5.4657060601286130753999999999999e-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) = 0.20975437552871212164404701313568 absolute error = 1.17301298144007e-18 relative error = 5.5923171017688863636700000000000e-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) = 0.20992526660508858726171225636382 absolute error = 1.20079509102051e-18 relative error = 5.7201074955853014360000000000000e-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) = 0.21009634808426796321694453699311 absolute error = 1.22887066940239e-18 relative error = 5.8490815314386131331900000000000e-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) = 0.21026762021630650501167752510209 absolute error = 1.25724130402687e-18 relative error = 5.9792435123083655282800000000001e-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 = 1.28590858953860e-18 relative error = 6.1105977543211515034000000000001e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.2 Order of pole = 3.545 x[1] = -1.936 y[1] (analytic) = 0.21061073744086050492660637021661 y[1] (numeric) = 0.21061073744086050361173224240223 absolute error = 1.31487412781438e-18 relative error = 6.2431485867789464204800000000000e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.199 Order of pole = 3.544 x[1] = -1.935 y[1] (analytic) = 0.21078258303516380441484120167151 y[1] (numeric) = 0.21078258303516380307070167367963 absolute error = 1.34413952799188e-18 relative error = 6.3769003521872768929999999999999e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.199 Order of pole = 3.544 x[1] = -1.934 y[1] (analytic) = 0.21095462028590257778107804561514 y[1] (numeric) = 0.21095462028590257640737163911664 absolute error = 1.37370640649850e-18 relative error = 6.5118574062836034660000000000000e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.198 Order of pole = 3.544 x[1] = -1.933 y[1] (analytic) = 0.21112684944481028035745464625802 y[1] (numeric) = 0.21112684944481027895387825917772 absolute error = 1.40357638708030e-18 relative error = 6.6480241180655830667000000000000e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.197 Order of pole = 3.543 x[1] = -1.932 y[1] (analytic) = 0.211299270763956739432500870553 y[1] (numeric) = 0.21129927076395673799874976972202 absolute error = 1.43375110083098e-18 relative error = 6.7854048698191158915199999999999e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.196 Order of pole = 3.543 memory used=15.2MB, alloc=4.3MB, time=2.60 x[1] = -1.931 y[1] (analytic) = 0.2114718844957484634981552250156 y[1] (numeric) = 0.21147188449574846203392303879459 absolute error = 1.46423218622101e-18 relative error = 6.9240040571466494686100000000000e-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) = 0.21164469089292894938224595462436 absolute error = 1.49502128912683e-18 relative error = 7.0638260889953590670000000000000e-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) = 0.21181769020857899619916976198996 absolute error = 1.52612006286011e-18 relative error = 7.2048753876851565745100000000000e-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) = 0.21199088269611700384230159583836 absolute error = 1.55753016819713e-18 relative error = 7.3471563889368104819200000000001e-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) = 0.21216426860929928560245347992891 absolute error = 1.58925327340827e-18 relative error = 7.4906735419001278308300000000002e-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 = 1.62129105428756e-18 relative error = 7.6354313091819609185600000000001e-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 = 1.65364519418230e-18 relative error = 7.7814341668740854375000000000001e-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 = 1.68631738402283e-18 relative error = 7.9286866045813255460800000000000e-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 = 1.71930932235235e-18 relative error = 8.0771931254494532831500000000000e-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 = 1.75262271535683e-18 relative error = 8.2269582461930499937200000000000e-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 = 1.78625927689504e-18 relative error = 8.3779864971234693046399999999999e-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) = 0.21338340730624786434570620899271 absolute error = 1.82022072852863e-18 relative error = 8.5302824221765716319999999999999e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.185 Order of pole = 3.538 x[1] = -1.919 y[1] (analytic) = 0.21355834980046175586393855840853 y[1] (numeric) = 0.21355834980046175400942975885619 absolute error = 1.85450879955234e-18 relative error = 8.6838505789406047427400000000000e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.184 Order of pole = 3.538 x[1] = -1.918 y[1] (analytic) = 0.21373348801938306256150181117758 y[1] (numeric) = 0.21373348801938306067237658415329 absolute error = 1.88912522702429e-18 relative error = 8.8386955386839942059599999999999e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.183 Order of pole = 3.537 x[1] = -1.917 y[1] (analytic) = 0.21390882222016394399952597804996 y[1] (numeric) = 0.21390882222016394207545422225363 absolute error = 1.92407175579633e-18 relative error = 8.9948218863829493573700000000000e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.182 Order of pole = 3.537 x[1] = -1.916 y[1] (analytic) = 0.21408435266029779989792458065157 y[1] (numeric) = 0.21408435266029779793857444210703 absolute error = 1.95935013854454e-18 relative error = 9.1522342207493048342400000000000e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.181 Order of pole = 3.536 x[1] = -1.915 y[1] (analytic) = 0.21426007959761957051567044657157 y[1] (numeric) = 0.2142600795976195685207083107718 absolute error = 1.99496213579977e-18 relative error = 9.3109371542580815382500000000000e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.18 Order of pole = 3.536 x[1] = -1.914 y[1] (analytic) = 0.21443600329030603448645579316018 y[1] (numeric) = 0.2144360032903060324555462771819 absolute error = 2.03090951597828e-18 relative error = 9.4709353131750470388799999999999e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.179 Order of pole = 3.536 x[1] = -1.913 y[1] (analytic) = 0.21461212399687610592310147140218 y[1] (numeric) = 0.21461212399687610385590741598969 absolute error = 2.06719405541249e-18 relative error = 9.6322333375843206168100000000001e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.178 Order of pole = 3.535 x[1] = -1.912 y[1] (analytic) = 0.21478844197619113078382316553487 y[1] (numeric) = 0.21478844197619112868000562715304 absolute error = 2.10381753838183e-18 relative error = 9.7948358814159747315200000000002e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=19.0MB, alloc=4.4MB, time=3.31 Complex estimate of poles used Radius of convergence = 2.177 Order of pole = 3.535 x[1] = -1.911 y[1] (analytic) = 0.21496495748745518249342583418764 y[1] (numeric) = 0.214964957487455180352644077044 absolute error = 2.14078175714364e-18 relative error = 9.9587476124733989324400000000000e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.176 Order of pole = 3.535 x[1] = -1.91 y[1] (analytic) = 0.21514167079021535681246100557217 y[1] (numeric) = 0.21514167079021535463437249360798 absolute error = 2.17808851196419e-18 relative error = 1.0123973212460751539000000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.175 Order of pole = 3.534 x[1] = -1.909 y[1] (analytic) = 0.21531858214436206594734470201092 y[1] (numeric) = 0.21531858214436206373160509086114 absolute error = 2.21573961114978e-18 relative error = 1.0290517377010311408180000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.175 Order of pole = 3.534 x[1] = -1.908 y[1] (analytic) = 0.21549569181012933189439676721983 y[1] (numeric) = 0.21549569181012932964065989614184 absolute error = 2.25373687107799e-18 relative error = 1.0458384815710053787360000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.174 Order of pole = 3.534 x[1] = -1.907 y[1] (analytic) = 0.21567300004809507901072520261939 y[1] (numeric) = 0.21567300004809507671864308639053 absolute error = 2.29208211622886e-18 relative error = 1.0627580252130427490140000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.173 Order of pole = 3.533 x[1] = -1.906 y[1] (analytic) = 0.21585050711918142580484178589529 y[1] (numeric) = 0.2158505071191814234740646066789 absolute error = 2.33077717921639e-18 relative error = 1.0798108423852143382040000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.172 Order of pole = 3.533 x[1] = -1.905 y[1] (analytic) = 0.21602821328465497593985774542155 y[1] (numeric) = 0.21602821328465497357003384460161 absolute error = 2.36982390081994e-18 relative error = 1.0969974082493022758500000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.171 Order of pole = 3.532 x[1] = -1.904 y[1] (analytic) = 0.21620611880612710844207059735156 y[1] (numeric) = 0.21620611880612710603284646733574 absolute error = 2.40922413001582e-18 relative error = 1.1143181993735250917120000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.17 Order of pole = 3.532 x[1] = -1.903 y[1] (analytic) = 0.21638422394555426710771541752742 y[1] (numeric) = 0.21638422394555426465873569351849 absolute error = 2.44897972400893e-18 relative error = 1.1317736937352385182370000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.169 Order of pole = 3.532 x[1] = -1.902 y[1] (analytic) = 0.21656252896523824910061581720737 y[1] (numeric) = 0.21656252896523824661152326894284 absolute error = 2.48909254826453e-18 relative error = 1.1493643707236486786120000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.168 Order of pole = 3.531 x[1] = -1.901 y[1] (analytic) = 0.21674103412782649273343171931342 y[1] (numeric) = 0.21674103412782649020386724277339 absolute error = 2.52956447654003e-18 relative error = 1.1670907111424866954030000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.167 Order of pole = 3.531 x[1] = -1.9 y[1] (analytic) = 0.21691973969631236442516268980477 y[1] (numeric) = 0.21691973969631236185476529888777 absolute error = 2.57039739091700e-18 relative error = 1.1849531972127370000000000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.166 Order of pole = 3.531 x[1] = -1.899 y[1] (analytic) = 0.21709864593403544482752706623094 y[1] (numeric) = 0.21709864593403544221593388439782 absolute error = 2.61159318183312e-18 relative error = 1.2029523125752899177120000000000e-15 % 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 = 2.65315374811431e-18 relative error = 1.2210885422936292801240000000000e-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 = 2.69508099700695e-18 relative error = 1.2393623728565133332550000000000e-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) = 0.2176365713012229406840789877535 absolute error = 2.73737684421017e-18 relative error = 1.2577742921806396478720000000000e-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) = 0.21781628285622491431363412394114 absolute error = 2.78004321390825e-18 relative error = 1.2763247896133123456250000000000e-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) = 0.21799619640236516870940506236201 absolute error = 2.82308203880305e-18 relative error = 1.2950143559350747869800000000000e-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) = 0.21817631220506653109079323591823 absolute error = 2.86649526014663e-18 relative error = 1.3138434833623811126870000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.16 Order of pole = 3.529 memory used=22.8MB, alloc=4.4MB, time=4.02 x[1] = -1.892 y[1] (analytic) = 0.21835663053010002480531322821936 y[1] (numeric) = 0.21835663053010002189502840044546 absolute error = 2.91028482777390e-18 relative error = 1.3328126655502329969600000000000e-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) = 0.21853715164358513398420457700974 absolute error = 2.95445270013536e-18 relative error = 1.3519223975948091252160000000000e-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) = 0.2187178758119901109530124537169 absolute error = 2.99900084432995e-18 relative error = 1.3711731760360964395000000000000e-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) = 0.21889880330213222452939384325114 absolute error = 3.04393123613798e-18 relative error = 1.3905654988605092931580000000000e-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) = 0.21907993438117805106030336107285 absolute error = 3.08924586005417e-18 relative error = 1.4100998655035101348480000000000e-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) = 0.21926126931664374707472187946329 absolute error = 3.13494670932075e-18 relative error = 1.4297767768522087656750000000000e-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) = 0.21944280837639532391602552372666 absolute error = 3.18103578596069e-18 relative error = 1.4495967352479720487240000000000e-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) = 0.21962455182864892143577300816674 absolute error = 3.22751510081096e-18 relative error = 1.4695602444889983346000000000000e-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) = 0.21980649994197108074093296026397 absolute error = 3.27438667355599e-18 relative error = 1.4896678098329340041440000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.152 Order of pole = 3.526 x[1] = -1.883 y[1] (analytic) = 0.21998865298527901930818408386495 y[1] (numeric) = 0.2199886529852790159865315511039 absolute error = 3.32165253276105e-18 relative error = 1.5099199379994044613450000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.151 Order of pole = 3.526 x[1] = -1.882 y[1] (analytic) = 0.22017101122784088857497395376937 y[1] (numeric) = 0.22017101122784088520565923786344 absolute error = 3.36931471590593e-18 relative error = 1.5303171371726325209320000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.15 Order of pole = 3.525 x[1] = -1.881 y[1] (analytic) = 0.22035357493927606358610899877726 y[1] (numeric) = 0.22035357493927606016873372935872 absolute error = 3.41737526941854e-18 relative error = 1.5508599170039710904940000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.149 Order of pole = 3.525 x[1] = -1.88 y[1] (analytic) = 0.22053634438955539872971065631616 y[1] (numeric) = 0.22053634438955539526387440760751 absolute error = 3.46583624870865e-18 relative error = 1.5715487886144502560000000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.148 Order of pole = 3.525 x[1] = -1.879 y[1] (analytic) = 0.22071931984900149890490109456918 y[1] (numeric) = 0.22071931984900149539020137636739 absolute error = 3.51469971820179e-18 relative error = 1.5923842645973476047390000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.147 Order of pole = 3.525 x[1] = -1.878 y[1] (analytic) = 0.22090250158828898641979781235835 y[1] (numeric) = 0.2209025015882889828558300609852 absolute error = 3.56396775137315e-18 relative error = 1.6133668590207090764600000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.146 Order of pole = 3.524 x[1] = -1.877 y[1] (analytic) = 0.22108588987844476688593228271845 y[1] (numeric) = 0.22108588987844476327228985193685 absolute error = 3.61364243078160e-18 relative error = 1.6344970874298747626400000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.145 Order of pole = 3.524 x[1] = -1.876 y[1] (analytic) = 0.22126948499084829410077851455599 y[1] (numeric) = 0.22126948499084829043705266645218 absolute error = 3.66372584810381e-18 relative error = 1.6557754668500004422560000000000e-15 % 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) = 0.22145328719723183019581449790764 absolute error = 3.71422010416848e-18 relative error = 1.6772025157885792500000000000000e-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) = 0.22163729676968072327613003052847 absolute error = 3.76512730899061e-18 relative error = 1.6987787542379317484360000000000e-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 = 3.81644958180589e-18 relative error = 1.7205047036777005079810000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=26.7MB, alloc=4.4MB, time=4.73 Complex estimate of poles used Radius of convergence = 2.142 Order of pole = 3.523 x[1] = -1.872 y[1] (analytic) = 0.22200593910288288032281439593072 y[1] (numeric) = 0.22200593910288287645462534482556 absolute error = 3.86818905110516e-18 relative error = 1.7423808870773265021440000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.141 Order of pole = 3.523 x[1] = -1.871 y[1] (analytic) = 0.22219057240957454727004442256114 y[1] (numeric) = 0.22219057240957454334969656789212 absolute error = 3.92034785466902e-18 relative error = 1.7644078288985432841820000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.14 Order of pole = 3.523 x[1] = -1.87 y[1] (analytic) = 0.22237541417420889946407525184016 y[1] (numeric) = 0.2223754141742088954911471122377 absolute error = 3.97292813960246e-18 relative error = 1.7865860550978302374000000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.139 Order of pole = 3.522 x[1] = -1.869 y[1] (analytic) = 0.22256046467064055795018251070905 y[1] (numeric) = 0.22256046467064055392425044833948 absolute error = 4.02593206236957e-18 relative error = 1.8089160931288519510770000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.138 Order of pole = 3.522 x[1] = -1.868 y[1] (analytic) = 0.22274572417307877357986236096212 y[1] (numeric) = 0.22274572417307876950050057213366 absolute error = 4.07936178882846e-18 relative error = 1.8313984719449420207040000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.137 Order of pole = 3.522 x[1] = -1.867 y[1] (analytic) = 0.22293119295608768240508871658289 y[1] (numeric) = 0.2229311929560876782718692223168 absolute error = 4.13321949426609e-18 relative error = 1.8540337220014962986010000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.136 Order of pole = 3.522 x[1] = -1.866 y[1] (analytic) = 0.22311687129458655997515370521263 y[1] (numeric) = 0.22311687129458655578764634177929 absolute error = 4.18750736343334e-18 relative error = 1.8768223752584238813040000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.135 Order of pole = 3.522 x[1] = -1.865 y[1] (analytic) = 0.22330275946385007452729597105996 y[1] (numeric) = 0.22330275946385007028506838047986 absolute error = 4.24222759058010e-18 relative error = 1.8997649651825568322500000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.134 Order of pole = 3.521 x[1] = -1.864 y[1] (analytic) = 0.22348885773950853906227651114226 y[1] (numeric) = 0.22348885773950853476489413165181 absolute error = 4.29738237949045e-18 relative error = 1.9228620267500500563200000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.133 Order of pole = 3.521 x[1] = -1.863 y[1] (analytic) = 0.22367516639754816229601663606418 y[1] (numeric) = 0.22367516639754815794304269254623 absolute error = 4.35297394351795e-18 relative error = 1.9461140964487801803550000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.133 Order of pole = 3.521 x[1] = -1.862 y[1] (analytic) = 0.22386168571431129847836734986268 y[1] (numeric) = 0.22386168571431129406936284424169 absolute error = 4.40900450562099e-18 relative error = 1.9695217122807209653560000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.132 Order of pole = 3.521 x[1] = -1.861 y[1] (analytic) = 0.22404841596649669607003395005647 y[1] (numeric) = 0.22404841596649669160455765165817 absolute error = 4.46547629839830e-18 relative error = 1.9930854137643398754300000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.131 Order of pole = 3.521 x[1] = -1.86 y[1] (analytic) = 0.22423535743115974526863395820253 y[1] (numeric) = 0.2242353574311597407462423940781 absolute error = 4.52239156412443e-18 relative error = 2.0168057419369308028000000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.13 Order of pole = 3.52 x[1] = -1.859 y[1] (analytic) = 0.22442251038571272437482060225576 y[1] (numeric) = 0.22442251038571271979506804747035 absolute error = 4.57975255478541e-18 relative error = 2.0406832393569767496210000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.129 Order of pole = 3.52 x[1] = -1.858 y[1] (analytic) = 0.22460987510792504498935798411739 y[1] (numeric) = 0.22460987510792504035179645200291 absolute error = 4.63756153211448e-18 relative error = 2.0647184501064931734720000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.128 Order of pole = 3.52 x[1] = -1.857 y[1] (analytic) = 0.22479745187592349603198777821214 y[1] (numeric) = 0.22479745187592349133616701058426 absolute error = 4.69582076762788e-18 relative error = 2.0889119197933475158120000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.127 Order of pole = 3.52 x[1] = -1.856 y[1] (analytic) = 0.22498524096819248657288081901827 y[1] (numeric) = 0.22498524096819248181834827635751 absolute error = 4.75453254266076e-18 relative error = 2.1132641955535815759360000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.126 Order of pole = 3.52 x[1] = -1.855 y[1] (analytic) = 0.22517324266357428746742024645211 y[1] (numeric) = 0.22517324266357428265372109804893 absolute error = 4.81369914840318e-18 relative error = 2.1377758260537232459500000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.125 Order of pole = 3.52 x[1] = -1.854 y[1] (analytic) = 0.22536145724126927178501598714178 y[1] (numeric) = 0.22536145724126926691169310120564 absolute error = 4.87332288593614e-18 relative error = 2.1624473614930609000240000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.124 Order of pole = 3.519 x[1] = -1.853 y[1] (analytic) = 0.22554988498083615402260325617347 y[1] (numeric) = 0.22554988498083614908919718990572 absolute error = 4.93340606626775e-18 relative error = 2.1872793536059292809750000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=30.5MB, alloc=4.4MB, time=5.44 Complex estimate of poles used Radius of convergence = 2.124 Order of pole = 3.519 x[1] = -1.852 y[1] (analytic) = 0.22573852616219222809343046711622 y[1] (numeric) = 0.22573852616219222309947945674671 absolute error = 4.99395101036951e-18 relative error = 2.2122723556639933827040000000000e-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) = 0.2259273810656135990267343880712 absolute error = 5.05496004921260e-18 relative error = 2.2374269224784859332600000000000e-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) = 0.22611644997173543863709754572648 absolute error = 5.11643552380433e-18 relative error = 2.2627436104024649425000000000000e-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) = 0.22630573316155218963645799543129 absolute error = 5.17837978522459e-18 relative error = 2.2882229773330203516590000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.12 Order of pole = 3.519 x[1] = -1.848 y[1] (analytic) = 0.2264952309164178239062998289508 y[1] (numeric) = 0.22649523091641781866550463428827 absolute error = 5.24079519466253e-18 relative error = 2.3138655827135314853120000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.119 Order of pole = 3.519 x[1] = -1.847 y[1] (analytic) = 0.22668494351804604832605636883816 y[1] (numeric) = 0.22668494351804604302237224538502 absolute error = 5.30368412345314e-18 relative error = 2.3396719875358292874260000000001e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.118 Order of pole = 3.519 x[1] = -1.846 y[1] (analytic) = 0.22687487124851056647025352813112 y[1] (numeric) = 0.22687487124851056110320457501704 absolute error = 5.36704895311408e-18 relative error = 2.3656427543424180241280000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.117 Order of pole = 3.518 x[1] = -1.845 y[1] (analytic) = 0.22706501439024528698179506247126 y[1] (numeric) = 0.22706501439024528155090298708877 absolute error = 5.43089207538249e-18 relative error = 2.3917784472286370522250000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.116 Order of pole = 3.518 x[1] = -1.844 y[1] (analytic) = 0.22725537322604455659749619119994 y[1] (numeric) = 0.227255373226044551102280298948 absolute error = 5.49521589225194e-18 relative error = 2.4180796318448332651840000000001e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.115 Order of pole = 3.518 x[1] = -1.843 y[1] (analytic) = 0.22744594803906338668381305853617 y[1] (numeric) = 0.22744594803906338112379024252674 absolute error = 5.56002281600943e-18 relative error = 2.4445468753985044400070000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.115 Order of pole = 3.518 x[1] = -1.842 y[1] (analytic) = 0.22763673911281767845126889271116 y[1] (numeric) = 0.22763673911281767282595362343866 absolute error = 5.62531526927250e-18 relative error = 2.4711807466564398690000000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.114 Order of pole = 3.518 x[1] = -1.841 y[1] (analytic) = 0.22782774673118444683764835288513 y[1] (numeric) = 0.2278277467311844411465526678587 absolute error = 5.69109568502643e-18 relative error = 2.4979818159468493696830000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.113 Order of pole = 3.518 x[1] = -1.84 y[1] (analytic) = 0.22801897117840204304998175848231 y[1] (numeric) = 0.22801897117840203729261525182084 absolute error = 5.75736650666147e-18 relative error = 2.5249506551614542832000000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.112 Order of pole = 3.518 x[1] = -1.839 y[1] (analytic) = 0.22821041273907037575529088726155 y[1] (numeric) = 0.22821041273907036993116069925132 absolute error = 5.82413018801023e-18 relative error = 2.5520878377575975051830000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.111 Order of pole = 3.518 x[1] = -1.838 y[1] (analytic) = 0.22840207169815113091001780622551 y[1] (numeric) = 0.22840207169815112501862861284042 absolute error = 5.89138919338509e-18 relative error = 2.5793939387603109981960000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.11 Order of pole = 3.518 x[1] = -1.837 y[1] (analytic) = 0.2285939483409679902180077625933 y[1] (numeric) = 0.22859394834096798425886176497754 absolute error = 5.95914599761576e-18 relative error = 2.6068695347643977607440000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.109 Order of pole = 3.518 x[1] = -1.836 y[1] (analytic) = 0.22878604295320684820686650974995 y[1] (numeric) = 0.22878604295320684217946342366314 absolute error = 6.02740308608681e-18 relative error = 2.6345152039364493481760000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.108 Order of pole = 3.518 x[1] = -1.835 y[1] (analytic) = 0.22897835582091602791246157456966 y[1] (numeric) = 0.22897835582091602181629861979424 absolute error = 6.09616295477542e-18 relative error = 2.6623315260169083609500000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.107 Order of pole = 3.518 x[1] = -1.834 y[1] (analytic) = 0.22917088723050649516128588701509 y[1] (numeric) = 0.22917088723050648899585777672595 absolute error = 6.16542811028914e-18 relative error = 2.6903190823220838581840000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.106 Order of pole = 3.517 memory used=34.3MB, alloc=4.4MB, time=6.17 x[1] = -1.833 y[1] (analytic) = 0.22936363746875207144035088966715 y[1] (numeric) = 0.22936363746875206520514981976346 absolute error = 6.23520106990369e-18 relative error = 2.7184784557461329090409999999999e-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) = 0.22955660682278963903874036146198 absolute error = 6.30548436160093e-18 relative error = 2.7468102307630649688320000000000e-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) = 0.2297497955801193762124988175267 absolute error = 6.37628052410688e-18 relative error = 2.7753149934287165719680000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.104 Order of pole = 3.517 x[1] = -1.83 y[1] (analytic) = 0.2299432040286049345811584538619 y[1] (numeric) = 0.22994320402860492813356634693212 absolute error = 6.44759210692978e-18 relative error = 2.8039933313826920242000000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.103 Order of pole = 3.517 x[1] = -1.829 y[1] (analytic) = 0.23013683245647364553542599823577 y[1] (numeric) = 0.2301368324564736390160043278375 absolute error = 6.51942167039827e-18 relative error = 2.8328458338503049133070000000000e-15 % 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 = 6.59177178569968e-18 relative error = 2.8618730916445159493120000000000e-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) = 0.23052475040508961098469869569601 absolute error = 6.66464503491830e-18 relative error = 2.8910756971678106200700000000000e-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 = 6.73804401107384e-18 relative error = 2.9204542444141078939840000000000e-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 = 6.81197131815993e-18 relative error = 2.9500093289706346856249999999999e-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 = 6.88642957118262e-18 relative error = 2.9797415480197488357120000000000e-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 = 6.96142139619912e-18 relative error = 3.0096515003408145270480000000001e-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 = 7.03694943035648e-18 relative error = 3.0397397863120000952320000000000e-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 = 7.11301632193037e-18 relative error = 3.0700070079120676065170000000000e-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 = 7.18962473036400e-18 relative error = 3.1004537687221713600000000000000e-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 = 7.26677732630709e-18 relative error = 3.1310806739276263415490000000000e-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 = 7.34447679165485e-18 relative error = 3.1618883303196294451400000000000e-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 = 7.42272581958715e-18 relative error = 3.1928773462970110266350000000000e-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 = 7.50152711460766e-18 relative error = 3.2240483318679219176960000000000e-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) = 0.23287089055650320312652015520488 absolute error = 7.58088339258314e-18 relative error = 3.2554018986515334366500000000000e-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 = 7.66079738078277e-18 relative error = 3.2869386598797029830920000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=38.1MB, alloc=4.4MB, time=6.88 Complex estimate of poles used Radius of convergence = 2.089 Order of pole = 3.518 x[1] = -1.813 y[1] (analytic) = 0.23326504110479921828219424959686 y[1] (numeric) = 0.2332650411047992105409224316793 absolute error = 7.74127181791756e-18 relative error = 3.3186592303986224275640000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.088 Order of pole = 3.518 x[1] = -1.812 y[1] (analytic) = 0.23346245363435670821675774815191 y[1] (numeric) = 0.23346245363435670039444829397209 absolute error = 7.82230945417982e-18 relative error = 3.3505642266704406918080000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.087 Order of pole = 3.518 x[1] = -1.811 y[1] (analytic) = 0.23366009139380814777411892036887 y[1] (numeric) = 0.23366009139380813987020586908614 absolute error = 7.90391305128273e-18 relative error = 3.3826542667748776518330000000001e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.086 Order of pole = 3.518 x[1] = -1.81 y[1] (analytic) = 0.23385795467832838333995930871589 y[1] (numeric) = 0.2338579546783283753538739262159 absolute error = 7.98608538249999e-18 relative error = 3.4149299704108207238999999999999e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.085 Order of pole = 3.518 x[1] = -1.809 y[1] (analytic) = 0.23405604378345977430911922136108 y[1] (numeric) = 0.23405604378345976624028998865562 absolute error = 8.06882923270546e-18 relative error = 3.4473919588978656446260000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.084 Order of pole = 3.518 x[1] = -1.808 y[1] (analytic) = 0.23425435900511236713092757230027 y[1] (numeric) = 0.23425435900511235897878017388725 absolute error = 8.15214739841302e-18 relative error = 3.4800408551778998209279999999999e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.083 Order of pole = 3.518 x[1] = -1.807 y[1] (analytic) = 0.23445290063956406765466682015517 y[1] (numeric) = 0.23445290063956405941862413233882 absolute error = 8.23604268781635e-18 relative error = 3.5128772838165999021149999999999e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.083 Order of pole = 3.518 x[1] = -1.806 y[1] (analytic) = 0.23465166898346081176336974814367 y[1] (numeric) = 0.23465166898346080344285182731481 absolute error = 8.32051792082886e-18 relative error = 3.5459018710049419614960000000000e-15 % 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) = 0.23485066433381672587851117698769 absolute error = 8.40557592912371e-18 relative error = 3.5791152445606985272750000000000e-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) = 0.23504988698801432767148761679657 absolute error = 8.49121955617382e-18 relative error = 3.6125180339298798589120000000000e-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) = 0.23524933724380464131389843630192 absolute error = 8.57745165729203e-18 relative error = 3.6461108701881876752270000000000e-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) = 0.23544901539930739451202629767155 absolute error = 8.66427509967127e-18 relative error = 3.6798943860424216629079999999999e-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) = 0.23564892175301117208269765269666 absolute error = 8.75169276242484e-18 relative error = 3.7138692158318813448840000000000e-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) = 0.23584905660377357606595284073176 absolute error = 8.83970753662673e-18 relative error = 3.7480359955297335200000000000000e-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) = 0.23604942025082138404179547039015 absolute error = 8.92832232535204e-18 relative error = 3.7823953627443707608040000000000e-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) = 0.23625001299375070563874926237851 absolute error = 9.01754004371740e-18 relative error = 3.8169479567207185589600000000000e-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) = 0.23645083513252713722189085868881 absolute error = 9.10736361892154e-18 relative error = 3.8516944183415547261860000000000e-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) = 0.23665188696748591474796718365138 absolute error = 9.19779599028586e-18 relative error = 3.8866353901287774589760000000001e-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) = 0.23685316879933206477514577425602 absolute error = 9.28884010929512e-18 relative error = 3.9217715162446729018000000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.072 Order of pole = 3.52 x[1] = -1.794 y[1] (analytic) = 0.23705468092914056299538501947167 y[1] (numeric) = 0.23705468092914055361488607983355 absolute error = 9.38049893963812e-18 relative error = 3.9571034424931272380320000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=41.9MB, alloc=4.4MB, time=7.58 Complex estimate of poles used Radius of convergence = 2.071 Order of pole = 3.52 x[1] = -1.793 y[1] (analytic) = 0.23725642365835644408613452107062 y[1] (numeric) = 0.2372564236583564346133590638221 absolute error = 9.47277545724852e-18 relative error = 3.9926318163208467273480000000001e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.07 Order of pole = 3.52 x[1] = -1.792 y[1] (analytic) = 0.23745839728879500311545417242899 y[1] (numeric) = 0.23745839728879499354978152208329 absolute error = 9.56567265034570e-18 relative error = 4.0283572868185433964800000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.07 Order of pole = 3.521 x[1] = -1.791 y[1] (analytic) = 0.23766060212264190179816388172012 y[1] (numeric) = 0.23766060212264189213897036224451 absolute error = 9.65919351947561e-18 relative error = 4.0642805047220654160410000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.069 Order of pole = 3.521 x[1] = -1.79 y[1] (analytic) = 0.23786303846245331937870174353607 y[1] (numeric) = 0.23786303846245330962536066598425 absolute error = 9.75334107755182e-18 relative error = 4.1004021224135606462000000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.068 Order of pole = 3.521 x[1] = -1.789 y[1] (analytic) = 0.23806570661115609230378803010388 y[1] (numeric) = 0.23806570661115608245566968020738 absolute error = 9.84811834989650e-18 relative error = 4.1367227939225596076500000000001e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.067 Order of pole = 3.521 x[1] = -1.788 y[1] (analytic) = 0.2382686068720478519608553271142 y[1] (numeric) = 0.23826860687204784201732695283264 absolute error = 9.94352837428156e-18 relative error = 4.1732431749270747552640000000001e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.066 Order of pole = 3.521 x[1] = -1.787 y[1] (analytic) = 0.23847173954879716046930284456245 y[1] (numeric) = 0.23847173954879715042972864359269 absolute error = 1.003957420096976e-17 relative error = 4.2099639227546361521440000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.065 Order of pole = 3.522 x[1] = -1.786 y[1] (analytic) = 0.23867510494544364451157049173755 y[1] (numeric) = 0.23867510494544363437531159898161 absolute error = 1.013625889275594e-17 relative error = 4.2468856963833266388239999999999e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.064 Order of pole = 3.522 x[1] = -1.785 y[1] (analytic) = 0.23887870336639812719096560743868 y[1] (numeric) = 0.23887870336639811695738008243039 absolute error = 1.023358552500829e-17 relative error = 4.2840091564427828805250000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.063 Order of pole = 3.522 x[1] = -1.784 y[1] (analytic) = 0.23908253511644275790311228080913 y[1] (numeric) = 0.23908253511644274757155509509941 absolute error = 1.033155718570972e-17 relative error = 4.3213349652151874616320000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.063 Order of pole = 3.522 x[1] = -1.783 y[1] (analytic) = 0.2392866005007311402078299839989 y[1] (numeric) = 0.23928660050073112977765300849974 absolute error = 1.043017697549916e-17 relative error = 4.3588637866361809065240000000001e-15 % 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) = 0.23949089982478844715873675664224 absolute error = 1.052944800771308e-17 relative error = 4.3965962862958150653920000000001e-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) = 0.23969543339451158715401910171398 absolute error = 1.062937340842693e-17 relative error = 4.4345331314394223309730000000001e-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) = 0.2399002015161692628522334925427 absolute error = 1.072995631649674e-17 relative error = 4.4726749909685011016000000000000e-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) = 0.24010520449640213273202377847909 absolute error = 1.083119988360069e-17 relative error = 4.5110225354415381340289999999999e-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) = 0.24031044264222291833583952194847 absolute error = 1.093310727428077e-17 relative error = 4.5495764370748179708680000000000e-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] = -1.777 y[1] (analytic) = 0.24051591626101653089944053592719 y[1] (numeric) = 0.24051591626101651986375886994267 absolute error = 1.103568166598452e-17 relative error = 4.5883373697432152355079999999999e-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) = 0.24072162566054012967359589728283 absolute error = 1.113892624910673e-17 relative error = 4.6273060089809199204480000000000e-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) = 0.24092757114892334367358402172637 absolute error = 1.124284422703135e-17 relative error = 4.6664830319821997093749999999999e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.055 Order of pole = 3.525 memory used=45.7MB, alloc=4.4MB, time=8.30 x[1] = -1.774 y[1] (analytic) = 0.24113375303466828194130032823126 y[1] (numeric) = 0.24113375303466827059386151205803 absolute error = 1.134743881617323e-17 relative error = 4.7058691176020413975480000000001e-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) = 0.24134017162664963912291926433514 absolute error = 1.145271324602016e-17 relative error = 4.7454649463568667544640000000001e-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) = 0.24154682723411490289510490759115 absolute error = 1.155867075917471e-17 relative error = 4.7852712004251152604640000000000e-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) = 0.24175372016668434331521091767567 absolute error = 1.166531461139630e-17 relative error = 4.8252885636478722568300000000001e-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) = 0.24196085073435117020610776566227 absolute error = 1.177264807164325e-17 relative error = 4.8655177215294387925000000000001e-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) = 0.24216821924748162026531620452203 absolute error = 1.188067442211488e-17 relative error = 4.9059593612378722991679999999999e-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) = 0.24237582601681505331634560367704 absolute error = 1.198939695829361e-17 relative error = 4.9466141716054775184640000000000e-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) = 0.2425836713534640463405577747477 absolute error = 1.209881898898721e-17 relative error = 4.9874828431293096923689999999999e-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) = 0.24279175556891448527524799242394 absolute error = 1.220894383637097e-17 relative error = 5.0285660679715950913320000000000e-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) = 0.24300007897502565456356690105604 absolute error = 1.231977483603002e-17 relative error = 5.0698645399601639054500000000001e-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) = 0.24320864188403032444183870940647 absolute error = 1.243131533700163e-17 relative error = 5.1113789545888254064480000000000e-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) = 0.24341744460853483594976251216126 absolute error = 1.254356870181752e-17 relative error = 5.1531100090176979320880000000000e-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) = 0.24362648746151918364891473639724 absolute error = 1.265653830654631e-17 relative error = 5.1950584020735472063640000000001e-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 = 1.277022754083592e-17 relative error = 5.2372248342500549066320000000001e-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 = 1.288463980795604e-17 relative error = 5.2796100077080669504000000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.042 Order of pole = 3.53 x[1] = -1.759 y[1] (analytic) = 0.24425505992675767773036244275577 y[1] (numeric) = 0.24425505992675766473058391791514 absolute error = 1.299977852484063e-17 relative error = 5.3222146262758051311030000000001e-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) = 0.24446506643093713882721454682274 absolute error = 1.311564712213049e-17 relative error = 5.3650393954490585696360000000000e-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) = 0.24467531463410395762789968412097 absolute error = 1.323224904421578e-17 relative error = 5.4080850223913059433220000000001e-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 = 1.334958774927868e-17 relative error = 5.4513522159338463812480000000000e-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 = 1.346766670933596e-17 relative error = 5.4948416865758450199000000000001e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=49.5MB, alloc=4.4MB, time=9.01 Complex estimate of poles used Radius of convergence = 2.038 Order of pole = 3.532 x[1] = -1.754 y[1] (analytic) = 0.2453075125916346213286051127973 y[1] (numeric) = 0.24530751259163460774211570251557 absolute error = 1.358648941028173e-17 relative error = 5.5385541464844036852680000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.037 Order of pole = 3.532 x[1] = -1.753 y[1] (analytic) = 0.24551873074672803325502104218282 y[1] (numeric) = 0.24551873074672801954896169025273 absolute error = 1.370605935193009e-17 relative error = 5.5824903094945423940810000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.036 Order of pole = 3.532 x[1] = -1.752 y[1] (analytic) = 0.24573019218066870065737741012172 y[1] (numeric) = 0.24573019218066868683099736206387 absolute error = 1.382638004805785e-17 relative error = 5.6266508911091612806400000000001e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.035 Order of pole = 3.533 x[1] = -1.751 y[1] (analytic) = 0.24594189721055159602764485301405 y[1] (numeric) = 0.24594189721055158208018982656672 absolute error = 1.394745502644733e-17 relative error = 5.6710366084989870227330000000001e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.034 Order of pole = 3.533 x[1] = -1.75 y[1] (analytic) = 0.24615384615384615384615384615385 y[1] (numeric) = 0.24615384615384613977686601722473 absolute error = 1.406928782892912e-17 relative error = 5.7156481805024549999999999999999e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.033 Order of pole = 3.534 x[1] = -1.749 y[1] (analytic) = 0.24636603932839632214921848996834 y[1] (numeric) = 0.2463660393283963079573364785435 absolute error = 1.419188201142484e-17 relative error = 5.7604863276255436984840000000001e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.033 Order of pole = 3.534 x[1] = -1.748 y[1] (analytic) = 0.24657847705242061159352820265989 y[1] (numeric) = 0.2465784770524205972782870586698 absolute error = 1.431524114399009e-17 relative error = 5.8055517720416385955360000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.032 Order of pole = 3.534 x[1] = -1.747 y[1] (analytic) = 0.24679115964451214200165893017513 y[1] (numeric) = 0.24679115964451212756229011931795 absolute error = 1.443936881085718e-17 relative error = 5.8508452375912591074620000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.031 Order of pole = 3.535 x[1] = -1.746 y[1] (analytic) = 0.24700408742363868637298210010779 y[1] (numeric) = 0.2470040874236386718087134896297 absolute error = 1.456426861047809e-17 relative error = 5.8963674497818315014440000000001e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.03 Order of pole = 3.535 x[1] = -1.745 y[1] (analytic) = 0.24721726070914271234417587035927 y[1] (numeric) = 0.24721726070914269765423171479193 absolute error = 1.468994415556734e-17 relative error = 5.9421191357873779483500000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.029 Order of pole = 3.536 x[1] = -1.744 y[1] (analytic) = 0.24743067982074142108346925525345 y[1] (numeric) = 0.24743067982074140626707018210854 absolute error = 1.481639907314491e-17 relative error = 5.9881010244481786981760000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.028 Order of pole = 3.536 x[1] = -1.743 y[1] (analytic) = 0.24764434507852678360267545044649 y[1] (numeric) = 0.24764434507852676865903844586729 absolute error = 1.494363700457920e-17 relative error = 6.0343138462704033980800000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.027 Order of pole = 3.537 x[1] = -1.742 y[1] (analytic) = 0.24785825680296557447099612250543 y[1] (numeric) = 0.24785825680296555939933451687548 absolute error = 1.507166160562995e-17 relative error = 6.0807583334256793591800000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.027 Order of pole = 3.537 x[1] = -1.741 y[1] (analytic) = 0.24807241531489940291450357856863 y[1] (numeric) = 0.24807241531489938771402703207738 absolute error = 1.520047654649125e-17 relative error = 6.1274352197506494541249999999999e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.026 Order of pole = 3.537 x[1] = -1.74 y[1] (analytic) = 0.24828682093554474128513258516238 y[1] (numeric) = 0.2482868209355447259550470733279 absolute error = 1.533008551183448e-17 relative error = 6.1743452407464551648000000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.025 Order of pole = 3.538 x[1] = -1.739 y[1] (analytic) = 0.24850147398649295088293816214771 y[1] (numeric) = 0.24850147398649293542244596129633 absolute error = 1.546049220085138e-17 relative error = 6.2214891335782256136980000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.024 Order of pole = 3.538 x[1] = -1.738 y[1] (analytic) = 0.24871637478971030511529993702501 y[1] (numeric) = 0.24871637478971028952359960972802 absolute error = 1.559170032729699e-17 relative error = 6.2688676370744679061560000000001e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.023 Order of pole = 3.539 x[1] = -1.737 y[1] (analytic) = 0.24893152366753800997667760554759 y[1] (numeric) = 0.24893152366753799425296398601485 absolute error = 1.572371361953274e-17 relative error = 6.3164814917264717613060000000000e-15 % 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 = 1.585653582056941e-17 relative error = 6.3643314396876158639360000000000e-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 = 1.599017068811024e-17 relative error = 6.4124182247726887204000000000001e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=53.4MB, alloc=4.5MB, time=9.72 Complex estimate of poles used Radius of convergence = 2.021 Order of pole = 3.54 x[1] = -1.734 y[1] (analytic) = 0.24957846197771963154232501305295 y[1] (numeric) = 0.24957846197771961541770301845897 absolute error = 1.612462199459398e-17 relative error = 6.4607425924571396928880000000001e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.02 Order of pole = 3.541 x[1] = -1.733 y[1] (analytic) = 0.24979460638490001596187534799511 y[1] (numeric) = 0.24979460638489999970198182075722 absolute error = 1.625989352723789e-17 relative error = 6.5093052898762645420210000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.019 Order of pole = 3.541 x[1] = -1.732 y[1] (analytic) = 0.25001100048402129693706523087016 y[1] (numeric) = 0.25001100048402128054107614278933 absolute error = 1.639598908808083e-17 relative error = 6.5581070658243817773920000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.018 Order of pole = 3.542 x[1] = -1.731 y[1] (analytic) = 0.25022764459967455392543366327516 y[1] (numeric) = 0.25022764459967453739252116924882 absolute error = 1.653291249402634e-17 relative error = 6.6071486707539598148740000000001e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.017 Order of pole = 3.542 x[1] = -1.73 y[1] (analytic) = 0.25044453905682586591199378897543 y[1] (numeric) = 0.25044453905682584924132621208972 absolute error = 1.667066757688571e-17 relative error = 6.6564308567746951459000000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.016 Order of pole = 3.543 x[1] = -1.729 y[1] (analytic) = 0.250661684180816309853936930011 y[1] (numeric) = 0.25066168418081629304467874658999 absolute error = 1.680925818342101e-17 relative error = 6.7059543776525297555409999999999e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.016 Order of pole = 3.543 x[1] = -1.728 y[1] (analytic) = 0.25087908029736195629485717955717 y[1] (numeric) = 0.25087908029736193934616900416901 absolute error = 1.694868817538816e-17 relative error = 6.7557199888086399549440000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.015 Order of pole = 3.544 x[1] = -1.727 y[1] (analytic) = 0.25109672773255386213132409079758 y[1] (numeric) = 0.25109672773255384504236266121755 absolute error = 1.708896142958003e-17 relative error = 6.8057284473183927295870000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.014 Order of pole = 3.544 x[1] = -1.726 y[1] (analytic) = 0.25131462681285806051455161952172 y[1] (numeric) = 0.25131462681285804328446978165224 absolute error = 1.723008183786948e-17 relative error = 6.8559805119102339000479999999999e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.013 Order of pole = 3.545 x[1] = -1.725 y[1] (analytic) = 0.2515327778651155478698317874548 y[1] (numeric) = 0.25153277786511553049777848020242 absolute error = 1.737205330725238e-17 relative error = 6.9064769429645243237500000000001e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.012 Order of pole = 3.545 x[1] = -1.724 y[1] (analytic) = 0.25175118121654226801632153258063 y[1] (numeric) = 0.25175118121654225050144177268991 absolute error = 1.751487975989072e-17 relative error = 6.9572185025123680606720000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.011 Order of pole = 3.546 x[1] = -1.723 y[1] (analytic) = 0.25196983719472909336969090104162 y[1] (numeric) = 0.25196983719472907571112576788603 absolute error = 1.765856513315559e-17 relative error = 7.0082059542343451545109999999999e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.011 Order of pole = 3.546 x[1] = -1.722 y[1] (analytic) = 0.25218874612764180321006011170953 y[1] (numeric) = 0.2521887461276417854069467320393 absolute error = 1.780311337967023e-17 relative error = 7.0594400634592288295319999999999e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.01 Order of pole = 3.547 x[1] = -1.721 y[1] (analytic) = 0.25240790834362105899757208832964 y[1] (numeric) = 0.2524079083436210410490436209766 absolute error = 1.794852846735304e-17 relative error = 7.1109215971626435346640000000001e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.009 Order of pole = 3.547 x[1] = -1.72 y[1] (analytic) = 0.2526273241713823767178658043654 y[1] (numeric) = 0.25262732417138235862305142490477 absolute error = 1.809481437946063e-17 relative error = 7.1626513239656957792000000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.008 Order of pole = 3.548 x[1] = -1.719 y[1] (analytic) = 0.25284699394001609623963422142469 y[1] (numeric) = 0.25284699394001607799765910679397 absolute error = 1.824197511463072e-17 relative error = 7.2146300141335027001919999999999e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.007 Order of pole = 3.548 x[1] = -1.718 y[1] (analytic) = 0.25306691797898734766636872254857 y[1] (numeric) = 0.25306691797898732927635403562339 absolute error = 1.839001468692518e-17 relative error = 7.2668584395737334974319999999999e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.006 Order of pole = 3.549 x[1] = -1.717 y[1] (analytic) = 0.2532870966181360146643097458036 y[1] (numeric) = 0.25328709661813599612537261993064 absolute error = 1.853893712587296e-17 relative error = 7.3193373738350648773440000000001e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.006 Order of pole = 3.549 x[1] = -1.716 y[1] (analytic) = 0.25350753018767669474854081065624 y[1] (numeric) = 0.25350753018767667605979433414318 absolute error = 1.868874647651306e-17 relative error = 7.3720675921056101207360000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.005 Order of pole = 3.55 x[1] = -1.715 y[1] (analytic) = 0.25372821901819865650908029863811 y[1] (numeric) = 0.25372821901819863766963349920074 absolute error = 1.883944679943737e-17 relative error = 7.4250498712112548578250000000001e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=57.2MB, alloc=4.5MB, time=10.45 Complex estimate of poles used Radius of convergence = 2.004 Order of pole = 3.55 x[1] = -1.714 y[1] (analytic) = 0.25394916344066579375874219995144 y[1] (numeric) = 0.25394916344066577476770002911781 absolute error = 1.899104217083363e-17 relative error = 7.4782849896139984879480000000001e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.003 Order of pole = 3.551 x[1] = -1.713 y[1] (analytic) = 0.25417036378641657658445356803086 y[1] (numeric) = 0.25417036378641655744091688550259 absolute error = 1.914353668252827e-17 relative error = 7.5317737274102067111630000000000e-15 % 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 = 1.929693444202925e-17 relative error = 7.5855168663288228111999999999999e-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 = 1.945123957256887e-17 relative error = 7.6395151897295260871269999999999e-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 = 1.960645621314656e-17 relative error = 7.6937694826008416096000000000001e-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) = 0.25505773104213271177053034521757 absolute error = 1.976258851857165e-17 relative error = 7.7482805315582015293650000000001e-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) = 0.25528021598748512277178886885865 absolute error = 1.991964065950605e-17 relative error = 7.8030491248419307447199999999999e-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) = 0.25550295885201496568192576587601 absolute error = 2.007761682250693e-17 relative error = 7.8580760523151925473570000000001e-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) = 0.2557259599696811099494733951357 absolute error = 2.023652121006945e-17 relative error = 7.9133621054619139780200000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.996 Order of pole = 3.555 x[1] = -1.705 y[1] (analytic) = 0.2559492196748165164031456159098 y[1] (numeric) = 0.25594921967481649600678757524056 absolute error = 2.039635804066924e-17 relative error = 7.9689080773845737411000000000001e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.995 Order of pole = 3.556 x[1] = -1.704 y[1] (analytic) = 0.25617273830212807817162343837099 y[1] (numeric) = 0.2561727383021280576144918895659 absolute error = 2.055713154880509e-17 relative error = 8.0247147628020330205439999999999e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.995 Order of pole = 3.557 x[1] = -1.703 y[1] (analytic) = 0.25639651618669666164044029435346 y[1] (numeric) = 0.25639651618669664092159430931207 absolute error = 2.071884598504139e-17 relative error = 8.0807829580472294650509999999999e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.994 Order of pole = 3.557 x[1] = -1.702 y[1] (analytic) = 0.25662055366397694110352996968798 y[1] (numeric) = 0.25662055366397692022202435363733 absolute error = 2.088150561605065e-17 relative error = 8.1371134610648637122600000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.993 Order of pole = 3.558 x[1] = -1.701 y[1] (analytic) = 0.25684485106979733143336635501969 y[1] (numeric) = 0.25684485106979731038825163036375 absolute error = 2.104511472465594e-17 relative error = 8.1937070714090161451939999999999e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.992 Order of pole = 3.558 x[1] = -1.7 y[1] (analytic) = 0.25706940874035989717223650385604 y[1] (numeric) = 0.25706940874035987596255889398279 absolute error = 2.120967760987325e-17 relative error = 8.2505645902406942500000000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.991 Order of pole = 3.559 x[1] = -1.699 y[1] (analytic) = 0.25729422701224025826165330580628 y[1] (numeric) = 0.25729422701224023688645471885243 absolute error = 2.137519858695385e-17 relative error = 8.3076868203253420363850000000001e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.99 Order of pole = 3.559 x[1] = -1.698 y[1] (analytic) = 0.25751930622238749239030450112845 y[1] (numeric) = 0.25751930622238747084862251370188 absolute error = 2.154168198742657e-17 relative error = 8.3650745660302806330280000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.99 Order of pole = 3.56 x[1] = -1.697 y[1] (analytic) = 0.25774464670812403394084605711261 y[1] (numeric) = 0.25774464670812401223171389797258 absolute error = 2.170913215914003e-17 relative error = 8.4227286333220920654269999999998e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.989 Order of pole = 3.561 x[1] = -1.696 y[1] (analytic) = 0.25797024880714556951575888655913 y[1] (numeric) = 0.25797024880714554763820542025432 absolute error = 2.187755346630481e-17 relative error = 8.4806498297639426360960000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.988 Order of pole = 3.561 memory used=61.0MB, alloc=4.5MB, time=11.16 x[1] = -1.695 y[1] (analytic) = 0.25819611285752093002239851279039 y[1] (numeric) = 0.25819611285752090797544822325481 absolute error = 2.204695028953558e-17 relative error = 8.5388389645128539729500000000000e-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 = 2.221732702589315e-17 relative error = 8.5972968483169065393400000000000e-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 = 2.238868808892648e-17 relative error = 8.6560242935123914373519999999999e-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) = 0.25887528010305304894238545798951 absolute error = 2.256103790871457e-17 relative error = 8.7150221140208798728480000000001e-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) = 0.25910219534699093278528609067833 absolute error = 2.273438093190839e-17 relative error = 8.7742911253462724945589999999999e-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) = 0.25932937423821994026650723640017 absolute error = 2.290872162177260e-17 relative error = 8.8338321445717322859999999999998e-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) = 0.25955681711704530669714731392019 absolute error = 2.308406445822734e-17 relative error = 8.8936459903566095592140000000000e-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) = 0.25978452432414455825789151883211 absolute error = 2.326041393788987e-17 relative error = 8.9537334829332743745279999999999e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.981 Order of pole = 3.566 x[1] = -1.687 y[1] (analytic) = 0.26001249620056739926920887817869 y[1] (numeric) = 0.26001249620056737583143430406256 absolute error = 2.343777457411613e-17 relative error = 9.0140954441038838379969999999998e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.98 Order of pole = 3.566 x[1] = -1.686 y[1] (analytic) = 0.26024073308773547882733443744802 y[1] (numeric) = 0.26024073308773545521118354040578 absolute error = 2.361615089704224e-17 relative error = 9.0747326972370923255039999999999e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.98 Order of pole = 3.567 x[1] = -1.685 y[1] (analytic) = 0.26046923532744238746101101133692 y[1] (numeric) = 0.26046923532744236366546355771098 absolute error = 2.379554745362594e-17 relative error = 9.1356460672647049496500000000001e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.979 Order of pole = 3.568 x[1] = -1.684 y[1] (analytic) = 0.26069800326185341681230995115562 y[1] (numeric) = 0.26069800326185339283634114346768 absolute error = 2.397596880768794e-17 relative error = 9.1968363806782630776640000000001e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.978 Order of pole = 3.568 x[1] = -1.683 y[1] (analytic) = 0.26092703723350543210952464573284 y[1] (numeric) = 0.2609270372335054079521051057797 absolute error = 2.415741953995314e-17 relative error = 9.2583044655255469565459999999999e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.977 Order of pole = 3.569 x[1] = -1.682 y[1] (analytic) = 0.26115633758530671767224043932764 y[1] (numeric) = 0.26115633758530669333233619123583 absolute error = 2.433990424809181e-17 relative error = 9.3200511514070303874439999999999e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.976 Order of pole = 3.569 x[1] = -1.681 y[1] (analytic) = 0.26138590466053681868783753088601 y[1] (numeric) = 0.26138590466053679416440998412532 absolute error = 2.452342754676069e-17 relative error = 9.3820772694722724135090000000001e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.976 Order of pole = 3.57 x[1] = -1.68 y[1] (analytic) = 0.26161573880284637923817496860611 y[1] (numeric) = 0.26161573880284635453018090096212 absolute error = 2.470799406764399e-17 relative error = 9.4443836524162387376000000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.975 Order of pole = 3.57 x[1] = -1.679 y[1] (analytic) = 0.26184584035625697655510899202182 y[1] (numeric) = 0.26184584035625695166150053252758 absolute error = 2.489360845949424e-17 relative error = 9.5069711344755341823840000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.974 Order of pole = 3.571 x[1] = -1.678 y[1] (analytic) = 0.26207620966516095148340376194674 y[1] (numeric) = 0.26207620966516092640312837377361 absolute error = 2.508027538817313e-17 relative error = 9.5698405514246001370920000000001e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.973 Order of pole = 3.572 x[1] = -1.677 y[1] (analytic) = 0.26230684707432123512949695579789 y[1] (numeric) = 0.26230684707432120986149741910568 absolute error = 2.526799953669221e-17 relative error = 9.6329927405718276257089999999999e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.972 Order of pole = 3.572 x[1] = -1.676 y[1] (analytic) = 0.26253775292887117167448679120057 y[1] (numeric) = 0.26253775292887114621770118594712 absolute error = 2.545678560525345e-17 relative error = 9.6964285407555864967200000000002e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=64.8MB, alloc=4.5MB, time=11.87 Complex estimate of poles used Radius of convergence = 1.971 Order of pole = 3.573 x[1] = -1.675 y[1] (analytic) = 0.26276892757431433732961077352603 y[1] (numeric) = 0.26276892757431431168297246223621 absolute error = 2.564663831128982e-17 relative error = 9.7601487923402321237500000000000e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.971 Order of pole = 3.573 x[1] = -1.674 y[1] (analytic) = 0.26300037135652435541238984229446 y[1] (numeric) = 0.26300037135652432957482745278885 absolute error = 2.583756238950561e-17 relative error = 9.8241543372119832768359999999999e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.97 Order of pole = 3.574 x[1] = -1.673 y[1] (analytic) = 0.26323208462174470752151461635635 y[1] (numeric) = 0.26323208462174468149195202443961 absolute error = 2.602956259191674e-17 relative error = 9.8884460187747669171459999999999e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.969 Order of pole = 3.575 x[1] = -1.672 y[1] (analytic) = 0.26346406771658854078845310761137 y[1] (numeric) = 0.26346406771658851456580941972044 absolute error = 2.622264368789093e-17 relative error = 9.9530246819459807653120000000001e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.968 Order of pole = 3.575 x[1] = -1.671 y[1] (analytic) = 0.26369632098803847118366158690864 y[1] (numeric) = 0.26369632098803844476685112272084 absolute error = 2.641681046418780e-17 relative error = 1.0017891173152200685980000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.967 Order of pole = 3.576 x[1] = -1.67 y[1] (analytic) = 0.26392884478344638285518224286732 y[1] (numeric) = 0.26392884478344635624311451786857 absolute error = 2.661206772499875e-17 relative error = 1.0083046340324776387500000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.966 Order of pole = 3.576 x[1] = -1.669 y[1] (analytic) = 0.26416163945053322347731287383825 y[1] (numeric) = 0.26416163945053319666889258185141 absolute error = 2.680842029198684e-17 relative error = 1.0148491032895399401724000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.966 Order of pole = 3.577 x[1] = -1.668 y[1] (analytic) = 0.26439470533738879558693509427258 y[1] (numeric) = 0.26439470533738876858106208994612 absolute error = 2.700587300432646e-17 relative error = 1.0214226101791564084704000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.965 Order of pole = 3.577 x[1] = -1.667 y[1] (analytic) = 0.26462804279247154388498841855371 y[1] (numeric) = 0.26462804279247151668055769981079 absolute error = 2.720443071874292e-17 relative error = 1.0280252399431971421588000000000e-14 % 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) = 0.26486165216460831107637979751362 absolute error = 2.740409830955194e-17 relative error = 1.0346570779721868437864000000000e-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) = 0.26509553380299422644942415140062 absolute error = 2.760488066869892e-17 relative error = 1.0413182098048278349700000000000e-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) = 0.26532968805719231711332121853403 absolute error = 2.780678270579819e-17 relative error = 1.0480087211275197509824000000000e-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) = 0.26556411527713338794937238505344 absolute error = 2.800980934817200e-17 relative error = 1.0547286977738668986800000000000e-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) = 0.26579881581311576119256949511558 absolute error = 2.821396554088953e-17 relative error = 1.0614782257241838890532000000000e-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) = 0.26603379001580503904558273225252 absolute error = 2.841925624680557e-17 relative error = 1.0682573911049863998997000000000e-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) = 0.26626903823623386209750026125037 absolute error = 2.862568644659924e-17 relative error = 1.0750662801884810574400000000000e-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) = 0.26650456082580166352400101719344 absolute error = 2.883326113881247e-17 relative error = 1.0819049793920439374407000000000e-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) = 0.26674035813627441904553964034627 absolute error = 2.904198533988827e-17 relative error = 1.0887735752776888825228000000000e-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) = 0.266976430519784392620019800266 absolute error = 2.925186408420903e-17 relative error = 1.0956721545515346901047000000000e-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) = 0.26721277832882987784632902916104 absolute error = 2.946290242413444e-17 relative error = 1.1026008040632558365184000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=68.6MB, alloc=4.5MB, time=12.57 Complex estimate of poles used Radius of convergence = 1.955 Order of pole = 3.584 x[1] = -1.655 y[1] (analytic) = 0.26744940191627496473011012229124 y[1] (numeric) = 0.26744940191627493505500469225176 absolute error = 2.967510543003948e-17 relative error = 1.1095596108055336670700000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.954 Order of pole = 3.585 x[1] = -1.654 y[1] (analytic) = 0.26768630163534915395067505131546 y[1] (numeric) = 0.26768630163534912406219686096343 absolute error = 2.988847819035203e-17 relative error = 1.1165486619134912410348000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.953 Order of pole = 3.585 x[1] = -1.653 y[1] (analytic) = 0.26792347783964726266601543399986 y[1] (numeric) = 0.26792347783964723256298962240934 absolute error = 3.010302581159052e-17 relative error = 1.1235680446641276116268000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.952 Order of pole = 3.586 x[1] = -1.652 y[1] (analytic) = 0.26816093088312903045879117342933 y[1] (numeric) = 0.2681609308831290001400377550281 absolute error = 3.031875341840123e-17 relative error = 1.1306178464757370039792000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.951 Order of pole = 3.586 x[1] = -1.651 y[1] (analytic) = 0.26839866112011886839903687824444 y[1] (numeric) = 0.2683986611201188378633707246489 absolute error = 3.053566615359554e-17 relative error = 1.1376981549073241652754000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.951 Order of pole = 3.587 x[1] = -1.65 y[1] (analytic) = 0.26863666890530557421087978509066 y[1] (numeric) = 0.26863666890530554345711060690368 absolute error = 3.075376917818698e-17 relative error = 1.1448090576580103305000000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.95 Order of pole = 3.587 x[1] = -1.649 y[1] (analytic) = 0.26887495459374204298181249144642 y[1] (numeric) = 0.26887495459374201200874482001831 absolute error = 3.097306767142811e-17 relative error = 1.1519506425664309814011000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.949 Order of pole = 3.588 x[1] = -1.648 y[1] (analytic) = 0.26911351854084497339005528668125 y[1] (numeric) = 0.26911351854084494219648845583414 absolute error = 3.119356683084711e-17 relative error = 1.1591229976101209943744000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.948 Order of pole = 3.589 x[1] = -1.647 y[1] (analytic) = 0.26935236110239456942543639796165 y[1] (numeric) = 0.26935236110239453801016452567724 absolute error = 3.141527187228441e-17 relative error = 1.1663262109048995112569000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.947 Order of pole = 3.589 x[1] = -1.646 y[1] (analytic) = 0.2695914826345342375791116205791 y[1] (numeric) = 0.26959148263453420594092359065018 absolute error = 3.163818802992892e-17 relative error = 1.1735603707042382181872000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.946 Order of pole = 3.59 x[1] = -1.645 y[1] (analytic) = 0.26983088349377027947733757867257 y[1] (numeric) = 0.26983088349377024761501702231838 absolute error = 3.186232055635419e-17 relative error = 1.1808255653986253699475000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.946 Order of pole = 3.59 x[1] = -1.644 y[1] (analytic) = 0.2700705640369715799344052614067 y[1] (numeric) = 0.2700705640369715478467305388524 absolute error = 3.208767472255430e-17 relative error = 1.1881218835149181856480000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.945 Order of pole = 3.591 x[1] = -1.643 y[1] (analytic) = 0.27031052462136929039973250070483 y[1] (numeric) = 0.27031052462136925808547668272519 absolute error = 3.231425581797964e-17 relative error = 1.1954494137156896121836000000000e-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) = 0.27055076560455647523193654830887 absolute error = 3.254206915057246e-17 relative error = 1.2028082447985650604344000000000e-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) = 0.27079128734448791579803233043398 absolute error = 3.277112004680211e-17 relative error = 1.2101984656955462277891000000000e-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) = 0.27103209019947958538540314743241 absolute error = 3.300141385170029e-17 relative error = 1.2176201654723338998400000000000e-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) = 0.27127317452820844345694709365698 absolute error = 3.323295592889586e-17 relative error = 1.2250734333276331553106000000000e-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) = 0.27151454068971206337588259623137 absolute error = 3.346575166064962e-17 relative error = 1.2325583585924561904328000000000e-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) = 0.27175618904338828768667188811549 absolute error = 3.369980644788875e-17 relative error = 1.2400750307294113769875000000000e-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) = 0.27199811994899487861203876375807 absolute error = 3.393512571024109e-17 relative error = 1.2476235393319852642064000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=72.4MB, alloc=4.5MB, time=13.28 Complex estimate of poles used Radius of convergence = 1.938 Order of pole = 3.595 x[1] = -1.635 y[1] (analytic) = 0.2722403337666491979119166400098 y[1] (numeric) = 0.27224033376664916374020175394064 absolute error = 3.417171488606916e-17 relative error = 1.2552039741238139024100000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.937 Order of pole = 3.595 x[1] = -1.634 y[1] (analytic) = 0.27248283085682771128591187469278 y[1] (numeric) = 0.27248283085682767687633244218874 absolute error = 3.440957943250404e-17 relative error = 1.2628164249579479662224000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.937 Order of pole = 3.596 x[1] = -1.633 y[1] (analytic) = 0.27272561158036582868086167111528 y[1] (numeric) = 0.27272561158036579403213684563644 absolute error = 3.464872482547884e-17 relative error = 1.2704609818161018236076000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.936 Order of pole = 3.596 x[1] = -1.632 y[1] (analytic) = 0.27296867629845739941650215754442 y[1] (numeric) = 0.27296867629845736452734559778227 absolute error = 3.488915655976215e-17 relative error = 1.2781377348079009460160000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.935 Order of pole = 3.597 x[1] = -1.631 y[1] (analytic) = 0.27321202537265437230766624746835 y[1] (numeric) = 0.27321202537265433717678609847725 absolute error = 3.513088014899110e-17 relative error = 1.2858467741701141356710000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.934 Order of pole = 3.597 x[1] = -1.63 y[1] (analytic) = 0.27345565916486641691049796275534 y[1] (numeric) = 0.27345565916486638153659683705112 absolute error = 3.537390112570422e-17 relative error = 1.2935881902658776211800000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.933 Order of pole = 3.597 x[1] = -1.629 y[1] (analytic) = 0.27369957803736053980125578840395 y[1] (numeric) = 0.27369957803736050418303074702988 absolute error = 3.561822504137407e-17 relative error = 1.3013620735839099848887000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.932 Order of pole = 3.598 x[1] = -1.628 y[1] (analytic) = 0.27394378235276069586103818118861 y[1] (numeric) = 0.273943782352760659997180714749 absolute error = 3.586385746643961e-17 relative error = 1.3091685147377168931024000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.932 Order of pole = 3.598 x[1] = -1.627 y[1] (analytic) = 0.27418827247404739453965022898834 y[1] (numeric) = 0.27418827247404735842884623865004 absolute error = 3.611080399033830e-17 relative error = 1.3170076044647853374070000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.931 Order of pole = 3.599 x[1] = -1.626 y[1] (analytic) = 0.27443304876455730107171594203535 y[1] (numeric) = 0.27443304876455726471264572049739 absolute error = 3.635907022153796e-17 relative error = 1.3248794336257685553296000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.93 Order of pole = 3.599 x[1] = -1.625 y[1] (analytic) = 0.27467811158798283261802575107296 y[1] (numeric) = 0.27467811158798279600936396350459 absolute error = 3.660866178756837e-17 relative error = 1.3327840932036609703125000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.929 Order of pole = 3.6 x[1] = -1.624 y[1] (analytic) = 0.27492346130837174930499348981244 y[1] (numeric) = 0.27492346130837171244540915475983 absolute error = 3.685958433505261e-17 relative error = 1.3407216743029632235136000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.928 Order of pole = 3.6 x[1] = -1.623 y[1] (analytic) = 0.27516909829012674013498144947524 y[1] (numeric) = 0.27516909829012670302313791973717 absolute error = 3.711184352973807e-17 relative error = 1.3486922681488348259103000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.927 Order of pole = 3.601 x[1] = -1.622 y[1] (analytic) = 0.27541502289800500374013601095491 y[1] (numeric) = 0.27541502289800496637469095442763 absolute error = 3.736544505652728e-17 relative error = 1.3566959660862399651552000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.927 Order of pole = 3.601 x[1] = -1.621 y[1] (analytic) = 0.27566123549711782395225988459167 y[1] (numeric) = 0.27566123549711778633186526508327 absolute error = 3.762039461950840e-17 relative error = 1.3647328595790807168440000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.926 Order of pole = 3.601 x[1] = -1.62 y[1] (analytic) = 0.27590773645293014016113011808851 y[1] (numeric) = 0.27590773645293010228443217610309 absolute error = 3.787669794198542e-17 relative error = 1.3728030402093195624800000000000e-14 % 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) = 0.27615452613126007429919300257311 absolute error = 3.813436076650813e-17 relative error = 1.3809065996760934653893000000000e-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) = 0.27640160489827864297194662478217 absolute error = 3.839338885490176e-17 relative error = 1.3890436297948159514624000000000e-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) = 0.27664897312050908398442514705228 absolute error = 3.865378798829629e-17 relative error = 1.3972142224962672820381000000000e-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] = -1.616 y[1] (analytic) = 0.27689663116482659625369933899236 y[1] (numeric) = 0.2768966311648265573381353718368 absolute error = 3.891556396715556e-17 relative error = 1.4054184698256775009536000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=76.2MB, alloc=4.5MB, time=14.00 Complex estimate of poles used Radius of convergence = 1.922 Order of pole = 3.603 x[1] = -1.615 y[1] (analytic) = 0.27714457939845769041564758295284 y[1] (numeric) = 0.27714457939845765123692497164685 absolute error = 3.917872261130599e-17 relative error = 1.4136564639417955576775000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.921 Order of pole = 3.604 x[1] = -1.614 y[1] (analytic) = 0.27739281818897996003324275533177 y[1] (numeric) = 0.27739281818897992058997299536677 absolute error = 3.944326975996500e-17 relative error = 1.4219282971159478514000000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.92 Order of pole = 3.604 x[1] = -1.613 y[1] (analytic) = 0.27764134790432145981599597308989 y[1] (numeric) = 0.27764134790432142010678470132072 absolute error = 3.970921127176917e-17 relative error = 1.4302340617310877166173000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.919 Order of pole = 3.604 x[1] = -1.612 y[1] (analytic) = 0.27789016891276027193220369127069 y[1] (numeric) = 0.27789016891276023195565066646864 absolute error = 3.997655302480205e-17 relative error = 1.4385738502808326821520000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.918 Order of pole = 3.605 x[1] = -1.611 y[1] (analytic) = 0.27813928158292402820221059538216 y[1] (numeric) = 0.27813928158292398795690967876052 absolute error = 4.024530091662164e-17 relative error = 1.4469477553684903134644000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.917 Order of pole = 3.605 x[1] = -1.61 y[1] (analytic) = 0.27838868628378942679769494167757 y[1] (numeric) = 0.27838868628378938628223407739001 absolute error = 4.051546086428756e-17 relative error = 1.4553558697060734427600000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.917 Order of pole = 3.605 x[1] = -1.609 y[1] (analytic) = 0.27863838338468174341807376728289 y[1] (numeric) = 0.27863838338468170263103496289503 absolute error = 4.078703880438786e-17 relative error = 1.4637982861133030738466000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.916 Order of pole = 3.606 x[1] = -1.608 y[1] (analytic) = 0.27888837325527433691500374825974 y[1] (numeric) = 0.27888837325527429585496305519415 absolute error = 4.106004069306559e-17 relative error = 1.4722750975166033570176000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.915 Order of pole = 3.606 x[1] = -1.607 y[1] (analytic) = 0.27913865626558814933583143821447 y[1] (numeric) = 0.2791386562655881080013589321696 absolute error = 4.133447250604487e-17 relative error = 1.4807863969480793848663000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.914 Order of pole = 3.606 x[1] = -1.606 y[1] (analytic) = 0.27938923278599120035672417242115 y[1] (numeric) = 0.27938923278599115874638393376435 absolute error = 4.161034023865680e-17 relative error = 1.4893322775444901020480000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.913 Order of pole = 3.607 x[1] = -1.605 y[1] (analytic) = 0.27964010318719807607609007207724 y[1] (numeric) = 0.27964010318719803418844016621237 absolute error = 4.188764990586487e-17 relative error = 1.4979128325462042174175000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.912 Order of pole = 3.607 x[1] = -1.604 y[1] (analytic) = 0.27989126784026941213877232972535 y[1] (numeric) = 0.27989126784026936997236478743528 absolute error = 4.216640754229007e-17 relative error = 1.5065281552961463873712000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.912 Order of pole = 3.607 x[1] = -1.603 y[1] (analytic) = 0.28014272711661137116137929952552 y[1] (numeric) = 0.28014272711661132871476009728981 absolute error = 4.244661920223571e-17 relative error = 1.5151783392387341053739000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.911 Order of pole = 3.608 x[1] = -1.602 y[1] (analytic) = 0.28039448138797511442898785443264 y[1] (numeric) = 0.28039448138797507170069689472087 absolute error = 4.272829095971177e-17 relative error = 1.5238634779187989537508000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.91 Order of pole = 3.608 x[1] = -1.601 y[1] (analytic) = 0.28064653102645626783333300591238 y[1] (numeric) = 0.28064653102645622482190409745344 absolute error = 4.301142890845894e-17 relative error = 1.5325836649804980346694000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.909 Order of pole = 3.608 x[1] = -1.6 y[1] (analytic) = 0.28089887640449438202247191011236 y[1] (numeric) = 0.28089887640449433872643274814009 absolute error = 4.329603916197227e-17 relative error = 1.5413389941662128120000000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.908 Order of pole = 3.609 x[1] = -1.599 y[1] (analytic) = 0.28115151789487238673178510689802 y[1] (numeric) = 0.28115151789487234314965725337356 absolute error = 4.358212785352446e-17 relative error = 1.5501295593154365285246000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.907 Order of pole = 3.609 x[1] = -1.598 y[1] (analytic) = 0.28140445587071603926605215437623 y[1] (numeric) = 0.28140445587071599539635101818747 absolute error = 4.386970113618876e-17 relative error = 1.5589554543636492229104000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.906 Order of pole = 3.609 x[1] = -1.597 y[1] (analytic) = 0.28165769070549336710221273098395 y[1] (numeric) = 0.28165769070549332294344754812247 absolute error = 4.415876518286148e-17 relative error = 1.5678167733411804434532000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.906 Order of pole = 3.609 memory used=80.1MB, alloc=4.5MB, time=14.72 x[1] = -1.596 y[1] (analytic) = 0.28191122277301410458229777944168 y[1] (numeric) = 0.28191122277301406013297159315759 absolute error = 4.444932618628409e-17 relative error = 1.5767136103720590459344000000000e-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) = 0.28216505244742907892449800233203 absolute error = 4.474139035906497e-17 relative error = 1.5856460596728523030425000000000e-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) = 0.28241918010322981367636864425546 absolute error = 4.503496393370071e-17 relative error = 1.5946142155514908719356000000000e-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) = 0.28267360611524767992477002647573 absolute error = 4.533005316259701e-17 relative error = 1.6036181724060814982949000000000e-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) = 0.28292833085865348712964611540225 absolute error = 4.562666431808922e-17 relative error = 1.6126580247237089687808000000000e-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) = 0.28318335470895684535629231773902 absolute error = 4.592480369246238e-17 relative error = 1.6217338670792224570878000000000e-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) = 0.28343867804200556586134763374024 absolute error = 4.622447759797088e-17 relative error = 1.6308457941340106172800000000000e-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) = 0.28369430123398505555177263164863 absolute error = 4.652569236685772e-17 relative error = 1.6399939006347648124012000000000e-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) = 0.28395022466141770528527112100632 absolute error = 4.682845435137327e-17 relative error = 1.6491782814122270538288000000000e-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) = 0.28420644870116227198048321974282 absolute error = 4.713276992379366e-17 relative error = 1.6583990313799273447254000000000e-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) = 0.28446297373041325450514691565603 absolute error = 4.743864547643863e-17 relative error = 1.6676562455329045414748000000000e-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) = 0.28471980012670026331029421673104 absolute error = 4.774608742168905e-17 relative error = 1.6769500189464182363625000000000e-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) = 0.28497692826788738377841656631742 absolute error = 4.805510219200391e-17 relative error = 1.6862804467746447240896000000000e-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) = 0.28523435853217253325340236814803 absolute error = 4.836569623993682e-17 relative error = 1.6956476242493585793298000000000e-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) = 0.28549209129808681171991722217894 absolute error = 4.867787603815216e-17 relative error = 1.7050516466786048648384000000000e-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) = 0.28575012694449384609976481491957 absolute error = 4.899164807944061e-17 relative error = 1.7144926094453526057221000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.892 Order of pole = 3.613 x[1] = -1.58 y[1] (analytic) = 0.28600846585058917743965221370553 y[1] (numeric) = 0.28600846585058912813263333697123 absolute error = 4.930701887673430e-17 relative error = 1.7239706080061380652000000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.891 Order of pole = 3.613 x[1] = -1.579 y[1] (analytic) = 0.28626710839589939543249377870007 y[1] (numeric) = 0.28626710839589934580849881557861 absolute error = 4.962399496312146e-17 relative error = 1.7334857378896937205186000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.891 Order of pole = 3.613 x[1] = -1.578 y[1] (analytic) = 0.2865260549602817582614057426698 y[1] (numeric) = 0.28652605496028170831882285080925 absolute error = 4.994258289186055e-17 relative error = 1.7430380946955623578620000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.89 Order of pole = 3.613 x[1] = -1.577 y[1] (analytic) = 0.28678530592392331475633716660133 y[1] (numeric) = 0.28678530592392326449354793020739 absolute error = 5.026278923639394e-17 relative error = 1.7526277740926988481026000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=83.9MB, alloc=4.5MB, time=15.42 Complex estimate of poles used Radius of convergence = 1.889 Order of pole = 3.613 x[1] = -1.576 y[1] (analytic) = 0.28704486166734026527537935848918 y[1] (numeric) = 0.28704486166734021469075876812817 absolute error = 5.058462059036101e-17 relative error = 1.7622548718180551797376000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.888 Order of pole = 3.613 x[1] = -1.575 y[1] (analytic) = 0.28730472257137726701382653977375 y[1] (numeric) = 0.28730472257137721610574297216291 absolute error = 5.090808356761084e-17 relative error = 1.7719194836751547997500000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.887 Order of pole = 3.613 x[1] = -1.574 y[1] (analytic) = 0.28756488901720673269923358205779 y[1] (numeric) = 0.2875648890172066814660487798435 absolute error = 5.123318480221429e-17 relative error = 1.7816217055326494033204000000000e-14 % 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) = 0.2878253613863280710790016339021 absolute error = 5.155993094847568e-17 relative error = 1.7913616333228656081872000000000e-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) = 0.28808614006056717819800497350957 absolute error = 5.188832868094378e-17 relative error = 1.8011393630403315403552000000000e-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) = 0.28834722542207540767381381188127 absolute error = 5.221838469442243e-17 relative error = 1.8109549907402945855963000000000e-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) = 0.28860861785332904785683244719267 absolute error = 5.255010570398052e-17 relative error = 1.8208086125372210374800000000000e-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) = 0.28887031773712853571635001366986 absolute error = 5.288349844496146e-17 relative error = 1.8307003246032822873106000000000e-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) = 0.28913232545659771514248952280372 absolute error = 5.321856967299206e-17 relative error = 1.8406302231668249052544000000000e-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) = 0.2893946413951830883965075706845 absolute error = 5.355532616399097e-17 relative error = 1.8505984045108299293433000000000e-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) = 0.28965726593665306067494299627992 absolute error = 5.389377471417636e-17 relative error = 1.8606049649713504150416000000000e-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) = 0.28992019946509717775297346691094 absolute error = 5.423392214007324e-17 relative error = 1.8706500009359412123900000000000e-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) = 0.29018344236492535667219924105225 absolute error = 5.457577527852004e-17 relative error = 1.8807336088420679576384000000000e-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) = 0.29044699502086710943793321474854 absolute error = 5.491934098667471e-17 relative error = 1.8908558851755043961399000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.877 Order of pole = 3.614 x[1] = -1.562 y[1] (analytic) = 0.29071085781797081495556193827394 y[1] (numeric) = 0.2907108578179707596909357962538 absolute error = 5.526462614202014e-17 relative error = 1.9010169264687112645816000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.876 Order of pole = 3.614 x[1] = -1.561 y[1] (analytic) = 0.29097503114160270793002981621144 y[1] (numeric) = 0.29097503114160265231839217384233 absolute error = 5.561163764236911e-17 relative error = 1.9112168292992041008831000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.875 Order of pole = 3.614 x[1] = -1.56 y[1] (analytic) = 0.2912395153774464119291705498602 y[1] (numeric) = 0.29123951537744635596878814399173 absolute error = 5.596038240586847e-17 relative error = 1.9214556902878997859200000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.874 Order of pole = 3.614 x[1] = -1.559 y[1] (analytic) = 0.29150431091150191474606622220033 y[1] (numeric) = 0.29150431091150185843519885119745 absolute error = 5.631086737100288e-17 relative error = 1.9317336060974533078528000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.874 Order of pole = 3.614 x[1] = -1.558 y[1] (analytic) = 0.29176941813008481153446205305302 y[1] (numeric) = 0.29176941813008475487136255645525 absolute error = 5.666309949659777e-17 relative error = 1.9420506734305731937828000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.873 Order of pole = 3.614 x[1] = -1.557 y[1] (analytic) = 0.29203483741982548582185466068618 y[1] (numeric) = 0.29203483741982542880476889886435 absolute error = 5.701708576182183e-17 relative error = 1.9524069890283263955567000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=87.7MB, alloc=4.5MB, time=16.14 Complex estimate of poles used Radius of convergence = 1.872 Order of pole = 3.613 x[1] = -1.556 y[1] (analytic) = 0.29230056916766828328368120998405 y[1] (numeric) = 0.29230056916766822591084804379528 absolute error = 5.737283316618877e-17 relative error = 1.9628026496684238384272000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.871 Order of pole = 3.613 x[1] = -1.555 y[1] (analytic) = 0.29256661376087067824255235113845 y[1] (numeric) = 0.29256661376087062051220362158 absolute error = 5.773034872955845e-17 relative error = 1.9732377521634902106125000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.87 Order of pole = 3.613 x[1] = -1.554 y[1] (analytic) = 0.29283297158700243285632794481621 y[1] (numeric) = 0.29283297158700237476668845267881 absolute error = 5.808963949213740e-17 relative error = 1.9837123933593188145840000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.869 Order of pole = 3.613 x[1] = -1.553 y[1] (analytic) = 0.29309964303394474895869024321115 y[1] (numeric) = 0.29309964303394469050797772873248 absolute error = 5.845071251447867e-17 relative error = 1.9942266701331095661403000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.868 Order of pole = 3.613 x[1] = -1.552 y[1] (analytic) = 0.29336662848988941251572445128706 y[1] (numeric) = 0.29336662848988935370214957380603 absolute error = 5.881357487748103e-17 relative error = 2.0047806793916909688512000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.868 Order of pole = 3.613 x[1] = -1.551 y[1] (analytic) = 0.29363392834333793066187142886087 y[1] (numeric) = 0.29363392834333787148363774647342 absolute error = 5.917823368238745e-17 relative error = 2.0153745180697238210745000000000e-14 % 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) = 0.29390154298310060173377566119347 absolute error = 5.954469605078302e-17 relative error = 2.0260082831278922555000000000000e-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) = 0.29416947279829587516500490671522 absolute error = 5.991296912459206e-17 relative error = 2.0366820715510737335606000000000e-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) = 0.29443771817834910987367502006606 absolute error = 6.028306006607464e-17 relative error = 2.0473959803464956413056000000000e-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) = 0.29470627951299191832421443707497 absolute error = 6.065497605782234e-17 relative error = 2.0581501065418728448906000000000e-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) = 0.29497515719226120672730528443483 absolute error = 6.102872430275334e-17 relative error = 2.0689445471835294198744000000000e-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) = 0.29524435160649826677454700409643 absolute error = 6.140431202410679e-17 relative error = 2.0797793993345030039975000000000e-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] = -1.544 y[1] (analytic) = 0.29551386314634792147369217384726 y[1] (numeric) = 0.2955138631463478596919457084108 absolute error = 6.178174646543646e-17 relative error = 2.0906547600726319270656000000000e-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) = 0.29578369220275729257441765400863 absolute error = 6.216103489060368e-17 relative error = 2.1015707264886256092432000000000e-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) = 0.2960538391669754869633462940538 absolute error = 6.254218458376952e-17 relative error = 2.1125273956841166895328000000000e-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) = 0.29632430443055203962908302237471 absolute error = 6.292520284938621e-17 relative error = 2.1235248647696950454901000000000e-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) = 0.29659508838533627552013195922035 absolute error = 6.331009701218788e-17 relative error = 2.1345632308629265620800000000000e-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) = 0.29686619142347629284060894718028 absolute error = 6.369687441718052e-17 relative error = 2.1456425910863534241092000000000e-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) = 0.29713761393741800021741432733767 absolute error = 6.408554242963110e-17 relative error = 2.1567630425654740770840000000000e-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) = 0.29740935631990414591840805019592 absolute error = 6.447610843505600e-17 relative error = 2.1679246824267080766400000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=91.5MB, alloc=4.5MB, time=16.87 Complex estimate of poles used Radius of convergence = 1.855 Order of pole = 3.611 x[1] = -1.536 y[1] (analytic) = 0.2976814189639734039513040827602 y[1] (numeric) = 0.29768141896397333908272424355156 absolute error = 6.486857983920864e-17 relative error = 2.1791276077953422751744000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.854 Order of pole = 3.611 x[1] = -1.535 y[1] (analytic) = 0.29795380226295912818717457858159 y[1] (numeric) = 0.29795380226295906292421051051528 absolute error = 6.526296406806631e-17 relative error = 2.1903719157934585127975000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.853 Order of pole = 3.61 x[1] = -1.534 y[1] (analytic) = 0.29822650661048874552809353337572 y[1] (numeric) = 0.29822650661048867986882496555952 absolute error = 6.565926856781620e-17 relative error = 2.2016577035378429792720000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.852 Order of pole = 3.61 x[1] = -1.533 y[1] (analytic) = 0.29849953240048249464417213990434 y[1] (numeric) = 0.29849953240048242858667133506372 absolute error = 6.605750080484062e-17 relative error = 2.2129850681378770781518000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.851 Order of pole = 3.61 x[1] = -1.532 y[1] (analytic) = 0.29877288002715247933686761732213 y[1] (numeric) = 0.29877288002715241287919935162069 absolute error = 6.645766826570144e-17 relative error = 2.2243541066934109651456000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.85 Order of pole = 3.61 x[1] = -1.531 y[1] (analytic) = 0.2990465498850016492417226157841 y[1] (numeric) = 0.29904654988500158238194415866045 absolute error = 6.685977845712365e-17 relative error = 2.2357649162926165777765000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.85 Order of pole = 3.609 x[1] = -1.53 y[1] (analytic) = 0.29932054236882277230686342003652 y[1] (numeric) = 0.2993205423688227050430245140584 absolute error = 6.726383890597812e-17 relative error = 2.2472175940098230110800000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.849 Order of pole = 3.609 x[1] = -1.529 y[1] (analytic) = 0.29959485787369739900732239792129 y[1] (numeric) = 0.29959485787369733133746523865774 absolute error = 6.766985715926355e-17 relative error = 2.2587122369033340699555000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.848 Order of pole = 3.609 x[1] = -1.528 y[1] (analytic) = 0.29986949679499481825509538248954 y[1] (numeric) = 0.299869496794994750177254598402 absolute error = 6.807784078408754e-17 relative error = 2.2702489420132258299136000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.847 Order of pole = 3.609 x[1] = -1.527 y[1] (analytic) = 0.30014445952837100496468950505878 y[1] (numeric) = 0.30014445952837093647689213741202 absolute error = 6.848779736764676e-17 relative error = 2.2818278063591237204804000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.846 Order of pole = 3.608 x[1] = -1.526 y[1] (analytic) = 0.30041974646976755923376141144407 y[1] (numeric) = 0.3004197464697674903340268942377 absolute error = 6.889973451720637e-17 relative error = 2.2934489269379643086612000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.845 Order of pole = 3.608 x[1] = -1.525 y[1] (analytic) = 0.30069535801541063709828979515129 y[1] (numeric) = 0.30069535801541056778462993507287 absolute error = 6.931365986007842e-17 relative error = 2.3051124007217329551250000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.844 Order of pole = 3.608 x[1] = -1.524 y[1] (analytic) = 0.30097129456180987282156976996162 y[1] (numeric) = 0.30097129456180980309198872636214 absolute error = 6.972958104359948e-17 relative error = 2.3168183246551858586048000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.844 Order of pole = 3.608 x[1] = -1.523 y[1] (analytic) = 0.30124755650575729267615978049898 y[1] (numeric) = 0.30124755650575722252865404539162 absolute error = 7.014750573510736e-17 relative error = 2.3285667956535519963344000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.843 Order of pole = 3.607 x[1] = -1.522 y[1] (analytic) = 0.30152414424432622017775451351492 y[1] (numeric) = 0.30152414424432614961031289159805 absolute error = 7.056744162191687e-17 relative error = 2.3403579106002134868508000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.842 Order of pole = 3.607 x[1] = -1.521 y[1] (analytic) = 0.30180105817487017272979962522345 y[1] (numeric) = 0.30180105817487010174040321392873 absolute error = 7.098939641129472e-17 relative error = 2.3521917663443678833152000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.841 Order of pole = 3.607 x[1] = -1.52 y[1] (analytic) = 0.30207829869502174963750604156597 y[1] (numeric) = 0.30207829869502167822412821113246 absolute error = 7.141337783043351e-17 relative error = 2.3640684596986709150400000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.84 Order of pole = 3.606 x[1] = -1.519 y[1] (analytic) = 0.30235586620269151144976311929662 y[1] (numeric) = 0.30235586620269143961036949287186 absolute error = 7.183939362642476e-17 relative error = 2.3759880874368582065836000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.839 Order of pole = 3.606 x[1] = -1.518 y[1] (analytic) = 0.30263376109606685058729107678303 y[1] (numeric) = 0.30263376109606677831983951055203 absolute error = 7.226745156623100e-17 relative error = 2.3879507462913468284400000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.838 Order of pole = 3.606 memory used=95.3MB, alloc=4.5MB, time=17.59 x[1] = -1.517 y[1] (analytic) = 0.30291198377361085321521381496743 y[1] (numeric) = 0.30291198377361078051765437831049 absolute error = 7.269755943665694e-17 relative error = 2.3999565329508175279566000000000e-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) = 0.30319053463406107918834850727851 absolute error = 7.312972504431967e-17 relative error = 2.4120055440577761749552000000000e-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) = 0.30346941407642869837119237059396 absolute error = 7.356395621561791e-17 relative error = 2.4240978762060952747975000000000e-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) = 0.30374862249999688851351420333013 absolute error = 7.400026079670024e-17 relative error = 2.4362336259385334332704000000000e-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) = 0.30402816030431995289956552113202 absolute error = 7.443864665343244e-17 relative error = 2.4484128897442372524236000000000e-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) = 0.30430802788922206511230901457098 absolute error = 7.487912167136366e-17 relative error = 2.4606357640562166312704000000000e-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) = 0.30458822565479607748534564370892 absolute error = 7.532169375569183e-17 relative error = 2.4729023452488071660143000000000e-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) = 0.30486875400140232050203561979498 absolute error = 7.576637083122785e-17 relative error = 2.4852127296351047078500000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.831 Order of pole = 3.603 x[1] = -1.509 y[1] (analytic) = 0.30514961332966746931186626146867 y[1] (numeric) = 0.30514961332966739309870541910983 absolute error = 7.621316084235884e-17 relative error = 2.4975670134643814974604000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.831 Order of pole = 3.602 x[1] = -1.508 y[1] (analytic) = 0.30543080404048302049074178146792 y[1] (numeric) = 0.30543080404048294382867002845757 absolute error = 7.666207175301035e-17 relative error = 2.5099652929194807856240000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.83 Order of pole = 3.602 x[1] = -1.507 y[1] (analytic) = 0.30571232653500451995674782004183 y[1] (numeric) = 0.30571232653500444284363627343426 absolute error = 7.711311154660757e-17 relative error = 2.5224076641141914524093000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.829 Order of pole = 3.602 x[1] = -1.506 y[1] (analytic) = 0.30599418121465002221517755618359 y[1] (numeric) = 0.30599418121464994464888933014822 absolute error = 7.756628822603537e-17 relative error = 2.5348942230905972643332000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.828 Order of pole = 3.601 x[1] = -1.505 y[1] (analytic) = 0.30627636848109891961011018292356 y[1] (numeric) = 0.30627636848109884158850036932613 absolute error = 7.802160981359743e-17 relative error = 2.5474250658164094888575000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.827 Order of pole = 3.601 x[1] = -1.504 y[1] (analytic) = 0.30655888873629068649571308049991 y[1] (numeric) = 0.30655888873629060801662872952577 absolute error = 7.847908435097414e-17 relative error = 2.5600002881822726026624000000000e-14 % 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) = 0.30684174238242353511082706432989 absolute error = 7.893871989917957e-17 relative error = 2.5726199859990531124613000000000e-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) = 0.3071249298219534562830925577763 absolute error = 7.940052453851719e-17 relative error = 2.5852842549951012470876000000000e-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) = 0.30740845145759246314424155376847 absolute error = 7.986450636853466e-17 relative error = 2.5979931908134961751466000000000e-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) = 0.307692307692307611977018799715 absolute error = 8.033067350797731e-17 relative error = 2.6107468890092625750000000000000e-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) = 0.30797649892931962067318596309115 absolute error = 8.079903409474068e-17 relative error = 2.6235454450465708270068000000000e-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) = 0.30826102557210155608966714295326 absolute error = 8.126959628582180e-17 relative error = 2.6363889542959106248720000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=99.1MB, alloc=4.5MB, time=18.30 Complex estimate of poles used Radius of convergence = 1.821 Order of pole = 3.598 x[1] = -1.497 y[1] (analytic) = 0.30854588802437759352103002490891 y[1] (numeric) = 0.30854588802437751177866176763955 absolute error = 8.174236825726936e-17 relative error = 2.6492775120312431118424000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.82 Order of pole = 3.597 x[1] = -1.496 y[1] (analytic) = 0.30883108669012135826382575008894 y[1] (numeric) = 0.3088310866901212760464675459562 absolute error = 8.221735820413274e-17 relative error = 2.6622112134271307824384000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.819 Order of pole = 3.597 x[1] = -1.495 y[1] (analytic) = 0.30911662197355507299016236350569 y[1] (numeric) = 0.30911662197355499029558802309581 absolute error = 8.269457434040988e-17 relative error = 2.6751901535558447204700000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.819 Order of pole = 3.596 x[1] = -1.494 y[1] (analytic) = 0.30940249427914788077855568440451 y[1] (numeric) = 0.3094024942791477976045307854106 absolute error = 8.317402489899391e-17 relative error = 2.6882144273844468090076000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.818 Order of pole = 3.596 x[1] = -1.493 y[1] (analytic) = 0.30968870401161456515525159265158 y[1] (numeric) = 0.30968870401161448149953346103295 absolute error = 8.365571813161863e-17 relative error = 2.7012841297718500558287000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.817 Order of pole = 3.596 x[1] = -1.492 y[1] (analytic) = 0.30997525157591417901194768609674 y[1] (numeric) = 0.30997525157591409487228537729389 absolute error = 8.413966230880285e-17 relative error = 2.7143993554658575748240000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.816 Order of pole = 3.595 x[1] = -1.491 y[1] (analytic) = 0.31026213737724866362340878184569 y[1] (numeric) = 0.3102621373772485789975430620523 absolute error = 8.462586571979339e-17 relative error = 2.7275601991001739923459000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.815 Order of pole = 3.595 x[1] = -1.49 y[1] (analytic) = 0.31054936182106145771870438806248 y[1] (numeric) = 0.31054936182106137260436771555553 absolute error = 8.511433667250695e-17 relative error = 2.7407667551913962969500000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.814 Order of pole = 3.594 x[1] = -1.489 y[1] (analytic) = 0.31083692531303609655962582694279 y[1] (numeric) = 0.31083692531303601095454233347205 absolute error = 8.560508349347074e-17 relative error = 2.7540191181359808053954000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.813 Order of pole = 3.594 x[1] = -1.488 y[1] (analytic) = 0.31112482825909480097966985922224 y[1] (numeric) = 0.31112482825909471488155533146045 absolute error = 8.609811452776179e-17 relative error = 2.7673173822071839075776000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.812 Order of pole = 3.593 x[1] = -1.487 y[1] (analytic) = 0.31141307106539705633680444722779 y[1] (numeric) = 0.31141307106539696974336630828266 absolute error = 8.659343813894513e-17 relative error = 2.7806616415519829415697000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.812 Order of pole = 3.593 x[1] = -1.486 y[1] (analytic) = 0.31170165413833818133306069828651 y[1] (numeric) = 0.31170165413833809424199798927594 absolute error = 8.709106270901057e-17 relative error = 2.7940519901879687463172000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.811 Order of pole = 3.592 x[1] = -1.485 y[1] (analytic) = 0.31199057788454788665382305454375 y[1] (numeric) = 0.31199057788454779906282641623545 absolute error = 8.759099663830830e-17 relative error = 2.8074885220002172086750000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.81 Order of pole = 3.592 x[1] = -1.484 y[1] (analytic) = 0.31227984271088882337951744020466 y[1] (numeric) = 0.31227984271088873528626909472152 absolute error = 8.809324834548314e-17 relative error = 2.8209713307381345796384000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.809 Order of pole = 3.591 x[1] = -1.483 y[1] (analytic) = 0.31256944902445512112222434422148 y[1] (numeric) = 0.31256944902445503252439807681401 absolute error = 8.859782626740747e-17 relative error = 2.8345005100122777728883000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.808 Order of pole = 3.591 x[1] = -1.482 y[1] (analytic) = 0.31285939723257091583957070684949 y[1] (numeric) = 0.31285939723257082673483184773654 absolute error = 8.910473885911295e-17 relative error = 2.8480761532911534079580000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.807 Order of pole = 3.59 x[1] = -1.481 y[1] (analytic) = 0.31314968774278886727808099366154 y[1] (numeric) = 0.31314968774278877766408639994074 absolute error = 8.961399459372080e-17 relative error = 2.8616983538979884760880000000000e-14 % 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) = 0.31344032096288857587239201957509 absolute error = 9.012560196237075e-17 relative error = 2.8753672050074764080000000000000e-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) = 0.31373129730087543929180807919265 absolute error = 9.063956947414873e-17 relative error = 2.8890827996425010209993000000000e-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) = 0.31402261716497859926929352853295 absolute error = 9.115590565601312e-17 relative error = 2.9028452306708328443008000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=103.0MB, alloc=4.5MB, time=19.01 Complex estimate of poles used Radius of convergence = 1.804 Order of pole = 3.588 x[1] = -1.477 y[1] (analytic) = 0.31431428096364986772083485644795 y[1] (numeric) = 0.31431428096364977604621580372833 absolute error = 9.167461905271962e-17 relative error = 2.9166545908017999989898000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.803 Order of pole = 3.588 x[1] = -1.476 y[1] (analytic) = 0.31460628910556173582132376259054 y[1] (numeric) = 0.31460628910556164362560553584576 absolute error = 9.219571822674478e-17 relative error = 2.9305109725829351583328000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.802 Order of pole = 3.587 x[1] = -1.475 y[1] (analytic) = 0.31489864199960637669750049202913 y[1] (numeric) = 0.31489864199960628397828873382103 absolute error = 9.271921175820810e-17 relative error = 2.9444144683965959756250000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.801 Order of pole = 3.587 x[1] = -1.474 y[1] (analytic) = 0.31519134005489372378396029093421 y[1] (numeric) = 0.31519134005489363053885204614152 absolute error = 9.324510824479269e-17 relative error = 2.9583651704565589253844000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.8 Order of pole = 3.586 x[1] = -1.473 y[1] (analytic) = 0.31548438368074999471563657334744 y[1] (numeric) = 0.31548438368074990094222027168284 absolute error = 9.377341630166460e-17 relative error = 2.9723631708045903089340000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.799 Order of pole = 3.586 x[1] = -1.472 y[1] (analytic) = 0.31577777328671611325559305592045 y[1] (numeric) = 0.31577777328671601895144849452988 absolute error = 9.430414456139057e-17 relative error = 2.9864085613069867482688000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.799 Order of pole = 3.585 x[1] = -1.471 y[1] (analytic) = 0.31607150928254612036445573592352 y[1] (numeric) = 0.31607150928254602552715406206902 absolute error = 9.483730167385450e-17 relative error = 3.0005014336510949513450000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.798 Order of pole = 3.585 x[1] = -1.47 y[1] (analytic) = 0.31636559207820557436173241798222 y[1] (numeric) = 0.31636559207820547898883611180995 absolute error = 9.537289630617227e-17 relative error = 3.0146418793417992824300000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.797 Order of pole = 3.584 x[1] = -1.469 y[1] (analytic) = 0.31666002208386994012908962460271 y[1] (numeric) = 0.31666002208386984421815248199746 absolute error = 9.591093714260525e-17 relative error = 3.0288299896979881789525000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.796 Order of pole = 3.584 x[1] = -1.468 y[1] (analytic) = 0.31695479970992296730547850032203 y[1] (numeric) = 0.3169547997099228708540456158498 absolute error = 9.645143288447223e-17 relative error = 3.0430658558489911298352000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.795 Order of pole = 3.583 x[1] = -1.467 y[1] (analytic) = 0.3172499253669550574238227410457 y[1] (numeric) = 0.31724992536695496042943049098586 absolute error = 9.699439225005984e-17 relative error = 3.0573495687309887100576000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.794 Order of pole = 3.583 x[1] = -1.466 y[1] (analytic) = 0.31754539946576161993880265061496 y[1] (numeric) = 0.31754539946576152239897867608341 absolute error = 9.753982397453155e-17 relative error = 3.0716812190833987787180000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.793 Order of pole = 3.582 x[1] = -1.465 y[1] (analytic) = 0.31784122241734141709509014771671 y[1] (numeric) = 0.3178412224173413190073533378817 absolute error = 9.808773680983501e-17 relative error = 3.0860608974452315433725000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.793 Order of pole = 3.582 x[1] = -1.464 y[1] (analytic) = 0.31813739463289489758520991977847 y[1] (numeric) = 0.31813739463289479894707039517053 absolute error = 9.863813952460794e-17 relative error = 3.1004886941514203937024000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.792 Order of pole = 3.581 x[1] = -1.463 y[1] (analytic) = 0.31843391652382251894602194837613 y[1] (numeric) = 0.31843391652382241975498104429367 absolute error = 9.919104090408246e-17 relative error = 3.1149646993291253082774000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.791 Order of pole = 3.581 x[1] = -1.462 y[1] (analytic) = 0.31873078850172305864264031485502 y[1] (numeric) = 0.31873078850172295889619056486724 absolute error = 9.974644974998778e-17 relative error = 3.1294890028940066043432000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.79 Order of pole = 3.58 x[1] = -1.461 y[1] (analytic) = 0.3190280109783919137884225372872 y[1] (numeric) = 0.31902801097839181348404765683577 absolute error = 1.0030437488045143e-16 relative error = 3.1440616945464749681503000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.789 Order of pole = 3.58 x[1] = -1.46 y[1] (analytic) = 0.31932558436581938944948269255333 y[1] (numeric) = 0.31932558436581928858465756265459 absolute error = 1.0086482512989874e-16 relative error = 3.1586828637679089418400000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.788 Order of pole = 3.579 x[1] = -1.459 y[1] (analytic) = 0.31962350907618897548200024227462 y[1] (numeric) = 0.31962350907618887405419089332375 absolute error = 1.0142780934895087e-16 relative error = 3.1733525998168495690247000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.787 Order of pole = 3.579 x[1] = -1.458 y[1] (analytic) = 0.31992178552187561185041481058711 y[1] (numeric) = 0.31992178552187550985707840626599 absolute error = 1.0199333640432112e-16 relative error = 3.1880709917251640133568000000000e-14 % h = 0.001 memory used=106.8MB, alloc=4.5MB, time=19.72 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) = 0.32022041411544383981299997873157 absolute error = 1.0256141517870960e-16 relative error = 3.2028381282941809565040000000000e-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) = 0.32051939526964645372039368465253 absolute error = 1.0313205457069630e-16 relative error = 3.2176540980907993143680000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.785 Order of pole = 3.577 x[1] = -1.455 y[1] (analytic) = 0.32081872939742222150929171245017 y[1] (numeric) = 0.32081872939742211780402821781771 absolute error = 1.0370526349463246e-16 relative error = 3.2325189894435674363150000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.784 Order of pole = 3.577 x[1] = -1.454 y[1] (analytic) = 0.32111841691189409771504979262173 y[1] (numeric) = 0.32111841691189399343399891209142 absolute error = 1.0428105088053031e-16 relative error = 3.2474328904387352685596000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.783 Order of pole = 3.576 x[1] = -1.453 y[1] (analytic) = 0.32141845822636794892274996633142 y[1] (numeric) = 0.32141845822636784406332429238043 absolute error = 1.0485942567395099e-16 relative error = 3.2623958889162738564691000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.782 Order of pole = 3.576 x[1] = -1.452 y[1] (analytic) = 0.32171885375433033577153328631948 y[1] (numeric) = 0.32171885375433023033113645042855 absolute error = 1.0544039683589093e-16 relative error = 3.2774080724658712128272000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.781 Order of pole = 3.575 x[1] = -1.451 y[1] (analytic) = 0.32201960390944679930224792224901 y[1] (numeric) = 0.32201960390944669327827457958258 absolute error = 1.0602397334266643e-16 relative error = 3.2924695284228967438843000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.78 Order of pole = 3.575 x[1] = -1.45 y[1] (analytic) = 0.322320709105560032232070910556 y[1] (numeric) = 0.32232070910555992562190672475955 absolute error = 1.0661016418579645e-16 relative error = 3.3075803438643348612500000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.78 Order of pole = 3.574 x[1] = -1.449 y[1] (analytic) = 0.32262216975668803823459858220461 y[1] (numeric) = 0.32262216975668793103562021032086 absolute error = 1.0719897837188375e-16 relative error = 3.3227406056046924338375000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.779 Order of pole = 3.574 x[1] = -1.448 y[1] (analytic) = 0.32292398627702227917166122432108 y[1] (numeric) = 0.3229239862770221713812363018269 absolute error = 1.0779042492249418e-16 relative error = 3.3379504001918741718272000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.778 Order of pole = 3.573 x[1] = -1.447 y[1] (analytic) = 0.32322615908092581022293231417971 y[1] (numeric) = 0.32322615908092570183841944014543 absolute error = 1.0838451287403428e-16 relative error = 3.3532098139030312177252000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.777 Order of pole = 3.573 x[1] = -1.446 y[1] (analytic) = 0.32352868858293140285921713822051 y[1] (numeric) = 0.32352868858293129387796586059356 absolute error = 1.0898125127762695e-16 relative error = 3.3685189327403758178620000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.776 Order of pole = 3.572 x[1] = -1.445 y[1] (analytic) = 0.32383157519773965560511977720388 y[1] (numeric) = 0.32383157519773954602447057821837 absolute error = 1.0958064919898551e-16 relative error = 3.3838778424269722951775000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.775 Order of pole = 3.572 x[1] = -1.444 y[1] (analytic) = 0.3241348193402170925366013037999 y[1] (numeric) = 0.32413481934021698235388558551423 absolute error = 1.1018271571828567e-16 relative error = 3.3992866284024897880112000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.774 Order of pole = 3.571 x[1] = -1.443 y[1] (analytic) = 0.32443842142539424945875560345709 y[1] (numeric) = 0.32443842142539413867129567342115 absolute error = 1.1078745993003594e-16 relative error = 3.4147453758189334602906000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.774 Order of pole = 3.571 x[1] = -1.442 y[1] (analytic) = 0.32474238186846374770894249591799 y[1] (numeric) = 0.32474238186846363631405155297201 absolute error = 1.1139489094294598e-16 relative error = 3.4302541695363390475672000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.773 Order of pole = 3.571 x[1] = -1.441 y[1] (analytic) = 0.32504670108477835553023080591104 y[1] (numeric) = 0.32504670108477824352521292611786 absolute error = 1.1200501787979318e-16 relative error = 3.4458130941184400219958000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.772 Order of pole = 3.57 x[1] = -1.44 y[1] (analytic) = 0.32535137948984903695991671004685 y[1] (numeric) = 0.32535137948984892434206683275955 absolute error = 1.1261784987728730e-16 relative error = 3.4614222338283024528000000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.771 Order of pole = 3.57 x[1] = -1.439 y[1] (analytic) = 0.32565641749934298817769507552135 y[1] (numeric) = 0.3256564174993428749442989895881 absolute error = 1.1323339608593325e-16 relative error = 3.4770816726239303537325000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=110.6MB, alloc=4.5MB, time=20.43 Complex estimate of poles used Radius of convergence = 1.77 Order of pole = 3.569 x[1] = -1.438 y[1] (analytic) = 0.3259618155290816612578736076541 y[1] (numeric) = 0.32596181552908154740620793776216 absolute error = 1.1385166566989194e-16 relative error = 3.4927914941538396877736000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.769 Order of pole = 3.569 x[1] = -1.437 y[1] (analytic) = 0.32626757399503877526983144038325 y[1] (numeric) = 0.32626757399503866079716363354405 absolute error = 1.1447266780683920e-16 relative error = 3.5085517817526013598480000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.768 Order of pole = 3.568 x[1] = -1.436 y[1] (analytic) = 0.32657369331333831467073533945376 y[1] (numeric) = 0.32657369331333819957432365163107 absolute error = 1.1509641168782269e-16 relative error = 3.5243626184363510775824000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.768 Order of pole = 3.568 x[1] = -1.435 y[1] (analytic) = 0.32688017390025251493433794506779 y[1] (numeric) = 0.32688017390025239921143142795078 absolute error = 1.1572290651711701e-16 relative error = 3.5402240868982728491725000000000e-14 % 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) = 0.32718701617219971900733195007244 absolute error = 1.1635216151207660e-16 relative error = 3.5561362695040438886960000000000e-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) = 0.32749422054574280201765101209618 absolute error = 1.1698418590298686e-16 relative error = 3.5720992482872544415454000000000e-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) = 0.32780178743758642205289458993336 absolute error = 1.1761898893291311e-16 relative error = 3.5881131049447912328064000000000e-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) = 0.3281097172645754176860350653417 absolute error = 1.1825657985754759e-16 relative error = 3.6041779208321910044599000000001e-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) = 0.32841801044369261321246093602544 absolute error = 1.1889696794505440e-16 relative error = 3.6202937769589614256000000000000e-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) = 0.32872666739205672650497629769392 absolute error = 1.1954016247591235e-16 relative error = 3.6364607539838688110635000000000e-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) = 0.32903568852692026370634577537273 absolute error = 1.2018617274275582e-16 relative error = 3.6526789322101960405088000000000e-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) = 0.32934507426566740070168971870425 absolute error = 1.2083500805021341e-16 relative error = 3.6689483915809643297189000000000e-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) = 0.32965482502581185131284336272565 absolute error = 1.2148667771474455e-16 relative error = 3.6852692116741243855580000000000e-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) = 0.32996494122499472215660229498159 absolute error = 1.2214119106447397e-16 relative error = 3.7016414716977142533125000000000e-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) = 0.33027542328098235410858496516969 absolute error = 1.2279855743902402e-16 relative error = 3.7180652504849839117951999999999e-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) = 0.33058627161166415031425112822529 absolute error = 1.2345878618934481e-16 relative error = 3.7345406264894860676849000000000e-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) = 0.33089748663505039068842302926936 absolute error = 1.2412188667754223e-16 relative error = 3.7510676777801353260732000000000e-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) = 0.33120906876927003284446382265504 absolute error = 1.2478786827670371e-16 relative error = 3.7676464820362318608411000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.755 Order of pole = 3.562 x[1] = -1.42 y[1] (analytic) = 0.33152101843256862485081554170534 y[1] (numeric) = 0.33152101843256849939407517098359 absolute error = 1.2545674037072175e-16 relative error = 3.7842771165424508670000000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.754 Order of pole = 3.561 x[1] = -1.419 y[1] (analytic) = 0.33183333604330557768699555111046 y[1] (numeric) = 0.33183333604330545155848319699511 absolute error = 1.2612851235411535e-16 relative error = 3.8009596581838020826135000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=114.4MB, alloc=4.5MB, time=21.14 Complex estimate of poles used Radius of convergence = 1.753 Order of pole = 3.561 x[1] = -1.418 y[1] (analytic) = 0.33214602201995267583478259714275 y[1] (numeric) = 0.33214602201995254903158896529374 absolute error = 1.2680319363184901e-16 relative error = 3.8176941834405497878324000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.752 Order of pole = 3.561 x[1] = -1.417 y[1] (analytic) = 0.33245907678109132351626007475675 y[1] (numeric) = 0.33245907678109119603546645560715 absolute error = 1.2748079361914960e-16 relative error = 3.8344807683831027119440000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.751 Order of pole = 3.56 x[1] = -1.416 y[1] (analytic) = 0.33277250074541040166971929974017 y[1] (numeric) = 0.33277250074541027350839755841928 absolute error = 1.2816132174132089e-16 relative error = 3.8513194886668678841984000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.751 Order of pole = 3.56 x[1] = -1.415 y[1] (analytic) = 0.33308629433170398621022741466745 y[1] (numeric) = 0.33308629433170385736543998111164 absolute error = 1.2884478743355581e-16 relative error = 3.8682104195270709167725000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.75 Order of pole = 3.56 x[1] = -1.414 y[1] (analytic) = 0.33340045795886905230253024275554 y[1] (numeric) = 0.33340045795886892277133010200921 absolute error = 1.2953120014074633e-16 relative error = 3.8851536357735397921668000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.749 Order of pole = 3.559 x[1] = -1.413 y[1] (analytic) = 0.33371499204590316458589807209512 y[1] (numeric) = 0.33371499204590303436532875480405 absolute error = 1.3022056931729107e-16 relative error = 3.9021492117854558433883000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.748 Order of pole = 3.559 x[1] = -1.412 y[1] (analytic) = 0.33402989701190215329032809752604 y[1] (numeric) = 0.33402989701190202237742367062552 absolute error = 1.3091290442690052e-16 relative error = 3.9191972215060687034688000000000e-14 % 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) = 0.33434517327605764457510785348805 absolute error = 1.3160821494239991e-16 relative error = 3.9362977384373768121710999999999e-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) = 0.33466082125765523397975852097418 absolute error = 1.3230651034552962e-16 relative error = 3.9534508356347705752200000000000e-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) = 0.3349768413760713322914464098474 absolute error = 1.3300780012674329e-16 relative error = 3.9706565857016433551449000000000e-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) = 0.33529323405077130896081022993188 absolute error = 1.3371209378500342e-16 relative error = 3.9879150607839644002688000000000e-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) = 0.33560999970130696584643585318887 absolute error = 1.3441940082757454e-16 relative error = 4.0052263325648165053645999999999e-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) = 0.33592713874731412739598445265721 absolute error = 1.3512973076981390e-16 relative error = 4.0225904722588973082040000000000e-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) = 0.33624465160851021628911826205272 absolute error = 1.3584309313495975e-16 relative error = 4.0400075506069867049375000000000e-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) = 0.33656253870469181448007691563404 absolute error = 1.3655949745391701e-16 relative error = 4.0574776378703748278416000000000e-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) = 0.33688080045573220957756145378699 absolute error = 1.3727895326504050e-16 relative error = 4.0750008038252560556450000000000e-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] = -1.402 y[1] (analytic) = 0.33719943728157906450085716096957 y[1] (numeric) = 0.33719943728157892649938704705401 absolute error = 1.3800147011391556e-16 relative error = 4.0925771177570844039824000000000e-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) = 0.33751844960225124433916930448944 absolute error = 1.3872705755313616e-16 relative error = 4.1102066484548936798416000000001e-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) = 0.33783783783783769838211269575739 absolute error = 1.3945572514208045e-16 relative error = 4.1278894642055813200000000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.737 Order of pole = 3.555 memory used=118.2MB, alloc=4.5MB, time=21.86 x[1] = -1.399 y[1] (analytic) = 0.33815760240849370739425558154485 y[1] (numeric) = 0.33815760240849356720677313486123 absolute error = 1.4018748244668362e-16 relative error = 4.1456256327881524774762000000000e-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) = 0.33847774373443834480947015141025 absolute error = 1.4092233903920823e-16 relative error = 4.1634152214679295154492000000000e-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) = 0.33879826223595319768782731755043 absolute error = 1.4166030449801186e-16 relative error = 4.1812582969907228808274000000000e-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) = 0.3391191583333784068197227098278 absolute error = 1.4240138840731210e-16 relative error = 4.1991549255769643747360000000000e-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) = 0.33944043244711079447373417008331 absolute error = 1.4314560035694888e-16 relative error = 4.2171051729158032420200000000000e-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) = 0.33976208499760113578696699282137 absolute error = 1.4389294994214409e-16 relative error = 4.2351091041591640287524000000000e-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) = 0.34008411640535155504595441322851 absolute error = 1.4464344676325848e-16 relative error = 4.2531667839157663425752000000000e-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) = 0.34040652709091290660612390507876 absolute error = 1.4539710042554585e-16 relative error = 4.2712782762451072389439999999999e-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) = 0.34072931747488214038512482613767 absolute error = 1.4615392053890439e-16 relative error = 4.2894436446514025502759000000000e-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) = 0.34105248797789965186511537541373 absolute error = 1.4691391671762539e-16 relative error = 4.3076629520774940601900000000000e-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) = 0.34137603902064661653890915680752 absolute error = 1.4767709858013903e-16 relative error = 4.3259362608987144349863000000000e-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) = 0.34169997102384230873468388253469 absolute error = 1.4844347574875737e-16 relative error = 4.3442636329167138862928000000000e-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) = 0.34202428440824140475375690236644 absolute error = 1.4921305784941457e-16 relative error = 4.3626451293532498791432999999999e-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) = 0.3423489795946312702557343165162 absolute error = 1.4998585451140414e-16 relative error = 4.3810808108439344732344000000000e-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) = 0.342674057003829231825142426237 absolute error = 1.5076187536711341e-16 relative error = 4.3995707374319453089725000000000e-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] = -1.384 y[1] (analytic) = 0.34299951705667998419458225402819 y[1] (numeric) = 0.34299951705667983265345220227315 absolute error = 1.5154113005175504e-16 relative error = 4.4181149685616954189824000000000e-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) = 0.34332536017405207227020931268449 absolute error = 1.5232362820309560e-16 relative error = 4.4367135630724632006840000000000e-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) = 0.34365158677683663025678405374216 absolute error = 1.5310937946118125e-16 relative error = 4.4553665791919838772500000000000e-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) = 0.34397819728594307387605727615362 absolute error = 1.5389839346806041e-16 relative error = 4.4740740745299996959601000000000e-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) = 0.34430519212229704955116009944325 absolute error = 1.5469067986750345e-16 relative error = 4.4928361060717702018000000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=122.0MB, alloc=4.5MB, time=22.58 Complex estimate of poles used Radius of convergence = 1.721 Order of pole = 3.553 x[1] = -1.379 y[1] (analytic) = 0.34463257170683761361243517030535 y[1] (numeric) = 0.34463257170683745812618686558593 absolute error = 1.5548624830471942e-16 relative error = 4.5116527301715436256822000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.72 Order of pole = 3.552 x[1] = -1.378 y[1] (analytic) = 0.34496033646051377012671083078868 y[1] (numeric) = 0.344960336460513613841602404719 absolute error = 1.5628510842606968e-16 relative error = 4.5305240025459857823711999999999e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.719 Order of pole = 3.552 x[1] = -1.377 y[1] (analytic) = 0.34528848680428254404413615553727 y[1] (numeric) = 0.3452884868042823869568662767588 absolute error = 1.5708726987877847e-16 relative error = 4.5494499782675681154263000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.718 Order of pole = 3.552 x[1] = -1.376 y[1] (analytic) = 0.34561702315910548784534052954058 y[1] (numeric) = 0.34561702315910532995259821890005 absolute error = 1.5789274231064053e-16 relative error = 4.5684307117579185412928000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.717 Order of pole = 3.552 x[1] = -1.375 y[1] (analytic) = 0.34594594594594594594594594594595 y[1] (numeric) = 0.34594594594594578724441057622048 absolute error = 1.5870153536972547e-16 relative error = 4.5874662567811268671874999999999e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.716 Order of pole = 3.552 x[1] = -1.374 y[1] (analytic) = 0.34627525558576614785399373103277 y[1] (numeric) = 0.34627525558576598834033502695368 absolute error = 1.5951365870407909e-16 relative error = 4.6065566664370110611284000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.716 Order of pole = 3.552 x[1] = -1.373 y[1] (analytic) = 0.34660495249952428470269440291925 y[1] (numeric) = 0.34660495249952412437357244149764 absolute error = 1.6032912196142161e-16 relative error = 4.6257019931543436823768999999999e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.715 Order of pole = 3.552 x[1] = -1.372 y[1] (analytic) = 0.34693503710817156909003102986972 y[1] (numeric) = 0.34693503710817140794209624102712 absolute error = 1.6114793478884260e-16 relative error = 4.6449022886840328875840000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.714 Order of pole = 3.552 x[1] = -1.371 y[1] (analytic) = 0.34726550983264927815654798636358 y[1] (numeric) = 0.34726550983264911618644115387068 absolute error = 1.6197010683249290e-16 relative error = 4.6641576040922668704890000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.713 Order of pole = 3.552 x[1] = -1.37 y[1] (analytic) = 0.34759637109388577983245854913275 y[1] (numeric) = 0.34759637109388561703681081185957 absolute error = 1.6279564773727318e-16 relative error = 4.6834679897536121154200000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.712 Order of pole = 3.553 x[1] = -1.369 y[1] (analytic) = 0.34792762131279354218500633750162 y[1] (numeric) = 0.34792762131279337856043919098226 absolute error = 1.6362456714651936e-16 relative error = 4.7028334953440723025696000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.712 Order of pole = 3.553 x[1] = -1.368 y[1] (analytic) = 0.34825926091026612579681718896269 y[1] (numeric) = 0.34825926091026596133994248727793 absolute error = 1.6445687470168476e-16 relative error = 4.7222541698341046029824000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.711 Order of pole = 3.553 x[1] = -1.367 y[1] (analytic) = 0.34859129030717515910577967845242 y[1] (numeric) = 0.34859129030717499381319963643349 absolute error = 1.6529258004201893e-16 relative error = 4.7417300614815924228277000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.71 Order of pole = 3.553 x[1] = -1.366 y[1] (analytic) = 0.34892370992436729663679414478101 y[1] (numeric) = 0.34892370992436713050510134053773 absolute error = 1.6613169280424328e-16 relative error = 4.7612612178247785377568000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.709 Order of pole = 3.553 x[1] = -1.365 y[1] (analytic) = 0.34925652018266116005553178670904 y[1] (numeric) = 0.3492565201826609930813091644858 absolute error = 1.6697422262222324e-16 relative error = 4.7808476856751513634900000000000e-14 % 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) = 0.34958972150284409415396801427816 absolute error = 1.6782017912663726e-16 relative error = 4.8004895111102937568096000000000e-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) = 0.34992331430566974376911711664994 absolute error = 1.6866957194464228e-16 relative error = 4.8201867394666842387332000000000e-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) = 0.3502572990118539385053464908962 absolute error = 1.6952241069953589e-16 relative error = 4.8399394153324574552916000000000e-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) = 0.35059167604207223311304784629352 absolute error = 1.7037870501041510e-16 relative error = 4.8597475825401220844710000000001e-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) = 0.35092644581695659462341085909486 absolute error = 1.7123846449183159e-16 relative error = 4.8796112841592329886399999999999e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=125.8MB, alloc=4.5MB, time=23.29 Complex estimate of poles used Radius of convergence = 1.704 Order of pole = 3.553 x[1] = -1.359 y[1] (analytic) = 0.35126160875709241095781664214275 y[1] (numeric) = 0.3512616087570922388561178886992 absolute error = 1.7210169875344355e-16 relative error = 4.8995305624890212706755000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.703 Order of pole = 3.554 x[1] = -1.358 y[1] (analytic) = 0.35159716528301462222290979001211 y[1] (numeric) = 0.35159716528301444925449239034802 absolute error = 1.7296841739966409e-16 relative error = 4.9195054590509821687076000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.703 Order of pole = 3.554 x[1] = -1.357 y[1] (analytic) = 0.35193311581520555181528860803062 y[1] (numeric) = 0.35193311581520537797665857872463 absolute error = 1.7383863002930599e-16 relative error = 4.9395360145814147597951000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.702 Order of pole = 3.554 x[1] = -1.356 y[1] (analytic) = 0.35226946077409100388341853557358 y[1] (numeric) = 0.35226946077409082917107230035048 absolute error = 1.7471234623522310e-16 relative error = 4.9596222690239228200160000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.701 Order of pole = 3.554 x[1] = -1.355 y[1] (analytic) = 0.3526062005800371999541611939246 y[1] (numeric) = 0.35260620058003702436458558997655 absolute error = 1.7558957560394805e-16 relative error = 4.9797642615218676850124999999999e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.7 Order of pole = 3.554 x[1] = -1.354 y[1] (analytic) = 0.35294333565334752636133773994853 y[1] (numeric) = 0.35294333565334734989101002462212 absolute error = 1.7647032771532641e-16 relative error = 4.9999620304107776267556000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.699 Order of pole = 3.554 x[1] = -1.353 y[1] (analytic) = 0.35328086641425926364255889810285 y[1] (numeric) = 0.35328086641425908628794675595553 absolute error = 1.7735461214214732e-16 relative error = 5.0202156132107148331787999999999e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.699 Order of pole = 3.555 x[1] = -1.352 y[1] (analytic) = 0.35361879328294029783189245462364 y[1] (numeric) = 0.35361879328294011958945400485325 absolute error = 1.7824243844977039e-16 relative error = 5.0405250466185948496255999999999e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.698 Order of pole = 3.555 x[1] = -1.351 y[1] (analytic) = 0.35395711667948581357574204454833 y[1] (numeric) = 0.35395711667948563444192584879933 absolute error = 1.7913381619574900e-16 relative error = 5.0608903665004627054900000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.697 Order of pole = 3.555 x[1] = -1.35 y[1] (analytic) = 0.35429583702391496899911426040744 y[1] (numeric) = 0.3542958370239147889703593309575 absolute error = 1.8002875492944994e-16 relative error = 5.0813116078837245565000000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.696 Order of pole = 3.555 x[1] = -1.349 y[1] (analytic) = 0.35463495473616755224925446866641 y[1] (numeric) = 0.35463495473616737132199027699714 absolute error = 1.8092726419166927e-16 relative error = 5.1017888049493319921526999999999e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.695 Order of pole = 3.556 x[1] = -1.348 y[1] (analytic) = 0.35497447023610061964343524413724 y[1] (numeric) = 0.3549744702361004378140817298927 absolute error = 1.8182935351424454e-16 relative error = 5.1223219910239235061216000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.695 Order of pole = 3.556 x[1] = -1.347 y[1] (analytic) = 0.35531438394348511534748503149329 y[1] (numeric) = 0.35531438394348493261245261183004 absolute error = 1.8273503241966325e-16 relative error = 5.1429111985719202776925000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.694 Order of pole = 3.556 x[1] = -1.346 y[1] (analytic) = 0.35565469627800247251144852467319 y[1] (numeric) = 0.35565469627800228886713810400574 absolute error = 1.8364431042066745e-16 relative error = 5.1635564591875739984420000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.693 Order of pole = 3.556 x[1] = -1.345 y[1] (analytic) = 0.35599540765924119578857432739118 y[1] (numeric) = 0.35599540765924101123137730753653 absolute error = 1.8455719701985465e-16 relative error = 5.1842578035869720821625000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.692 Order of pole = 3.557 x[1] = -1.344 y[1] (analytic) = 0.35633651850669342516362972929827 y[1] (numeric) = 0.35633651850669323968992802002345 absolute error = 1.8547370170927482e-16 relative error = 5.2050152615999946125952000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.691 Order of pole = 3.557 x[1] = -1.343 y[1] (analytic) = 0.35667802923975148101634691075809 y[1] (numeric) = 0.35667802923975129462251294073449 absolute error = 1.8639383397002360e-16 relative error = 5.2258288621622269611640000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.691 Order of pole = 3.557 x[1] = -1.342 y[1] (analytic) = 0.35701994027770439034560958298643 y[1] (numeric) = 0.35701994027770420302800631115487 absolute error = 1.8731760327183156e-16 relative error = 5.2466986333068241362384000000000e-14 % 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) = 0.35736225203973420583477491515931 absolute error = 1.8824501907264963e-16 relative error = 5.2676246021563307928603000000001e-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) = 0.35770496494491324622239251271803 absolute error = 1.8917609081823060e-16 relative error = 5.2886067949144546536000000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=129.7MB, alloc=4.5MB, time=24.00 Complex estimate of poles used Radius of convergence = 1.688 Order of pole = 3.558 x[1] = -1.339 y[1] (analytic) = 0.35804807941219962899058011307874 y[1] (numeric) = 0.35804807941219943887975217137216 absolute error = 1.9011082794170658e-16 relative error = 5.3096452368577908312018000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.687 Order of pole = 3.558 x[1] = -1.338 y[1] (analytic) = 0.35839159586043371117364646245991 y[1] (numeric) = 0.35839159586043352012440659929733 absolute error = 1.9104923986316258e-16 relative error = 5.3307399523275020986952000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.687 Order of pole = 3.559 x[1] = -1.337 y[1] (analytic) = 0.35873551470833547079910847049885 y[1] (numeric) = 0.35873551470833527880777248129279 absolute error = 1.9199133598920606e-16 relative error = 5.3518909647209514746814000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.686 Order of pole = 3.559 x[1] = -1.336 y[1] (analytic) = 0.35907983637450016086776669577607 y[1] (numeric) = 0.35907983637449996793064098324368 absolute error = 1.9293712571253239e-16 relative error = 5.3730982964832860278144000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.685 Order of pole = 3.559 x[1] = -1.335 y[1] (analytic) = 0.35942456127739489077986144183163 y[1] (numeric) = 0.35942456127739469689324303034526 absolute error = 1.9388661841148637e-16 relative error = 5.3943619690989766577325000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.684 Order of pole = 3.56 x[1] = -1.334 y[1] (analytic) = 0.35976968983535499914374813819186 y[1] (numeric) = 0.35976968983535480430392468857234 absolute error = 1.9483982344961952e-16 relative error = 5.4156820030833063453311999999999e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.684 Order of pole = 3.56 x[1] = -1.333 y[1] (analytic) = 0.36011522246658040706704517177316 y[1] (numeric) = 0.36011522246658021127029499652978 absolute error = 1.9579675017524338e-16 relative error = 5.4370584179738141424482000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.683 Order of pole = 3.561 x[1] = -1.332 y[1] (analytic) = 0.36046115958913195185392383599882 y[1] (numeric) = 0.36046115958913175509651591502016 absolute error = 1.9675740792097866e-16 relative error = 5.4584912323216910205984000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.682 Order of pole = 3.561 x[1] = -1.331 y[1] (analytic) = 0.36080750162092770103201769688634 y[1] (numeric) = 0.36080750162092750331021169358619 absolute error = 1.9772180600330015e-16 relative error = 5.4799804636831256703415000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.681 Order of pole = 3.561 x[1] = -1.33 y[1] (analytic) = 0.36115424897973924663223662826393 y[1] (numeric) = 0.36115424897973904794228290618641 absolute error = 1.9868995372207752e-16 relative error = 5.5015261286106044512800000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.68 Order of pole = 3.562 x[1] = -1.329 y[1] (analytic) = 0.36150140208318797964457905149985 y[1] (numeric) = 0.36150140208318777998271869138796 absolute error = 1.9966186036011189e-16 relative error = 5.5231282426441627470549000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.68 Order of pole = 3.562 x[1] = -1.328 y[1] (analytic) = 0.36184896134874134457284453810704 y[1] (numeric) = 0.36184896134874114393530935543891 absolute error = 2.0063753518266813e-16 relative error = 5.5447868203025872137792000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.679 Order of pole = 3.563 x[1] = -1.327 y[1] (analytic) = 0.36219692719370907401095790583532 y[1] (numeric) = 0.36219692719370887239397046883241 absolute error = 2.0161698743700291e-16 relative error = 5.5665018750745700730339000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.678 Order of pole = 3.563 x[1] = -1.326 y[1] (analytic) = 0.36254530003523940316342526998748 y[1] (numeric) = 0.362545300035239200563198918099 absolute error = 2.0260022635188848e-16 relative error = 5.5882734194098154906048000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.677 Order of pole = 3.564 x[1] = -1.325 y[1] (analytic) = 0.3628940802903152642322522113858 y[1] (numeric) = 0.3628940802903150606449910742537 absolute error = 2.0358726113713210e-16 relative error = 5.6101014647100964306250000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.676 Order of pole = 3.564 x[1] = -1.324 y[1] (analytic) = 0.36324326837575046059246430045158 y[1] (numeric) = 0.36324326837575025601436331736049 absolute error = 2.0457810098309109e-16 relative error = 5.6319860213202617658384000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.676 Order of pole = 3.564 x[1] = -1.323 y[1] (analytic) = 0.363592864708185820678180683111 y[1] (numeric) = 0.3635928647081856151054256229274 absolute error = 2.0557275506018360e-16 relative error = 5.6539270985191970040440000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.675 Order of pole = 3.565 x[1] = -1.322 y[1] (analytic) = 0.36394286970408533150100229866316 y[1] (numeric) = 0.36394286970408512492976978026831 absolute error = 2.0657123251839485e-16 relative error = 5.6759247045107323502740000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.674 Order of pole = 3.565 x[1] = -1.321 y[1] (analytic) = 0.36429328377973225172228757238963 y[1] (numeric) = 0.36429328377973204414874508561055 absolute error = 2.0757354248677908e-16 relative error = 5.6979788464145053254228000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.673 Order of pole = 3.566 memory used=133.5MB, alloc=4.5MB, time=24.71 x[1] = -1.32 y[1] (analytic) = 0.36464410735122520420070011668611 y[1] (numeric) = 0.36464410735122499562100604372922 absolute error = 2.0857969407295689e-16 relative error = 5.7200895302567697513600000000001e-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) = 0.36499534083447403834652873147842 absolute error = 2.0958969636260825e-16 relative error = 5.7422567609611594162825000000001e-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) = 0.36534698464519671872810503508798 absolute error = 2.1060355841896087e-16 relative error = 5.7644805423393985233788000000000e-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) = 0.3656990391989141010711369809144 absolute error = 2.1162128928227408e-16 relative error = 5.7867608770819636674512000000000e-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) = 0.36605150491094677724236684698253 absolute error = 2.1264289796931818e-16 relative error = 5.8090977667486968594208000000000e-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) = 0.36640438219641085540799268072927 absolute error = 2.1366839347284913e-16 relative error = 5.8314912117593666682424999999999e-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) = 0.36675767147021392777143326755488 absolute error = 2.1469778476107862e-16 relative error = 5.8539412113841792097752000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.668 Order of pole = 3.569 x[1] = -1.313 y[1] (analytic) = 0.36711137314705123296190228302892 y[1] (numeric) = 0.36711137314705101723082150588934 absolute error = 2.1573108077713958e-16 relative error = 5.8764477637342412459302000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.667 Order of pole = 3.57 x[1] = -1.312 y[1] (analytic) = 0.36746548764140071964441099691917 y[1] (numeric) = 0.36746548764140050287612055837232 absolute error = 2.1676829043854685e-16 relative error = 5.8990108657519683896640000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.666 Order of pole = 3.57 x[1] = -1.311 y[1] (analytic) = 0.36782001536752024205499571305772 y[1] (numeric) = 0.36782001536752002424557307640444 absolute error = 2.1780942263665328e-16 relative error = 5.9216305132014464205488000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.666 Order of pole = 3.571 x[1] = -1.31 y[1] (analytic) = 0.36817495673944258311549648392916 y[1] (numeric) = 0.3681749567394423642610102478281 absolute error = 2.1885448623610106e-16 relative error = 5.9443067006587408906600000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.665 Order of pole = 3.571 x[1] = -1.309 y[1] (analytic) = 0.36853031217097153066485448027828 y[1] (numeric) = 0.36853031217097131076136440601006 absolute error = 2.1990349007426822e-16 relative error = 5.9670394215021540387382000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.664 Order of pole = 3.572 x[1] = -1.308 y[1] (analytic) = 0.36888608207567771750998943510261 y[1] (numeric) = 0.36888608207567749655354647439219 absolute error = 2.2095644296071042e-16 relative error = 5.9898286679024329200288000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.663 Order of pole = 3.573 x[1] = -1.307 y[1] (analytic) = 0.36924226686689443991302129161683 y[1] (numeric) = 0.36924226686689421789966761501897 absolute error = 2.2201335367659786e-16 relative error = 6.0126744308129247774714000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.662 Order of pole = 3.573 x[1] = -1.306 y[1] (analytic) = 0.36959886695771345443363408825134 y[1] (numeric) = 0.36959886695771323135940311410393 absolute error = 2.2307423097414741e-16 relative error = 6.0355766999596830180276000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.662 Order of pole = 3.574 x[1] = -1.305 y[1] (analytic) = 0.36995588276098075304519935997632 y[1] (numeric) = 0.36995588276098052890611578392659 absolute error = 2.2413908357604973e-16 relative error = 6.0585354638315182143325000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.661 Order of pole = 3.574 x[1] = -1.304 y[1] (analytic) = 0.37031331468929231644309617481158 y[1] (numeric) = 0.37031331468929209123517599991993 absolute error = 2.2520792017489165e-16 relative error = 6.0815507096700020992640000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.66 Order of pole = 3.575 x[1] = -1.303 y[1] (analytic) = 0.37067116315498984546348536905318 y[1] (numeric) = 0.37067116315498961918273593647971 absolute error = 2.2628074943257347e-16 relative error = 6.1046224234594160052723000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.659 Order of pole = 3.575 x[1] = -1.302 y[1] (analytic) = 0.37102942857015647053061660638675 y[1] (numeric) = 0.37102942857015624317303662666538 absolute error = 2.2735757997972137e-16 relative error = 6.1277505899166495530948000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.659 Order of pole = 3.576 x[1] = -1.301 y[1] (analytic) = 0.37138811134661243905056857662907 y[1] (numeric) = 0.37138811134661221061214816153425 absolute error = 2.2843842041509482e-16 relative error = 6.1509351924810472742681999999999e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=137.3MB, alloc=4.5MB, time=25.42 Complex estimate of poles used Radius of convergence = 1.658 Order of pole = 3.577 x[1] = -1.3 y[1] (analytic) = 0.37174721189591078066914498141264 y[1] (numeric) = 0.37174721189591055114586567642374 absolute error = 2.2952327930498890e-16 relative error = 6.1741762133042014100000000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.657 Order of pole = 3.577 x[1] = -1.299 y[1] (analytic) = 0.37210673062933295031147193887328 y[1] (numeric) = 0.37210673062933271969930675624158 absolute error = 2.3061216518263170e-16 relative error = 6.1974736332396961321170000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.656 Order of pole = 3.578 x[1] = -1.298 y[1] (analytic) = 0.37246666795788444892066608959164 y[1] (numeric) = 0.37246666795788421721557954201514 absolute error = 2.3170508654757650e-16 relative error = 6.2208274318327957750600000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.655 Order of pole = 3.578 x[1] = -1.297 y[1] (analytic) = 0.37282702429229042181276701405446 y[1] (numeric) = 0.37282702429229018901071514896556 absolute error = 2.3280205186508890e-16 relative error = 6.2442375873100823338010000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.655 Order of pole = 3.579 x[1] = -1.296 y[1] (analytic) = 0.37318780004299123456495259022188 y[1] (numeric) = 0.37318780004299100066188302469306 absolute error = 2.3390306956552882e-16 relative error = 6.2677040765690407453312000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.654 Order of pole = 3.58 x[1] = -1.295 y[1] (analytic) = 0.37354899562013802635388164100074 y[1] (numeric) = 0.37354899562013779134573359727344 absolute error = 2.3500814804372730e-16 relative error = 6.2912268751675907528250000000000e-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) = 0.37391061143358800454353899986517 absolute error = 2.3611729565835810e-16 relative error = 6.3148059573135660353159999999999e-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) = 0.37427264789290089602962982361123 absolute error = 2.3723052073130411e-16 relative error = 6.3384412958541415499939000000000e-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) = 0.37463510540733301905945375709532 absolute error = 2.3834783154701847e-16 relative error = 6.3621328622652070930608000000001e-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) = 0.37499798438583368667341063139208 absolute error = 2.3946923635188038e-16 relative error = 6.3858806266406872361878000000001e-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) = 0.37536128523704041103244781795692 absolute error = 2.4059474335354565e-16 relative error = 6.4096845576818096616500000000000e-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) = 0.37572500836927431970123013546321 absolute error = 2.4172436072029183e-16 relative error = 6.4335446226863183167342999999999e-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) = 0.37608915419053554879452942455222 absolute error = 2.4285809658035800e-16 relative error = 6.4574607875376342195200000000000e-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) = 0.37645372310849861290231075976403 absolute error = 2.4399595902127919e-16 relative error = 6.4814330166939638066111000000000e-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) = 0.37681871553050775170882489922542 absolute error = 2.4513795608921529e-16 relative error = 6.5054612731773517974084000000000e-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) = 0.37718413186357225322085003865456 absolute error = 2.4628409578827450e-16 relative error = 6.5295455185626806126250000000000e-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) = 0.37754997251436175352006025068496 absolute error = 2.4743438607983135e-16 relative error = 6.5536857129666178416560000000000e-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) = 0.37791623788920151295433316730816 absolute error = 2.4858883488183909e-16 relative error = 6.5778818150365071581901000000000e-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) = 0.37828292839406766868264551639372 absolute error = 2.4974745006813663e-16 relative error = 6.6021337819392081668411999999999e-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) = 0.37865004443458246348804206688856 absolute error = 2.5091023946774978e-16 relative error = 6.6264415693498792673858000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=141.1MB, alloc=4.6MB, time=26.14 Complex estimate of poles used Radius of convergence = 1.642 Order of pole = 3.589 x[1] = -1.28 y[1] (analytic) = 0.37901758641600970285021224984839 y[1] (numeric) = 0.37901758641600945077300138566143 absolute error = 2.5207721086418696e-16 relative error = 6.6508051314407087526400000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.642 Order of pole = 3.589 x[1] = -1.279 y[1] (analytic) = 0.37938555474324892889973257112246 y[1] (numeric) = 0.37938555474324867565136057639324 absolute error = 2.5324837199472922e-16 relative error = 6.6752244208695906197402000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.641 Order of pole = 3.59 x[1] = -1.278 y[1] (analytic) = 0.37975394982083208647453142160132 y[1] (numeric) = 0.37975394982083183205080087188676 absolute error = 2.5442373054971456e-16 relative error = 6.6996993887687455541503999999999e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.64 Order of pole = 3.591 x[1] = -1.277 y[1] (analytic) = 0.38012277205291765134303077207877 y[1] (numeric) = 0.38012277205291739573973660026222 absolute error = 2.5560329417181655e-16 relative error = 6.7242299847332878076494999999999e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.639 Order of pole = 3.591 x[1] = -1.276 y[1] (analytic) = 0.38049202184328598997936211273522 y[1] (numeric) = 0.38049202184328573319229165741797 absolute error = 2.5678707045531725e-16 relative error = 6.7488161568097386883600000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.639 Order of pole = 3.592 x[1] = -1.275 y[1] (analytic) = 0.3808616995953344441799571530588 y[1] (numeric) = 0.38086169959533418620489020768446 absolute error = 2.5797506694537434e-16 relative error = 6.7734578514844850146249999999999e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.638 Order of pole = 3.593 x[1] = -1.274 y[1] (analytic) = 0.38123180571207239134512305400225 y[1] (numeric) = 0.3812318057120721321778319167199 absolute error = 2.5916729113728235e-16 relative error = 6.7981550136721803750860000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.637 Order of pole = 3.593 x[1] = -1.273 y[1] (analytic) = 0.38160234059611628033881708616848 y[1] (numeric) = 0.38160234059611601997506661044025 absolute error = 2.6036375047572823e-16 relative error = 6.8229075867040962283367000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.636 Order of pole = 3.594 x[1] = -1.272 y[1] (analytic) = 0.38197330464968464283968122035887 y[1] (numeric) = 0.38197330464968438127522886631798 absolute error = 2.6156445235404089e-16 relative error = 6.8477155123164138536576000000000e-14 % 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) = 0.38234469827459281732683969401472 absolute error = 2.6276940411343496e-16 relative error = 6.8725787306384644521736000000000e-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) = 0.38271652187224896102043016644677 absolute error = 2.6397861304224855e-16 relative error = 6.8974971801809123629500000000000e-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) = 0.38308877584364741419019063555253 absolute error = 2.6519208637517510e-16 relative error = 6.9224707978238844921110000000001e-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) = 0.38346146058936466005759902489416 absolute error = 2.6640983129248922e-16 relative error = 6.9474995188050440765728000000000e-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) = 0.38383457650955395072933264955986 absolute error = 2.6763185491926648e-16 relative error = 6.9725832767076084841272000000000e-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) = 0.38420812400394016966162008854023 absolute error = 2.6885816432459723e-16 relative error = 6.9977220034483138796588000000000e-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) = 0.38458210347181466900304284185705 absolute error = 2.7008876652079426e-16 relative error = 7.0229156292653225470850000000000e-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) = 0.38495651531203008172765086037488 absolute error = 2.7132366846259440e-16 relative error = 7.0481640827060762250240000000000e-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) = 0.38533135992299510847011155670045 absolute error = 2.7256287704635392e-16 relative error = 7.0734672906150925621248000000000e-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) = 0.38570663770266927897446860727088 absolute error = 2.7380639910923783e-16 relative error = 7.0988251781217080452251999999999e-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) = 0.38608234904855768806794475517694 absolute error = 2.7505424142840290e-16 relative error = 7.1242376686277634775090000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=144.9MB, alloc=4.6MB, time=26.85 Complex estimate of poles used Radius of convergence = 1.627 Order of pole = 3.601 x[1] = -1.26 y[1] (analytic) = 0.38645849435770598237749265728861 y[1] (numeric) = 0.38645849435770570607108193711411 absolute error = 2.7630641072017450e-16 relative error = 7.1497046837952353619999999999999e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.626 Order of pole = 3.602 x[1] = -1.259 y[1] (analytic) = 0.38683507402669394111828604210081 y[1] (numeric) = 0.38683507402669366355537240288368 absolute error = 2.7756291363921713e-16 relative error = 7.1752261435338105763753000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.626 Order of pole = 3.602 x[1] = -1.258 y[1] (analytic) = 0.38721208845163178918315286668598 y[1] (numeric) = 0.38721208845163151035939608898728 absolute error = 2.7882375677769870e-16 relative error = 7.2008019659884066546679999999999e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.625 Order of pole = 3.603 x[1] = -1.257 y[1] (analytic) = 0.38758953802815372886328903055717 y[1] (numeric) = 0.38758953802815344877434236610877 absolute error = 2.8008894666444840e-16 relative error = 7.2264320675266342997160000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.624 Order of pole = 3.603 x[1] = -1.256 y[1] (analytic) = 0.38796742315141282216814818493321 y[1] (numeric) = 0.3879674231514125408096584208249 absolute error = 2.8135848976410831e-16 relative error = 7.2521163627262067692416000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.623 Order of pole = 3.604 x[1] = -1.255 y[1] (analytic) = 0.38834574421607557208182444830633 y[1] (numeric) = 0.38834574421607528944943197202781 absolute error = 2.8263239247627852e-16 relative error = 7.2778547643622909596299999999999e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.623 Order of pole = 3.604 x[1] = -1.254 y[1] (analytic) = 0.38872450161631647772064391436244 y[1] (numeric) = 0.38872450161631619380998277970653 absolute error = 2.8391066113465591e-16 relative error = 7.3036471833948048296956000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.622 Order of pole = 3.605 x[1] = -1.253 y[1] (analytic) = 0.38910369574581256330230750164688 y[1] (numeric) = 0.38910369574581227810900549548049 absolute error = 2.8519330200616639e-16 relative error = 7.3294935289556567779751000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.621 Order of pole = 3.606 x[1] = -1.252 y[1] (analytic) = 0.3894833269977378808367971383881 y[1] (numeric) = 0.38948332699773759435647584829734 absolute error = 2.8648032129009076e-16 relative error = 7.3553937083359318666304000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.62 Order of pole = 3.606 x[1] = -1.251 y[1] (analytic) = 0.38986339576475798644912809000854 y[1] (numeric) = 0.38986339576475769867740297282462 absolute error = 2.8777172511718392e-16 relative error = 7.3813476269730187198392000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.62 Order of pole = 3.607 x[1] = -1.25 y[1] (analytic) = 0.39024390243902439024390243902439 y[1] (numeric) = 0.39024390243902410117638289023673 absolute error = 2.8906751954878766e-16 relative error = 7.4073551884376837875000000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.619 Order of pole = 3.607 x[1] = -1.249 y[1] (analytic) = 0.39062484741216897962149233535456 y[1] (numeric) = 0.39062484741216868925378175941779 absolute error = 2.9036771057593677e-16 relative error = 7.4334162944210870713676999999999e-14 % 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) = 0.39100623107529812428325254929246 absolute error = 2.9167230411845860e-16 relative error = 7.4595308447217434333439999999999e-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) = 0.39138805381898821156016525842268 absolute error = 2.9298130602406595e-16 relative error = 7.4856987372324271884355000000001e-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) = 0.39177031603327824343040874466519 absolute error = 2.9429472206744333e-16 relative error = 7.5119198679270217891828000000001e-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) = 0.39215301810766531550890164420699 absolute error = 2.9561255794932641e-16 relative error = 7.5381941308473107866024999999999e-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) = 0.39253616043109861589703077445362 absolute error = 2.9693481929557483e-16 relative error = 7.5645214180897152011888000000000e-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) = 0.3929197433919736873081178479481 absolute error = 2.9826151165623826e-16 relative error = 7.5909016197919752737474000000001e-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) = 0.39330376737812666200989929379267 absolute error = 2.9959264050461555e-16 relative error = 7.6173346241197733127020000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.613 Order of pole = 3.611 x[1] = -1.241 y[1] (analytic) = 0.39368823277682877042110074442508 y[1] (numeric) = 0.39368823277682846949288950811793 absolute error = 3.0092821123630715e-16 relative error = 7.6438203172533030187915000000000e-14 % h = 0.001 memory used=148.7MB, alloc=4.6MB, time=27.56 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.612 Order of pole = 3.612 x[1] = -1.24 y[1] (analytic) = 0.39407313997477931904161412358134 y[1] (numeric) = 0.39407313997477901677338495532072 absolute error = 3.0226822916826062e-16 relative error = 7.6703585833737814931199999999999e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.611 Order of pole = 3.612 x[1] = -1.239 y[1] (analytic) = 0.39445848935810164485245477434805 y[1] (numeric) = 0.39445848935810134123975523653879 absolute error = 3.0361269953780926e-16 relative error = 7.6969493046499054902046000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.611 Order of pole = 3.613 x[1] = -1.238 y[1] (analytic) = 0.39484428131233604091218505245901 y[1] (numeric) = 0.39484428131233573595055755075516 absolute error = 3.0496162750170385e-16 relative error = 7.7235923612242524547940000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.61 Order of pole = 3.613 x[1] = -1.237 y[1] (analytic) = 0.39523051622243415360792105191392 y[1] (numeric) = 0.39523051622243384729290291677654 absolute error = 3.0631501813513738e-16 relative error = 7.7502876311996240961722000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.609 Order of pole = 3.613 x[1] = -1.236 y[1] (analytic) = 0.39561719447275305258227255176255 y[1] (numeric) = 0.39561719447275274490939612099974 absolute error = 3.0767287643076281e-16 relative error = 7.7770349906253343178576000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.608 Order of pole = 3.614 x[1] = -1.235 y[1] (analytic) = 0.39600431644704927283707392410577 y[1] (numeric) = 0.39600431644704896380186662640192 absolute error = 3.0903520729770385e-16 relative error = 7.8038343134834420461625000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.607 Order of pole = 3.614 x[1] = -1.234 y[1] (analytic) = 0.39639188252847282892202020330147 y[1] (numeric) = 0.39639188252847251852000464274281 absolute error = 3.1040201556055866e-16 relative error = 7.8306854716749272286696000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.607 Order of pole = 3.615 x[1] = -1.233 y[1] (analytic) = 0.39677989309956120111622119526769 y[1] (numeric) = 0.39677989309956088934291523687123 absolute error = 3.1177330595839646e-16 relative error = 7.8575883350058105577693999999999e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.606 Order of pole = 3.615 x[1] = -1.232 y[1] (analytic) = 0.39716834854223329351058691949874 y[1] (numeric) = 0.39716834854223298036150377575169 absolute error = 3.1314908314374705e-16 relative error = 7.8845427711732177241920000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.605 Order of pole = 3.615 x[1] = -1.231 y[1] (analytic) = 0.39755724923778336389885984556491 y[1] (numeric) = 0.39755724923778304936950816398166 absolute error = 3.1452935168158325e-16 relative error = 7.9115486457513892530325000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.604 Order of pole = 3.616 x[1] = -1.23 y[1] (analytic) = 0.39794659556687492538501333121095 y[1] (numeric) = 0.39794659556687460947089728291491 absolute error = 3.1591411604829604e-16 relative error = 7.9386058221776311891600000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.604 Order of pole = 3.616 x[1] = -1.229 y[1] (analytic) = 0.39833638790953461961464141160856 y[1] (numeric) = 0.39833638790953430231126078094596 absolute error = 3.1730338063066260e-16 relative error = 7.9657141617382124820660000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.603 Order of pole = 3.616 x[1] = -1.228 y[1] (analytic) = 0.39872662664514606153787264990526 y[1] (numeric) = 0.3987266266451457428407229250982 absolute error = 3.1869714972480706e-16 relative error = 7.9928735235542050956704000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.602 Order of pole = 3.617 x[1] = -1.227 y[1] (analytic) = 0.39911731215244365561125015914803 y[1] (numeric) = 0.39911731215244333551582262399395 absolute error = 3.2009542753515408e-16 relative error = 8.0200837645672706690832000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.601 Order of pole = 3.617 x[1] = -1.226 y[1] (analytic) = 0.39950844480950638334593116629299 y[1] (numeric) = 0.39950844480950606184771299291799 absolute error = 3.2149821817337500e-16 relative error = 8.0473447395253880150000000000001e-14 % 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) = 0.39990002499375123920394697451524 absolute error = 3.2290552565732680e-16 relative error = 8.0746563009685282925000000000000e-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) = 0.4002920530819282507710305753369 absolute error = 3.2431735390998359e-16 relative error = 8.1020182992142716493184000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.599 Order of pole = 3.618 x[1] = -1.223 y[1] (analytic) = 0.40068452945011257231854900912719 y[1] (numeric) = 0.40068452945011224658484225076637 absolute error = 3.2573370675836082e-16 relative error = 8.1294305823433709093778000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.598 Order of pole = 3.618 x[1] = -1.222 y[1] (analytic) = 0.40107745447369814269052382319864 y[1] (numeric) = 0.40107745447369781553593589076664 absolute error = 3.2715458793243200e-16 relative error = 8.1568929961852578668800000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.598 memory used=152.5MB, alloc=4.6MB, time=28.28 Order of pole = 3.619 x[1] = -1.221 y[1] (analytic) = 0.4014708285273929568366668125344 y[1] (numeric) = 0.40147082852739262825666574849638 absolute error = 3.2858000106403802e-16 relative error = 8.1844053843034952577482000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.597 Order of pole = 3.619 x[1] = -1.22 y[1] (analytic) = 0.4018646519852113808069442211863 y[1] (numeric) = 0.40186465198521105079699453539732 absolute error = 3.3000994968578898e-16 relative error = 8.2119675879811729783200000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.596 Order of pole = 3.619 x[1] = -1.219 y[1] (analytic) = 0.40225892522046806044020803222577 y[1] (numeric) = 0.40225892522046772899577080226727 absolute error = 3.3144443722995850e-16 relative error = 8.2395794462062486261849999999999e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.595 Order of pole = 3.619 x[1] = -1.218 y[1] (analytic) = 0.40265364860577147633765568603323 y[1] (numeric) = 0.40265364860577114345418865866272 absolute error = 3.3288346702737051e-16 relative error = 8.2672407956568331847724000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.594 Order of pole = 3.62 x[1] = -1.217 y[1] (analytic) = 0.40304882251301746934511418171617 y[1] (numeric) = 0.40304882251301713501807187543765 absolute error = 3.3432704230627852e-16 relative error = 8.2949514706864226690828000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.594 Order of pole = 3.62 x[1] = -1.216 y[1] (analytic) = 0.40344444731338273645072168142735 y[1] (numeric) = 0.40344444731338240067555549019015 absolute error = 3.3577516619123720e-16 relative error = 8.3227113033090723320320000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.593 Order of pole = 3.62 x[1] = -1.215 y[1] (analytic) = 0.40384052337731829700451291784874 y[1] (numeric) = 0.40384052337731795977667121588232 absolute error = 3.3722784170196642e-16 relative error = 8.3505201231845179836450000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.592 Order of pole = 3.62 x[1] = -1.214 y[1] (analytic) = 0.40423705107454292916635001430999 y[1] (numeric) = 0.40423705107454259048127826210239 absolute error = 3.3868507175220760e-16 relative error = 8.3783777576032415204960000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.591 Order of pole = 3.62 x[1] = -1.213 y[1] (analytic) = 0.4046340307740365764885777882623 y[1] (numeric) = 0.40463403077403623634171863968991 absolute error = 3.4014685914857239e-16 relative error = 8.4062840314714819890190999999999e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.591 Order of pole = 3.621 x[1] = -1.212 y[1] (analytic) = 0.40503146284403372453972224562404 y[1] (numeric) = 0.40503146284403338292651565624043 absolute error = 3.4161320658938361e-16 relative error = 8.4342387672961912760784000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.59 Order of pole = 3.621 x[1] = -1.211 y[1] (analytic) = 0.4054293476520167474754928095078 y[1] (numeric) = 0.40542934765201640439137614599928 absolute error = 3.4308411666350852e-16 relative error = 8.4622417851699369825892000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.589 Order of pole = 3.621 x[1] = -1.21 y[1] (analytic) = 0.40582768556470922446329288584067 y[1] (numeric) = 0.40582768556470887990370103665642 absolute error = 3.4455959184918425e-16 relative error = 8.4902929027557491042500000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.588 Order of pole = 3.621 x[1] = -1.209 y[1] (analytic) = 0.40622647694806922586638967437292 y[1] (numeric) = 0.40622647694806887982675516153749 absolute error = 3.4603963451283543e-16 relative error = 8.5183919352719123415783000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.588 Order of pole = 3.621 x[1] = -1.208 y[1] (analytic) = 0.40662572216728256909384271066465 y[1] (numeric) = 0.40662572216728222156959580278061 absolute error = 3.4752424690788404e-16 relative error = 8.5465386954767053574656000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.587 Order of pole = 3.621 x[1] = -1.207 y[1] (analytic) = 0.40702542158675604402224149713719 y[1] (numeric) = 0.40702542158675569500881032358579 absolute error = 3.4901343117355140e-16 relative error = 8.5747329936530858353859999999999e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.586 Order of pole = 3.621 x[1] = -1.206 y[1] (analytic) = 0.40742557557011060789525577362783 y[1] (numeric) = 0.40742557557011025738806643997563 absolute error = 3.5050718933365220e-16 relative error = 8.6029746375933197115920000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.585 Order of pole = 3.622 x[1] = -1.205 y[1] (analytic) = 0.40782618448017454960695751470723 y[1] (numeric) = 0.40782618448017419760143421932648 absolute error = 3.5200552329538075e-16 relative error = 8.6312634325835598351875000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.584 Order of pole = 3.622 x[1] = -1.204 y[1] (analytic) = 0.40822724867897662327483164708264 y[1] (numeric) = 0.4082272486789762697663967989935 absolute error = 3.5350843484808914e-16 relative error = 8.6595991813883672677024000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.584 Order of pole = 3.622 x[1] = -1.203 y[1] (analytic) = 0.40862876852773915100835278065748 y[1] (numeric) = 0.40862876852773879599242711859994 absolute error = 3.5501592566205754e-16 relative error = 8.6879816842351817040585999999999e-14 % 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) = 0.40903074438687073825097067909179 absolute error = 3.5652799728725643e-16 relative error = 8.7164107387987366908972000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=156.4MB, alloc=4.6MB, time=28.99 Complex estimate of poles used Radius of convergence = 1.582 Order of pole = 3.622 x[1] = -1.201 y[1] (analytic) = 0.40943317661596109729729065784038 y[1] (numeric) = 0.40943317661596073925263950573947 absolute error = 3.5804465115210091e-16 relative error = 8.7448861401854241468491000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.581 Order of pole = 3.622 x[1] = -1.2 y[1] (analytic) = 0.40983606557377049180327868852459 y[1] (numeric) = 0.40983606557377013223739012632781 absolute error = 3.5956588856219678e-16 relative error = 8.7734076809176014320000000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.581 Order of pole = 3.622 x[1] = -1.199 y[1] (analytic) = 0.41023941161822628067513920448835 y[1] (numeric) = 0.41023941161822591958342850540962 absolute error = 3.6109171069907873e-16 relative error = 8.8019751509178501132672999999999e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.58 Order of pole = 3.622 x[1] = -1.198 y[1] (analytic) = 0.41064321510641408276267614540712 y[1] (numeric) = 0.41064321510641372014055752646682 absolute error = 3.6262211861894030e-16 relative error = 8.8305883374931789432120000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.579 Order of pole = 3.622 x[1] = -1.197 y[1] (analytic) = 0.41104747639457104935077106340859 y[1] (numeric) = 0.41104747639457068519365781205285 absolute error = 3.6415711325135574e-16 relative error = 8.8592470253191750647366000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.578 Order of pole = 3.622 x[1] = -1.196 y[1] (analytic) = 0.41145219583807874865866584156786 y[1] (numeric) = 0.41145219583807838296197044357414 absolute error = 3.6569669539799372e-16 relative error = 8.8879509964241030498752000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.577 Order of pole = 3.622 x[1] = -1.195 y[1] (analytic) = 0.41185737379145601878069624489039 y[1] (numeric) = 0.41185737379145565153983051356757 absolute error = 3.6724086573132282e-16 relative error = 8.9167000301729509003050000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.577 Order of pole = 3.622 x[1] = -1.194 y[1] (analytic) = 0.41226301060835178897410823388175 y[1] (numeric) = 0.41226301060835142018448344057292 absolute error = 3.6878962479330883e-16 relative error = 8.9454939032514245716588000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.576 Order of pole = 3.622 x[1] = -1.193 y[1] (analytic) = 0.41266910664153786919957462068487 y[1] (numeric) = 0.41266910664153749885660162658105 absolute error = 3.7034297299410382e-16 relative error = 8.9743323896498908771118000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.575 Order of pole = 3.622 x[1] = -1.192 y[1] (analytic) = 0.41307566224290170782001797705282 y[1] (numeric) = 0.41307566224290133591910736632593 absolute error = 3.7190091061072689e-16 relative error = 9.0032152606472674183296000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.574 Order of pole = 3.622 x[1] = -1.191 y[1] (analytic) = 0.41348267776343911736333673905232 y[1] (numeric) = 0.41348267776343874389989895331564 absolute error = 3.7346343778573668e-16 relative error = 9.0321422847948623158308000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.574 Order of pole = 3.621 x[1] = -1.19 y[1] (analytic) = 0.41389015355324696825462522246596 y[1] (numeric) = 0.41389015355324659322407069657044 absolute error = 3.7503055452589552e-16 relative error = 9.0611132279001616587199999999999e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.573 Order of pole = 3.621 x[1] = -1.189 y[1] (analytic) = 0.41429808996151585042347479265416 y[1] (numeric) = 0.41429808996151547382121409182892 absolute error = 3.7660226070082524e-16 relative error = 9.0901278530105659911804000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.572 Order of pole = 3.621 x[1] = -1.188 y[1] (analytic) = 0.41470648733652270269194275059884 y[1] (numeric) = 0.41470648733652232451338670894416 absolute error = 3.7817855604165468e-16 relative error = 9.1191859203970776268991999999999e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.571 Order of pole = 3.621 x[1] = -1.187 y[1] (analytic) = 0.41511534602562340984877763059633 y[1] (numeric) = 0.41511534602562303008933749093769 absolute error = 3.7975944013965864e-16 relative error = 9.1482871875379333434215999999999e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.57 Order of pole = 3.621 x[1] = -1.186 y[1] (analytic) = 0.4155246663752453673154945823894 y[1] (numeric) = 0.41552466637524498597058213750081 absolute error = 3.8134491244488859e-16 relative error = 9.1774314091021910113964000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.57 Order of pole = 3.621 x[1] = -1.185 y[1] (analytic) = 0.41593444873088001330990235938816 y[1] (numeric) = 0.41593444873087963037493009459333 absolute error = 3.8293497226479483e-16 relative error = 9.2066183369332635015675000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.569 Order of pole = 3.621 x[1] = -1.184 y[1] (analytic) = 0.41634469343707532841269418316502 y[1] (numeric) = 0.41634469343707494388307542032485 absolute error = 3.8452961876284017e-16 relative error = 9.2358477200324023935552000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.568 Order of pole = 3.62 x[1] = -1.183 y[1] (analytic) = 0.41675540083742830244272843092842 y[1] (numeric) = 0.41675540083742791631387747382324 absolute error = 3.8612885095710518e-16 relative error = 9.2651193045421335125302000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.567 Order of pole = 3.62 x[1] = -1.182 y[1] (analytic) = 0.41716657127457736854664172566793 y[1] (numeric) = 0.41716657127457698081397400678306 absolute error = 3.8773266771888487e-16 relative error = 9.2944328337296417511387999999999e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=160.2MB, alloc=4.6MB, time=29.70 Complex estimate of poles used Radius of convergence = 1.567 Order of pole = 3.62 x[1] = -1.181 y[1] (analytic) = 0.4175782050901948044084566267782 y[1] (numeric) = 0.41757820509019441506738885550137 absolute error = 3.8934106777127683e-16 relative error = 9.3237880479701067268763000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.566 Order of pole = 3.62 x[1] = -1.18 y[1] (analytic) = 0.41799030262497910048486875104498 y[1] (numeric) = 0.41799030262497870953081906328413 absolute error = 3.9095404968776085e-16 relative error = 9.3531846847299905753999999999999e-14 % 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) = 0.41840286421864690260031193815193 absolute error = 3.9257161189076983e-16 relative error = 9.3826224785502741526303000000001e-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) = 0.41881589020992688261507129797539 absolute error = 3.9419375265025226e-16 relative error = 9.4121011610296491716584000000001e-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) = 0.41922938093654965660416400388969 absolute error = 3.9582047008222589e-16 relative error = 9.4416204608076579996781000000001e-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) = 0.41964333673524158568193286261432 absolute error = 3.9745176214732283e-16 relative error = 9.4711801035477876814208000000001e-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) = 0.42005775794171658699796011885466 absolute error = 3.9908762664932596e-16 relative error = 9.5007798119205161352500000000001e-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 = 4.0072806123369662e-16 relative error = 9.5304193055863106262711999999999e-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 = 4.0237306338609355e-16 relative error = 9.5600983011785786215794999999999e-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 = 4.0402263043088317e-16 relative error = 9.5898165122865739818128000000000e-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 = 4.0567675952964100e-16 relative error = 9.6195736494382545448100000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.558 Order of pole = 3.617 x[1] = -1.17 y[1] (analytic) = 0.42213685676896449829034573008569 y[1] (numeric) = 0.42213685676896409095489805044137 absolute error = 4.0733544767964432e-16 relative error = 9.6493694200830942964800000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.557 Order of pole = 3.617 x[1] = -1.169 y[1] (analytic) = 0.42255407741444230679031725782686 y[1] (numeric) = 0.4225540774144418977916255454708 absolute error = 4.0899869171235606e-16 relative error = 9.6792035285748506970966000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.556 Order of pole = 3.616 x[1] = -1.168 y[1] (analytic) = 0.42297176578869007336022305839041 y[1] (numeric) = 0.42297176578868966269373476649061 absolute error = 4.1066648829189980e-16 relative error = 9.7090756761542851275519999999999e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.556 Order of pole = 3.616 x[1] = -1.167 y[1] (analytic) = 0.4233899222190373891406412409728 y[1] (numeric) = 0.42338992221903697680180732744686 absolute error = 4.1233883391352594e-16 relative error = 9.7389855609318386890065999999999e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.555 Order of pole = 3.616 x[1] = -1.166 y[1] (analytic) = 0.42380854703172969829917153905226 y[1] (numeric) = 0.42380854703172928428344663698321 absolute error = 4.1401572490206905e-16 relative error = 9.7689328778702643934180000000001e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.554 Order of pole = 3.615 x[1] = -1.165 y[1] (analytic) = 0.42422764055192016035804812862582 y[1] (numeric) = 0.42422764055191974466089071822954 absolute error = 4.1569715741039628e-16 relative error = 9.7989173187672137112300000000000e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.553 Order of pole = 3.615 x[1] = -1.164 y[1] (analytic) = 0.42464720310366147804404101072829 y[1] (numeric) = 0.42464720310366106066091359288146 absolute error = 4.1738312741784683e-16 relative error = 9.8289385722377782857967999999999e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.552 Order of pole = 3.615 x[1] = -1.163 y[1] (analytic) = 0.42506723500989769056720546772486 y[1] (numeric) = 0.42506723500989727149357473906227 absolute error = 4.1907363072866259e-16 relative error = 9.8589963236969902069370999999999e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.552 Order of pole = 3.614 memory used=164.0MB, alloc=4.6MB, time=30.41 x[1] = -1.162 y[1] (analytic) = 0.4254877365924559322351211193391 y[1] (numeric) = 0.42548773659245551146645814892932 absolute error = 4.2076866297040978e-16 relative error = 9.8890902553422776298632000000000e-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) = 0.42590870817203773384112812416273 absolute error = 4.2246821959239162e-16 relative error = 9.9192200461358772482201999999999e-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) = 0.42633015006821239983861818778971 absolute error = 4.2417229586405204e-16 relative error = 9.9493853717872046502399999999999e-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) = 0.42675206259940613270086239186925 absolute error = 4.2588088687337039e-16 relative error = 9.9795859047351824084958999999999e-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) = 0.42717444608289533671507489519162 absolute error = 4.2759398752524714e-16 relative error = 1.0009821314130526458429600000000e-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) = 0.42759730083479778110818400632197 absolute error = 4.2931159253988056e-16 relative error = 1.0040091265817991317634400000000e-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) = 0.42802062717006414871853096820947 absolute error = 4.3103369645113432e-16 relative error = 1.0070395422318573526515200000000e-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) = 0.42844442540246954935215163455079 absolute error = 4.3276029360489609e-16 relative error = 1.0100733442811675964622500000000e-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) = 0.42886869584460499773107088868327 absolute error = 4.3449137815742698e-16 relative error = 1.0131104983117230080976800000000e-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 = 4.3622694407370198e-16 relative error = 1.0161509695677780555298200000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.544 Order of pole = 3.61 x[1] = -1.152 y[1] (analytic) = 0.4297186546024586782541734275735 y[1] (numeric) = 0.42971865460245824028718830183224 absolute error = 4.3796698512574126e-16 relative error = 1.0191947229540529891110400000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.543 Order of pole = 3.609 x[1] = -1.151 y[1] (analytic) = 0.43014434353736083217445278111976 y[1] (numeric) = 0.43014434353736039246295789018746 absolute error = 4.3971149489093230e-16 relative error = 1.0222417230339343019723000000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.542 Order of pole = 3.609 x[1] = -1.15 y[1] (analytic) = 0.43057050592034445640473627556512 y[1] (numeric) = 0.43057050592034401494426952522213 absolute error = 4.4146046675034299e-16 relative error = 1.0252919340276715942750000000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.541 Order of pole = 3.608 x[1] = -1.149 y[1] (analytic) = 0.43099714205795101372682797740368 y[1] (numeric) = 0.43099714205795057051293409037818 absolute error = 4.4321389388702550e-16 relative error = 1.0283453198105704521255000000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.541 Order of pole = 3.608 x[1] = -1.148 y[1] (analytic) = 0.43142425225548599079168075985891 y[1] (numeric) = 0.43142425225548554581991147554787 absolute error = 4.4497176928431104e-16 relative error = 1.0314018439111816968601600000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.54 Order of pole = 3.607 x[1] = -1.147 y[1] (analytic) = 0.43185183681701012563001784843642 y[1] (numeric) = 0.431851836817009678895932124341 absolute error = 4.4673408572409542e-16 relative error = 1.0344614695094868714107800000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.539 Order of pole = 3.607 x[1] = -1.146 y[1] (analytic) = 0.43227989604533059901889754793552 y[1] (numeric) = 0.43227989604533015051806176282007 absolute error = 4.4850083578511545e-16 relative error = 1.0375241594350801323322000000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.538 Order of pole = 3.606 x[1] = -1.145 y[1] (analytic) = 0.43270843024199218961283413204098 y[1] (numeric) = 0.4327084302419917393408222908248 absolute error = 4.5027201184121618e-16 relative error = 1.0405898761653466223845000000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.537 Order of pole = 3.606 x[1] = -1.144 y[1] (analytic) = 0.43313743970726839274823972944503 y[1] (numeric) = 0.43313743970726794070063366983617 absolute error = 4.5204760605960886e-16 relative error = 1.0436585818236371210009600000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.537 Order of pole = 3.605 x[1] = -1.143 y[1] (analytic) = 0.43356692474015250283010810124135 y[1] (numeric) = 0.43356692474015204900249770212161 absolute error = 4.5382761039911974e-16 relative error = 1.0467302381774393252032600000000e-13 % h = 0.001 TOP MAIN SOLVE Loop memory used=167.8MB, alloc=4.6MB, time=31.12 Complex estimate of poles used Radius of convergence = 1.536 Order of pole = 3.605 x[1] = -1.142 y[1] (analytic) = 0.43399688563834865921002150888565 y[1] (numeric) = 0.43399688563834820359800490045602 absolute error = 4.5561201660842963e-16 relative error = 1.0498048066365456499793200000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.535 Order of pole = 3.604 x[1] = -1.141 y[1] (analytic) = 0.43442732269826285546472645631985 y[1] (numeric) = 0.43442732269826239806391023201557 absolute error = 4.5740081622430428e-16 relative error = 1.0528822482512177603506800000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.534 Order of pole = 3.603 x[1] = -1.14 y[1] (analytic) = 0.43485823621499391198469299008523 y[1] (numeric) = 0.43485823621499345279069242026979 absolute error = 4.5919400056981544e-16 relative error = 1.0559625237103475858240000000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.534 Order of pole = 3.603 x[1] = -1.139 y[1] (analytic) = 0.43528962648232441178224549377296 y[1] (numeric) = 0.43528962648232395079068474122026 absolute error = 4.6099156075255270e-16 relative error = 1.0590455933396151213167000000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.533 Order of pole = 3.602 x[1] = -1.138 y[1] (analytic) = 0.43572149379271159942903055453403 y[1] (numeric) = 0.4357214937927111366355428917079 absolute error = 4.6279348766282613e-16 relative error = 1.0621314170996431326997200000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.532 Order of pole = 3.602 x[1] = -1.137 y[1] (analytic) = 0.43615383843727824303276954634331 y[1] (numeric) = 0.43615383843727777843299757448375 absolute error = 4.6459977197185956e-16 relative error = 1.0652199545841484715216400000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 3.601 x[1] = -1.136 y[1] (analytic) = 0.43658666070580345916343010422197 y[1] (numeric) = 0.43658666070580299275302597424728 absolute error = 4.6641040412997469e-16 relative error = 1.0683111650180905075462400000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.53 Order of pole = 3.601 x[1] = -1.135 y[1] (analytic) = 0.43701996088671350063914169279682 y[1] (numeric) = 0.43701996088671303241376732803097 absolute error = 4.6822537436476585e-16 relative error = 1.0714050072558163371162500000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.53 Order of pole = 3.6 x[1] = -1.134 y[1] (analytic) = 0.4374537392670725070823760387339 y[1] (numeric) = 0.43745373926707203703770335946838 absolute error = 4.7004467267926552e-16 relative error = 1.0745014397792030910371200000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.529 Order of pole = 3.6 x[1] = -1.133 y[1] (analytic) = 0.43788799613257321815711333723638 y[1] (numeric) = 0.43788799613257274628882448713581 absolute error = 4.7186828885010057e-16 relative error = 1.0776004206957973206027300000000e-13 % 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) = 0.438322731767527175701707470005 absolute error = 4.7369621242563912e-16 relative error = 1.0807019077369513037068800000000e-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) = 0.43875794645485725501363955597828 absolute error = 4.7552843272412830e-16 relative error = 1.0838058582559569803563000000000e-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) = 0.43919364047608542891113829058077 absolute error = 4.7736493883182250e-16 relative error = 1.0869122292261766502500000000000e-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) = 0.43962981411132522010243496043057 absolute error = 4.7920571960110244e-16 relative error = 1.0900209772391712552240400000000e-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) = 0.4400664676392717546277132285626 absolute error = 4.8105076364858492e-16 relative error = 1.0931320585028259948492800000000e-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) = 0.44050360133719224931912290470124 absolute error = 4.8290005935322331e-16 relative error = 1.0962454288394734795069900000000e-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) = 0.44094121548091646132282202200912 absolute error = 4.8475359485439858e-16 relative error = 1.0993610436840140340160800000000e-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) = 0.44137931034482709959553850172287 absolute error = 4.8661135805000127e-16 relative error = 1.1024788580820341273437500000000e-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) = 0.4418178862018501982883857176528 absolute error = 4.8847333659450391e-16 relative error = 1.1055988266879218818001600000000e-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) = 0.44225694332344545193091426319298 absolute error = 4.9033951789702433e-16 relative error = 1.1087209037629807262685700000000e-13 % h = 0.001 TOP MAIN SOLVE Loop memory used=171.6MB, alloc=4.6MB, time=31.83 Complex estimate of poles used Radius of convergence = 1.52 Order of pole = 3.593 x[1] = -1.122 y[1] (analytic) = 0.44269648197959700453852433325483 y[1] (numeric) = 0.44269648197959651232863521387525 absolute error = 4.9220988911937958e-16 relative error = 1.1118450431735406231887200000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.519 Order of pole = 3.593 x[1] = -1.121 y[1] (analytic) = 0.4431365024388017411719453825398 y[1] (numeric) = 0.44313650243880124708750820840924 absolute error = 4.9408443717413056e-16 relative error = 1.1149711983890671610489600000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.519 Order of pole = 3.592 x[1] = -1.12 y[1] (analytic) = 0.44357700496806245564229950319375 y[1] (numeric) = 0.44357700496806195967915078057638 absolute error = 4.9596314872261737e-16 relative error = 1.1180993224802685989280000000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.518 Order of pole = 3.592 x[1] = -1.119 y[1] (analytic) = 0.44401798983287606880680377646181 y[1] (numeric) = 0.44401798983287557096079360347642 absolute error = 4.9784601017298539e-16 relative error = 1.1212293681172009489277900000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.517 Order of pole = 3.591 x[1] = -1.118 y[1] (analytic) = 0.44445945729722426179728737504022 y[1] (numeric) = 0.44445945729722376206427969683821 absolute error = 4.9973300767820201e-16 relative error = 1.1243612875673709791472400000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.516 Order of pole = 3.591 x[1] = -1.117 y[1] (analytic) = 0.4449014076235635801928113720359 y[1] (numeric) = 0.4449014076235630785686842379717 absolute error = 5.0162412713406420e-16 relative error = 1.1274950326938376276338000000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.515 Order of pole = 3.59 x[1] = -1.116 y[1] (analytic) = 0.44534384107281549939076962541239 y[1] (numeric) = 0.44534384107281499587141544821575 absolute error = 5.0351935417719664e-16 relative error = 1.1306305549533112584678400000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.515 Order of pole = 3.589 x[1] = -1.115 y[1] (analytic) = 0.44578675790435645109162032341829 y[1] (numeric) = 0.44578675790435594567294614037754 absolute error = 5.0541867418304075e-16 relative error = 1.1337678053942515864187500000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.514 Order of pole = 3.589 x[1] = -1.114 y[1] (analytic) = 0.44623015837600781081269221364072 y[1] (numeric) = 0.44623015837600730349061994980634 absolute error = 5.0732207226383438e-16 relative error = 1.1369067346549637902424800000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.513 Order of pole = 3.588 x[1] = -1.113 y[1] (analytic) = 0.44667404274402584634680934031157 y[1] (numeric) = 0.44667404274402533711727607372936 absolute error = 5.0922953326658221e-16 relative error = 1.1400472929616929876994900000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.512 Order of pole = 3.588 x[1] = -1.112 y[1] (analytic) = 0.44711841126309162708178332284095 y[1] (numeric) = 0.44711841126309111594074155182392 absolute error = 5.1114104177101703e-16 relative error = 1.1431894301267175123443200000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.512 Order of pole = 3.587 x[1] = -1.111 y[1] (analytic) = 0.4475632641863008940971328649733 y[1] (numeric) = 0.44756326418630038104055077742163 absolute error = 5.1305658208755167e-16 relative error = 1.1463330955464405348660700000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.511 Order of pole = 3.587 x[1] = -1.11 y[1] (analytic) = 0.44800860176515389095470633036154 y[1] (numeric) = 0.4480086017651533759785680751398 absolute error = 5.1497613825522174e-16 relative error = 1.1494782381994804458540000000000e-13 % 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) = 0.44845442424954463820051085920719 absolute error = 5.1689969403961925e-16 relative error = 1.1526248066447602128092500000000e-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) = 0.44890073188775275096569813957794 absolute error = 5.1882723293081688e-16 relative error = 1.1557727490195952541683200000000e-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) = 0.4493475249264300557226820125824 absolute error = 5.2075873814128318e-16 relative error = 1.1589220130377805116478200000000e-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) = 0.4497948036105923248487583020082 absolute error = 5.2269419260378858e-16 relative error = 1.1620725459876765074448800000000e-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) = 0.45024256818360839467169674799049 absolute error = 5.2463357896930220e-16 relative error = 1.1652242947302944187550000000000e-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) = 0.45069081888718975869238111795638 absolute error = 5.2657687960487958e-16 relative error = 1.1683772056973804901772800000000e-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) = 0.45113955596138012092740537934312 absolute error = 5.2852407659154124e-16 relative error = 1.1715312248894996364551600000000e-13 % h = 0.001 TOP MAIN SOLVE Loop memory used=175.4MB, alloc=4.6MB, time=32.56 Complex estimate of poles used Radius of convergence = 1.505 Order of pole = 3.583 x[1] = -1.102 y[1] (analytic) = 0.45158877964454543976618539345124 y[1] (numeric) = 0.45158877964454490929103367130913 absolute error = 5.3047515172214211e-16 relative error = 1.1746862978741183769524400000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.504 Order of pole = 3.582 x[1] = -1.101 y[1] (analytic) = 0.45203849017336128136638578501682 y[1] (numeric) = 0.45203849017336074893629928578483 absolute error = 5.3243008649923199e-16 relative error = 1.1778423697836875075099900000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.503 Order of pole = 3.582 x[1] = -1.1 y[1] (analytic) = 0.45248868778280542986425339366516 y[1] (numeric) = 0.45248868778280489547539126075835 absolute error = 5.3438886213290681e-16 relative error = 1.1809993853137240501000000000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.502 Order of pole = 3.581 x[1] = -1.099 y[1] (analytic) = 0.4529393727061451643513160832883 y[1] (numeric) = 0.45293937270614462799985654463744 absolute error = 5.3635145953865086e-16 relative error = 1.1841572887208929073588600000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.502 Order of pole = 3.581 x[1] = -1.098 y[1] (analytic) = 0.45339054517492714013939038920858 y[1] (numeric) = 0.45339054517492660182153105403847 absolute error = 5.3831785933517011e-16 relative error = 1.1873160238210885352964400000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.501 Order of pole = 3.58 x[1] = -1.097 y[1] (analytic) = 0.45384220541896670114354620499417 y[1] (numeric) = 0.45384220541896616085550436277785 absolute error = 5.4028804184221632e-16 relative error = 1.1904755339875160194348800000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.5 Order of pole = 3.58 x[1] = -1.096 y[1] (analytic) = 0.45429435366633715182880735011921 y[1] (numeric) = 0.45429435366633660956682027171683 absolute error = 5.4226198707840238e-16 relative error = 1.1936357621487725732940800000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.499 Order of pole = 3.58 x[1] = -1.095 y[1] (analytic) = 0.45474699014335898864269392116961 y[1] (numeric) = 0.45474699014335844440301916216111 absolute error = 5.4423967475900850e-16 relative error = 1.1967966507869286667125000000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.498 Order of pole = 3.579 x[1] = -1.094 y[1] (analytic) = 0.45520011507458909085612216842768 y[1] (numeric) = 0.45520011507458854463503787464806 absolute error = 5.4622108429377962e-16 relative error = 1.1999581419356096452823200000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.498 Order of pole = 3.579 x[1] = -1.093 y[1] (analytic) = 0.45565372868280987073559370997367 y[1] (numeric) = 0.45565372868280932252939892525989 absolute error = 5.4820619478471378e-16 relative error = 1.2031201771780773125632200000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.497 Order of pole = 3.578 x[1] = -1.092 y[1] (analytic) = 0.45610783118901838297002824219691 y[1] (numeric) = 0.45610783118901783277504321835524 absolute error = 5.5019498502384167e-16 relative error = 1.2062826976453120031748800000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.496 Order of pole = 3.578 x[1] = -1.091 y[1] (analytic) = 0.45656242281241539327602257427243 y[1] (numeric) = 0.4565624228124148410885890832751 absolute error = 5.5218743349099733e-16 relative error = 1.2094456440140951229497300000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.495 Order of pole = 3.578 x[1] = -1.09 y[1] (analytic) = 0.45701750377039440610575385037247 y[1] (numeric) = 0.45701750377039385192223549879247 absolute error = 5.5418351835158000e-16 relative error = 1.2126089565050921980000000000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.495 Order of pole = 3.577 x[1] = -1.089 y[1] (analytic) = 0.45747307427853065138218627297144 y[1] (numeric) = 0.45747307427853009519896881866432 absolute error = 5.5618321745430712e-16 relative error = 1.2157725748809364740575200000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.494 Order of pole = 3.577 x[1] = -1.088 y[1] (analytic) = 0.45792913455057003018668854957358 y[1] (numeric) = 0.45792913455056947200018022061491 absolute error = 5.5818650832895867e-16 relative error = 1.2189364384443135218604800000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.493 Order of pole = 3.576 x[1] = -1.087 y[1] (analytic) = 0.45838568479841801932462369973171 y[1] (numeric) = 0.45838568479841745913125551561905 absolute error = 5.6019336818411266e-16 relative error = 1.2221004860360464715635400000000e-13 % 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 = 5.6220377390487200e-16 relative error = 1.2252646560331824173120000000000e-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 = 5.6421770205058262e-16 relative error = 1.2284288863470797448295000000000e-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 = 5.6623512885254302e-16 relative error = 1.2315931144214968109091200000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.49 Order of pole = 3.575 memory used=179.2MB, alloc=4.6MB, time=33.27 x[1] = -1.083 y[1] (analytic) = 0.46021678972096595822428112986904 y[1] (numeric) = 0.46021678972096538996825091816388 absolute error = 5.6825603021170516e-16 relative error = 1.2347572772306818134072400000000e-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) = 0.46067579296124185390620305600153 absolute error = 5.7028038169636680e-16 relative error = 1.2379213112774641255632000000000e-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] = -1.081 y[1] (analytic) = 0.46113528740948490727261073126373 y[1] (numeric) = 0.46113528740948433496445219140837 absolute error = 5.7230815853985536e-16 relative error = 1.2410851525913472793369600000000e-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) = 0.46159527326440119818651369709962 absolute error = 5.7433933563820319e-16 relative error = 1.2442487367266033908160000000000e-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) = 0.46205575072277013169420653228105 absolute error = 5.7637388754781447e-16 relative error = 1.2474119987603695363672700000000e-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) = 0.4625167199794266778835265925163 absolute error = 5.7841178848312368e-16 relative error = 1.2505748732907459785491200000000e-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) = 0.46297818122725272278056619689978 absolute error = 5.8045301231424573e-16 relative error = 1.2537372944348964653531700000000e-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) = 0.46344013465716494348848266587897 absolute error = 5.8249753256461762e-16 relative error = 1.2568991958271503496131200000000e-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) = 0.46390258045810321365705509209279 absolute error = 5.8454532240863206e-16 relative error = 1.2600605106171074843375000000000e-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) = 0.4643655188170189669069116777967 absolute error = 5.8659635466926266e-16 relative error = 1.2632211714677450760061600000000e-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) = 0.46482894991886351814106045447849 absolute error = 5.8865060181568103e-16 relative error = 1.2663811105535272545888700000000e-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 = 5.9070803596086568e-16 relative error = 1.2695402595585171456051200000000e-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 = 5.9276862885920291e-16 relative error = 1.2726985496744918750893100000000e-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) = 0.46622220150123489400162636996584 absolute error = 5.9483235190407957e-16 relative error = 1.2758559115990602696930000000000e-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) = 0.46668760538389429385158889218923 absolute error = 5.9689917612546790e-16 relative error = 1.2790122755337837228719000000000e-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) = 0.46715350290382557508111131039354 absolute error = 5.9896907218750240e-16 relative error = 1.2821675711823001374976000000000e-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) = 0.46761989423373172117241297549287 absolute error = 6.0104201038604885e-16 relative error = 1.2853217277484512191876500000000e-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) = 0.46808677954423266137541030876262 absolute error = 6.0311796064626547e-16 relative error = 1.2884746739344131144273200000000e-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) = 0.46855415900385325276091417782537 absolute error = 6.0519689252015633e-16 relative error = 1.2916263379388306433942500000000e-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 = 6.0727877518411707e-16 relative error = 1.2947766474549552684787200000000e-13 % h = 0.001 TOP MAIN SOLVE Loop memory used=183.1MB, alloc=4.6MB, time=33.98 Complex estimate of poles used Radius of convergence = 1.475 Order of pole = 3.572 x[1] = -1.063 y[1] (analytic) = 0.46949040103400565923729406390422 y[1] (numeric) = 0.46949040103400504987371662743131 absolute error = 6.0936357743647291e-16 relative error = 1.2979255296687867676397900000000e-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) = 0.46995926393100184925543824771972 absolute error = 6.1145126769500916e-16 relative error = 1.3010729112572190710510400000000e-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) = 0.47042862163002515183379268201701 absolute error = 6.1354181399449416e-16 relative error = 1.3042187183861901202893600000000e-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) = 0.47089847428894268818851162703153 absolute error = 6.1563518398419469e-16 relative error = 1.3073628767088358436840000000000e-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) = 0.47136882206345411035719322320171 absolute error = 6.1773134492538411e-16 relative error = 1.3105053113636488070669100000000e-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) = 0.47183966510707867376913688604638 absolute error = 6.1983026368884307e-16 relative error = 1.3136459469726412042074800000000e-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) = 0.47231100357114287606950923603572 absolute error = 6.2193190675235299e-16 relative error = 1.3167847076395126157245100000000e-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) = 0.47278283760476805277697654059945 absolute error = 6.2403624019818236e-16 relative error = 1.3199215169478226442009600000000e-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) = 0.4732551673548579297186271060832 absolute error = 6.2614322971056592e-16 relative error = 1.3230562979591685531080000000000e-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) = 0.47372799296608613218670320781695 absolute error = 6.2825284057317670e-16 relative error = 1.3261889732113678668572000000000e-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) = 0.47420131458088365076236647479851 absolute error = 6.3036503766659125e-16 relative error = 1.3293194647166466273212500000000e-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) = 0.47467513233942689623221866954256 y[1] (numeric) = 0.47467513233942626375243320379478 absolute error = 6.3247978546574778e-16 relative error = 1.3324476939598327111171200000000e-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) = 0.47514944637962191618573691804049 absolute error = 6.3459704803739762e-16 relative error = 1.3355735818965550684496200000000e-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) = 0.47562425683709805531650466042876 absolute error = 6.3671678903754984e-16 relative error = 1.3386970489514485386000000000000e-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) = 0.47609956384518892258287107254057 absolute error = 6.3883897170890926e-16 relative error = 1.3418180150163647186132600000000e-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) = 0.47657536753492280196940031159028 absolute error = 6.4096355887830785e-16 relative error = 1.3449363994485888748864000000000e-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) = 0.47705166803500922472324035004954 absolute error = 6.4309051295412958e-16 relative error = 1.3480521210690630127622200000000e-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) = 0.47752846547182613037429724016456 absolute error = 6.4521979592372894e-16 relative error = 1.3511650981606155529170400000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.462 Order of pole = 3.573 x[1] = -1.045 y[1] (analytic) = 0.47800575996940763136195791159283 y[1] (numeric) = 0.47800575996940698401058856074976 absolute error = 6.4735136935084307e-16 relative error = 1.3542752484661974735167500000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.461 Order of pole = 3.573 x[1] = -1.044 y[1] (analytic) = 0.4784835516494284992459099226005 y[1] (numeric) = 0.47848355164942784976071554960287 absolute error = 6.4948519437299763e-16 relative error = 1.3573824891871251748516800000000e-13 % h = 0.001 TOP MAIN SOLVE Loop memory used=186.9MB, alloc=4.6MB, time=34.70 Complex estimate of poles used Radius of convergence = 1.46 Order of pole = 3.574 x[1] = -1.043 y[1] (analytic) = 0.47896184063119507205741411376014 y[1] (numeric) = 0.47896184063119442043618241485362 absolute error = 6.5162123169890652e-16 relative error = 1.3604867369813302788754800000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.46 Order of pole = 3.574 x[1] = -1.042 y[1] (analytic) = 0.47944062703162965704653067173467 y[1] (numeric) = 0.47944062703162900328708906586909 absolute error = 6.5375944160586558e-16 relative error = 1.3635879079616166156031200000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.459 Order of pole = 3.574 x[1] = -1.041 y[1] (analytic) = 0.47991991096525811772531399959975 y[1] (numeric) = 0.47991991096525746182553006245947 absolute error = 6.5589978393714028e-16 relative error = 1.3666859176939243957706800000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.458 Order of pole = 3.574 x[1] = -1.04 y[1] (analytic) = 0.48039969254419677171406610299769 y[1] (numeric) = 0.48039969254419611367184800365024 absolute error = 6.5804221809934745e-16 relative error = 1.3697806811956016519200000000000e-13 % 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) = 0.48087997187813858437971391792453 absolute error = 6.6018670305983141e-16 relative error = 1.3728721129336836735546100000000e-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) = 0.48136074907434261719684052942954 absolute error = 6.6233319734403420e-16 relative error = 1.3759601268231797845848000000000e-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) = 0.48184202423761683871897661313797 absolute error = 6.6448165903286040e-16 relative error = 1.3790446362253684554876000000000e-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) = 0.48232379747030748039568207043262 absolute error = 6.6663204576003635e-16 relative error = 1.3821255539461003243096000000000e-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) = 0.48280606887228505584724390922785 absolute error = 6.6878431470946399e-16 relative error = 1.3852027922341095526877500000000e-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) = 0.48328883854093099395296305385684 absolute error = 6.7093842261256947e-16 relative error = 1.3882762627793337942673200000000e-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) = 0.48377210657112422767192089395143 absolute error = 6.7309432574564657e-16 relative error = 1.3913458767112428227347300000000e-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) = 0.48425587305522773855822276294321 absolute error = 6.7525197992719502e-16 relative error = 1.3944115445971759689804800000000e-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) = 0.48474013808307505693361317024965 absolute error = 6.7741134051525386e-16 relative error = 1.3974731764406886182794600000000e-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) = 0.48522490174195671768126465141051 absolute error = 6.7957236240473001e-16 relative error = 1.4005306816799080776090000000000e-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) = 0.48571016411660667162545860224331 absolute error = 6.8173500002472206e-16 relative error = 1.4035839691858987907324600000000e-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) = 0.48619592528918865246280248142873 absolute error = 6.8389920733583939e-16 relative error = 1.4066329472610370839217600000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.449 Order of pole = 3.579 x[1] = -1.027 y[1] (analytic) = 0.48668218533928318527650118336773 y[1] (numeric) = 0.48668218533928249921156335585079 absolute error = 6.8606493782751694e-16 relative error = 1.4096775236373960546092600000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.448 Order of pole = 3.58 x[1] = -1.026 y[1] (analytic) = 0.4871689443438711223787874949578 y[1] (numeric) = 0.48716894434387043414664297963237 absolute error = 6.8823214451532543e-16 relative error = 1.4127176054751401423506800000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.448 Order of pole = 3.58 x[1] = -1.025 y[1] (analytic) = 0.48765620237732398658945443462359 y[1] (numeric) = 0.4876562023773232961886744963462 absolute error = 6.9040077993827739e-16 relative error = 1.4157530993609300728687500000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.447 Order of pole = 3.581 x[1] = -1.024 y[1] (analytic) = 0.48814395951138742228748164578712 y[1] (numeric) = 0.48814395951138672971668548965805 absolute error = 6.9257079615612907e-16 relative error = 1.4187839113063382657043200000000e-13 % h = 0.001 TOP MAIN SOLVE Loop memory used=190.7MB, alloc=4.6MB, time=35.42 Complex estimate of poles used Radius of convergence = 1.446 Order of pole = 3.581 x[1] = -1.023 y[1] (analytic) = 0.48863221581516802351689128275241 y[1] (numeric) = 0.48863221581516732877474653607409 absolute error = 6.9474214474667832e-16 relative error = 1.4218099467462748355512800000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.446 Order of pole = 3.582 x[1] = -1.022 y[1] (analytic) = 0.48912097135511943355878549306329 y[1] (numeric) = 0.48912097135511873664400869000478 absolute error = 6.9691477680305851e-16 relative error = 1.4248311105374242747588400000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.445 Order of pole = 3.582 x[1] = -1.021 y[1] (analytic) = 0.48961022619502839984117044262233 y[1] (numeric) = 0.48961022619502770075252751159352 absolute error = 6.9908864293102881e-16 relative error = 1.4278473069566934137252100000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.444 Order of pole = 3.583 x[1] = -1.02 y[1] (analytic) = 0.49009998039600078415996863360125 y[1] (numeric) = 0.4900999803960000828962753873405 absolute error = 7.0126369324626075e-16 relative error = 1.4308584396996704343000000000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.444 Order of pole = 3.583 x[1] = -1.019 y[1] (analytic) = 0.49059023401644752818563541982995 y[1] (numeric) = 0.49059023401644682474575804820864 absolute error = 7.0343987737162131e-16 relative error = 1.4338644118790953850729100000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.443 Order of pole = 3.584 x[1] = -1.018 y[1] (analytic) = 0.49108098711207057423081984988636 y[1] (numeric) = 0.49108098711206986861367541543374 absolute error = 7.0561714443445262e-16 relative error = 1.4368651260233422969688800000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.442 Order of pole = 3.584 x[1] = -1.017 y[1] (analytic) = 0.49157223973584874125554432039892 y[1] (numeric) = 0.49157223973584803346010125655042 absolute error = 7.0779544306384850e-16 relative error = 1.4398604840749133012165000000000e-13 % 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) = 0.49206399193802284611270066913587 absolute error = 7.0997472138792781e-16 relative error = 1.4428503873889446194393600000000e-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) = 0.4925562437660843276805591834772 absolute error = 7.1215492703110493e-16 relative error = 1.4458347367317250065092500000000e-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) = 0.4930489952647567351412623438629 absolute error = 7.1433600711135740e-16 relative error = 1.4488134322792266332504000000000e-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) = 0.49354224647598425808194004762252 absolute error = 7.1651790823749091e-16 relative error = 1.4517863736156487196237900000000e-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) = 0.49403599743891667057607574758808 absolute error = 7.1870057650640175e-16 relative error = 1.4547534597319740638520000000000e-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) = 0.49453024818989493817897691357798 absolute error = 7.2088395750033691e-16 relative error = 1.4577145890245387727861100000000e-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) = 0.49502499876243678002590995811325 absolute error = 7.2306799628415198e-16 relative error = 1.4606696592936154147980000000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.437 Order of pole = 3.589 x[1] = -1.009 y[1] (analytic) = 0.4955202491872229112706576197883 y[1] (numeric) = 0.49552024918722218601802021722137 absolute error = 7.2525263740256693e-16 relative error = 1.4636185677420096726613300000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.436 Order of pole = 3.59 x[1] = -1.008 y[1] (analytic) = 0.49601599949207961652011047268341 y[1] (numeric) = 0.49601599949207888908228559526335 absolute error = 7.2743782487742006e-16 relative error = 1.4665612109736709958438400000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.435 Order of pole = 3.59 x[1] = -1.007 y[1] (analytic) = 0.49651224970196852211639339459963 y[1] (numeric) = 0.49651224970196779249289118967952 absolute error = 7.2962350220492011e-16 relative error = 1.4694974849923171426253900000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.434 Order of pole = 3.591 x[1] = -1.006 y[1] (analytic) = 0.4970089998389690840521740167671 y[1] (numeric) = 0.49700899983896835224256166387021 absolute error = 7.3180961235289689e-16 relative error = 1.4724272852000732469680400000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.434 Order of pole = 3.591 x[1] = -1.005 y[1] (analytic) = 0.49750624992226464844964614867974 y[1] (numeric) = 0.49750624992226391445354839062943 absolute error = 7.3399609775805031e-16 relative error = 1.4753505063961250743577500000000e-13 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.433 Order of pole = 3.592 memory used=194.5MB, alloc=4.6MB, time=36.13 x[1] = -1.004 y[1] (analytic) = 0.49800399996812774400203982438387 y[1] (numeric) = 0.49800399996812700781913950118549 absolute error = 7.3618290032319838e-16 relative error = 1.4782670427753875182140800000000e-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) = 0.49850224998990459106774300255502 absolute error = 7.3836996141452387e-16 relative error = 1.4811767879271876139348300000000e-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) = 0.49900099999800325544278612519582 absolute error = 7.4055722185882018e-16 relative error = 1.4840796348339630760007200000000e-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) = 0.49950024999987438219287809048231 absolute error = 7.4274462194073646e-16 relative error = 1.4869754758699763336564600000000e-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) = 0.49999999999999925506789859997798 absolute error = 7.4493210140002202e-16 relative error = 1.4898642028000440400000000000000e-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 = 36 Seconds Elapsed Time(since restart) = 36 Seconds Expected Time Remaining = 1 Minutes 12 Seconds Optimized Time Remaining = 1 Minutes 12 Seconds Time to Timeout = 14 Minutes 23 Seconds Percent Done = 33.37 % > quit memory used=195.4MB, alloc=4.6MB, time=36.28