|\^/| 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 > INFO, > ALWAYS, > glob_iolevel, > DEBUGL, > glob_max_terms, > DEBUGMASSIVE, > #Top Generate Globals Decl > glob_curr_iter_when_opt, > glob_no_eqs, > glob_log10_relerr, > glob_subiter_method, > glob_warned2, > glob_hmin, > glob_reached_optimal_h, > glob_dump, > glob_max_opt_iter, > glob_percent_done, > glob_log10relerr, > glob_optimal_start, > glob_relerr, > glob_large_float, > sec_in_min, > djd_debug, > glob_max_iter, > glob_max_hours, > glob_clock_sec, > glob_almost_1, > centuries_in_millinium, > glob_optimal_expect_sec, > glob_normmax, > glob_start, > glob_small_float, > glob_hmax, > glob_not_yet_finished, > min_in_hour, > glob_max_minutes, > glob_max_sec, > glob_log10_abserr, > glob_clock_start_sec, > glob_html_log, > glob_orig_start_sec, > glob_optimal_clock_start_sec, > glob_h, > glob_disp_incr, > glob_unchanged_h_cnt, > glob_abserr, > years_in_century, > glob_log10normmin, > MAX_UNCHANGED, > glob_not_yet_start_msg, > days_in_year, > glob_log10abserr, > glob_current_iter, > glob_smallish_float, > glob_max_trunc_err, > glob_dump_analytic, > glob_look_poles, > glob_hmin_init, > glob_optimal_done, > glob_initial_pass, > hours_in_day, > djd_debug2, > glob_iter, > glob_warned, > glob_max_rel_trunc_err, > glob_last_good_h, > glob_display_flag, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_0D0, > array_const_1, > array_const_1D0, > #END CONST > array_last_rel_error, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_pole, > array_fact_1, > array_1st_rel_error, > array_m1, > array_y_init, > array_type_pole, > array_y, > array_x, > array_norms, > array_complex_pole, > array_y_higher_work2, > array_real_pole, > array_y_higher, > array_fact_2, > array_y_set_initial, > array_poles, > array_y_higher_work, > 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 INFO, ALWAYS, glob_iolevel, DEBUGL, glob_max_terms, DEBUGMASSIVE, glob_curr_iter_when_opt, glob_no_eqs, glob_log10_relerr, glob_subiter_method, glob_warned2, glob_hmin, glob_reached_optimal_h, glob_dump, glob_max_opt_iter, glob_percent_done, glob_log10relerr, glob_optimal_start, glob_relerr, glob_large_float, sec_in_min, djd_debug, glob_max_iter, glob_max_hours, glob_clock_sec, glob_almost_1, centuries_in_millinium, glob_optimal_expect_sec, glob_normmax, glob_start, glob_small_float, glob_hmax, glob_not_yet_finished, min_in_hour, glob_max_minutes, glob_max_sec, glob_log10_abserr, glob_clock_start_sec, glob_html_log, glob_orig_start_sec, glob_optimal_clock_start_sec, glob_h, glob_disp_incr, glob_unchanged_h_cnt, glob_abserr, years_in_century, glob_log10normmin, MAX_UNCHANGED, glob_not_yet_start_msg, days_in_year, glob_log10abserr, glob_current_iter, glob_smallish_float, glob_max_trunc_err, glob_dump_analytic, glob_look_poles, glob_hmin_init, glob_optimal_done, glob_initial_pass, hours_in_day, djd_debug2, glob_iter, glob_warned, glob_max_rel_trunc_err, glob_last_good_h, glob_display_flag, array_const_0D0, array_const_1, array_const_1D0, array_last_rel_error, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_pole, array_fact_1, array_1st_rel_error, array_m1, array_y_init, array_type_pole, array_y, array_x, array_norms, array_complex_pole, array_y_higher_work2, array_real_pole, array_y_higher, array_fact_2, array_y_set_initial, array_poles, array_y_higher_work, 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 > INFO, > ALWAYS, > glob_iolevel, > DEBUGL, > glob_max_terms, > DEBUGMASSIVE, > #Top Generate Globals Decl > glob_curr_iter_when_opt, > glob_no_eqs, > glob_log10_relerr, > glob_subiter_method, > glob_warned2, > glob_hmin, > glob_reached_optimal_h, > glob_dump, > glob_max_opt_iter, > glob_percent_done, > glob_log10relerr, > glob_optimal_start, > glob_relerr, > glob_large_float, > sec_in_min, > djd_debug, > glob_max_iter, > glob_max_hours, > glob_clock_sec, > glob_almost_1, > centuries_in_millinium, > glob_optimal_expect_sec, > glob_normmax, > glob_start, > glob_small_float, > glob_hmax, > glob_not_yet_finished, > min_in_hour, > glob_max_minutes, > glob_max_sec, > glob_log10_abserr, > glob_clock_start_sec, > glob_html_log, > glob_orig_start_sec, > glob_optimal_clock_start_sec, > glob_h, > glob_disp_incr, > glob_unchanged_h_cnt, > glob_abserr, > years_in_century, > glob_log10normmin, > MAX_UNCHANGED, > glob_not_yet_start_msg, > days_in_year, > glob_log10abserr, > glob_current_iter, > glob_smallish_float, > glob_max_trunc_err, > glob_dump_analytic, > glob_look_poles, > glob_hmin_init, > glob_optimal_done, > glob_initial_pass, > hours_in_day, > djd_debug2, > glob_iter, > glob_warned, > glob_max_rel_trunc_err, > glob_last_good_h, > glob_display_flag, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_0D0, > array_const_1, > array_const_1D0, > #END CONST > array_last_rel_error, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_pole, > array_fact_1, > array_1st_rel_error, > array_m1, > array_y_init, > array_type_pole, > array_y, > array_x, > array_norms, > array_complex_pole, > array_y_higher_work2, > array_real_pole, > array_y_higher, > array_fact_2, > array_y_set_initial, > array_poles, > array_y_higher_work, > 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 INFO, ALWAYS, glob_iolevel, DEBUGL, glob_max_terms, DEBUGMASSIVE, glob_curr_iter_when_opt, glob_no_eqs, glob_log10_relerr, glob_subiter_method, glob_warned2, glob_hmin, glob_reached_optimal_h, glob_dump, glob_max_opt_iter, glob_percent_done, glob_log10relerr, glob_optimal_start, glob_relerr, glob_large_float, sec_in_min, djd_debug, glob_max_iter, glob_max_hours, glob_clock_sec, glob_almost_1, centuries_in_millinium, glob_optimal_expect_sec, glob_normmax, glob_start, glob_small_float, glob_hmax, glob_not_yet_finished, min_in_hour, glob_max_minutes, glob_max_sec, glob_log10_abserr, glob_clock_start_sec, glob_html_log, glob_orig_start_sec, glob_optimal_clock_start_sec, glob_h, glob_disp_incr, glob_unchanged_h_cnt, glob_abserr, years_in_century, glob_log10normmin, MAX_UNCHANGED, glob_not_yet_start_msg, days_in_year, glob_log10abserr, glob_current_iter, glob_smallish_float, glob_max_trunc_err, glob_dump_analytic, glob_look_poles, glob_hmin_init, glob_optimal_done, glob_initial_pass, hours_in_day, djd_debug2, glob_iter, glob_warned, glob_max_rel_trunc_err, glob_last_good_h, glob_display_flag, array_const_0D0, array_const_1, array_const_1D0, array_last_rel_error, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_pole, array_fact_1, array_1st_rel_error, array_m1, array_y_init, array_type_pole, array_y, array_x, array_norms, array_complex_pole, array_y_higher_work2, array_real_pole, array_y_higher, array_fact_2, array_y_set_initial, array_poles, array_y_higher_work, 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 > INFO, > ALWAYS, > glob_iolevel, > DEBUGL, > glob_max_terms, > DEBUGMASSIVE, > #Top Generate Globals Decl > glob_curr_iter_when_opt, > glob_no_eqs, > glob_log10_relerr, > glob_subiter_method, > glob_warned2, > glob_hmin, > glob_reached_optimal_h, > glob_dump, > glob_max_opt_iter, > glob_percent_done, > glob_log10relerr, > glob_optimal_start, > glob_relerr, > glob_large_float, > sec_in_min, > djd_debug, > glob_max_iter, > glob_max_hours, > glob_clock_sec, > glob_almost_1, > centuries_in_millinium, > glob_optimal_expect_sec, > glob_normmax, > glob_start, > glob_small_float, > glob_hmax, > glob_not_yet_finished, > min_in_hour, > glob_max_minutes, > glob_max_sec, > glob_log10_abserr, > glob_clock_start_sec, > glob_html_log, > glob_orig_start_sec, > glob_optimal_clock_start_sec, > glob_h, > glob_disp_incr, > glob_unchanged_h_cnt, > glob_abserr, > years_in_century, > glob_log10normmin, > MAX_UNCHANGED, > glob_not_yet_start_msg, > days_in_year, > glob_log10abserr, > glob_current_iter, > glob_smallish_float, > glob_max_trunc_err, > glob_dump_analytic, > glob_look_poles, > glob_hmin_init, > glob_optimal_done, > glob_initial_pass, > hours_in_day, > djd_debug2, > glob_iter, > glob_warned, > glob_max_rel_trunc_err, > glob_last_good_h, > glob_display_flag, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_0D0, > array_const_1, > array_const_1D0, > #END CONST > array_last_rel_error, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_pole, > array_fact_1, > array_1st_rel_error, > array_m1, > array_y_init, > array_type_pole, > array_y, > array_x, > array_norms, > array_complex_pole, > array_y_higher_work2, > array_real_pole, > array_y_higher, > array_fact_2, > array_y_set_initial, > array_poles, > array_y_higher_work, > 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 INFO, ALWAYS, glob_iolevel, DEBUGL, glob_max_terms, DEBUGMASSIVE, glob_curr_iter_when_opt, glob_no_eqs, glob_log10_relerr, glob_subiter_method, glob_warned2, glob_hmin, glob_reached_optimal_h, glob_dump, glob_max_opt_iter, glob_percent_done, glob_log10relerr, glob_optimal_start, glob_relerr, glob_large_float, sec_in_min, djd_debug, glob_max_iter, glob_max_hours, glob_clock_sec, glob_almost_1, centuries_in_millinium, glob_optimal_expect_sec, glob_normmax, glob_start, glob_small_float, glob_hmax, glob_not_yet_finished, min_in_hour, glob_max_minutes, glob_max_sec, glob_log10_abserr, glob_clock_start_sec, glob_html_log, glob_orig_start_sec, glob_optimal_clock_start_sec, glob_h, glob_disp_incr, glob_unchanged_h_cnt, glob_abserr, years_in_century, glob_log10normmin, MAX_UNCHANGED, glob_not_yet_start_msg, days_in_year, glob_log10abserr, glob_current_iter, glob_smallish_float, glob_max_trunc_err, glob_dump_analytic, glob_look_poles, glob_hmin_init, glob_optimal_done, glob_initial_pass, hours_in_day, djd_debug2, glob_iter, glob_warned, glob_max_rel_trunc_err, glob_last_good_h, glob_display_flag, array_const_0D0, array_const_1, array_const_1D0, array_last_rel_error, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_pole, array_fact_1, array_1st_rel_error, array_m1, array_y_init, array_type_pole, array_y, array_x, array_norms, array_complex_pole, array_y_higher_work2, array_real_pole, array_y_higher, array_fact_2, array_y_set_initial, array_poles, array_y_higher_work, 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 > INFO, > ALWAYS, > glob_iolevel, > DEBUGL, > glob_max_terms, > DEBUGMASSIVE, > #Top Generate Globals Decl > glob_curr_iter_when_opt, > glob_no_eqs, > glob_log10_relerr, > glob_subiter_method, > glob_warned2, > glob_hmin, > glob_reached_optimal_h, > glob_dump, > glob_max_opt_iter, > glob_percent_done, > glob_log10relerr, > glob_optimal_start, > glob_relerr, > glob_large_float, > sec_in_min, > djd_debug, > glob_max_iter, > glob_max_hours, > glob_clock_sec, > glob_almost_1, > centuries_in_millinium, > glob_optimal_expect_sec, > glob_normmax, > glob_start, > glob_small_float, > glob_hmax, > glob_not_yet_finished, > min_in_hour, > glob_max_minutes, > glob_max_sec, > glob_log10_abserr, > glob_clock_start_sec, > glob_html_log, > glob_orig_start_sec, > glob_optimal_clock_start_sec, > glob_h, > glob_disp_incr, > glob_unchanged_h_cnt, > glob_abserr, > years_in_century, > glob_log10normmin, > MAX_UNCHANGED, > glob_not_yet_start_msg, > days_in_year, > glob_log10abserr, > glob_current_iter, > glob_smallish_float, > glob_max_trunc_err, > glob_dump_analytic, > glob_look_poles, > glob_hmin_init, > glob_optimal_done, > glob_initial_pass, > hours_in_day, > djd_debug2, > glob_iter, > glob_warned, > glob_max_rel_trunc_err, > glob_last_good_h, > glob_display_flag, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_0D0, > array_const_1, > array_const_1D0, > #END CONST > array_last_rel_error, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_pole, > array_fact_1, > array_1st_rel_error, > array_m1, > array_y_init, > array_type_pole, > array_y, > array_x, > array_norms, > array_complex_pole, > array_y_higher_work2, > array_real_pole, > array_y_higher, > array_fact_2, > array_y_set_initial, > array_poles, > array_y_higher_work, > 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 INFO, ALWAYS, glob_iolevel, DEBUGL, glob_max_terms, DEBUGMASSIVE, glob_curr_iter_when_opt, glob_no_eqs, glob_log10_relerr, glob_subiter_method, glob_warned2, glob_hmin, glob_reached_optimal_h, glob_dump, glob_max_opt_iter, glob_percent_done, glob_log10relerr, glob_optimal_start, glob_relerr, glob_large_float, sec_in_min, djd_debug, glob_max_iter, glob_max_hours, glob_clock_sec, glob_almost_1, centuries_in_millinium, glob_optimal_expect_sec, glob_normmax, glob_start, glob_small_float, glob_hmax, glob_not_yet_finished, min_in_hour, glob_max_minutes, glob_max_sec, glob_log10_abserr, glob_clock_start_sec, glob_html_log, glob_orig_start_sec, glob_optimal_clock_start_sec, glob_h, glob_disp_incr, glob_unchanged_h_cnt, glob_abserr, years_in_century, glob_log10normmin, MAX_UNCHANGED, glob_not_yet_start_msg, days_in_year, glob_log10abserr, glob_current_iter, glob_smallish_float, glob_max_trunc_err, glob_dump_analytic, glob_look_poles, glob_hmin_init, glob_optimal_done, glob_initial_pass, hours_in_day, djd_debug2, glob_iter, glob_warned, glob_max_rel_trunc_err, glob_last_good_h, glob_display_flag, array_const_0D0, array_const_1, array_const_1D0, array_last_rel_error, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_pole, array_fact_1, array_1st_rel_error, array_m1, array_y_init, array_type_pole, array_y, array_x, array_norms, array_complex_pole, array_y_higher_work2, array_real_pole, array_y_higher, array_fact_2, array_y_set_initial, array_poles, array_y_higher_work, 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 > INFO, > ALWAYS, > glob_iolevel, > DEBUGL, > glob_max_terms, > DEBUGMASSIVE, > #Top Generate Globals Decl > glob_curr_iter_when_opt, > glob_no_eqs, > glob_log10_relerr, > glob_subiter_method, > glob_warned2, > glob_hmin, > glob_reached_optimal_h, > glob_dump, > glob_max_opt_iter, > glob_percent_done, > glob_log10relerr, > glob_optimal_start, > glob_relerr, > glob_large_float, > sec_in_min, > djd_debug, > glob_max_iter, > glob_max_hours, > glob_clock_sec, > glob_almost_1, > centuries_in_millinium, > glob_optimal_expect_sec, > glob_normmax, > glob_start, > glob_small_float, > glob_hmax, > glob_not_yet_finished, > min_in_hour, > glob_max_minutes, > glob_max_sec, > glob_log10_abserr, > glob_clock_start_sec, > glob_html_log, > glob_orig_start_sec, > glob_optimal_clock_start_sec, > glob_h, > glob_disp_incr, > glob_unchanged_h_cnt, > glob_abserr, > years_in_century, > glob_log10normmin, > MAX_UNCHANGED, > glob_not_yet_start_msg, > days_in_year, > glob_log10abserr, > glob_current_iter, > glob_smallish_float, > glob_max_trunc_err, > glob_dump_analytic, > glob_look_poles, > glob_hmin_init, > glob_optimal_done, > glob_initial_pass, > hours_in_day, > djd_debug2, > glob_iter, > glob_warned, > glob_max_rel_trunc_err, > glob_last_good_h, > glob_display_flag, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_0D0, > array_const_1, > array_const_1D0, > #END CONST > array_last_rel_error, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_pole, > array_fact_1, > array_1st_rel_error, > array_m1, > array_y_init, > array_type_pole, > array_y, > array_x, > array_norms, > array_complex_pole, > array_y_higher_work2, > array_real_pole, > array_y_higher, > array_fact_2, > array_y_set_initial, > array_poles, > array_y_higher_work, > 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 INFO, ALWAYS, glob_iolevel, DEBUGL, glob_max_terms, DEBUGMASSIVE, glob_curr_iter_when_opt, glob_no_eqs, glob_log10_relerr, glob_subiter_method, glob_warned2, glob_hmin, glob_reached_optimal_h, glob_dump, glob_max_opt_iter, glob_percent_done, glob_log10relerr, glob_optimal_start, glob_relerr, glob_large_float, sec_in_min, djd_debug, glob_max_iter, glob_max_hours, glob_clock_sec, glob_almost_1, centuries_in_millinium, glob_optimal_expect_sec, glob_normmax, glob_start, glob_small_float, glob_hmax, glob_not_yet_finished, min_in_hour, glob_max_minutes, glob_max_sec, glob_log10_abserr, glob_clock_start_sec, glob_html_log, glob_orig_start_sec, glob_optimal_clock_start_sec, glob_h, glob_disp_incr, glob_unchanged_h_cnt, glob_abserr, years_in_century, glob_log10normmin, MAX_UNCHANGED, glob_not_yet_start_msg, days_in_year, glob_log10abserr, glob_current_iter, glob_smallish_float, glob_max_trunc_err, glob_dump_analytic, glob_look_poles, glob_hmin_init, glob_optimal_done, glob_initial_pass, hours_in_day, djd_debug2, glob_iter, glob_warned, glob_max_rel_trunc_err, glob_last_good_h, glob_display_flag, array_const_0D0, array_const_1, array_const_1D0, array_last_rel_error, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_pole, array_fact_1, array_1st_rel_error, array_m1, array_y_init, array_type_pole, array_y, array_x, array_norms, array_complex_pole, array_y_higher_work2, array_real_pole, array_y_higher, array_fact_2, array_y_set_initial, array_poles, array_y_higher_work, 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 > INFO, > ALWAYS, > glob_iolevel, > DEBUGL, > glob_max_terms, > DEBUGMASSIVE, > #Top Generate Globals Decl > glob_curr_iter_when_opt, > glob_no_eqs, > glob_log10_relerr, > glob_subiter_method, > glob_warned2, > glob_hmin, > glob_reached_optimal_h, > glob_dump, > glob_max_opt_iter, > glob_percent_done, > glob_log10relerr, > glob_optimal_start, > glob_relerr, > glob_large_float, > sec_in_min, > djd_debug, > glob_max_iter, > glob_max_hours, > glob_clock_sec, > glob_almost_1, > centuries_in_millinium, > glob_optimal_expect_sec, > glob_normmax, > glob_start, > glob_small_float, > glob_hmax, > glob_not_yet_finished, > min_in_hour, > glob_max_minutes, > glob_max_sec, > glob_log10_abserr, > glob_clock_start_sec, > glob_html_log, > glob_orig_start_sec, > glob_optimal_clock_start_sec, > glob_h, > glob_disp_incr, > glob_unchanged_h_cnt, > glob_abserr, > years_in_century, > glob_log10normmin, > MAX_UNCHANGED, > glob_not_yet_start_msg, > days_in_year, > glob_log10abserr, > glob_current_iter, > glob_smallish_float, > glob_max_trunc_err, > glob_dump_analytic, > glob_look_poles, > glob_hmin_init, > glob_optimal_done, > glob_initial_pass, > hours_in_day, > djd_debug2, > glob_iter, > glob_warned, > glob_max_rel_trunc_err, > glob_last_good_h, > glob_display_flag, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_0D0, > array_const_1, > array_const_1D0, > #END CONST > array_last_rel_error, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_pole, > array_fact_1, > array_1st_rel_error, > array_m1, > array_y_init, > array_type_pole, > array_y, > array_x, > array_norms, > array_complex_pole, > array_y_higher_work2, > array_real_pole, > array_y_higher, > array_fact_2, > array_y_set_initial, > array_poles, > array_y_higher_work, > 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_x[1] * (array_x[1])); > #emit pre add $eq_no = 1 i = 1 > array_tmp2[1] := array_tmp1[1] + array_const_1D0[1]; > #emit pre div $eq_no = 1 i = 1 > array_tmp3[1] := (array_const_1D0[1] / (array_tmp2[1])); > #emit pre add $eq_no = 1 i = 1 > array_tmp4[1] := array_const_0D0[1] + array_tmp3[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_tmp4[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_x,array_x,1); > #emit pre add $eq_no = 1 i = 2 > array_tmp2[2] := array_tmp1[2] + array_const_1D0[2]; > #emit pre div $eq_no = 1 i = 2 > array_tmp3[2] := ((array_const_1D0[2] - ats(2,array_tmp2,array_tmp3,2))/array_tmp2[1]); > #emit pre add $eq_no = 1 i = 2 > array_tmp4[2] := array_const_0D0[2] + array_tmp3[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_tmp4[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_x,array_x,1); > #emit pre add $eq_no = 1 i = 3 > array_tmp2[3] := array_tmp1[3] + array_const_1D0[3]; > #emit pre div $eq_no = 1 i = 3 > array_tmp3[3] := ((array_const_1D0[3] - ats(3,array_tmp2,array_tmp3,2))/array_tmp2[1]); > #emit pre add $eq_no = 1 i = 3 > array_tmp4[3] := array_const_0D0[3] + array_tmp3[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_tmp4[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_x,array_x,1); > #emit pre add $eq_no = 1 i = 4 > array_tmp2[4] := array_tmp1[4] + array_const_1D0[4]; > #emit pre div $eq_no = 1 i = 4 > array_tmp3[4] := ((array_const_1D0[4] - ats(4,array_tmp2,array_tmp3,2))/array_tmp2[1]); > #emit pre add $eq_no = 1 i = 4 > array_tmp4[4] := array_const_0D0[4] + array_tmp3[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_tmp4[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_x,array_x,1); > #emit pre add $eq_no = 1 i = 5 > array_tmp2[5] := array_tmp1[5] + array_const_1D0[5]; > #emit pre div $eq_no = 1 i = 5 > array_tmp3[5] := ((array_const_1D0[5] - ats(5,array_tmp2,array_tmp3,2))/array_tmp2[1]); > #emit pre add $eq_no = 1 i = 5 > array_tmp4[5] := array_const_0D0[5] + array_tmp3[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_tmp4[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_x,array_x,1); > #emit add $eq_no = 1 > array_tmp2[kkk] := array_tmp1[kkk] + array_const_1D0[kkk]; > #emit div $eq_no = 1 > array_tmp3[kkk] := ((array_const_1D0[kkk] - ats(kkk,array_tmp2,array_tmp3,2))/array_tmp2[1]); > #emit add $eq_no = 1 > array_tmp4[kkk] := array_const_0D0[kkk] + array_tmp3[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_tmp4[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 INFO, ALWAYS, glob_iolevel, DEBUGL, glob_max_terms, DEBUGMASSIVE, glob_curr_iter_when_opt, glob_no_eqs, glob_log10_relerr, glob_subiter_method, glob_warned2, glob_hmin, glob_reached_optimal_h, glob_dump, glob_max_opt_iter, glob_percent_done, glob_log10relerr, glob_optimal_start, glob_relerr, glob_large_float, sec_in_min, djd_debug, glob_max_iter, glob_max_hours, glob_clock_sec, glob_almost_1, centuries_in_millinium, glob_optimal_expect_sec, glob_normmax, glob_start, glob_small_float, glob_hmax, glob_not_yet_finished, min_in_hour, glob_max_minutes, glob_max_sec, glob_log10_abserr, glob_clock_start_sec, glob_html_log, glob_orig_start_sec, glob_optimal_clock_start_sec, glob_h, glob_disp_incr, glob_unchanged_h_cnt, glob_abserr, years_in_century, glob_log10normmin, MAX_UNCHANGED, glob_not_yet_start_msg, days_in_year, glob_log10abserr, glob_current_iter, glob_smallish_float, glob_max_trunc_err, glob_dump_analytic, glob_look_poles, glob_hmin_init, glob_optimal_done, glob_initial_pass, hours_in_day, djd_debug2, glob_iter, glob_warned, glob_max_rel_trunc_err, glob_last_good_h, glob_display_flag, array_const_0D0, array_const_1, array_const_1D0, array_last_rel_error, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_pole, array_fact_1, array_1st_rel_error, array_m1, array_y_init, array_type_pole, array_y, array_x, array_norms, array_complex_pole, array_y_higher_work2, array_real_pole, array_y_higher, array_fact_2, array_y_set_initial, array_poles, array_y_higher_work, glob_last; array_tmp1[1] := array_x[1]*array_x[1]; array_tmp2[1] := array_tmp1[1] + array_const_1D0[1]; array_tmp3[1] := array_const_1D0[1]/array_tmp2[1]; array_tmp4[1] := array_const_0D0[1] + array_tmp3[1]; if not array_y_set_initial[1, 2] then if 1 <= glob_max_terms then temporary := array_tmp4[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_x, array_x, 1); array_tmp2[2] := array_tmp1[2] + array_const_1D0[2]; array_tmp3[2] := ( array_const_1D0[2] - ats(2, array_tmp2, array_tmp3, 2))/ array_tmp2[1]; array_tmp4[2] := array_const_0D0[2] + array_tmp3[2]; if not array_y_set_initial[1, 3] then if 2 <= glob_max_terms then temporary := array_tmp4[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_x, array_x, 1); array_tmp2[3] := array_tmp1[3] + array_const_1D0[3]; array_tmp3[3] := ( array_const_1D0[3] - ats(3, array_tmp2, array_tmp3, 2))/ array_tmp2[1]; array_tmp4[3] := array_const_0D0[3] + array_tmp3[3]; if not array_y_set_initial[1, 4] then if 3 <= glob_max_terms then temporary := array_tmp4[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_x, array_x, 1); array_tmp2[4] := array_tmp1[4] + array_const_1D0[4]; array_tmp3[4] := ( array_const_1D0[4] - ats(4, array_tmp2, array_tmp3, 2))/ array_tmp2[1]; array_tmp4[4] := array_const_0D0[4] + array_tmp3[4]; if not array_y_set_initial[1, 5] then if 4 <= glob_max_terms then temporary := array_tmp4[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_x, array_x, 1); array_tmp2[5] := array_tmp1[5] + array_const_1D0[5]; array_tmp3[5] := ( array_const_1D0[5] - ats(5, array_tmp2, array_tmp3, 2))/ array_tmp2[1]; array_tmp4[5] := array_const_0D0[5] + array_tmp3[5]; if not array_y_set_initial[1, 6] then if 5 <= glob_max_terms then temporary := array_tmp4[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_x, array_x, 1); array_tmp2[kkk] := array_tmp1[kkk] + array_const_1D0[kkk]; array_tmp3[kkk] := ( array_const_1D0[kkk] - ats(kkk, array_tmp2, array_tmp3, 2))/ array_tmp2[1]; array_tmp4[kkk] := array_const_0D0[kkk] + array_tmp3[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_tmp4[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) > arctan(x); > end; exact_soln_y := proc(x) arctan(x) 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 > INFO, > ALWAYS, > glob_iolevel, > DEBUGL, > glob_max_terms, > DEBUGMASSIVE, > #Top Generate Globals Decl > glob_curr_iter_when_opt, > glob_no_eqs, > glob_log10_relerr, > glob_subiter_method, > glob_warned2, > glob_hmin, > glob_reached_optimal_h, > glob_dump, > glob_max_opt_iter, > glob_percent_done, > glob_log10relerr, > glob_optimal_start, > glob_relerr, > glob_large_float, > sec_in_min, > djd_debug, > glob_max_iter, > glob_max_hours, > glob_clock_sec, > glob_almost_1, > centuries_in_millinium, > glob_optimal_expect_sec, > glob_normmax, > glob_start, > glob_small_float, > glob_hmax, > glob_not_yet_finished, > min_in_hour, > glob_max_minutes, > glob_max_sec, > glob_log10_abserr, > glob_clock_start_sec, > glob_html_log, > glob_orig_start_sec, > glob_optimal_clock_start_sec, > glob_h, > glob_disp_incr, > glob_unchanged_h_cnt, > glob_abserr, > years_in_century, > glob_log10normmin, > MAX_UNCHANGED, > glob_not_yet_start_msg, > days_in_year, > glob_log10abserr, > glob_current_iter, > glob_smallish_float, > glob_max_trunc_err, > glob_dump_analytic, > glob_look_poles, > glob_hmin_init, > glob_optimal_done, > glob_initial_pass, > hours_in_day, > djd_debug2, > glob_iter, > glob_warned, > glob_max_rel_trunc_err, > glob_last_good_h, > glob_display_flag, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_0D0, > array_const_1, > array_const_1D0, > #END CONST > array_last_rel_error, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_pole, > array_fact_1, > array_1st_rel_error, > array_m1, > array_y_init, > array_type_pole, > array_y, > array_x, > array_norms, > array_complex_pole, > array_y_higher_work2, > array_real_pole, > array_y_higher, > array_fact_2, > array_y_set_initial, > array_poles, > array_y_higher_work, > glob_last; > glob_last; > ALWAYS := 1; > INFO := 2; > DEBUGL := 3; > DEBUGMASSIVE := 4; > glob_iolevel := INFO; > INFO := 2; > ALWAYS := 1; > glob_iolevel := 5; > DEBUGL := 3; > glob_max_terms := 30; > DEBUGMASSIVE := 4; > glob_curr_iter_when_opt := 0; > glob_no_eqs := 0; > glob_log10_relerr := 0.1e-10; > glob_subiter_method := 3; > glob_warned2 := false; > glob_hmin := 0.00000000001; > glob_reached_optimal_h := false; > glob_dump := false; > glob_max_opt_iter := 10; > glob_percent_done := 0.0; > glob_log10relerr := 0.0; > glob_optimal_start := 0.0; > glob_relerr := 0.1e-10; > glob_large_float := 9.0e100; > sec_in_min := 60.0; > djd_debug := true; > glob_max_iter := 1000; > glob_max_hours := 0.0; > glob_clock_sec := 0.0; > glob_almost_1 := 0.9990; > centuries_in_millinium := 10.0; > glob_optimal_expect_sec := 0.1; > glob_normmax := 0.0; > glob_start := 0; > glob_small_float := 0.1e-50; > glob_hmax := 1.0; > glob_not_yet_finished := true; > min_in_hour := 60.0; > glob_max_minutes := 0.0; > glob_max_sec := 10000.0; > glob_log10_abserr := 0.1e-10; > glob_clock_start_sec := 0.0; > glob_html_log := true; > glob_orig_start_sec := 0.0; > glob_optimal_clock_start_sec := 0.0; > glob_h := 0.1; > glob_disp_incr := 0.1; > glob_unchanged_h_cnt := 0; > glob_abserr := 0.1e-10; > years_in_century := 100.0; > glob_log10normmin := 0.1; > MAX_UNCHANGED := 10; > glob_not_yet_start_msg := true; > days_in_year := 365.0; > glob_log10abserr := 0.0; > glob_current_iter := 0; > glob_smallish_float := 0.1e-100; > glob_max_trunc_err := 0.1e-10; > glob_dump_analytic := false; > glob_look_poles := false; > glob_hmin_init := 0.001; > glob_optimal_done := false; > glob_initial_pass := true; > hours_in_day := 24.0; > djd_debug2 := true; > glob_iter := 0; > glob_warned := false; > glob_max_rel_trunc_err := 0.1e-10; > glob_last_good_h := 0.1; > glob_display_flag := true; > #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/sing2postode.ode#################"); > omniout_str(ALWAYS,"diff ( y , x , 1 ) = 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,"glob_h := 0.00001;"); > omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);"); > omniout_str(ALWAYS,"glob_look_poles := true;"); > omniout_str(ALWAYS,"glob_adjust_h := false;"); > omniout_str(ALWAYS,"glob_max_iter := 100;"); > 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,"arctan(x);"); > 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_last_rel_error:= 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_pole:= Array(0..(max_terms + 1),[]); > array_fact_1:= Array(0..(max_terms + 1),[]); > array_1st_rel_error:= Array(0..(max_terms + 1),[]); > array_m1:= Array(0..(max_terms + 1),[]); > array_y_init:= Array(0..(max_terms + 1),[]); > array_type_pole:= Array(0..(max_terms + 1),[]); > array_y:= Array(0..(max_terms + 1),[]); > array_x:= Array(0..(max_terms + 1),[]); > array_norms:= Array(0..(max_terms + 1),[]); > array_complex_pole := Array(0..(1+ 1) ,(0..3+ 1),[]); > array_y_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_real_pole := Array(0..(1+ 1) ,(0..3+ 1),[]); > array_y_higher := 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_y_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > 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_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_pole[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_m1[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_type_pole[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_y[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_x[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_norms[term] := 0.0; > term := term + 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_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 <=1 do # do number 2 > term := 1; > while term <= 3 do # do number 3 > array_real_pole[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y_higher[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 <=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 > ; > #BEGIN ARRAYS DEFINED AND INITIALIZATED > 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_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_const_0D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_const_0D0[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_0D0[1] := 0.0; > array_const_1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_const_1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_1[1] := 1; > array_const_1D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_const_1D0[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_1D0[1] := 1.0; > array_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_m1[1] := -1.0; > #END ARRAYS DEFINED AND INITIALIZATED > #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; > glob_h := 0.00001; > array_y_init[0 + 1] := exact_soln_y(x_start); > glob_look_poles := true; > glob_adjust_h := false; > glob_max_iter := 100; > #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 ) = 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,"2012-06-18T00:48:52-05:00") > ; > logitem_str(html_log_file,"Maple") > ; > logitem_str(html_log_file,"sing2") > ; > logitem_str(html_log_file,"diff ( y , x , 1 ) = 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,"sing2 diffeq.mxt") > ; > logitem_str(html_log_file,"sing2 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; Warning, `glob_adjust_h` is implicitly declared local to procedure `mainprog` 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, glob_adjust_h; global INFO, ALWAYS, glob_iolevel, DEBUGL, glob_max_terms, DEBUGMASSIVE, glob_curr_iter_when_opt, glob_no_eqs, glob_log10_relerr, glob_subiter_method, glob_warned2, glob_hmin, glob_reached_optimal_h, glob_dump, glob_max_opt_iter, glob_percent_done, glob_log10relerr, glob_optimal_start, glob_relerr, glob_large_float, sec_in_min, djd_debug, glob_max_iter, glob_max_hours, glob_clock_sec, glob_almost_1, centuries_in_millinium, glob_optimal_expect_sec, glob_normmax, glob_start, glob_small_float, glob_hmax, glob_not_yet_finished, min_in_hour, glob_max_minutes, glob_max_sec, glob_log10_abserr, glob_clock_start_sec, glob_html_log, glob_orig_start_sec, glob_optimal_clock_start_sec, glob_h, glob_disp_incr, glob_unchanged_h_cnt, glob_abserr, years_in_century, glob_log10normmin, MAX_UNCHANGED, glob_not_yet_start_msg, days_in_year, glob_log10abserr, glob_current_iter, glob_smallish_float, glob_max_trunc_err, glob_dump_analytic, glob_look_poles, glob_hmin_init, glob_optimal_done, glob_initial_pass, hours_in_day, djd_debug2, glob_iter, glob_warned, glob_max_rel_trunc_err, glob_last_good_h, glob_display_flag, array_const_0D0, array_const_1, array_const_1D0, array_last_rel_error, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_pole, array_fact_1, array_1st_rel_error, array_m1, array_y_init, array_type_pole, array_y, array_x, array_norms, array_complex_pole, array_y_higher_work2, array_real_pole, array_y_higher, array_fact_2, array_y_set_initial, array_poles, array_y_higher_work, glob_last; glob_last; ALWAYS := 1; INFO := 2; DEBUGL := 3; DEBUGMASSIVE := 4; glob_iolevel := INFO; INFO := 2; ALWAYS := 1; glob_iolevel := 5; DEBUGL := 3; glob_max_terms := 30; DEBUGMASSIVE := 4; glob_curr_iter_when_opt := 0; glob_no_eqs := 0; glob_log10_relerr := 0.1*10^(-10); glob_subiter_method := 3; glob_warned2 := false; glob_hmin := 0.1*10^(-10); glob_reached_optimal_h := false; glob_dump := false; glob_max_opt_iter := 10; glob_percent_done := 0.; glob_log10relerr := 0.; glob_optimal_start := 0.; glob_relerr := 0.1*10^(-10); glob_large_float := 0.90*10^101; sec_in_min := 60.0; djd_debug := true; glob_max_iter := 1000; glob_max_hours := 0.; glob_clock_sec := 0.; glob_almost_1 := 0.9990; centuries_in_millinium := 10.0; glob_optimal_expect_sec := 0.1; glob_normmax := 0.; glob_start := 0; glob_small_float := 0.1*10^(-50); glob_hmax := 1.0; glob_not_yet_finished := true; min_in_hour := 60.0; glob_max_minutes := 0.; glob_max_sec := 10000.0; glob_log10_abserr := 0.1*10^(-10); glob_clock_start_sec := 0.; glob_html_log := true; glob_orig_start_sec := 0.; glob_optimal_clock_start_sec := 0.; glob_h := 0.1; glob_disp_incr := 0.1; glob_unchanged_h_cnt := 0; glob_abserr := 0.1*10^(-10); years_in_century := 100.0; glob_log10normmin := 0.1; MAX_UNCHANGED := 10; glob_not_yet_start_msg := true; days_in_year := 365.0; glob_log10abserr := 0.; glob_current_iter := 0; glob_smallish_float := 0.1*10^(-100); glob_max_trunc_err := 0.1*10^(-10); glob_dump_analytic := false; glob_look_poles := false; glob_hmin_init := 0.001; glob_optimal_done := false; glob_initial_pass := true; hours_in_day := 24.0; djd_debug2 := true; glob_iter := 0; glob_warned := false; glob_max_rel_trunc_err := 0.1*10^(-10); glob_last_good_h := 0.1; glob_display_flag := true; 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/sing2postode.ode#################"); omniout_str(ALWAYS, "diff ( y , x , 1 ) = 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, "glob_h := 0.00001;"); omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);"); omniout_str(ALWAYS, "glob_look_poles := true;"); omniout_str(ALWAYS, "glob_adjust_h := false;"); omniout_str(ALWAYS, "glob_max_iter := 100;"); 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, "arctan(x);"); 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_last_rel_error := 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_pole := Array(0 .. max_terms + 1, []); array_fact_1 := Array(0 .. max_terms + 1, []); array_1st_rel_error := Array(0 .. max_terms + 1, []); array_m1 := Array(0 .. max_terms + 1, []); array_y_init := Array(0 .. max_terms + 1, []); array_type_pole := Array(0 .. max_terms + 1, []); array_y := Array(0 .. max_terms + 1, []); array_x := Array(0 .. max_terms + 1, []); array_norms := Array(0 .. max_terms + 1, []); array_complex_pole := Array(0 .. 2, 0 .. 4, []); array_y_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []); array_real_pole := Array(0 .. 2, 0 .. 4, []); array_y_higher := 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_y_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []); 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_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_pole[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_m1[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_type_pole[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_y[term] := 0.; term := term + 1 end do ; term := 1; while term <= max_terms do array_x[term] := 0.; term := term + 1 end do ; term := 1; while term <= max_terms do array_norms[term] := 0.; term := term + 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_work2[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 1 do term := 1; while term <= 3 do array_real_pole[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_higher[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 <= 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; 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_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_const_0D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_0D0[term] := 0.; term := term + 1 end do; array_const_0D0[1] := 0.; array_const_1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_1[term] := 0.; term := term + 1 end do; array_const_1[1] := 1; array_const_1D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_1D0[term] := 0.; term := term + 1 end do; array_const_1D0[1] := 1.0; array_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms do array_m1[term] := 0.; term := term + 1 end do; array_m1[1] := -1.0; 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; glob_h := 0.00001; array_y_init[1] := exact_soln_y(x_start); glob_look_poles := true; glob_adjust_h := false; glob_max_iter := 100; 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 ) = 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, "2012-06-18T00:48:52-05:00"); logitem_str(html_log_file, "Maple"); logitem_str(html_log_file, "sing2"); logitem_str(html_log_file, "diff ( y , x , 1 ) = 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, "sing2 diffeq.mxt"); logitem_str(html_log_file, "sing2 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/sing2postode.ode################# diff ( y , x , 1 ) = 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; glob_h := 0.00001; array_y_init[0 + 1] := exact_soln_y(x_start); glob_look_poles := true; glob_adjust_h := false; glob_max_iter := 100; #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) arctan(x); end; #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = -2 y[1] (analytic) = -1.1071487177940905030170654601785 y[1] (numeric) = -1.1071487177940905030170654601785 absolute error = 0 relative error = 0 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.244 Order of pole = 2.182 x[1] = -1.999 y[1] (analytic) = -1.106948637764747567059262846648 y[1] (numeric) = -1.106948637764747567042838732132 absolute error = 1.64241145160e-20 relative error = 1.4837286894507663543620207541988e-18 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.243 Order of pole = 2.182 x[1] = -1.998 y[1] (analytic) = -1.1067483975592701523523682753958 y[1] (numeric) = -1.1067483975592701523195331853786 absolute error = 3.28350900172e-20 relative error = 2.9668070981274286338362642073798e-18 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.242 Order of pole = 2.182 x[1] = -1.997 y[1] (analytic) = -1.1065479970013122650430381404474 y[1] (numeric) = -1.1065479970013122649938054261268 absolute error = 4.92327143206e-20 relative error = 4.4492163425371610418492985393154e-18 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.241 Order of pole = 2.182 x[1] = -1.996 y[1] (analytic) = -1.1063474359142968807862186779712 y[1] (numeric) = -1.1063474359142968807206019039402 absolute error = 6.56167740310e-20 relative error = 5.9309374163075294879060761722833e-18 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.24 Order of pole = 2.182 x[1] = -1.995 y[1] (analytic) = -1.1061467141214156290212504508558 y[1] (numeric) = -1.1061467141214156289392633963217 absolute error = 8.19870545341e-20 relative error = 7.4119511894242930274267794911139e-18 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.239 Order of pole = 2.182 x[1] = -1.994 y[1] (analytic) = -1.1059458314456284769108753479934 y[1] (numeric) = -1.1059458314456284768125320080015 absolute error = 9.83433399919e-20 relative error = 8.8922384076760133309449138142672e-18 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.238 Order of pole = 2.182 x[1] = -1.993 y[1] (analytic) = -1.105744787709663412943428695263 y[1] (numeric) = -1.1057447877096634128287432819268 absolute error = 1.146854133362e-19 relative error = 1.0371779691925897748347715222315e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.238 Order of pole = 2.182 x[1] = -1.992 y[1] (analytic) = -1.1055435827360161301985035103973 y[1] (numeric) = -1.1055435827360161300674904541341 absolute error = 1.310130562632e-19 relative error = 1.1850555537482013054280515856525e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.237 Order of pole = 2.182 x[1] = -1.991 y[1] (analytic) = -1.1053422163469497092763783943778 y[1] (numeric) = -1.10534221634694970912905234515 absolute error = 1.473260492278e-19 relative error = 1.3328546313439334639034068909872e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.236 Order of pole = 2.182 x[1] = -1.99 y[1] (analytic) = -1.1051406883644943008915050378617 y[1] (numeric) = -1.1051406883644943007278808664243 absolute error = 1.636241714374e-19 relative error = 1.4805732261975495168796500206780e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.235 Order of pole = 2.182 x[1] = -1.989 y[1] (analytic) = -1.1049389986104468081303558325205 y[1] (numeric) = -1.104938998610446807950448631674 absolute error = 1.799072008465e-19 relative error = 1.6282093497717824232897726956010e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.234 Order of pole = 2.182 x[1] = -1.988 y[1] (analytic) = -1.1047371469063705683739366141761 y[1] (numeric) = -1.1047371469063705681777617000254 absolute error = 1.961749141507e-19 relative error = 1.7757610007055040154269256993205e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.233 Order of pole = 2.181 x[1] = -1.987 y[1] (analytic) = -1.1045351330735950348852741273846 y[1] (numeric) = -1.1045351330735950346728470406038 absolute error = 2.124270867808e-19 relative error = 1.9232261647456895364443504871777e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.232 Order of pole = 2.181 x[1] = -1.986 y[1] (analytic) = -1.1043329569332154580621923897538 y[1] (numeric) = -1.1043329569332154578335288968569 absolute error = 2.286634928969e-19 relative error = 2.0706028146792727299847217806878e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.231 Order of pole = 2.181 x[1] = -1.985 y[1] (analytic) = -1.1041306183060925663556967489111 y[1] (numeric) = -1.1041306183060925661108128435286 absolute error = 2.448839053825e-19 relative error = 2.2178889102648910435025902759239e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=3.8MB, alloc=3.0MB, time=0.43 Complex estimate of poles used Radius of convergence = 2.23 Order of pole = 2.181 x[1] = -1.984 y[1] (analytic) = -1.103928117012852246854289065787 y[1] (numeric) = -1.1039281170128522465932009699484 absolute error = 2.610880958386e-19 relative error = 2.3650823981645205049053530009524e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.229 Order of pole = 2.181 x[1] = -1.983 y[1] (analytic) = -1.1037254528738852255345421248616 y[1] (numeric) = -1.103725452873885225257266290284 absolute error = 2.772758345776e-19 relative error = 2.5121812118731877853611007764369e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.229 Order of pole = 2.181 x[1] = -1.982 y[1] (analytic) = -1.1035226257093467471782660653698 y[1] (numeric) = -1.1035226257093467468848191747522 absolute error = 2.934468906176e-19 relative error = 2.6591832716521938062689533612190e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.228 Order of pole = 2.181 x[1] = -1.981 y[1] (analytic) = -1.1033196353391562549566043472836 y[1] (numeric) = -1.1033196353391562546470033156076 absolute error = 3.096010316760e-19 relative error = 2.8060864844558831918618024943446e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.227 Order of pole = 2.181 x[1] = -1.98 y[1] (analytic) = -1.103116481582997069681401512326 y[1] (numeric) = -1.1031164815829970693556634881624 absolute error = 3.257380241636e-19 relative error = 2.9528887438628292194220022456820e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.226 Order of pole = 2.181 x[1] = -1.979 y[1] (analytic) = -1.1029131642603160687241897734317 y[1] (numeric) = -1.1029131642603160683823321402529 absolute error = 3.418576331788e-19 relative error = 3.0995879300078128865233283763186e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.225 Order of pole = 2.181 x[1] = -1.978 y[1] (analytic) = -1.1027096831903233646031462660842 y[1] (numeric) = -1.1027096831903233642451866435831 absolute error = 3.579596225011e-19 relative error = 3.2461819095073419581722278193443e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.224 Order of pole = 2.181 x[1] = -1.977 y[1] (analytic) = -1.1025060381919919832383776219549 y[1] (numeric) = -1.1025060381919919828643338673697 absolute error = 3.740437545852e-19 relative error = 3.3926685353904926545354097900743e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.223 Order of pole = 2.181 x[1] = -1.976 y[1] (analytic) = -1.1023022290840575418758933793661 y[1] (numeric) = -1.1023022290840575414857835888113 absolute error = 3.901097905548e-19 relative error = 3.5390456470269158117835365862643e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.222 Order of pole = 2.181 x[1] = -1.975 y[1] (analytic) = -1.1020982556850179266806346264257 y[1] (numeric) = -1.1020982556850179262744771362293 absolute error = 4.061574901964e-19 relative error = 3.6853110700547256121169712143854e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.221 Order of pole = 2.181 x[1] = -1.974 y[1] (analytic) = -1.1018941178131329699989291813655 y[1] (numeric) = -1.1018941178131329695767425694121 absolute error = 4.221866119534e-19 relative error = 3.8314626163109929947644639472060e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.22 Order of pole = 2.181 x[1] = -1.973 y[1] (analytic) = -1.1016898152864241272907495507763 y[1] (numeric) = -1.101689815286424126852552637857 absolute error = 4.381969129193e-19 relative error = 3.9774980837539544491115631608616e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.22 Order of pole = 2.181 x[1] = -1.972 y[1] (analytic) = -1.1014853479226741537321548702117 y[1] (numeric) = -1.1014853479226741532779667213797 absolute error = 4.541881488320e-19 relative error = 4.1234152563950824103149970834996e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.219 Order of pole = 2.181 x[1] = -1.971 y[1] (analytic) = -1.1012807155394267804883030231387 y[1] (numeric) = -1.1012807155394267800181429490713 absolute error = 4.701600740674e-19 relative error = 4.2692119042246851360524737975573e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.218 Order of pole = 2.181 x[1] = -1.97 y[1] (analytic) = -1.1010759179539863906574241535935 y[1] (numeric) = -1.1010759179539863901713117119608 absolute error = 4.861124416327e-19 relative error = 4.4148857831346601385911432493163e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.217 Order of pole = 2.181 x[1] = -1.969 y[1] (analytic) = -1.1008709549834176948861518352737 y[1] (numeric) = -1.1008709549834176943841068321128 absolute error = 5.020450031609e-19 relative error = 4.5604346348520227046655772509575e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.216 Order of pole = 2.181 x[1] = -1.968 y[1] (analytic) = -1.1006658264445454066566132352894 y[1] (numeric) = -1.1006658264445454061386557263859 absolute error = 5.179575089035e-19 relative error = 4.7058561868559669878826371740109e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.215 Order of pole = 2.181 x[1] = -1.967 y[1] (analytic) = -1.1004605321539539172456847145512 y[1] (numeric) = -1.1004605321539539167118350068264 absolute error = 5.338497077248e-19 relative error = 4.8511481523093340150910677854912e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.214 Order of pole = 2.181 x[1] = -1.966 y[1] (analytic) = -1.1002550719279869703568244389027 y[1] (numeric) = -1.1002550719279869698071030918073 absolute error = 5.497213470954e-19 relative error = 4.9963082299826919522459475781352e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.213 Order of pole = 2.18 x[1] = -1.965 y[1] (analytic) = -1.1000494455827473364248987357562 y[1] (numeric) = -1.1000494455827473358593265626708 absolute error = 5.655721730854e-19 relative error = 5.1413341041755638948767410204896e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.212 Order of pole = 2.18 x[1] = -1.964 y[1] (analytic) = -1.0998436529340964865944241202885 y[1] (numeric) = -1.0998436529340964860130221899299 absolute error = 5.814019303586e-19 relative error = 5.2862234446466189659860117930280e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.211 Order of pole = 2.18 x[1] = -1.963 y[1] (analytic) = -1.0996376937976542663716521333248 y[1] (numeric) = -1.0996376937976542657744417711596 absolute error = 5.972103621652e-19 relative error = 5.4309739065301033591462608764565e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.211 Order of pole = 2.18 x[1] = -1.962 y[1] (analytic) = -1.0994315679887985689509293800305 y[1] (numeric) = -1.0994315679887985683379321696945 absolute error = 6.129972103360e-19 relative error = 5.5755831302657797706532958717589e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.21 Order of pole = 2.18 x[1] = -1.961 y[1] (analytic) = -1.0992252753226650082157704345585 y[1] (numeric) = -1.0992252753226650075870082192829 absolute error = 6.287622152756e-19 relative error = 5.7200487415196493055738324630557e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.209 Order of pole = 2.18 x[1] = -1.96 y[1] (analytic) = -1.0990188156141465914150865810103 y[1] (numeric) = -1.0990188156141465907705814650545 absolute error = 6.445051159558e-19 relative error = 5.8643683511063622385441289684756e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.208 Order of pole = 2.18 x[1] = -1.959 y[1] (analytic) = -1.0988121886778933915150186955938 y[1] (numeric) = -1.0988121886778933908547930456848 absolute error = 6.602256499090e-19 relative error = 6.0085395549114993463003914179808e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=7.6MB, alloc=4.1MB, time=1.00 Complex estimate of poles used Radius of convergence = 2.207 Order of pole = 2.18 x[1] = -1.958 y[1] (analytic) = -1.0986053943283122192268279388266 y[1] (numeric) = -1.0986053943283122185509043856048 absolute error = 6.759235532218e-19 relative error = 6.1525599338155437767702724365673e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.206 Order of pole = 2.18 x[1] = -1.957 y[1] (analytic) = -1.0983984323795662947113033201895 y[1] (numeric) = -1.0983984323795662940197047596613 absolute error = 6.915985605282e-19 relative error = 6.2964270536140828297720055426369e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.205 Order of pole = 2.18 x[1] = -1.956 y[1] (analytic) = -1.0981913026455749189601506209025 y[1] (numeric) = -1.0981913026455749182529002158995 absolute error = 7.072504050030e-19 relative error = 6.4401384649396978491133648956035e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.204 Order of pole = 2.18 x[1] = -1.955 y[1] (analytic) = -1.0979840049400131448548326136238 y[1] (numeric) = -1.0979840049400131441319537952689 absolute error = 7.228788183549e-19 relative error = 6.5836917031809902918569004296665e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.203 Order of pole = 2.18 x[1] = -1.954 y[1] (analytic) = -1.0977765390763114479033360009882 y[1] (numeric) = -1.0977765390763114471648524701681 absolute error = 7.384835308201e-19 relative error = 6.7270842884060272832847936414970e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.202 Order of pole = 2.18 x[1] = -1.953 y[1] (analytic) = -1.0975689048676553966553460081481 y[1] (numeric) = -1.0975689048676553959012817369926 absolute error = 7.540642711555e-19 relative error = 6.8703137252820121984284713478973e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.202 Order of pole = 2.18 x[1] = -1.952 y[1] (analytic) = -1.0973611021269853227963151079938 y[1] (numeric) = -1.0973611021269853220266943413622 absolute error = 7.696207666316e-19 relative error = 7.0133775029920861855828160278417e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.201 Order of pole = 2.18 x[1] = -1.951 y[1] (analytic) = -1.0971531306669959909209179316523 y[1] (numeric) = -1.0971531306669959901357651886261 absolute error = 7.851527430262e-19 relative error = 7.1562730951592824017131774574135e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.2 Order of pole = 2.179 x[1] = -1.95 y[1] (analytic) = -1.0969449903001362679863900213251 y[1] (numeric) = -1.0969449903001362671857300967081 absolute error = 8.006599246170e-19 relative error = 7.2989979597603212466627539938224e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.199 Order of pole = 2.179 x[1] = -1.949 y[1] (analytic) = -1.0967366808386087924462537176792 y[1] (numeric) = -1.0967366808386087916301116835037 absolute error = 8.161420341755e-19 relative error = 7.4415495390511158313109102718775e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.198 Order of pole = 2.179 x[1] = -1.948 y[1] (analytic) = -1.0965282020943696430649401399777 y[1] (numeric) = -1.0965282020943696422333413470185 absolute error = 8.315987929592e-19 relative error = 7.5839252594766437938200932750913e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.197 Order of pole = 2.179 x[1] = -1.947 y[1] (analytic) = -1.0963195538791280074138219140809 y[1] (numeric) = -1.0963195538791280065667919933752 absolute error = 8.470299207057e-19 relative error = 7.7261225315980014211798114951304e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.196 Order of pole = 2.179 x[1] = -1.946 y[1] (analytic) = -1.0961107360043458500491770314935 y[1] (numeric) = -1.0961107360043458491867418958688 absolute error = 8.624351356247e-19 relative error = 7.8681387500001699178926572017978e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.195 Order of pole = 2.179 x[1] = -1.945 y[1] (analytic) = -1.095901748281237580372609981937 y[1] (numeric) = -1.0959017482812375794947958275448 absolute error = 8.778141543922e-19 relative error = 8.0099712932197048148524575130745e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.194 Order of pole = 2.179 x[1] = -1.944 y[1] (analytic) = -1.0956925905207697201744620926103 y[1] (numeric) = -1.0956925905207697192812954004681 absolute error = 8.931666921422e-19 relative error = 8.1516175236494794796776155453309e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.194 Order of pole = 2.179 x[1] = -1.943 y[1] (analytic) = -1.0954832625336605708607488295345 y[1] (numeric) = -1.0954832625336605699522563670736 absolute error = 9.084924624609e-19 relative error = 8.2930747874660936396214524691229e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.193 Order of pole = 2.179 x[1] = -1.942 y[1] (analytic) = -1.0952737641303798803641676702742 y[1] (numeric) = -1.0952737641303798794403764928953 absolute error = 9.237911773789e-19 relative error = 8.4343404145388912153306677844882e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.192 Order of pole = 2.179 x[1] = -1.941 y[1] (analytic) = -1.0950640951211485097397260430628 y[1] (numeric) = -1.0950640951211485088006634956984 absolute error = 9.390625473644e-19 relative error = 8.5754117183479581164767908429565e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.191 Order of pole = 2.179 x[1] = -1.94 y[1] (analytic) = -1.094854255315938099445544745049 y[1] (numeric) = -1.0948542553159380984912384637331 absolute error = 9.543062813159e-19 relative error = 8.7162859958974111748164642175052e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.19 Order of pole = 2.179 x[1] = -1.939 y[1] (analytic) = -1.0946442445244707353093982021949 y[1] (numeric) = -1.0946442445244707343398761156395 absolute error = 9.695220865554e-19 relative error = 8.8569605276331068886212029957291e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.189 Order of pole = 2.178 x[1] = -1.938 y[1] (analytic) = -1.0944340625562186141815589154218 y[1] (numeric) = -1.0944340625562186131968492466008 absolute error = 9.847096688210e-19 relative error = 8.9974325773547246564332015142652e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.188 Order of pole = 2.178 x[1] = -1.937 y[1] (analytic) = -1.0942237092204037092745194520772 y[1] (numeric) = -1.0942237092204037082746507198175 absolute error = 9.998687322597e-19 relative error = 9.1376993921295276556095262471707e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.187 Order of pole = 2.178 x[1] = -1.936 y[1] (analytic) = -1.0940131843259974351901713888221 y[1] (numeric) = -1.0940131843259974341751724094018 absolute error = 1.0149989794203e-18 relative error = 9.2777582022068891463797740087212e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.186 Order of pole = 2.178 x[1] = -1.935 y[1] (analytic) = -1.0938024876817203126350266917691 y[1] (numeric) = -1.093802487681720311604926580523 absolute error = 1.0301001112461e-18 relative error = 9.4176062209308420989112763564650e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.185 Order of pole = 2.178 x[1] = -1.934 y[1] (analytic) = -1.0935916190960416328240731322788 y[1] (numeric) = -1.0935916190960416317789013052112 absolute error = 1.0451718270676e-18 relative error = 9.5572406446524779038151889085505e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.185 Order of pole = 2.178 x[1] = -1.933 y[1] (analytic) = -1.0933805783771791215738614824 y[1] (numeric) = -1.0933805783771791205136476578048 absolute error = 1.0602138245952e-18 relative error = 9.6966586526421935466232821650146e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.184 Order of pole = 2.178 x[1] = -1.932 memory used=11.4MB, alloc=4.2MB, time=1.57 y[1] (analytic) = -1.093169365333098603085428412664 y[1] (numeric) = -1.0931693653330986020102026127523 absolute error = 1.0752257999117e-18 relative error = 9.8358574069999570812898239146072e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.183 Order of pole = 2.178 x[1] = -1.931 y[1] (analytic) = -1.0929579797715136634176652269667 y[1] (numeric) = -1.0929579797715136623274577795011 absolute error = 1.0902074474656e-18 relative error = 9.9748340525727377832851990829889e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.182 Order of pole = 2.178 x[1] = -1.93 y[1] (analytic) = -1.0927464214998853136517488147424 y[1] (numeric) = -1.0927464214998853125465903546796 absolute error = 1.1051584600628e-18 relative error = 1.0113585716857147255561698210411e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.181 Order of pole = 2.178 x[1] = -1.929 y[1] (analytic) = -1.0925346903254216527472574797095 y[1] (numeric) = -1.0925346903254216516271789508498 absolute error = 1.1200785288597e-18 relative error = 1.0252109509914730102654838938593e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.18 Order of pole = 2.178 x[1] = -1.928 y[1] (analytic) = -1.0923227860550775300906006172872 y[1] (numeric) = -1.0923227860550775289556332739314 absolute error = 1.1349673433558e-18 relative error = 1.0390402524282526769807195545216e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.179 Order of pole = 2.177 x[1] = -1.927 y[1] (analytic) = -1.0921107084955542077363975595155 y[1] (numeric) = -1.0921107084955542065865729681296 absolute error = 1.1498245913859e-18 relative error = 1.0528461834879817364388696722703e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.178 Order of pole = 2.177 x[1] = -1.926 y[1] (analytic) = -1.0918984574532990223424472870959 y[1] (numeric) = -1.0918984574532990211777973279828 absolute error = 1.1646499591131e-18 relative error = 1.0666284498922030864828159716568e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.177 Order of pole = 2.177 x[1] = -1.925 y[1] (analytic) = -1.0916860327345050467989371231669 y[1] (numeric) = -1.0916860327345050456194939921466 absolute error = 1.1794431310203e-18 relative error = 1.0803867555820760703204045142362e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.176 Order of pole = 2.177 x[1] = -1.924 y[1] (analytic) = -1.0914734341451107515525449727968 y[1] (numeric) = -1.0914734341451107503583411828928 absolute error = 1.1942037899040e-18 relative error = 1.0941208027104682678235576413712e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.176 Order of pole = 2.177 x[1] = -1.923 y[1] (analytic) = -1.0912606614907996656260961560552 y[1] (numeric) = -1.0912606614907996644171645391897 absolute error = 1.2089316168655e-18 relative error = 1.1078302916316501060938780944288e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.175 Order of pole = 2.177 x[1] = -1.922 y[1] (analytic) = -1.0910477145770000373344424010914 y[1] (numeric) = -1.0910477145770000361108161097877 absolute error = 1.2236262913037e-18 relative error = 1.1215149208924384848433207736157e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.174 Order of pole = 2.177 x[1] = -1.921 y[1] (analytic) = -1.0908345932088844946972371170395 y[1] (numeric) = -1.0908345932088844934589496261316 absolute error = 1.2382874909079e-18 relative error = 1.1351743872233245831172591556905e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.173 Order of pole = 2.177 x[1] = -1.92 y[1] (analytic) = -1.0906212971913697055492876549513 y[1] (numeric) = -1.090621297191369704296372763302 absolute error = 1.2529148916493e-18 relative error = 1.1488083855283938009591965130233e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.172 Order of pole = 2.177 x[1] = -1.919 y[1] (analytic) = -1.0904078263291160373491718884929 y[1] (numeric) = -1.0904078263291160360816637207192 absolute error = 1.2675081677737e-18 relative error = 1.1624166088763288571057636749791e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.171 Order of pole = 2.177 x[1] = -1.918 y[1] (analytic) = -1.0901941804265272166868131049712 y[1] (numeric) = -1.0901941804265272154047461131772 absolute error = 1.2820669917940e-18 relative error = 1.1759987484912133056689655382102e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.17 Order of pole = 2.176 x[1] = -1.917 y[1] (analytic) = -1.0899803592877499884907138915571 y[1] (numeric) = -1.0899803592877499871941228570752 absolute error = 1.2965910344819e-18 relative error = 1.1895544937425846846076005917016e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.169 Order of pole = 2.176 x[1] = -1.916 y[1] (analytic) = -1.0897663627166737749355564314937 y[1] (numeric) = -1.0897663627166737736244764666332 absolute error = 1.3110799648605e-18 relative error = 1.2030835321362961866325965688322e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.168 Order of pole = 2.176 x[1] = -1.915 y[1] (analytic) = -1.0895521905169303340508833907792 y[1] (numeric) = -1.0895521905169303327253499405831 absolute error = 1.3255334501961e-18 relative error = 1.2165855493046276430287211545341e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.167 Order of pole = 2.176 x[1] = -1.914 y[1] (analytic) = -1.0893378424918934180315803774641 y[1] (numeric) = -1.0893378424918934166916292214735 absolute error = 1.3399511559906e-18 relative error = 1.2300602289969299254124246802280e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.167 Order of pole = 2.176 x[1] = -1.913 y[1] (analytic) = -1.089123318444678431250887793451 y[1] (numeric) = -1.0891233184446784298965550474773 absolute error = 1.3543327459737e-18 relative error = 1.2435072530700689170771211327873e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.166 Order of pole = 2.176 x[1] = -1.912 y[1] (analytic) = -1.088908618178142087976676772703 y[1] (numeric) = -1.0889086181781420866079988906084 absolute error = 1.3686778820946e-18 relative error = 1.2569263014783932256672038954508e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.165 Order of pole = 2.176 x[1] = -1.911 y[1] (analytic) = -1.0886937414948820697917308102142 y[1] (numeric) = -1.0886937414948820684087445856999 absolute error = 1.3829862245143e-18 relative error = 1.2703170522642353171053501469060e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.164 Order of pole = 2.176 x[1] = -1.91 y[1] (analytic) = -1.0884786881972366827187816331298 y[1] (numeric) = -1.0884786881972366813215242015322 absolute error = 1.3972574315976e-18 relative error = 1.2836791815481199173982248751446e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.163 Order of pole = 2.176 x[1] = -1.909 y[1] (analytic) = -1.0882634580872845140510548491992 y[1] (numeric) = -1.0882634580872845126395636892942 absolute error = 1.4114911599050e-18 relative error = 1.2970123635188630087513661069925e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.162 Order of pole = 2.176 x[1] = -1.908 y[1] (analytic) = -1.0880480509668440888890879284541 y[1] (numeric) = -1.0880480509668440874634008642696 absolute error = 1.4256870641845e-18 relative error = 1.3103162704235612198981324401481e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.161 Order of pole = 2.175 x[1] = -1.907 y[1] (analytic) = -1.0878324666374735263845901318031 y[1] (numeric) = -1.0878324666374735249447453344393 absolute error = 1.4398447973638e-18 relative error = 1.3235905725579310391919273610171e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.16 Order of pole = 2.175 x[1] = -1.906 y[1] (analytic) = -1.0876167049004701956921210952779 y[1] (numeric) = -1.0876167049004701942381570847358 absolute error = 1.4539640105421e-18 relative error = 1.3368349382562627334751917112379e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.159 Order of pole = 2.175 memory used=15.2MB, alloc=4.3MB, time=2.14 x[1] = -1.905 y[1] (analytic) = -1.0874007655568703716293719111304 y[1] (numeric) = -1.0874007655568703701613275581486 absolute error = 1.4680443529818e-18 relative error = 1.3500490338812642759035265642424e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.159 Order of pole = 2.175 x[1] = -1.904 y[1] (analytic) = -1.0871846484074488900468397170265 y[1] (numeric) = -1.0871846484074488885647542449259 absolute error = 1.4820854721006e-18 relative error = 1.3632325238142549832033038561266e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.158 Order of pole = 2.175 x[1] = -1.903 y[1] (analytic) = -1.0869683532527188029076940123762 y[1] (numeric) = -1.0869683532527188014116069989133 absolute error = 1.4960870134629e-18 relative error = 1.3763850704446973100211262557266e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.157 Order of pole = 2.175 x[1] = -1.902 y[1] (analytic) = -1.0867518798929310330786401665586 y[1] (numeric) = -1.0867518798929310315685915457867 absolute error = 1.5100486207719e-18 relative error = 1.3895063341603540706359163723228e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.156 Order of pole = 2.175 x[1] = -1.901 y[1] (analytic) = -1.0865352281280740288325928675998 y[1] (numeric) = -1.0865352281280740273086229317388 absolute error = 1.5239699358610e-18 relative error = 1.4025959733367834097233579476990e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.155 Order of pole = 2.175 x[1] = -1.9 y[1] (analytic) = -1.0863183977578734180639795819257 y[1] (numeric) = -1.0863183977578734165261289832396 absolute error = 1.5378505986861e-18 relative error = 1.4156536443276434116936709186366e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.154 Order of pole = 2.175 x[1] = -1.899 y[1] (analytic) = -1.0861013885817916622175014562941 y[1] (numeric) = -1.0861013885817916606658112089777 absolute error = 1.5516902473164e-18 relative error = 1.4286790014535976902453523248051e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.153 Order of pole = 2.174 x[1] = -1.898 y[1] (analytic) = -1.0858842003990277099311864921022 y[1] (numeric) = -1.0858842003990277083656979741755 absolute error = 1.5654885179267e-18 relative error = 1.4416716969925826752764634892061e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.152 Order of pole = 2.174 x[1] = -1.897 y[1] (analytic) = -1.085666833008516650394577260115 y[1] (numeric) = -1.0856668330085166488153322153263 absolute error = 1.5792450447887e-18 relative error = 1.4546313811691357187049679497967e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.151 Order of pole = 2.174 x[1] = -1.896 y[1] (analytic) = -1.0854492862089293664229029004597 y[1] (numeric) = -1.0854492862089293648299434401972 absolute error = 1.5929594602625e-18 relative error = 1.4675577021438881844748168105701e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.15 Order of pole = 2.174 x[1] = -1.895 y[1] (analytic) = -1.0852315597986721872480926686421 y[1] (numeric) = -1.0852315597986721856414612738534 absolute error = 1.6066313947887e-18 relative error = 1.4804503060035922858671702635047e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.15 Order of pole = 2.174 x[1] = -1.894 y[1] (analytic) = -1.0850136535758865410274958435374 y[1] (numeric) = -1.0850136535758865394072353666584 absolute error = 1.6202604768790e-18 relative error = 1.4933088367497469078560938481398e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.149 Order of pole = 2.174 x[1] = -1.893 y[1] (analytic) = -1.0847955673384486070711804079716 y[1] (numeric) = -1.0847955673384486054373340748634 absolute error = 1.6338463331082e-18 relative error = 1.5061329362884937062515968025950e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.148 Order of pole = 2.174 x[1] = -1.892 y[1] (analytic) = -1.0845773008839689677886905468049 y[1] (numeric) = -1.084577300883968966141301958699 absolute error = 1.6473885881059e-18 relative error = 1.5189222444202177857203713875773e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.147 Order of pole = 2.174 x[1] = -1.891 y[1] (analytic) = -1.0843588540097922603561506815363 y[1] (numeric) = -1.0843588540097922586952638169893 absolute error = 1.6608868645470e-18 relative error = 1.5316763988280225043667183585479e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.146 Order of pole = 2.173 x[1] = -1.89 y[1] (analytic) = -1.084140226512996828104611474551 y[1] (numeric) = -1.0841402265129968264302706914067 absolute error = 1.6743407831443e-18 relative error = 1.5443950350681206488777069888898e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.145 Order of pole = 2.173 x[1] = -1.889 y[1] (analytic) = -1.0839214181903943716305409903873 y[1] (numeric) = -1.0839214181903943699427910277487 absolute error = 1.6877499626386e-18 relative error = 1.5570777865579007806342976573090e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.144 Order of pole = 2.173 x[1] = -1.888 y[1] (analytic) = -1.0837024288385295996293719960113 y[1] (numeric) = -1.0837024288385295979282579762206 absolute error = 1.7011140197907e-18 relative error = 1.5697242845657255684718275299100e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.143 Order of pole = 2.173 x[1] = -1.887 y[1] (analytic) = -1.0834832582536798794530242172078 y[1] (numeric) = -1.0834832582536798777385916478351 absolute error = 1.7144325693727e-18 relative error = 1.5823341582000648333907204700837e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.142 Order of pole = 2.173 x[1] = -1.886 y[1] (analytic) = -1.0832639062318548873923282440222 y[1] (numeric) = -1.0832639062318548856646230198633 absolute error = 1.7277052241589e-18 relative error = 1.5949070343982392496869216738961e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.142 Order of pole = 2.173 x[1] = -1.885 y[1] (analytic) = -1.0830443725687962586852856948912 y[1] (numeric) = -1.0830443725687962569443540999739 absolute error = 1.7409315949173e-18 relative error = 1.6074425379156974174110484301774e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.141 Order of pole = 2.173 x[1] = -1.884 y[1] (analytic) = -1.0828246570599772372521082068612 y[1] (numeric) = -1.0828246570599772354979969164606 absolute error = 1.7541112904006e-18 relative error = 1.6199402913148111447314062116860e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.14 Order of pole = 2.173 x[1] = -1.883 y[1] (analytic) = -1.0826047595006023251579858182959 y[1] (numeric) = -1.0826047595006023233907419009585 absolute error = 1.7672439173374e-18 relative error = 1.6323999149538347881827591347395e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.139 Order of pole = 2.173 x[1] = -1.882 y[1] (analytic) = -1.0823846796856069318045433508962 y[1] (numeric) = -1.0823846796856069300242142704731 absolute error = 1.7803290804231e-18 relative error = 1.6448210269755668837656224401979e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.138 Order of pole = 2.172 x[1] = -1.881 y[1] (analytic) = -1.0821644174096570228509514798842 y[1] (numeric) = -1.0821644174096570210575850975728 absolute error = 1.7933663823114e-18 relative error = 1.6572032432965452541692620225349e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.137 Order of pole = 2.172 x[1] = -1.88 y[1] (analytic) = -1.0819439724671487688656673050121 y[1] (numeric) = -1.0819439724671487670593118814071 absolute error = 1.8063554236050e-18 relative error = 1.6695461775954823274082529739656e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.136 Order of pole = 2.172 x[1] = -1.879 y[1] (analytic) = -1.0817233446522081937097874008434 y[1] (numeric) = -1.0817233446522081918904915979968 absolute error = 1.8192958028466e-18 relative error = 1.6818494413019564213052943891577e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.135 Order of pole = 2.172 x[1] = -1.878 memory used=19.0MB, alloc=4.3MB, time=2.73 y[1] (analytic) = -1.0815025337586908226530045326886 y[1] (numeric) = -1.0815025337586908208208174161786 absolute error = 1.8321871165100e-18 relative error = 1.6941126435851743721912372011085e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.134 Order of pole = 2.172 x[1] = -1.877 y[1] (analytic) = -1.0812815395801813302231674748537 y[1] (numeric) = -1.0812815395801813283781385158626 absolute error = 1.8450289589911e-18 relative error = 1.7063353913426205853718633982469e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.133 Order of pole = 2.172 x[1] = -1.876 y[1] (analytic) = -1.0810603619099931877904516606612 y[1] (numeric) = -1.0810603619099931859326307380627 absolute error = 1.8578209225985e-18 relative error = 1.7185172891883147806383402716343e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.133 Order of pole = 2.172 x[1] = -1.875 y[1] (analytic) = -1.0808390005411683108871567292172 y[1] (numeric) = -1.0808390005411683090165941316725 absolute error = 1.8705625975447e-18 relative error = 1.7306579394416030196809520318933e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.132 Order of pole = 2.172 x[1] = -1.874 y[1] (analytic) = -1.0806174552664767062641554123057 y[1] (numeric) = -1.0806174552664767043809018403691 absolute error = 1.8832535719366e-18 relative error = 1.7427569421152797039042173473330e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.131 Order of pole = 2.171 x[1] = -1.873 y[1] (analytic) = -1.0803957258784161186850266262912 y[1] (numeric) = -1.0803957258784161167891331945245 absolute error = 1.8958934317667e-18 relative error = 1.7548138949043353438144893841755e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.13 Order of pole = 2.171 x[1] = -1.872 y[1] (analytic) = -1.0801738121692116774589140986807 y[1] (numeric) = -1.0801738121692116755504323377772 absolute error = 1.9084817609035e-18 relative error = 1.7668283931739422727358246820302e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.129 Order of pole = 2.171 x[1] = -1.871 y[1] (analytic) = -1.0799517139308155427131603672314 y[1] (numeric) = -1.079951713930815540792142226149 absolute error = 1.9210181410824e-18 relative error = 1.7788000299478809056214509847198e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.128 Order of pole = 2.171 x[1] = -1.87 y[1] (analytic) = -1.0797294309549065514067745413803 y[1] (numeric) = -1.0797294309549065494732723894839 absolute error = 1.9335021518964e-18 relative error = 1.7907283958967588046276008016347e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.127 Order of pole = 2.171 x[1] = -1.869 y[1] (analytic) = -1.0795069630328898630858008115048 y[1] (numeric) = -1.0795069630328898611398674407182 absolute error = 1.9459333707866e-18 relative error = 1.8026130793260221913217000090412e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.126 Order of pole = 2.171 x[1] = -1.868 y[1] (analytic) = -1.0792843099558966053816633312927 y[1] (numeric) = -1.0792843099558966034233519582596 absolute error = 1.9583113730331e-18 relative error = 1.8144536661643154675856749082797e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.125 Order of pole = 2.171 x[1] = -1.867 y[1] (analytic) = -1.0790614715147835192535717824957 y[1] (numeric) = -1.0790614715147835172829360507504 absolute error = 1.9706357317453e-18 relative error = 1.8262497399512624539181316238820e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.125 Order of pole = 2.171 x[1] = -1.866 y[1] (analytic) = -1.07883844750013260397608065976 y[1] (numeric) = -1.0788384475001326019931746419073 absolute error = 1.9829060178527e-18 relative error = 1.8380008818256880613953370946340e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.124 Order of pole = 2.171 x[1] = -1.865 y[1] (analytic) = -1.0786152377022507618729040862557 y[1] (numeric) = -1.0786152377022507598777822861605 absolute error = 1.9951218000952e-18 relative error = 1.8497066705133538563117892267243e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.123 Order of pole = 2.17 x[1] = -1.864 y[1] (analytic) = -1.0783918419111694427980967886686 y[1] (numeric) = -1.0783918419111694407908141436549 absolute error = 2.0072826450137e-18 relative error = 1.8613666823149485950461176093995e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.122 Order of pole = 2.17 x[1] = -1.863 y[1] (analytic) = -1.0781682599166442883657207229581 y[1] (numeric) = -1.0781682599166442863463326060175 absolute error = 2.0193881169406e-18 relative error = 1.8729804910939630347792460226722e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.121 Order of pole = 2.17 x[1] = -1.862 y[1] (analytic) = -1.0779444915081547759291257503268 y[1] (numeric) = -1.0779444915081547738976879723368 absolute error = 2.0314377779900e-18 relative error = 1.8845476682642632494379684172795e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.12 Order of pole = 2.17 x[1] = -1.861 y[1] (analytic) = -1.0777205364749038623109817162831 y[1] (numeric) = -1.0777205364749038602675505282346 absolute error = 2.0434311880485e-18 relative error = 1.8960677827781970434264924514738e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.119 Order of pole = 2.17 x[1] = -1.86 y[1] (analytic) = -1.0774963946058176272852082847049 y[1] (numeric) = -1.07749639460581762522984037994 absolute error = 2.0553679047649e-18 relative error = 1.9075404011136564418485192362501e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.118 Order of pole = 2.17 x[1] = -1.859 y[1] (analytic) = -1.0772720656895449168119579236318 y[1] (numeric) = -1.0772720656895449147447104400906 absolute error = 2.0672474835412e-18 relative error = 1.9189650872623225206704401452608e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.117 Order of pole = 2.17 x[1] = -1.858 y[1] (analytic) = -1.0770475495144569860268165303173 y[1] (numeric) = -1.077047549514456983947747052795 absolute error = 2.0790694775223e-18 relative error = 1.9303414027166802270450173223689e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.116 Order of pole = 2.17 x[1] = -1.857 y[1] (analytic) = -1.0768228458686471419853953200687 y[1] (numeric) = -1.0768228458686471398945618824819 absolute error = 2.0908334375868e-18 relative error = 1.9416689064580301077502903988484e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.116 Order of pole = 2.169 x[1] = -1.856 y[1] (analytic) = -1.0765979545399303861644967867803 y[1] (numeric) = -1.0765979545399303840619578744437 absolute error = 2.1025389123366e-18 relative error = 1.9529471549433619752843922168619e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.115 Order of pole = 2.169 x[1] = -1.855 y[1] (analytic) = -1.0763728753158430567210467730395 y[1] (numeric) = -1.0763728753158430546068613249523 absolute error = 2.1141854480872e-18 relative error = 1.9641757020928539678350635279253e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.114 Order of pole = 2.169 x[1] = -1.854 y[1] (analytic) = -1.0761476079836424705099939644419 y[1] (numeric) = -1.0761476079836424683842213755834 absolute error = 2.1257725888585e-18 relative error = 1.9753540992778120015410944628354e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.113 Order of pole = 2.169 x[1] = -1.853 y[1] (analytic) = -1.0759221523303065648623874465032 y[1] (numeric) = -1.0759221523303065627250875701395 absolute error = 2.1372998763637e-18 relative error = 1.9864818953068195485948872441443e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.112 Order of pole = 2.169 x[1] = -1.852 y[1] (analytic) = -1.0756965081425335391248523335068 y[1] (numeric) = -1.0756965081425335369760854835061 absolute error = 2.1487668500007e-18 relative error = 1.9975586364141854199850874901365e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.111 Order of pole = 2.169 x[1] = -1.851 y[1] (analytic) = -1.0754706752067414959616928969641 y[1] (numeric) = -1.0754706752067414938015198501233 absolute error = 2.1601730468408e-18 relative error = 2.0085838662458577652317767668870e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=22.8MB, alloc=4.3MB, time=3.33 Complex estimate of poles used Radius of convergence = 2.11 Order of pole = 2.169 x[1] = -1.85 y[1] (analytic) = -1.0752446533090680824208620873218 y[1] (numeric) = -1.0752446533090680802493440857022 absolute error = 2.1715180016196e-18 relative error = 2.0195571258473575983222950608513e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.109 Order of pole = 2.169 x[1] = -1.849 y[1] (analytic) = -1.0750184422353701307650458563007 y[1] (numeric) = -1.0750184422353701285822446095738 absolute error = 2.1828012467269e-18 relative error = 2.0304779536507580569800851442320e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.108 Order of pole = 2.168 x[1] = -1.848 y[1] (analytic) = -1.0747920417712232990691202490252 y[1] (numeric) = -1.0747920417712232968750979368293 absolute error = 2.1940223121959e-18 relative error = 2.0413458854609870447241273343426e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.108 Order of pole = 2.168 x[1] = -1.847 y[1] (analytic) = -1.0745654517019217115852488450957 y[1] (numeric) = -1.0745654517019217093800681194019 absolute error = 2.2051807256938e-18 relative error = 2.0521604544434064643769400752323e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.107 Order of pole = 2.168 x[1] = -1.846 y[1] (analytic) = -1.0743386718124775988768977861754 y[1] (numeric) = -1.074338671812477596660621773664 absolute error = 2.2162760125114e-18 relative error = 2.0629211911104359232120790361429e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.106 Order of pole = 2.168 x[1] = -1.845 y[1] (analytic) = -1.0741117018876209377230553347201 y[1] (numeric) = -1.0741117018876209354957476391674 absolute error = 2.2273076955527e-18 relative error = 2.0736276233081504290500127054977e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.105 Order of pole = 2.168 x[1] = -1.844 y[1] (analytic) = -1.073884541711799090793952664386 y[1] (numeric) = -1.0738845417117990885556773690609 absolute error = 2.2382752953251e-18 relative error = 2.0842792762034106851322432201400e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.104 Order of pole = 2.168 x[1] = -1.843 y[1] (analytic) = -1.0736571910691764460995923876043 y[1] (numeric) = -1.0736571910691764438504140576757 absolute error = 2.2491783299286e-18 relative error = 2.0948756722700364663900103799791e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.103 Order of pole = 2.168 x[1] = -1.842 y[1] (analytic) = -1.0734296497436340562124011800399 y[1] (numeric) = -1.0734296497436340539523848649939 absolute error = 2.2600163150460e-18 relative error = 2.1054163312758847725450531489516e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.102 Order of pole = 2.168 x[1] = -1.841 y[1] (analytic) = -1.0732019175187692772653327653487 y[1] (numeric) = -1.0732019175187692749945440014167 absolute error = 2.2707887639320e-18 relative error = 2.1159007702688772653789935811853e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.101 Order of pole = 2.168 x[1] = -1.84 y[1] (analytic) = -1.0729739941778954077267574770421 y[1] (numeric) = -1.0729739941778954054452622896387 absolute error = 2.2814951874034e-18 relative error = 2.1263285035640257315476478857837e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.1 Order of pole = 2.167 x[1] = -1.839 y[1] (analytic) = -1.0727458795040413269534846175545 y[1] (numeric) = -1.0727458795040413246613495237263 absolute error = 2.2921350938282e-18 relative error = 2.1366990427294061683386152501194e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.1 Order of pole = 2.167 x[1] = -1.838 y[1] (analytic) = -1.0725175732799511335232738880207 y[1] (numeric) = -1.0725175732799511312205658989053 absolute error = 2.3027079891154e-18 relative error = 2.1470118965727581471212894308745e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.099 Order of pole = 2.167 x[1] = -1.837 y[1] (analytic) = -1.0722890752880837833482022660042 y[1] (numeric) = -1.0722890752880837810349888892998 absolute error = 2.3132133767044e-18 relative error = 2.1572665711276844674547607175271e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.098 Order of pole = 2.167 x[1] = -1.836 y[1] (analytic) = -1.0720603853106127275702628626984 y[1] (numeric) = -1.0720603853106127252466121051437 absolute error = 2.3236507575547e-18 relative error = 2.1674625696401033784469488360995e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.097 Order of pole = 2.167 x[1] = -1.835 y[1] (analytic) = -1.0718315031294255502405824961646 y[1] (numeric) = -1.0718315031294255479065628660297 absolute error = 2.3340196301349e-18 relative error = 2.1775993925540206858569426378527e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.096 Order of pole = 2.167 x[1] = -1.834 y[1] (analytic) = -1.0716024285261236057836549731896 y[1] (numeric) = -1.0716024285261236034393354827773 absolute error = 2.3443194904123e-18 relative error = 2.1876765374978337878526516454513e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.095 Order of pole = 2.167 x[1] = -1.833 y[1] (analytic) = -1.0713731612820216562479973795565 y[1] (numeric) = -1.0713731612820216538934475477141 absolute error = 2.3545498318424e-18 relative error = 2.1976934992705149904443726694537e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.094 Order of pole = 2.167 x[1] = -1.832 y[1] (analytic) = -1.0711437011781475083446470371482 y[1] (numeric) = -1.0711437011781475059799368917903 absolute error = 2.3647101453579e-18 relative error = 2.2076497698273004120552008819525e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.093 Order of pole = 2.167 x[1] = -1.831 y[1] (analytic) = -1.0709140479952416502749271965605 y[1] (numeric) = -1.0709140479952416479001272772022 absolute error = 2.3747999193583e-18 relative error = 2.2175448382659108174024991509929e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.092 Order of pole = 2.166 x[1] = -1.83 y[1] (analytic) = -1.0706842015137568883489199960067 y[1] (numeric) = -1.0706842015137568859641013563078 absolute error = 2.3848186396989e-18 relative error = 2.2273781908121843216701067217604e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.092 Order of pole = 2.166 x[1] = -1.829 y[1] (analytic) = -1.0704541615138579833960957314775 y[1] (numeric) = -1.0704541615138579810013299417972 absolute error = 2.3947657896803e-18 relative error = 2.2371493108061476035433782537791e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.091 Order of pole = 2.166 x[1] = -1.828 y[1] (analytic) = -1.0702239277754212869695580495882 y[1] (numeric) = -1.0702239277754212845649171995513 absolute error = 2.4046408500369e-18 relative error = 2.2468576786871246312128060636908e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.09 Order of pole = 2.166 x[1] = -1.827 y[1] (analytic) = -1.0699935000780343773453752935366 y[1] (numeric) = -1.0699935000780343749309319946097 absolute error = 2.4144432989269e-18 relative error = 2.2565027719802178342302176020160e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.089 Order of pole = 2.166 x[1] = -1.826 y[1] (analytic) = -1.0697628782009956953184789043136 y[1] (numeric) = -1.0697628782009956928943062923928 absolute error = 2.4241726119208e-18 relative error = 2.2660840652813593496638867634891e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.088 Order of pole = 2.166 x[1] = -1.825 y[1] (analytic) = -1.0695320619233141797966205039994 y[1] (numeric) = -1.0695320619233141773627922420089 absolute error = 2.4338282619905e-18 relative error = 2.2756010302428935799961382401120e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.087 Order of pole = 2.166 x[1] = -1.824 y[1] (analytic) = -1.0693010510237089031938900658457 y[1] (numeric) = -1.0693010510237089007504803463471 absolute error = 2.4434097194986e-18 relative error = 2.2850531355593177065119420544136e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=26.7MB, alloc=4.3MB, time=3.92 Complex estimate of poles used Radius of convergence = 2.086 Order of pole = 2.166 x[1] = -1.823 y[1] (analytic) = -1.0690698452806087066253084071283 y[1] (numeric) = -1.0690698452806087041723919549414 absolute error = 2.4529164521869e-18 relative error = 2.2944398469522449228910389689675e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.085 Order of pole = 2.166 x[1] = -1.822 y[1] (analytic) = -1.068838444472151834904018125674 y[1] (numeric) = -1.0688384444721518324416702005081 absolute error = 2.4623479251659e-18 relative error = 2.3037606271562732007312922209096e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.084 Order of pole = 2.166 x[1] = -1.821 y[1] (analytic) = -1.068606848376185571342608039746 y[1] (numeric) = -1.0686068483761855688709044388429 absolute error = 2.4717036009031e-18 relative error = 2.3130149359037021207757409987970e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.084 Order of pole = 2.165 x[1] = -1.82 y[1] (analytic) = -1.0683750567702658723601171838498 y[1] (numeric) = -1.0683750567702658698791342446374 absolute error = 2.4809829392124e-18 relative error = 2.3222022299102487409454951225047e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.083 Order of pole = 2.165 x[1] = -1.819 y[1] (analytic) = -1.0681430694316570018962754602112 y[1] (numeric) = -1.0681430694316569994060900629687 absolute error = 2.4901853972425e-18 relative error = 2.3313219628597979050847537612608e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.082 Order of pole = 2.165 x[1] = -1.818 y[1] (analytic) = -1.0679108861373311656345491474241 y[1] (numeric) = -1.0679108861373311631352387179581 absolute error = 2.4993104294660e-18 relative error = 2.3403735853897773334413905735248e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.081 Order of pole = 2.165 x[1] = -1.817 y[1] (analytic) = -1.0676785066639681450355706242843 y[1] (numeric) = -1.0676785066639681425272131366165 absolute error = 2.5083574876678e-18 relative error = 2.3493565450758471040521376151447e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.08 Order of pole = 2.165 x[1] = -1.816 y[1] (analytic) = -1.0674459307879549311825428783578 y[1] (numeric) = -1.0674459307879549286652168574239 absolute error = 2.5173260209339e-18 relative error = 2.3582702864169328921011577230376e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.079 Order of pole = 2.165 x[1] = -1.815 y[1] (analytic) = -1.0672131582853853584402206356041 y[1] (numeric) = -1.0672131582853853559140051599638 absolute error = 2.5262154756403e-18 relative error = 2.3671142508203222987817472046603e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.078 Order of pole = 2.165 x[1] = -1.814 y[1] (analytic) = -1.0669801889320597379290812696193 y[1] (numeric) = -1.0669801889320597353940559741779 absolute error = 2.5350252954414e-18 relative error = 2.3758878765862619451000783800730e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.077 Order of pole = 2.165 x[1] = -1.813 y[1] (analytic) = -1.0667470225034844908163100270173 y[1] (numeric) = -1.0667470225034844882725551057589 absolute error = 2.5437549212584e-18 relative error = 2.3845905988925231951678588122279e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.076 Order of pole = 2.165 x[1] = -1.812 y[1] (analytic) = -1.0665136587748717814252355393604 y[1] (numeric) = -1.0665136587748717788728317480919 absolute error = 2.5524037912685e-18 relative error = 2.3932218497796864800351360296348e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.076 Order of pole = 2.165 x[1] = -1.811 y[1] (analytic) = -1.0662800975211391501648630821168 y[1] (numeric) = -1.0662800975211391476038917412243 absolute error = 2.5609713408925e-18 relative error = 2.4017810581348944192864508744361e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.075 Order of pole = 2.164 x[1] = -1.81 y[1] (analytic) = -1.0660463385169091462811645876063 y[1] (numeric) = -1.0660463385169091437117075848224 absolute error = 2.5694570027839e-18 relative error = 2.4102676496769792448706517417181e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.074 Order of pole = 2.164 x[1] = -1.809 y[1] (analytic) = -1.0658123815365089604317960220182 y[1] (numeric) = -1.065812381536508957853935815201 absolute error = 2.5778602068172e-18 relative error = 2.4186810469408085679666154666684e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.073 Order of pole = 2.164 x[1] = -1.808 y[1] (analytic) = -1.0655782263539700570859243966009 y[1] (numeric) = -1.0655782263539700544997440165249 absolute error = 2.5861803800760e-18 relative error = 2.4270206692614112735753478290836e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.072 Order of pole = 2.164 x[1] = -1.807 y[1] (analytic) = -1.0653438727430278067508584002558 y[1] (numeric) = -1.065343872743027804156441453414 absolute error = 2.5944169468418e-18 relative error = 2.4352859327587279110674454353570e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.071 Order of pole = 2.164 x[1] = -1.806 y[1] (analytic) = -1.0651093204771211180271884152658 y[1] (numeric) = -1.0651093204771211154246190866838 absolute error = 2.6025693285820e-18 relative error = 2.4434762503215781452120675545738e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.07 Order of pole = 2.164 x[1] = -1.805 y[1] (analytic) = -1.0648745693293920694941535099859 y[1] (numeric) = -1.0648745693293920668835165660481 absolute error = 2.6106369439378e-18 relative error = 2.4515910315915013240876529024628e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.069 Order of pole = 2.164 x[1] = -1.804 y[1] (analytic) = -1.0646396190726855414269648922663 y[1] (numeric) = -1.0646396190726855388083456835528 absolute error = 2.6186192087135e-18 relative error = 2.4596296829478788021555859756785e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.068 Order of pole = 2.164 x[1] = -1.803 y[1] (analytic) = -1.0644044694795488473478272553968 y[1] (numeric) = -1.0644044694795488447213117195333 absolute error = 2.6265155358635e-18 relative error = 2.4675916074908637845098939478715e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.068 Order of pole = 2.164 x[1] = -1.802 y[1] (analytic) = -1.0641691203222313654124114547175 y[1] (numeric) = -1.0641691203222313627780861192363 absolute error = 2.6343253354812e-18 relative error = 2.4754762050260619500108379901496e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.067 Order of pole = 2.164 x[1] = -1.801 y[1] (analytic) = -1.0639335713726841696335440179519 y[1] (numeric) = -1.0639335713726841669914960031651 absolute error = 2.6420480147868e-18 relative error = 2.4832828720481457435518166078294e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.066 Order of pole = 2.164 x[1] = -1.8 y[1] (analytic) = -1.0636978224025596609438911160525 y[1] (numeric) = -1.0636978224025596582942081379373 absolute error = 2.6496829781152e-18 relative error = 2.4910110017245287315613880665120e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.065 Order of pole = 2.163 x[1] = -1.799 y[1] (analytic) = -1.0634618731832111980994268041349 y[1] (numeric) = -1.0634618731832111954421971772302 absolute error = 2.6572296269047e-18 relative error = 2.4986599838797582456539041593327e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.064 Order of pole = 2.163 x[1] = -1.798 y[1] (analytic) = -1.0632257234856927284254875841644 y[1] (numeric) = -1.0632257234856927257608002244803 absolute error = 2.6646873596841e-18 relative error = 2.5062292049783700533874450458421e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.063 Order of pole = 2.163 x[1] = -1.797 y[1] (analytic) = -1.0629893730807584184072276426995 y[1] (numeric) = -1.0629893730807584157351720706384 absolute error = 2.6720555720611e-18 relative error = 2.5137180481089307241014340675891e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.062 Order of pole = 2.163 memory used=30.5MB, alloc=4.3MB, time=4.51 x[1] = -1.796 y[1] (analytic) = -1.0627528217388622841263014784297 y[1] (numeric) = -1.0627528217388622814469678217194 absolute error = 2.6793336567103e-18 relative error = 2.5211258929676698210824565858743e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.061 Order of pole = 2.163 x[1] = -1.795 y[1] (analytic) = -1.0625160692301578215456130557209 y[1] (numeric) = -1.0625160692301578188590920523602 absolute error = 2.6865210033607e-18 relative error = 2.5284521158416070685661316344688e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.061 Order of pole = 2.163 x[1] = -1.794 y[1] (analytic) = -1.0622791153244976366439831021563 y[1] (numeric) = -1.0622791153244976339503661033724 absolute error = 2.6936169987839e-18 relative error = 2.5356960895923032541969046961040e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.06 Order of pole = 2.163 x[1] = -1.793 y[1] (analytic) = -1.0620419597914330754025987103692 y[1] (numeric) = -1.0620419597914330727019776835875 absolute error = 2.7006210267817e-18 relative error = 2.5428571836390116850769229065200e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.059 Order of pole = 2.163 x[1] = -1.792 y[1] (analytic) = -1.061804602400213853645122007572 y[1] (numeric) = -1.0618046024002138509375895393983 absolute error = 2.7075324681737e-18 relative error = 2.5499347639417942375608483436963e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.058 Order of pole = 2.163 x[1] = -1.791 y[1] (analytic) = -1.0615670429197876867333473203349 y[1] (numeric) = -1.0615670429197876840189966195498 absolute error = 2.7143507007851e-18 relative error = 2.5569281929847902458064837962444e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.057 Order of pole = 2.163 x[1] = -1.79 y[1] (analytic) = -1.061329281118799919120308987613 y[1] (numeric) = -1.0613292811187999163992338881785 absolute error = 2.7210750994345e-18 relative error = 2.5638368297594499251235752403758e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.056 Order of pole = 2.163 x[1] = -1.789 y[1] (analytic) = -1.0610913167655931537627547620153 y[1] (numeric) = -1.061091316765593151035049726094 absolute error = 2.7277050359213e-18 relative error = 2.5706600297473552036626651244828e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.055 Order of pole = 2.163 x[1] = -1.788 y[1] (analytic) = -1.0608531496282068813949125881078 y[1] (numeric) = -1.0608531496282068786606727090944 absolute error = 2.7342398790134e-18 relative error = 2.5773971449032870594647727370328e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.054 Order of pole = 2.163 x[1] = -1.787 y[1] (analytic) = -1.0606147794743771096654914573981 y[1] (numeric) = -1.0606147794743771069248124629634 absolute error = 2.7406789944347e-18 relative error = 2.5840475236380682231642771418130e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.053 Order of pole = 2.162 x[1] = -1.786 y[1] (analytic) = -1.0603762060715359921398700128174 y[1] (numeric) = -1.0603762060715359893928482679649 absolute error = 2.7470217448525e-18 relative error = 2.5906105108012750965687505682784e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.053 Order of pole = 2.162 x[1] = -1.785 y[1] (analytic) = -1.0601374291868114571694396112554 y[1] (numeric) = -1.0601374291868114544161721213903 absolute error = 2.7532674898651e-18 relative error = 2.5970854476641015597311985787659e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.052 Order of pole = 2.162 x[1] = -1.784 y[1] (analytic) = -1.0598984485870268366300816512671 y[1] (numeric) = -1.059898448587026833870666065278 absolute error = 2.7594155859891e-18 relative error = 2.6034716719019030587234108441678e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.051 Order of pole = 2.162 x[1] = -1.783 y[1] (analytic) = -1.0596592640387004945317721347226 y[1] (numeric) = -1.059659264038700491766306748076 absolute error = 2.7654653866466e-18 relative error = 2.6097685175766091049399209226093e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.05 Order of pole = 2.162 x[1] = -1.782 y[1] (analytic) = -1.0594198753080454555013196561638 y[1] (numeric) = -1.0594198753080454527299034140106 absolute error = 2.7714162421532e-18 relative error = 2.6159753151198533937960117429984e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.049 Order of pole = 2.162 x[1] = -1.781 y[1] (analytic) = -1.0591802821609690331402563022281 y[1] (numeric) = -1.0591802821609690303629888025237 absolute error = 2.7772674997044e-18 relative error = 2.6220913913145566695271111282193e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.048 Order of pole = 2.162 x[1] = -1.78 y[1] (analytic) = -1.0589404843630724582599142959644 y[1] (numeric) = -1.0589404843630724554768957926011 absolute error = 2.7830185033633e-18 relative error = 2.6281160692776983660348590769357e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.047 Order of pole = 2.162 x[1] = -1.779 y[1] (analytic) = -1.0587004816796505069957346374499 y[1] (numeric) = -1.0587004816796505042070660434021 absolute error = 2.7886685940478e-18 relative error = 2.6340486684425786022114423929927e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.046 Order of pole = 2.162 x[1] = -1.778 y[1] (analytic) = -1.0584602738756911288028674730938 y[1] (numeric) = -1.0584602738756911260086503635762 absolute error = 2.7942171095176e-18 relative error = 2.6398885045408530467774170873347e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.046 Order of pole = 2.162 x[1] = -1.777 y[1] (analytic) = -1.0582198607158750743351374716394 y[1] (numeric) = -1.0582198607158750715354740872778 absolute error = 2.7996633843616e-18 relative error = 2.6456348895849071730280807245943e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.045 Order of pole = 2.162 x[1] = -1.776 y[1] (analytic) = -1.0579792419645755232094610954174 y[1] (numeric) = -1.0579792419645755204044543454328 absolute error = 2.8050067499846e-18 relative error = 2.6512871318495306162795755097376e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.044 Order of pole = 2.162 x[1] = -1.775 y[1] (analytic) = -1.057738417385857711657816331125 y[1] (numeric) = -1.0577384173858577088475697965305 absolute error = 2.8102465345945e-18 relative error = 2.6568445358540249060130268433692e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.043 Order of pole = 2.162 x[1] = -1.774 y[1] (analytic) = -1.0574973867434785600688791855726 y[1] (numeric) = -1.057497386743478557253497122383 absolute error = 2.8153820631896e-18 relative error = 2.6623064023443669008963885757271e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.042 Order of pole = 2.162 x[1] = -1.773 y[1] (analytic) = -1.057256149800886300421455058718 y[1] (numeric) = -1.0572561498008862976010424011733 absolute error = 2.8204126575447e-18 relative error = 2.6676720282741983073939805109692e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.041 Order of pole = 2.162 x[1] = -1.772 y[1] (analytic) = -1.0570147063212201036118469791709 y[1] (numeric) = -1.0570147063212201007865093429718 absolute error = 2.8253376361991e-18 relative error = 2.6729407067875720824809154543538e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.04 Order of pole = 2.162 x[1] = -1.771 y[1] (analytic) = -1.0567730560673097066773166264532 y[1] (numeric) = -1.0567730560673097038471603120105 absolute error = 2.8301563144427e-18 relative error = 2.6781117271998625646196409526960e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.039 Order of pole = 2.162 x[1] = -1.77 y[1] (analytic) = -1.0565311988016750399178080699299 y[1] (numeric) = -1.0565311988016750370829400656268 absolute error = 2.8348680043031e-18 relative error = 2.6831843749795811132132847953961e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.039 Order of pole = 2.161 x[1] = -1.769 memory used=34.3MB, alloc=4.3MB, time=5.10 y[1] (analytic) = -1.0562891342865258539181182267354 y[1] (numeric) = -1.0562891342865258510786462122033 absolute error = 2.8394720145321e-18 relative error = 2.6881579317295838557252624610820e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.038 Order of pole = 2.161 x[1] = -1.768 y[1] (analytic) = -1.0560468622837613464727121804917 y[1] (numeric) = -1.0560468622837613436287445298987 absolute error = 2.8439676505930e-18 relative error = 2.6930316751689961517639375355715e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.037 Order of pole = 2.161 x[1] = -1.767 y[1] (analytic) = -1.055804382554969789415395709414 y[1] (numeric) = -1.0558043825549697865670414947673 absolute error = 2.8483542146467e-18 relative error = 2.6978048791139605199652394051728e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.036 Order of pole = 2.161 x[1] = -1.766 y[1] (analytic) = -1.0555616948614281553560716468066 y[1] (numeric) = -1.0555616948614281525034406412678 absolute error = 2.8526310055388e-18 relative error = 2.7024768134592902190795198461831e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.035 Order of pole = 2.161 x[1] = -1.765 y[1] (analytic) = -1.0553187989641017443268210392272 y[1] (numeric) = -1.0553187989641017414700237204412 absolute error = 2.8567973187860e-18 relative error = 2.7070467441594189360603643483614e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.034 Order of pole = 2.161 x[1] = -1.764 y[1] (analytic) = -1.0550756946236438103395644780314 y[1] (numeric) = -1.055075694623643807478712031469 absolute error = 2.8608524465624e-18 relative error = 2.7115139332092140101036072528731e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.033 Order of pole = 2.161 x[1] = -1.763 y[1] (analytic) = -1.0548323816003951878575734588655 y[1] (numeric) = -1.0548323816003951849927777811788 absolute error = 2.8647956776867e-18 relative error = 2.7158776386256008716129841308777e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.032 Order of pole = 2.161 x[1] = -1.762 y[1] (analytic) = -1.0545888596543839181831161712323 y[1] (numeric) = -1.0545888596543839153144898736241 absolute error = 2.8686262976082e-18 relative error = 2.7201371144280085904693634887054e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.032 Order of pole = 2.161 x[1] = -1.761 y[1] (analytic) = -1.0543451285453248757635367367935 y[1] (numeric) = -1.0543451285453248728911931484003 absolute error = 2.8723435883932e-18 relative error = 2.7242916106191520390801915056002e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.031 Order of pole = 2.161 x[1] = -1.76 y[1] (analytic) = -1.0541011880326193944180816008678 y[1] (numeric) = -1.0541011880326193915421347721561 absolute error = 2.8759468287117e-18 relative error = 2.7283403731660562261513365011097e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.03 Order of pole = 2.161 x[1] = -1.759 y[1] (analytic) = -1.0538570378753548934878015369111 y[1] (numeric) = -1.0538570378753548906083662430877 absolute error = 2.8794352938234e-18 relative error = 2.7322826439803741778307172744683e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.029 Order of pole = 2.161 x[1] = -1.758 y[1] (analytic) = -1.0536126778323045039108725489141 y[1] (numeric) = -1.0536126778323045010280642933496 absolute error = 2.8828082555645e-18 relative error = 2.7361176608994207722534175556901e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.028 Order of pole = 2.161 x[1] = -1.757 y[1] (analytic) = -1.0533681076619266942256938518897 y[1] (numeric) = -1.0533681076619266913396288695561 absolute error = 2.8860649823336e-18 relative error = 2.7398446576663096968617560136630e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.027 Order of pole = 2.161 x[1] = -1.756 y[1] (analytic) = -1.053123327122364896504136076245 y[1] (numeric) = -1.0531233271223648936149313371671 absolute error = 2.8892047390779e-18 relative error = 2.7434628639103314160988777902248e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.026 Order of pole = 2.161 x[1] = -1.755 y[1] (analytic) = -1.0528783359714471322173278781071 y[1] (numeric) = -1.0528783359714471293251010908276 absolute error = 2.8922267872795e-18 relative error = 2.7469715051273824615844978181611e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.025 Order of pole = 2.161 x[1] = -1.754 y[1] (analytic) = -1.0526331339666856380363842448938 y[1] (numeric) = -1.0526331339666856351412538599521 absolute error = 2.8951303849417e-18 relative error = 2.7503698026603510042461055267846e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.025 Order of pole = 2.161 x[1] = -1.753 y[1] (analytic) = -1.0523877208652764915704949638652 y[1] (numeric) = -1.0523877208652764886725801772904 absolute error = 2.8979147865748e-18 relative error = 2.7536569736789834024540142347739e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.024 Order of pole = 2.161 x[1] = -1.752 y[1] (analytic) = -1.0521420964240992370448069713523 y[1] (numeric) = -1.0521420964240992341442277281699 absolute error = 2.9005792431824e-18 relative error = 2.7568322311601811948644189859233e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.023 Order of pole = 2.161 x[1] = -1.751 y[1] (analytic) = -1.0518962603997165109205496221103 y[1] (numeric) = -1.051896260399716508017426619863 absolute error = 2.9031230022473e-18 relative error = 2.7598947838678735168090712637251e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.022 Order of pole = 2.161 x[1] = -1.75 y[1] (analytic) = -1.0516502125483736674598673120863 y[1] (numeric) = -1.0516502125483736645543220043688 absolute error = 2.9055453077175e-18 relative error = 2.7628438363329395618960960479748e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.021 Order of pole = 2.161 x[1] = -1.749 y[1] (analytic) = -1.0514039526259984042378393540978 y[1] (numeric) = -1.0514039526259984013299939541056 absolute error = 2.9078453999922e-18 relative error = 2.7656785888330859315199994371559e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.02 Order of pole = 2.161 x[1] = -1.748 y[1] (analytic) = -1.0511574803882003876041825447895 y[1] (numeric) = -1.0511574803882003846941600288821 absolute error = 2.9100225159074e-18 relative error = 2.7683982373722981367257531271121e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.019 Order of pole = 2.161 x[1] = -1.747 y[1] (analytic) = -1.0509107955902708780971474730531 y[1] (numeric) = -1.050910795590270875185071584331 absolute error = 2.9120758887221e-18 relative error = 2.7710019736608169790455914462418e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.018 Order of pole = 2.161 x[1] = -1.746 y[1] (analytic) = -1.0506638979871823558121353051524 y[1] (numeric) = -1.0506638979871823528981305570482 absolute error = 2.9140047481042e-18 relative error = 2.7734889850947839410485834630451e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.018 Order of pole = 2.161 x[1] = -1.745 y[1] (analytic) = -1.0504167873335881457275775403811 y[1] (numeric) = -1.0504167873335881428117692202656 absolute error = 2.9158083201155e-18 relative error = 2.7758584547349837101210931528966e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.017 Order of pole = 2.161 x[1] = -1.744 y[1] (analytic) = -1.0501694633838220429906370634934 y[1] (numeric) = -1.0501694633838220400731512362951 absolute error = 2.9174858271983e-18 relative error = 2.7781095612870627838232781638923e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.016 Order of pole = 2.161 x[1] = -1.743 y[1] (analytic) = -1.0499219258918979381653047266663 y[1] (numeric) = -1.0499219258918979352462682385056 absolute error = 2.9190364881607e-18 relative error = 2.7802414790804643471051208450273e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.015 Order of pole = 2.161 x[1] = -1.742 y[1] (analytic) = -1.0496741746115094424454816746877 y[1] (numeric) = -1.0496741746115094395250221565257 absolute error = 2.9204595181620e-18 relative error = 2.7822533780474109178646609303106e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=38.1MB, alloc=4.3MB, time=5.68 Complex estimate of poles used Radius of convergence = 2.014 Order of pole = 2.161 x[1] = -1.741 y[1] (analytic) = -1.0494262092960295128356536826984 y[1] (numeric) = -1.0494262092960295099138995539995 absolute error = 2.9217541286989e-18 relative error = 2.7841444237026017353710069521586e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.013 Order of pole = 2.161 x[1] = -1.74 y[1] (analytic) = -1.0491780296985100773017799064475 y[1] (numeric) = -1.0491780296985100743788603788572 absolute error = 2.9229195275903e-18 relative error = 2.7859137771215290595708300895147e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.012 Order of pole = 2.161 x[1] = -1.739 y[1] (analytic) = -1.0489296355716816598950346509516 y[1] (numeric) = -1.0489296355716816569710797319882 absolute error = 2.9239549189634e-18 relative error = 2.7875605949199850112330486996323e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.011 Order of pole = 2.161 x[1] = -1.738 y[1] (analytic) = -1.048681026667953005851057044964 y[1] (numeric) = -1.0486810266679530029261975417252 absolute error = 2.9248595032388e-18 relative error = 2.7890840292325675577760754144159e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.011 Order of pole = 2.161 x[1] = -1.737 y[1] (analytic) = -1.0484322027394107066673798660733 y[1] (numeric) = -1.0484322027394107037417473889571 absolute error = 2.9256324771162e-18 relative error = 2.7904832276917099353545053393692e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.01 Order of pole = 2.161 x[1] = -1.736 y[1] (analytic) = -1.0481831635378188251617251948455 y[1] (numeric) = -1.048183163537818822235452161286 absolute error = 2.9262730335595e-18 relative error = 2.7917573334060894000554617307002e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.009 Order of pole = 2.161 x[1] = -1.735 y[1] (analytic) = -1.0479339088146185205138710865148 y[1] (numeric) = -1.0479339088146185175870907247325 absolute error = 2.9267803617823e-18 relative error = 2.7929054849393683956675787340852e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.008 Order of pole = 2.161 x[1] = -1.734 y[1] (analytic) = -1.0476844383209276732938100356012 y[1] (numeric) = -1.0476844383209276703666563883681 absolute error = 2.9271536472331e-18 relative error = 2.7939268162886004110861072428017e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.007 Order of pole = 2.161 x[1] = -1.733 y[1] (analytic) = -1.0474347518075405104789366728037 y[1] (numeric) = -1.0474347518075405075515446012232 absolute error = 2.9273920715805e-18 relative error = 2.7948204568625862419645957455458e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.006 Order of pole = 2.161 x[1] = -1.732 y[1] (analytic) = -1.0471848490249272304630188748779 y[1] (numeric) = -1.0471848490249272275355240621793 absolute error = 2.9274948126986e-18 relative error = 2.7955855314603714202307048641426e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.005 Order of pole = 2.161 x[1] = -1.731 y[1] (analytic) = -1.0469347297232336280597232872656 y[1] (numeric) = -1.0469347297232336251322622426136 absolute error = 2.9274610446520e-18 relative error = 2.7962211602493118034825658364920e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.005 Order of pole = 2.161 x[1] = -1.73 y[1] (analytic) = -1.0466843936522807195034831563044 y[1] (numeric) = -1.0466843936522807165761932186234 absolute error = 2.9272899376810e-18 relative error = 2.7967264587432796977192579746295e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.004 Order of pole = 2.161 x[1] = -1.729 y[1] (analytic) = -1.0464338405615643674505133432104 y[1] (numeric) = -1.0464338405615643645235326850239 absolute error = 2.9269806581865e-18 relative error = 2.7971005377805327910704650030131e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.003 Order of pole = 2.161 x[1] = -1.728 y[1] (analytic) = -1.0461830702002549059827944460079 y[1] (numeric) = -1.0461830702002549030562620772928 absolute error = 2.9265323687151e-18 relative error = 2.7973425035017231161651159141896e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.002 Order of pole = 2.161 x[1] = -1.727 y[1] (analytic) = -1.0459320823171967656178650884773 y[1] (numeric) = -1.0459320823171967626919208605328 absolute error = 2.9259442279445e-18 relative error = 2.7974514573281417385211540962051e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.001 Order of pole = 2.161 x[1] = -1.726 y[1] (analytic) = -1.0456808766609080983272786473166 y[1] (numeric) = -1.0456808766609080954020632566492 absolute error = 2.9252153906674e-18 relative error = 2.7974264959384780547128967330245e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2 Order of pole = 2.161 x[1] = -1.725 y[1] (analytic) = -1.0454294529795804025665979803791 y[1] (numeric) = -1.0454294529795803996422529726013 absolute error = 2.9243450077778e-18 relative error = 2.7972667112478215784088272916031e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.999 Order of pole = 2.161 x[1] = -1.724 y[1] (analytic) = -1.0451778110210781483198190903494 y[1] (numeric) = -1.0451778110210781453964868640947 absolute error = 2.9233322262547e-18 relative error = 2.7969711903841259661058977783768e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.998 Order of pole = 2.161 x[1] = -1.723 y[1] (analytic) = -1.0449259505329384021611321098912 y[1] (numeric) = -1.044925950532938399238955920744 absolute error = 2.9221761891472e-18 relative error = 2.7965390156659588800619973852451e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.998 Order of pole = 2.161 x[1] = -1.722 y[1] (analytic) = -1.0446738712623704523369455264271 y[1] (numeric) = -1.0446738712623704494160694908671 absolute error = 2.9208760355600e-18 relative error = 2.7959692645805824690065361570198e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.997 Order of pole = 2.161 x[1] = -1.721 y[1] (analytic) = -1.0444215729562554338711171776211 y[1] (numeric) = -1.0444215729562554309516862769841 absolute error = 2.9194309006370e-18 relative error = 2.7952610097601627002096989523153e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.996 Order of pole = 2.161 x[1] = -1.72 y[1] (analytic) = -1.0441690553611459536963532426421 y[1] (numeric) = -1.0441690553611459507785133270955 absolute error = 2.9178399155466e-18 relative error = 2.7944133189595519442994418836548e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.995 Order of pole = 2.161 x[1] = -1.719 y[1] (analytic) = -1.0439163182232657158147542296939 y[1] (numeric) = -1.0439163182232657128986520222274 absolute error = 2.9161022074665e-18 relative error = 2.7934252550335398731260414394376e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.994 Order of pole = 2.161 x[1] = -1.718 y[1] (analytic) = -1.0436633612885091464905048174304 y[1] (numeric) = -1.0436633612885091435762879178627 absolute error = 2.9142168995677e-18 relative error = 2.7922958759132841687361887140121e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.993 Order of pole = 2.161 x[1] = -1.717 y[1] (analytic) = -1.0434101843024410194777223470474 y[1] (numeric) = -1.0434101843024410165655392360476 absolute error = 2.9121831109998e-18 relative error = 2.7910242345839321279860211505981e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.992 Order of pole = 2.161 x[1] = -1.716 y[1] (analytic) = -1.0431567870102960812864967833629 y[1] (numeric) = -1.043156787010296078376496826488 absolute error = 2.9099999568749e-18 relative error = 2.7896093790608467325972693922306e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.992 Order of pole = 2.161 x[1] = -1.715 y[1] (analytic) = -1.0429031691569786764901730673983 y[1] (numeric) = -1.0429031691569786735825065191461 absolute error = 2.9076665482522e-18 relative error = 2.7880503523664482658193498030581e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=41.9MB, alloc=4.3MB, time=6.26 Complex estimate of poles used Radius of convergence = 1.991 Order of pole = 2.161 x[1] = -1.714 y[1] (analytic) = -1.0426493304870623730769449701572 y[1] (numeric) = -1.0426493304870623701717629780346 absolute error = 2.9051819921226e-18 relative error = 2.7863461925070009983736621688412e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.99 Order of pole = 2.161 x[1] = -1.713 y[1] (analytic) = -1.0423952707447895878488478277957 y[1] (numeric) = -1.0423952707447895849463024364026 absolute error = 2.9025453913931e-18 relative error = 2.7844959324491528267433545087983e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.989 Order of pole = 2.161 x[1] = -1.712 y[1] (analytic) = -1.0421409896740712118712558925046 y[1] (numeric) = -1.0421409896740712089715000476336 absolute error = 2.8997558448710e-18 relative error = 2.7824986000962272836991953850939e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.988 Order of pole = 2.161 x[1] = -1.711 y[1] (analytic) = -1.0418864870184862359760084715006 y[1] (numeric) = -1.0418864870184862330791960242525 absolute error = 2.8968124472481e-18 relative error = 2.7803532182644592973884194531169e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.987 Order of pole = 2.161 x[1] = -1.71 y[1] (analytic) = -1.0416317625212813763213075488757 y[1] (numeric) = -1.0416317625212813734275932597904 absolute error = 2.8937142890853e-18 relative error = 2.7780588046595584542145892170643e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.986 Order of pole = 2.161 x[1] = -1.709 y[1] (analytic) = -1.0413768159253707000115481919974 y[1] (numeric) = -1.041376815925370697121087735201 absolute error = 2.8904604567964e-18 relative error = 2.7756143718524478440177167898547e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.985 Order of pole = 2.161 x[1] = -1.708 y[1] (analytic) = -1.0411216469733352507802617360203 y[1] (numeric) = -1.0411216469733352478932117033879 absolute error = 2.8870500326324e-18 relative error = 2.7730189272554255653440020603529e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.985 Order of pole = 2.161 x[1] = -1.707 y[1] (analytic) = -1.0408662554074226747393705171791 y[1] (numeric) = -1.0408662554074226718558884225131 absolute error = 2.8834820946660e-18 relative error = 2.7702714730984612299454830617205e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.984 Order of pole = 2.162 x[1] = -1.706 y[1] (analytic) = -1.0406106409695468461979717882109 y[1] (numeric) = -1.0406106409695468433182160714356 absolute error = 2.8797557167753e-18 relative error = 2.7673710064046665604732317073277e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.983 Order of pole = 2.162 x[1] = -1.705 y[1] (analytic) = -1.0403548034012874935538873978328 y[1] (numeric) = -1.0403548034012874906780174292051 absolute error = 2.8758699686277e-18 relative error = 2.7643165189658997063471692078825e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.982 Order of pole = 2.162 x[1] = -1.704 y[1] (analytic) = -1.0400987424438898252612348509983 y[1] (numeric) = -1.040098742443889822389410935334 absolute error = 2.8718239156643e-18 relative error = 2.7611069973187917743223159047429e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.981 Order of pole = 2.162 x[1] = -1.703 y[1] (analytic) = -1.0398424578382641558772944880061 y[1] (numeric) = -1.0398424578382641530096778689226 absolute error = 2.8676166190835e-18 relative error = 2.7577414227199459448074982395453e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.98 Order of pole = 2.162 x[1] = -1.702 y[1] (analytic) = -1.0395859493249855321919667287672 y[1] (numeric) = -1.0395859493249855293287195929418 absolute error = 2.8632471358254e-18 relative error = 2.7542187711218466525213318951913e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.979 Order of pole = 2.162 x[1] = -1.701 y[1] (analytic) = -1.0393292166442933594431326239748 y[1] (numeric) = -1.0393292166442933565844181054198 absolute error = 2.8587145185550e-18 relative error = 2.7505380131475555703353980687491e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.979 Order of pole = 2.162 x[1] = -1.7 y[1] (analytic) = -1.0390722595360910276212503379073 y[1] (numeric) = -1.0390722595360910247672325222606 absolute error = 2.8540178156467e-18 relative error = 2.7466981140665981204534179905544e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.978 Order of pole = 2.162 x[1] = -1.699 y[1] (analytic) = -1.0388150777399455378665396584461 y[1] (numeric) = -1.0388150777399455350173835872787 absolute error = 2.8491560711674e-18 relative error = 2.7426980337694432867737137546126e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.977 Order of pole = 2.162 x[1] = -1.698 y[1] (analytic) = -1.038557670995087128962126188953 y[1] (numeric) = -1.0385576709950871261179978640919 absolute error = 2.8441283248611e-18 relative error = 2.7385367267433664526569860866413e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.976 Order of pole = 2.162 x[1] = -1.697 y[1] (analytic) = -1.038300039040408903926536524248 y[1] (numeric) = -1.0383000390404089010876029121164 absolute error = 2.8389336121316e-18 relative error = 2.7342131420464229066915912290374e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.975 Order of pole = 2.162 x[1] = -1.696 y[1] (analytic) = -1.0380421816144664567089554494038 y[1] (numeric) = -1.0380421816144664538753844853767 absolute error = 2.8335709640271e-18 relative error = 2.7297262232831892982522833589445e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.974 Order of pole = 2.162 x[1] = -1.695 y[1] (analytic) = -1.037784098455477498990676025748 y[1] (numeric) = -1.0377840984554774961626366185249 absolute error = 2.8280394072231e-18 relative error = 2.7250749085788070112424095617603e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.973 Order of pole = 2.162 x[1] = -1.694 y[1] (analytic) = -1.0375257893013214870961933436928 y[1] (numeric) = -1.0375257893013214842738553796864 absolute error = 2.8223379640064e-18 relative error = 2.7202581305540230526413940681915e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.973 Order of pole = 2.162 x[1] = -1.693 y[1] (analytic) = -1.0372672538895392490174127271123 y[1] (numeric) = -1.0372672538895392462009470748538 absolute error = 2.8164656522585e-18 relative error = 2.7152748162995910939386114408450e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.972 Order of pole = 2.162 x[1] = -1.692 y[1] (analytic) = -1.0370084919573326115544632693128 y[1] (numeric) = -1.0370084919573326087440417838737 absolute error = 2.8104214854391e-18 relative error = 2.7101238873507063900081549362511e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.971 Order of pole = 2.162 x[1] = -1.691 y[1] (analytic) = -1.0367495032415640275766277665203 y[1] (numeric) = -1.0367495032415640247724232939509 absolute error = 2.8042044725694e-18 relative error = 2.7048042596611850888245135095359e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.97 Order of pole = 2.163 x[1] = -1.69 y[1] (analytic) = -1.0364902874787562034069203915875 y[1] (numeric) = -1.0364902874787562006091067733717 absolute error = 2.7978136182158e-18 relative error = 2.6993148435779661808723420517847e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.969 Order of pole = 2.163 x[1] = -1.689 y[1] (analytic) = -1.0362308444050917263338638186339 y[1] (numeric) = -1.0362308444050917235426158961608 absolute error = 2.7912479224731e-18 relative error = 2.6936545438150679393392942775279e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.968 Order of pole = 2.163 x[1] = -1.688 y[1] (analytic) = -1.0359711737564126922540379689265 y[1] (numeric) = -1.0359711737564126894695315879788 absolute error = 2.7845063809477e-18 relative error = 2.6878222594274803517589077748677e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=45.7MB, alloc=4.3MB, time=6.83 Complex estimate of poles used Radius of convergence = 1.967 Order of pole = 2.163 x[1] = -1.687 y[1] (analytic) = -1.0357112752682203334489930998183 y[1] (numeric) = -1.0357112752682203306714051150771 absolute error = 2.7775879847412e-18 relative error = 2.6818168837853794545028448651252e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.967 Order of pole = 2.163 x[1] = -1.686 y[1] (analytic) = -1.0354511486756746465001406023373 y[1] (numeric) = -1.035451148675674643729648881904 absolute error = 2.7704917204333e-18 relative error = 2.6756373045476016122850541639823e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.966 Order of pole = 2.163 x[1] = -1.685 y[1] (analytic) = -1.0351907937135940203452556094 y[1] (numeric) = -1.0351907937135940175820390393347 absolute error = 2.7632165700653e-18 relative error = 2.6692824036356320628064183122359e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.965 Order of pole = 2.163 x[1] = -1.684 y[1] (analytic) = -1.034930210116454864480246345955 y[1] (numeric) = -1.034930210116454861724484834832 absolute error = 2.7557615111230e-18 relative error = 2.6627510572069489463336199985778e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.964 Order of pole = 2.163 x[1] = -1.683 y[1] (analytic) = -1.0346693976183912373098660749934 y[1] (numeric) = -1.0346693976183912345617405584734 absolute error = 2.7481255165200e-18 relative error = 2.6560421356286879889242887409549e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.963 Order of pole = 2.163 x[1] = -1.682 y[1] (analytic) = -1.034408355953194474651064509632 y[1] (numeric) = -1.0344083559531944719107569550515 absolute error = 2.7403075545805e-18 relative error = 2.6491545034507581532573302924222e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.962 Order of pole = 2.163 x[1] = -1.681 y[1] (analytic) = -1.0341470848543128183926966717421 y[1] (numeric) = -1.0341470848543128156603900827191 absolute error = 2.7323065890230e-18 relative error = 2.6420870193797608697167849870983e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.961 Order of pole = 2.163 x[1] = -1.68 y[1] (analytic) = -1.0338855840548510453153283821921 y[1] (numeric) = -1.0338855840548510425912068032498 absolute error = 2.7241215789423e-18 relative error = 2.6348385362511992932957966103974e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.961 Order of pole = 2.164 x[1] = -1.679 y[1] (analytic) = -1.0336238532875700960748988670659 y[1] (numeric) = -1.0336238532875700933591473882725 absolute error = 2.7157514787934e-18 relative error = 2.6274079010034572581409723183307e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.96 Order of pole = 2.164 x[1] = -1.678 y[1] (analytic) = -1.0333618922848867043540223585378 y[1] (numeric) = -1.0333618922848867016468271201639 absolute error = 2.7071952383739e-18 relative error = 2.6197939546502606408995544211193e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.959 Order of pole = 2.164 x[1] = -1.677 y[1] (analytic) = -1.0330997007788730261847320588002 y[1] (numeric) = -1.0330997007788730234862802559936 absolute error = 2.6984518028066e-18 relative error = 2.6119955322532637802652546785548e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.958 Order of pole = 2.164 x[1] = -1.676 y[1] (analytic) = -1.0328372785012562694464914208908 y[1] (numeric) = -1.0328372785012562667569713083676 absolute error = 2.6895201125232e-18 relative error = 2.6040114628956323636035865534863e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.957 Order of pole = 2.164 x[1] = -1.675 y[1] (analytic) = -1.0325746251834183235433193818035 y[1] (numeric) = -1.0325746251834183208629202785572 absolute error = 2.6803991032463e-18 relative error = 2.5958405696539126889045371908572e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.956 Order of pole = 2.164 x[1] = -1.674 y[1] (analytic) = -1.0323117405563953892638979612579 y[1] (numeric) = -1.0323117405563953865928102552852 absolute error = 2.6710877059727e-18 relative error = 2.5874816695710901527147145434326e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.955 Order of pole = 2.164 x[1] = -1.673 y[1] (analytic) = -1.0320486243508776088285525142806 y[1] (numeric) = -1.0320486243508776061669676673252 absolute error = 2.6615848469554e-18 relative error = 2.5789335736283196230080157861119e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.955 Order of pole = 2.164 x[1] = -1.672 y[1] (analytic) = -1.0317852762972086961270168976902 y[1] (numeric) = -1.0317852762972086934751274500031 absolute error = 2.6518894476871e-18 relative error = 2.5701950867180388698282476183034e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.954 Order of pole = 2.164 x[1] = -1.671 y[1] (analytic) = -1.0315216961253855671509178800198 y[1] (numeric) = -1.0315216961253855645089174551375 absolute error = 2.6420004248823e-18 relative error = 2.5612650076156559429229019109274e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.953 Order of pole = 2.164 x[1] = -1.67 y[1] (analytic) = -1.0312578835650579706249352917186 y[1] (numeric) = -1.0312578835650579679930186012586 absolute error = 2.6319166904600e-18 relative error = 2.5521421289517471236320468025003e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.952 Order of pole = 2.165 x[1] = -1.669 y[1] (analytic) = -1.0309938383455281188406166780065 y[1] (numeric) = -1.0309938383455281162189795264802 absolute error = 2.6216371515263e-18 relative error = 2.5428252371840872042683706370789e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.951 Order of pole = 2.165 x[1] = -1.668 y[1] (analytic) = -1.0307295601957503186968475808608 y[1] (numeric) = -1.0307295601957503160856868705038 absolute error = 2.6111607103570e-18 relative error = 2.5333131125696086089309364559305e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.95 Order of pole = 2.165 x[1] = -1.667 y[1] (analytic) = -1.0304650488443306029510010396658 y[1] (numeric) = -1.030465048844330600350514775286 absolute error = 2.6004862643798e-18 relative error = 2.5236045291359008484340244851428e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.949 Order of pole = 2.165 x[1] = -1.666 y[1] (analytic) = -1.0302003040195263616848124624 y[1] (numeric) = -1.0302003040195263590951997562432 absolute error = 2.5896127061568e-18 relative error = 2.5136982546529287557977318281859e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.949 Order of pole = 2.165 x[1] = -1.665 y[1] (analytic) = -1.0299353254492459739890486812413 y[1] (numeric) = -1.0299353254492459714105097578739 absolute error = 2.5785389233674e-18 relative error = 2.5035930506050667807793786762999e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.948 Order of pole = 2.165 x[1] = -1.664 y[1] (analytic) = -1.0296701128610484398710627684934 y[1] (numeric) = -1.0296701128610484373037989697038 absolute error = 2.5672637987896e-18 relative error = 2.4932876721615073350168100158794e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.947 Order of pole = 2.165 x[1] = -1.663 y[1] (analytic) = -1.0294046659821430123893490511472 y[1] (numeric) = -1.0294046659821430098335628408638 absolute error = 2.5557862102834e-18 relative error = 2.4827808681486343556193783278272e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.946 Order of pole = 2.165 x[1] = -1.662 y[1] (analytic) = -1.0291389845393888300192357255379 y[1] (numeric) = -1.0291389845393888274751306947654 absolute error = 2.5441050307725e-18 relative error = 2.4720713810206730154021868146569e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.945 Order of pole = 2.165 x[1] = -1.661 y[1] (analytic) = -1.0288730682592945492538755378225 y[1] (numeric) = -1.0288730682592945467216564095959 absolute error = 2.5322191282266e-18 relative error = 2.4611579468308477091305315094082e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.944 Order of pole = 2.166 memory used=49.5MB, alloc=4.4MB, time=7.41 x[1] = -1.66 y[1] (analytic) = -1.0286069168680179774447181617342 y[1] (numeric) = -1.0286069168680179749245907960905 absolute error = 2.5201273656437e-18 relative error = 2.4500392952024657068495473154971e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.943 Order of pole = 2.166 x[1] = -1.659 y[1] (analytic) = -1.0283405300913657058856711726431 y[1] (numeric) = -1.028340530091365703377842571611 absolute error = 2.5078286010321e-18 relative error = 2.4387141492996343927977484531396e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.943 Order of pole = 2.166 x[1] = -1.658 y[1] (analytic) = -1.0280739076547927431451798867289 y[1] (numeric) = -1.0280739076547927406498581993363 absolute error = 2.4953216873926e-18 relative error = 2.4271812257980975554991723391937e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.942 Order of pole = 2.166 x[1] = -1.657 y[1] (analytic) = -1.0278070492834021486504798064199 y[1] (numeric) = -1.0278070492834021461678743337192 absolute error = 2.4826054727007e-18 relative error = 2.4154392348559961383443866396419e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.941 Order of pole = 2.166 x[1] = -1.656 y[1] (analytic) = -1.0275399547019446665282989885398 y[1] (numeric) = -1.0275399547019446640586201886514 absolute error = 2.4696787998884e-18 relative error = 2.4034868800841638158375493111828e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.94 Order of pole = 2.166 x[1] = -1.655 y[1] (analytic) = -1.0272726236348183597063113302 y[1] (numeric) = -1.0272726236348183572497708233735 absolute error = 2.4565405068265e-18 relative error = 2.3913228585168324352669299456540e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.939 Order of pole = 2.166 x[1] = -1.654 y[1] (analytic) = -1.0270050558060682442796655497461 y[1] (numeric) = -1.0270050558060682418364761234398 absolute error = 2.4431894263063e-18 relative error = 2.3789458605816767736596484255521e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.938 Order of pole = 2.166 x[1] = -1.653 y[1] (analytic) = -1.0267372509393859241469385263886 y[1] (numeric) = -1.0267372509393859217173141403669 absolute error = 2.4296243860217e-18 relative error = 2.3663545700701711419696722637887e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.938 Order of pole = 2.167 x[1] = -1.652 y[1] (analytic) = -1.0264692087581092259198856528828 y[1] (numeric) = -1.026469208758109223504041444332 absolute error = 2.4158442085508e-18 relative error = 2.3535476641073813898546073562975e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.937 Order of pole = 2.167 x[1] = -1.651 y[1] (analytic) = -1.0262009289852218341113849511525 y[1] (numeric) = -1.0262009289852218317095372398143 absolute error = 2.4018477113382e-18 relative error = 2.3405238131223604156146462521258e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.936 Order of pole = 2.167 x[1] = -1.65 y[1] (analytic) = -1.0259324113433529266059959014387 y[1] (numeric) = -1.0259324113433529242183621947621 absolute error = 2.3876337066766e-18 relative error = 2.3272816808177834473880295613704e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.935 Order of pole = 2.167 x[1] = -1.649 y[1] (analytic) = -1.0256636555547768104175782417792 y[1] (numeric) = -1.0256636555547768080443772400908 absolute error = 2.3732010016884e-18 relative error = 2.3138199241395039610770288450705e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.934 Order of pole = 2.167 x[1] = -1.648 y[1] (analytic) = -1.025394661341412557738440406758 y[1] (numeric) = -1.0253946613414125553798920084502 absolute error = 2.3585483983078e-18 relative error = 2.3001371932465174769467510346928e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.933 Order of pole = 2.167 x[1] = -1.647 y[1] (analytic) = -1.0251254284248236422845117928801 y[1] (numeric) = -1.025125428424823639940837099618 absolute error = 2.3436746932621e-18 relative error = 2.2862321314800656167088615732233e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.932 Order of pole = 2.167 x[1] = -1.646 y[1] (analytic) = -1.0248559565262175759410576630018 y[1] (numeric) = -1.0248559565262175736124789849479 absolute error = 2.3285786780539e-18 relative error = 2.2721033753335373791246141244998e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.932 Order of pole = 2.167 x[1] = -1.645 y[1] (analytic) = -1.0245862453664455457134802343583 y[1] (numeric) = -1.0245862453664455434002210954161 absolute error = 2.3132591389422e-18 relative error = 2.2577495544212168614910015178048e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.931 Order of pole = 2.168 x[1] = -1.644 y[1] (analytic) = -1.0243162946660020509877743342532 y[1] (numeric) = -1.0243162946660020486900594773291 absolute error = 2.2977148569241e-18 relative error = 2.2431692914475347115616120045602e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.93 Order of pole = 2.168 x[1] = -1.643 y[1] (analytic) = -1.0240461041450245411052309547881 y[1] (numeric) = -1.0240461041450245388232863470713 absolute error = 2.2819446077168e-18 relative error = 2.2283612021765310473146898540157e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.929 Order of pole = 2.168 x[1] = -1.642 y[1] (analytic) = -1.0237756735232930532560070934894 y[1] (numeric) = -1.0237756735232930509900599317509 absolute error = 2.2659471617385e-18 relative error = 2.2133238954001625128785118969394e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.928 Order of pole = 2.168 x[1] = -1.641 y[1] (analytic) = -1.0235050025202298506962054307213 y[1] (numeric) = -1.0235050025202298484464841466308 absolute error = 2.2497212840905e-18 relative error = 2.1980559729076982756087454439886e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.927 Order of pole = 2.168 x[1] = -1.64 y[1] (analytic) = -1.0232340908548990612931326677265 y[1] (numeric) = -1.0232340908548990590598669331883 absolute error = 2.2332657345382e-18 relative error = 2.1825560294539589657339736072369e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.926 Order of pole = 2.168 x[1] = -1.639 y[1] (analytic) = -1.0229629382460063164034307314038 y[1] (numeric) = -1.0229629382460063141868514639113 absolute error = 2.2165792674925e-18 relative error = 2.1668226527278625033655992993367e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.926 Order of pole = 2.168 x[1] = -1.638 y[1] (analytic) = -1.022691544411898390088800543882 y[1] (numeric) = -1.0226915444118983878891399118903 absolute error = 2.1996606319917e-18 relative error = 2.1508544233213749205679852331210e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.925 Order of pole = 2.169 x[1] = -1.637 y[1] (analytic) = -1.0224199090705628386740636569746 y[1] (numeric) = -1.0224199090705628364915550852924 absolute error = 2.1825085716822e-18 relative error = 2.1346499146972039669501559457268e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.924 Order of pole = 2.169 x[1] = -1.636 y[1] (analytic) = -1.0221480319396276406523327640814 y[1] (numeric) = -1.0221480319396276384872109392811 absolute error = 2.1651218248003e-18 relative error = 2.1182076931574830797348703654382e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.923 Order of pole = 2.169 x[1] = -1.635 y[1] (analytic) = -1.0218759127363608369420879254161 y[1] (numeric) = -1.0218759127363608347945888012627 absolute error = 2.1474991241534e-18 relative error = 2.1015263178117837087839004552189e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.922 Order of pole = 2.169 x[1] = -1.634 y[1] (analytic) = -1.0216035511776701715009812769787 y[1] (numeric) = -1.0216035511776701693713420798779 absolute error = 2.1296391971008e-18 relative error = 2.0846043405446502694309272315495e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.921 Order of pole = 2.169 x[1] = -1.633 memory used=53.4MB, alloc=4.4MB, time=7.99 y[1] (analytic) = -1.0213309469801027323012190398388 y[1] (numeric) = -1.0213309469801027301896782743031 absolute error = 2.1115407655357e-18 relative error = 2.0674403059842231660286875731121e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.921 Order of pole = 2.169 x[1] = -1.632 y[1] (analytic) = -1.0210580998598445926713958044295 y[1] (numeric) = -1.021058099859844590578193258564 absolute error = 2.0932025458655e-18 relative error = 2.0500327514691114788856114362555e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.92 Order of pole = 2.169 x[1] = -1.631 y[1] (analytic) = -1.0207850095327204530096823350723 y[1] (numeric) = -1.0207850095327204509350590860784 absolute error = 2.0746232489939e-18 relative error = 2.0323802070169405234966802686364e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.919 Order of pole = 2.17 x[1] = -1.63 y[1] (analytic) = -1.0205116757141932828732945232312 y[1] (numeric) = -1.0205116757141932808174929429301 absolute error = 2.0558015803011e-18 relative error = 2.0144811952909515335516734625794e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.918 Order of pole = 2.17 x[1] = -1.629 y[1] (analytic) = -1.0202380981193639634491976144342 y[1] (numeric) = -1.0202380981193639614124613748086 absolute error = 2.0367362396256e-18 relative error = 1.9963342315680801343204943484008e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.917 Order of pole = 2.17 x[1] = -1.628 y[1] (analytic) = -1.0199642764629709304110264437729 y[1] (numeric) = -1.0199642764629709283936005225282 absolute error = 2.0174259212447e-18 relative error = 1.9779378237056728891393288626883e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.916 Order of pole = 2.17 x[1] = -1.627 y[1] (analytic) = -1.0196902104593898171672291388033 y[1] (numeric) = -1.0196902104593898151693598249474 absolute error = 1.9978693138559e-18 relative error = 1.9592904721089966218665117707768e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.916 Order of pole = 2.17 x[1] = -1.626 y[1] (analytic) = -1.0194158998226330985054685868957 y[1] (numeric) = -1.019415899822633096527403486338 absolute error = 1.9780651005577e-18 relative error = 1.9403906696980703172995883993174e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.915 Order of pole = 2.17 x[1] = -1.625 y[1] (analytic) = -1.0191413442663497346383429170231 y[1] (numeric) = -1.0191413442663497326803309581925 absolute error = 1.9580119588306e-18 relative error = 1.9212369018746030393683129892468e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.914 Order of pole = 2.171 x[1] = -1.624 y[1] (analytic) = -1.0188665435038248156555133140183 y[1] (numeric) = -1.0188665435038248137178047535002 absolute error = 1.9377085605181e-18 relative error = 1.9018276464888415092448478640434e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.913 Order of pole = 2.171 x[1] = -1.623 y[1] (analytic) = -1.0185914972479792063873546668637 y[1] (numeric) = -1.0185914972479792044702010950563 absolute error = 1.9171535718074e-18 relative error = 1.8821613738060323865344881225162e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.912 Order of pole = 2.171 x[1] = -1.622 y[1] (analytic) = -1.018316205211369191685271852 y[1] (numeric) = -1.0183162052113691897889261987893 absolute error = 1.8963456532107e-18 relative error = 1.8622365464733820733464111386295e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.911 Order of pole = 2.171 x[1] = -1.621 y[1] (analytic) = -1.0180406671061861221238518683366 y[1] (numeric) = -1.0180406671061861202485684087915 absolute error = 1.8752834595451e-18 relative error = 1.8420516194855501600260417286696e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.91 Order of pole = 2.171 x[1] = -1.62 y[1] (analytic) = -1.0177648826442560601300495730236 y[1] (numeric) = -1.017764882644256058276083933109 absolute error = 1.8539656399146e-18 relative error = 1.8216050401521123753202552755298e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.91 Order of pole = 2.171 x[1] = -1.619 y[1] (analytic) = -1.0174888515370394265446324164765 y[1] (numeric) = -1.0174888515370394247122415787865 absolute error = 1.8323908376900e-18 relative error = 1.8008952480628686993970447455929e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.909 Order of pole = 2.171 x[1] = -1.618 y[1] (analytic) = -1.0172125734956306476211373420518 y[1] (numeric) = -1.0172125734956306458105796515621 absolute error = 1.8105576904897e-18 relative error = 1.7799206750539415158298117196425e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.908 Order of pole = 2.172 x[1] = -1.617 y[1] (analytic) = -1.0169360482307578024676209005257 y[1] (numeric) = -1.0169360482307578006791560703644 absolute error = 1.7884648301613e-18 relative error = 1.7586797451745666968029453476198e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.907 Order of pole = 2.172 x[1] = -1.616 y[1] (analytic) = -1.016659275452782270936511632536 y[1] (numeric) = -1.0166592754527822691704007497752 absolute error = 1.7661108827608e-18 relative error = 1.7371708746514311064250693361062e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.906 Order of pole = 2.172 x[1] = -1.615 y[1] (analytic) = -1.0163822548716983819679018938144 y[1] (numeric) = -1.0163822548716983802244074252797 absolute error = 1.7434944685347e-18 relative error = 1.7153924718557661454834973568156e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.905 Order of pole = 2.172 x[1] = -1.614 y[1] (analytic) = -1.0161049861971330623916445387347 y[1] (numeric) = -1.0161049861971330606710303368352 absolute error = 1.7206142018995e-18 relative error = 1.6933429372677894930604525442961e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.905 Order of pole = 2.172 x[1] = -1.613 y[1] (analytic) = -1.0158274691383454861936482378634 y[1] (numeric) = -1.0158274691383454844961795464402 absolute error = 1.6974686914232e-18 relative error = 1.6710206634430180326973841953182e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.904 Order of pole = 2.172 x[1] = -1.612 y[1] (analytic) = -1.015549703404226724251793685188 y[1] (numeric) = -1.0155497034042267225777371453829 absolute error = 1.6740565398051e-18 relative error = 1.6484240349768119149983141111871e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.903 Order of pole = 2.173 x[1] = -1.611 y[1] (analytic) = -1.015271688703299394546921550942 y[1] (numeric) = -1.0152716887032993928965452070852 absolute error = 1.6503763438568e-18 relative error = 1.6255514284700024694790502299933e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.902 Order of pole = 2.173 x[1] = -1.61 y[1] (analytic) = -1.0149934247437173128543717568226 y[1] (numeric) = -1.0149934247437173112279450623399 absolute error = 1.6264266944827e-18 relative error = 1.6024012124939308731220179567141e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.901 Order of pole = 2.173 x[1] = -1.609 y[1] (analytic) = -1.0147149112332651439215824923232 y[1] (numeric) = -1.014714911233265142319376315663 absolute error = 1.6022061766602e-18 relative error = 1.5789717475550932630953016035713e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.9 Order of pole = 2.173 x[1] = -1.608 y[1] (analytic) = -1.0144361478793580531372863542673 y[1] (numeric) = -1.0144361478793580515595729848468 absolute error = 1.5777133694205e-18 relative error = 1.5552613860602784449423173407411e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.899 Order of pole = 2.173 x[1] = -1.607 y[1] (analytic) = -1.0141571343890413586978700768424 y[1] (numeric) = -1.0141571343890413571449232310137 absolute error = 1.5529468458287e-18 relative error = 1.5312684722809170053253505431101e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.899 Order of pole = 2.173 x[1] = -1.606 y[1] (analytic) = -1.0138778704689901842764935268911 y[1] (numeric) = -1.0138778704689901827485883539265 absolute error = 1.5279051729646e-18 relative error = 1.5069913423180208605038307610803e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=57.2MB, alloc=4.4MB, time=8.58 Complex estimate of poles used Radius of convergence = 1.898 Order of pole = 2.173 x[1] = -1.605 y[1] (analytic) = -1.0135983558255091122005929693204 y[1] (numeric) = -1.0135983558255091106980060574178 absolute error = 1.5025869119026e-18 relative error = 1.4824283240661355555368393518635e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.897 Order of pole = 2.174 x[1] = -1.604 y[1] (analytic) = -1.0133185901645318371434230606528 y[1] (numeric) = -1.0133185901645318356664324429602 absolute error = 1.4769906176926e-18 relative error = 1.4575777371781781454564263872918e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.896 Order of pole = 2.174 x[1] = -1.603 y[1] (analytic) = -1.0130385731916208203353216053524 y[1] (numeric) = -1.0130385731916208188842067660127 absolute error = 1.4511148393397e-18 relative error = 1.4324378930289903934964825896792e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.895 Order of pole = 2.174 x[1] = -1.602 y[1] (analytic) = -1.0127583046119669443004108100369 y[1] (numeric) = -1.0127583046119669428754526902519 absolute error = 1.4249581197850e-18 relative error = 1.4070070946798755329284940336297e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.894 Order of pole = 2.174 x[1] = -1.601 y[1] (analytic) = -1.0124777841303891681244785954202 y[1] (numeric) = -1.0124777841303891667259595995342 absolute error = 1.3985189958860e-18 relative error = 1.3812836368426386881078804466310e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.894 Order of pole = 2.174 x[1] = -1.6 y[1] (analytic) = -1.0121970114513341832598134752381 y[1] (numeric) = -1.012197011451334181888017476842 absolute error = 1.3717959983961e-18 relative error = 1.3552658058426357222468236085769e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.893 Order of pole = 2.174 x[1] = -1.599 y[1] (analytic) = -1.0119159862788760698727965858925 y[1] (numeric) = -1.011915986278876068528008933947 absolute error = 1.3447876519455e-18 relative error = 1.3289518795831012030002644057079e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.892 Order of pole = 2.175 x[1] = -1.598 y[1] (analytic) = -1.0116347083167159537400846505073 y[1] (numeric) = -1.0116347083167159524225921754859 absolute error = 1.3174924750214e-18 relative error = 1.3023401275086818239357050432966e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.891 Order of pole = 2.175 x[1] = -1.597 y[1] (analytic) = -1.011353177268181663699247986941 y[1] (numeric) = -1.0113531772681816624093390069931 absolute error = 1.2899089799479e-18 relative error = 1.2754288105685689457736960036421e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.89 Order of pole = 2.175 x[1] = -1.596 y[1] (analytic) = -1.0110713928362273896597581214427 y[1] (numeric) = -1.0110713928362273883977224485765 absolute error = 1.2620356728662e-18 relative error = 1.2482161811798226025575503996957e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.889 Order of pole = 2.175 x[1] = -1.595 y[1] (analytic) = -1.0107893547234333411802501484831 y[1] (numeric) = -1.0107893547234333399463790947681 absolute error = 1.2338710537150e-18 relative error = 1.2207004831907881084241636907378e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.889 Order of pole = 2.175 x[1] = -1.594 y[1] (analytic) = -1.0105070626320054066180156832441 y[1] (numeric) = -1.0105070626320054054126020670339 absolute error = 1.2054136162102e-18 relative error = 1.1928799518437144984430937617698e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.888 Order of pole = 2.175 x[1] = -1.593 y[1] (analytic) = -1.0102245162637748128567130867272 y[1] (numeric) = -1.0102245162637748116800512389016 absolute error = 1.1766618478256e-18 relative error = 1.1647528137382557290184210888210e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.887 Order of pole = 2.176 x[1] = -1.592 y[1] (analytic) = -1.0099417153201977856183126048325 y[1] (numeric) = -1.0099417153201977844706983750602 absolute error = 1.1476142297723e-18 relative error = 1.1363172867935786977656300168161e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.886 Order of pole = 2.176 x[1] = -1.591 y[1] (analytic) = -1.0096586595023552103653251525016 y[1] (numeric) = -1.0096586595023552092470559155224 absolute error = 1.1182692369792e-18 relative error = 1.1075715802114520822707274858906e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.885 Order of pole = 2.176 x[1] = -1.59 y[1] (analytic) = -1.0093753485109522937993946924935 y[1] (numeric) = -1.0093753485109522927107693544204 absolute error = 1.0886253380731e-18 relative error = 1.0785138944388315413286285180035e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.884 Order of pole = 2.176 x[1] = -1.589 y[1] (analytic) = -1.0090917820463182259623655059993 y[1] (numeric) = -1.0090917820463182249036845106409 absolute error = 1.0586809953584e-18 relative error = 1.0491424211299399763334909499477e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.884 Order of pole = 2.176 x[1] = -1.588 y[1] (analytic) = -1.008807959808405842945967129505 y[1] (numeric) = -1.0088079598084058419175324647079 absolute error = 1.0284346647971e-18 relative error = 1.0194553431085354313789412446838e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.883 Order of pole = 2.176 x[1] = -1.587 y[1] (analytic) = -1.0085238814967912902162913394908 y[1] (numeric) = -1.0085238814967912892184065435016 absolute error = 9.978847959892e-19 relative error = 9.8945083433046583793029879057078e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.882 Order of pole = 2.176 x[1] = -1.586 y[1] (analytic) = -1.0082395468106736865592673041213 y[1] (numeric) = -1.008239546810673685592237471969 absolute error = 9.670298321523e-19 relative error = 9.5912705984532065806952875383580e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.881 Order of pole = 2.177 x[1] = -1.585 y[1] (analytic) = -1.0079549554488747886533728894521 y[1] (numeric) = -1.0079549554488747877175046793505 absolute error = 9.358682101016e-19 relative error = 9.2848217575836785244836542226851e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.88 Order of pole = 2.177 x[1] = -1.584 y[1] (analytic) = -1.0076701071098386562758521072564 y[1] (numeric) = -1.0076701071098386553714537470264 absolute error = 9.043983602300e-19 relative error = 8.9751432919247869689278711095486e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.879 Order of pole = 2.177 x[1] = -1.583 y[1] (analytic) = -1.0073850014916313181487408227815 y[1] (numeric) = -1.0073850014916313172761221162937 absolute error = 8.726187064878e-19 relative error = 8.6622165824954376538884829352746e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.879 Order of pole = 2.177 x[1] = -1.582 y[1] (analytic) = -1.0070996382919404384310351039872 y[1] (numeric) = -1.0070996382919404375905074376243 absolute error = 8.405276663629e-19 relative error = 8.3460229197227240088241201981532e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.878 Order of pole = 2.177 x[1] = -1.581 y[1] (analytic) = -1.0068140172080749838633689895111 y[1] (numeric) = -1.006814017208074983055245338651 absolute error = 8.081236508601e-19 relative error = 8.0265435030498558207143753427276e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.877 Order of pole = 2.177 x[1] = -1.58 y[1] (analytic) = -1.0065281379369648915716009811645 y[1] (numeric) = -1.0065281379369648907961959166829 absolute error = 7.754050644816e-19 relative error = 7.7037594405548623734964857140605e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.876 Order of pole = 2.178 x[1] = -1.579 y[1] (analytic) = -1.0062420001751607375357412285954 y[1] (numeric) = -1.0062420001751607367933709233889 absolute error = 7.423703052065e-19 relative error = 7.3776517485582246402363352679406e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=61.0MB, alloc=4.4MB, time=9.17 Complex estimate of poles used Radius of convergence = 1.875 Order of pole = 2.178 x[1] = -1.578 y[1] (analytic) = -1.0059556036188334057306841692848 y[1] (numeric) = -1.0059556036188334050216664048141 absolute error = 7.090177644707e-19 relative error = 7.0482013512333282898774901059071e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.874 Order of pole = 2.178 x[1] = -1.577 y[1] (analytic) = -1.0056689479637737579452443166746 y[1] (numeric) = -1.0056689479637737572698984895277 absolute error = 6.753458271469e-19 relative error = 6.7153890802167566879193284568978e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.873 Order of pole = 2.178 x[1] = -1.576 y[1] (analytic) = -1.0053820329053923042860259533815 y[1] (numeric) = -1.0053820329053923036446730818572 absolute error = 6.413528715243e-19 relative error = 6.3791956742144416293204032301940e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.873 Order of pole = 2.178 x[1] = -1.575 y[1] (analytic) = -1.0050948581387188743726906855402 y[1] (numeric) = -1.0050948581387188737656534162522 absolute error = 6.070372692880e-19 relative error = 6.0396017786036601528537514854741e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.872 Order of pole = 2.178 x[1] = -1.574 y[1] (analytic) = -1.0048074233584022892312201487656 y[1] (numeric) = -1.0048074233584022886588227632662 absolute error = 5.723973854994e-19 relative error = 5.6965879450438035226271698234805e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.871 Order of pole = 2.178 x[1] = -1.573 y[1] (analytic) = -1.0045197282587100338918046264291 y[1] (numeric) = -1.0045197282587100333543730478533 absolute error = 5.374315785758e-19 relative error = 5.3501346310780135203756689988624e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.87 Order of pole = 2.179 x[1] = -1.572 y[1] (analytic) = -1.004231772533527930698021947339 y[1] (numeric) = -1.0042317725335279301958837470692 absolute error = 5.021382002698e-19 relative error = 5.0002221997316390391468984820691e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.869 Order of pole = 2.179 x[1] = -1.571 y[1] (analytic) = -1.0039435558763598133340047729067 y[1] (numeric) = -1.0039435558763598128674891772571 absolute error = 4.665155956496e-19 relative error = 4.6468309191184599248975353295563e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.868 Order of pole = 2.179 x[1] = -1.57 y[1] (analytic) = -1.0036550779803272015763282638849 y[1] (numeric) = -1.0036550779803272011457661608065 absolute error = 4.305621030784e-19 relative error = 4.2899409620367557626162894777987e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.868 Order of pole = 2.179 x[1] = -1.569 y[1] (analytic) = -1.0033663385381689767773841342047 y[1] (numeric) = -1.0033663385381689763831080800106 absolute error = 3.942760541941e-19 relative error = 3.9295324055671554391755477759858e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.867 Order of pole = 2.179 x[1] = -1.568 y[1] (analytic) = -1.0030773372422410580870412547239 y[1] (numeric) = -1.0030773372422410577293854808349 absolute error = 3.576557738890e-19 relative error = 3.5655852306692767608836399591054e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.866 Order of pole = 2.179 x[1] = -1.567 y[1] (analytic) = -1.0027880737845160794194272632517 y[1] (numeric) = -1.0027880737845160790987276829619 absolute error = 3.206995802898e-19 relative error = 3.1980793217801418234505688810746e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.865 Order of pole = 2.18 x[1] = -1.566 y[1] (analytic) = -1.0024985478565830671717000694497 y[1] (numeric) = -1.0024985478565830668882942847123 absolute error = 2.834057847374e-19 relative error = 2.8269944664093806502899889976476e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.864 Order of pole = 2.18 x[1] = -1.565 y[1] (analytic) = -1.0022087591496471187017127145426 y[1] (numeric) = -1.0022087591496471184559400227768 absolute error = 2.457726917658e-19 relative error = 2.4523103547242284890598767615882e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.863 Order of pole = 2.18 x[1] = -1.564 y[1] (analytic) = -1.001918707354529081571509756627 y[1] (numeric) = -1.0019187073545290813637111575445 absolute error = 2.077985990825e-19 relative error = 2.0740065791482465576134844938833e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.863 Order of pole = 2.18 x[1] = -1.563 y[1] (analytic) = -1.0016283921616652335636282031507 y[1] (numeric) = -1.0016283921616652333941464056024 absolute error = 1.694817975483e-19 relative error = 1.6920626339528245911361193518090e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.862 Order of pole = 2.18 x[1] = -1.562 y[1] (analytic) = -1.0013378132611069634772110032747 y[1] (numeric) = -1.0013378132611069633463904321184 absolute error = 1.308205711563e-19 relative error = 1.3064579148394496323145469606251e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.861 Order of pole = 2.18 x[1] = -1.561 y[1] (analytic) = -1.0010469703425204527109762447437 y[1] (numeric) = -1.0010469703425204526191630477317 absolute error = 9.18131970120e-20 relative error = 9.1717171853169879506734678809216e-18 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.86 Order of pole = 2.18 x[1] = -1.56 y[1] (analytic) = -1.0007558630951863576401204729864 y[1] (numeric) = -1.0007558630951863575876625276731 absolute error = 5.24579453133e-20 relative error = 5.2418324236498118465011576117581e-18 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.859 Order of pole = 2.18 x[1] = -1.559 y[1] (analytic) = -1.0004644912079994927942699648733 y[1] (numeric) = -1.0004644912079994927815168855441 absolute error = 1.27530793292e-20 relative error = 1.2747158386202631874419646661317e-18 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.858 Order of pole = 2.181 x[1] = -1.558 y[1] (analytic) = -1.0001728543694685148436293462945 y[1] (numeric) = -1.0001728543694685148709324909139 absolute error = 2.73031446194e-20 relative error = 2.7298425967191958101607126035714e-18 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.858 Order of pole = 2.181 x[1] = -1.557 y[1] (analytic) = -0.99988095226771560740051264188759 y[1] (numeric) = -0.9998809522677156074682251190686 absolute error = 6.771247718101e-20 relative error = 6.7720539157625791761183595816441e-18 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.857 Order of pole = 2.181 x[1] = -1.556 y[1] (analytic) = -0.99958878459047616664347768728934 y[1] (numeric) = -0.99958878459047616675195436328263 absolute error = 1.0847667599329e-19 relative error = 1.0852130162477969322376818501740e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.856 Order of pole = 2.181 x[1] = -1.555 y[1] (analytic) = -0.99929635102509848777132081959536 y[1] (numeric) = -0.99929635102509848792091832529895 absolute error = 1.4959750570359e-19 relative error = 1.4970284395627967724024178454776e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.855 Order of pole = 2.181 x[1] = -1.554 y[1] (analytic) = -0.99900365125854345229422489073047 y[1] (numeric) = -0.99900365125854345248530162871981 absolute error = 1.9107673798934e-19 relative error = 1.9126730692988137052897451926449e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.854 Order of pole = 2.181 x[1] = -1.553 y[1] (analytic) = -0.99871068497738421616938992156386 y[1] (numeric) = -0.99871068497738421640230607314218 absolute error = 2.3291615157832e-19 relative error = 2.3321684155566472353730805920581e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.853 Order of pole = 2.181 x[1] = -1.552 y[1] (analytic) = -0.99841745186780589878851213227124 y[1] (numeric) = -0.99841745186780589906362966454028 absolute error = 2.7511753226904e-19 relative error = 2.7555360911846977780292021579142e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.853 Order of pole = 2.182 memory used=64.8MB, alloc=4.4MB, time=9.76 x[1] = -1.551 y[1] (analytic) = -0.99812395161560527282451364706925 y[1] (numeric) = -0.99812395161560527314219632002035 absolute error = 3.1768267295110e-19 relative error = 3.1827978122044412142080936946625e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.852 Order of pole = 2.182 x[1] = -1.55 y[1] (analytic) = -0.9978301839061904549449618794427 y[1] (numeric) = -0.99783018390619045530557525306821 absolute error = 3.6061337362551e-19 relative error = 3.6139753982368260248466254707868e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.851 Order of pole = 2.182 x[1] = -1.549 y[1] (analytic) = -0.99753614842458059739965445777235 y[1] (numeric) = -0.99753614842458059780356589919735 absolute error = 4.0391144142500e-19 relative error = 4.0490907729298994994455024541618e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.85 Order of pole = 2.182 x[1] = -1.548 y[1] (analytic) = -0.99724184485540558048988255126777 y[1] (numeric) = -0.99724184485540558093746124190221 absolute error = 4.4757869063444e-19 relative error = 4.4881659643888727435879663830843e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.849 Order of pole = 2.182 x[1] = -1.547 y[1] (analytic) = -0.99694727288290570592692260273558 y[1] (numeric) = -0.99694727288290570641853954544667 absolute error = 4.9161694271109e-19 relative error = 4.9312231056058248413181250077702e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.848 Order of pole = 2.182 x[1] = -1.546 y[1] (analytic) = -0.99665243219093139108734376838494 y[1] (numeric) = -0.99665243219093139162337179468994 absolute error = 5.3602802630500e-19 relative error = 5.3782844348922600844891253091782e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.848 Order of pole = 2.182 x[1] = -1.545 y[1] (analytic) = -0.9963573224629428641727558060101 y[1] (numeric) = -0.99635732246294286475356958328936 absolute error = 5.8081377727926e-19 relative error = 5.8293722963115171374394052083119e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.847 Order of pole = 2.182 x[1] = -1.544 y[1] (analytic) = -0.99606194338200986028165974190967 y[1] (numeric) = -0.99606194338200986090763578064006 absolute error = 6.2597603873039e-19 relative error = 6.2845091401139452443132426461341e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.846 Order of pole = 2.183 x[1] = -1.543 y[1] (analytic) = -0.99576629463081131840110138422489 y[1] (numeric) = -0.99576629463081131907261804523349 absolute error = 6.7151666100860e-19 relative error = 6.7437175231721457106110570860871e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.845 Order of pole = 2.183 x[1] = -1.542 y[1] (analytic) = -0.99547037589163507932586563642001 y[1] (numeric) = -0.99547037589163508004330313815813 absolute error = 7.1743750173812e-19 relative error = 7.2070201094182918834080948695685e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.844 Order of pole = 2.183 x[1] = -1.541 y[1] (analytic) = -0.9951741868463775845129875998069 y[1] (numeric) = -0.99517418684637758527672802564438 absolute error = 7.6374042583748e-19 relative error = 7.6744396702823301421282971563072e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.843 Order of pole = 2.183 x[1] = -1.54 y[1] (analytic) = -0.99487772717654357587939463874932 y[1] (numeric) = -0.99487772717654357668982194428914 absolute error = 8.1042730553982e-19 relative error = 8.1459990851318718811769539885711e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.843 Order of pole = 2.183 x[1] = -1.539 y[1] (analytic) = -0.99458099656324579655053191688854 y[1] (numeric) = -0.99458099656324579740803193730166 absolute error = 8.5750002041312e-19 relative error = 8.6217213417126780645327370231782e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.842 Order of pole = 2.183 x[1] = -1.538 y[1] (analytic) = -0.99428399468720469256786239782779 y[1] (numeric) = -0.99428399468720469347282285520832 absolute error = 9.0496045738053e-19 relative error = 9.1016295365915520032398576487820e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.841 Order of pole = 2.183 x[1] = -1.537 y[1] (analytic) = -0.99398672122874811556317093961612 y[1] (numeric) = -0.9939867212287481165159814503567 absolute error = 9.5281051074058e-19 relative error = 9.5857468755994361678611151251842e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.84 Order of pole = 2.183 x[1] = -1.536 y[1] (analytic) = -0.99368917586781102640764089949904 y[1] (numeric) = -0.99368917586781102740869298168646 absolute error = 1.00105208218742e-18 relative error = 1.0074096674276227095828578113088e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.839 Order of pole = 2.183 x[1] = -1.535 y[1] (analytic) = -0.99339135828393519984371060417091 y[1] (numeric) = -0.993391358283935200893397685002 absolute error = 1.04968708083109e-18 relative error = 1.0566702358317316118832357218698e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.838 Order of pole = 2.183 x[1] = -1.534 y[1] (analytic) = -0.99309326815626893010775613158899 y[1] (numeric) = -0.9930932681562689312064735548067 absolute error = 1.09871742321771e-18 relative error = 1.1063587464020756028167833246321e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.838 Order of pole = 2.184 x[1] = -1.533 y[1] (analytic) = -0.99279490516356673755168609370703 y[1] (numeric) = -0.99279490516356673869983112705671 absolute error = 1.14814503334968e-18 relative error = 1.1564775638735965690974956595543e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.837 Order of pole = 2.184 x[1] = -1.532 y[1] (analytic) = -0.99249626898418907627157350567385 y[1] (numeric) = -0.99249626898418907746954534837972 absolute error = 1.19797184270587e-18 relative error = 1.2070290641313778525357612471240e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.836 Order of pole = 2.184 x[1] = -1.531 y[1] (analytic) = -0.99219735929610204275148937653489 y[1] (numeric) = -0.99219735929610204399968916679669 absolute error = 1.24819979026180e-18 relative error = 1.2580156342557841870687258775899e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.835 Order of pole = 2.184 x[1] = -1.53 y[1] (analytic) = -0.99189817577687708553074235968741 y[1] (numeric) = -0.9918981757768770868295731821972 absolute error = 1.29883082250979e-18 relative error = 1.3094396725677172694639369014948e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.834 Order of pole = 2.184 x[1] = -1.529 y[1] (analytic) = -0.99159871810369071590276865868826 y[1] (numeric) = -0.99159871810369071725263555216736 absolute error = 1.34986689347910e-18 relative error = 1.3613035886740078019437132978283e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.833 Order of pole = 2.184 x[1] = -1.528 y[1] (analytic) = -0.9912989859533242196539563959113 y[1] (numeric) = -0.99129898595332422105526636066732 absolute error = 1.40130996475602e-18 relative error = 1.4136098035129043707947283048618e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.833 Order of pole = 2.184 x[1] = -1.527 y[1] (analytic) = -0.99099897900216336985072881841382 y[1] (numeric) = -0.99099897900216337130389082391786 absolute error = 1.45316200550404e-18 relative error = 1.4663607493997909753290032157462e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.832 Order of pole = 2.184 x[1] = -1.526 y[1] (analytic) = -0.99069869692619814068325103761255 y[1] (numeric) = -0.99069869692619814218867603009639 absolute error = 1.50542499248384e-18 relative error = 1.5195588700728716815427850420889e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.831 Order of pole = 2.184 x[1] = -1.525 y[1] (analytic) = -0.99039813940102242237416547740178 y[1] (numeric) = -0.9903981394010224239322663874752 absolute error = 1.55810091007342e-18 relative error = 1.5732066207391458659193953597859e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.83 Order of pole = 2.184 x[1] = -1.524 memory used=68.6MB, alloc=4.4MB, time=10.34 y[1] (analytic) = -0.99009730610183373716080183958421 y[1] (numeric) = -0.9900973061018337387719935898723 absolute error = 1.61119175028809e-18 relative error = 1.6273064681203923009617351816590e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.829 Order of pole = 2.184 x[1] = -1.523 y[1] (analytic) = -0.98979619670343295635934818633987 y[1] (numeric) = -0.98979619670343295802404769914035 absolute error = 1.66469951280048e-18 relative error = 1.6818608904993241877552077497863e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.828 Order of pole = 2.185 x[1] = -1.522 y[1] (analytic) = -0.98949481088022401851951068734359 y[1] (numeric) = -0.98949481088022402023813689230419 absolute error = 1.71862620496060e-18 relative error = 1.7368723777659462569463311882731e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.828 Order of pole = 2.185 x[1] = -1.521 y[1] (analytic) = -0.98919314830621364867823068446841 y[1] (numeric) = -0.98919314830621365045120452628411 absolute error = 1.77297384181570e-18 relative error = 1.7923434314638620790031902852358e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.827 Order of pole = 2.185 x[1] = -1.52 y[1] (analytic) = -0.9888912086550110787210689901915 y[1] (numeric) = -0.98889120865501108054881343632181 absolute error = 1.82774444613031e-18 relative error = 1.8482765648369161893603363054775e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.826 Order of pole = 2.185 x[1] = -1.519 y[1] (analytic) = -0.98858899159982776885990875726318 y[1] (numeric) = -0.98858899159982777074284880566923 absolute error = 1.88294004840605e-18 relative error = 1.9046743028757574567217007483834e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.825 Order of pole = 2.185 x[1] = -1.518 y[1] (analytic) = -0.9882864968134771302356698373165 y[1] (numeric) = -0.98828649681347713217423252421812 absolute error = 1.93856268690162e-18 relative error = 1.9615391823647388328628038048649e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.824 Order of pole = 2.185 x[1] = -1.517 y[1] (analytic) = -0.98798372396837424865476928529662 y[1] (numeric) = -0.98798372396837425064938369294921 absolute error = 1.99461440765259e-18 relative error = 2.0188737519287700323248566785629e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.823 Order of pole = 2.185 x[1] = -1.516 y[1] (analytic) = -0.98768067273653560946810456528295 y[1] (numeric) = -0.98768067273653561151920182977417 absolute error = 2.05109726449122e-18 relative error = 2.0766805720803563615470068385480e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.823 Order of pole = 2.185 x[1] = -1.515 y[1] (analytic) = -0.98737734278957882360137807187295 y[1] (numeric) = -0.98737734278957882570939139093926 absolute error = 2.10801331906631e-18 relative error = 2.1349622152668245506855357632700e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.822 Order of pole = 2.185 x[1] = -1.514 y[1] (analytic) = -0.98707373379872235474562380020178 y[1] (numeric) = -0.9870737337987223569109884410647 absolute error = 2.16536464086292e-18 relative error = 2.1937212659175743508826247508058e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.821 Order of pole = 2.185 x[1] = -1.513 y[1] (analytic) = -0.98676984543478524771683937729389 y[1] (numeric) = -0.98676984543478524993999268451601 absolute error = 2.22315330722212e-18 relative error = 2.2529603204915185556353166326987e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.82 Order of pole = 2.185 x[1] = -1.512 y[1] (analytic) = -0.98646567736818685799366920818855 y[1] (numeric) = -0.98646567736818686027505061154926 absolute error = 2.28138140336071e-18 relative error = 2.3126819875246514891918986440706e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.819 Order of pole = 2.185 x[1] = -1.511 y[1] (analytic) = -0.98616122926894658244212719255684 y[1] (numeric) = -0.98616122926894658478217821494769 absolute error = 2.34005102239085e-18 relative error = 2.3728888876776858595646389665985e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.818 Order of pole = 2.185 x[1] = -1.51 y[1] (analytic) = -0.98585650080668359123639033173802 y[1] (numeric) = -0.98585650080668359363555459707772 absolute error = 2.39916426533970e-18 relative error = 2.4335836537838600228242745386540e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.818 Order of pole = 2.185 x[1] = -1.509 y[1] (analytic) = -0.98555149165061656098473757267363 y[1] (numeric) = -0.98555149165061656344346081384267 absolute error = 2.45872324116904e-18 relative error = 2.4947689308968860539507799085391e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.817 Order of pole = 2.186 x[1] = -1.508 y[1] (analytic) = -0.98524620146956340906975142451197 y[1] (numeric) = -0.98524620146956341158848149130677 absolute error = 2.51873006679480e-18 relative error = 2.5564473763389683497585516048640e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.816 Order of pole = 2.186 x[1] = -1.507 y[1] (analytic) = -0.98494062993194102921194323609649 y[1] (numeric) = -0.98494062993194103179113010320307 absolute error = 2.57918686710658e-18 relative error = 2.6186216597489746108309372734870e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.815 Order of pole = 2.186 x[1] = -1.506 y[1] (analytic) = -0.9846347767057650282660065385424 y[1] (numeric) = -0.98463477670576503090610231352956 absolute error = 2.64009577498716e-18 relative error = 2.6812944631307600062249196219686e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.814 Order of pole = 2.186 x[1] = -1.505 y[1] (analytic) = -0.98432864145864946425894653704764 y[1] (numeric) = -0.98432864145864946696040546837953 absolute error = 2.70145893133189e-18 relative error = 2.7444684809015335779089118047396e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.813 Order of pole = 2.186 x[1] = -1.504 y[1] (analytic) = -0.98402222385780658567937768037798 y[1] (numeric) = -0.98402222385780658844265616544614 absolute error = 2.76327848506816e-18 relative error = 2.8081464199404707015677804699891e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.813 Order of pole = 2.186 x[1] = -1.503 y[1] (analytic) = -0.9837155235700465720273252455123 y[1] (numeric) = -0.98371552357004657485288183868696 absolute error = 2.82555659317466e-18 relative error = 2.8723309996372778189136590316456e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.812 Order of pole = 2.186 x[1] = -1.502 y[1] (analytic) = -0.98340854026177727563391104913087 y[1] (numeric) = -0.98340854026177727852220646983164 absolute error = 2.88829542070077e-18 relative error = 2.9370249519410555552141655669615e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.811 Order of pole = 2.186 x[1] = -1.501 y[1] (analytic) = -0.98310127359900396476034773737684 y[1] (numeric) = -0.98310127359900396771184487816263 absolute error = 2.95149714078579e-18 relative error = 3.0022310214091663728823194317001e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.81 Order of pole = 2.186 x[1] = -1.5 y[1] (analytic) = -0.98279372324732906798571061101467 y[1] (numeric) = -0.98279372324732907100087454569285 absolute error = 3.01516393467818e-18 relative error = 3.0679519652562802334953811947806e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.809 Order of pole = 2.186 x[1] = -1.499 y[1] (analytic) = -0.98248588887195191989300061514712 y[1] (numeric) = -0.98248588887195192297229860690185 absolute error = 3.07929799175473e-18 relative error = 3.1341905534035177201947725587566e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.808 Order of pole = 2.186 x[1] = -1.498 y[1] (analytic) = -0.98217777013766850806305696142897 y[1] (numeric) = -0.98217777013766851120695847096862 absolute error = 3.14390150953965e-18 relative error = 3.2009495685276811432167806311019e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.808 Order of pole = 2.186 x[1] = -1.497 y[1] (analytic) = -0.98186936670887122138592285662624 y[1] (numeric) = -0.98186936670887122459489955034995 absolute error = 3.20897669372371e-18 relative error = 3.2682318061107067147565766047198e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=72.4MB, alloc=4.4MB, time=10.93 Complex estimate of poles used Radius of convergence = 1.807 Order of pole = 2.186 x[1] = -1.496 y[1] (analytic) = -0.98156067824954859969931298480788 y[1] (numeric) = -0.98156067824954860297383874299108 absolute error = 3.27452575818320e-18 relative error = 3.3360400744891044533779216866359e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.806 Order of pole = 2.186 x[1] = -1.495 y[1] (analytic) = -0.98125170442328508476387673181458 y[1] (numeric) = -0.98125170442328508810442765681356 absolute error = 3.34055092499898e-18 relative error = 3.4043771949036614467749191975795e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.805 Order of pole = 2.186 x[1] = -1.494 y[1] (analytic) = -0.98094244489326077258499665031969 y[1] (numeric) = -0.98094244489326077599205107479502 absolute error = 3.40705442447533e-18 relative error = 3.4732460015491139185312772831495e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.804 Order of pole = 2.186 x[1] = -1.493 y[1] (analytic) = -0.98063289932225116709090734216865 y[1] (numeric) = -0.98063289932225117056494583732751 absolute error = 3.47403849515886e-18 relative error = 3.5426493416240536664554777443088e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.803 Order of pole = 2.186 x[1] = -1.492 y[1] (analytic) = -0.98032306737262693517696578214744 y[1] (numeric) = -0.98032306737262693871847116600474 absolute error = 3.54150538385730e-18 relative error = 3.6125900753808862809917912084207e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.803 Order of pole = 2.186 x[1] = -1.491 y[1] (analytic) = -0.98001294870635366312595012427394 y[1] (numeric) = -0.98001294870635366673540746993223 absolute error = 3.60945734565829e-18 relative error = 3.6830710761759642116380205078662e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.802 Order of pole = 2.186 x[1] = -1.49 y[1] (analytic) = -0.9797025429849916144143102185174 y[1] (numeric) = -0.97970254298499161809220686246542 absolute error = 3.67789664394802e-18 relative error = 3.7540952305197424691639687417919e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.801 Order of pole = 2.186 x[1] = -1.489 y[1] (analytic) = -0.97939184986969548891433942291502 y[1] (numeric) = -0.97939184986969549266116497334495 absolute error = 3.74682555042993e-18 relative error = 3.8256654381271719429689665122346e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.8 Order of pole = 2.186 x[1] = -1.488 y[1] (analytic) = -0.97908086902121418350228382375771 y[1] (numeric) = -0.97908086902121418731853016890099 absolute error = 3.81624634514328e-18 relative error = 3.8977846119681373142930135077148e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.799 Order of pole = 2.186 x[1] = -1.487 y[1] (analytic) = -0.97876960009989055408245167524115 y[1] (numeric) = -0.97876960009989055796861299172279 absolute error = 3.88616131648164e-18 relative error = 3.9704556783179912640656180395440e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.798 Order of pole = 2.186 x[1] = -1.486 y[1] (analytic) = -0.97845804276566117903743274010727 y[1] (numeric) = -0.97845804276566118299400550131862 absolute error = 3.95657276121135e-18 relative error = 4.0436815768082368076127072880973e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.798 Order of pole = 2.186 x[1] = -1.485 y[1] (analytic) = -0.97814619667805612411458425471556 y[1] (numeric) = -0.97814619667805612814206723920551 absolute error = 4.02748298448995e-18 relative error = 4.1174652604773586057112010134162e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.797 Order of pole = 2.186 x[1] = -1.484 y[1] (analytic) = -0.9778340614961987087589874560637 y[1] (numeric) = -0.97783406149619871285788175594818 absolute error = 4.09889429988448e-18 relative error = 4.1918096958217018394186082372359e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.796 Order of pole = 2.186 x[1] = -1.483 y[1] (analytic) = -0.97752163687880527390312599490091 y[1] (numeric) = -0.97752163687880527807393502429064 absolute error = 4.17080902938973e-18 relative error = 4.2667178628464811185763235512216e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.795 Order of pole = 2.186 x[1] = -1.482 y[1] (analytic) = -0.97720892248418495122358511862289 y[1] (numeric) = -0.97720892248418495546681462206934 absolute error = 4.24322950344645e-18 relative error = 4.3421927551169304742188020432684e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.794 Order of pole = 2.186 x[1] = -1.481 y[1] (analytic) = -0.97689591797023943387511824048 y[1] (numeric) = -0.97689591797023943819127630143948 absolute error = 4.31615806095948e-18 relative error = 4.4182373798095543333995654664383e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.793 Order of pole = 2.186 x[1] = -1.48 y[1] (analytic) = -0.97658262299446274871247541814507 y[1] (numeric) = -0.97658262299446275310207246746086 absolute error = 4.38959704931579e-18 relative error = 4.4948547577634699939716844282946e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.793 Order of pole = 2.186 x[1] = -1.479 y[1] (analytic) = -0.97626903721394103001043634524673 y[1] (numeric) = -0.97626903721394103447398516964922 absolute error = 4.46354882440249e-18 relative error = 4.5720479235319037962918696901639e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.792 Order of pole = 2.186 x[1] = -1.478 y[1] (analytic) = -0.97595516028535229469253871445058 y[1] (numeric) = -0.97595516028535229923055446507526 absolute error = 4.53801575062468e-18 relative error = 4.6498199254337086699458630584183e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.791 Order of pole = 2.186 x[1] = -1.477 y[1] (analytic) = -0.97564099186496621907904124043354 y[1] (numeric) = -0.97564099186496622369204144135689 absolute error = 4.61300020092335e-18 relative error = 4.7281738256051188842657536592473e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.79 Order of pole = 2.186 x[1] = -1.476 y[1] (analytic) = -0.97532653160864391716470923601568 y[1] (numeric) = -0.97532653160864392185321379280879 absolute error = 4.68850455679311e-18 relative error = 4.8071127000515175117167220991017e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.789 Order of pole = 2.186 x[1] = -1.475 y[1] (analytic) = -0.9750117791718377204370594151553 y[1] (numeric) = -0.97501177917183772520159062345518 absolute error = 4.76453120829988e-18 relative error = 4.8866396386993505069116995568592e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.788 Order of pole = 2.186 x[1] = -1.474 y[1] (analytic) = -0.97469673420959095924574955284289 y[1] (numeric) = -0.97469673420959096408683210694135 absolute error = 4.84108255409846e-18 relative error = 4.9667577454481062001694108905774e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.788 Order of pole = 2.186 x[1] = -1.473 y[1] (analytic) = -0.97438139637653774573384776451211 y[1] (numeric) = -0.97438139637653775065200876596223 absolute error = 4.91816100145012e-18 relative error = 5.0474701382225045812500151012199e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.787 Order of pole = 2.186 x[1] = -1.472 y[1] (analytic) = -0.97406576532690275834176547678335 y[1] (numeric) = -0.97406576532690276333753444302333 absolute error = 4.99576896623998e-18 relative error = 5.1287799490246612740115128621881e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.786 Order of pole = 2.186 x[1] = -1.471 y[1] (analytic) = -0.9737498407145010278946876475282 y[1] (numeric) = -0.97374984071450103296859652052258 absolute error = 5.07390887299438e-18 relative error = 5.2106903239864320875994097943873e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.785 Order of pole = 2.186 x[1] = -1.47 y[1] (analytic) = -0.9734336221927377252843834567511 y[1] (numeric) = -0.97343362219273773043696661164931 absolute error = 5.15258315489821e-18 relative error = 5.2932044234219082890527330788934e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=76.3MB, alloc=4.4MB, time=11.52 Complex estimate of poles used Radius of convergence = 1.784 Order of pole = 2.186 x[1] = -1.469 y[1] (analytic) = -0.97311710941460795075633053098479 y[1] (numeric) = -0.97311710941460795598812478479679 absolute error = 5.23179425381200e-18 relative error = 5.3763254218798579711696630741334e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.783 Order of pole = 2.186 x[1] = -1.468 y[1] (analytic) = -0.9728003020326965248131357831437 y[1] (numeric) = -0.97280030203269653012468040343282 absolute error = 5.31154462028912e-18 relative error = 5.4600565081964737372158324791870e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.783 Order of pole = 2.186 x[1] = -1.467 y[1] (analytic) = -0.97248319969917778074528614742996 y[1] (numeric) = -0.9724831996991777861371228610227 absolute error = 5.39183671359274e-18 relative error = 5.5444008855480680579658040098903e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.782 Order of pole = 2.186 x[1] = -1.466 y[1] (analytic) = -0.97216580206581535880031286529028 y[1] (numeric) = -0.97216580206581536427298586700304 absolute error = 5.47267300171276e-18 relative error = 5.6293617715039327573381395471675e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.781 Order of pole = 2.186 x[1] = -1.465 y[1] (analytic) = -0.97184810878396200200150353393055 y[1] (numeric) = -0.9718481087839620075555594953132 absolute error = 5.55405596138265e-18 relative error = 5.7149423980793018287982065750201e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.78 Order of pole = 2.186 x[1] = -1.464 y[1] (analytic) = -0.97153011950455935362734686385622 y[1] (numeric) = -0.97153011950455935926333494195238 absolute error = 5.63598807809616e-18 relative error = 5.8011460117883772144733633960327e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.779 Order of pole = 2.186 x[1] = -1.463 y[1] (analytic) = -0.97121183387813775636294600666706 y[1] (numeric) = -0.97121183387813776208141785279107 absolute error = 5.71847184612401e-18 relative error = 5.8879758736975315216861581587595e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.779 Order of pole = 2.186 x[1] = -1.462 y[1] (analytic) = -0.97089325155481605313468740924006 y[1] (numeric) = -0.97089325155481605893619717777044 absolute error = 5.80150976853038e-18 relative error = 5.9754352594785032588245791497529e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.778 Order of pole = 2.186 x[1] = -1.461 y[1] (analytic) = -0.97057437218430138963950342582549 y[1] (numeric) = -0.9705743721843013955246077830149 absolute error = 5.88510435718941e-18 relative error = 6.0635274594618015146848552946219e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.777 Order of pole = 2.186 x[1] = -1.46 y[1] (analytic) = -0.97025519541588901858011837580081 y[1] (numeric) = -0.97025519541588902454937650860232 absolute error = 5.96925813280151e-18 relative error = 6.1522557786901150085021767010092e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.776 Order of pole = 2.185 x[1] = -1.459 y[1] (analytic) = -0.96993572089846210561771937221262 y[1] (numeric) = -0.96993572089846211167169299712227 absolute error = 6.05397362490965e-18 relative error = 6.2416235369719013694011685608915e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.775 Order of pole = 2.185 x[1] = -1.458 y[1] (analytic) = -0.96961594828049153705354506512571 y[1] (numeric) = -0.96961594828049154319279843704114 absolute error = 6.13925337191543e-18 relative error = 6.3316340689349513751436808846634e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.774 Order of pole = 2.185 x[1] = -1.457 y[1] (analytic) = -0.9692958772100357292509374445245 y[1] (numeric) = -0.96929587721003573547603736561971 absolute error = 6.22509992109521e-18 relative error = 6.4222907240802175456960913401441e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.774 Order of pole = 2.185 x[1] = -1.456 y[1] (analytic) = -0.96897550733474043980945403040919 y[1] (numeric) = -0.96897550733474044612096985902516 absolute error = 6.31151582861597e-18 relative error = 6.5135968668355677230280912386969e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.773 Order of pole = 2.185 x[1] = -1.455 y[1] (analytic) = -0.96865483830183858050269014312584 y[1] (numeric) = -0.96865483830183858690119380267701 absolute error = 6.39850365955117e-18 relative error = 6.6055558766097427892812653182448e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.772 Order of pole = 2.185 x[1] = -1.454 y[1] (analytic) = -0.96833386975815003199151349519579 y[1] (numeric) = -0.96833386975815003847757948309226 absolute error = 6.48606598789647e-18 relative error = 6.6981711478463750088820224025002e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.771 Order of pole = 2.185 x[1] = -1.453 y[1] (analytic) = -0.96801260135008146032446607729074 y[1] (numeric) = -0.96801260135008146689867147387606 absolute error = 6.57420539658532e-18 relative error = 6.7914460900780780591001635598513e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.77 Order of pole = 2.185 x[1] = -1.452 y[1] (analytic) = -0.96769103272362613523714122585889 y[1] (numeric) = -0.96769103272362614190006570336336 absolute error = 6.66292447750447e-18 relative error = 6.8853841279806611805473468132309e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.769 Order of pole = 2.185 x[1] = -1.451 y[1] (analytic) = -0.96736916352436375026239685856708 y[1] (numeric) = -0.96736916352436375701462269007639 absolute error = 6.75222583150931e-18 relative error = 6.9799887014273752984313228803727e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.769 Order of pole = 2.185 x[1] = -1.45 y[1] (analytic) = -0.96704699339746024466331914650202 y[1] (numeric) = -0.96704699339746025150543121494119 absolute error = 6.84211206843917e-18 relative error = 7.0752632655433262191217580031284e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.768 Order of pole = 2.185 x[1] = -1.449 y[1] (analytic) = -0.96672452198766762720090435928831 y[1] (numeric) = -0.96672452198766763413349016642079 absolute error = 6.93258580713248e-18 relative error = 7.1712112907599524521616878747295e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.767 Order of pole = 2.185 x[1] = -1.448 y[1] (analytic) = -0.96640174893932380174848027124549 y[1] (numeric) = -0.9664017489393238087721299466872 absolute error = 7.02364967544171e-18 relative error = 7.2678362628694856324659374802754e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.766 Order of pole = 2.185 x[1] = -1.447 y[1] (analytic) = -0.96607867389635239476494235373313 y[1] (numeric) = -0.9660786738963524018802486639815 absolute error = 7.11530631024837e-18 relative error = 7.3651416830796839405939636061630e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.765 Order of pole = 2.185 x[1] = -1.446 y[1] (analytic) = -0.96575529650226258463893400123229 y[1] (numeric) = -0.96575529650226259184649235871001 absolute error = 7.20755835747772e-18 relative error = 7.4631310680684773591475065311028e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.764 Order of pole = 2.184 x[1] = -1.445 y[1] (analytic) = -0.96543161640014893291615424678885 y[1] (numeric) = -0.96543161640014894021656271890232 absolute error = 7.30040847211347e-18 relative error = 7.5618079500388151964924631945640e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.764 Order of pole = 2.184 x[1] = -1.444 y[1] (analytic) = -0.96510763323269121742203081650588 y[1] (numeric) = -0.96510763323269122481589013471815 absolute error = 7.39385931821227e-18 relative error = 7.6611758767735097359335439796635e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.763 Order of pole = 2.184 x[1] = -1.443 y[1] (analytic) = -0.96478334664215426729205095311824 y[1] (numeric) = -0.96478334664215427477996452203636 absolute error = 7.48791356891812e-18 relative error = 7.7612384116902113632278132374181e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=80.1MB, alloc=4.4MB, time=12.10 Complex estimate of poles used Radius of convergence = 1.762 Order of pole = 2.184 x[1] = -1.442 y[1] (analytic) = -0.96445875627038779992209720561406 y[1] (numeric) = -0.96445875627038780750467111209072 absolute error = 7.58257390647666e-18 relative error = 7.8619991338964746266415756403138e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.761 Order of pole = 2.184 x[1] = -1.441 y[1] (analytic) = -0.96413386175882625985119033568029 y[1] (numeric) = -0.96413386175882626752903335792954 absolute error = 7.67784302224925e-18 relative error = 7.9634616382448227171872436356261e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.76 Order of pole = 2.184 x[1] = -1.44 y[1] (analytic) = -0.96380866274848865958909663273718 y[1] (numeric) = -0.96380866274848866736282024946424 absolute error = 7.77372361672706e-18 relative error = 8.0656295353880392499680380097574e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.759 Order of pole = 2.184 x[1] = -1.439 y[1] (analytic) = -0.96348315887997842240131225778168 y[1] (numeric) = -0.96348315887997843027153065732649 absolute error = 7.87021839954481e-18 relative error = 8.1685064518343148652525785329130e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.759 Order of pole = 2.184 x[1] = -1.438 y[1] (analytic) = -0.96315734979348322706399275246901 y[1] (numeric) = -0.96315734979348323503132284196364 absolute error = 7.96733008949463e-18 relative error = 8.2720960300027369126476813105565e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.758 Order of pole = 2.184 x[1] = -1.437 y[1] (analytic) = -0.96283123512877485460145155411311 y[1] (numeric) = -0.96283123512877486266651296865264 absolute error = 8.06506141453953e-18 relative error = 8.3764019282785939735353575562944e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.757 Order of pole = 2.184 x[1] = -1.436 y[1] (analytic) = -0.96250481452520903701890724986093 y[1] (numeric) = -0.96250481452520904518232236168786 absolute error = 8.16341511182693e-18 relative error = 8.4814278210689629460398742333265e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.756 Order of pole = 2.184 x[1] = -1.435 y[1] (analytic) = -0.9621780876217253080432153844745 y[1] (numeric) = -0.96217808762172531630560931217639 absolute error = 8.26239392770189e-18 relative error = 8.5871773988582058473684040035461e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.755 Order of pole = 2.184 x[1] = -1.434 y[1] (analytic) = -0.96185105405684685588437690621414 y[1] (numeric) = -0.96185105405684686424637752393447 absolute error = 8.36200061772033e-18 relative error = 8.6936543682636782586701110236166e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.754 Order of pole = 2.183 x[1] = -1.433 y[1] (analytic) = -0.96152371346868037803067179453142 y[1] (numeric) = -0.9615237134686803864929097411934 absolute error = 8.46223794666198e-18 relative error = 8.8008624520913801519088139379375e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.754 Order of pole = 2.183 x[1] = -1.432 y[1] (analytic) = -0.96119606549491593809032306192131 y[1] (numeric) = -0.96119606549491594665343175046457 absolute error = 8.56310868854326e-18 relative error = 8.9088053893917576779146015527386e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.753 Order of pole = 2.183 x[1] = -1.431 y[1] (analytic) = -0.96086810977282682469265316061909 y[1] (numeric) = -0.96086810977282683335726878724909 absolute error = 8.66461562663000e-18 relative error = 9.0174869355155632550169521968472e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.752 Order of pole = 2.183 x[1] = -1.43 y[1] (analytic) = -0.96053984593926941246175185312283 y[1] (numeric) = -0.96053984593926942122851340657276 absolute error = 8.76676155344993e-18 relative error = 9.1269108621697018689517071282355e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.751 Order of pole = 2.183 x[1] = -1.429 y[1] (analytic) = -0.96021127363068302507573182403885 y[1] (numeric) = -0.96021127363068303394528109484402 absolute error = 8.86954927080517e-18 relative error = 9.2370809574733037308043554458546e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.75 Order of pole = 2.183 x[1] = -1.428 y[1] (analytic) = -0.95988239248308980042470571974516 y[1] (numeric) = -0.95988239248308980939768730952953 absolute error = 8.97298158978437e-18 relative error = 9.3480010260136598588352027584601e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.749 Order of pole = 2.183 x[1] = -1.427 y[1] (analytic) = -0.95955320213209455788067590210031 y[1] (numeric) = -0.95955320213209456695773723287514 absolute error = 9.07706133077483e-18 relative error = 9.4596748889023648194292724444114e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.749 Order of pole = 2.183 x[1] = -1.426 y[1] (analytic) = -0.95922370221288466769258599314654 y[1] (numeric) = -0.95922370221288467687437731662098 absolute error = 9.18179132347444e-18 relative error = 9.5721063838315009790697915048082e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.748 Order of pole = 2.183 x[1] = -1.425 y[1] (analytic) = -0.95889389236022992251984126971448 y[1] (numeric) = -0.95889389236022993180701567661783 absolute error = 9.28717440690335e-18 relative error = 9.6852993651297711677548517462325e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.747 Order of pole = 2.182 x[1] = -1.424 y[1] (analytic) = -0.95856377220848241111766314027765 y[1] (numeric) = -0.95856377220848242051087656969327 absolute error = 9.39321342941562e-18 relative error = 9.7992577038188410971414353295847e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.746 Order of pole = 2.182 x[1] = -1.423 y[1] (analytic) = -0.9582333413915763941877013015719 y[1] (numeric) = -0.95823334139157640368761255028252 absolute error = 9.49991124871062e-18 relative error = 9.9139852876696526770345353692239e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.745 Order of pole = 2.182 x[1] = -1.422 y[1] (analytic) = -0.95790259954302818240738572962541 y[1] (numeric) = -0.95790259954302819201465646146964 absolute error = 9.60727073184423e-18 relative error = 1.0029486021258761022941511164645e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.744 Order of pole = 2.182 x[1] = -1.421 y[1] (analytic) = -0.95757154629593601665155940917519 y[1] (numeric) = -0.95757154629593602636685416441517 absolute error = 9.71529475523998e-18 relative error = 1.0145763826024842082597474374966e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.744 Order of pole = 2.182 x[1] = -1.42 y[1] (analytic) = -0.95724018128297995041999164720824 y[1] (numeric) = -0.95724018128297996024397785190813 absolute error = 9.82398620469989e-18 relative error = 1.0262822640325121243601065907435e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.743 Order of pole = 2.182 x[1] = -1.419 y[1] (analytic) = -0.95690850413642173448443095078695 y[1] (numeric) = -0.95690850413642174441777892620214 absolute error = 9.93334797541519e-18 relative error = 1.0380666419491911508760743471879e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.742 Order of pole = 2.182 x[1] = -1.418 y[1] (analytic) = -0.95657651448810470376891577662537 y[1] (numeric) = -0.95657651448810471381229874860224 absolute error = 1.004338297197687e-17 relative error = 1.0499299135889209909554149692513e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.741 Order of pole = 2.182 x[1] = -1.417 y[1] (analytic) = -0.95624421196945366647712098029523 y[1] (numeric) = -0.95624421196945367663121508868128 absolute error = 1.015409410838605e-17 relative error = 1.0618724778969342518421494337161e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.74 Order of pole = 2.181 x[1] = -1.416 y[1] (analytic) = -0.95591159621147479548057750667678 y[1] (numeric) = -0.95591159621147480574606181474089 absolute error = 1.026548430806411e-17 relative error = 1.0738947355329596089924391883926e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.74 Order of pole = 2.181 memory used=83.9MB, alloc=4.4MB, time=12.69 x[1] = -1.415 y[1] (analytic) = -0.95557866684475552198166277054223 y[1] (numeric) = -0.95557866684475553235921927440492 absolute error = 1.037755650386269e-17 relative error = 1.0859970888768952092901079601395e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.739 Order of pole = 2.181 x[1] = -1.414 y[1] (analytic) = -0.95524542349946443146531927717988 y[1] (numeric) = -0.9552454234994644419556329152534 absolute error = 1.049031363807352e-17 relative error = 1.0981799420344882192700409958888e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.738 Order of pole = 2.181 x[1] = -1.413 y[1] (analytic) = -0.95491186580535116195351932794021 y[1] (numeric) = -0.95491186580535117255727799037817 absolute error = 1.060375866243796e-17 relative error = 1.1104437008430080353458769398143e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.737 Order of pole = 2.181 x[1] = -1.412 y[1] (analytic) = -0.95457799339174630457655414471361 y[1] (numeric) = -0.95457799339174631529444868287006 absolute error = 1.071789453815645e-17 relative error = 1.1227887728769341610051312747316e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.736 Order of pole = 2.181 x[1] = -1.411 y[1] (analytic) = -0.95424380588756130647528643083196 y[1] (numeric) = -0.95424380588756131730801066672967 absolute error = 1.083272423589771e-17 relative error = 1.1352155674536420886900720073585e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.735 Order of pole = 2.181 x[1] = -1.41 y[1] (analytic) = -0.95390930292128837604856626391648 y[1] (numeric) = -0.95390930292128838699681699972426 absolute error = 1.094825073580778e-17 relative error = 1.1477244956390966855898180995696e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.735 Order of pole = 2.181 x[1] = -1.409 y[1] (analytic) = -0.95357448412100039056007128896309 y[1] (numeric) = -0.95357448412100040162454831648188 absolute error = 1.106447702751879e-17 relative error = 1.1603159702535416356906561293180e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.734 Order of pole = 2.18 x[1] = -1.408 y[1] (analytic) = -0.95323934911435080611889344764967 y[1] (numeric) = -0.95323934911435081730029955780728 absolute error = 1.118140611015761e-17 relative error = 1.1729904058772007338927152131661e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.733 Order of pole = 2.18 x[1] = -1.407 y[1] (analytic) = -0.95290389752857357004825594264978 y[1] (numeric) = -0.95290389752857358134729693500401 absolute error = 1.129904099235423e-17 relative error = 1.1857482188559753899095832685813e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.732 Order of pole = 2.18 x[1] = -1.406 y[1] (analytic) = -0.95256812899048303565680579382206 y[1] (numeric) = -0.95256812899048304707419048607204 absolute error = 1.141738469224998e-17 relative error = 1.1985898273071499504772927872510e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.731 Order of pole = 2.18 x[1] = -1.405 y[1] (analytic) = -0.95223204312647387942698919668768 y[1] (numeric) = -0.95223204312647389096342943419318 absolute error = 1.153644023750550e-17 relative error = 1.2115156511250954780311823281078e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.73 Order of pole = 2.18 x[1] = -1.404 y[1] (analytic) = -0.95189563956252102063507894277933 y[1] (numeric) = -0.95189563956252103229128960808784 absolute error = 1.165621066530851e-17 relative error = 1.2245261119869773052829172073862e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.73 Order of pole = 2.18 x[1] = -1.403 y[1] (analytic) = -0.95155891792417954341748540640907 y[1] (numeric) = -0.95155891792417955519418442879046 absolute error = 1.177669902238139e-17 relative error = 1.2376216333584674967206144978168e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.729 Order of pole = 2.18 x[1] = -1.402 y[1] (analytic) = -0.95122187783658462129804504332064 y[1] (numeric) = -0.95122187783658463319595340830916 absolute error = 1.189790836498852e-17 relative error = 1.2508026404994570437945961488206e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.728 Order of pole = 2.18 x[1] = -1.401 y[1] (analytic) = -0.95088451892445144419104298371945 y[1] (numeric) = -0.95088451892445145621088474266281 absolute error = 1.201984175894336e-17 relative error = 1.2640695604697657610466932677492e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.727 Order of pole = 2.179 x[1] = -1.4 y[1] (analytic) = -0.95054684081207514789478913546382 y[1] (numeric) = -0.9505468408120751600372914150792 absolute error = 1.214250227961538e-17 relative error = 1.2774228221348615211751726129848e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.726 Order of pole = 2.179 x[1] = -1.399 y[1] (analytic) = -0.95020884312333074609063024290036 y[1] (numeric) = -0.95020884312333075835652325483711 absolute error = 1.226589301193675e-17 relative error = 1.2908628561715794522948648120972e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.725 Order of pole = 2.179 x[1] = -1.398 y[1] (analytic) = -0.9498705254816730648623435730781 y[1] (numeric) = -0.94987052548167307725236062348684 absolute error = 1.239001705040874e-17 relative error = 1.3043900950738359052984634279372e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.725 Order of pole = 2.179 x[1] = -1.397 y[1] (analytic) = -0.94953188751013667975092132401762 y[1] (numeric) = -0.94953188751013669226579882312557 absolute error = 1.251487749910795e-17 relative error = 1.3180049731583498881463021446010e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.724 Order of pole = 2.179 x[1] = -1.396 y[1] (analytic) = -0.94919292883133585535981846947726 y[1] (numeric) = -0.94919292883133586800029594116955 absolute error = 1.264047747169229e-17 relative error = 1.3317079265703636297795682968331e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.723 Order of pole = 2.179 x[1] = -1.395 y[1] (analytic) = -0.94885364906746448752580057137631 y[1] (numeric) = -0.94885364906746450029262066278303 absolute error = 1.276682009140672e-17 relative error = 1.3454993932893633978799795984422e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.722 Order of pole = 2.179 x[1] = -1.394 y[1] (analytic) = -0.94851404784029604807059210482947 y[1] (numeric) = -0.94851404784029606096450059591821 absolute error = 1.289390849108874e-17 relative error = 1.3593798131347995895266777544907e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.721 Order of pole = 2.178 x[1] = -1.393 y[1] (analytic) = -0.94817412477118353214859005173646 y[1] (numeric) = -0.94817412477118354517033586491013 absolute error = 1.302174581317367e-17 relative error = 1.3733496277718103844605486042926e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.721 Order of pole = 2.178 x[1] = -1.392 y[1] (analytic) = -0.94783387948105940820597192716997 y[1] (numeric) = -0.94783387948105942135630713686965 absolute error = 1.315033520969968e-17 relative error = 1.3874092807169448228583875557209e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.72 Order of pole = 2.178 x[1] = -1.391 y[1] (analytic) = -0.94749331159043557056659200852302 y[1] (numeric) = -0.94749331159043558384627185083551 absolute error = 1.327967984231249e-17 relative error = 1.4015592173438769361662563580525e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.719 Order of pole = 2.178 x[1] = -1.39 y[1] (analytic) = -0.94715242071940329466012434061737 y[1] (numeric) = -0.94715242071940330806990722288735 absolute error = 1.340978288226998e-17 relative error = 1.4157998848891363210910980308042e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.718 Order of pole = 2.178 x[1] = -1.389 y[1] (analytic) = -0.94681120648763319490797609083768 y[1] (numeric) = -0.94681120648763320844862360128406 absolute error = 1.354064751044638e-17 relative error = 1.4301317324578204180679227611921e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.717 Order of pole = 2.178 x[1] = -1.388 memory used=87.7MB, alloc=4.4MB, time=13.27 y[1] (analytic) = -0.94646966851437518528256002693439 y[1] (numeric) = -0.94646966851437519895483694427073 absolute error = 1.367227691733634e-17 relative error = 1.4445552110293202187182038809256e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.716 Order of pole = 2.178 x[1] = -1.387 y[1] (analytic) = -0.94612780641845844255558028652196 y[1] (numeric) = -0.94612780641845845636025458958059 absolute error = 1.380467430305863e-17 relative error = 1.4590707734630330868410110668597e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.716 Order of pole = 2.177 x[1] = -1.386 y[1] (analytic) = -0.94578561981829137225105120157037 y[1] (numeric) = -0.94578561981829138618889407893003 absolute error = 1.393784287735966e-17 relative error = 1.4736788745040828237891291032062e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.715 Order of pole = 2.177 x[1] = -1.385 y[1] (analytic) = -0.94544310833186157731883473342591 y[1] (numeric) = -0.94544310833186159139062059304264 absolute error = 1.407178585961673e-17 relative error = 1.4883799707890375517383208134243e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.714 Order of pole = 2.177 x[1] = -1.384 y[1] (analytic) = -0.94510027157673582954454806417464 y[1] (numeric) = -0.94510027157673584375105454301557 absolute error = 1.420650647884093e-17 relative error = 1.5031745208516170193399659885549e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.713 Order of pole = 2.177 x[1] = -1.383 y[1] (analytic) = -0.94475710917006004371175907854566 y[1] (numeric) = -0.94475710917006005805376705222553 absolute error = 1.434200797367987e-17 relative error = 1.5180629851284084303110117061321e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.712 Order of pole = 2.177 x[1] = -1.382 y[1] (analytic) = -0.94441362072855925453245385710426 y[1] (numeric) = -0.94441362072855926901074744952436 absolute error = 1.447829359242010e-17 relative error = 1.5330458259645760677097800289355e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.712 Order of pole = 2.177 x[1] = -1.381 y[1] (analytic) = -0.94406980586853759636182688626266 y[1] (numeric) = -0.9440698058685376109771934792519 absolute error = 1.461536659298924e-17 relative error = 1.5481235076195668919003939341494e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.711 Order of pole = 2.177 x[1] = -1.38 y[1] (analytic) = -0.9437256642058782857135114736899 y[1] (numeric) = -0.94372566420587830046674171664772 absolute error = 1.475323024295782e-17 relative error = 1.5632964962728121774225846950319e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.71 Order of pole = 2.177 x[1] = -1.379 y[1] (analytic) = -0.9433811953560436065914348390769 y[1] (numeric) = -0.94338119535604362148332265861781 absolute error = 1.489188781954091e-17 relative error = 1.5785652600294337344504458311895e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.709 Order of pole = 2.176 x[1] = -1.378 y[1] (analytic) = -0.94303639893407489865454952994837 y[1] (numeric) = -0.94303639893407491368589213954775 absolute error = 1.503134260959938e-17 relative error = 1.5939302689259378359546475723945e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.708 Order of pole = 2.176 x[1] = -1.377 y[1] (analytic) = -0.94269127455459254823076019034216 y[1] (numeric) = -0.94269127455459256340235809998307 absolute error = 1.517159790964091e-17 relative error = 1.6093919949359096246671178813432e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.707 Order of pole = 2.176 x[1] = -1.376 y[1] (analytic) = -0.94234582183179598219643228672826 y[1] (numeric) = -0.942345821831795997509089312549 absolute error = 1.531265702582074e-17 relative error = 1.6249509119757070161105732742773e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.707 Order of pole = 2.176 x[1] = -1.375 y[1] (analytic) = -0.94200004037946366473793717053459 y[1] (numeric) = -0.94200004037946368019246044447662 absolute error = 1.545452327394203e-17 relative error = 1.6406074959101403723989309661233e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.706 Order of pole = 2.176 x[1] = -1.374 y[1] (analytic) = -0.94165392981095309701175583010141 y[1] (numeric) = -0.94165392981095311260895580955745 absolute error = 1.559719997945604e-17 relative error = 1.6563622245581602880151934723286e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.705 Order of pole = 2.176 x[1] = -1.373 y[1] (analytic) = -0.94130748973920081971973185681078 y[1] (numeric) = -0.94130748973920083546042233427272 absolute error = 1.574069047746194e-17 relative error = 1.6722155776985334005104671514187e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.704 Order of pole = 2.176 x[1] = -1.372 y[1] (analytic) = -0.94096071977672241861613252053503 y[1] (numeric) = -0.94096071977672243450113063324136 absolute error = 1.588499811270633e-17 relative error = 1.6881680370755147741850181189447e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.703 Order of pole = 2.175 x[1] = -1.371 y[1] (analytic) = -0.940613619535612532963245418417 y[1] (numeric) = -0.94061361953561254899337165799946 absolute error = 1.603012623958246e-17 relative error = 1.7042200864045158618887021375099e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.702 Order of pole = 2.175 x[1] = -1.37 y[1] (analytic) = -0.94026618862754486695230692832585 y[1] (numeric) = -0.94026618862754488312838515045498 absolute error = 1.617607822212913e-17 relative error = 1.7203722113777659837561805361335e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.702 Order of pole = 2.175 x[1] = -1.369 y[1] (analytic) = -0.9399184266637722041066276641107 y[1] (numeric) = -0.93991842666377222042948509813997 absolute error = 1.632285743402927e-17 relative error = 1.7366248996699673835733640790537e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.701 Order of pole = 2.175 x[1] = -1.368 y[1] (analytic) = -0.93957033325512642468384929397913 y[1] (numeric) = -0.93957033325512644115431655258738 absolute error = 1.647046725860825e-17 relative error = 1.7529786409439492453502329118626e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.7 Order of pole = 2.175 x[1] = -1.367 y[1] (analytic) = -0.93922190801201852609433644593061 y[1] (numeric) = -0.93922190801201854271324753476242 absolute error = 1.661891108883181e-17 relative error = 1.7694339268563090333896611402824e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.699 Order of pole = 2.175 x[1] = -1.366 y[1] (analytic) = -0.93887315054443864635277698514245 y[1] (numeric) = -0.93887315054443866312096931244615 absolute error = 1.676819232730370e-17 relative error = 1.7859912510630507868643702931855e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.698 Order of pole = 2.175 x[1] = -1.365 y[1] (analytic) = -0.93852406046195609058013370749675 y[1] (numeric) = -0.93852406046195610749844809375975 absolute error = 1.691831438626300e-17 relative error = 1.8026511092252172425951200887617e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.698 Order of pole = 2.175 x[1] = -1.364 y[1] (analytic) = -0.9381746373737193605731604510041 y[1] (numeric) = -0.93817463737371937764244113858518 absolute error = 1.706928068758108e-17 relative error = 1.8194139990145115846597331874258e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.697 Order of pole = 2.174 x[1] = -1.363 y[1] (analytic) = -0.93782488088845618745876578266884 y[1] (numeric) = -0.93782488088845620467986044542711 absolute error = 1.722109466275827e-17 relative error = 1.8362804201189163363163993699218e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.696 Order of pole = 2.174 x[1] = -1.362 y[1] (analytic) = -0.93747479061447356745057777229134 y[1] (numeric) = -0.93747479061447358482433752521147 absolute error = 1.737375975292013e-17 relative error = 1.8532508742482977317392677820002e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.695 Order of pole = 2.174 x[1] = -1.361 y[1] (analytic) = -0.93712436615965780072513391674665 y[1] (numeric) = -0.93712436615965781825241332556012 absolute error = 1.752727940881347e-17 relative error = 1.8703258651400116147790061126512e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=91.5MB, alloc=4.4MB, time=13.87 Complex estimate of poles used Radius of convergence = 1.694 Order of pole = 2.174 x[1] = -1.36 y[1] (analytic) = -0.93677360713147453343519102834227 y[1] (numeric) = -0.93677360713147455111684811914421 absolute error = 1.768165709080194e-17 relative error = 1.8875058985644917327715259232887e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.693 Order of pole = 2.174 x[1] = -1.359 y[1] (analytic) = -0.93642251313696880287772084885798 y[1] (numeric) = -0.93642251313696882071461711771932 absolute error = 1.783689626886134e-17 relative error = 1.9047914823308364767320218873841e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.693 Order of pole = 2.174 x[1] = -1.358 y[1] (analytic) = -0.93607108378276508583422829672063 y[1] (numeric) = -0.93607108378276510382722871929515 absolute error = 1.799300042257452e-17 relative error = 1.9221831262923802552275185272789e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.692 Order of pole = 2.174 x[1] = -1.357 y[1] (analytic) = -0.93571931867506735010110059836901 y[1] (numeric) = -0.93571931867506736825107363949497 absolute error = 1.814997304112596e-17 relative error = 1.9396813423522591591699025909700e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.691 Order of pole = 2.174 x[1] = -1.356 y[1] (analytic) = -0.93536721741965910922776709611739 y[1] (numeric) = -0.93536721741965912753558471941343 absolute error = 1.830781762329604e-17 relative error = 1.9572866444689720510899046354044e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.69 Order of pole = 2.173 x[1] = -1.355 y[1] (analytic) = -0.93501477962190348048052126361934 y[1] (numeric) = -0.93501477962190349894705894107418 absolute error = 1.846653767745484e-17 relative error = 1.9749995486619200344636406098076e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.689 Order of pole = 2.173 x[1] = -1.354 y[1] (analytic) = -0.9346620048867432460499283962494 y[1] (numeric) = -0.93466200488674326467606511780505 absolute error = 1.862613672155565e-17 relative error = 1.9928205730169435841192888568472e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.689 Order of pole = 2.173 x[1] = -1.353 y[1] (analytic) = -0.93430889281870091751981457723414 y[1] (numeric) = -0.93430889281870093630643286036228 absolute error = 1.878661828312814e-17 relative error = 2.0107502376918520598843829374740e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.688 Order of pole = 2.173 x[1] = -1.352 y[1] (analytic) = -0.93395544302187880361590485104349 y[1] (numeric) = -0.93395544302187882256389075031455 absolute error = 1.894798589927106e-17 relative error = 2.0287890649219317440933612270432e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.687 Order of pole = 2.173 x[1] = -1.351 y[1] (analytic) = -0.93360165509995908125225106325821 y[1] (numeric) = -0.93360165509995910036249417990286 absolute error = 1.911024311664465e-17 relative error = 2.0469375790254517064024578995479e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.686 Order of pole = 2.173 x[1] = -1.35 y[1] (analytic) = -0.93324752865620386989366255071266 y[1] (numeric) = -0.9332475286562038891670560421753 absolute error = 1.927339349146264e-17 relative error = 2.0651963064091547121078627512714e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.685 Order of pole = 2.173 x[1] = -1.349 y[1] (analytic) = -0.93289306329345530925242578701804 y[1] (numeric) = -0.93289306329345532868986637650194 absolute error = 1.943744058948390e-17 relative error = 2.0835657755737396462784479394427e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.685 Order of pole = 2.173 x[1] = -1.348 y[1] (analytic) = -0.93253825861413564033767220643751 y[1] (numeric) = -0.93253825861413565994006019244113 absolute error = 1.960238798600362e-17 relative error = 2.1020465171193226435856866973119e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.684 Order of pole = 2.173 x[1] = -1.347 y[1] (analytic) = -0.93218311422024728987582674333956 y[1] (numeric) = -0.93218311422024730964406600918376 absolute error = 1.976823926584420e-17 relative error = 2.1206390637508962572819727380406e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.683 Order of pole = 2.172 x[1] = -1.346 y[1] (analytic) = -0.93182762971337295812064313492198 y[1] (numeric) = -0.93182762971337297805564115826765 absolute error = 1.993499802334567e-17 relative error = 2.1393439502837674259909358526846e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.682 Order of pole = 2.172 x[1] = -1.345 y[1] (analytic) = -0.93147180469467571007140574138755 y[1] (numeric) = -0.93147180469467573017407360374334 absolute error = 2.010266786235579e-17 relative error = 2.1581617136489903661345456994906e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.681 Order of pole = 2.172 x[1] = -1.344 y[1] (analytic) = -0.93111563876489907011795154007108 y[1] (numeric) = -0.93111563876489909038920393629075 absolute error = 2.027125239621967e-17 relative error = 2.1770928928987772737432256503262e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.68 Order of pole = 2.172 x[1] = -1.343 y[1] (analytic) = -0.93075913152436712013124004796093 y[1] (numeric) = -0.93075913152436714057199529572993 absolute error = 2.044075524776900e-17 relative error = 2.1961380292118965268700229256033e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.68 Order of pole = 2.172 x[1] = -1.342 y[1] (analytic) = -0.93040228257298460101827322041664 y[1] (numeric) = -0.9304022825729846216294532697276 absolute error = 2.061118004931096e-17 relative error = 2.2152976658990659599092769230238e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.679 Order of pole = 2.172 x[1] = -1.341 y[1] (analytic) = -0.93004509151023701776024186243806 y[1] (numeric) = -0.93004509151023703854277230505462 absolute error = 2.078253044261656e-17 relative error = 2.2345723484083143974990794504558e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.678 Order of pole = 2.172 x[1] = -1.34 y[1] (analytic) = -0.92968755793519074795284977236147 y[1] (numeric) = -0.92968755793519076890765985127021 absolute error = 2.095481007890874e-17 relative error = 2.2539626243303469398749140158975e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.677 Order of pole = 2.172 x[1] = -1.339 y[1] (analytic) = -0.92932968144649315386784171611018 y[1] (numeric) = -0.92932968144649317499586433496007 absolute error = 2.112802261884989e-17 relative error = 2.2734690434038775057585808494984e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.676 Order of pole = 2.172 x[1] = -1.338 y[1] (analytic) = -0.92897146164237269805483640286348 y[1] (numeric) = -0.92897146164237271935700813539253 absolute error = 2.130217173252905e-17 relative error = 2.2930921575209566140642475376643e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.676 Order of pole = 2.172 x[1] = -1.337 y[1] (analytic) = -0.92861289812063906250264089997777 y[1] (numeric) = -0.92861289812063908397990199942641 absolute error = 2.147726109944864e-17 relative error = 2.3128325207322783201028058201935e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.675 Order of pole = 2.172 x[1] = -1.336 y[1] (analytic) = -0.9282539904786832713792983859323 y[1] (numeric) = -0.9282539904786832930325927944431 absolute error = 2.165329440851080e-17 relative error = 2.3326906892524749500431395212802e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.674 Order of pole = 2.171 x[1] = -1.335 y[1] (analytic) = -0.92789473831347781737019679471032 y[1] (numeric) = -0.9278947383134778392004721527135 absolute error = 2.183027535800318e-17 relative error = 2.3526672214653824391195399876361e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.673 Order of pole = 2.171 x[1] = -1.334 y[1] (analytic) = -0.9275351412215767916336417530827 y[1] (numeric) = -0.92753514122157681364184940866712 absolute error = 2.200820765558442e-17 relative error = 2.3727626779293021508458159879614e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=95.3MB, alloc=4.4MB, time=14.46 Complex estimate of poles used Radius of convergence = 1.672 Order of pole = 2.171 x[1] = -1.333 y[1] (analytic) = -0.92717519879911601739337325344792 y[1] (numeric) = -0.92717519879911603958046827171709 absolute error = 2.218709501826917e-17 relative error = 2.3929776213822430714864252546979e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.672 Order of pole = 2.171 x[1] = -1.332 y[1] (analytic) = -0.92681491064181318718758173890066 y[1] (numeric) = -0.9268149106418132095545229113132 absolute error = 2.236694117241254e-17 relative error = 2.4133126167471325399431909379483e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.671 Order of pole = 2.171 x[1] = -1.331 y[1] (analytic) = -0.92645427634496800379405570374402 y[1] (numeric) = -0.92645427634496802634180555743827 absolute error = 2.254774985369425e-17 relative error = 2.4337682311370246529114952680061e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.67 Order of pole = 2.171 x[1] = -1.33 y[1] (analytic) = -0.92609329550346232485116953141216 y[1] (numeric) = -0.92609329550346234758069433851439 absolute error = 2.272952480710223e-17 relative error = 2.4543450338602794260223872115290e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.669 Order of pole = 2.171 x[1] = -1.329 y[1] (analytic) = -0.92573196771176031119449710240413 y[1] (numeric) = -0.92573196771176033410676688931991 absolute error = 2.291226978691578e-17 relative error = 2.4750435964257245959273208995425e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.668 Order of pole = 2.171 x[1] = -1.328 y[1] (analytic) = -0.92537029256390857892891370701149 y[1] (numeric) = -0.92537029256390860202490226369974 absolute error = 2.309598855668825e-17 relative error = 2.4958644925477957755836818556363e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.668 Order of pole = 2.171 x[1] = -1.327 y[1] (analytic) = -0.92500826965353635525612599100731 y[1] (numeric) = -0.92500826965353637853681088023664 absolute error = 2.328068488922933e-17 relative error = 2.5168082981516647154941139073367e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.667 Order of pole = 2.171 x[1] = -1.326 y[1] (analytic) = -0.92464589857385563807764704669849 y[1] (numeric) = -0.92464589857385566154400961328523 absolute error = 2.346636256658674e-17 relative error = 2.5378755913783330093223437054605e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.666 Order of pole = 2.171 x[1] = -1.325 y[1] (analytic) = -0.92428317891766135939331133646255 y[1] (numeric) = -0.92428317891766138304633671649008 absolute error = 2.365302538002753e-17 relative error = 2.5590669525897139518296247541601e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.665 Order of pole = 2.171 x[1] = -1.324 y[1] (analytic) = -0.92392011027733155251550190072182 y[1] (numeric) = -0.9239201102773315763561790307407 absolute error = 2.384067713001888e-17 relative error = 2.5803829643736906932415307307799e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.664 Order of pole = 2.171 x[1] = -1.323 y[1] (analytic) = -0.9235566922448275231193402568679 y[1] (numeric) = -0.92355669224482754714866188307631 absolute error = 2.402932162620841e-17 relative error = 2.6018242115491517901258310678140e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.664 Order of pole = 2.171 x[1] = -1.322 y[1] (analytic) = -0.92319292441169402414916753954524 y[1] (numeric) = -0.92319292441169404836813022694919 absolute error = 2.421896268740395e-17 relative error = 2.6233912811709987570668070533516e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.663 Order of pole = 2.17 x[1] = -1.321 y[1] (analytic) = -0.92282880636905943460172376553024 y[1] (numeric) = -0.92282880636905945901132790708316 absolute error = 2.440960414155292e-17 relative error = 2.6450847625351418788125105076493e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.662 Order of pole = 2.17 x[1] = -1.32 y[1] (analytic) = -0.92246433770763594220651062778974 y[1] (numeric) = -0.92246433770763596680776045351084 absolute error = 2.460124982572110e-17 relative error = 2.6669052471834604838862673742733e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.661 Order of pole = 2.17 x[1] = -1.319 y[1] (analytic) = -0.92209951801771973002390193274498 y[1] (numeric) = -0.92209951801771975481780551881597 absolute error = 2.479390358607099e-17 relative error = 2.6888533289087493536005372636881e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.66 Order of pole = 2.17 x[1] = -1.318 y[1] (analytic) = -0.92173434688919116698164469187176 y[1] (numeric) = -0.92173434688919119196921396971132 absolute error = 2.498756927783956e-17 relative error = 2.7109296037596296124435481387764e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.659 Order of pole = 2.17 x[1] = -1.317 y[1] (analytic) = -0.92136882391151500237047296308935 y[1] (numeric) = -0.92136882391151502755272372840493 absolute error = 2.518225076531558e-17 relative error = 2.7331346700454447054311763157022e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.659 Order of pole = 2.17 x[1] = -1.316 y[1] (analytic) = -0.92100294867374056431963580847627 y[1] (numeric) = -0.92100294867374058969758773029264 absolute error = 2.537795192181637e-17 relative error = 2.7554691283411241312401489086825e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.658 Order of pole = 2.17 x[1] = -1.315 y[1] (analytic) = -0.92063672076450196227322019223409 y[1] (numeric) = -0.92063672076450198784789682189816 absolute error = 2.557467662966407e-17 relative error = 2.7779335814920257861153657351528e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.657 Order of pole = 2.17 x[1] = -1.314 y[1] (analytic) = -0.92027013977201829348822928602602 y[1] (numeric) = -0.92027013977201831926065806618735 absolute error = 2.577242878016133e-17 relative error = 2.8005286346187460752072874261138e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.656 Order of pole = 2.17 x[1] = -1.313 y[1] (analytic) = -0.9199032052840938535754564773583 y[1] (numeric) = -0.91990320528409387954666875092484 absolute error = 2.597121227356654e-17 relative error = 2.8232548951219108288888341586625e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.655 Order of pole = 2.17 x[1] = -1.312 y[1] (analytic) = -0.9195359168881183511042753900523 y[1] (numeric) = -0.91953591688811837727530640912074 absolute error = 2.617103101906844e-17 relative error = 2.8461129726869296529367934520362e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.655 Order of pole = 2.17 x[1] = -1.311 y[1] (analytic) = -0.91916827417106712629254642356469 y[1] (numeric) = -0.91916827417106715266443535832495 absolute error = 2.637188893476026e-17 relative error = 2.8691034792887300119783404001148e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.654 Order of pole = 2.17 x[1] = -1.31 y[1] (analytic) = -0.91880027671950137380292069943421 y[1] (numeric) = -0.91880027671950140037671064704747 absolute error = 2.657378994761326e-17 relative error = 2.8922270291964569230747697423498e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.653 Order of pole = 2.17 x[1] = -1.309 y[1] (analytic) = -0.91843192411956836966690286793426 y[1] (numeric) = -0.91843192411956839644364086138402 absolute error = 2.677673799344976e-17 relative error = 2.9154842389781480448145134502634e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.652 Order of pole = 2.17 x[1] = -1.308 y[1] (analytic) = -0.91806321595700170235811497555074 y[1] (numeric) = -0.91806321595700172933885199246636 absolute error = 2.698073701691562e-17 relative error = 2.9388757275053798182714551856383e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.651 Order of pole = 2.17 x[1] = -1.307 y[1] (analytic) = -0.91769415181712150803628452363023 y[1] (numeric) = -0.91769415181712153522207549508231 absolute error = 2.718579097145208e-17 relative error = 2.9624021159578748536652938583663e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.651 memory used=99.1MB, alloc=4.4MB, time=15.04 Order of pole = 2.17 x[1] = -1.306 y[1] (analytic) = -0.91732473128483470998356095989065 y[1] (numeric) = -0.91732473128483473737546477915777 absolute error = 2.739190381926712e-17 relative error = 2.9860640278280879779760812501863e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.65 Order of pole = 2.17 x[1] = -1.305 y[1] (analytic) = -0.91695495394463526225484613687955 y[1] (numeric) = -0.91695495394463528985392566818579 absolute error = 2.759907953130624e-17 relative error = 3.0098620889257600599674121846426e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.649 Order of pole = 2.17 x[1] = -1.304 y[1] (analytic) = -0.91658481938060439756390574431597 y[1] (numeric) = -0.91658481938060442537122783153859 absolute error = 2.780732208722262e-17 relative error = 3.0337969273824352398775436544687e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.648 Order of pole = 2.17 x[1] = -1.303 y[1] (analytic) = -0.91621432717641087942711037496135 y[1] (numeric) = -0.91621432717641090744374585030809 absolute error = 2.801663547534674e-17 relative error = 3.0578691736559502740697728897532e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.648 Order of pole = 2.17 x[1] = -1.302 y[1] (analytic) = -0.91584347691531125858673671562287 y[1] (numeric) = -0.91584347691531128681376040827824 absolute error = 2.822702369265537e-17 relative error = 3.0820794605348861707821815680779e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.647 Order of pole = 2.17 x[1] = -1.301 y[1] (analytic) = -0.9154722681801501337358413654747 y[1] (numeric) = -0.91547226818015016217433211021473 absolute error = 2.843849074474003e-17 relative error = 3.1064284231429930154148273966285e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.646 Order of pole = 2.17 x[1] = -1.3 y[1] (analytic) = -0.91510070055336041656680197245527 y[1] (numeric) = -0.91510070055336044521784261823012 absolute error = 2.865104064577485e-17 relative error = 3.1309166989435803417444920116535e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.645 Order of pole = 2.17 x[1] = -1.299 y[1] (analytic) = -0.91472877361696360116570274441395 y[1] (numeric) = -0.91472877361696363003038016289767 absolute error = 2.886467741848372e-17 relative error = 3.1555449277438610075721103970085e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.644 Order of pole = 2.17 x[1] = -1.298 y[1] (analytic) = -0.91435648695257003777482393427902 y[1] (numeric) = -0.91435648695257006685422902838603 absolute error = 2.907940509410701e-17 relative error = 3.1803137516992791468075457354156e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.644 Order of pole = 2.17 x[1] = -1.297 y[1] (analytic) = -0.91398384014137921094557761713002 y[1] (numeric) = -0.91398384014137924024080532949756 absolute error = 2.929522771236754e-17 relative error = 3.2052238153177872226782449959433e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.643 Order of pole = 2.17 x[1] = -1.296 y[1] (analytic) = -0.91361083276418002210431497099579 y[1] (numeric) = -0.91361083276418005161646429243177 absolute error = 2.951214932143598e-17 relative error = 3.2302757654640918203831205776540e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.642 Order of pole = 2.17 x[1] = -1.295 y[1] (analytic) = -0.91323746440135107655351334176968 y[1] (numeric) = -0.91323746440135110628368731966535 absolute error = 2.973017397789567e-17 relative error = 3.2554702513638670762275859322071e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.641 Order of pole = 2.17 x[1] = -1.294 y[1] (analytic) = -0.91286373463286097493093461512522 y[1] (numeric) = -0.91286373463286100488024036183195 absolute error = 2.994930574670673e-17 relative error = 3.2808079246079214910201423057987e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.64 Order of pole = 2.17 x[1] = -1.293 y[1] (analytic) = -0.91248964303826860914942983400763 y[1] (numeric) = -0.91248964303826863931897853517728 absolute error = 3.016954870116965e-17 relative error = 3.3062894391563388974465746289986e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.64 Order of pole = 2.17 x[1] = -1.292 y[1] (analytic) = -0.91211518919672346284014858843398 y[1] (numeric) = -0.91211518919672349323105551132209 absolute error = 3.039090692288811e-17 relative error = 3.3319154513425661794579475750689e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.639 Order of pole = 2.17 x[1] = -1.291 y[1] (analytic) = -0.91174037268696591632199546420924 y[1] (numeric) = -0.9117403726869659469353799659405 absolute error = 3.061338450173126e-17 relative error = 3.3576866198774728980124268984495e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.638 Order of pole = 2.17 x[1] = -1.29 y[1] (analytic) = -0.91136519308732755612025976799717 y[1] (numeric) = -0.9113651930873275869572453037925 absolute error = 3.083698553579533e-17 relative error = 3.3836036058533685587234475881121e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.637 Order of pole = 2.17 x[1] = -1.289 y[1] (analytic) = -0.91098964997573148905742884719871 y[1] (numeric) = -0.91098964997573152011914297856328 absolute error = 3.106171413136457e-17 relative error = 3.4096670727479774799477785970242e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.636 Order of pole = 2.17 x[1] = -1.288 y[1] (analytic) = -0.91061374292969266093927959349981 y[1] (numeric) = -0.91061374292969269222685399637136 absolute error = 3.128757440287155e-17 relative error = 3.4358776864283745138589274684049e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.636 Order of pole = 2.17 x[1] = -1.287 y[1] (analytic) = -0.91023747152631817985942715795435 y[1] (numeric) = -0.91023747152631821137399763081113 absolute error = 3.151457047285678e-17 relative error = 3.4622361151548771931716168473434e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.635 Order of pole = 2.17 x[1] = -1.286 y[1] (analytic) = -0.90986083534230764414559451225186 y[1] (numeric) = -0.90986083534230767588830098417952 absolute error = 3.174270647192766e-17 relative error = 3.4887430295848953565667329034364e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.634 Order of pole = 2.17 x[1] = -1.285 y[1] (analytic) = -0.90948383395395347497095126455629 y[1] (numeric) = -0.9094838339539535069429378032731 absolute error = 3.197198653871681e-17 relative error = 3.5153991027767437071048640508803e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.633 Order of pole = 2.17 x[1] = -1.284 y[1] (analytic) = -0.90910646693714125365395507814968 y[1] (numeric) = -0.9091064669371412858563698979893 absolute error = 3.220241481983962e-17 relative error = 3.5422050101933996760815434580397e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.632 Order of pole = 2.17 x[1] = -1.283 y[1] (analytic) = -0.90872873386735006367021414621744 y[1] (numeric) = -0.90872873386735009610420961606865 absolute error = 3.243399546985121e-17 relative error = 3.5691614297062274212199154644644e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.632 Order of pole = 2.17 x[1] = -1.282 y[1] (analytic) = -0.9083506343196528373999744456014 y[1] (numeric) = -0.90835063431965287006670709680405 absolute error = 3.266673265120265e-17 relative error = 3.5962690415986514264923211800177e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.631 Order of pole = 2.17 x[1] = -1.281 y[1] (analytic) = -0.90797216786871670763492092533866 y[1] (numeric) = -0.90797216786871674053555145953517 absolute error = 3.290063053419651e-17 relative error = 3.6235285285697873452982670903299e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.63 Order of pole = 2.17 x[1] = -1.28 y[1] (analytic) = -0.90759333408880336386806738140148 y[1] (numeric) = -0.90759333408880339700376067834317 absolute error = 3.313569329694169e-17 relative error = 3.6509405757380245320224495934284e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.629 Order of pole = 2.171 memory used=103.0MB, alloc=4.4MB, time=15.63 x[1] = -1.279 y[1] (analytic) = -0.90721413255376941339059552634412 y[1] (numeric) = -0.90721413255376944676252065165165 absolute error = 3.337192512530753e-17 relative error = 3.6785058706445601994428588001835e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.629 Order of pole = 2.171 x[1] = -1.278 y[1] (analytic) = -0.90683456283706674721958968061981 y[1] (numeric) = -0.90683456283706678082891989349706 absolute error = 3.360933021287725e-17 relative error = 3.7062251032568906525126097360163e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.628 Order of pole = 2.171 x[1] = -1.277 y[1] (analytic) = -0.90645462451174291088069959021487 y[1] (numeric) = -0.9064546245117429447286123511155 absolute error = 3.384791276090063e-17 relative error = 3.7340989659722496221021545254818e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.627 Order of pole = 2.171 x[1] = -1.276 y[1] (analytic) = -0.90607431715044148006985011200152 y[1] (numeric) = -0.9060743171504415141575270902475 absolute error = 3.408767697824598e-17 relative error = 3.7621281536209991396950769739686e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.626 Order of pole = 2.171 x[1] = -1.275 y[1] (analytic) = -0.90569364032540244121820290286556 y[1] (numeric) = -0.90569364032540247554682998421698 absolute error = 3.432862708135142e-17 relative error = 3.7903133634699750994661864841462e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.625 Order of pole = 2.171 x[1] = -1.274 y[1] (analytic) = -0.90531259360846257698466180023588 y[1] (numeric) = -0.9053125936084626115554290944112 absolute error = 3.457076729417532e-17 relative error = 3.8186552952257708829317068270454e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.625 Order of pole = 2.171 x[1] = -1.273 y[1] (analytic) = -0.90493117657105585670030028912789 y[1] (numeric) = -0.90493117657105589151440213727404 absolute error = 3.481410184814615e-17 relative error = 3.8471546510379865671607249145452e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.624 Order of pole = 2.171 x[1] = -1.272 y[1] (analytic) = -0.90454938878421383178917631319944 y[1] (numeric) = -0.90454938878421386684781129531084 absolute error = 3.505863498211140e-17 relative error = 3.8758121355024061040243253889592e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.623 Order of pole = 2.171 x[1] = -1.271 y[1] (analytic) = -0.90416722981856603619008670357256 y[1] (numeric) = -0.90416722981856607149445764585848 absolute error = 3.530437094228592e-17 relative error = 3.9046284556641410438156726941119e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.622 Order of pole = 2.171 x[1] = -1.27 y[1] (analytic) = -0.90378469924434039180390066825438 y[1] (numeric) = -0.9037846992443404273552146504538 absolute error = 3.555131398219942e-17 relative error = 3.9336043210207120125191260462419e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.621 Order of pole = 2.171 x[1] = -1.269 y[1] (analytic) = -0.90340179663136361899119910583233 y[1] (numeric) = -0.90340179663136365479066746847548 absolute error = 3.579946836264315e-17 relative error = 3.9627404435250700480710825556946e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.621 Order of pole = 2.171 x[1] = -1.268 y[1] (analytic) = -0.90301852154906165214503397864655 y[1] (numeric) = -0.90301852154906168819387233026248 absolute error = 3.604883835161593e-17 relative error = 3.9920375375885765184506365107746e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.62 Order of pole = 2.171 x[1] = -1.267 y[1] (analytic) = -0.90263487356646006036370960176363 y[1] (numeric) = -0.90263487356646009666313782603295 absolute error = 3.629942822426932e-17 relative error = 4.0214963200839183085416062856202e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.619 Order of pole = 2.172 x[1] = -1.266 y[1] (analytic) = -0.90225085225218447324857547368169 y[1] (numeric) = -0.90225085225218450979981773653372 absolute error = 3.655124226285203e-17 relative error = 4.0511175103479692414685764975538e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.618 Order of pole = 2.172 x[1] = -1.265 y[1] (analytic) = -0.90186645717446101185190819166293 y[1] (numeric) = -0.90186645717446104865619294831647 absolute error = 3.680428475665354e-17 relative error = 4.0809018301845943223029655923878e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.618 Order of pole = 2.172 x[1] = -1.264 y[1] (analytic) = -0.90148168790111672480004805777634 y[1] (numeric) = -0.90148168790111676185860805972323 absolute error = 3.705856000194689e-17 relative error = 4.1108500038673922705772619708364e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.617 Order of pole = 2.172 x[1] = -1.263 y[1] (analytic) = -0.90109654399958002961704418998251 y[1] (numeric) = -0.9010965439995800669311164919133 absolute error = 3.731407230193079e-17 relative error = 4.1409627581423928773999856868094e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.616 Order of pole = 2.172 x[1] = -1.262 y[1] (analytic) = -0.9007110250368811592741503047328 y[1] (numeric) = -0.90071102503688119684497627140353 absolute error = 3.757082596667073e-17 relative error = 4.1712408222306735979660877913956e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.615 Order of pole = 2.172 x[1] = -1.261 y[1] (analytic) = -0.90032513057965261399060183239525 y[1] (numeric) = -0.9003251305796526518194271454347 absolute error = 3.782882531303945e-17 relative error = 4.2016849278309351960639876871048e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.614 Order of pole = 2.172 x[1] = -1.26 y[1] (analytic) = -0.89993886019412961831119366315553 y[1] (numeric) = -0.89993886019412965639926832781204 absolute error = 3.808807466465651e-17 relative error = 4.2322958091220074994817760534688e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.614 Order of pole = 2.172 x[1] = -1.259 y[1] (analytic) = -0.89955221344615058348626659764845 y[1] (numeric) = -0.89955221344615062183484494947545 absolute error = 3.834857835182700e-17 relative error = 4.2630742027652895752378247506376e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.613 Order of pole = 2.172 x[1] = -1.258 y[1] (analytic) = -0.89916518990115757517979949221502 y[1] (numeric) = -0.89916518990115761379014020369456 absolute error = 3.861034071147954e-17 relative error = 4.2940208479071408812385577465514e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.612 Order of pole = 2.172 x[1] = -1.257 y[1] (analytic) = -0.89877778912419678653139314209609 y[1] (numeric) = -0.89877778912419682540475922919938 absolute error = 3.887336608710329e-17 relative error = 4.3251364861811921646259269677155e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.611 Order of pole = 2.173 x[1] = -1.256 y[1] (analytic) = -0.89839001067991901659802113579054 y[1] (numeric) = -0.89839001067991905573567996447476 absolute error = 3.913765882868422e-17 relative error = 4.3564218617106037631691895848855e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.61 Order of pole = 2.173 x[1] = -1.255 y[1] (analytic) = -0.89800185413258015420151223893491 y[1] (numeric) = -0.8980018541325801936047355315754 absolute error = 3.940322329264049e-17 relative error = 4.3878777211102545174899186136184e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.61 Order of pole = 2.173 x[1] = -1.254 y[1] (analytic) = -0.89761331904604166720781832509275 y[1] (numeric) = -0.89761331904604170687788216684975 absolute error = 3.967006384175700e-17 relative error = 4.4195048134888678385954234606113e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.609 Order of pole = 2.173 x[1] = -1.253 y[1] (analytic) = -0.89722440498377109726421146245035 y[1] (numeric) = -0.89722440498377113720239630756937 absolute error = 3.993818484511902e-17 relative error = 4.4513038904510647789229133215975e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.608 Order of pole = 2.173 x[1] = -1.252 memory used=106.8MB, alloc=4.4MB, time=16.21 y[1] (analytic) = -0.89683511150884256002064348825749 y[1] (numeric) = -0.89683511150884260022823416630248 absolute error = 4.020759067804499e-17 relative error = 4.4832757060993539897548086206819e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.607 Order of pole = 2.173 x[1] = -1.251 y[1] (analytic) = -0.89644543818393725086159125556641 y[1] (numeric) = -0.89644543818393729133987697758486 absolute error = 4.047828572201845e-17 relative error = 4.5154210170360539797222302520539e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.607 Order of pole = 2.173 x[1] = -1.25 y[1] (analytic) = -0.89605538457134395617480071802994 y[1] (numeric) = -0.896055384571343996925075082649 absolute error = 4.075027436461906e-17 relative error = 4.5477405823651430724675016307464e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.606 Order of pole = 2.173 x[1] = -1.249 y[1] (analytic) = -0.89566495023295957018343312682384 y[1] (numeric) = -0.89566495023295961120699412627659 absolute error = 4.102356099945275e-17 relative error = 4.5802351636940413766629917266110e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.605 Order of pole = 2.174 x[1] = -1.248 y[1] (analytic) = -0.89527413473028961736820684774343 y[1] (numeric) = -0.89527413473028965866635687382438 absolute error = 4.129815002608095e-17 relative error = 4.6129055251353190430644571492996e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.604 Order of pole = 2.174 x[1] = -1.247 y[1] (analytic) = -0.89488293762444878050621866475726 y[1] (numeric) = -0.89488293762444882208026451470619 absolute error = 4.157404584994893e-17 relative error = 4.6457524333083340022235923746268e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.604 Order of pole = 2.174 x[1] = -1.246 y[1] (analytic) = -0.89449135847616143435321891732852 y[1] (numeric) = -0.89449135847616147620447179964177 absolute error = 4.185125288231325e-17 relative error = 4.6787766573407990329876905087091e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.603 Order of pole = 2.174 x[1] = -1.245 y[1] (analytic) = -0.89409939684576218499620542116814 y[1] (numeric) = -0.89409939684576222712598096133638 absolute error = 4.212977554016824e-17 relative error = 4.7119789688702690630518155851062e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.602 Order of pole = 2.174 x[1] = -1.244 y[1] (analytic) = -0.89370705229319641490329184427196 y[1] (numeric) = -0.89370705229319645731291009044358 absolute error = 4.240961824617162e-17 relative error = 4.7453601420455608298447955243702e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.601 Order of pole = 2.174 x[1] = -1.243 y[1] (analytic) = -0.89331432437802083369789705061129 y[1] (numeric) = -0.89331432437802087638868247918042 absolute error = 4.269078542856913e-17 relative error = 4.7789209535280902055377343451528e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.6 Order of pole = 2.174 x[1] = -1.242 y[1] (analytic) = -0.89292121265940403468439288116255 y[1] (numeric) = -0.89292121265940407765767440228084 absolute error = 4.297328152111829e-17 relative error = 4.8126621824931404354307435608439e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.6 Order of pole = 2.174 x[1] = -1.241 y[1] (analytic) = -0.89252771669612705715243891453388 y[1] (numeric) = -0.89252771669612710040954987754498 absolute error = 4.325711096301110e-17 relative error = 4.8465846106310398519446260173895e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.599 Order of pole = 2.175 x[1] = -1.24 y[1] (analytic) = -0.8921338360465839544873239357062 y[1] (numeric) = -0.89213383604658399802960213450216 absolute error = 4.354227819879596e-17 relative error = 4.8806890221482802326146308716324e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.598 Order of pole = 2.175 x[1] = -1.239 y[1] (analytic) = -0.89173957026878236811372513977167 y[1] (numeric) = -0.89173957026878241194251281807014 absolute error = 4.382878767829847e-17 relative error = 4.9149762037685375526494642342202e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.597 Order of pole = 2.175 x[1] = -1.238 y[1] (analytic) = -0.89134491892034410730038750641614 y[1] (numeric) = -0.89134491892034415141703136295749 absolute error = 4.411664385654135e-17 relative error = 4.9494469447336218166652569060791e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.597 Order of pole = 2.175 x[1] = -1.237 y[1] (analytic) = -0.89094988155850573485331729863291 y[1] (numeric) = -0.8909498815585057792591684922963 absolute error = 4.440585119366339e-17 relative error = 4.9841020368043457085894974147012e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.596 Order of pole = 2.175 x[1] = -1.236 y[1] (analytic) = -0.89055445774011915872517526412684 y[1] (numeric) = -0.89055445774011920342158941896421 absolute error = 4.469641415483737e-17 relative error = 5.0189422742613051301404075570469e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.595 Order of pole = 2.175 x[1] = -1.235 y[1] (analytic) = -0.8901586470216522295686468484082 y[1] (numeric) = -0.89015864702165227455698405859524 absolute error = 4.498833721018704e-17 relative error = 5.0539684539055815236082711121547e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.594 Order of pole = 2.176 x[1] = -1.234 y[1] (analytic) = -0.88976244895918934426165856299982 y[1] (numeric) = -0.88976244895918938954328339770293 absolute error = 4.528162483470311e-17 relative error = 5.0891813750593601743329209010160e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.593 Order of pole = 2.176 x[1] = -1.233 y[1] (analytic) = -0.88936586310843205543240158878552 y[1] (numeric) = -0.88936586310843210100868309694372 absolute error = 4.557628150815820e-17 relative error = 5.1245818395664586666334091669700e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.593 Order of pole = 2.176 x[1] = -1.232 y[1] (analytic) = -0.88896888902469968701221573158732 y[1] (numeric) = -0.88896888902469973288452744660812 absolute error = 4.587231171502080e-17 relative error = 5.1601706517927708941129179498492e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.592 Order of pole = 2.176 x[1] = -1.231 y[1] (analytic) = -0.8885715262629299558444789828289 y[1] (numeric) = -0.88857152626293000201419892719716 absolute error = 4.616971994436826e-17 relative error = 5.1959486186266286672957365937665e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.591 Order of pole = 2.176 x[1] = -1.23 y[1] (analytic) = -0.88817377437767959937774017085746 y[1] (numeric) = -0.88817377437767964584625086065614 absolute error = 4.646851068979868e-17 relative error = 5.2319165494790660792636482564920e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.59 Order of pole = 2.176 x[1] = -1.229 y[1] (analytic) = -0.88777563292312500947142451636804 y[1] (numeric) = -0.88777563292312505624011296570987 absolute error = 4.676868844934183e-17 relative error = 5.2680752562840010223964498495721e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.59 Order of pole = 2.176 x[1] = -1.228 y[1] (analytic) = -0.88737710145306287234253432659716 y[1] (numeric) = -0.8873771014530629194127920519662 absolute error = 4.707025772536904e-17 relative error = 5.3044255534983268884294891645857e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.589 Order of pole = 2.177 x[1] = -1.227 y[1] (analytic) = -0.88697817952091081468185957569679 y[1] (numeric) = -0.88697817952091086205508260019876 absolute error = 4.737322302450197e-17 relative error = 5.3409682581019040756832245618373e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.588 Order of pole = 2.177 x[1] = -1.226 y[1] (analytic) = -0.88657886667970805596830572111477 y[1] (numeric) = -0.88657886667970810364589457863521 absolute error = 4.767758885752044e-17 relative error = 5.3777041895974713429680262503605e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.587 Order of pole = 2.177 x[1] = -1.225 memory used=110.6MB, alloc=4.4MB, time=16.80 y[1] (analytic) = -0.88617916248211606701003879602405 y[1] (numeric) = -0.88617916248211611499339853529315 absolute error = 4.798335973926910e-17 relative error = 5.4146341700104519831356575421491e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.587 Order of pole = 2.177 x[1] = -1.224 y[1] (analytic) = -0.88577906648041923474124059396521 y[1] (numeric) = -0.88577906648041928303178078252835 absolute error = 4.829054018856314e-17 relative error = 5.4517590238886771137011144297465e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.586 Order of pole = 2.177 x[1] = -1.223 y[1] (analytic) = -0.88537857822652553330335962198217 y[1] (numeric) = -0.88537857822652558190249435007498 absolute error = 4.859913472809281e-17 relative error = 5.4890795783019998945361417283133e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.585 Order of pole = 2.177 x[1] = -1.222 y[1] (analytic) = -0.88497769727196720143983644070145 y[1] (numeric) = -0.88497769727196725034898432502839 absolute error = 4.890914788432694e-17 relative error = 5.5265966628418218455059782162626e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.584 Order of pole = 2.178 x[1] = -1.221 y[1] (analytic) = -0.88457642316790142623337503207328 y[1] (numeric) = -0.88457642316790147545395921948866 absolute error = 4.922058418741538e-17 relative error = 5.5643111096205219893007489251821e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.583 Order of pole = 2.178 x[1] = -1.22 y[1] (analytic) = -0.88417475546511103321492493587706 y[1] (numeric) = -0.88417475546511108274837310696732 absolute error = 4.953344817109026e-17 relative error = 5.6022237532707772478926228611663e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.583 Order of pole = 2.178 x[1] = -1.219 y[1] (analytic) = -0.88377269371400518287363207259055 y[1] (numeric) = -0.88377269371400523272137644515685 absolute error = 4.984774437256630e-17 relative error = 5.6403354309447998176151295066411e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.582 Order of pole = 2.178 x[1] = -1.218 y[1] (analytic) = -0.88337023746462007359710942080753 y[1] (numeric) = -0.88337023746462012376058675324735 absolute error = 5.016347733243982e-17 relative error = 5.6786469823134516825989924763214e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.581 Order of pole = 2.178 x[1] = -1.217 y[1] (analytic) = -0.88296738626661965107147204001199 y[1] (numeric) = -0.88296738626661970155212363459877 absolute error = 5.048065159458678e-17 relative error = 5.7171592495652732928471583414765e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.58 Order of pole = 2.178 x[1] = -1.216 y[1] (analytic) = -0.88256413966929632417067432210968 y[1] (numeric) = -0.88256413966929637496994602816932 absolute error = 5.079927170605964e-17 relative error = 5.7558730774054023816388227310387e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.58 Order of pole = 2.179 x[1] = -1.215 y[1] (analytic) = -0.88216049722157168736478081558392 y[1] (numeric) = -0.88216049722157173848412303256702 absolute error = 5.111934221698310e-17 relative error = 5.7947893130543894145637988626770e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.579 Order of pole = 2.179 x[1] = -1.214 y[1] (analytic) = -0.8817564584719972496768954923663 y[1] (numeric) = -0.88175645847199730111776317281498 absolute error = 5.144086768044868e-17 relative error = 5.8339088062469048438606846303454e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.578 Order of pole = 2.179 x[1] = -1.213 y[1] (analytic) = -0.88135202296875517021856791735284 y[1] (numeric) = -0.88135202296875522198242056976102 absolute error = 5.176385265240818e-17 relative error = 5.8732324092303423996261619783035e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.577 Order of pole = 2.179 x[1] = -1.212 y[1] (analytic) = -0.88094719025965900033358843178966 y[1] (numeric) = -0.8809471902596590524218901233556 absolute error = 5.208830169156594e-17 relative error = 5.9127609767633090418986264950843e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.577 Order of pole = 2.179 x[1] = -1.211 y[1] (analytic) = -0.88054195989215443238017817231064 y[1] (numeric) = -0.88054195989215448479439753158067 absolute error = 5.241421935927003e-17 relative error = 5.9524953661140160106770212295798e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.576 Order of pole = 2.179 x[1] = -1.21 y[1] (analytic) = -0.88013633141332005518167351502311 y[1] (numeric) = -0.88013633141332010792328373442525 absolute error = 5.274161021940214e-17 relative error = 5.9924364370585445599135156405714e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.575 Order of pole = 2.18 x[1] = -1.209 y[1] (analytic) = -0.87973030436986811617589835647002 y[1] (numeric) = -0.87973030436986816924637719473642 absolute error = 5.307047883826640e-17 relative error = 6.0325850518790121514225179171742e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.574 Order of pole = 2.18 x[1] = -1.208 y[1] (analytic) = -0.87932387830814529029351151829054 y[1] (numeric) = -0.87932387830814534369434130276751 absolute error = 5.340082978447697e-17 relative error = 6.0729420753616206260374213428216e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.574 Order of pole = 2.18 x[1] = -1.207 y[1] (analytic) = -0.8789170527741334555957104876714 y[1] (numeric) = -0.87891705277413350932837811651581 absolute error = 5.373266762884441e-17 relative error = 6.1135083747945871415485409031322e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.573 Order of pole = 2.18 x[1] = -1.206 y[1] (analytic) = -0.87850982731345047570176667892124 y[1] (numeric) = -0.87850982731345052976776362318217 absolute error = 5.406599694426093e-17 relative error = 6.1542848199659689129208859050894e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.572 Order of pole = 2.18 x[1] = -1.205 y[1] (analytic) = -0.8781022014713509890369614203781 y[1] (numeric) = -0.87810220147135104343778372596242 absolute error = 5.440082230558432e-17 relative error = 6.1952722831613586651044272731581e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.571 Order of pole = 2.18 x[1] = -1.204 y[1] (analytic) = -0.87769417479272720493158593301797 y[1] (numeric) = -0.87769417479272725966873422253873 absolute error = 5.473714828952076e-17 relative error = 6.2364716391614731953916549508598e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.57 Order of pole = 2.181 x[1] = -1.203 y[1] (analytic) = -0.8772857468221097066017626701898 y[1] (numeric) = -0.87728574682210976167674214469614 absolute error = 5.507497947450634e-17 relative error = 6.2778837652396153484054107823810e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.57 Order of pole = 2.181 x[1] = -1.202 y[1] (analytic) = -0.87687691710366826104293952945143 y[1] (numeric) = -0.87687691710366831645725997003882 absolute error = 5.541432044058739e-17 relative error = 6.3195095411590204229583793026533e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.569 Order of pole = 2.181 x[1] = -1.201 y[1] (analytic) = -0.87646768518121263586700262509067 y[1] (numeric) = -0.87646768518121269162217839439019 absolute error = 5.575517576929952e-17 relative error = 6.3613498491700752505892229014032e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.568 Order of pole = 2.181 x[1] = -1.2 y[1] (analytic) = -0.87605805059819342311404752112834 y[1] (numeric) = -0.87605805059819347921159756467381 absolute error = 5.609755004354547e-17 relative error = 6.4034055740074209695315607114608e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.567 Order of pole = 2.181 x[1] = -1.199 y[1] (analytic) = -0.87564801289770287006994306693323 y[1] (numeric) = -0.87564801289770292651139091440489 absolute error = 5.644144784747166e-17 relative error = 6.4456776028869265751760254872553e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.567 Order of pole = 2.181 x[1] = -1.198 y[1] (analytic) = -0.87523757162247571712091624852353 y[1] (numeric) = -0.87523757162247577390779001486698 absolute error = 5.678687376634345e-17 relative error = 6.4881668255025339885633994085219e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=114.4MB, alloc=4.4MB, time=17.37 Complex estimate of poles used Radius of convergence = 1.566 Order of pole = 2.182 x[1] = -1.197 y[1] (analytic) = -0.87482672631489004267648076565183 y[1] (numeric) = -0.87482672631489009981031315207106 absolute error = 5.713383238641923e-17 relative error = 6.5308741340229879593582249085890e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.565 Order of pole = 2.182 x[1] = -1.196 y[1] (analytic) = -0.87441547651696811519212636531058 y[1] (numeric) = -0.87441547651696817267445466013367 absolute error = 5.748232829482309e-17 relative error = 6.5738004230884218540829847963542e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.564 Order of pole = 2.182 x[1] = -1.195 y[1] (analytic) = -0.87400382177037725232328030376495 y[1] (numeric) = -0.87400382177037731015564638318127 absolute error = 5.783236607941632e-17 relative error = 6.6169465898068274776738264778849e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.564 Order of pole = 2.182 x[1] = -1.194 y[1] (analytic) = -0.87359176161643068724214666900907 y[1] (numeric) = -0.87359176161643074542609699767659 absolute error = 5.818395032866752e-17 relative error = 6.6603135337503833797513124095877e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.563 Order of pole = 2.182 x[1] = -1.193 y[1] (analytic) = -0.87317929559608844214912367100827 y[1] (numeric) = -0.87317929559608850068620930252971 absolute error = 5.853708563152144e-17 relative error = 6.7039021569516549369651945761929e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.562 Order of pole = 2.182 x[1] = -1.192 y[1] (analytic) = -0.87276642324995820901059339556994 y[1] (numeric) = -0.87276642324995826790236997283651 absolute error = 5.889177657726657e-17 relative error = 6.7477133638996680932611823345290e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.561 Order of pole = 2.183 x[1] = -1.191 y[1] (analytic) = -0.87235314411829623755497291648526 y[1] (numeric) = -0.87235314411829629680300067188655 absolute error = 5.924802775540129e-17 relative error = 6.7917480615358345724022863150094e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.561 Order of pole = 2.183 x[1] = -1.19 y[1] (analytic) = -0.87193945774100823055901006698341 y[1] (numeric) = -0.87193945774100829016485382248212 absolute error = 5.960584375549871e-17 relative error = 6.8360071592497429908549522130415e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.56 Order of pole = 2.183 x[1] = -1.189 y[1] (analytic) = -0.87152536365765024645640158279211 y[1] (numeric) = -0.8715253636576503064216307498624 absolute error = 5.996522916707029e-17 relative error = 6.8804915688748257622288815154549e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.559 Order of pole = 2.183 x[1] = -1.188 y[1] (analytic) = -0.87111086140742960930090574242953 y[1] (numeric) = -0.8711108614074296696270943218575 absolute error = 6.032618857942797e-17 relative error = 6.9252022046838703936396903746533e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.558 Order of pole = 2.183 x[1] = -1.187 y[1] (analytic) = -0.87069595052920582611621604295923 y[1] (numeric) = -0.87069595052920588680494262450422 absolute error = 6.068872658154499e-17 relative error = 6.9701399833843953356477570650778e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.558 Order of pole = 2.183 x[1] = -1.186 y[1] (analytic) = -0.87028063056149151166495685849426 y[1] (numeric) = -0.87028063056149157271780462040963 absolute error = 6.105284776191537e-17 relative error = 7.0153058241138864920230591772820e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.557 Order of pole = 2.184 x[1] = -1.185 y[1] (analytic) = -0.86986490104245332066925643137952 y[1] (numeric) = -0.86986490104245338208781313979153 absolute error = 6.141855670841201e-17 relative error = 7.0607006484348893291216572780600e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.556 Order of pole = 2.184 x[1] = -1.184 y[1] (analytic) = -0.86944876150991288751544693932856 y[1] (numeric) = -0.86944876150991294930130494747193 absolute error = 6.178585800814337e-17 relative error = 7.1063253803299515032509750729789e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.555 Order of pole = 2.184 x[1] = -1.183 y[1] (analytic) = -0.86903221150134777347553576292759 y[1] (numeric) = -0.8690322115013478356302920102364 absolute error = 6.215475624730881e-17 relative error = 7.1521809461964247112703073644721e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.555 Order of pole = 2.184 x[1] = -1.182 y[1] (analytic) = -0.86861525055389242147818644390392 y[1] (numeric) = -0.8686152505538924840034424549564 absolute error = 6.252525601105248e-17 relative error = 7.1982682748411126270217434336694e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.554 Order of pole = 2.184 x[1] = -1.181 y[1] (analytic) = -0.86819787820433911846204217241719 y[1] (numeric) = -0.86819787820433918135940405573306 absolute error = 6.289736188331587e-17 relative error = 7.2445882974747770734283885341812e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.553 Order of pole = 2.184 x[1] = -1.18 y[1] (analytic) = -0.86778009398913896534431896837048 y[1] (numeric) = -0.86778009398913902861539741505932 absolute error = 6.327107844668884e-17 relative error = 7.2911419477064812060249100256827e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.552 Order of pole = 2.184 x[1] = -1.179 y[1] (analytic) = -0.86736189744440285463769002432538 y[1] (numeric) = -0.86736189744440291828410030658472 absolute error = 6.364641028225934e-17 relative error = 7.3379301615377933636397665473277e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.551 Order of pole = 2.185 x[1] = -1.178 y[1] (analytic) = -0.86694328810590245574857695298421 y[1] (numeric) = -0.86694328810590251977193892244588 absolute error = 6.402336196946167e-17 relative error = 7.3849538773568338057171002833888e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.551 Order of pole = 2.185 x[1] = -1.177 y[1] (analytic) = -0.86652426550907120799005792728567 y[1] (numeric) = -0.86652426550907127239199601320883 absolute error = 6.440193808592316e-17 relative error = 7.4322140359321499469923749138417e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.55 Order of pole = 2.185 x[1] = -1.176 y[1] (analytic) = -0.86610482918900532134269691283129 y[1] (numeric) = -0.86610482918900538612484012014094 absolute error = 6.478214320730965e-17 relative error = 7.4797115804064633718773377401985e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.549 Order of pole = 2.185 x[1] = -1.175 y[1] (analytic) = -0.86568497868046478499669236747438 y[1] (numeric) = -0.86568497868046485016067427464367 absolute error = 6.516398190716929e-17 relative error = 7.5274474562902327329995183487877e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.548 Order of pole = 2.185 x[1] = -1.174 y[1] (analytic) = -0.86526471351787438370883791828302 y[1] (numeric) = -0.86526471351787444925629667505797 absolute error = 6.554745875677495e-17 relative error = 7.5754226114550654092821100343722e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.548 Order of pole = 2.185 x[1] = -1.173 y[1] (analytic) = -0.8648440332353247220078816185301 y[1] (numeric) = -0.86484403323532478794045994349534 absolute error = 6.593257832496524e-17 relative error = 7.6236379961269773920874070041826e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.547 Order of pole = 2.185 x[1] = -1.172 y[1] (analytic) = -0.86442293736657325628196443362994 y[1] (numeric) = -0.86442293736657332260130961161377 absolute error = 6.631934517798383e-17 relative error = 7.6720945628794650014962756369870e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.546 Order of pole = 2.185 x[1] = -1.171 y[1] (analytic) = -0.86400142544504533478191260176575 y[1] (numeric) = -0.86400142544504540148967648108332 absolute error = 6.670776387931757e-17 relative error = 7.7207932666264456402630318532090e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=118.2MB, alloc=4.4MB, time=17.96 Complex estimate of poles used Radius of convergence = 1.545 Order of pole = 2.186 x[1] = -1.17 y[1] (analytic) = -0.86357949700383524557425245904025 y[1] (numeric) = -0.86357949700383531267209144857305 absolute error = 6.709783898953280e-17 relative error = 7.7697350646149964789869498150933e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.545 Order of pole = 2.186 x[1] = -1.169 y[1] (analytic) = -0.86315715157570727247791020700319 y[1] (numeric) = -0.86315715157570733996748527311357 absolute error = 6.748957506611038e-17 relative error = 7.8189209164179517589243014535776e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.544 Order of pole = 2.186 x[1] = -1.168 y[1] (analytic) = -0.86273438869309675901865292900854 y[1] (numeric) = -0.86273438869309682690162959228763 absolute error = 6.788297666327909e-17 relative error = 7.8683517839263176324693262915250e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.543 Order of pole = 2.186 x[1] = -1.167 y[1] (analytic) = -0.86231120788811118043542092763953 y[1] (numeric) = -0.86231120788811124871346925948705 absolute error = 6.827804833184752e-17 relative error = 7.9180286313415178025139875860192e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.542 Order of pole = 2.186 x[1] = -1.166 y[1] (analytic) = -0.86188760869253122377279515499178 y[1] (numeric) = -0.86188760869253129244758977402622 absolute error = 6.867479461903444e-17 relative error = 7.9679524251674681880741952221280e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.542 Order of pole = 2.186 x[1] = -1.165 y[1] (analytic) = -0.86146359063781187609393713747144 y[1] (numeric) = -0.86146359063781194516715720576904 absolute error = 6.907322006829760e-17 relative error = 8.0181241342024741907086804951616e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.541 Order of pole = 2.186 x[1] = -1.164 y[1] (analytic) = -0.86103915325508352084843235346227 y[1] (numeric) = -0.86103915325508359032176157262324 absolute error = 6.947332921916097e-17 relative error = 8.0685447295309510765861568858821e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.54 Order of pole = 2.186 x[1] = -1.163 y[1] (analytic) = -0.86061429607515304242956150222843 y[1] (numeric) = -0.86061429607515311230468810926889 absolute error = 6.987512660704046e-17 relative error = 8.1192151845149714742170705558361e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.539 Order of pole = 2.186 x[1] = -1.162 y[1] (analytic) = -0.86018901862850493895561750220035 y[1] (numeric) = -0.86018901862850500923423426526835 absolute error = 7.027861676306800e-17 relative error = 8.1701364747856254003649655217777e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.539 Order of pole = 2.187 x[1] = -1.161 y[1] (analytic) = -0.85976332044530244330997937275969 y[1] (numeric) = -0.8597633204453025139937835866738 absolute error = 7.068380421391411e-17 relative error = 8.2213095782342072439244925007825e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.538 Order of pole = 2.187 x[1] = -1.16 y[1] (analytic) = -0.85933720105538865247474738218528 y[1] (numeric) = -0.85933720105538872356544086379406 absolute error = 7.109069348160878e-17 relative error = 8.2727354750032081175542324699430e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.537 Order of pole = 2.187 x[1] = -1.159 y[1] (analytic) = -0.85891065998828766519283698189882 y[1] (numeric) = -0.85891065998828773669212606525971 absolute error = 7.149928908336089e-17 relative error = 8.3244151474771396332199108707228e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.536 Order of pole = 2.187 x[1] = -1.158 y[1] (analytic) = -0.85848369677320572799352208988201 y[1] (numeric) = -0.85848369677320579990311762125786 absolute error = 7.190959553137585e-17 relative error = 8.3763495802731511919786825321956e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.536 Order of pole = 2.187 x[1] = -1.157 y[1] (analytic) = -0.85805631093903238961651123041341 y[1] (numeric) = -0.85805631093903246193812856308521 absolute error = 7.232161733267180e-17 relative error = 8.4285397602314796426030094225785e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.535 Order of pole = 2.187 x[1] = -1.156 y[1] (analytic) = -0.85762850201434166386973287935281 y[1] (numeric) = -0.85762850201434173660509186824681 absolute error = 7.273535898889400e-17 relative error = 8.4809866764056875290314297604258e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.534 Order of pole = 2.187 x[1] = -1.155 y[1] (analytic) = -0.8572002695273932009560991003046 y[1] (numeric) = -0.85720026952739327410692409643236 absolute error = 7.315082499612776e-17 relative error = 8.5336913200527299633244888570221e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.533 Order of pole = 2.187 x[1] = -1.154 y[1] (analytic) = -0.85677161300613346730460918331194 y[1] (numeric) = -0.85677161300613354087262902802153 absolute error = 7.356801984470959e-17 relative error = 8.5866546846228121171842521159340e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.533 Order of pole = 2.187 x[1] = -1.153 y[1] (analytic) = -0.85634253197819693394124751042508 y[1] (numeric) = -0.85634253197819700792819552946184 absolute error = 7.398694801903676e-17 relative error = 8.6398777657490587255640054968006e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.532 Order of pole = 2.187 x[1] = -1.152 y[1] (analytic) = -0.85591302597090727343522226767391 y[1] (numeric) = -0.85591302597090734784283626504908 absolute error = 7.440761399737517e-17 relative error = 8.6933615612369831965027446632746e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.187 x[1] = -1.151 y[1] (analytic) = -0.85548309451127856545618389674488 y[1] (numeric) = -0.85548309451127864028620614841045 absolute error = 7.483002225166557e-17 relative error = 8.7471070710537602334196344049379e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.53 Order of pole = 2.188 x[1] = -1.15 y[1] (analytic) = -0.85505273712601651097815432807059 y[1] (numeric) = -0.85505273712601658623233157539865 absolute error = 7.525417724732806e-17 relative error = 8.8011152973172930238987274893218e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.53 Order of pole = 2.188 x[1] = -1.149 y[1] (analytic) = -0.85462195334151965516599005610624 y[1] (numeric) = -0.85462195334151973084607349917122 absolute error = 7.568008344306498e-17 relative error = 8.8553872442850870716755974979208e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.529 Order of pole = 2.188 x[1] = -1.148 y[1] (analytic) = -0.8541907426838806189802940032773 y[1] (numeric) = -0.85419074268388069508803929393926 absolute error = 7.610774529066196e-17 relative error = 8.9099239183429029902273618651801e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.528 Order of pole = 2.188 x[1] = -1.147 y[1] (analytic) = -0.85375910467888733953678286738632 y[1] (numeric) = -0.85375910467888741607395010217376 absolute error = 7.653716723478744e-17 relative error = 8.9647263279932237109278633720814e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.527 Order of pole = 2.188 x[1] = -1.146 y[1] (analytic) = -0.8533270388520243192562082540819 y[1] (numeric) = -0.85332703885202439622456196687217 absolute error = 7.696835371279027e-17 relative error = 9.0197954838434896669101315419423e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.527 Order of pole = 2.188 x[1] = -1.145 y[1] (analytic) = -0.85289454472847388384102135719752 y[1] (numeric) = -0.85289454472847396124233051169327 absolute error = 7.740130915449575e-17 relative error = 9.0751323985941432581431081977579e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.526 Order of pole = 2.188 x[1] = -1.144 y[1] (analytic) = -0.85246162183311744911506226121002 y[1] (numeric) = -0.85246162183311752695110024320989 absolute error = 7.783603798199987e-17 relative error = 9.1307380870264536828911122807995e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=122.0MB, alloc=4.4MB, time=18.56 Complex estimate of poles used Radius of convergence = 1.525 Order of pole = 2.188 x[1] = -1.143 y[1] (analytic) = -0.85202826969053679676264609755514 y[1] (numeric) = -0.8520282696905368750351907070169 absolute error = 7.827254460946176e-17 relative error = 9.1866135659901224416356909581080e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.524 Order of pole = 2.188 x[1] = -1.142 y[1] (analytic) = -0.85159448782501535900350928584565 y[1] (numeric) = -0.85159448782501543771434272874013 absolute error = 7.871083344289448e-17 relative error = 9.2427598543906839083924773020874e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.524 Order of pole = 2.188 x[1] = -1.141 y[1] (analytic) = -0.8511602757605395122401699279044 y[1] (numeric) = -0.85116027576053959139107880785834 absolute error = 7.915090887995394e-17 relative error = 9.2991779731766754740118472303288e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.523 Order of pole = 2.188 x[1] = -1.14 y[1] (analytic) = -0.85072563302079987971434709265195 y[1] (numeric) = -0.85072563302079995930712240237807 absolute error = 7.959277530972612e-17 relative error = 9.3558689453265963261671361918481e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.522 Order of pole = 2.188 x[1] = -1.139 y[1] (analytic) = -0.85029055912919264320917422894271 y[1] (numeric) = -0.85029055912919272324561134145519 absolute error = 8.003643711251248e-17 relative error = 9.4128337958356410750496747365452e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.521 Order of pole = 2.188 x[1] = -1.138 y[1] (analytic) = -0.84985505360882086383403226705359 y[1] (numeric) = -0.84985505360882094431593092666718 absolute error = 8.048189865961359e-17 relative error = 9.4700735517022108471017562562743e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.521 Order of pole = 2.188 x[1] = -1.137 y[1] (analytic) = -0.84941911598249581192891811328848 y[1] (numeric) = -0.84941911598249589285808242639941 absolute error = 8.092916431311093e-17 relative error = 9.5275892419141950579253064152729e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.52 Order of pole = 2.188 x[1] = -1.136 y[1] (analytic) = -0.84898274577273830612535420162564 y[1] (numeric) = -0.84898274577273838750359262727254 absolute error = 8.137823842564690e-17 relative error = 9.5853818974350276447743624020110e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.519 Order of pole = 2.188 x[1] = -1.135 y[1] (analytic) = -0.84854594250178006160093453702301 y[1] (numeric) = -0.84854594250178014343005987722602 absolute error = 8.182912534020301e-17 relative error = 9.6434525511895133013533835259731e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.518 Order of pole = 2.188 x[1] = -1.134 y[1] (analytic) = -0.84810870569156504756469224238946 y[1] (numeric) = -0.84810870569156512984652163226572 absolute error = 8.228182938987626e-17 relative error = 9.7018022380494239518271569626308e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.518 Order of pole = 2.188 x[1] = -1.133 y[1] (analytic) = -0.84767103486375085401056300077308 y[1] (numeric) = -0.84767103486375093674691789842669 absolute error = 8.273635489765361e-17 relative error = 9.7604319948188527213060260544008e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.517 Order of pole = 2.188 x[1] = -1.132 y[1] (analytic) = -0.84723292953971006777630796141679 y[1] (numeric) = -0.84723292953971015096901413760147 absolute error = 8.319270617618468e-17 relative error = 9.8193428602193409309663574622262e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.516 Order of pole = 2.188 x[1] = -1.131 y[1] (analytic) = -0.84679438924053165794534864835617 y[1] (numeric) = -0.84679438924053174159623617590871 absolute error = 8.365088752755254e-17 relative error = 9.8785358748747606403232421733180e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.515 Order of pole = 2.188 x[1] = -1.13 y[1] (analytic) = -0.8463554134870223706290551685152 y[1] (numeric) = -0.84635541348702245473995841155788 absolute error = 8.411090324304268e-17 relative error = 9.9380120812959623581057546522938e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.515 Order of pole = 2.188 x[1] = -1.129 y[1] (analytic) = -0.84591600179970813316711755808518 y[1] (numeric) = -0.84591600179970821773987516099527 absolute error = 8.457275760291009e-17 relative error = 9.9977725238651786646015656771346e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.514 Order of pole = 2.188 x[1] = -1.128 y[1] (analytic) = -0.84547615369883546778371842660505 y[1] (numeric) = -0.8454761536988355528201733027494 absolute error = 8.503645487614435e-17 relative error = 1.0057818248820170897477857283571e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.513 Order of pole = 2.188 x[1] = -1.127 y[1] (analytic) = -0.84503586870437291473731315281279 y[1] (numeric) = -0.84503586870437300023931247304585 absolute error = 8.550199932023306e-17 relative error = 1.0118150304238156880760400559066e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.512 Order of pole = 2.188 x[1] = -1.126 y[1] (analytic) = -0.84459514633601246500191175018609 y[1] (numeric) = -0.84459514633601255097130693110918 absolute error = 8.596939518092309e-17 relative error = 1.0178769740019457190876625966765e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.512 Order of pole = 2.188 x[1] = -1.125 y[1] (analytic) = -0.84415398611317100251784414827165 y[1] (numeric) = -0.84415398611317108895649084025177 absolute error = 8.643864669198012e-17 relative error = 1.0239677607870914465666846230872e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.511 Order of pole = 2.188 x[1] = -1.124 y[1] (analytic) = -0.8437123875549917560500780235181 y[1] (numeric) = -0.8437123875549918429598360984643 absolute error = 8.690975807494620e-17 relative error = 1.0300874961289052778102580016448e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.51 Order of pole = 2.188 x[1] = -1.123 y[1] (analytic) = -0.84327035018034576069224545543492 y[1] (numeric) = -0.84327035018034584807497899433023 absolute error = 8.738273353889531e-17 relative error = 1.0362362855542973600634759207431e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.509 Order of pole = 2.188 x[1] = -1.122 y[1] (analytic) = -0.84282787350783332905462157552018 y[1] (numeric) = -0.84282787350783341691219885570723 absolute error = 8.785757728018705e-17 relative error = 1.0424142347657002664232114103784e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.509 Order of pole = 2.188 x[1] = -1.121 y[1] (analytic) = -0.84238495705578553217438501251365 y[1] (numeric) = -0.84238495705578562050867849473206 absolute error = 8.833429348221841e-17 relative error = 1.0486214496393080703866321850334e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.508 Order of pole = 2.188 x[1] = -1.12 y[1] (analytic) = -0.84194160034226569018657631307918 y[1] (numeric) = -0.84194160034226577899946262825265 absolute error = 8.881288631517347e-17 relative error = 1.0548580362232879170992142967694e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.507 Order of pole = 2.188 x[1] = -1.119 y[1] (analytic) = -0.84149780288507087279425662690147 y[1] (numeric) = -0.84149780288507096208761656267267 absolute error = 8.929335993577120e-17 relative error = 1.0611241007359659936682732859322e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.506 Order of pole = 2.188 x[1] = -1.118 y[1] (analytic) = -0.84105356420173340957645478425806 y[1] (numeric) = -0.84105356420173349935217327126939 absolute error = 8.977571848701133e-17 relative error = 1.0674197495639874304976030403753e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.506 Order of pole = 2.188 x[1] = -1.117 y[1] (analytic) = -0.84060888380952241017257645721684 y[1] (numeric) = -0.84060888380952250043254255513496 absolute error = 9.025996609791812e-17 relative error = 1.0737450892604479977056272622795e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=125.8MB, alloc=4.4MB, time=19.14 Complex estimate of poles used Radius of convergence = 1.505 Order of pole = 2.188 x[1] = -1.116 y[1] (analytic) = -0.84016376122544529438203437749157 y[1] (numeric) = -0.84016376122544538512814126077378 absolute error = 9.074610688328221e-17 relative error = 1.0801002265429996170293179665257e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.504 Order of pole = 2.188 x[1] = -1.115 y[1] (analytic) = -0.83971819596624933221794357940112 y[1] (numeric) = -0.83971819596624942345208852280156 absolute error = 9.123414494340044e-17 relative error = 1.0864852682919282641580620334507e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.503 Order of pole = 2.188 x[1] = -1.114 y[1] (analytic) = -0.83927218754842319395381034001953 y[1] (numeric) = -0.83927218754842328567789470383317 absolute error = 9.172408436381364e-17 relative error = 1.0929003215482041405756575542355e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.503 Order of pole = 2.188 x[1] = -1.113 y[1] (analytic) = -0.83882573548819851020222789512899 y[1] (numeric) = -0.83882573548819860241815711017146 absolute error = 9.221592921504247e-17 relative error = 1.0993454935115049466980770350256e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.502 Order of pole = 2.188 x[1] = -1.112 y[1] (analytic) = -0.83837883930155144206467611361151 y[1] (numeric) = -0.83837883930155153477435966593262 absolute error = 9.270968355232111e-17 relative error = 1.1058208915382097513692220632981e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.501 Order of pole = 2.188 x[1] = -1.111 y[1] (analytic) = -0.83793149850420426139160610900939 y[1] (numeric) = -0.83793149850420435459695752433837 absolute error = 9.320535141532898e-17 relative error = 1.1123266231393654765724021381050e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.5 Order of pole = 2.188 x[1] = -1.11 y[1] (analytic) = -0.83748371261162694119207424968141 y[1] (numeric) = -0.8374837126116270348950110776018 absolute error = 9.370293682792039e-17 relative error = 1.1188627959786246809800426935957e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.5 Order of pole = 2.187 x[1] = -1.109 y[1] (analytic) = -0.83703548113903875623227319276935 y[1] (numeric) = -0.8370354811390388504347169906215 absolute error = 9.420244379785215e-17 relative error = 1.1254295178701548729309442374615e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.499 Order of pole = 2.187 x[1] = -1.108 y[1] (analytic) = -0.83658680360140989386239040651503 y[1] (numeric) = -0.8365868036014099885662667230241 absolute error = 9.470387631650907e-17 relative error = 1.1320268967765183885649495421500e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.498 Order of pole = 2.187 x[1] = -1.107 y[1] (analytic) = -0.83613767951346307511130715473607 y[1] (numeric) = -0.83613767951346317031854551336347 absolute error = 9.520723835862740e-17 relative error = 1.1386550408065233013575167598777e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.497 Order of pole = 2.187 x[1] = -1.106 y[1] (analytic) = -0.83568810838967518608873309084051 y[1] (numeric) = -0.83568810838967528180126697285671 absolute error = 9.571253388201620e-17 relative error = 1.1453140582130451128015687422877e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.497 Order of pole = 2.187 x[1] = -1.105 y[1] (analytic) = -0.83523808974427891973445344095598 y[1] (numeric) = -0.83523808974427901595422026823254 absolute error = 9.621976682727656e-17 relative error = 1.1520040573908181342954231275905e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.496 Order of pole = 2.187 x[1] = -1.104 y[1] (analytic) = -0.83478762309126442795444724084365 y[1] (numeric) = -0.83478762309126452468338835836242 absolute error = 9.672894111751877e-17 relative error = 1.1587251468741976212961814524620e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.495 Order of pole = 2.187 x[1] = -1.103 y[1] (analytic) = -0.83433670794438098418371622349463 y[1] (numeric) = -0.83433670794438108142377688157195 absolute error = 9.724006065807732e-17 relative error = 1.1654774353348910880107329040045e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.494 Order of pole = 2.187 x[1] = -1.102 y[1] (analytic) = -0.83388534381713865641574472785561 y[1] (numeric) = -0.83388534381713875416887406407943 absolute error = 9.775312933622382e-17 relative error = 1.1722610315796597418866755858396e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.494 Order of pole = 2.187 x[1] = -1.101 y[1] (analytic) = -0.83343353022280999073859140814839 y[1] (numeric) = -0.83343353022281008900674242902616 absolute error = 9.826815102087777e-17 relative error = 1.1790760445479890609082737129165e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.493 Order of pole = 2.187 x[1] = -1.1 y[1] (analytic) = -0.83298126667443170541769356183636 y[1] (numeric) = -0.83298126667443180420282312415153 absolute error = 9.878512956231517e-17 relative error = 1.1859225833097282522138537553712e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.492 Order of pole = 2.187 x[1] = -1.099 y[1] (analytic) = -0.83252855268480639556554455650889 y[1] (numeric) = -0.83252855268480649486961334838387 absolute error = 9.930406879187498e-17 relative error = 1.1928007570626985690792748075992e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.491 Order of pole = 2.187 x[1] = -1.098 y[1] (analytic) = -0.8320753877665042484384841158165 y[1] (numeric) = -0.83207538776650434826345663747996 absolute error = 9.982497252166346e-17 relative error = 1.1997106751302707030025940163261e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.491 Order of pole = 2.186 x[1] = -1.097 y[1] (analytic) = -0.83162177143186476940092011606585 y[1] (numeric) = -0.83162177143186486974876466032211 absolute error = 1.0034784454425626e-16 relative error = 1.2066524469589095440444337984791e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.49 Order of pole = 2.186 x[1] = -1.096 y[1] (analytic) = -0.83116770319299851859737904209964 y[1] (numeric) = -0.83116770319299861947006767449803 absolute error = 1.0087268863239839e-16 relative error = 1.2136261821156877226745170087940e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.489 Order of pole = 2.186 x[1] = -1.095 y[1] (analytic) = -0.83071318256178885837286034752405 y[1] (numeric) = -0.83071318256178895977236888622607 absolute error = 1.0139950853870202e-16 relative error = 1.2206319902857671851461802026706e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.488 Order of pole = 2.186 x[1] = -1.094 y[1] (analytic) = -0.83025820904989371148204765404158 y[1] (numeric) = -0.83025820904989381341035564938355 absolute error = 1.0192830799534197e-16 relative error = 1.2276699812698469665589917799029e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.488 Order of pole = 2.186 x[1] = -1.093 y[1] (analytic) = -0.829802782168747330128007001391 y[1] (numeric) = -0.82980278216874743258709771514016 absolute error = 1.0245909071374916e-16 relative error = 1.2347402649815802580459539040892e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.487 Order of pole = 2.186 x[1] = -1.092 y[1] (analytic) = -0.82934690142956207587107921693591 y[1] (numeric) = -0.8293469014295621788629396012376 absolute error = 1.0299186038430169e-16 relative error = 1.2418429514449566429035665866523e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.486 Order of pole = 2.186 x[1] = -1.091 y[1] (analytic) = -0.8288905663433302104487499059786 y[1] (numeric) = -0.82889056634333031397537058199237 absolute error = 1.0352662067601377e-16 relative error = 1.2489781507916519931085952632522e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.485 Order of pole = 2.186 x[1] = -1.09 y[1] (analytic) = -0.82843377642082569754735656406296 y[1] (numeric) = -0.82843377642082580161073180028539 absolute error = 1.0406337523622243e-16 relative error = 1.2561459732583450274270973819907e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=129.7MB, alloc=4.4MB, time=19.73 Complex estimate of poles used Radius of convergence = 1.485 Order of pole = 2.185 x[1] = -1.089 y[1] (analytic) = -0.82797653117260601556656787447792 y[1] (numeric) = -0.82797653117260612016869556474986 absolute error = 1.0460212769027194e-16 relative error = 1.2633465291839995272978299937615e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.484 Order of pole = 2.185 x[1] = -1.088 y[1] (analytic) = -0.82751883010901398141764537144525 y[1] (numeric) = -0.82751883010901408656052701264126 absolute error = 1.0514288164119601e-16 relative error = 1.2705799290071128934064079481699e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.483 Order of pole = 2.185 x[1] = -1.087 y[1] (analytic) = -0.82706067274017958539657231559006 y[1] (numeric) = -0.82706067274017969108221298498777 absolute error = 1.0568564066939771e-16 relative error = 1.2778462832629301564152882987269e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.482 Order of pole = 2.185 x[1] = -1.086 y[1] (analytic) = -0.82660205857602183717320883672012 y[1] (numeric) = -0.82660205857602194340361716904726 absolute error = 1.0623040833232714e-16 relative error = 1.2851457025806236395364200005279e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.482 Order of pole = 2.185 x[1] = -1.085 y[1] (analytic) = -0.82614298712625062293770614310606 y[1] (numeric) = -0.82614298712625072971489430726289 absolute error = 1.0677718816415683e-16 relative error = 1.2924782976804378656359383011562e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.481 Order of pole = 2.185 x[1] = -1.084 y[1] (analytic) = -0.82568345790036857374548586973706 y[1] (numeric) = -0.82568345790036868107146954519187 absolute error = 1.0732598367545481e-16 relative error = 1.2998441793707988146461584791156e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.48 Order of pole = 2.185 x[1] = -1.083 y[1] (analytic) = -0.82522347040767294510216343375631 y[1] (numeric) = -0.82522347040767305297896178661175 absolute error = 1.0787679835285544e-16 relative error = 1.3072434585453884500997815705585e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.479 Order of pole = 2.185 x[1] = -1.082 y[1] (analytic) = -0.82476302415725750782986657674292 y[1] (numeric) = -0.82476302415725761625950223547079 absolute error = 1.0842963565872787e-16 relative error = 1.3146762461801827695934393742979e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.479 Order of pole = 2.184 x[1] = -1.081 y[1] (analytic) = -0.8243021186580144502564720939379 y[1] (numeric) = -0.82430211865801455924097112478019 absolute error = 1.0898449903084229e-16 relative error = 1.3221426533304551436420392597153e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.478 Order of pole = 2.184 x[1] = -1.08 y[1] (analytic) = -0.82384075341863629176935507310251 y[1] (numeric) = -0.82384075341863640131074695513624 absolute error = 1.0954139188203373e-16 relative error = 1.3296427911277418592867631713946e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.477 Order of pole = 2.184 x[1] = -1.079 y[1] (analytic) = -0.82337892794761780777531578358861 y[1] (numeric) = -0.82337892794761791787563338345227 absolute error = 1.1010031759986366e-16 relative error = 1.3371767707767727213990730313883e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.476 Order of pole = 2.184 x[1] = -1.078 y[1] (analytic) = -0.82291664175325796610841966248861 y[1] (numeric) = -0.82291664175325807676969920876778 absolute error = 1.1066127954627917e-16 relative error = 1.3447447035523638653299230746960e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.476 Order of pole = 2.184 x[1] = -1.077 y[1] (analytic) = -0.8224538943436618749275556324629 y[1] (numeric) = -0.82245389434366198615183668973269 absolute error = 1.1122428105726979e-16 relative error = 1.3523467007962733255078473947545e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.475 Order of pole = 2.184 x[1] = -1.076 y[1] (analytic) = -0.82199068522674274214558724801428 y[1] (numeric) = -0.82199068522674285393491269053632 absolute error = 1.1178932544252204e-16 relative error = 1.3599828739140202712853109855928e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.474 Order of pole = 2.184 x[1] = -1.075 y[1] (analytic) = -0.82152701391022384643203989654275 y[1] (numeric) = -0.82152701391022395878845588161431 absolute error = 1.1235641598507156e-16 relative error = 1.3676533343716659033372740269820e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.473 Order of pole = 2.183 x[1] = -1.074 y[1] (analytic) = -0.82106287990164051983133547037153 y[1] (numeric) = -0.82106287990164063275689141132439 absolute error = 1.1292555594095286e-16 relative error = 1.3753581936925563082054242437018e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.473 Order of pole = 2.183 x[1] = -1.073 y[1] (analytic) = -0.82059828270834214203865356894012 y[1] (numeric) = -0.82059828270834225553540210778685 absolute error = 1.1349674853884673e-16 relative error = 1.3830975634540275691858340206664e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.472 Order of pole = 2.183 x[1] = -1.072 y[1] (analytic) = -0.82013322183749414637556537931749 y[1] (numeric) = -0.82013322183749426044556235904271 absolute error = 1.1406999697972522e-16 relative error = 1.3908715552840718472606674929872e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.471 Order of pole = 2.183 x[1] = -1.071 y[1] (analytic) = -0.81966769679608003750765291085383 y[1] (numeric) = -0.81966769679608015215295734734811 absolute error = 1.1464530443649428e-16 relative error = 1.3986802808579653352025922078986e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.47 Order of pole = 2.183 x[1] = -1.07 y[1] (analytic) = -0.81920170709090342094639221886951 y[1] (numeric) = -0.81920170709090353616906627250344 absolute error = 1.1522267405363393e-16 relative error = 1.4065238518948563057865562434769e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.47 Order of pole = 2.183 x[1] = -1.069 y[1] (analytic) = -0.81873525222859004437764463543247 y[1] (numeric) = -0.81873525222859016017975358226856 absolute error = 1.1580210894683609e-16 relative error = 1.4144023801543146418137605952623e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.469 Order of pole = 2.183 x[1] = -1.068 y[1] (analytic) = -0.8182683317155898508591648251087 y[1] (numeric) = -0.81826833171558996724277702774862 absolute error = 1.1638361220263992e-16 relative error = 1.4223159774328408193451473010881e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.468 Order of pole = 2.182 x[1] = -1.067 y[1] (analytic) = -0.81780094505817904392959869264274 y[1] (numeric) = -0.81780094505817916089678557070755 absolute error = 1.1696718687806481e-16 relative error = 1.4302647555603358515993136746663e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.467 Order of pole = 2.182 x[1] = -1.066 y[1] (analytic) = -0.81733309176246216467150778034594 y[1] (numeric) = -0.81733309176246228222434378058676 absolute error = 1.1755283600024082e-16 relative error = 1.4382488263965295472044536152885e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.467 Order of pole = 2.182 x[1] = -1.065 y[1] (analytic) = -0.81686477133437418077101979799745 y[1] (numeric) = -0.81686477133437429891158236403427 absolute error = 1.1814056256603682e-16 relative error = 1.4462683018273699324479488213307e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.466 Order of pole = 2.182 x[1] = -1.064 y[1] (analytic) = -0.81639598327968258761676731970674 y[1] (numeric) = -0.81639598327968270634713686139284 absolute error = 1.1873036954168610e-16 relative error = 1.4543232937613708199363834553968e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.465 Order of pole = 2.182 x[1] = -1.063 y[1] (analytic) = -0.81592672710398952148083845280427 y[1] (numeric) = -0.81592672710398964080309831521377 absolute error = 1.1932225986240950e-16 relative error = 1.4624139141259179230969422793085e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.465 Order of pole = 2.182 memory used=133.5MB, alloc=4.4MB, time=20.32 x[1] = -1.062 y[1] (analytic) = -0.81545700231273388482452442572805 y[1] (numeric) = -0.81545700231273400474076085776417 absolute error = 1.1991623643203612e-16 relative error = 1.4705402748635340395924432250938e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.464 Order of pole = 2.181 x[1] = -1.061 y[1] (analytic) = -0.8149868084111934837717095473155 y[1] (numeric) = -0.81498680841119360428401166993704 absolute error = 1.2051230212262154e-16 relative error = 1.4787024879281022331921590583345e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.463 Order of pole = 2.181 x[1] = -1.06 y[1] (analytic) = -0.8145161449044871777928088510994 y[1] (numeric) = -0.81451614490448729890326862516298 absolute error = 1.2111045977406358e-16 relative error = 1.4869006652810471655939280307840e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.462 Order of pole = 2.181 x[1] = -1.059 y[1] (analytic) = -0.81404501129757704164221794730035 y[1] (numeric) = -0.81404501129757716335293014101587 absolute error = 1.2171071219371552e-16 relative error = 1.4951349188874733782767304271104e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.462 Order of pole = 2.181 x[1] = -1.058 y[1] (analytic) = -0.81357340709527053959229815431042 y[1] (numeric) = -0.81357340709527066190536031030731 absolute error = 1.2231306215599689e-16 relative error = 1.5034053607122616534330616192795e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.461 Order of pole = 2.181 x[1] = -1.057 y[1] (analytic) = -0.81310133180222271200697786262905 y[1] (numeric) = -0.81310133180222283492449026463076 absolute error = 1.2291751240200171e-16 relative error = 1.5117121027161217587347692057808e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.46 Order of pole = 2.181 x[1] = -1.056 y[1] (analytic) = -0.81262878492293837429810828944388 y[1] (numeric) = -0.8126287849229384978221739285481 absolute error = 1.2352406563910422e-16 relative error = 1.5200552568516018408696795131147e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.459 Order of pole = 2.181 x[1] = -1.055 y[1] (analytic) = -0.81215576596177432830776830329865 y[1] (numeric) = -0.81215576596177445244049284386078 absolute error = 1.2413272454056213e-16 relative error = 1.5284349350590546100124651401994e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.459 Order of pole = 2.18 x[1] = -1.054 y[1] (analytic) = -0.8116822744229415861597688274566 y[1] (numeric) = -0.81168227442294171090326057257393 absolute error = 1.2474349174511733e-16 relative error = 1.5368512492625593483704325625216e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.458 Order of pole = 2.18 x[1] = -1.053 y[1] (analytic) = -0.8112083098105076066236624594993 y[1] (numeric) = -0.81120830981050773198003231609332 absolute error = 1.2535636985659402e-16 relative error = 1.5453043113657990170927592913471e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.457 Order of pole = 2.18 x[1] = -1.052 y[1] (analytic) = -0.81073387162839854403461836519281 y[1] (numeric) = -0.81073387162839867000597980868719 absolute error = 1.2597136144349438e-16 relative error = 1.5537942332478937050573003486543e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.456 Order of pole = 2.18 x[1] = -1.051 y[1] (analytic) = -0.81025895938040150981257620845091 y[1] (numeric) = -0.81025895938040163640104524704257 absolute error = 1.2658846903859166e-16 relative error = 1.5623211267591887059513764155437e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.456 Order of pole = 2.18 x[1] = -1.05 y[1] (analytic) = -0.80978357257016684662414585801889 y[1] (numeric) = -0.80978357257016697383184099653957 absolute error = 1.2720769513852068e-16 relative error = 1.5708851037169968595075865445121e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.455 Order of pole = 2.18 x[1] = -1.049 y[1] (analytic) = -0.80930771070121041523077185693212 y[1] (numeric) = -0.80930771070121054305981406029799 absolute error = 1.2782904220336587e-16 relative error = 1.5794862759012965199898396955731e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.454 Order of pole = 2.18 x[1] = -1.048 y[1] (analytic) = -0.8088313732769158940667331444573 y[1] (numeric) = -0.80883137327691602251924580070388 absolute error = 1.2845251265624658e-16 relative error = 1.5881247550503815751045453233103e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.453 Order of pole = 2.179 x[1] = -1.047 y[1] (analytic) = -0.80835455980053709159059927363556 y[1] (numeric) = -0.80835455980053722066870815653561 absolute error = 1.2907810888290005e-16 relative error = 1.5968006528564680854509943978938e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.453 Order of pole = 2.179 x[1] = -1.046 y[1] (analytic) = -0.80787726977520027145381436219776 y[1] (numeric) = -0.80787726977520040115964759345932 absolute error = 1.2970583323126156e-16 relative error = 1.6055140809612513662838515285750e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.452 Order of pole = 2.179 x[1] = -1.045 y[1] (analytic) = -0.80739950270390649053012924194074 y[1] (numeric) = -0.80739950270390662086581725298291 absolute error = 1.3033568801104217e-16 relative error = 1.6142651509514183262509589765412e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.451 Order of pole = 2.179 x[1] = -1.044 y[1] (analytic) = -0.80692125808953394984965072301643 y[1] (numeric) = -0.80692125808953408081732621632021 absolute error = 1.3096767549330378e-16 relative error = 1.6230539743541114724937667866928e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.451 Order of pole = 2.179 x[1] = -1.043 y[1] (analytic) = -0.80644253543484035848132455631469 y[1] (numeric) = -0.80644253543484049008312246634632 absolute error = 1.3160179791003163e-16 relative error = 1.6318806626323458095649794686102e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.45 Order of pole = 2.179 x[1] = -1.042 y[1] (analytic) = -0.80596333424246531040771555048592 y[1] (numeric) = -0.8059633342424654426457730041901 absolute error = 1.3223805745370418e-16 relative error = 1.6407453271803776311059839447712e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.449 Order of pole = 2.179 x[1] = -1.041 y[1] (analytic) = -0.80548365401493267443599437136622 y[1] (numeric) = -0.80548365401493280731245064822662 absolute error = 1.3287645627686040e-16 relative error = 1.6496480793190253148173328116450e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.448 Order of pole = 2.178 x[1] = -1.04 y[1] (analytic) = -0.80500349425465299718908581179884 y[1] (numeric) = -0.80500349425465313070608230346324 absolute error = 1.3351699649166440e-16 relative error = 1.6585890302909409885511285024088e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.448 Order of pole = 2.178 x[1] = -1.039 y[1] (analytic) = -0.80452285446392591922097776019939 y[1] (numeric) = -0.8045228544639260533806579296669 absolute error = 1.3415968016946751e-16 relative error = 1.6675682912558341662912934034693e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.447 Order of pole = 2.178 x[1] = -1.038 y[1] (analytic) = -0.80404173414494260430023370774418 y[1] (numeric) = -0.80404173414494273910474304811184 absolute error = 1.3480450934036766e-16 relative error = 1.6765859732856452233594338803248e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.446 Order of pole = 2.178 x[1] = -1.037 y[1] (analytic) = -0.80356013279978818190579440777151 y[1] (numeric) = -0.80356013279978831735728040053769 absolute error = 1.3545148599276618e-16 relative error = 1.6856421873596699290052671850404e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.445 Order of pole = 2.178 x[1] = -1.036 y[1] (analytic) = -0.80307804993044420297919622782263 y[1] (numeric) = -0.80307804993044433907980830074455 absolute error = 1.3610061207292192e-16 relative error = 1.6947370443596335198815552080831e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.445 Order of pole = 2.178 memory used=137.3MB, alloc=4.4MB, time=20.91 x[1] = -1.035 y[1] (analytic) = -0.80259548503879110897737480560451 y[1] (numeric) = -0.8025954850387912457292642901073 absolute error = 1.3675188948450279e-16 relative error = 1.7038706550647152814920627571899e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.444 Order of pole = 2.178 x[1] = -1.034 y[1] (analytic) = -0.80211243762661071427026282587016 y[1] (numeric) = -0.80211243762661085167558291400472 absolute error = 1.3740532008813456e-16 relative error = 1.7130431301465213668580997759868e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.443 Order of pole = 2.177 x[1] = -1.033 y[1] (analytic) = -0.80162890719558870192743006656715 y[1] (numeric) = -0.80162890719558883998833576751425 absolute error = 1.3806090570094710e-16 relative error = 1.7222545801640078110071829849372e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.443 Order of pole = 2.177 x[1] = -1.032 y[1] (analytic) = -0.80114489324731713293805231033253 y[1] (numeric) = -0.80114489324731727165670040645041 absolute error = 1.3871864809611788e-16 relative error = 1.7315051155583512146941160429154e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.442 Order of pole = 2.177 x[1] = -1.031 y[1] (analytic) = -0.80066039528329696890853327218613 y[1] (numeric) = -0.80066039528329710828708227459902 absolute error = 1.3937854900241289e-16 relative error = 1.7407948466477688039672451834482e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.441 Order of pole = 2.177 x[1] = -1.03 y[1] (analytic) = -0.80017541280494060828214034671685 y[1] (numeric) = -0.80017541280494074832275045044164 absolute error = 1.4004061010372479e-16 relative error = 1.7501238836222852053194255676006e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.44 Order of pole = 2.177 x[1] = -1.029 y[1] (analytic) = -0.79968994531357443612505071873144 y[1] (numeric) = -0.79968994531357457682988375733991 absolute error = 1.4070483303860847e-16 relative error = 1.7594923365384478889547726270574e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.44 Order of pole = 2.177 x[1] = -1.028 y[1] (analytic) = -0.79920399231044138752323920075595 y[1] (numeric) = -0.79920399231044152889445860056987 absolute error = 1.4137121939981392e-16 relative error = 1.7689003153139897375833299117943e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.439 Order of pole = 2.177 x[1] = -1.027 y[1] (analytic) = -0.79871755329670352463467304940031 y[1] (numeric) = -0.79871755329670366667444378321667 absolute error = 1.4203977073381636e-16 relative error = 1.7783479297224378155422594735514e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.438 Order of pole = 2.177 x[1] = -1.026 y[1] (analytic) = -0.7982306277734446274413119608184 y[1] (numeric) = -0.79823062777344477015180050116212 absolute error = 1.4271048854034372e-16 relative error = 1.7878352893876691612750209219650e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.437 Order of pole = 2.177 x[1] = -1.025 y[1] (analytic) = -0.79774321524167279824544344366491 y[1] (numeric) = -0.79774321524167294162881771556638 absolute error = 1.4338337427190147e-16 relative error = 1.7973625037784133008896032329551e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.437 Order of pole = 2.176 x[1] = -1.024 y[1] (analytic) = -0.7972553152023230799549148063568 y[1] (numeric) = -0.79725531520232322401334413965148 absolute error = 1.4405842933329468e-16 relative error = 1.8069296822026996727325604502486e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.436 Order of pole = 2.176 x[1] = -1.023 y[1] (analytic) = -0.7967669271562600882018530643258 y[1] (numeric) = -0.79676692715626023293750814547323 absolute error = 1.4473565508114743e-16 relative error = 1.8165369338022511550634888656249e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.435 Order of pole = 2.176 x[1] = -1.022 y[1] (analytic) = -0.79627805060428065733949316247976 y[1] (numeric) = -0.79627805060428080275454598589924 absolute error = 1.4541505282341948e-16 relative error = 1.8261843675468222563157425505848e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.435 Order of pole = 2.176 x[1] = -1.021 y[1] (analytic) = -0.79578868504711650036176300839759 y[1] (numeric) = -0.79578868504711664645838682731786 absolute error = 1.4609662381892027e-16 relative error = 1.8358720922284825297589724987970e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.434 Order of pole = 2.176 x[1] = -1.02 y[1] (analytic) = -0.79529882998543688279030091293498 y[1] (numeric) = -0.79529882998543702957067018975516 absolute error = 1.4678036927682018e-16 relative error = 1.8456002164558440156066776336271e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.433 Order of pole = 2.176 x[1] = -1.019 y[1] (analytic) = -0.79480848491985131057360712692719 y[1] (numeric) = -0.79480848491985145803989748308629 absolute error = 1.4746629035615910e-16 relative error = 1.8553688486482330163117362195860e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.432 Order of pole = 2.176 x[1] = -1.018 y[1] (analytic) = -0.79431764935091223204305623549979 y[1] (numeric) = -0.794317649350912380197444400852 absolute error = 1.4815438816535221e-16 relative error = 1.8651780970298046226761494782524e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.432 Order of pole = 2.176 x[1] = -1.017 y[1] (analytic) = -0.79382632277911775397052121503755 y[1] (numeric) = -0.79382632277911790281518497673073 absolute error = 1.4884466376169318e-16 relative error = 1.8750280696236023044889369344953e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.431 Order of pole = 2.176 x[1] = -1.016 y[1] (analytic) = -0.79333450470491437177238296196316 y[1] (numeric) = -0.79333450470491452130950111281765 absolute error = 1.4953711815085449e-16 relative error = 1.8849188742455584610741761393478e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.43 Order of pole = 2.176 x[1] = -1.015 y[1] (analytic) = -0.79284219462869971390472105692811 y[1] (numeric) = -0.79284219462869986413647334331323 absolute error = 1.5023175228638512e-16 relative error = 1.8948506184984387426003311540333e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.43 Order of pole = 2.176 x[1] = -1.014 y[1] (analytic) = -0.79234939205082530049450242255327 y[1] (numeric) = -0.79234939205082545142306949175875 absolute error = 1.5092856706920548e-16 relative error = 1.9048234097657281698396181079976e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.429 Order of pole = 2.176 x[1] = -1.013 y[1] (analytic) = -0.79185609647159931625160435715196 y[1] (numeric) = -0.79185609647159946787916770425153 absolute error = 1.5162756334709957e-16 relative error = 1.9148373552054585844245054221469e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.428 Order of pole = 2.175 x[1] = -1.012 y[1] (analytic) = -0.79136230739128939770652717054556 y[1] (numeric) = -0.79136230739128955003526908475008 absolute error = 1.5232874191420452e-16 relative error = 1.9248925617439789798649385272463e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.427 Order of pole = 2.175 x[1] = -1.011 y[1] (analytic) = -0.79086802431012543481866930070553 y[1] (numeric) = -0.79086802431012558785077281120275 absolute error = 1.5303210351049722e-16 relative error = 1.9349891360696647065440010452991e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.427 Order of pole = 2.175 x[1] = -1.01 y[1] (analytic) = -0.79037324672830238700005434103398 y[1] (numeric) = -0.79037324672830254073770316231233 absolute error = 1.5373764882127835e-16 relative error = 1.9451271846265691139269335926941e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.426 Order of pole = 2.175 x[1] = -1.009 y[1] (analytic) = -0.78987797414598311359941484708087 y[1] (numeric) = -0.78987797414598326804479332373449 absolute error = 1.5444537847665362e-16 relative error = 1.9553068136080148796595653538782e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.425 Order of pole = 2.175 memory used=141.1MB, alloc=4.4MB, time=21.50 x[1] = -1.008 y[1] (analytic) = -0.78938220606330121889155210778431 y[1] (numeric) = -0.78938220606330137404684515879654 absolute error = 1.5515529305101223e-16 relative error = 1.9655281289501247937577975921949e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.424 Order of pole = 2.175 x[1] = -1.007 y[1] (analytic) = -0.78888594198036391161690424925101 y[1] (numeric) = -0.78888594198036406748429731175364 absolute error = 1.5586739306250263e-16 relative error = 1.9757912363252926509153454659006e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.424 Order of pole = 2.175 x[1] = -1.006 y[1] (analytic) = -0.78838918139725487911626707794983 y[1] (numeric) = -0.78838918139725503569794605045538 absolute error = 1.5658167897250555e-16 relative error = 1.9860962411355935106552500634169e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.423 Order of pole = 2.175 x[1] = -1.005 y[1] (analytic) = -0.78789192381403717610562295419854 y[1] (numeric) = -0.78789192381403733340377413930271 absolute error = 1.5729815118510417e-16 relative error = 1.9964432485061313107672667629325e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.422 Order of pole = 2.175 x[1] = -1.004 y[1] (analytic) = -0.78739416873075612813604270515221 y[1] (numeric) = -0.7873941687307562861528527517039 absolute error = 1.5801681004655169e-16 relative error = 2.0068323632783267609782774595574e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.422 Order of pole = 2.175 x[1] = -1.003 y[1] (analytic) = -0.78689591564744224978363412826506 y[1] (numeric) = -0.7868959156474424085212899730011 absolute error = 1.5873765584473604e-16 relative error = 2.0172636900031418489922270736735e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.421 Order of pole = 2.175 x[1] = -1.002 y[1] (analytic) = -0.7863971640641141776145179904516 y[1] (numeric) = -0.78639716406411433707520679909344 absolute error = 1.5946068880864184e-16 relative error = 2.0277373329342419760820309997789e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.42 Order of pole = 2.175 x[1] = -1.001 y[1] (analytic) = -0.78589791348078161796981858391858 y[1] (numeric) = -0.78589791348078177815572769172827 absolute error = 1.6018590910780969e-16 relative error = 2.0382533960210963614411582017232e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.419 Order of pole = 2.175 x[1] = -1 y[1] (analytic) = -0.78539816339744830961566084581988 y[1] (numeric) = -0.78539816339744847052897769761248 absolute error = 1.6091331685179260e-16 relative error = 2.0488119829020139186081650372225e-14 % h = 0.001 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = 1.0/ (x * x + 1.0) ; Iterations = 1000 Total Elapsed Time = 21 Seconds Elapsed Time(since restart) = 21 Seconds Expected Time Remaining = 43 Seconds Optimized Time Remaining = 43 Seconds Time to Timeout = 14 Minutes 38 Seconds Percent Done = 33.37 % > quit memory used=142.4MB, alloc=4.4MB, time=21.68