|\^/| 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 > DEBUGMASSIVE, > DEBUGL, > ALWAYS, > INFO, > glob_max_terms, > glob_iolevel, > #Top Generate Globals Decl > glob_smallish_float, > glob_max_rel_trunc_err, > glob_max_iter, > glob_hmax, > days_in_year, > glob_log10abserr, > glob_curr_iter_when_opt, > glob_small_float, > glob_last_good_h, > glob_iter, > glob_start, > glob_not_yet_finished, > years_in_century, > glob_html_log, > glob_orig_start_sec, > glob_abserr, > glob_reached_optimal_h, > hours_in_day, > glob_log10normmin, > glob_normmax, > glob_max_sec, > glob_hmin_init, > glob_h, > glob_initial_pass, > sec_in_min, > djd_debug2, > glob_dump, > glob_unchanged_h_cnt, > glob_max_trunc_err, > glob_large_float, > glob_optimal_expect_sec, > glob_log10relerr, > glob_relerr, > glob_dump_analytic, > glob_disp_incr, > glob_subiter_method, > MAX_UNCHANGED, > glob_current_iter, > glob_optimal_start, > glob_no_eqs, > glob_log10_relerr, > glob_look_poles, > centuries_in_millinium, > glob_warned2, > glob_warned, > glob_optimal_clock_start_sec, > glob_log10_abserr, > glob_hmin, > glob_optimal_done, > glob_clock_start_sec, > glob_clock_sec, > djd_debug, > glob_max_opt_iter, > glob_not_yet_start_msg, > glob_almost_1, > min_in_hour, > glob_percent_done, > glob_max_minutes, > glob_max_hours, > glob_display_flag, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > #END CONST > array_m1, > array_tmp0, > array_tmp1, > array_tmp2, > array_type_pole, > array_tmp1_a1, > array_tmp1_a2, > array_fact_1, > array_norms, > array_y, > array_x, > array_last_rel_error, > array_pole, > array_y_init, > array_1st_rel_error, > array_y_set_initial, > array_y_higher_work2, > array_poles, > array_complex_pole, > array_real_pole, > array_fact_2, > array_y_higher, > 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 DEBUGMASSIVE, DEBUGL, ALWAYS, INFO, glob_max_terms, glob_iolevel, glob_smallish_float, glob_max_rel_trunc_err, glob_max_iter, glob_hmax, days_in_year, glob_log10abserr, glob_curr_iter_when_opt, glob_small_float, glob_last_good_h, glob_iter, glob_start, glob_not_yet_finished, years_in_century, glob_html_log, glob_orig_start_sec, glob_abserr, glob_reached_optimal_h, hours_in_day, glob_log10normmin, glob_normmax, glob_max_sec, glob_hmin_init, glob_h, glob_initial_pass, sec_in_min, djd_debug2, glob_dump, glob_unchanged_h_cnt, glob_max_trunc_err, glob_large_float, glob_optimal_expect_sec, glob_log10relerr, glob_relerr, glob_dump_analytic, glob_disp_incr, glob_subiter_method, MAX_UNCHANGED, glob_current_iter, glob_optimal_start, glob_no_eqs, glob_log10_relerr, glob_look_poles, centuries_in_millinium, glob_warned2, glob_warned, glob_optimal_clock_start_sec, glob_log10_abserr, glob_hmin, glob_optimal_done, glob_clock_start_sec, glob_clock_sec, djd_debug, glob_max_opt_iter, glob_not_yet_start_msg, glob_almost_1, min_in_hour, glob_percent_done, glob_max_minutes, glob_max_hours, glob_display_flag, array_const_1, array_const_0D0, array_m1, array_tmp0, array_tmp1, array_tmp2, array_type_pole, array_tmp1_a1, array_tmp1_a2, array_fact_1, array_norms, array_y, array_x, array_last_rel_error, array_pole, array_y_init, array_1st_rel_error, array_y_set_initial, array_y_higher_work2, array_poles, array_complex_pole, array_real_pole, array_fact_2, array_y_higher, 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 > DEBUGMASSIVE, > DEBUGL, > ALWAYS, > INFO, > glob_max_terms, > glob_iolevel, > #Top Generate Globals Decl > glob_smallish_float, > glob_max_rel_trunc_err, > glob_max_iter, > glob_hmax, > days_in_year, > glob_log10abserr, > glob_curr_iter_when_opt, > glob_small_float, > glob_last_good_h, > glob_iter, > glob_start, > glob_not_yet_finished, > years_in_century, > glob_html_log, > glob_orig_start_sec, > glob_abserr, > glob_reached_optimal_h, > hours_in_day, > glob_log10normmin, > glob_normmax, > glob_max_sec, > glob_hmin_init, > glob_h, > glob_initial_pass, > sec_in_min, > djd_debug2, > glob_dump, > glob_unchanged_h_cnt, > glob_max_trunc_err, > glob_large_float, > glob_optimal_expect_sec, > glob_log10relerr, > glob_relerr, > glob_dump_analytic, > glob_disp_incr, > glob_subiter_method, > MAX_UNCHANGED, > glob_current_iter, > glob_optimal_start, > glob_no_eqs, > glob_log10_relerr, > glob_look_poles, > centuries_in_millinium, > glob_warned2, > glob_warned, > glob_optimal_clock_start_sec, > glob_log10_abserr, > glob_hmin, > glob_optimal_done, > glob_clock_start_sec, > glob_clock_sec, > djd_debug, > glob_max_opt_iter, > glob_not_yet_start_msg, > glob_almost_1, > min_in_hour, > glob_percent_done, > glob_max_minutes, > glob_max_hours, > glob_display_flag, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > #END CONST > array_m1, > array_tmp0, > array_tmp1, > array_tmp2, > array_type_pole, > array_tmp1_a1, > array_tmp1_a2, > array_fact_1, > array_norms, > array_y, > array_x, > array_last_rel_error, > array_pole, > array_y_init, > array_1st_rel_error, > array_y_set_initial, > array_y_higher_work2, > array_poles, > array_complex_pole, > array_real_pole, > array_fact_2, > array_y_higher, > 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 DEBUGMASSIVE, DEBUGL, ALWAYS, INFO, glob_max_terms, glob_iolevel, glob_smallish_float, glob_max_rel_trunc_err, glob_max_iter, glob_hmax, days_in_year, glob_log10abserr, glob_curr_iter_when_opt, glob_small_float, glob_last_good_h, glob_iter, glob_start, glob_not_yet_finished, years_in_century, glob_html_log, glob_orig_start_sec, glob_abserr, glob_reached_optimal_h, hours_in_day, glob_log10normmin, glob_normmax, glob_max_sec, glob_hmin_init, glob_h, glob_initial_pass, sec_in_min, djd_debug2, glob_dump, glob_unchanged_h_cnt, glob_max_trunc_err, glob_large_float, glob_optimal_expect_sec, glob_log10relerr, glob_relerr, glob_dump_analytic, glob_disp_incr, glob_subiter_method, MAX_UNCHANGED, glob_current_iter, glob_optimal_start, glob_no_eqs, glob_log10_relerr, glob_look_poles, centuries_in_millinium, glob_warned2, glob_warned, glob_optimal_clock_start_sec, glob_log10_abserr, glob_hmin, glob_optimal_done, glob_clock_start_sec, glob_clock_sec, djd_debug, glob_max_opt_iter, glob_not_yet_start_msg, glob_almost_1, min_in_hour, glob_percent_done, glob_max_minutes, glob_max_hours, glob_display_flag, array_const_1, array_const_0D0, array_m1, array_tmp0, array_tmp1, array_tmp2, array_type_pole, array_tmp1_a1, array_tmp1_a2, array_fact_1, array_norms, array_y, array_x, array_last_rel_error, array_pole, array_y_init, array_1st_rel_error, array_y_set_initial, array_y_higher_work2, array_poles, array_complex_pole, array_real_pole, array_fact_2, array_y_higher, 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 > DEBUGMASSIVE, > DEBUGL, > ALWAYS, > INFO, > glob_max_terms, > glob_iolevel, > #Top Generate Globals Decl > glob_smallish_float, > glob_max_rel_trunc_err, > glob_max_iter, > glob_hmax, > days_in_year, > glob_log10abserr, > glob_curr_iter_when_opt, > glob_small_float, > glob_last_good_h, > glob_iter, > glob_start, > glob_not_yet_finished, > years_in_century, > glob_html_log, > glob_orig_start_sec, > glob_abserr, > glob_reached_optimal_h, > hours_in_day, > glob_log10normmin, > glob_normmax, > glob_max_sec, > glob_hmin_init, > glob_h, > glob_initial_pass, > sec_in_min, > djd_debug2, > glob_dump, > glob_unchanged_h_cnt, > glob_max_trunc_err, > glob_large_float, > glob_optimal_expect_sec, > glob_log10relerr, > glob_relerr, > glob_dump_analytic, > glob_disp_incr, > glob_subiter_method, > MAX_UNCHANGED, > glob_current_iter, > glob_optimal_start, > glob_no_eqs, > glob_log10_relerr, > glob_look_poles, > centuries_in_millinium, > glob_warned2, > glob_warned, > glob_optimal_clock_start_sec, > glob_log10_abserr, > glob_hmin, > glob_optimal_done, > glob_clock_start_sec, > glob_clock_sec, > djd_debug, > glob_max_opt_iter, > glob_not_yet_start_msg, > glob_almost_1, > min_in_hour, > glob_percent_done, > glob_max_minutes, > glob_max_hours, > glob_display_flag, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > #END CONST > array_m1, > array_tmp0, > array_tmp1, > array_tmp2, > array_type_pole, > array_tmp1_a1, > array_tmp1_a2, > array_fact_1, > array_norms, > array_y, > array_x, > array_last_rel_error, > array_pole, > array_y_init, > array_1st_rel_error, > array_y_set_initial, > array_y_higher_work2, > array_poles, > array_complex_pole, > array_real_pole, > array_fact_2, > array_y_higher, > 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 DEBUGMASSIVE, DEBUGL, ALWAYS, INFO, glob_max_terms, glob_iolevel, glob_smallish_float, glob_max_rel_trunc_err, glob_max_iter, glob_hmax, days_in_year, glob_log10abserr, glob_curr_iter_when_opt, glob_small_float, glob_last_good_h, glob_iter, glob_start, glob_not_yet_finished, years_in_century, glob_html_log, glob_orig_start_sec, glob_abserr, glob_reached_optimal_h, hours_in_day, glob_log10normmin, glob_normmax, glob_max_sec, glob_hmin_init, glob_h, glob_initial_pass, sec_in_min, djd_debug2, glob_dump, glob_unchanged_h_cnt, glob_max_trunc_err, glob_large_float, glob_optimal_expect_sec, glob_log10relerr, glob_relerr, glob_dump_analytic, glob_disp_incr, glob_subiter_method, MAX_UNCHANGED, glob_current_iter, glob_optimal_start, glob_no_eqs, glob_log10_relerr, glob_look_poles, centuries_in_millinium, glob_warned2, glob_warned, glob_optimal_clock_start_sec, glob_log10_abserr, glob_hmin, glob_optimal_done, glob_clock_start_sec, glob_clock_sec, djd_debug, glob_max_opt_iter, glob_not_yet_start_msg, glob_almost_1, min_in_hour, glob_percent_done, glob_max_minutes, glob_max_hours, glob_display_flag, array_const_1, array_const_0D0, array_m1, array_tmp0, array_tmp1, array_tmp2, array_type_pole, array_tmp1_a1, array_tmp1_a2, array_fact_1, array_norms, array_y, array_x, array_last_rel_error, array_pole, array_y_init, array_1st_rel_error, array_y_set_initial, array_y_higher_work2, array_poles, array_complex_pole, array_real_pole, array_fact_2, array_y_higher, 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 > DEBUGMASSIVE, > DEBUGL, > ALWAYS, > INFO, > glob_max_terms, > glob_iolevel, > #Top Generate Globals Decl > glob_smallish_float, > glob_max_rel_trunc_err, > glob_max_iter, > glob_hmax, > days_in_year, > glob_log10abserr, > glob_curr_iter_when_opt, > glob_small_float, > glob_last_good_h, > glob_iter, > glob_start, > glob_not_yet_finished, > years_in_century, > glob_html_log, > glob_orig_start_sec, > glob_abserr, > glob_reached_optimal_h, > hours_in_day, > glob_log10normmin, > glob_normmax, > glob_max_sec, > glob_hmin_init, > glob_h, > glob_initial_pass, > sec_in_min, > djd_debug2, > glob_dump, > glob_unchanged_h_cnt, > glob_max_trunc_err, > glob_large_float, > glob_optimal_expect_sec, > glob_log10relerr, > glob_relerr, > glob_dump_analytic, > glob_disp_incr, > glob_subiter_method, > MAX_UNCHANGED, > glob_current_iter, > glob_optimal_start, > glob_no_eqs, > glob_log10_relerr, > glob_look_poles, > centuries_in_millinium, > glob_warned2, > glob_warned, > glob_optimal_clock_start_sec, > glob_log10_abserr, > glob_hmin, > glob_optimal_done, > glob_clock_start_sec, > glob_clock_sec, > djd_debug, > glob_max_opt_iter, > glob_not_yet_start_msg, > glob_almost_1, > min_in_hour, > glob_percent_done, > glob_max_minutes, > glob_max_hours, > glob_display_flag, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > #END CONST > array_m1, > array_tmp0, > array_tmp1, > array_tmp2, > array_type_pole, > array_tmp1_a1, > array_tmp1_a2, > array_fact_1, > array_norms, > array_y, > array_x, > array_last_rel_error, > array_pole, > array_y_init, > array_1st_rel_error, > array_y_set_initial, > array_y_higher_work2, > array_poles, > array_complex_pole, > array_real_pole, > array_fact_2, > array_y_higher, > 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 DEBUGMASSIVE, DEBUGL, ALWAYS, INFO, glob_max_terms, glob_iolevel, glob_smallish_float, glob_max_rel_trunc_err, glob_max_iter, glob_hmax, days_in_year, glob_log10abserr, glob_curr_iter_when_opt, glob_small_float, glob_last_good_h, glob_iter, glob_start, glob_not_yet_finished, years_in_century, glob_html_log, glob_orig_start_sec, glob_abserr, glob_reached_optimal_h, hours_in_day, glob_log10normmin, glob_normmax, glob_max_sec, glob_hmin_init, glob_h, glob_initial_pass, sec_in_min, djd_debug2, glob_dump, glob_unchanged_h_cnt, glob_max_trunc_err, glob_large_float, glob_optimal_expect_sec, glob_log10relerr, glob_relerr, glob_dump_analytic, glob_disp_incr, glob_subiter_method, MAX_UNCHANGED, glob_current_iter, glob_optimal_start, glob_no_eqs, glob_log10_relerr, glob_look_poles, centuries_in_millinium, glob_warned2, glob_warned, glob_optimal_clock_start_sec, glob_log10_abserr, glob_hmin, glob_optimal_done, glob_clock_start_sec, glob_clock_sec, djd_debug, glob_max_opt_iter, glob_not_yet_start_msg, glob_almost_1, min_in_hour, glob_percent_done, glob_max_minutes, glob_max_hours, glob_display_flag, array_const_1, array_const_0D0, array_m1, array_tmp0, array_tmp1, array_tmp2, array_type_pole, array_tmp1_a1, array_tmp1_a2, array_fact_1, array_norms, array_y, array_x, array_last_rel_error, array_pole, array_y_init, array_1st_rel_error, array_y_set_initial, array_y_higher_work2, array_poles, array_complex_pole, array_real_pole, array_fact_2, array_y_higher, 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 > DEBUGMASSIVE, > DEBUGL, > ALWAYS, > INFO, > glob_max_terms, > glob_iolevel, > #Top Generate Globals Decl > glob_smallish_float, > glob_max_rel_trunc_err, > glob_max_iter, > glob_hmax, > days_in_year, > glob_log10abserr, > glob_curr_iter_when_opt, > glob_small_float, > glob_last_good_h, > glob_iter, > glob_start, > glob_not_yet_finished, > years_in_century, > glob_html_log, > glob_orig_start_sec, > glob_abserr, > glob_reached_optimal_h, > hours_in_day, > glob_log10normmin, > glob_normmax, > glob_max_sec, > glob_hmin_init, > glob_h, > glob_initial_pass, > sec_in_min, > djd_debug2, > glob_dump, > glob_unchanged_h_cnt, > glob_max_trunc_err, > glob_large_float, > glob_optimal_expect_sec, > glob_log10relerr, > glob_relerr, > glob_dump_analytic, > glob_disp_incr, > glob_subiter_method, > MAX_UNCHANGED, > glob_current_iter, > glob_optimal_start, > glob_no_eqs, > glob_log10_relerr, > glob_look_poles, > centuries_in_millinium, > glob_warned2, > glob_warned, > glob_optimal_clock_start_sec, > glob_log10_abserr, > glob_hmin, > glob_optimal_done, > glob_clock_start_sec, > glob_clock_sec, > djd_debug, > glob_max_opt_iter, > glob_not_yet_start_msg, > glob_almost_1, > min_in_hour, > glob_percent_done, > glob_max_minutes, > glob_max_hours, > glob_display_flag, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > #END CONST > array_m1, > array_tmp0, > array_tmp1, > array_tmp2, > array_type_pole, > array_tmp1_a1, > array_tmp1_a2, > array_fact_1, > array_norms, > array_y, > array_x, > array_last_rel_error, > array_pole, > array_y_init, > array_1st_rel_error, > array_y_set_initial, > array_y_higher_work2, > array_poles, > array_complex_pole, > array_real_pole, > array_fact_2, > array_y_higher, > 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 DEBUGMASSIVE, DEBUGL, ALWAYS, INFO, glob_max_terms, glob_iolevel, glob_smallish_float, glob_max_rel_trunc_err, glob_max_iter, glob_hmax, days_in_year, glob_log10abserr, glob_curr_iter_when_opt, glob_small_float, glob_last_good_h, glob_iter, glob_start, glob_not_yet_finished, years_in_century, glob_html_log, glob_orig_start_sec, glob_abserr, glob_reached_optimal_h, hours_in_day, glob_log10normmin, glob_normmax, glob_max_sec, glob_hmin_init, glob_h, glob_initial_pass, sec_in_min, djd_debug2, glob_dump, glob_unchanged_h_cnt, glob_max_trunc_err, glob_large_float, glob_optimal_expect_sec, glob_log10relerr, glob_relerr, glob_dump_analytic, glob_disp_incr, glob_subiter_method, MAX_UNCHANGED, glob_current_iter, glob_optimal_start, glob_no_eqs, glob_log10_relerr, glob_look_poles, centuries_in_millinium, glob_warned2, glob_warned, glob_optimal_clock_start_sec, glob_log10_abserr, glob_hmin, glob_optimal_done, glob_clock_start_sec, glob_clock_sec, djd_debug, glob_max_opt_iter, glob_not_yet_start_msg, glob_almost_1, min_in_hour, glob_percent_done, glob_max_minutes, glob_max_hours, glob_display_flag, array_const_1, array_const_0D0, array_m1, array_tmp0, array_tmp1, array_tmp2, array_type_pole, array_tmp1_a1, array_tmp1_a2, array_fact_1, array_norms, array_y, array_x, array_last_rel_error, array_pole, array_y_init, array_1st_rel_error, array_y_set_initial, array_y_higher_work2, array_poles, array_complex_pole, array_real_pole, array_fact_2, array_y_higher, 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 > DEBUGMASSIVE, > DEBUGL, > ALWAYS, > INFO, > glob_max_terms, > glob_iolevel, > #Top Generate Globals Decl > glob_smallish_float, > glob_max_rel_trunc_err, > glob_max_iter, > glob_hmax, > days_in_year, > glob_log10abserr, > glob_curr_iter_when_opt, > glob_small_float, > glob_last_good_h, > glob_iter, > glob_start, > glob_not_yet_finished, > years_in_century, > glob_html_log, > glob_orig_start_sec, > glob_abserr, > glob_reached_optimal_h, > hours_in_day, > glob_log10normmin, > glob_normmax, > glob_max_sec, > glob_hmin_init, > glob_h, > glob_initial_pass, > sec_in_min, > djd_debug2, > glob_dump, > glob_unchanged_h_cnt, > glob_max_trunc_err, > glob_large_float, > glob_optimal_expect_sec, > glob_log10relerr, > glob_relerr, > glob_dump_analytic, > glob_disp_incr, > glob_subiter_method, > MAX_UNCHANGED, > glob_current_iter, > glob_optimal_start, > glob_no_eqs, > glob_log10_relerr, > glob_look_poles, > centuries_in_millinium, > glob_warned2, > glob_warned, > glob_optimal_clock_start_sec, > glob_log10_abserr, > glob_hmin, > glob_optimal_done, > glob_clock_start_sec, > glob_clock_sec, > djd_debug, > glob_max_opt_iter, > glob_not_yet_start_msg, > glob_almost_1, > min_in_hour, > glob_percent_done, > glob_max_minutes, > glob_max_hours, > glob_display_flag, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > #END CONST > array_m1, > array_tmp0, > array_tmp1, > array_tmp2, > array_type_pole, > array_tmp1_a1, > array_tmp1_a2, > array_fact_1, > array_norms, > array_y, > array_x, > array_last_rel_error, > array_pole, > array_y_init, > array_1st_rel_error, > array_y_set_initial, > array_y_higher_work2, > array_poles, > array_complex_pole, > array_real_pole, > array_fact_2, > array_y_higher, > array_y_higher_work, > glob_last; > > local kkk, order_d, adj2, temporary, term; > #TOP ATOMALL > #END OUTFILE1 > #BEGIN ATOMHDR1 > #emit pre arctan $eq_no = 1 > array_tmp1[1] := arctan(array_x[1]); > array_tmp1_a1[1] := sin(array_tmp1[1]); > array_tmp1_a2[1] := cos(array_tmp1[1]); > #emit pre add $eq_no = 1 i = 1 > array_tmp2[1] := array_const_0D0[1] + array_tmp1[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_tmp2[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 arctan $eq_no = 1 > array_tmp1[2] := (ats(2,array_x,array_tmp1_a2,2) - array_x[1] * att(1,array_tmp1_a1,array_tmp1,2) - att(1,array_tmp1_a2,array_tmp1,2)) / (array_tmp1_a2[1] + array_x[1] * array_tmp1_a1[1]); > array_tmp1_a1[2] := att(1,array_tmp1_a2,array_tmp1,1); > array_tmp1_a2[2] := -att(1,array_tmp1_a1,array_tmp1,1); > #emit pre add $eq_no = 1 i = 2 > array_tmp2[2] := array_const_0D0[2] + array_tmp1[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_tmp2[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 arctan $eq_no = 1 > array_tmp1[3] := (ats(3,array_x,array_tmp1_a2,2) - array_x[1] * att(2,array_tmp1_a1,array_tmp1,2) - att(2,array_tmp1_a2,array_tmp1,2)) / (array_tmp1_a2[1] + array_x[1] * array_tmp1_a1[1]); > array_tmp1_a1[3] := att(2,array_tmp1_a2,array_tmp1,1); > array_tmp1_a2[3] := -att(2,array_tmp1_a1,array_tmp1,1); > #emit pre add $eq_no = 1 i = 3 > array_tmp2[3] := array_const_0D0[3] + array_tmp1[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_tmp2[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 arctan $eq_no = 1 > array_tmp1[4] := (ats(4,array_x,array_tmp1_a2,2) - array_x[1] * att(3,array_tmp1_a1,array_tmp1,2) - att(3,array_tmp1_a2,array_tmp1,2)) / (array_tmp1_a2[1] + array_x[1] * array_tmp1_a1[1]); > array_tmp1_a1[4] := att(3,array_tmp1_a2,array_tmp1,1); > array_tmp1_a2[4] := -att(3,array_tmp1_a1,array_tmp1,1); > #emit pre add $eq_no = 1 i = 4 > array_tmp2[4] := array_const_0D0[4] + array_tmp1[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_tmp2[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 arctan $eq_no = 1 > array_tmp1[5] := (ats(5,array_x,array_tmp1_a2,2) - array_x[1] * att(4,array_tmp1_a1,array_tmp1,2) - att(4,array_tmp1_a2,array_tmp1,2)) / (array_tmp1_a2[1] + array_x[1] * array_tmp1_a1[1]); > array_tmp1_a1[5] := att(4,array_tmp1_a2,array_tmp1,1); > array_tmp1_a2[5] := -att(4,array_tmp1_a1,array_tmp1,1); > #emit pre add $eq_no = 1 i = 5 > array_tmp2[5] := array_const_0D0[5] + array_tmp1[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_tmp2[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 atan $eq_no = 1 > array_tmp1[kkk] := (ats(kkk,array_x,array_tmp1_a2,2) - array_x[1] * att(kkk-1,array_tmp1_a1,array_tmp1,2) - att(kkk-1,array_tmp1_a2,array_tmp1,2))/(array_tmp1_a2[1] + array_x[1] * array_tmp1_a1[1]); > array_tmp1_a1[kkk] := att(kkk-1,array_tmp1_a2,array_tmp1,1); > array_tmp1_a2[kkk] := -att(kkk-1,array_tmp1_a1,array_tmp1,1); > #emit add $eq_no = 1 > array_tmp2[kkk] := array_const_0D0[kkk] + array_tmp1[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_tmp2[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 DEBUGMASSIVE, DEBUGL, ALWAYS, INFO, glob_max_terms, glob_iolevel, glob_smallish_float, glob_max_rel_trunc_err, glob_max_iter, glob_hmax, days_in_year, glob_log10abserr, glob_curr_iter_when_opt, glob_small_float, glob_last_good_h, glob_iter, glob_start, glob_not_yet_finished, years_in_century, glob_html_log, glob_orig_start_sec, glob_abserr, glob_reached_optimal_h, hours_in_day, glob_log10normmin, glob_normmax, glob_max_sec, glob_hmin_init, glob_h, glob_initial_pass, sec_in_min, djd_debug2, glob_dump, glob_unchanged_h_cnt, glob_max_trunc_err, glob_large_float, glob_optimal_expect_sec, glob_log10relerr, glob_relerr, glob_dump_analytic, glob_disp_incr, glob_subiter_method, MAX_UNCHANGED, glob_current_iter, glob_optimal_start, glob_no_eqs, glob_log10_relerr, glob_look_poles, centuries_in_millinium, glob_warned2, glob_warned, glob_optimal_clock_start_sec, glob_log10_abserr, glob_hmin, glob_optimal_done, glob_clock_start_sec, glob_clock_sec, djd_debug, glob_max_opt_iter, glob_not_yet_start_msg, glob_almost_1, min_in_hour, glob_percent_done, glob_max_minutes, glob_max_hours, glob_display_flag, array_const_1, array_const_0D0, array_m1, array_tmp0, array_tmp1, array_tmp2, array_type_pole, array_tmp1_a1, array_tmp1_a2, array_fact_1, array_norms, array_y, array_x, array_last_rel_error, array_pole, array_y_init, array_1st_rel_error, array_y_set_initial, array_y_higher_work2, array_poles, array_complex_pole, array_real_pole, array_fact_2, array_y_higher, array_y_higher_work, glob_last; array_tmp1[1] := arctan(array_x[1]); array_tmp1_a1[1] := sin(array_tmp1[1]); array_tmp1_a2[1] := cos(array_tmp1[1]); array_tmp2[1] := array_const_0D0[1] + array_tmp1[1]; if not array_y_set_initial[1, 2] then if 1 <= glob_max_terms then temporary := array_tmp2[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_tmp1_a2, 2) - array_x[1]*att(1, array_tmp1_a1, array_tmp1, 2) - att(1, array_tmp1_a2, array_tmp1, 2))/( array_tmp1_a2[1] + array_x[1]*array_tmp1_a1[1]); array_tmp1_a1[2] := att(1, array_tmp1_a2, array_tmp1, 1); array_tmp1_a2[2] := -att(1, array_tmp1_a1, array_tmp1, 1); array_tmp2[2] := array_const_0D0[2] + array_tmp1[2]; if not array_y_set_initial[1, 3] then if 2 <= glob_max_terms then temporary := array_tmp2[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_tmp1_a2, 2) - array_x[1]*att(2, array_tmp1_a1, array_tmp1, 2) - att(2, array_tmp1_a2, array_tmp1, 2))/( array_tmp1_a2[1] + array_x[1]*array_tmp1_a1[1]); array_tmp1_a1[3] := att(2, array_tmp1_a2, array_tmp1, 1); array_tmp1_a2[3] := -att(2, array_tmp1_a1, array_tmp1, 1); array_tmp2[3] := array_const_0D0[3] + array_tmp1[3]; if not array_y_set_initial[1, 4] then if 3 <= glob_max_terms then temporary := array_tmp2[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_tmp1_a2, 2) - array_x[1]*att(3, array_tmp1_a1, array_tmp1, 2) - att(3, array_tmp1_a2, array_tmp1, 2))/( array_tmp1_a2[1] + array_x[1]*array_tmp1_a1[1]); array_tmp1_a1[4] := att(3, array_tmp1_a2, array_tmp1, 1); array_tmp1_a2[4] := -att(3, array_tmp1_a1, array_tmp1, 1); array_tmp2[4] := array_const_0D0[4] + array_tmp1[4]; if not array_y_set_initial[1, 5] then if 4 <= glob_max_terms then temporary := array_tmp2[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_tmp1_a2, 2) - array_x[1]*att(4, array_tmp1_a1, array_tmp1, 2) - att(4, array_tmp1_a2, array_tmp1, 2))/( array_tmp1_a2[1] + array_x[1]*array_tmp1_a1[1]); array_tmp1_a1[5] := att(4, array_tmp1_a2, array_tmp1, 1); array_tmp1_a2[5] := -att(4, array_tmp1_a1, array_tmp1, 1); array_tmp2[5] := array_const_0D0[5] + array_tmp1[5]; if not array_y_set_initial[1, 6] then if 5 <= glob_max_terms then temporary := array_tmp2[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_tmp1_a2, 2) - array_x[1]*att(kkk - 1, array_tmp1_a1, array_tmp1, 2) - att(kkk - 1, array_tmp1_a2, array_tmp1, 2))/( array_tmp1_a2[1] + array_x[1]*array_tmp1_a1[1]); array_tmp1_a1[kkk] := att(kkk - 1, array_tmp1_a2, array_tmp1, 1); array_tmp1_a2[kkk] := -att(kkk - 1, array_tmp1_a1, array_tmp1, 1); array_tmp2[kkk] := array_const_0D0[kkk] + array_tmp1[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_tmp2[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) > if (nnn <= glob_max_terms) then # if number 13 > ret := array_fact_1[nnn]; > else > ret := nnn!; > fi;# end if 13 > ; > ret; > # End Function number 17 > end; Warning, `ret` is implicitly declared local to procedure `factorial_1` factorial_1 := proc(nnn) local ret; if nnn <= glob_max_terms then ret := array_fact_1[nnn] else ret := nnn! end if; ret end proc > # Begin Function number 18 > factorial_3 := proc(mmm,nnn) > if (nnn <= glob_max_terms) and (mmm <= glob_max_terms) then # if number 13 > ret := array_fact_2[mmm,nnn]; > else > ret := (mmm!)/(nnn!); > fi;# end if 13 > ; > ret; > # End Function number 18 > end; Warning, `ret` is implicitly declared local to procedure `factorial_3` factorial_3 := proc(mmm, nnn) local ret; if nnn <= glob_max_terms and mmm <= glob_max_terms then ret := array_fact_2[mmm, nnn] 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) > 2.0 + x * arctan(x) - log(x * x + 1.0)/2.0 > end; exact_soln_y := proc(x) 2.0 + x*arctan(x) - log(x*x + 1.0)/2.0 end proc > > #END USER DEF BLOCK > #END USER DEF BLOCK > #END OUTFILE5 > # Begin Function number 2 > mainprog := proc() > #BEGIN OUTFIEMAIN > local d1,d2,d3,d4,est_err_2,niii,done_once, > term,ord,order_diff,term_no,html_log_file, > rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter, > x_start,x_end > ,it, log10norm, max_terms, opt_iter, tmp; > #Top Generate Globals Definition > #Bottom Generate Globals Deninition > global > DEBUGMASSIVE, > DEBUGL, > ALWAYS, > INFO, > glob_max_terms, > glob_iolevel, > #Top Generate Globals Decl > glob_smallish_float, > glob_max_rel_trunc_err, > glob_max_iter, > glob_hmax, > days_in_year, > glob_log10abserr, > glob_curr_iter_when_opt, > glob_small_float, > glob_last_good_h, > glob_iter, > glob_start, > glob_not_yet_finished, > years_in_century, > glob_html_log, > glob_orig_start_sec, > glob_abserr, > glob_reached_optimal_h, > hours_in_day, > glob_log10normmin, > glob_normmax, > glob_max_sec, > glob_hmin_init, > glob_h, > glob_initial_pass, > sec_in_min, > djd_debug2, > glob_dump, > glob_unchanged_h_cnt, > glob_max_trunc_err, > glob_large_float, > glob_optimal_expect_sec, > glob_log10relerr, > glob_relerr, > glob_dump_analytic, > glob_disp_incr, > glob_subiter_method, > MAX_UNCHANGED, > glob_current_iter, > glob_optimal_start, > glob_no_eqs, > glob_log10_relerr, > glob_look_poles, > centuries_in_millinium, > glob_warned2, > glob_warned, > glob_optimal_clock_start_sec, > glob_log10_abserr, > glob_hmin, > glob_optimal_done, > glob_clock_start_sec, > glob_clock_sec, > djd_debug, > glob_max_opt_iter, > glob_not_yet_start_msg, > glob_almost_1, > min_in_hour, > glob_percent_done, > glob_max_minutes, > glob_max_hours, > glob_display_flag, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > #END CONST > array_m1, > array_tmp0, > array_tmp1, > array_tmp2, > array_type_pole, > array_tmp1_a1, > array_tmp1_a2, > array_fact_1, > array_norms, > array_y, > array_x, > array_last_rel_error, > array_pole, > array_y_init, > array_1st_rel_error, > array_y_set_initial, > array_y_higher_work2, > array_poles, > array_complex_pole, > array_real_pole, > array_fact_2, > array_y_higher, > array_y_higher_work, > glob_last; > glob_last; > ALWAYS := 1; > INFO := 2; > DEBUGL := 3; > DEBUGMASSIVE := 4; > glob_iolevel := INFO; > DEBUGMASSIVE := 4; > DEBUGL := 3; > ALWAYS := 1; > INFO := 2; > glob_max_terms := 30; > glob_iolevel := 5; > glob_smallish_float := 0.1e-100; > glob_max_rel_trunc_err := 0.1e-10; > glob_max_iter := 1000; > glob_hmax := 1.0; > days_in_year := 365.0; > glob_log10abserr := 0.0; > glob_curr_iter_when_opt := 0; > glob_small_float := 0.1e-50; > glob_last_good_h := 0.1; > glob_iter := 0; > glob_start := 0; > glob_not_yet_finished := true; > years_in_century := 100.0; > glob_html_log := true; > glob_orig_start_sec := 0.0; > glob_abserr := 0.1e-10; > glob_reached_optimal_h := false; > hours_in_day := 24.0; > glob_log10normmin := 0.1; > glob_normmax := 0.0; > glob_max_sec := 10000.0; > glob_hmin_init := 0.001; > glob_h := 0.1; > glob_initial_pass := true; > sec_in_min := 60.0; > djd_debug2 := true; > glob_dump := false; > glob_unchanged_h_cnt := 0; > glob_max_trunc_err := 0.1e-10; > glob_large_float := 9.0e100; > glob_optimal_expect_sec := 0.1; > glob_log10relerr := 0.0; > glob_relerr := 0.1e-10; > glob_dump_analytic := false; > glob_disp_incr := 0.1; > glob_subiter_method := 3; > MAX_UNCHANGED := 10; > glob_current_iter := 0; > glob_optimal_start := 0.0; > glob_no_eqs := 0; > glob_log10_relerr := 0.1e-10; > glob_look_poles := false; > centuries_in_millinium := 10.0; > glob_warned2 := false; > glob_warned := false; > glob_optimal_clock_start_sec := 0.0; > glob_log10_abserr := 0.1e-10; > glob_hmin := 0.00000000001; > glob_optimal_done := false; > glob_clock_start_sec := 0.0; > glob_clock_sec := 0.0; > djd_debug := true; > glob_max_opt_iter := 10; > glob_not_yet_start_msg := true; > glob_almost_1 := 0.9990; > min_in_hour := 60.0; > glob_percent_done := 0.0; > glob_max_minutes := 0.0; > glob_max_hours := 0.0; > 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/arctanpostode.ode#################"); > omniout_str(ALWAYS,"diff ( y , x , 1 ) = arctan ( x ) ;"); > 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 := -1.0;"); > omniout_str(ALWAYS,"x_end := 5.00 ;"); > omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);"); > omniout_str(ALWAYS,"glob_h := 0.00001 ;"); > omniout_str(ALWAYS,"glob_look_poles := true;"); > 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,"2.0 + x * arctan(x) - log(x * x + 1.0)/2.0"); > omniout_str(ALWAYS,"end;"); > 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_m1:= 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_type_pole:= Array(0..(max_terms + 1),[]); > array_tmp1_a1:= Array(0..(max_terms + 1),[]); > array_tmp1_a2:= Array(0..(max_terms + 1),[]); > array_fact_1:= Array(0..(max_terms + 1),[]); > array_norms:= Array(0..(max_terms + 1),[]); > array_y:= Array(0..(max_terms + 1),[]); > array_x:= Array(0..(max_terms + 1),[]); > array_last_rel_error:= Array(0..(max_terms + 1),[]); > array_pole:= Array(0..(max_terms + 1),[]); > array_y_init:= Array(0..(max_terms + 1),[]); > array_1st_rel_error:= Array(0..(max_terms + 1),[]); > array_y_set_initial := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_poles := Array(0..(1+ 1) ,(0..3+ 1),[]); > array_complex_pole := Array(0..(1+ 1) ,(0..3+ 1),[]); > array_real_pole := Array(0..(1+ 1) ,(0..3+ 1),[]); > array_fact_2 := Array(0..(max_terms+ 1) ,(0..max_terms+ 1),[]); > array_y_higher := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > term := 1; > while term <= max_terms do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp0[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp2[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_type_pole[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp1_a1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp1_a2[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_norms[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_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_pole[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_y_init[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_1st_rel_error[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y_set_initial[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=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_poles[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=1 do # do number 2 > term := 1; > while term <= 3 do # do number 3 > array_complex_pole[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=1 do # do number 2 > term := 1; > while term <= 3 do # do number 3 > array_real_pole[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=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_higher[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y_higher_work[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > #BEGIN ARRAYS DEFINED AND INITIALIZATED > 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_tmp1_a2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp1_a2[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp1_a1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp1_a1[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_1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_const_1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_1[1] := 1; > array_const_0D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_const_0D0[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_0D0[1] := 0.0; > array_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 > temp1 := iiif !; > temp2 := jjjf !; > array_fact_1[iiif] := temp1; > array_fact_2[iiif,jjjf] := temp1/temp2; > 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 := -1.0; > x_end := 5.00 ; > array_y_init[0 + 1] := exact_soln_y(x_start); > glob_h := 0.00001 ; > glob_look_poles := true; > 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 ) = arctan ( x ) ;"); > 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,"2012-06-16T20:46:55-05:00") > ; > logitem_str(html_log_file,"Maple") > ; > logitem_str(html_log_file,"arctan") > ; > logitem_str(html_log_file,"diff ( y , x , 1 ) = arctan ( x ) ;") > ; > 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," 091 ") > ; > logitem_str(html_log_file,"arctan diffeq.mxt") > ; > logitem_str(html_log_file,"arctan maple results") > ; > logitem_str(html_log_file,"Test of revised logic - mostly for speeding 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, `iiif` is implicitly declared local to procedure `mainprog` Warning, `jjjf` is implicitly declared local to procedure `mainprog` Warning, `temp1` is implicitly declared local to procedure `mainprog` Warning, `temp2` 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, rows, r_order, sub_iter, calc_term, iii, temp_sum, current_iter, x_start, x_end, it, log10norm, max_terms, opt_iter, tmp, iiif, jjjf, temp1, temp2; global DEBUGMASSIVE, DEBUGL, ALWAYS, INFO, glob_max_terms, glob_iolevel, glob_smallish_float, glob_max_rel_trunc_err, glob_max_iter, glob_hmax, days_in_year, glob_log10abserr, glob_curr_iter_when_opt, glob_small_float, glob_last_good_h, glob_iter, glob_start, glob_not_yet_finished, years_in_century, glob_html_log, glob_orig_start_sec, glob_abserr, glob_reached_optimal_h, hours_in_day, glob_log10normmin, glob_normmax, glob_max_sec, glob_hmin_init, glob_h, glob_initial_pass, sec_in_min, djd_debug2, glob_dump, glob_unchanged_h_cnt, glob_max_trunc_err, glob_large_float, glob_optimal_expect_sec, glob_log10relerr, glob_relerr, glob_dump_analytic, glob_disp_incr, glob_subiter_method, MAX_UNCHANGED, glob_current_iter, glob_optimal_start, glob_no_eqs, glob_log10_relerr, glob_look_poles, centuries_in_millinium, glob_warned2, glob_warned, glob_optimal_clock_start_sec, glob_log10_abserr, glob_hmin, glob_optimal_done, glob_clock_start_sec, glob_clock_sec, djd_debug, glob_max_opt_iter, glob_not_yet_start_msg, glob_almost_1, min_in_hour, glob_percent_done, glob_max_minutes, glob_max_hours, glob_display_flag, array_const_1, array_const_0D0, array_m1, array_tmp0, array_tmp1, array_tmp2, array_type_pole, array_tmp1_a1, array_tmp1_a2, array_fact_1, array_norms, array_y, array_x, array_last_rel_error, array_pole, array_y_init, array_1st_rel_error, array_y_set_initial, array_y_higher_work2, array_poles, array_complex_pole, array_real_pole, array_fact_2, array_y_higher, array_y_higher_work, glob_last; glob_last; ALWAYS := 1; INFO := 2; DEBUGL := 3; DEBUGMASSIVE := 4; glob_iolevel := INFO; DEBUGMASSIVE := 4; DEBUGL := 3; ALWAYS := 1; INFO := 2; glob_max_terms := 30; glob_iolevel := 5; glob_smallish_float := 0.1*10^(-100); glob_max_rel_trunc_err := 0.1*10^(-10); glob_max_iter := 1000; glob_hmax := 1.0; days_in_year := 365.0; glob_log10abserr := 0.; glob_curr_iter_when_opt := 0; glob_small_float := 0.1*10^(-50); glob_last_good_h := 0.1; glob_iter := 0; glob_start := 0; glob_not_yet_finished := true; years_in_century := 100.0; glob_html_log := true; glob_orig_start_sec := 0.; glob_abserr := 0.1*10^(-10); glob_reached_optimal_h := false; hours_in_day := 24.0; glob_log10normmin := 0.1; glob_normmax := 0.; glob_max_sec := 10000.0; glob_hmin_init := 0.001; glob_h := 0.1; glob_initial_pass := true; sec_in_min := 60.0; djd_debug2 := true; glob_dump := false; glob_unchanged_h_cnt := 0; glob_max_trunc_err := 0.1*10^(-10); glob_large_float := 0.90*10^101; glob_optimal_expect_sec := 0.1; glob_log10relerr := 0.; glob_relerr := 0.1*10^(-10); glob_dump_analytic := false; glob_disp_incr := 0.1; glob_subiter_method := 3; MAX_UNCHANGED := 10; glob_current_iter := 0; glob_optimal_start := 0.; glob_no_eqs := 0; glob_log10_relerr := 0.1*10^(-10); glob_look_poles := false; centuries_in_millinium := 10.0; glob_warned2 := false; glob_warned := false; glob_optimal_clock_start_sec := 0.; glob_log10_abserr := 0.1*10^(-10); glob_hmin := 0.1*10^(-10); glob_optimal_done := false; glob_clock_start_sec := 0.; glob_clock_sec := 0.; djd_debug := true; glob_max_opt_iter := 10; glob_not_yet_start_msg := true; glob_almost_1 := 0.9990; min_in_hour := 60.0; glob_percent_done := 0.; glob_max_minutes := 0.; glob_max_hours := 0.; 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/arctanpostode.ode#################"); omniout_str(ALWAYS, "diff ( y , x , 1 ) = arctan ( x ) ;"); 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 := -1.0;"); omniout_str(ALWAYS, "x_end := 5.00 ;"); omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);"); omniout_str(ALWAYS, "glob_h := 0.00001 ;"); omniout_str(ALWAYS, "glob_look_poles := true;"); 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, "2.0 +\tx * arctan(x) - log(x * x + 1.0)/2.0"); omniout_str(ALWAYS, "end;"); 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_m1 := 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_type_pole := Array(0 .. max_terms + 1, []); array_tmp1_a1 := Array(0 .. max_terms + 1, []); array_tmp1_a2 := Array(0 .. max_terms + 1, []); array_fact_1 := Array(0 .. max_terms + 1, []); array_norms := Array(0 .. max_terms + 1, []); array_y := Array(0 .. max_terms + 1, []); array_x := Array(0 .. max_terms + 1, []); array_last_rel_error := Array(0 .. max_terms + 1, []); array_pole := Array(0 .. max_terms + 1, []); array_y_init := Array(0 .. max_terms + 1, []); array_1st_rel_error := Array(0 .. max_terms + 1, []); array_y_set_initial := Array(0 .. 3, 0 .. max_terms + 1, []); array_y_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []); array_poles := Array(0 .. 2, 0 .. 4, []); array_complex_pole := Array(0 .. 2, 0 .. 4, []); array_real_pole := Array(0 .. 2, 0 .. 4, []); array_fact_2 := Array(0 .. max_terms + 1, 0 .. max_terms + 1, []); array_y_higher := Array(0 .. 3, 0 .. max_terms + 1, []); array_y_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []); term := 1; while term <= max_terms do array_m1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp0[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp2[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_type_pole[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp1_a1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp1_a2[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_norms[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_last_rel_error[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_pole[term] := 0.; term := term + 1 end do; 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_1st_rel_error[term] := 0.; term := term + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_set_initial[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 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_poles[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 1 do term := 1; while term <= 3 do array_complex_pole[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 1 do term := 1; while term <= 3 do array_real_pole[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 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_higher[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_higher_work[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; 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_tmp1_a2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp1_a2[term] := 0.; term := term + 1 end do; array_tmp1_a1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp1_a1[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_1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_1[term] := 0.; term := term + 1 end do; array_const_1[1] := 1; array_const_0D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_0D0[term] := 0.; term := term + 1 end do; array_const_0D0[1] := 0.; array_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 temp1 := iiif!; temp2 := jjjf!; array_fact_1[iiif] := temp1; array_fact_2[iiif, jjjf] := temp1/temp2; jjjf := jjjf + 1 end do; iiif := iiif + 1 end do; x_start := -1.0; x_end := 5.00; array_y_init[1] := exact_soln_y(x_start); glob_h := 0.00001; glob_look_poles := true; 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 ) = arctan ( x ) ;"); 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, "2012-06-16T20:46:55-05:00"); logitem_str(html_log_file, "Maple"); logitem_str(html_log_file, "arctan") ; logitem_str(html_log_file, "diff ( y , x , 1 ) = arctan ( x ) ;"); 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, " 091 "); logitem_str(html_log_file, "arctan diffeq.mxt"); logitem_str(html_log_file, "arctan maple results"); logitem_str(html_log_file, "Test of revised logic - mostly for speeding 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/arctanpostode.ode################# diff ( y , x , 1 ) = arctan ( x ) ; ! #BEGIN FIRST INPUT BLOCK Digits := 32; max_terms := 30; ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start := -1.0; x_end := 5.00 ; array_y_init[0 + 1] := exact_soln_y(x_start); glob_h := 0.00001 ; glob_look_poles := true; 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) 2.0 + x * arctan(x) - log(x * x + 1.0)/2.0 end; #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = -1 y[1] (analytic) = 2.4388245731174756549070447850908 y[1] (numeric) = 2.4388245731174756549070447850908 absolute error = 0 relative error = 0 % h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.999 y[1] (analytic) = 2.4380394250374323732599261469384 y[1] (numeric) = 2.4380394250374323731139498861498 absolute error = 1.459762607886e-19 relative error = 5.9874446364360476810155697372296e-18 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.411 Order of pole = 0.9049 x[1] = -0.998 y[1] (analytic) = 2.4372547774576807580207655586376 y[1] (numeric) = 2.4372547774576807577280823480781 absolute error = 2.926832105595e-19 relative error = 1.2008724457801662926965648132581e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=3.8MB, alloc=2.9MB, time=0.33 Complex estimate of poles used Radius of convergence = 1.41 Order of pole = 0.905 x[1] = -0.997 y[1] (analytic) = 2.4364706308789708069341815514578 y[1] (numeric) = 2.436470630878970806494058514695 absolute error = 4.401230367628e-19 relative error = 1.8063958218286550028492373277107e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.409 Order of pole = 0.9051 x[1] = -0.996 y[1] (analytic) = 2.4356869858025525112197470944537 y[1] (numeric) = 2.43568698580255251063144916771 absolute error = 5.882979267437e-19 relative error = 2.4153264773874766466172725070995e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.409 Order of pole = 0.9051 x[1] = -0.995 y[1] (analytic) = 2.4349038427301758480218489712456 y[1] (numeric) = 2.4349038427301758472846389035651 absolute error = 7.372100676805e-19 relative error = 3.0276763079641417249431659690994e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=7.6MB, alloc=4.0MB, time=0.70 Complex estimate of poles used Radius of convergence = 1.408 Order of pole = 0.9052 x[1] = -0.994 y[1] (analytic) = 2.434121202164090769814333412543 y[1] (numeric) = 2.434121202164090768927471766022 absolute error = 8.868616465210e-19 relative error = 3.6434572186977492586658370494814e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.407 Order of pole = 0.9053 x[1] = -0.993 y[1] (analytic) = 2.4333390646070471907447804947943 y[1] (numeric) = 2.4333390646070471897075256448751 absolute error = 1.0372548499192e-18 relative error = 4.2626811240820779420097993787839e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.406 Order of pole = 0.9053 x[1] = -0.992 y[1] (analytic) = 2.4325574305622949699032048259806 y[1] (numeric) = 2.4325574305622949687148129618095 absolute error = 1.1883918641711e-18 relative error = 4.8853599476843540237611178828462e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.406 Order of pole = 0.9054 x[1] = -0.991 y[1] (analytic) = 2.4317763005335838914999350559999 y[1] (numeric) = 2.4317763005335838901596601808496 absolute error = 1.3402748751503e-18 relative error = 5.5115056218625658051946647389857e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.405 Order of pole = 0.9055 memory used=11.4MB, alloc=4.1MB, time=1.08 x[1] = -0.99 y[1] (analytic) = 2.4309956750251636419373797726203 y[1] (numeric) = 2.4309956750251636404444737043784 absolute error = 1.4929060682419e-18 relative error = 6.1411300874751522548010726293089e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.404 Order of pole = 0.9055 x[1] = -0.989 y[1] (analytic) = 2.4302155545417837837603423759564 y[1] (numeric) = 2.4302155545417837821140547476786 absolute error = 1.6462876282778e-18 relative error = 6.7742452935958057623043971840703e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.404 Order of pole = 0.9056 x[1] = -0.988 y[1] (analytic) = 2.429435939588693726469502566163 y[1] (numeric) = 2.4294359395886937246690808266941 absolute error = 1.8004217394689e-18 relative error = 7.4108631972148788270954613848179e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.403 Order of pole = 0.9057 x[1] = -0.987 y[1] (analytic) = 2.4286568306716426941826371319289 y[1] (numeric) = 2.4286568306716426922273265465895 absolute error = 1.9553105853394e-18 relative error = 8.0509957629487767174253628274799e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.402 Order of pole = 0.9057 x[1] = -0.986 y[1] (analytic) = 2.4278782282968796901281077927151 y[1] (numeric) = 2.427878228296879688017151444057 absolute error = 2.1109563486581e-18 relative error = 8.6946549627363492008265655248634e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=15.2MB, alloc=4.2MB, time=1.46 Complex estimate of poles used Radius of convergence = 1.402 Order of pole = 0.9058 x[1] = -0.985 y[1] (analytic) = 2.4271001329711534579550989269343 y[1] (numeric) = 2.4271001329711534556877377155631 absolute error = 2.2673612113712e-18 relative error = 9.3418527755407939524293674040624e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.401 Order of pole = 0.9059 x[1] = -0.984 y[1] (analytic) = 2.4263225452017124398450431127621 y[1] (numeric) = 2.4263225452017124374205157582293 absolute error = 2.4245273545328e-18 relative error = 9.9926011870414236431057027627088e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.4 Order of pole = 0.906 x[1] = -0.983 y[1] (analytic) = 2.425545465496304731408627519437 y[1] (numeric) = 2.4255454654963047288261705612013 absolute error = 2.5824569582357e-18 relative error = 1.0646912189325994392583080261534e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.4 Order of pole = 0.906 x[1] = -0.982 y[1] (analytic) = 2.4247688943631780333527293161353 y[1] (numeric) = 2.4247688943631780306115771145933 absolute error = 2.7411522015420e-18 relative error = 1.1304797780581536021056404463081e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=19.0MB, alloc=4.3MB, time=1.85 Complex estimate of poles used Radius of convergence = 1.399 Order of pole = 0.9061 x[1] = -0.981 y[1] (analytic) = 2.4239928323110795999015834142315 y[1] (numeric) = 2.4239928323110795970009681518197 absolute error = 2.9006152624118e-18 relative error = 1.1966269964776668748434211224071e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.398 Order of pole = 0.9062 x[1] = -0.98 y[1] (analytic) = 2.4232172798492561839564410284203 y[1] (numeric) = 2.4232172798492561808955927107881 absolute error = 3.0608483176322e-18 relative error = 1.2631340751344467346570003145203e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.397 Order of pole = 0.9062 x[1] = -0.979 y[1] (analytic) = 2.4224422374874539789779327342107 y[1] (numeric) = 2.4224422374874539757560791914646 absolute error = 3.2218535427461e-18 relative error = 1.3300022154863811219172106988822e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.397 Order of pole = 0.9063 x[1] = -0.978 y[1] (analytic) = 2.4216677057359185575753049151848 y[1] (numeric) = 2.4216677057359185541916718032054 absolute error = 3.3836331119794e-18 relative error = 1.3972326194733437162800219936495e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=22.8MB, alloc=4.3MB, time=2.23 Complex estimate of poles used Radius of convergence = 1.396 Order of pole = 0.9064 x[1] = -0.977 y[1] (analytic) = 2.4208936851053948067866537346134 y[1] (numeric) = 2.4208936851053948032404645364451 absolute error = 3.5461891981683e-18 relative error = 1.4648264894845701971273478106358e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.395 Order of pole = 0.9065 x[1] = -0.976 y[1] (analytic) = 2.4201201761071268600342360340129 y[1] (numeric) = 2.4201201761071268563247120613276 absolute error = 3.7095239726853e-18 relative error = 1.5327850283254270728446707760363e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.395 Order of pole = 0.9065 x[1] = -0.975 y[1] (analytic) = 2.4193471792528580257388918575294 y[1] (numeric) = 2.4193471792528580218652522521637 absolute error = 3.8736396053657e-18 relative error = 1.6011094391843158563957180425608e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.394 Order of pole = 0.9066 x[1] = -0.974 y[1] (analytic) = 2.4185746950548307125775686271346 y[1] (numeric) = 2.4185746950548307085390303627025 absolute error = 4.0385382644321e-18 relative error = 1.6698009255986793599470537569022e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=26.7MB, alloc=4.3MB, time=2.61 Complex estimate of poles used Radius of convergence = 1.393 Order of pole = 0.9067 x[1] = -0.973 y[1] (analytic) = 2.4178027240257863513678923510624 y[1] (numeric) = 2.4178027240257863471636702346426 absolute error = 4.2042221164198e-18 relative error = 1.7388606914213076745756838362663e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.393 Order of pole = 0.9068 x[1] = -0.972 y[1] (analytic) = 2.4170312666789653135636866382162 y[1] (numeric) = 2.4170312666789653091929933121162 absolute error = 4.3706933261000e-18 relative error = 1.8082899407856620806081052167432e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.392 Order of pole = 0.9068 x[1] = -0.971 y[1] (analytic) = 2.4162603235281068263452957160043 y[1] (numeric) = 2.4162603235281068218073416596004 absolute error = 4.5379540564039e-18 relative error = 1.8780898780714978097583229244846e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.391 Order of pole = 0.9069 x[1] = -0.97 y[1] (analytic) = 2.4154898950874488842885231097581 y[1] (numeric) = 2.4154898950874488795825166414132 absolute error = 4.7060064683449e-18 relative error = 1.9482617078696272862465229024461e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=30.5MB, alloc=4.3MB, time=3.00 Complex estimate of poles used Radius of convergence = 1.39 Order of pole = 0.907 x[1] = -0.969 y[1] (analytic) = 2.4147199818717281575959531401439 y[1] (numeric) = 2.4147199818717281527211004192031 absolute error = 4.8748527209408e-18 relative error = 2.0188066349466089134810976101380e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.39 Order of pole = 0.907 x[1] = -0.968 y[1] (analytic) = 2.4139505843961798968743779323708 y[1] (numeric) = 2.4139505843961798918298829612351 absolute error = 5.0444949711357e-18 relative error = 2.0897258642092371111362667972087e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.389 Order of pole = 0.9071 x[1] = -0.967 y[1] (analytic) = 2.4131817031765378344420082091245 y[1] (numeric) = 2.4131817031765378292270728354045 absolute error = 5.2149353737200e-18 relative error = 2.1610206006681702836421155393619e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.388 Order of pole = 0.9072 x[1] = -0.966 y[1] (analytic) = 2.4124133387290340821491017596442 y[1] (numeric) = 2.4124133387290340767629256783926 absolute error = 5.3861760812516e-18 relative error = 2.2326920494019799690904505233432e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.388 Order of pole = 0.9072 memory used=34.3MB, alloc=4.3MB, time=3.38 x[1] = -0.965 y[1] (analytic) = 2.4116454915703990256955991418109 y[1] (numeric) = 2.411645491570399020137379897836 absolute error = 5.5582192439749e-18 relative error = 2.3047414155202124366076551205818e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.387 Order of pole = 0.9073 x[1] = -0.964 y[1] (analytic) = 2.410878162217861215429311884195 y[1] (numeric) = 2.4108781622178612096982448744549 absolute error = 5.7310670097401e-18 relative error = 2.3771699041264976522712475493357e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.386 Order of pole = 0.9074 x[1] = -0.963 y[1] (analytic) = 2.410111351189147253608164212347 y[1] (numeric) = 2.4101113511891472477034426884262 absolute error = 5.9047215239208e-18 relative error = 2.4499787202808760405943698365667e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.386 Order of pole = 0.9075 x[1] = -0.962 y[1] (analytic) = 2.409345059002481678109945129892 y[1] (numeric) = 2.4093450590024816720307602005593 absolute error = 6.0791849293327e-18 relative error = 2.5231690689625036006741054855948e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.385 Order of pole = 0.9075 x[1] = -0.961 y[1] (analytic) = 2.4085792861765868425729835418654 y[1] (numeric) = 2.4085792861765868363185241757157 absolute error = 6.2544593661497e-18 relative error = 2.5967421550312002068205428495522e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=38.1MB, alloc=4.3MB, time=3.76 Complex estimate of poles used Radius of convergence = 1.384 Order of pole = 0.9076 x[1] = -0.96 y[1] (analytic) = 2.4078140332306827929511150169182 y[1] (numeric) = 2.4078140332306827865205680450977 absolute error = 6.4305469718205e-18 relative error = 2.6706991831891261567747789662096e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.384 Order of pole = 0.9077 x[1] = -0.959 y[1] (analytic) = 2.407049300684487140466264748205 y[1] (numeric) = 2.4070493006844871338588148672203 absolute error = 6.6074498809847e-18 relative error = 2.7450413579421719739768231596134e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.383 Order of pole = 0.9077 x[1] = -0.958 y[1] (analytic) = 2.4062850890582149309419272916848 y[1] (numeric) = 2.4062850890582149241567570662973 absolute error = 6.7851702253875e-18 relative error = 2.8197698835606869735111375439722e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.382 Order of pole = 0.9078 x[1] = -0.957 y[1] (analytic) = 2.4055213988725785105007797369348 y[1] (numeric) = 2.405521398872578503537069603141 absolute error = 6.9637101337938e-18 relative error = 2.8948859640398778599551121369199e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=41.9MB, alloc=4.3MB, time=4.18 Complex estimate of poles used Radius of convergence = 1.382 Order of pole = 0.9079 x[1] = -0.956 y[1] (analytic) = 2.4047582306487873876096211011496 y[1] (numeric) = 2.404758230648787380466549369247 absolute error = 7.1430717319026e-18 relative error = 2.9703908030602510551353410700952e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.381 Order of pole = 0.9079 x[1] = -0.955 y[1] (analytic) = 2.4039955849085480914547869335263 y[1] (numeric) = 2.4039955849085480841315297912667 absolute error = 7.3232571422596e-18 relative error = 3.0462856039472254823025312740520e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.38 Order of pole = 0.908 x[1] = -0.954 y[1] (analytic) = 2.403233462174064026631144376501 y[1] (numeric) = 2.4032334621740640191268758923313 absolute error = 7.5042684841697e-18 relative error = 3.1225715696306215210089985001951e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.379 Order of pole = 0.908 x[1] = -0.953 y[1] (analytic) = 2.4024718629680353241277292540793 y[1] (numeric) = 2.4024718629680353164416213804705 absolute error = 7.6861078736088e-18 relative error = 3.1992499026037762949530632908694e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=45.7MB, alloc=4.4MB, time=4.60 Complex estimate of poles used Radius of convergence = 1.379 Order of pole = 0.9081 x[1] = -0.952 y[1] (analytic) = 2.4017107878136586885930431476011 y[1] (numeric) = 2.4017107878136586807242657244664 absolute error = 7.8687774231347e-18 relative error = 3.2763218048822013709141723741897e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.378 Order of pole = 0.9082 x[1] = -0.951 y[1] (analytic) = 2.4009502372346272418629848775055 y[1] (numeric) = 2.4009502372346272338107056357078 absolute error = 8.0522792417977e-18 relative error = 3.3537884779620319384503388208683e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.377 Order of pole = 0.9082 x[1] = -0.95 y[1] (analytic) = 2.4001902117551303627343473378442 y[1] (numeric) = 2.4001902117551303544977319027941 absolute error = 8.2366154350501e-18 relative error = 3.4316511227779338872068120736617e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.377 Order of pole = 0.9083 x[1] = -0.949 y[1] (analytic) = 2.3994307118998535229667672302727 y[1] (numeric) = 2.3994307118998535145449791256176 absolute error = 8.4217881046551e-18 relative error = 3.5099109396606761509633541583084e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=49.5MB, alloc=4.4MB, time=5.01 Complex estimate of poles used Radius of convergence = 1.376 Order of pole = 0.9083 x[1] = -0.948 y[1] (analytic) = 2.3986717381939781194959719178845 y[1] (numeric) = 2.3986717381939781108881725692885 absolute error = 8.6077993485960e-18 relative error = 3.5885691282947429752941402968423e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.375 Order of pole = 0.9084 x[1] = -0.947 y[1] (analytic) = 2.3979132911631813028411243684018 y[1] (numeric) = 2.3979132911631812940464731074195 absolute error = 8.7946512609823e-18 relative error = 3.6676268876745684905310138722603e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.375 Order of pole = 0.9084 x[1] = -0.946 y[1] (analytic) = 2.3971553713336358016890239828056 y[1] (numeric) = 2.3971553713336357927066780508471 absolute error = 8.9823459319585e-18 relative error = 3.7470854160618102685405650947511e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.374 Order of pole = 0.9085 x[1] = -0.945 y[1] (analytic) = 2.3963979792320097436378780113342 y[1] (numeric) = 2.3963979792320097344669925637254 absolute error = 9.1708854476088e-18 relative error = 3.8269459109408267700289999475599e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.373 Order of pole = 0.9086 x[1] = -0.944 memory used=53.4MB, alloc=4.4MB, time=5.39 y[1] (analytic) = 2.3956411153854664720833152458647 y[1] (numeric) = 2.3956411153854664627230433560011 absolute error = 9.3602718898636e-18 relative error = 3.9072095689748177125258205604079e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.373 Order of pole = 0.9086 x[1] = -0.943 y[1] (analytic) = 2.3948847803216643592292707478886 y[1] (numeric) = 2.3948847803216643496787634114841 absolute error = 9.5505073364045e-18 relative error = 3.9878775859612510926838839786740e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.372 Order of pole = 0.9087 x[1] = -0.942 y[1] (analytic) = 2.3941289745687566152063275265824 y[1] (numeric) = 2.3941289745687566054647336660147 absolute error = 9.7415938605677e-18 relative error = 4.0689511567865337202281484839235e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.371 Order of pole = 0.9087 x[1] = -0.941 y[1] (analytic) = 2.3933736986553910932800583237888 y[1] (numeric) = 2.3933736986553910833465247925407 absolute error = 9.9335335312481e-18 relative error = 4.1504314753808847855760786617781e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.371 Order of pole = 0.9088 x[1] = -0.94 y[1] (analytic) = 2.3926189531107100911318679940319 y[1] (numeric) = 2.3926189531107100810055395812297 absolute error = 1.01263284128022e-17 relative error = 4.2323197346726190112543135825200e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=57.2MB, alloc=4.4MB, time=5.77 Complex estimate of poles used Radius of convergence = 1.37 Order of pole = 0.9088 x[1] = -0.939 y[1] (analytic) = 2.3918647384643501481947943899815 y[1] (numeric) = 2.3918647384643501378748138250318 absolute error = 1.03199805649497e-17 relative error = 4.3146171265417964859376253166706e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.369 Order of pole = 0.9088 x[1] = -0.938 y[1] (analytic) = 2.3911110552464418390266831790515 y[1] (numeric) = 2.391111055246441828512191136376 absolute error = 1.05144920426755e-17 relative error = 4.3973248417739489641544522025059e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.369 Order of pole = 0.9089 x[1] = -0.937 y[1] (analytic) = 2.3903579039876095627031096270669 y[1] (numeric) = 2.390357903987609551993244730937 absolute error = 1.07098648961299e-17 relative error = 4.4804440700129626535255951837553e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.368 Order of pole = 0.9089 x[1] = -0.936 y[1] (analytic) = 2.3896052852189713282123780922052 y[1] (numeric) = 2.3896052852189713173062769216765 absolute error = 1.09061011705287e-17 relative error = 4.5639759997138272622347531796392e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=61.0MB, alloc=4.4MB, time=6.15 Complex estimate of poles used Radius of convergence = 1.367 Order of pole = 0.909 x[1] = -0.935 y[1] (analytic) = 2.388853199472138535834887778736 y[1] (numeric) = 2.3888531994721385247316848726832 absolute error = 1.11032029060528e-17 relative error = 4.6479218180950837900900069189210e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.367 Order of pole = 0.909 x[1] = -0.934 y[1] (analytic) = 2.3881016472792157544891112075101 y[1] (numeric) = 2.3881016472792157431879390697639 absolute error = 1.13011721377462e-17 relative error = 4.7322827110905100064055550543391e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.366 Order of pole = 0.909 x[1] = -0.933 y[1] (analytic) = 2.3873506291728004950263898707557 y[1] (numeric) = 2.3873506291728004835263789753417 absolute error = 1.15000108954140e-17 relative error = 4.8170598633007123609449003910691e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.365 Order of pole = 0.9091 x[1] = -0.932 y[1] (analytic) = 2.3866001456859829794567096546043 y[1] (numeric) = 2.3866001456859829677569884510842 absolute error = 1.16997212035201e-17 relative error = 4.9022544579444986503527995297676e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=64.8MB, alloc=4.4MB, time=6.54 Complex estimate of poles used Radius of convergence = 1.364 Order of pole = 0.9091 x[1] = -0.931 y[1] (analytic) = 2.385850197352345906087576835994 y[1] (numeric) = 2.3858501973523458941872717549112 absolute error = 1.19003050810828e-17 relative error = 4.9878676768092767410114552669846e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.364 Order of pole = 0.9091 x[1] = -0.93 y[1] (analytic) = 2.3851007847059642105580737932994 y[1] (numeric) = 2.3851007847059641984563092517286 absolute error = 1.21017645415708e-17 relative error = 5.0739007002015256130711884077715e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.363 Order of pole = 0.9092 x[1] = -0.929 y[1] (analytic) = 2.3843519082814048227501320143373 y[1] (numeric) = 2.3843519082814048104460304215391 absolute error = 1.23041015927982e-17 relative error = 5.1603547068967519614885262443902e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.362 Order of pole = 0.9092 x[1] = -0.928 y[1] (analytic) = 2.3836035686137264195590185434439 y[1] (numeric) = 2.3836035686137264070517003066253 absolute error = 1.25073182368186e-17 relative error = 5.2472308740889734156690250003302e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=68.6MB, alloc=4.4MB, time=6.92 Complex estimate of poles used Radius of convergence = 1.362 Order of pole = 0.9092 x[1] = -0.927 y[1] (analytic) = 2.3828557662384791735049906832714 y[1] (numeric) = 2.3828557662384791607935742134528 absolute error = 1.27114164698186e-17 relative error = 5.3345303773398534792284719687677e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.361 Order of pole = 0.9092 x[1] = -0.926 y[1] (analytic) = 2.3821085016917044971680325589769 y[1] (numeric) = 2.3821085016917044842516342769663 absolute error = 1.29163982820106e-17 relative error = 5.4222543905274456905533944581884e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.36 Order of pole = 0.9093 x[1] = -0.925 y[1] (analytic) = 2.3813617755099347834275460647706 y[1] (numeric) = 2.3813617755099347703052804072456 absolute error = 1.31222656575250e-17 relative error = 5.5104040857945883866856272211239e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.36 Order of pole = 0.9093 x[1] = -0.924 y[1] (analytic) = 2.3806155882301931414888277475496 y[1] (numeric) = 2.3806155882301931281598071732488 absolute error = 1.33290205743008e-17 relative error = 5.5989806334965294946394037353434e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.359 Order of pole = 0.9093 x[1] = -0.923 y[1] (analytic) = 2.3798699403899931286781223417933 y[1] (numeric) = 2.3798699403899931151414573378162 memory used=72.4MB, alloc=4.4MB, time=7.32 absolute error = 1.35366650039771e-17 relative error = 5.6879852021488303916049779882802e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.358 Order of pole = 0.9093 x[1] = -0.922 y[1] (analytic) = 2.3791248325273384779880029562607 y[1] (numeric) = 2.3791248325273384642428020444784 absolute error = 1.37452009117823e-17 relative error = 5.7774189583742046704810794486936e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.358 Order of pole = 0.9093 x[1] = -0.921 y[1] (analytic) = 2.378380265180722821354787328571 y[1] (numeric) = 2.3783802651807228074001570721481 absolute error = 1.39546302564229e-17 relative error = 5.8672830668490885962139714619420e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.357 Order of pole = 0.9094 x[1] = -0.92 y[1] (analytic) = 2.3776362388891294086496591107175 y[1] (numeric) = 2.3776362388891293944847041207448 absolute error = 1.41649549899727e-17 relative error = 5.9575786902502793962521858377893e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.356 Order of pole = 0.9094 x[1] = -0.919 y[1] (analytic) = 2.3768927541920308223651228292455 y[1] (numeric) = 2.3768927541920308079889457714859 absolute error = 1.43761770577596e-17 relative error = 6.0483069892004637896031529808177e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=76.2MB, alloc=4.4MB, time=7.71 Complex estimate of poles used Radius of convergence = 1.356 Order of pole = 0.9094 x[1] = -0.918 y[1] (analytic) = 2.3761498116293886879783809805188 y[1] (numeric) = 2.3761498116293886733900825822663 absolute error = 1.45882983982525e-17 relative error = 6.1394691222136867128223950887628e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.355 Order of pole = 0.9094 x[1] = -0.917 y[1] (analytic) = 2.3754074117416533799731816765044 y[1] (numeric) = 2.3754074117416533651718607335564 absolute error = 1.48013209429480e-17 relative error = 6.2310662456406340891406018320045e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.354 Order of pole = 0.9094 x[1] = -0.916 y[1] (analytic) = 2.3746655550697637235016453521508 y[1] (numeric) = 2.3746655550697637084863987358962 absolute error = 1.50152466162546e-17 relative error = 6.3230995136127609489239974821226e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.354 Order of pole = 0.9094 x[1] = -0.915 y[1] (analytic) = 2.3739242421551466916675392840766 y[1] (numeric) = 2.3739242421551466764374619486982 absolute error = 1.52300773353784e-17 relative error = 6.4155700779869476252810716602239e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=80.1MB, alloc=4.4MB, time=8.09 Complex estimate of poles used Radius of convergence = 1.353 Order of pole = 0.9094 x[1] = -0.914 y[1] (analytic) = 2.3731834735397170984124290542477 y[1] (numeric) = 2.3731834735397170829666140440415 absolute error = 1.54458150102062e-17 relative error = 6.5084790882889578219267802999449e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.352 Order of pole = 0.9094 x[1] = -0.913 y[1] (analytic) = 2.3724432497658772869860966240128 y[1] (numeric) = 2.3724432497658772713236350808242 absolute error = 1.56624615431886e-17 relative error = 6.6018276916567921319175931105629e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.352 Order of pole = 0.9094 x[1] = -0.912 y[1] (analytic) = 2.3717035713765168139825753656461 y[1] (numeric) = 2.3717035713765167981025565364234 absolute error = 1.58800188292227e-17 relative error = 6.6956170327837684092978880311292e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.351 Order of pole = 0.9094 x[1] = -0.911 y[1] (analytic) = 2.3709644389150121289231132328293 y[1] (numeric) = 2.3709644389150121128246244772961 absolute error = 1.60984887555332e-17 relative error = 6.7898482538608225612576335741529e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=83.9MB, alloc=4.4MB, time=8.48 Complex estimate of poles used Radius of convergence = 1.35 Order of pole = 0.9094 x[1] = -0.91 y[1] (analytic) = 2.3702258529252262493673362407107 y[1] (numeric) = 2.3702258529252262330494630391577 absolute error = 1.63178732015530e-17 relative error = 6.8845224945184924401506348797684e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.35 Order of pole = 0.9094 x[1] = -0.909 y[1] (analytic) = 2.3694878139515084315338455727397 y[1] (numeric) = 2.3694878139515084149956715339359 absolute error = 1.65381740388038e-17 relative error = 6.9796408917687954541944640224388e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.349 Order of pole = 0.9094 x[1] = -0.908 y[1] (analytic) = 2.3687503225386938364114429378342 y[1] (numeric) = 2.3687503225386938196520498070593 absolute error = 1.67593931307749e-17 relative error = 7.0752045799462400670157875365858e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.348 Order of pole = 0.9094 x[1] = -0.907 y[1] (analytic) = 2.3680133792321031913421402700778 y[1] (numeric) = 2.3680133792321031743606079372761 absolute error = 1.69815323328017e-17 relative error = 7.1712146906486030392064013941804e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=87.7MB, alloc=4.4MB, time=8.86 Complex estimate of poles used Radius of convergence = 1.348 Order of pole = 0.9093 x[1] = -0.906 y[1] (analytic) = 2.367276984577542447057071496527 y[1] (numeric) = 2.3672769845775424298524780045835 absolute error = 1.72045934919435e-17 relative error = 7.2676723526773032339952519689779e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.347 Order of pole = 0.9093 x[1] = -0.905 y[1] (analytic) = 2.3665411391213024301463858993451 y[1] (numeric) = 2.3665411391213024127178074524851 absolute error = 1.74285784468600e-17 relative error = 7.3645786919771178791491457025290e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.346 Order of pole = 0.9093 x[1] = -0.904 y[1] (analytic) = 2.3658058434101584909441645688785 y[1] (numeric) = 2.3658058434101584732906755411906 absolute error = 1.76534890276879e-17 relative error = 7.4619348315758319267779228209323e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.346 Order of pole = 0.9093 x[1] = -0.903 y[1] (analytic) = 2.3650710979913701468093635869807 y[1] (numeric) = 2.3650710979913701289300365310643 absolute error = 1.78793270559164e-17 relative error = 7.5597418915233132930885573814340e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.345 Order of pole = 0.9093 x[1] = -0.902 y[1] (analytic) = 2.3643369034126807207837498974154 y[1] (numeric) = 2.3643369034126807026776555531542 absolute error = 1.81060943442612e-17 relative error = 7.6580009888298438626396682300043e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=91.5MB, alloc=4.4MB, time=9.25 Complex estimate of poles used Radius of convergence = 1.344 Order of pole = 0.9093 x[1] = -0.901 y[1] (analytic) = 2.3636032602223169756077583150975 y[1] (numeric) = 2.3636032602223169572739656185591 absolute error = 1.83337926965384e-17 relative error = 7.7567132374042972729711046389456e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.344 Order of pole = 0.9092 x[1] = -0.9 y[1] (analytic) = 2.3628701689689887430751608008287 y[1] (numeric) = 2.3628701689689887245127368932907 absolute error = 1.85624239075380e-17 relative error = 7.8558797479920365041586938181498e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.343 Order of pole = 0.9092 x[1] = -0.899 y[1] (analytic) = 2.3621376302018885487074019856517 y[1] (numeric) = 2.3621376302018885299154122227559 absolute error = 1.87919897628958e-17 relative error = 7.9555016281120229738946625442295e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.342 Order of pole = 0.9092 x[1] = -0.898 y[1] (analytic) = 2.3614056444706912317284179715921 y[1] (numeric) = 2.3614056444706912127059259326276 absolute error = 1.90224920389645e-17 relative error = 8.0555799819934745340977530106626e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=95.3MB, alloc=4.4MB, time=9.64 Complex estimate of poles used Radius of convergence = 1.342 Order of pole = 0.9091 x[1] = -0.897 y[1] (analytic) = 2.3606742123255535603207186660059 y[1] (numeric) = 2.3606742123255535410667861633205 absolute error = 1.92539325026854e-17 relative error = 8.1561159105126647721198311390461e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.341 Order of pole = 0.9091 x[1] = -0.896 y[1] (analytic) = 2.3599433343171138421434773276337 y[1] (numeric) = 2.3599433343171138226571644161767 absolute error = 1.94863129114570e-17 relative error = 8.2571105111282964223974091474799e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.34 Order of pole = 0.9091 x[1] = -0.895 y[1] (analytic) = 2.3592130109964915300933346164632 y[1] (numeric) = 2.3592130109964915103736996034581 absolute error = 1.97196350130051e-17 relative error = 8.3585648778173959355706234497637e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.34 Order of pole = 0.909 x[1] = -0.894 y[1] (analytic) = 2.3584832429152868232885882492571 y[1] (numeric) = 2.3584832429152868033346877040065 absolute error = 1.99539005452506e-17 relative error = 8.4604801010101194710333810030448e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=99.1MB, alloc=4.4MB, time=10.03 Complex estimate of poles used Radius of convergence = 1.339 Order of pole = 0.909 x[1] = -0.893 y[1] (analytic) = 2.3577540306255802632574033708385 y[1] (numeric) = 2.3577540306255802430682921346615 absolute error = 2.01891112361770e-17 relative error = 8.5628572675243165617011238283266e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.338 Order of pole = 0.909 x[1] = -0.892 y[1] (analytic) = 2.357025374679932325310642960623 y[1] (numeric) = 2.3570253746799323048853741569254 absolute error = 2.04252688036976e-17 relative error = 8.6656974604998512736604092860109e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.338 Order of pole = 0.9089 x[1] = -0.891 y[1] (analytic) = 2.3562972756313830050798820071776 y[1] (numeric) = 2.356297275631382984417507051657 absolute error = 2.06623749555206e-17 relative error = 8.7690017593319167750776447053618e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.337 Order of pole = 0.9089 x[1] = -0.89 y[1] (analytic) = 2.3555697340334514002011338035112 y[1] (numeric) = 2.355569734033451379300702414496 absolute error = 2.09004313890152e-17 relative error = 8.8727712396046575195004923307211e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=103.0MB, alloc=4.4MB, time=10.43 Complex estimate of poles used Radius of convergence = 1.336 Order of pole = 0.9088 x[1] = -0.889 y[1] (analytic) = 2.3548427504401352871247815451055 y[1] (numeric) = 2.3548427504401352659853417540301 absolute error = 2.11394397910754e-17 relative error = 8.9770069730236986985254316089710e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.336 Order of pole = 0.9088 x[1] = -0.888 y[1] (analytic) = 2.354116325405910693032173454164 y[1] (numeric) = 2.3541163254059106716527716161809 absolute error = 2.13794018379831e-17 relative error = 9.0817100273482606212680796891296e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.335 Order of pole = 0.9087 x[1] = -0.887 y[1] (analytic) = 2.3533904594857314628393049099648 y[1] (numeric) = 2.3533904594857314412189857146927 absolute error = 2.16203191952721e-17 relative error = 9.1868814663235373584181636694287e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.334 Order of pole = 0.9087 x[1] = -0.886 y[1] (analytic) = 2.3526651532350288212679765393574 y[1] (numeric) = 2.3526651532350287994057830217688 absolute error = 2.18621935175886e-17 relative error = 9.2925223496114703687135745704712e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=106.8MB, alloc=4.4MB, time=10.81 Complex estimate of poles used Radius of convergence = 1.334 Order of pole = 0.9086 x[1] = -0.885 y[1] (analytic) = 2.3519404072097109299647829161754 y[1] (numeric) = 2.3519404072097109078597564676217 absolute error = 2.21050264485537e-17 relative error = 9.3986337327222525071029308044209e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.333 Order of pole = 0.9086 x[1] = -0.884 y[1] (analytic) = 2.3512162219661624396482524364616 y[1] (numeric) = 2.3512162219661624172994328158389 absolute error = 2.23488196206227e-17 relative error = 9.5052166669443527438473782170653e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.332 Order of pole = 0.9085 x[1] = -0.883 y[1] (analytic) = 2.3504925980612440372644250807974 y[1] (numeric) = 2.3504925980612440146708504258523 absolute error = 2.25935746549451e-17 relative error = 9.6122721992747180066770931155660e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.332 Order of pole = 0.9085 x[1] = -0.882 y[1] (analytic) = 2.3497695360522919881311211485415 y[1] (numeric) = 2.3497695360522919652918279873182 absolute error = 2.28392931612233e-17 relative error = 9.7198013723483017621351558593432e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.331 Order of pole = 0.9084 x[1] = -0.881 y[1] (analytic) = 2.3490470364971176730511206543166 y[1] (numeric) = 2.3490470364971176499651439167459 absolute error = 2.30859767375707e-17 relative error = 9.8278052243672162619322377505662e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=110.6MB, alloc=4.4MB, time=11.23 Complex estimate of poles used Radius of convergence = 1.33 Order of pole = 0.9084 x[1] = -0.88 y[1] (analytic) = 2.348325099954007120374439917529 y[1] (numeric) = 2.3483250999540070970408129471605 absolute error = 2.33336269703685e-17 relative error = 9.9362847890292099463686284801919e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.33 Order of pole = 0.9083 x[1] = -0.879 y[1] (analytic) = 2.3476037269817205329898589539919 y[1] (numeric) = 2.3476037269817205094076135198696 absolute error = 2.35822454341223e-17 relative error = 1.0045241095455937505935515117584e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.329 Order of pole = 0.9083 x[1] = -0.878 y[1] (analytic) = 2.3468829181394918102258205977748 y[1] (numeric) = 2.3468829181394917863939869064573 absolute error = 2.38318336913175e-17 relative error = 1.0154675168120596452585228150642e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.328 Order of pole = 0.9082 x[1] = -0.877 y[1] (analytic) = 2.346162673987028064640789844182 y[1] (numeric) = 2.3461626739870280405583965519078 absolute error = 2.40823932922742e-17 relative error = 1.0264588026775227595480981885438e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=114.4MB, alloc=4.4MB, time=11.64 Complex estimate of poles used Radius of convergence = 1.328 Order of pole = 0.9081 x[1] = -0.876 y[1] (analytic) = 2.3454429950845091336831297142311 y[1] (numeric) = 2.3454429950845091093492039392302 absolute error = 2.43339257750009e-17 relative error = 1.0374980686377380649242786247757e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.327 Order of pole = 0.9081 x[1] = -0.875 y[1] (analytic) = 2.3447238819925870862005180001517 y[1] (numeric) = 2.344723881992587061614085335104 absolute error = 2.45864326650477e-17 relative error = 1.0485854157016442558237184739786e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.326 Order of pole = 0.908 x[1] = -0.874 y[1] (analytic) = 2.3440053352723857237788975632493 y[1] (numeric) = 2.3440053352723856989389820878907 absolute error = 2.48399154753586e-17 relative error = 1.0597209443839457573420250274254e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.326 Order of pole = 0.9079 x[1] = -0.873 y[1] (analytic) = 2.3432873554855000768909214230044 y[1] (numeric) = 2.3432873554855000517965457168811 absolute error = 2.50943757061233e-17 relative error = 1.0709047546976609103288709903253e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=118.2MB, alloc=4.4MB, time=12.04 Complex estimate of poles used Radius of convergence = 1.325 Order of pole = 0.9079 x[1] = -0.872 y[1] (analytic) = 2.3425699431939958958338227025313 y[1] (numeric) = 2.3425699431939958704840078579044 absolute error = 2.53498148446269e-17 relative error = 1.0821369461465680018406261034997e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.324 Order of pole = 0.9078 x[1] = -0.871 y[1] (analytic) = 2.3418530989604091364366085835676 y[1] (numeric) = 2.3418530989604091108303742184665 absolute error = 2.56062343651011e-17 relative error = 1.0934176177177026882850050366053e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.324 Order of pole = 0.9077 x[1] = -0.87 y[1] (analytic) = 2.3411368233477454405164467770509 y[1] (numeric) = 2.3411368233477454146528110484783 absolute error = 2.58636357285726e-17 relative error = 1.1047468678737232923238195847651e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.323 Order of pole = 0.9077 x[1] = -0.869 y[1] (analytic) = 2.340421116919479611064082636177 y[1] (numeric) = 2.3404211169194795849420622534659 absolute error = 2.61220203827111e-17 relative error = 1.1161247945452462786669532897238e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=122.0MB, alloc=4.4MB, time=12.45 Complex estimate of poles used Radius of convergence = 1.322 Order of pole = 0.9076 x[1] = -0.868 y[1] (analytic) = 2.3397059802395550821380949307022 y[1] (numeric) = 2.3397059802395550557567051690249 absolute error = 2.63813897616773e-17 relative error = 1.1275514951231689842374286312244e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.322 Order of pole = 0.9075 x[1] = -0.867 y[1] (analytic) = 2.3389914138723833834477684672778 y[1] (numeric) = 2.3389914138723833568060231813088 absolute error = 2.66417452859690e-17 relative error = 1.1390270664508983872575589732626e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.321 Order of pole = 0.9074 x[1] = -0.866 y[1] (analytic) = 2.3382774183828435996043321839291 y[1] (numeric) = 2.3382774183828435727012438216615 absolute error = 2.69030883622676e-17 relative error = 1.1505516048165841210212969845993e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.32 Order of pole = 0.9074 x[1] = -0.865 y[1] (analytic) = 2.3375639943362818240202820705503 y[1] (numeric) = 2.3375639943362817968548616872677 absolute error = 2.71654203832826e-17 relative error = 1.1621252059452531146425522556415e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.32 Order of pole = 0.9073 memory used=125.8MB, alloc=4.4MB, time=12.83 x[1] = -0.864 y[1] (analytic) = 2.3368511422985106074364792746662 y[1] (numeric) = 2.3368511422985105800077365470706 absolute error = 2.74287427275956e-17 relative error = 1.1737479649909098839780664474397e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.319 Order of pole = 0.9072 x[1] = -0.863 y[1] (analytic) = 2.3361388628358084010566850458847 y[1] (numeric) = 2.3361388628358083733636282863797 absolute error = 2.76930567595050e-17 relative error = 1.1854199765286538111778274683891e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.318 Order of pole = 0.9071 x[1] = -0.862 y[1] (analytic) = 2.3354271565149189942691657566288 y[1] (numeric) = 2.3354271565149189663108019277622 absolute error = 2.79583638288666e-17 relative error = 1.1971413345466079645162838586493e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.318 Order of pole = 0.9071 x[1] = -0.861 y[1] (analytic) = 2.3347160239030509469349731141368 y[1] (numeric) = 2.3347160239030509187103078431998 absolute error = 2.82246652709370e-17 relative error = 1.2089121324379546411502601118787e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.317 Order of pole = 0.907 x[1] = -0.86 y[1] (analytic) = 2.3340054655678770162224768525455 y[1] (numeric) = 2.3340054655678769877305144463317 absolute error = 2.84919624062138e-17 relative error = 1.2207324629928208378508324345384e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=129.7MB, alloc=4.4MB, time=13.22 Complex estimate of poles used Radius of convergence = 1.316 Order of pole = 0.9069 x[1] = -0.859 y[1] (analytic) = 2.3332954820775335779676996674248 y[1] (numeric) = 2.3332954820775335492074431271488 absolute error = 2.87602565402760e-17 relative error = 1.2326024183901590927139040479227e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.316 Order of pole = 0.9068 x[1] = -0.858 y[1] (analytic) = 2.3325860740006200425399769316399 y[1] (numeric) = 2.3325860740006200135104279680164 absolute error = 2.90295489636235e-17 relative error = 1.2445220901895765769551368139315e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.315 Order of pole = 0.9068 x[1] = -0.857 y[1] (analytic) = 2.3318772419061982651924368141898 y[1] (numeric) = 2.3318772419061982358925958626746 absolute error = 2.92998409515152e-17 relative error = 1.2564915693230909318053988153761e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.314 Order of pole = 0.9067 x[1] = -0.856 y[1] (analytic) = 2.3311689863637919508767698159992 y[1] (numeric) = 2.3311689863637919213056360521922 absolute error = 2.95711337638070e-17 relative error = 1.2685109460868685082165558319626e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=133.5MB, alloc=4.4MB, time=13.61 Complex estimate of poles used Radius of convergence = 1.314 Order of pole = 0.9066 x[1] = -0.855 y[1] (analytic) = 2.3304613079433860535017304418447 y[1] (numeric) = 2.330461307943386023658301797056 absolute error = 2.98434286447887e-17 relative error = 1.2805803101329021100249056605202e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.313 Order of pole = 0.9065 x[1] = -0.854 y[1] (analytic) = 2.3297542072154261696147877490105 y[1] (numeric) = 2.3297542072154261394980609259903 absolute error = 3.01167268230202e-17 relative error = 1.2926997504606453294822921299138e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.312 Order of pole = 0.9064 x[1] = -0.853 y[1] (analytic) = 2.3290476847508179264863158542471 y[1] (numeric) = 2.3290476847508178960952863430804 absolute error = 3.03910295111667e-17 relative error = 1.3048693554085905508822491350705e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.312 Order of pole = 0.9064 x[1] = -0.852 y[1] (analytic) = 2.3283417411209263645756901445133 y[1] (numeric) = 2.32834174112092633390935223868 absolute error = 3.06663379058333e-17 relative error = 1.3170892126458077314059046334956e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=137.3MB, alloc=4.4MB, time=13.99 Complex estimate of poles used Radius of convergence = 1.311 Order of pole = 0.9063 x[1] = -0.851 y[1] (analytic) = 2.3276363768975753143586299272045 y[1] (numeric) = 2.327636376897575283415976739806 absolute error = 3.09426531873985e-17 relative error = 1.3293594091634224444791623044926e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.311 Order of pole = 0.9062 x[1] = -0.85 y[1] (analytic) = 2.3269315926530467674951035755101 y[1] (numeric) = 2.326931592653046736275127055663 absolute error = 3.12199765198471e-17 relative error = 1.3416800312660545942551170407187e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.31 Order of pole = 0.9061 x[1] = -0.849 y[1] (analytic) = 2.3262273889600802423170878776149 y[1] (numeric) = 2.3262273889600802108187788270122 absolute error = 3.14983090506027e-17 relative error = 1.3540511645632263658209506887847e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.309 Order of pole = 0.906 x[1] = -0.848 y[1] (analytic) = 2.3255237663918721436154492881018 y[1] (numeric) = 2.3255237663918721118377973777433 absolute error = 3.17776519103585e-17 relative error = 1.3664728939606834952686613098951e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=141.1MB, alloc=4.4MB, time=14.39 Complex estimate of poles used Radius of convergence = 1.309 Order of pole = 0.906 x[1] = -0.847 y[1] (analytic) = 2.3248207255220751167051911095749 y[1] (numeric) = 2.3248207255220750846471848966671 absolute error = 3.20580062129078e-17 relative error = 1.3789453036516899468306179947218e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.308 Order of pole = 0.9059 x[1] = -0.846 y[1] (analytic) = 2.324118266924797395748287305672 y[1] (numeric) = 2.3241182669247973634089142506979 absolute error = 3.23393730549741e-17 relative error = 1.3914684771082916897071607606374e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.307 Order of pole = 0.9058 x[1] = -0.845 y[1] (analytic) = 2.3234163911746021463133006667534 y[1] (numeric) = 2.323416391174602113691547150714 absolute error = 3.26217535160394e-17 relative error = 1.4040424970724893050373841488904e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.307 Order of pole = 0.9057 x[1] = -0.844 y[1] (analytic) = 2.3227150988465068021509604201505 y[1] (numeric) = 2.3227150988465067692458117619774 absolute error = 3.29051486581731e-17 relative error = 1.4166674455474226098814816565907e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.306 Order of pole = 0.9057 x[1] = -0.843 y[1] (analytic) = 2.3220143905159823961648521014337 y[1] (numeric) = 2.3220143905159823629752925755758 absolute error = 3.31895595258579e-17 relative error = 1.4293434037884123386379312062268e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=144.9MB, alloc=4.4MB, time=14.79 Complex estimate of poles used Radius of convergence = 1.305 Order of pole = 0.9056 x[1] = -0.842 y[1] (analytic) = 2.3213142667589528855563505852716 y[1] (numeric) = 2.3213142667589528520813634394535 absolute error = 3.34749871458181e-17 relative error = 1.4420704522940912598759033473011e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.305 Order of pole = 0.9055 x[1] = -0.841 y[1] (analytic) = 2.3206147281517944711229056176194 y[1] (numeric) = 2.320614728151794437361473090776 absolute error = 3.37614325268434e-17 relative error = 1.4548486707973276361333415741522e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.304 Order of pole = 0.9054 x[1] = -0.84 y[1] (analytic) = 2.3199157752713349106887679988034 y[1] (numeric) = 2.3199157752713348766398713391882 absolute error = 3.40488966596152e-17 relative error = 1.4676781382562423773494040676668e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.303 Order of pole = 0.9054 x[1] = -0.839 y[1] (analytic) = 2.3192174086948528266472237430947 y[1] (numeric) = 2.3192174086948527923098432265646 absolute error = 3.43373805165301e-17 relative error = 1.4805589328450916148413072694608e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=148.7MB, alloc=4.4MB, time=15.17 Complex estimate of poles used Radius of convergence = 1.303 Order of pole = 0.9053 x[1] = -0.838 y[1] (analytic) = 2.3185196290000770075933830882323 y[1] (numeric) = 2.3185196290000769729664980367091 absolute error = 3.46268850515232e-17 relative error = 1.4934911319451266072684993953589e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.302 Order of pole = 0.9052 x[1] = -0.837 y[1] (analytic) = 2.3178224367651857040265511516486 y[1] (numeric) = 2.3178224367651856691091399517581 absolute error = 3.49174111998905e-17 relative error = 1.5064748121354007854111163524440e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.301 Order of pole = 0.9051 x[1] = -0.836 y[1] (analytic) = 2.317125832568805918101187332515 y[1] (numeric) = 2.3171258325688058828922274544037 absolute error = 3.52089598781113e-17 relative error = 1.5195100491835627213404452206594e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.301 Order of pole = 0.9051 x[1] = -0.835 y[1] (analytic) = 2.3164298169900126874054412438035 y[1] (numeric) = 2.3164298169900126519039092601356 absolute error = 3.55015319836679e-17 relative error = 1.5325969180365184897384214834984e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=152.5MB, alloc=4.4MB, time=15.56 Complex estimate of poles used Radius of convergence = 1.3 Order of pole = 0.905 x[1] = -0.834 y[1] (analytic) = 2.315734390608328362746234030029 y[1] (numeric) = 2.3157343906083283269511056351618 absolute error = 3.57951283948672e-17 relative error = 1.5457354928111618441782706840808e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.3 Order of pole = 0.9049 x[1] = -0.833 y[1] (analytic) = 2.3150395540037218799198353878495 y[1] (numeric) = 2.3150395540037218438300854171907 absolute error = 3.60897499706588e-17 relative error = 1.5589258467849391506311769723451e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.299 Order of pole = 0.9049 x[1] = -0.832 y[1] (analytic) = 2.3143453077566080254468684619934 y[1] (numeric) = 2.314345307756607989061470911539 absolute error = 3.63853975504544e-17 relative error = 1.5721680523864561902271200386599e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.298 Order of pole = 0.9048 x[1] = -0.831 y[1] (analytic) = 2.3136516524478466962506570417267 y[1] (numeric) = 2.3136516524478466595685850877816 absolute error = 3.66820719539451e-17 relative error = 1.5854621811859800232906877655330e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=156.4MB, alloc=4.4MB, time=15.94 Complex estimate of poles used Radius of convergence = 1.298 Order of pole = 0.9047 x[1] = -0.83 y[1] (analytic) = 2.3129585886587421532578121370311 y[1] (numeric) = 2.3129585886587421162780381561123 absolute error = 3.69797739809188e-17 relative error = 1.5988083038859308687509071163629e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.297 Order of pole = 0.9047 x[1] = -0.829 y[1] (analytic) = 2.3122661169710422688999380725574 y[1] (numeric) = 2.3122661169710422316214336614813 absolute error = 3.72785044110761e-17 relative error = 1.6122064903112948404736793845032e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.296 Order of pole = 0.9046 x[1] = -0.828 y[1] (analytic) = 2.3115742379669377684953217050247 y[1] (numeric) = 2.3115742379669377309170577011786 absolute error = 3.75782640038461e-17 relative error = 1.6256568094000179983748114747978e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.296 Order of pole = 0.9045 x[1] = -0.827 y[1] (analytic) = 2.3108829522290614654894522498204 y[1] (numeric) = 2.3108829522290614276103987516198 absolute error = 3.78790534982006e-17 relative error = 1.6391593291933168244188385697614e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=160.2MB, alloc=4.4MB, time=16.33 Complex estimate of poles used Radius of convergence = 1.295 Order of pole = 0.9045 x[1] = -0.826 y[1] (analytic) = 2.3101922603404874905332034989204 y[1] (numeric) = 2.3101922603404874523523298864518 absolute error = 3.81808736124686e-17 relative error = 1.6527141168259872525904488502557e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.294 Order of pole = 0.9044 x[1] = -0.825 y[1] (analytic) = 2.3095021628847305143774949286944 y[1] (numeric) = 2.3095021628847304758937698845451 absolute error = 3.84837250441493e-17 relative error = 1.6663212385166343713208585677849e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.294 Order of pole = 0.9044 x[1] = -0.824 y[1] (analytic) = 2.3088126604457449645632333365202 y[1] (numeric) = 2.308812660445744925775624866796 absolute error = 3.87876084697242e-17 relative error = 1.6799807595578486804832285160395e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.293 Order of pole = 0.9043 x[1] = -0.823 y[1] (analytic) = 2.3081237536079242358853222132374 y[1] (numeric) = 2.3081237536079241967927976687684 absolute error = 3.90925245444690e-17 relative error = 1.6936927443063591801236673902271e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.293 Order of pole = 0.9042 x[1] = -0.822 y[1] (analytic) = 2.3074354429560998946095120581847 y[1] (numeric) = 2.3074354429560998552110381559203 absolute error = 3.93984739022644e-17 relative error = 1.7074572561731242998401639463079e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=164.0MB, alloc=4.4MB, time=16.72 Complex estimate of poles used Radius of convergence = 1.292 Order of pole = 0.9042 x[1] = -0.821 y[1] (analytic) = 2.3067477290755408764208512787562 y[1] (numeric) = 2.3067477290755408367153941233501 absolute error = 3.97054571554061e-17 relative error = 1.7212743576133736063451210507161e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.291 Order of pole = 0.9041 x[1] = -0.82 y[1] (analytic) = 2.3060606125519526780824841909721 y[1] (numeric) = 2.3060606125519526380690092965575 absolute error = 4.00134748944146e-17 relative error = 1.7351441101166262673940849917451e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.291 Order of pole = 0.9041 x[1] = -0.819 y[1] (analytic) = 2.305374093971476542783529955382 y[1] (numeric) = 2.3053740939714765024610022675388 absolute error = 4.03225276878432e-17 relative error = 1.7490665741966168834713447728095e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.29 Order of pole = 0.904 x[1] = -0.818 y[1] (analytic) = 2.3046881739206886391547640476386 y[1] (numeric) = 2.3046881739206885985221479655523 absolute error = 4.06326160820863e-17 relative error = 1.7630418093812196760675839757978e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=167.8MB, alloc=4.4MB, time=17.10 Complex estimate of poles used Radius of convergence = 1.289 Order of pole = 0.904 x[1] = -0.817 y[1] (analytic) = 2.3040028529865992339308120792109 y[1] (numeric) = 2.3040028529865991929870714780247 absolute error = 4.09437406011862e-17 relative error = 1.7770698742022929681123906726439e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.289 Order of pole = 0.904 x[1] = -0.816 y[1] (analytic) = 2.3033181317566518582375544549169 y[1] (numeric) = 2.3033181317566518169816527082772 absolute error = 4.12559017466397e-17 relative error = 1.7911508261855002950884209797736e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.288 Order of pole = 0.9039 x[1] = -0.815 y[1] (analytic) = 2.3026340108187224674834294841981 y[1] (numeric) = 2.3026340108187224259143294869941 absolute error = 4.15690999972040e-17 relative error = 1.8052847218400864486601358682051e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.287 Order of pole = 0.9039 x[1] = -0.814 y[1] (analytic) = 2.3019504907611185948333121563175 y[1] (numeric) = 2.3019504907611185529499763476168 absolute error = 4.18833358087007e-17 relative error = 1.8194716166485562944480860771301e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=171.6MB, alloc=4.4MB, time=17.48 Complex estimate of poles used Radius of convergence = 1.287 Order of pole = 0.9038 x[1] = -0.813 y[1] (analytic) = 2.3012675721725784982436358499385 y[1] (numeric) = 2.3012675721725784560450262361175 absolute error = 4.21986096138210e-17 relative error = 1.8337115650563909357910080050899e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.286 Order of pole = 0.9038 x[1] = -0.812 y[1] (analytic) = 2.3005852556422703010374147788307 y[1] (numeric) = 2.3005852556422702585224929569023 absolute error = 4.25149218219284e-17 relative error = 1.8480046204616405385496433985444e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.286 Order of pole = 0.9038 x[1] = -0.811 y[1] (analytic) = 2.2999035417597911259978159817965 y[1] (numeric) = 2.2999035417597910831655431629345 absolute error = 4.28322728188620e-17 relative error = 1.8623508352045284154449581427274e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.285 Order of pole = 0.9037 x[1] = -0.81 y[1] (analytic) = 2.2992224311151662229589211503388 y[1] (numeric) = 2.2992224311151661798082581836011 absolute error = 4.31506629667377e-17 relative error = 1.8767502605569490292844507507759e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=175.4MB, alloc=4.5MB, time=17.86 Complex estimate of poles used Radius of convergence = 1.284 Order of pole = 0.9037 x[1] = -0.809 y[1] (analytic) = 2.2985419242988480898723105561701 y[1] (numeric) = 2.2985419242988480464022179524197 absolute error = 4.34700926037504e-17 relative error = 1.8912029467119946304769837546051e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.284 Order of pole = 0.9037 x[1] = -0.808 y[1] (analytic) = 2.2978620219017155873280937964471 y[1] (numeric) = 2.2978620219017155435375317524734 absolute error = 4.37905620439737e-17 relative error = 1.9057089427733583405575249263520e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.283 Order of pole = 0.9036 x[1] = -0.807 y[1] (analytic) = 2.2971827245150730465090050217115 y[1] (numeric) = 2.297182724515073002396933444551 absolute error = 4.41120715771605e-17 relative error = 1.9202682967447615012975422336959e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.282 Order of pole = 0.9036 x[1] = -0.806 y[1] (analytic) = 2.2965040327306493705561737540008 y[1] (numeric) = 2.2965040327306493261215522854591 absolute error = 4.44346214685417e-17 relative error = 1.9348810555192834839681093315817e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.282 Order of pole = 0.9036 x[1] = -0.805 y[1] (analytic) = 2.2958259471405971293251763446017 y[1] (numeric) = 2.2958259471405970845669643859774 absolute error = 4.47582119586243e-17 relative error = 1.9495472648686504504758602814677e-15 % memory used=179.2MB, alloc=4.5MB, time=18.25 h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.281 Order of pole = 0.9036 x[1] = -0.804 y[1] (analytic) = 2.2951484683374916475109675665663 y[1] (numeric) = 2.295148468337491602428124303576 absolute error = 4.50828432629903e-17 relative error = 1.9642669694325440494051887801050e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.281 Order of pole = 0.9036 x[1] = -0.803 y[1] (analytic) = 2.2944715969143300861202867905411 y[1] (numeric) = 2.2944715969143300407117712184485 absolute error = 4.54085155720926e-17 relative error = 1.9790402127077645426992677216248e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.28 Order of pole = 0.9035 x[1] = -0.802 y[1] (analytic) = 2.293795333464530517270128657847 y[1] (numeric) = 2.2937953334645304715348996067956 absolute error = 4.57352290510514e-17 relative error = 1.9938670370374007182257866549535e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.279 Order of pole = 0.9035 x[1] = -0.801 y[1] (analytic) = 2.2931196785819309922908641462414 y[1] (numeric) = 2.2931196785819309462278803067906 absolute error = 4.60629838394508e-17 relative error = 2.0087474835999935907430991818968e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=183.1MB, alloc=4.5MB, time=18.65 Complex estimate of poles used Radius of convergence = 1.279 Order of pole = 0.9035 x[1] = -0.8 y[1] (analytic) = 2.2924446328607886031125944255953 y[1] (numeric) = 2.2924446328607885567208143744625 absolute error = 4.63917800511328e-17 relative error = 2.0236815923985718094039283590881e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.278 Order of pole = 0.9035 x[1] = -0.799 y[1] (analytic) = 2.2917701968957785369133169270295 y[1] (numeric) = 2.2917701968957784901916991530371 absolute error = 4.67216177739924e-17 relative error = 2.0386694022497200262930722809459e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.277 Order of pole = 0.9035 x[1] = -0.798 y[1] (analytic) = 2.2910963712819931240074806040752 y[1] (numeric) = 2.2910963712819930769549835343048 absolute error = 4.70524970697704e-17 relative error = 2.0537109507725319657377609713320e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.277 Order of pole = 0.9035 x[1] = -0.797 y[1] (analytic) = 2.2904231566149408789535054524045 y[1] (numeric) = 2.2904231566149408315690874785574 absolute error = 4.73844179738471e-17 relative error = 2.0688062743775877418040386018283e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=186.9MB, alloc=4.5MB, time=19.04 Complex estimate of poles used Radius of convergence = 1.276 Order of pole = 0.9035 x[1] = -0.796 y[1] (analytic) = 2.2897505534905455348588399798353 y[1] (numeric) = 2.2897505534905454871414594848012 absolute error = 4.77173804950341e-17 relative error = 2.0839554082558332630895842576694e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.276 Order of pole = 0.9035 x[1] = -0.795 y[1] (analytic) = 2.2890785625051450708611294849341 y[1] (numeric) = 2.2890785625051450228097448695676 absolute error = 4.80513846153665e-17 relative error = 2.0991583863674620740996980010199e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.275 Order of pole = 0.9035 x[1] = -0.794 y[1] (analytic) = 2.2884071842554907327640677148619 y[1] (numeric) = 2.2884071842554906843776374249686 absolute error = 4.83864302898933e-17 relative error = 2.1144152414307035756095390733590e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.274 Order of pole = 0.9035 x[1] = -0.793 y[1] (analytic) = 2.2877364193387460468065047354437 y[1] (numeric) = 2.2877364193387459980839872889758 absolute error = 4.87225174464679e-17 relative error = 2.1297260049106005577190242602984e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=190.7MB, alloc=4.5MB, time=19.43 Complex estimate of poles used Radius of convergence = 1.274 Order of pole = 0.9035 x[1] = -0.792 y[1] (analytic) = 2.2870662683524858265433846630634 y[1] (numeric) = 2.2870662683524857774837386775251 absolute error = 4.90596459855383e-17 relative error = 2.1450907070077586090871577784993e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.273 Order of pole = 0.9035 x[1] = -0.791 y[1] (analytic) = 2.2863967318946951728170882832204 y[1] (numeric) = 2.2863967318946951234192725032848 absolute error = 4.93978157799356e-17 relative error = 2.1605093766470061883096119234345e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.272 Order of pole = 0.9035 x[1] = -0.79 y[1] (analytic) = 2.2857278105637684667977575187482 y[1] (numeric) = 2.2857278105637684170607308440855 absolute error = 4.97370266746627e-17 relative error = 2.1759820414660483746326871188179e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.272 Order of pole = 0.9035 x[1] = -0.789 y[1] (analytic) = 2.2850595049585083560711812161242 y[1] (numeric) = 2.2850595049585083059939027294425 absolute error = 5.00772784866817e-17 relative error = 2.1915087278040487176726473189854e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=194.5MB, alloc=4.5MB, time=19.83 Complex estimate of poles used Radius of convergence = 1.271 Order of pole = 0.9036 x[1] = -0.788 y[1] (analytic) = 2.2843918156781247337528247953493 y[1] (numeric) = 2.2843918156781246833342537906472 absolute error = 5.04185710047021e-17 relative error = 2.2070894606902310438810477904370e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.271 Order of pole = 0.9036 x[1] = -0.787 y[1] (analytic) = 2.2837247433222337106065899618974 y[1] (numeric) = 2.2837247433222336598456859729313 absolute error = 5.07609039889661e-17 relative error = 2.2227242638323393218190500009155e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.27 Order of pole = 0.9036 x[1] = -0.786 y[1] (analytic) = 2.2830582884908565801468949126203 y[1] (numeric) = 2.2830582884908565290426177415848 absolute error = 5.11042771710355e-17 relative error = 2.2384131596051524776140140312403e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.269 Order of pole = 0.9036 x[1] = -0.785 y[1] (analytic) = 2.2823924517844187767026702856108 y[1] (numeric) = 2.2823924517844187252539800320339 absolute error = 5.14486902535769e-17 relative error = 2.2541561690389097660863761531089e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.269 Order of pole = 0.9037 x[1] = -0.784 y[1] (analytic) = 2.2817272338037488264218715112924 y[1] (numeric) = 2.2817272338037487746277286011463 absolute error = 5.17941429101461e-17 relative error = 2.2699533118076860371163093251627e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=198.3MB, alloc=4.5MB, time=20.24 Complex estimate of poles used Radius of convergence = 1.268 Order of pole = 0.9037 x[1] = -0.783 y[1] (analytic) = 2.2810626351500772911951142228245 y[1] (numeric) = 2.2810626351500772390544794378519 absolute error = 5.21406347849726e-17 relative error = 2.2858046062177563293861610182032e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.267 Order of pole = 0.9037 x[1] = -0.782 y[1] (analytic) = 2.2803986564250357054770459827091 y[1] (numeric) = 2.2803986564250356529888804899658 absolute error = 5.24881654927433e-17 relative error = 2.3017100691959103824939703462046e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.267 Order of pole = 0.9037 x[1] = -0.781 y[1] (analytic) = 2.2797352982306555059840747837008 y[1] (numeric) = 2.2797352982306554531473401653156 absolute error = 5.28367346183852e-17 relative error = 2.3176697162777082722908289826709e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.266 Order of pole = 0.9038 x[1] = -0.78 y[1] (analytic) = 2.2790725611693669542470825902085 y[1] (numeric) = 2.2790725611693669010607408733604 absolute error = 5.31863417168481e-17 relative error = 2.3336835615957210074085257588318e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=202.1MB, alloc=4.5MB, time=20.65 Complex estimate of poles used Radius of convergence = 1.266 Order of pole = 0.9038 x[1] = -0.779 y[1] (analytic) = 2.2784104458439980519977606057831 y[1] (numeric) = 2.2784104458439979984607742928968 absolute error = 5.35369863128863e-17 relative error = 2.3497516178677122470095876381973e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.265 Order of pole = 0.9038 x[1] = -0.778 y[1] (analytic) = 2.2777489528577734493672119874997 y[1] (numeric) = 2.2777489528577733954785440866594 absolute error = 5.38886679008403e-17 relative error = 2.3658738963848050042391853220601e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.264 Order of pole = 0.9039 x[1] = -0.777 y[1] (analytic) = 2.277088082814313345875477383536 y[1] (numeric) = 2.2770880828143132916340914391191 absolute error = 5.42413859444169e-17 relative error = 2.3820504069995631214375408967042e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.264 Order of pole = 0.9039 x[1] = -0.776 y[1] (analytic) = 2.2764278363176323841906489505298 y[1] (numeric) = 2.2764278363176323295955090740594 absolute error = 5.45951398764704e-17 relative error = 2.3982811581141060330052587578875e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=206.0MB, alloc=4.5MB, time=21.05 Complex estimate of poles used Radius of convergence = 1.263 Order of pole = 0.904 x[1] = -0.775 y[1] (analytic) = 2.2757682139721385366362494168572 y[1] (numeric) = 2.2757682139721384816863203180759 absolute error = 5.49499290987813e-17 relative error = 2.4145661566680987778807953264195e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.263 Order of pole = 0.904 x[1] = -0.774 y[1] (analytic) = 2.2751092163826319844255643013535 y[1] (numeric) = 2.2751092163826319291198113195172 absolute error = 5.53057529818363e-17 relative error = 2.4309054081267841164323305647951e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.262 Order of pole = 0.9041 x[1] = -0.773 y[1] (analytic) = 2.2744508441543039896016275786992 y[1] (numeric) = 2.2744508441543039339390167140927 absolute error = 5.56626108646065e-17 relative error = 2.4472989164689206241825929000802e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.261 Order of pole = 0.9041 x[1] = -0.772 y[1] (analytic) = 2.2737930978927357596615739072855 y[1] (numeric) = 2.27379309789273570364107185296 absolute error = 5.60205020543255e-17 relative error = 2.4637466841747014206410065982510e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=209.8MB, alloc=4.5MB, time=21.45 Complex estimate of poles used Radius of convergence = 1.261 Order of pole = 0.9042 x[1] = -0.771 y[1] (analytic) = 2.2731359782038973048440840073847 y[1] (numeric) = 2.2731359782038972484646581811173 absolute error = 5.63794258262674e-17 relative error = 2.4802487122136535785527151121564e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.26 Order of pole = 0.9042 x[1] = -0.77 y[1] (analytic) = 2.2724794856941462880586639014557 y[1] (numeric) = 2.2724794856941462313192824779322 absolute error = 5.67393814235235e-17 relative error = 2.4968050000324654535753276133256e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.26 Order of pole = 0.9043 x[1] = -0.769 y[1] (analytic) = 2.2718236209702268674355135089818 y[1] (numeric) = 2.2718236209702268103351454522025 absolute error = 5.71003680567793e-17 relative error = 2.5134155455428123019005652305830e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.259 Order of pole = 0.9043 x[1] = -0.768 y[1] (analytic) = 2.2711683846392685314747555299495 y[1] (numeric) = 2.271168384639268474012370625859 absolute error = 5.74623849040905e-17 relative error = 2.5300803451091230289285975951405e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.258 Order of pole = 0.9044 memory used=213.6MB, alloc=4.5MB, time=21.87 x[1] = -0.767 y[1] (analytic) = 2.2705137773087849267738116585277 y[1] (numeric) = 2.270513777308784868948380547869 absolute error = 5.78254311106587e-17 relative error = 2.5467993935363188662824395792745e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.258 Order of pole = 0.9045 x[1] = -0.766 y[1] (analytic) = 2.2698597995866726783117299462969 y[1] (numeric) = 2.2698597995866726201222241576903 absolute error = 5.81895057886066e-17 relative error = 2.5635726840575151960727717521750e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.257 Order of pole = 0.9045 x[1] = -0.765 y[1] (analytic) = 2.2692064520812102022692845871214 y[1] (numeric) = 2.2692064520812101437146765703687 absolute error = 5.85546080167527e-17 relative error = 2.5804002083216865351775809911154e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.257 Order of pole = 0.9046 x[1] = -0.764 y[1] (analytic) = 2.2685537354010565113636875280789 y[1] (numeric) = 2.2685537354010564524429506876932 absolute error = 5.89207368403857e-17 relative error = 2.5972819563813035090155628050847e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.256 Order of pole = 0.9046 x[1] = -0.763 y[1] (analytic) = 2.2679016501552500126767701273863 y[1] (numeric) = 2.2679016501552499533888788563478 absolute error = 5.92878912710385e-17 relative error = 2.6142179166799374370116976281832e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=217.4MB, alloc=4.5MB, time=22.30 Complex estimate of poles used Radius of convergence = 1.255 Order of pole = 0.9047 x[1] = -0.762 y[1] (analytic) = 2.2672501969532072979555125856371 y[1] (numeric) = 2.267250196953207238299442299376 absolute error = 5.96560702862611e-17 relative error = 2.6312080760398016785437198151612e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.255 Order of pole = 0.9048 x[1] = -0.761 y[1] (analytic) = 2.2665993764047219263638190755396 y[1] (numeric) = 2.2665993764047218663385462461452 absolute error = 6.00252728293944e-17 relative error = 2.6482524196493179389377379992954e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.254 Order of pole = 0.9048 x[1] = -0.76 y[1] (analytic) = 2.2659491891199631996644573923736 y[1] (numeric) = 2.2659491891199631392689595830314 absolute error = 6.03954978093422e-17 relative error = 2.6653509310505885196539289394204e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.254 Order of pole = 0.9049 x[1] = -0.759 y[1] (analytic) = 2.2652996357094749298101035472418 y[1] (numeric) = 2.2652996357094748690433594468986 absolute error = 6.07667441003432e-17 relative error = 2.6825035921268538730243735345730e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=221.2MB, alloc=4.5MB, time=22.71 Complex estimate of poles used Radius of convergence = 1.253 Order of pole = 0.905 x[1] = -0.758 y[1] (analytic) = 2.264650716784174198922454032551 y[1] (numeric) = 2.2646507167841741377834434908072 absolute error = 6.11390105417438e-17 relative error = 2.6997103830899708478566946563681e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.252 Order of pole = 0.9051 x[1] = -0.757 y[1] (analytic) = 2.2640024329553501116383915086973 y[1] (numeric) = 2.2640024329553500501260955709292 absolute error = 6.15122959377681e-17 relative error = 2.7169712824677527475271407582249e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.252 Order of pole = 0.9051 x[1] = -0.756 y[1] (analytic) = 2.2633547848346625398022133973634 y[1] (numeric) = 2.2633547848346624779156143400729 absolute error = 6.18865990572905e-17 relative error = 2.7342862670914095983651014050885e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.251 Order of pole = 0.9052 x[1] = -0.755 y[1] (analytic) = 2.2627077730341408594829573248302 y[1] (numeric) = 2.2627077730341407972210386912257 absolute error = 6.22619186336045e-17 relative error = 2.7516553120828060737141631029058e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=225.0MB, alloc=4.5MB, time=23.12 Complex estimate of poles used Radius of convergence = 1.251 Order of pole = 0.9053 x[1] = -0.754 y[1] (analytic) = 2.2620613981661826802958825430119 y[1] (numeric) = 2.2620613981661826176576291788173 absolute error = 6.26382533641946e-17 relative error = 2.7690783908418418318548634338017e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.25 Order of pole = 0.9054 x[1] = -0.753 y[1] (analytic) = 2.2614156608435525670071923712157 y[1] (numeric) = 2.2614156608435525039915904607102 absolute error = 6.30156019105055e-17 relative error = 2.7865554750336981286878404258741e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.249 Order of pole = 0.9054 x[1] = -0.752 y[1] (analytic) = 2.2607705616793807534011093526655 y[1] (numeric) = 2.2607705616793806900071464549538 absolute error = 6.33939628977117e-17 relative error = 2.8040865345760876517083202149351e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.249 Order of pole = 0.9055 x[1] = -0.751 y[1] (analytic) = 2.2601261012871618483884422113223 y[1] (numeric) = 2.2601261012871617846151072968355 absolute error = 6.37733349144868e-17 relative error = 2.8216715376264767032616659668679e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=228.8MB, alloc=4.5MB, time=23.52 Complex estimate of poles used Radius of convergence = 1.248 Order of pole = 0.9056 x[1] = -0.75 y[1] (analytic) = 2.2594822802807535343358118312282 y[1] (numeric) = 2.2594822802807534701820953184554 absolute error = 6.41537165127728e-17 relative error = 2.8393104505692930488156183383887e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.248 Order of pole = 0.9057 x[1] = -0.749 y[1] (analytic) = 2.2588390992743752575947323672398 y[1] (numeric) = 2.2588390992743751930596261596918 absolute error = 6.45351062075480e-17 relative error = 2.8570032380030575168576567250561e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.247 Order of pole = 0.9058 x[1] = -0.748 y[1] (analytic) = 2.2581965588826069112097732373596 y[1] (numeric) = 2.2581965588826068462922707607634 absolute error = 6.49175024765962e-17 relative error = 2.8747498627275588572380197814202e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.246 Order of pole = 0.9058 x[1] = -0.747 y[1] (analytic) = 2.2575546597203875097850581476608 y[1] (numeric) = 2.2575546597203874444841543873869 absolute error = 6.53009037602739e-17 relative error = 2.8925502857309258631483880735803e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.246 Order of pole = 0.9059 x[1] = -0.746 y[1] (analytic) = 2.2569134024030138564883884658213 y[1] (numeric) = 2.2569134024030137908030800045425 absolute error = 6.56853084612788e-17 relative error = 2.9104044661767428647424378706419e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=232.7MB, alloc=4.5MB, time=23.94 Complex estimate of poles used Radius of convergence = 1.245 Order of pole = 0.906 x[1] = -0.745 y[1] (analytic) = 2.2562727875461392021723101932822 y[1] (numeric) = 2.2562727875461391361015952488654 absolute error = 6.60707149444168e-17 relative error = 2.9283123613910846779355138918741e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.245 Order of pole = 0.9061 x[1] = -0.744 y[1] (analytic) = 2.2556328157657718965914764938215 y[1] (numeric) = 2.2556328157657718301343549574523 absolute error = 6.64571215363692e-17 relative error = 2.9462739268495463110907108533645e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.244 Order of pole = 0.9062 x[1] = -0.743 y[1] (analytic) = 2.2549934876782740316956912226532 y[1] (numeric) = 2.2549934876782739648511646971929 absolute error = 6.68445265254603e-17 relative error = 2.9642891161642763849222590143467e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.243 Order of pole = 0.9062 x[1] = -0.742 y[1] (analytic) = 2.2543548039003600769780531698173 y[1] (numeric) = 2.2543548039003600097451250083939 absolute error = 6.72329281614234e-17 relative error = 2.9823578810709256526124906696475e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=236.5MB, alloc=4.5MB, time=24.37 Complex estimate of poles used Radius of convergence = 1.243 Order of pole = 0.9063 x[1] = -0.741 y[1] (analytic) = 2.2537167650490955068576557894156 y[1] (numeric) = 2.2537167650490954392353311342476 absolute error = 6.76223246551680e-17 relative error = 3.0004801714156347881487243955978e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.242 Order of pole = 0.9064 x[1] = -0.74 y[1] (analytic) = 2.2530793717418954200763330369546 y[1] (numeric) = 2.253079371741895352063618858409 absolute error = 6.80127141785456e-17 relative error = 3.0186559351419462208248809508244e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.242 Order of pole = 0.9065 x[1] = -0.739 y[1] (analytic) = 2.2524426245965231510889785854988 y[1] (numeric) = 2.2524426245965230826848837213831 absolute error = 6.84040948641157e-17 relative error = 3.0368851182777109974232819351065e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.241 Order of pole = 0.9066 x[1] = -0.738 y[1] (analytic) = 2.2518065242310888734270031423101 y[1] (numeric) = 2.2518065242310888046305383373977 absolute error = 6.87964648049124e-17 relative error = 3.0551676649220085242912126956868e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=240.3MB, alloc=4.5MB, time=24.76 Complex estimate of poles used Radius of convergence = 1.24 Order of pole = 0.9066 x[1] = -0.737 y[1] (analytic) = 2.2511710712640481950145328459622 y[1] (numeric) = 2.2511710712640481258247107917522 absolute error = 6.91898220542100e-17 relative error = 3.0735035172320082394591459615312e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.24 Order of pole = 0.9067 x[1] = -0.736 y[1] (analytic) = 2.2505362663142007454169907943979 y[1] (numeric) = 2.2505362663142006758328261691101 absolute error = 6.95841646252878e-17 relative error = 3.0918926154097820859061674105135e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.239 Order of pole = 0.9068 x[1] = -0.735 y[1] (analytic) = 2.2499021100006887550017436418485 y[1] (numeric) = 2.2499021100006886850222531506518 absolute error = 6.99794904911967e-17 relative error = 3.1103348976891833490845158487504e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.239 Order of pole = 0.9069 x[1] = -0.734 y[1] (analytic) = 2.2492686029429956259905359117813 y[1] (numeric) = 2.2492686029429955556147383272579 absolute error = 7.03757975845234e-17 relative error = 3.1288303003226053623315230362962e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=244.1MB, alloc=4.5MB, time=25.18 Complex estimate of poles used Radius of convergence = 1.238 Order of pole = 0.907 x[1] = -0.733 y[1] (analytic) = 2.2486357457609444953834762089196 y[1] (numeric) = 2.2486357457609444246103924117633 absolute error = 7.07730837971563e-17 relative error = 3.1473787575678022762828118231430e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.237 Order of pole = 0.907 x[1] = -0.732 y[1] (analytic) = 2.2480035390746967897343818806974 y[1] (numeric) = 2.2480035390746967185630349006471 absolute error = 7.11713469800503e-17 relative error = 3.1659802016746475604958079693520e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.237 Order of pole = 0.9071 x[1] = -0.731 y[1] (analytic) = 2.2473719835047507717573318821206 y[1] (numeric) = 2.2473719835047507001867469391287 absolute error = 7.15705849429919e-17 relative error = 3.1846345628718925106513348367454e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.236 Order of pole = 0.9072 x[1] = -0.73 y[1] (analytic) = 2.2467410796719400787443216427198 y[1] (numeric) = 2.2467410796719400067735261883562 absolute error = 7.19707954543636e-17 relative error = 3.2033417693538803539432587271487e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=247.9MB, alloc=4.5MB, time=25.59 Complex estimate of poles used Radius of convergence = 1.236 Order of pole = 0.9073 x[1] = -0.729 y[1] (analytic) = 2.2461108281974322527739586249518 y[1] (numeric) = 2.2461108281974321804019823840427 absolute error = 7.23719762409091e-17 relative error = 3.2221017472672827493132552064401e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.235 Order of pole = 0.9073 x[1] = -0.728 y[1] (analytic) = 2.2454812297027272626911830048549 y[1] (numeric) = 2.2454812297027271899170580173567 absolute error = 7.27741249874982e-17 relative error = 3.2409144206978098415119937717823e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.235 Order of pole = 0.9074 x[1] = -0.727 y[1] (analytic) = 2.2448522848096560178380445028409 y[1] (numeric) = 2.2448522848096559446608051659502 absolute error = 7.31772393368907e-17 relative error = 3.2597797116568627370898563665785e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.234 Order of pole = 0.9075 x[1] = -0.726 y[1] (analytic) = 2.2442239941403788735156138500499 y[1] (numeric) = 2.2442239941403787999342969605481 absolute error = 7.35813168895018e-17 relative error = 3.2786975400682397894043754232698e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.233 Order of pole = 0.9076 x[1] = -0.725 y[1] (analytic) = 2.2435963583173841281571556985346 y[1] (numeric) = 2.2435963583173840541708004953684 absolute error = 7.39863552031662e-17 relative error = 3.2976678237547721018388668111048e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=251.7MB, alloc=4.5MB, time=26.02 Complex estimate of poles used Radius of convergence = 1.233 Order of pole = 0.9076 x[1] = -0.724 y[1] (analytic) = 2.2429693779634865121927389765375 y[1] (numeric) = 2.2429693779634864378003871836346 absolute error = 7.43923517929029e-17 relative error = 3.3166904784249773816325499305239e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.232 Order of pole = 0.9077 x[1] = -0.723 y[1] (analytic) = 2.2423430537018256685855107581037 y[1] (numeric) = 2.2423430537018255937862066274235 absolute error = 7.47993041306802e-17 relative error = 3.3357654176597099861804903336138e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.232 Order of pole = 0.9078 x[1] = -0.722 y[1] (analytic) = 2.2417173861558646250199106640841 y[1] (numeric) = 2.241717386155864549812701018905 absolute error = 7.52072096451791e-17 relative error = 3.3548925528987269630161797390249e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.231 Order of pole = 0.9078 x[1] = -0.721 y[1] (analytic) = 2.241092375949388257722154644077 y[1] (numeric) = 2.2410923759493881821060889225179 absolute error = 7.56160657215591e-17 relative error = 3.3740717934273485083846862530244e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=255.5MB, alloc=4.5MB, time=26.41 Complex estimate of poles used Radius of convergence = 1.23 Order of pole = 0.9079 x[1] = -0.72 y[1] (analytic) = 2.2404680237065017468933697108539 y[1] (numeric) = 2.2404680237065016708675000096312 absolute error = 7.60258697012227e-17 relative error = 3.3933030463630479898198991095092e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.23 Order of pole = 0.908 x[1] = -0.719 y[1] (analytic) = 2.2398443300516290237358148151833 y[1] (numeric) = 2.2398443300516289472991959336035 absolute error = 7.64366188815798e-17 relative error = 3.4125862166420250755642801338393e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.229 Order of pole = 0.908 x[1] = -0.718 y[1] (analytic) = 2.2392212956095112090526775645282 y[1] (numeric) = 2.2392212956095111322043670487157 absolute error = 7.68483105158125e-17 relative error = 3.4319212070057843727966064408590e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.229 Order of pole = 0.9081 x[1] = -0.717 y[1] (analytic) = 2.2385989210052050434019919086943 y[1] (numeric) = 2.238598921005204966141050096054 absolute error = 7.72609418126403e-17 relative error = 3.4513079179877196914333881196803e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=259.4MB, alloc=4.5MB, time=26.81 Complex estimate of poles used Radius of convergence = 1.228 Order of pole = 0.9081 x[1] = -0.716 y[1] (analytic) = 2.237977206864081308785278243986 y[1] (numeric) = 2.2379772068640812311107683079009 absolute error = 7.76745099360851e-17 relative error = 3.4707462478996772407936906923642e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.228 Order of pole = 0.9082 x[1] = -0.715 y[1] (analytic) = 2.2373561538118232418515646296196 y[1] (numeric) = 2.2373561538118231637625526243834 absolute error = 7.80890120052362e-17 relative error = 3.4902360928185067638181883188764e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.227 Order of pole = 0.9083 x[1] = -0.714 y[1] (analytic) = 2.2367357624744249385975059708857 y[1] (numeric) = 2.2367357624744248600930608768702 absolute error = 7.85044450940155e-17 relative error = 3.5097773465726096339230312001742e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.226 Order of pole = 0.9083 x[1] = -0.713 y[1] (analytic) = 2.2361160334781897505443771076734 y[1] (numeric) = 2.2361160334781896716235708767304 absolute error = 7.89208062309430e-17 relative error = 3.5293699007284884878743727936221e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=263.2MB, alloc=4.5MB, time=27.23 Complex estimate of poles used Radius of convergence = 1.226 Order of pole = 0.9084 x[1] = -0.712 y[1] (analytic) = 2.2354969674497286723727757593004 y[1] (numeric) = 2.2354969674497285930346833603979 absolute error = 7.93380923989025e-17 relative error = 3.5490136445772940319052498618545e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.225 Order of pole = 0.9084 x[1] = -0.711 y[1] (analytic) = 2.2348785650159587209959322219587 y[1] (numeric) = 2.2348785650159586412396316870514 absolute error = 7.97563005349073e-17 relative error = 3.5687084651213601743454489196228e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.225 Order of pole = 0.9085 x[1] = -0.71 y[1] (analytic) = 2.2342608268041013060525845983109 y[1] (numeric) = 2.234260826804101225877157068445 absolute error = 8.01754275298659e-17 relative error = 3.5884542470607275702324491609410e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.224 Order of pole = 0.9085 x[1] = -0.709 y[1] (analytic) = 2.2336437534416805918004411646762 y[1] (numeric) = 2.2336437534416805112049709363275 absolute error = 8.05954702283487e-17 relative error = 3.6082508727797004337899014859372e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.224 Order of pole = 0.9085 x[1] = -0.708 y[1] (analytic) = 2.2330273455565218503913152546376 y[1] (numeric) = 2.2330273455565217693748898262837 absolute error = 8.10164254283539e-17 relative error = 3.6280982223333561837352238605014e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=267.0MB, alloc=4.5MB, time=27.66 Complex estimate of poles used Radius of convergence = 1.223 Order of pole = 0.9086 x[1] = -0.707 y[1] (analytic) = 2.2324116037767498065090827636055 y[1] (numeric) = 2.2324116037767497250707928825311 absolute error = 8.14382898810744e-17 relative error = 3.6479961734340885694362686827109e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.222 Order of pole = 0.9086 x[1] = -0.706 y[1] (analytic) = 2.231796528730786973351678061679 y[1] (numeric) = 2.2317965287307868914906177710144 absolute error = 8.18610602906646e-17 relative error = 3.6679446014381351642166360197857e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.222 Order of pole = 0.9087 x[1] = -0.705 y[1] (analytic) = 2.2311821210473519799384107468713 y[1] (numeric) = 2.2311821210473518976536774328635 absolute error = 8.22847333140078e-17 relative error = 3.6879433793321206785915575587313e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.221 Order of pole = 0.9087 x[1] = -0.704 y[1] (analytic) = 2.230568381355457889723953282191 y[1] (numeric) = 2.2305683813554578070146477217075 absolute error = 8.27093055604835e-17 relative error = 3.7079923777195848515451956828057e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=270.8MB, alloc=4.5MB, time=28.07 Complex estimate of poles used Radius of convergence = 1.221 Order of pole = 0.9087 x[1] = -0.703 y[1] (analytic) = 2.2299553102844105105004181430019 y[1] (numeric) = 2.229955310284410427365644551267 absolute error = 8.31347735917349e-17 relative error = 3.7280914648075084532980371078414e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.22 Order of pole = 0.9088 x[1] = -0.702 y[1] (analytic) = 2.2293429084638066955690126602924 y[1] (numeric) = 2.2293429084638066120078787388546 absolute error = 8.35611339214378e-17 relative error = 3.7482405063928913337597637971970e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.22 Order of pole = 0.9088 x[1] = -0.701 y[1] (analytic) = 2.228731176523532636162830285754 y[1] (numeric) = 2.2287311765235325521744472706859 absolute error = 8.39883830150681e-17 relative error = 3.7684393658492570952294849558406e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.219 Order of pole = 0.9088 x[1] = -0.7 y[1] (analytic) = 2.2281201150937621451024085306755 y[1] (numeric) = 2.2281201150937620606858912410039 absolute error = 8.44165172896716e-17 relative error = 3.7886879041132504182732506574998e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=274.6MB, alloc=4.5MB, time=28.48 Complex estimate of poles used Radius of convergence = 1.218 Order of pole = 0.9088 x[1] = -0.699 y[1] (analytic) = 2.2275097248049549316657563473521 y[1] (numeric) = 2.2275097248049548468202232337199 absolute error = 8.48455331136322e-17 relative error = 3.8089859796711522463450236538279e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.218 Order of pole = 0.9088 x[1] = -0.698 y[1] (analytic) = 2.2269000062878548676546272337684 y[1] (numeric) = 2.2269000062878547823792004273258 absolute error = 8.52754268064426e-17 relative error = 3.8293334485454968950965545442703e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.217 Order of pole = 0.9089 x[1] = -0.697 y[1] (analytic) = 2.2262909601734882446388888544601 y[1] (numeric) = 2.2262909601734881589326942159869 absolute error = 8.57061946384732e-17 relative error = 3.8497301642815982469180058584932e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.217 Order of pole = 0.9089 x[1] = -0.696 y[1] (analytic) = 2.2256825870931620223609154874681 y[1] (numeric) = 2.2256825870931619362230826567246 absolute error = 8.61378328307435e-17 relative error = 3.8701759779341781672496043701884e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=278.4MB, alloc=4.5MB, time=28.89 Complex estimate of poles used Radius of convergence = 1.216 Order of pole = 0.9089 x[1] = -0.695 y[1] (analytic) = 2.2250748876784620682820061338638 y[1] (numeric) = 2.2250748876784619817116685791716 absolute error = 8.65703375546922e-17 relative error = 3.8906707380539266695052379166560e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.216 Order of pole = 0.9089 x[1] = -0.694 y[1] (analytic) = 2.2244678625612513882529086672092 y[1] (numeric) = 2.22446786256125130124920373526 absolute error = 8.70037049319492e-17 relative error = 3.9112142906741376646620776338199e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.215 Order of pole = 0.9089 x[1] = -0.693 y[1] (analytic) = 2.2238615123736683482906089601984 y[1] (numeric) = 2.223861512373668260852677926091 absolute error = 8.74379310341074e-17 relative error = 3.9318064792973261219346349992272e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.214 Order of pole = 0.9089 x[1] = -0.692 y[1] (analytic) = 2.2232558377481248874436235093427 y[1] (numeric) = 2.2232558377481247995706116268483 absolute error = 8.78730118824944e-17 relative error = 3.9524471448818312152747578374245e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=282.2MB, alloc=4.5MB, time=29.30 Complex estimate of poles used Radius of convergence = 1.214 Order of pole = 0.9089 x[1] = -0.691 y[1] (analytic) = 2.2226508393173047217281146905866 y[1] (numeric) = 2.2226508393173046334191712426402 absolute error = 8.83089434479464e-17 relative error = 3.9731361258285090217024705022086e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.213 Order of pole = 0.9089 x[1] = -0.69 y[1] (analytic) = 2.2220465177141615391172294238653 y[1] (numeric) = 2.2220465177141614503715077732847 absolute error = 8.87457216505806e-17 relative error = 3.9938732579673485418086298742458e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.213 Order of pole = 0.9089 x[1] = -0.689 y[1] (analytic) = 2.2214428735719171855661447075186 y[1] (numeric) = 2.2214428735719170963828023479486 absolute error = 8.91833423595700e-17 relative error = 4.0146583745441865708608458854729e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.212 Order of pole = 0.9089 x[1] = -0.688 y[1] (analytic) = 2.2208399075240598420553872088093 y[1] (numeric) = 2.2208399075240597524335858158918 absolute error = 8.96218013929175e-17 relative error = 4.0354913062073821350208072875117e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.212 Order of pole = 0.9089 x[1] = -0.687 y[1] (analytic) = 2.2202376202043421926350788692233 y[1] (numeric) = 2.2202376202043421025739843519917 absolute error = 9.00610945172316e-17 relative error = 4.0563718809945541215062798563955e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=286.1MB, alloc=4.5MB, time=29.79 Complex estimate of poles used Radius of convergence = 1.211 Order of pole = 0.9089 x[1] = -0.686 y[1] (analytic) = 2.2196360122467795834528463073782 y[1] (numeric) = 2.2196360122467794929516288598769 absolute error = 9.05012174475013e-17 relative error = 4.0772999243192742103808359623506e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.21 Order of pole = 0.9088 x[1] = -0.685 y[1] (analytic) = 2.2190350842856481727482186828826 y[1] (numeric) = 2.2190350842856480818060528360091 absolute error = 9.09421658468735e-17 relative error = 4.0982752589578638500063721614746e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.21 Order of pole = 0.9088 x[1] = -0.684 y[1] (analytic) = 2.2184348369554830717964266259603 y[1] (numeric) = 2.2184348369554829804124912995308 absolute error = 9.13839353264295e-17 relative error = 4.1192977050361423260431059115280e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.209 Order of pole = 0.9088 x[1] = -0.683 y[1] (analytic) = 2.217835270891076476784603844711 y[1] (numeric) = 2.2178352708910763849580823997483 absolute error = 9.18265214449627e-17 relative error = 4.1403670800162206319967975650898e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=289.9MB, alloc=4.5MB, time=30.23 Complex estimate of poles used Radius of convergence = 1.209 Order of pole = 0.9088 x[1] = -0.682 y[1] (analytic) = 2.2172363867274757916034830990867 y[1] (numeric) = 2.2172363867274756993335633903288 absolute error = 9.22699197087579e-17 relative error = 4.1614831986833593825900835622830e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.208 Order of pole = 0.9088 x[1] = -0.681 y[1] (analytic) = 2.216638185099981741537769382606 y[1] (numeric) = 2.2166381850999816488236438112364 absolute error = 9.27141255713696e-17 relative error = 4.1826458731327737103691648582802e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.208 Order of pole = 0.9087 x[1] = -0.68 y[1] (analytic) = 2.2160406666441464778384653840716 y[1] (numeric) = 2.2160406666441463846793309506698 absolute error = 9.31591344334018e-17 relative error = 4.2038549127564979733110965607291e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.207 Order of pole = 0.9087 x[1] = -0.679 y[1] (analytic) = 2.2154438319957716731605176166302 y[1] (numeric) = 2.2154438319957715795555759743401 absolute error = 9.36049416422901e-17 relative error = 4.2251101242303466109891663106054e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=293.7MB, alloc=4.5MB, time=30.65 Complex estimate of poles used Radius of convergence = 1.207 Order of pole = 0.9087 x[1] = -0.678 y[1] (analytic) = 2.2148476817909066078492460049581 y[1] (numeric) = 2.2148476817909065137977035128768 absolute error = 9.40515424920813e-17 relative error = 4.2464113115007547257550078723508e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.206 Order of pole = 0.9086 x[1] = -0.677 y[1] (analytic) = 2.2142522166658462470591152176923 y[1] (numeric) = 2.2142522166658461525601829944752 absolute error = 9.44989322232171e-17 relative error = 4.2677582757717963456796508475304e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.205 Order of pole = 0.9086 x[1] = -0.676 y[1] (analytic) = 2.2136574372571293086885026259299 y[1] (numeric) = 2.2136574372571292137413966036134 absolute error = 9.49471060223165e-17 relative error = 4.2891508154921368784269485710553e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.205 Order of pole = 0.9085 x[1] = -0.675 y[1] (analytic) = 2.2130633442015363221142154642009 y[1] (numeric) = 2.2130633442015362267181564422409 absolute error = 9.53960590219600e-17 relative error = 4.3105887263420598239984317668989e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=297.5MB, alloc=4.5MB, time=31.04 Complex estimate of poles used Radius of convergence = 1.204 Order of pole = 0.9085 x[1] = -0.674 y[1] (analytic) = 2.2124699381360876777096085722182 y[1] (numeric) = 2.2124699381360875818638222717438 absolute error = 9.58457863004744e-17 relative error = 4.3320718012205137627052445996562e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.204 Order of pole = 0.9085 x[1] = -0.673 y[1] (analytic) = 2.2118772196980416671302540083945 y[1] (numeric) = 2.2118772196980415708339711266764 absolute error = 9.62962828817181e-17 relative error = 4.3535998302321752500886630645110e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.203 Order of pole = 0.9084 x[1] = -0.672 y[1] (analytic) = 2.2112851895248925143512148540019 y[1] (numeric) = 2.2112851895248924176036711191334 absolute error = 9.67475437348685e-17 relative error = 4.3751726006746001195738870573664e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.203 Order of pole = 0.9084 x[1] = -0.671 y[1] (analytic) = 2.2106938482543683974400776743575 y[1] (numeric) = 2.2106938482543683002405139001488 absolute error = 9.71995637742087e-17 relative error = 4.3967898970253368163409938313271e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.202 Order of pole = 0.9083 memory used=301.3MB, alloc=4.5MB, time=31.43 x[1] = -0.67 y[1] (analytic) = 2.2101031965244294610500013749424 y[1] (numeric) = 2.2101031965244293633976635160259 absolute error = 9.76523378589165e-17 relative error = 4.4184515009291375463411450345754e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.201 Order of pole = 0.9082 x[1] = -0.669 y[1] (analytic) = 2.2095132349732658196171445902652 y[1] (numeric) = 2.2095132349732657215112837974116 absolute error = 9.81058607928536e-17 relative error = 4.4401571911851724949171336443831e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.201 Order of pole = 0.9082 x[1] = -0.668 y[1] (analytic) = 2.2089239642392955512469392759358 y[1] (numeric) = 2.2089239642392954526868119515795 absolute error = 9.85601273243563e-17 relative error = 4.4619067437343060877516304615264e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.2 Order of pole = 0.9081 x[1] = -0.667 y[1] (analytic) = 2.2083353849611626822737848441395 y[1] (numeric) = 2.2083353849611625832586526981126 absolute error = 9.90151321460269e-17 relative error = 4.4836999316463992985532677076398e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.2 Order of pole = 0.9081 x[1] = -0.666 y[1] (analytic) = 2.2077474977777351624788449938225 y[1] (numeric) = 2.2077474977777350630079750992966 absolute error = 9.94708698945259e-17 relative error = 4.5055365251076426964197513165744e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=305.1MB, alloc=4.5MB, time=31.81 Complex estimate of poles used Radius of convergence = 1.199 Order of pole = 0.908 x[1] = -0.665 y[1] (analytic) = 2.2071603033281028309507383437057 y[1] (numeric) = 2.2071603033281027310234031933397 absolute error = 9.99273351503660e-17 relative error = 4.5274162914079657121744425915099e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.199 Order of pole = 0.9079 x[1] = -0.664 y[1] (analytic) = 2.2065738022515753725740240830046 y[1] (numeric) = 2.2065738022515752721895016452983 absolute error = 1.003845224377063e-16 relative error = 4.5493389949284498698971406376538e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.198 Order of pole = 0.9079 x[1] = -0.663 y[1] (analytic) = 2.2059879951876802651304951157085 y[1] (numeric) = 2.2059879951876801642880688915597 absolute error = 1.008424262241488e-16 relative error = 4.5713043971288413012214334054895e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.198 Order of pole = 0.9078 x[1] = -0.662 y[1] (analytic) = 2.2054028827761607169984035936761 y[1] (numeric) = 2.2054028827761606156973626731416 absolute error = 1.013010409205345e-16 relative error = 4.5933122565350404151554055548219e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=309.0MB, alloc=4.5MB, time=32.19 Complex estimate of poles used Radius of convergence = 1.197 Order of pole = 0.9077 x[1] = -0.661 y[1] (analytic) = 2.2048184656569735954348573158625 y[1] (numeric) = 2.2048184656569734936744964351207 absolute error = 1.017603608807418e-16 relative error = 4.6153623287266912546751688239140e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.196 Order of pole = 0.9077 x[1] = -0.66 y[1] (analytic) = 2.2042347444702873454267402198656 y[1] (numeric) = 2.2042347444702872432063598183795 absolute error = 1.022203804014861e-16 relative error = 4.6374543663248209359154599454702e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.196 Order of pole = 0.9076 x[1] = -0.659 y[1] (analytic) = 2.2036517198564798990956261118414 y[1] (numeric) = 2.2036517198564797964145323897218 absolute error = 1.026810937221196e-16 relative error = 4.6595881189794839980470041181132e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.195 Order of pole = 0.9075 x[1] = -0.658 y[1] (analytic) = 2.2030693924561365756422718758205 y[1] (numeric) = 2.2030693924561364724997768513873 absolute error = 1.031424950244332e-16 relative error = 4.6817633333574980307087679240201e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=312.8MB, alloc=4.5MB, time=32.58 Complex estimate of poles used Radius of convergence = 1.195 Order of pole = 0.9074 x[1] = -0.657 y[1] (analytic) = 2.2024877629100479718163946776646 y[1] (numeric) = 2.2024877629100478682118162452049 absolute error = 1.036045784324597e-16 relative error = 4.7039797531302345398450595903753e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.194 Order of pole = 0.9074 x[1] = -0.656 y[1] (analytic) = 2.2019068318592078428975571364245 y[1] (numeric) = 2.2019068318592077388302191241471 absolute error = 1.040673380122774e-16 relative error = 4.7262371189614243946158998087498e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.194 Order of pole = 0.9073 x[1] = -0.655 y[1] (analytic) = 2.2013265999448109741731050807585 y[1] (numeric) = 2.2013265999448108696423373089421 absolute error = 1.045307677718164e-16 relative error = 4.7485351684950824789261138824083e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.193 Order of pole = 0.9072 x[1] = -0.654 y[1] (analytic) = 2.2007470678082510428992243443693 y[1] (numeric) = 2.2007470678082509379043626837047 absolute error = 1.049948616606646e-16 relative error = 4.7708736363434155642952946316977e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=316.6MB, alloc=4.5MB, time=32.95 Complex estimate of poles used Radius of convergence = 1.193 Order of pole = 0.9071 x[1] = -0.653 y[1] (analytic) = 2.2001682360911184707313060861352 y[1] (numeric) = 2.200168236091118365271692516259 absolute error = 1.054596135698762e-16 relative error = 4.7932522540748407499413216233640e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.192 Order of pole = 0.907 x[1] = -0.652 y[1] (analytic) = 2.1995901054351982666099343517163 y[1] (numeric) = 2.1995901054351981606849170199347 absolute error = 1.059250173317816e-16 relative error = 4.8156707502020647783137300673366e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.191 Order of pole = 0.907 x[1] = -0.651 y[1] (analytic) = 2.1990126764824678600889350278667 y[1] (numeric) = 2.1990126764824677536978683080692 absolute error = 1.063910667197975e-16 relative error = 4.8381288501701698816509497816332e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.191 Order of pole = 0.9069 x[1] = -0.65 y[1] (analytic) = 2.1984359498750949250920519824065 y[1] (numeric) = 2.1984359498750948182342965341666 absolute error = 1.068577554482399e-16 relative error = 4.8606262763448290995907300915780e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.19 Order of pole = 0.9068 x[1] = -0.649 y[1] (analytic) = 2.1978599262554351940849440356849 y[1] (numeric) = 2.1978599262554350867598668635475 absolute error = 1.073250771721374e-16 relative error = 4.8831627480005331221076711870171e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=320.4MB, alloc=4.5MB, time=33.34 Complex estimate of poles used Radius of convergence = 1.19 Order of pole = 0.9067 x[1] = -0.648 y[1] (analytic) = 2.197284606266030262649325477282 y[1] (numeric) = 2.1972846062660301548562999902348 absolute error = 1.077930254870472e-16 relative error = 4.9057379813089380176286600990708e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.189 Order of pole = 0.9066 x[1] = -0.647 y[1] (analytic) = 2.1967099905496053844462031284688 y[1] (numeric) = 2.1967099905496052761846091995977 absolute error = 1.082615939288711e-16 relative error = 4.9283516893272112697503703738642e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.189 Order of pole = 0.9065 x[1] = -0.646 y[1] (analytic) = 2.1961360797490672565552944603997 y[1] (numeric) = 2.1961360797490671478245184867256 absolute error = 1.087307759736741e-16 relative error = 4.9510035819864946217870229625707e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.188 Order of pole = 0.9065 x[1] = -0.645 y[1] (analytic) = 2.1955628745075017951778440139037 y[1] (numeric) = 2.1955628745075016859772789763996 absolute error = 1.092005650375041e-16 relative error = 4.9736933660804157358192126669999e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=324.2MB, alloc=4.5MB, time=33.72 Complex estimate of poles used Radius of convergence = 1.188 Order of pole = 0.9064 x[1] = -0.644 y[1] (analytic) = 2.1949903754681719016901893328322 y[1] (numeric) = 2.1949903754681717920192348566187 absolute error = 1.096709544762135e-16 relative error = 4.9964207452536853142466600193897e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.187 Order of pole = 0.9063 x[1] = -0.643 y[1] (analytic) = 2.1944185832745152190355628229124 y[1] (numeric) = 2.1944185832745151088936252376306 absolute error = 1.101419375852818e-16 relative error = 5.0191854199907389387301496981568e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.187 Order of pole = 0.9062 x[1] = -0.642 y[1] (analytic) = 2.1938474985701418784417523856366 y[1] (numeric) = 2.1938474985701417678282447859958 absolute error = 1.106135075996408e-16 relative error = 5.0419870876044967510290051513987e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.186 Order of pole = 0.9061 x[1] = -0.641 y[1] (analytic) = 2.1932771219988322364523813555256 y[1] (numeric) = 2.1932771219988321253667236620253 absolute error = 1.110856576935003e-16 relative error = 5.0648254422251455548290180933275e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=328.0MB, alloc=4.5MB, time=34.10 Complex estimate of poles used Radius of convergence = 1.185 Order of pole = 0.906 x[1] = -0.64 y[1] (analytic) = 2.1927074542045346022597071927667 y[1] (numeric) = 2.1927074542045344907013262125903 absolute error = 1.115583809801764e-16 relative error = 5.0877001747890392624774107647347e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.185 Order of pole = 0.9059 x[1] = -0.639 y[1] (analytic) = 2.1921384958313629553269785553106 y[1] (numeric) = 2.1921384958313628432953080433895 absolute error = 1.120316705119211e-16 relative error = 5.1106109730276587100110388624869e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.184 Order of pole = 0.9058 x[1] = -0.638 y[1] (analytic) = 2.1915702475235946532885317985731 y[1] (numeric) = 2.19157024752359454078301251882 absolute error = 1.125055192797531e-16 relative error = 5.1335575214566264959045061404239e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.184 Order of pole = 0.9058 x[1] = -0.637 y[1] (analytic) = 2.1910027099256681301159506304351 y[1] (numeric) = 2.1910027099256680171360304171431 absolute error = 1.129799202132920e-16 relative error = 5.1565395013648774643767624040051e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=331.8MB, alloc=4.5MB, time=34.49 Complex estimate of poles used Radius of convergence = 1.183 Order of pole = 0.9057 x[1] = -0.636 y[1] (analytic) = 2.1904358836821805845387565877373 y[1] (numeric) = 2.1904358836821804710838904071448 absolute error = 1.134548661805925e-16 relative error = 5.1795565908038300052053493422243e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.183 Order of pole = 0.9056 x[1] = -0.635 y[1] (analytic) = 2.189869769437885658708243201378 y[1] (numeric) = 2.1898697694378855447778932133972 absolute error = 1.139303499879808e-16 relative error = 5.2026084645766587435308661134266e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.182 Order of pole = 0.9055 x[1] = -0.634 y[1] (analytic) = 2.1893043678376911070932131838337 y[1] (numeric) = 2.1893043678376909926868488039396 absolute error = 1.144063643798941e-16 relative error = 5.2256947942277100215057254907932e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.182 Order of pole = 0.9054 x[1] = -0.633 y[1] (analytic) = 2.1887396795266564555965257088019 y[1] (numeric) = 2.1887396795266563407136236700815 absolute error = 1.148829020387204e-16 relative error = 5.2488152480319326112927399475976e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=335.7MB, alloc=4.5MB, time=34.87 Complex estimate of poles used Radius of convergence = 1.181 Order of pole = 0.9053 x[1] = -0.632 y[1] (analytic) = 2.1881757051499906508815098610502 y[1] (numeric) = 2.1881757051499905355215542764094 absolute error = 1.153599555846408e-16 relative error = 5.2719694909844243356224375777747e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.181 Order of pole = 0.9053 x[1] = -0.631 y[1] (analytic) = 2.1876124453530496998974506187242 y[1] (numeric) = 2.1876124453530495840599330432504 absolute error = 1.158375175754738e-16 relative error = 5.2951571847900720573017381925936e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.18 Order of pole = 0.9052 x[1] = -0.63 y[1] (analytic) = 2.1870499007813342995935052935781 y[1] (numeric) = 2.1870499007813341832779247870563 absolute error = 1.163155805065218e-16 relative error = 5.3183779878532944583875887653386e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.18 Order of pole = 0.9051 x[1] = -0.629 y[1] (analytic) = 2.1864880720804874568105612000539 y[1] (numeric) = 2.1864880720804873400164243896352 absolute error = 1.167941368104187e-16 relative error = 5.3416315552678375923458726601675e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.179 Order of pole = 0.905 x[1] = -0.628 y[1] (analytic) = 2.1859269598962920983406994550262 y[1] (numeric) = 2.1859269598962919810675205980458 absolute error = 1.172731788569804e-16 relative error = 5.3649175388067057558614961936971e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=339.5MB, alloc=4.5MB, time=35.26 Complex estimate of poles used Radius of convergence = 1.178 Order of pole = 0.9049 x[1] = -0.627 y[1] (analytic) = 2.1853665648746686711440852294713 y[1] (numeric) = 2.1853665648746685533913862764144 absolute error = 1.177526989530569e-16 relative error = 5.3882355869121685433566756929061e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.178 Order of pole = 0.9049 x[1] = -0.626 y[1] (analytic) = 2.1848068876616727327132614844137 y[1] (numeric) = 2.1848068876616726144805721420273 absolute error = 1.182326893423864e-16 relative error = 5.4115853446858626350854542104362e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.177 Order of pole = 0.9048 x[1] = -0.625 y[1] (analytic) = 2.1842479289034925315749812292906 y[1] (numeric) = 2.1842479289034924128618390238388 absolute error = 1.187131422054518e-16 relative error = 5.4349664538790069071132283976333e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.177 Order of pole = 0.9047 x[1] = -0.624 y[1] (analytic) = 2.1836896892464465779198726443686 y[1] (numeric) = 2.1836896892464464587258229850293 absolute error = 1.191940496593393e-16 relative error = 5.4583785528827174329579516060921e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=343.3MB, alloc=4.5MB, time=35.64 Complex estimate of poles used Radius of convergence = 1.176 Order of pole = 0.9047 x[1] = -0.623 y[1] (analytic) = 2.1831321693369812043503920130024 y[1] (numeric) = 2.1831321693369810846749882554043 absolute error = 1.196754037575981e-16 relative error = 5.4818212767183768543231235793474e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.176 Order of pole = 0.9046 x[1] = -0.622 y[1] (analytic) = 2.1825753698216681167376813172799 y[1] (numeric) = 2.1825753698216679965804848271754 absolute error = 1.201571964901045e-16 relative error = 5.5052942570282095196414995397141e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.175 Order of pole = 0.9045 x[1] = -0.621 y[1] (analytic) = 2.1820192913472019351781105648028 y[1] (numeric) = 2.1820192913472018145386907818771 absolute error = 1.206394197829257e-16 relative error = 5.5287971220658474645958432018217e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.175 Order of pole = 0.9044 x[1] = -0.62 y[1] (analytic) = 2.1814639345603977250404494378687 y[1] (numeric) = 2.1814639345603976039183839396817 absolute error = 1.211220654981870e-16 relative error = 5.5523294966870569318253004184010e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=347.1MB, alloc=4.5MB, time=36.02 Complex estimate of poles used Radius of convergence = 1.174 Order of pole = 0.9044 x[1] = -0.619 y[1] (analytic) = 2.1809093001081885180947786919144 y[1] (numeric) = 2.1809093001081883964896532579723 absolute error = 1.216051254339421e-16 relative error = 5.5758910023406120627752648834394e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.174 Order of pole = 0.9043 x[1] = -0.618 y[1] (analytic) = 2.1803553886376228237144188804984 y[1] (numeric) = 2.1803553886376227016258275564542 absolute error = 1.220885913240442e-16 relative error = 5.5994812570592106379760244405726e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.173 Order of pole = 0.9043 x[1] = -0.617 y[1] (analytic) = 2.1798022007958621301423224520481 y[1] (numeric) = 2.1798022007958620075698676140282 absolute error = 1.225724548380199e-16 relative error = 5.6230998754505237929941157331186e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.173 Order of pole = 0.9042 x[1] = -0.616 y[1] (analytic) = 2.1792497372301783958135450517094 y[1] (numeric) = 2.1792497372301782727568374707637 absolute error = 1.230567075809457e-16 relative error = 5.6467464686883708713149246509773e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=350.9MB, alloc=4.5MB, time=36.40 Complex estimate of poles used Radius of convergence = 1.172 Order of pole = 0.9042 x[1] = -0.615 y[1] (analytic) = 2.1786979985879515307255829725198 y[1] (numeric) = 2.1786979985879514071842418791927 absolute error = 1.235413410933271e-16 relative error = 5.6704206445040197361974694568364e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.172 Order of pole = 0.9041 x[1] = -0.614 y[1] (analytic) = 2.1781469855166668678485361363345 y[1] (numeric) = 2.1781469855166667438221892853558 absolute error = 1.240263468509787e-16 relative error = 5.6941220071775394062325692471232e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.171 Order of pole = 0.9041 x[1] = -0.613 y[1] (analytic) = 2.1775966986639126245672297489764 y[1] (numeric) = 2.1775966986639125000555134840671 absolute error = 1.245117162649093e-16 relative error = 5.7178501575293888946889445330480e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.171 Order of pole = 0.904 x[1] = -0.612 y[1] (analytic) = 2.1770471386773773541476028683909 y[1] (numeric) = 2.1770471386773772291501621871847 absolute error = 1.249974406812062e-16 relative error = 5.7416046929119763526929317143072e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.17 Order of pole = 0.904 x[1] = -0.611 y[1] (analytic) = 2.1764983062048473872198485516095 y[1] (numeric) = 2.1764983062048472617363371706843 absolute error = 1.254835113809252e-16 relative error = 5.7653852072014872057469040713854e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=354.7MB, alloc=4.5MB, time=36.79 Complex estimate of poles used Radius of convergence = 1.17 Order of pole = 0.9039 x[1] = -0.61 y[1] (analytic) = 2.1759502018942042632709680083622 y[1] (numeric) = 2.1759502018942041373010484283816 absolute error = 1.259699195799806e-16 relative error = 5.7891912907897199008023962557742e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.169 Order of pole = 0.9039 x[1] = -0.609 y[1] (analytic) = 2.1754028263934221521395802885898 y[1] (numeric) = 2.1754028263934220256829238595506 absolute error = 1.264566564290392e-16 relative error = 5.8130225305761132469839295704671e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.168 Order of pole = 0.9038 x[1] = -0.608 y[1] (analytic) = 2.1748561803505652655060094700969 y[1] (numeric) = 2.1748561803505651385622964566804 absolute error = 1.269437130134165e-16 relative error = 5.8368785099598830187610808675699e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.168 Order of pole = 0.9038 x[1] = -0.607 y[1] (analytic) = 2.1743102644137852583708530933841 y[1] (numeric) = 2.1743102644137851309397727404087 absolute error = 1.274310803529754e-16 relative error = 5.8607588088322819056692274433840e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=358.5MB, alloc=4.5MB, time=37.18 Complex estimate of poles used Radius of convergence = 1.167 Order of pole = 0.9038 x[1] = -0.606 y[1] (analytic) = 2.1737650792313186205154187154371 y[1] (numeric) = 2.17376507923131849259666931341 absolute error = 1.279187494020271e-16 relative error = 5.8846630035689693181497215028283e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.167 Order of pole = 0.9037 x[1] = -0.605 y[1] (analytic) = 2.1732206254514840579375999250317 y[1] (numeric) = 2.1732206254514839295308888757956 absolute error = 1.284067110492361e-16 relative error = 5.9085906670225787632401178149719e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.166 Order of pole = 0.9037 x[1] = -0.604 y[1] (analytic) = 2.1726769037226798642569489809638 y[1] (numeric) = 2.1726769037226797353619928634377 absolute error = 1.288949561175261e-16 relative error = 5.9325413685153359450531254062625e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.166 Order of pole = 0.9037 x[1] = -0.603 y[1] (analytic) = 2.1721339146933812820828904035374 y[1] (numeric) = 2.1721339146933811526994150395472 absolute error = 1.293834753639902e-16 relative error = 5.9565146738318842982315768528745e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=362.4MB, alloc=4.5MB, time=37.56 Complex estimate of poles used Radius of convergence = 1.165 Order of pole = 0.9037 x[1] = -0.602 y[1] (analytic) = 2.1715916590121378543402083705442 y[1] (numeric) = 2.1715916590121377244679488907421 absolute error = 1.298722594798021e-16 relative error = 5.9805101452121664457808070412798e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.165 Order of pole = 0.9037 x[1] = -0.601 y[1] (analytic) = 2.1710501373275707655461306437476 y[1] (numeric) = 2.1710501373275706351848315536152 absolute error = 1.303612990901324e-16 relative error = 6.0045273413445506173739243514103e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.164 Order of pole = 0.9036 x[1] = -0.6 y[1] (analytic) = 2.1705093502883701730335229823257 y[1] (numeric) = 2.1705093502883700421829382282599 absolute error = 1.308505847540658e-16 relative error = 6.0285658173590090418657724990422e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.164 Order of pole = 0.9036 x[1] = -0.599 y[1] (analytic) = 2.1699692985432925281149005876252 y[1] (numeric) = 2.1699692985432923967747936231037 absolute error = 1.313401069645215e-16 relative error = 6.0526251248204544846995939171955e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=366.2MB, alloc=4.5MB, time=37.94 Complex estimate of poles used Radius of convergence = 1.163 Order of pole = 0.9036 x[1] = -0.598 y[1] (analytic) = 2.1694299827411578871821570706049 y[1] (numeric) = 2.1694299827411577553523009224276 absolute error = 1.318298561481773e-16 relative error = 6.0767048117222583405387284031848e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.163 Order of pole = 0.9036 x[1] = -0.597 y[1] (analytic) = 2.1688914035308472127371067411593 y[1] (numeric) = 2.1688914035308470804172840757633 absolute error = 1.323198226653960e-16 relative error = 6.1008044224798861341940310384831e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.162 Order of pole = 0.9036 x[1] = -0.596 y[1] (analytic) = 2.168353561561299664348132688693 y[1] (numeric) = 2.1683535615612995315381358785385 absolute error = 1.328099968101545e-16 relative error = 6.1249234979246691662831144788028e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.162 Order of pole = 0.9036 x[1] = -0.595 y[1] (analytic) = 2.1678164574815098795284311573881 y[1] (numeric) = 2.1678164574815097462280623474113 absolute error = 1.333003688099768e-16 relative error = 6.1490615752977679796557917846181e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=370.0MB, alloc=4.5MB, time=38.35 Complex estimate of poles used Radius of convergence = 1.161 Order of pole = 0.9036 x[1] = -0.594 y[1] (analytic) = 2.1672800919405252445315421190246 y[1] (numeric) = 2.167280091940525110740613293156 absolute error = 1.337909288258686e-16 relative error = 6.1732181882442219388961478502084e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.161 Order of pole = 0.9036 x[1] = -0.593 y[1] (analytic) = 2.1667444655874431550600567124011 y[1] (numeric) = 2.1667444655874430207783897601443 absolute error = 1.342816669522568e-16 relative error = 6.1973928668072374566680001236705e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.16 Order of pole = 0.9036 x[1] = -0.592 y[1] (analytic) = 2.1662095790714082668835943526707 y[1] (numeric) = 2.1662095790714081321110211357411 absolute error = 1.347725732169296e-16 relative error = 6.2215851374225168579904654136555e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.16 Order of pole = 0.9036 x[1] = -0.591 y[1] (analytic) = 2.1656754330416097363623458175694 y[1] (numeric) = 2.1656754330416096010987082365869 absolute error = 1.352636375809825e-16 relative error = 6.2457945229128727603422982037702e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.159 Order of pole = 0.9037 x[1] = -0.59 y[1] (analytic) = 2.1651420281472784508726834917483 y[1] (numeric) = 2.1651420281472783151178335529831 absolute error = 1.357548499387652e-16 relative error = 6.2700205424828976104302088158808e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=373.8MB, alloc=4.5MB, time=38.73 Complex estimate of poles used Radius of convergence = 1.159 Order of pole = 0.9037 x[1] = -0.589 y[1] (analytic) = 2.1646093650376842491315461964151 y[1] (numeric) = 2.1646093650376841128853460785826 absolute error = 1.362462001178325e-16 relative error = 6.2942627117138317637613909279686e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.158 Order of pole = 0.9037 x[1] = -0.588 y[1] (analytic) = 2.164077444362133131416513650306 y[1] (numeric) = 2.1640774443621329946788357714071 absolute error = 1.367376778788989e-16 relative error = 6.3185205425586166638145872846081e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.158 Order of pole = 0.9037 x[1] = -0.587 y[1] (analytic) = 2.1635462667699644596786946006802 y[1] (numeric) = 2.1635462667699643224494216848848 absolute error = 1.372292729157954e-16 relative error = 6.3427935433370641848575863037106e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.157 Order of pole = 0.9037 x[1] = -0.586 y[1] (analytic) = 2.1630158329105481475457630305177 y[1] (numeric) = 2.1630158329105480098247881750877 absolute error = 1.377209748554300e-16 relative error = 6.3670812187312117607333703042043e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=377.6MB, alloc=4.5MB, time=39.12 Complex estimate of poles used Radius of convergence = 1.157 Order of pole = 0.9038 x[1] = -0.585 y[1] (analytic) = 2.1624861434332818402126885912867 y[1] (numeric) = 2.1624861434332817019999153335347 absolute error = 1.382127732577520e-16 relative error = 6.3913830697808683170004122044111e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.156 Order of pole = 0.9038 x[1] = -0.584 y[1] (analytic) = 2.1619571989875880842179205303624 y[1] (numeric) = 2.1619571989875879455132629146439 absolute error = 1.387046576157185e-16 relative error = 6.4156985938792773994368217208166e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.156 Order of pole = 0.9038 x[1] = -0.583 y[1] (analytic) = 2.1614290002229114871029988791851 y[1] (numeric) = 2.1614290002229113479063815239193 absolute error = 1.391966173552658e-16 relative error = 6.4400272847690226886787625726671e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.155 Order of pole = 0.9039 x[1] = -0.582 y[1] (analytic) = 2.1609015477887158669537825432155 y[1] (numeric) = 2.1609015477887157272651407079336 absolute error = 1.396886418352819e-16 relative error = 6.4643686325380005337554386861134e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=381.4MB, alloc=4.5MB, time=39.50 Complex estimate of poles used Radius of convergence = 1.155 Order of pole = 0.9039 x[1] = -0.581 y[1] (analytic) = 2.1603748423344813918217011883262 y[1] (numeric) = 2.160374842334481251640980840741 absolute error = 1.401807203475852e-16 relative error = 6.4887221236156957584811374384524e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.154 Order of pole = 0.904 x[1] = -0.58 y[1] (analytic) = 2.1598488845097017090236564509783 y[1] (numeric) = 2.1598488845097015683508143340741 absolute error = 1.406728421169042e-16 relative error = 6.5130872407695205690879271541650e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.154 Order of pole = 0.904 x[1] = -0.579 y[1] (analytic) = 2.1593236749638810643194180118871 y[1] (numeric) = 2.159323674963880923154421711025 absolute error = 1.411649963008621e-16 relative error = 6.5374634631013973494908835981750e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.153 Order of pole = 0.9041 x[1] = -0.578 y[1] (analytic) = 2.1587992143465314109655814652628 y[1] (numeric) = 2.1587992143465312693084094752985 absolute error = 1.416571719899643e-16 relative error = 6.5618502660444931812740254501665e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=385.2MB, alloc=4.5MB, time=39.88 Complex estimate of poles used Radius of convergence = 1.153 Order of pole = 0.9041 x[1] = -0.577 y[1] (analytic) = 2.1582755033071695086453776884786 y[1] (numeric) = 2.1582755033071693664960194808886 absolute error = 1.421493582075900e-16 relative error = 6.5862471213601620107508424059730e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.152 Order of pole = 0.9042 x[1] = -0.576 y[1] (analytic) = 2.1577525424953140122738475704294 y[1] (numeric) = 2.1577525424953138696323036604431 absolute error = 1.426415439099863e-16 relative error = 6.6106534971350207277762581259334e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.152 Order of pole = 0.9042 x[1] = -0.575 y[1] (analytic) = 2.157230332560482550678121491097 y[1] (numeric) = 2.1572303325604824075444035048299 absolute error = 1.431337179862671e-16 relative error = 6.6350688577782660635551768770291e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.151 Order of pole = 0.9043 x[1] = -0.574 y[1] (analytic) = 2.156708874152188795152769860052 y[1] (numeric) = 2.1567088741521886515269006016373 absolute error = 1.436258692584147e-16 relative error = 6.6594926640191354056320436707099e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=389.1MB, alloc=4.5MB, time=40.27 Complex estimate of poles used Radius of convergence = 1.151 Order of pole = 0.9044 x[1] = -0.573 y[1] (analytic) = 2.1561881679199395178904193178505 y[1] (numeric) = 2.1561881679199393737724328365646 absolute error = 1.441179864812859e-16 relative error = 6.6839243729045953134451661794983e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.15 Order of pole = 0.9044 x[1] = -0.572 y[1] (analytic) = 2.1556682145132316402880588814933 y[1] (numeric) = 2.1556682145132314956780005388721 absolute error = 1.446100583426212e-16 relative error = 6.7083634377971932322470589908112e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.15 Order of pole = 0.9045 x[1] = -0.571 y[1] (analytic) = 2.1551490145815492711296913732095 y[1] (numeric) = 2.1551490145815491260276179101522 absolute error = 1.451020734630573e-16 relative error = 6.7328093083730820174555376113612e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.149 Order of pole = 0.9045 x[1] = -0.57 y[1] (analytic) = 2.1546305687743607346462179106298 y[1] (numeric) = 2.1546305687743605890521975144849 absolute error = 1.455940203961449e-16 relative error = 6.7572614306203104394035047262733e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.149 Order of pole = 0.9046 x[1] = -0.569 y[1] (analytic) = 2.1541128777411155884536770556608 y[1] (numeric) = 2.1541128777411154423677894272925 absolute error = 1.460858876283683e-16 relative error = 6.7817192468372176903581120233482e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=392.9MB, alloc=4.5MB, time=40.65 Complex estimate of poles used Radius of convergence = 1.148 Order of pole = 0.9047 x[1] = -0.568 y[1] (analytic) = 2.1535959421312416313711954187517 y[1] (numeric) = 2.1535959421312414847935318395811 absolute error = 1.465776635791706e-16 relative error = 6.8061821956311085699639512910692e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.148 Order of pole = 0.9048 x[1] = -0.567 y[1] (analytic) = 2.1530797625941419011202430943256 y[1] (numeric) = 2.1530797625941417540509064933441 absolute error = 1.470693366009815e-16 relative error = 6.8306497119170705364119951723042e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.147 Order of pole = 0.9048 x[1] = -0.566 y[1] (analytic) = 2.1525643397791916619070252614625 y[1] (numeric) = 2.1525643397791915143461302822131 absolute error = 1.475608949792494e-16 relative error = 6.8551212269170118861773113653962e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.147 Order of pole = 0.9049 x[1] = -0.565 y[1] (analytic) = 2.1520496743357353818900806208931 y[1] (numeric) = 2.1520496743357352338377536884152 absolute error = 1.480523269324779e-16 relative error = 6.8795961681589261276659674534671e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=396.7MB, alloc=4.5MB, time=41.05 Complex estimate of poles used Radius of convergence = 1.146 Order of pole = 0.905 x[1] = -0.564 y[1] (analytic) = 2.151535766913083700535398054347 y[1] (numeric) = 2.1515357669130835519917774420816 absolute error = 1.485436206122654e-16 relative error = 6.9040739594763225517819635339746e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.146 Order of pole = 0.9051 x[1] = -0.563 y[1] (analytic) = 2.151022618160510385861604984576 y[1] (numeric) = 2.151022618160510236826840881227 absolute error = 1.490347641033490e-16 relative error = 6.9285540210078791094446086181066e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.145 Order of pole = 0.9052 x[1] = -0.562 y[1] (analytic) = 2.1505102287272492815780243831312 y[1] (numeric) = 2.1505102287272491320522789594785 absolute error = 1.495257454236527e-16 relative error = 6.9530357691973180106469804328916e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.145 Order of pole = 0.9052 x[1] = -0.561 y[1] (analytic) = 2.1499985992624912441186422173205 y[1] (numeric) = 2.1499985992624910941020896929812 absolute error = 1.500165525243393e-16 relative error = 6.9775186167934765511988562783708e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=400.5MB, alloc=4.5MB, time=41.43 Complex estimate of poles used Radius of convergence = 1.144 Order of pole = 0.9053 x[1] = -0.56 y[1] (analytic) = 2.1494877304153810695752733467508 y[1] (numeric) = 2.1494877304153809190681000568844 absolute error = 1.505071732898664e-16 relative error = 7.0020019728505921414816110395340e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.144 Order of pole = 0.9054 x[1] = -0.559 y[1] (analytic) = 2.1489776228350144105334614724012 y[1] (numeric) = 2.1489776228350142595358659343546 absolute error = 1.509975955380466e-16 relative error = 7.0264852427288065854604509304873e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.143 Order of pole = 0.9055 x[1] = -0.558 y[1] (analytic) = 2.1484682771704346828148977061518 y[1] (numeric) = 2.1484682771704345313270906860401 absolute error = 1.514878070201117e-16 relative error = 7.0509678280948807021555109665860e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.143 Order of pole = 0.9056 x[1] = -0.557 y[1] (analytic) = 2.1479596940706299621303926648814 y[1] (numeric) = 2.1479596940706298101525972441 absolute error = 1.519777954207814e-16 relative error = 7.0754491269231429517270534823670e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=404.3MB, alloc=4.5MB, time=41.81 Complex estimate of poles used Radius of convergence = 1.142 Order of pole = 0.9057 x[1] = -0.556 y[1] (analytic) = 2.1474518741845298706476886993429 y[1] (numeric) = 2.1474518741845297181801403410075 absolute error = 1.524675483583354e-16 relative error = 7.0999285334966212640283990622374e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.142 Order of pole = 0.9058 x[1] = -0.555 y[1] (analytic) = 2.1469448181610024534786519426378 y[1] (numeric) = 2.1469448181610023005215985579469 absolute error = 1.529570533846909e-16 relative error = 7.1244054384084515603230508273002e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.141 Order of pole = 0.9058 x[1] = -0.554 y[1] (analytic) = 2.1464385266488510450906383047564 y[1] (numeric) = 2.1464385266488508916443403192734 absolute error = 1.534462979854830e-16 relative error = 7.1488792285634469837688010644635e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.141 Order of pole = 0.9059 x[1] = -0.553 y[1] (analytic) = 2.145933000296811125647083346779 y[1] (numeric) = 2.145933000296810971711813766628 absolute error = 1.539352695801510e-16 relative error = 7.1733492871799679316234061251622e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.14 Order of pole = 0.906 memory used=408.1MB, alloc=4.5MB, time=42.20 x[1] = -0.552 y[1] (analytic) = 2.1454282397535471672826231392722 y[1] (numeric) = 2.1454282397535470128586676172453 absolute error = 1.544239555220269e-16 relative error = 7.1978149937919209521524836746458e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.14 Order of pole = 0.9061 x[1] = -0.551 y[1] (analytic) = 2.1449242456676494703183117424525 y[1] (numeric) = 2.1449242456676493154059686440222 absolute error = 1.549123430984303e-16 relative error = 7.2222757242510825542983050272891e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.14 Order of pole = 0.9062 x[1] = -0.55 y[1] (analytic) = 2.1444210186876309894227608389685 y[1] (numeric) = 2.1444210186876308340223413082019 absolute error = 1.554004195307666e-16 relative error = 7.2467308507296039266074555263174e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.139 Order of pole = 0.9063 x[1] = -0.549 y[1] (analytic) = 2.1439185594619241497252883017828 y[1] (numeric) = 2.1439185594619239938371163271531 absolute error = 1.558881719746297e-16 relative error = 7.2711797417227528558863396574925e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.139 Order of pole = 0.9064 x[1] = -0.548 y[1] (analytic) = 2.1434168686388776528874250875921 y[1] (numeric) = 2.1434168686388774965118375676828 absolute error = 1.563755875199093e-16 relative error = 7.2956217620518979196098511686007e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=412.0MB, alloc=4.5MB, time=42.59 Complex estimate of poles used Radius of convergence = 1.138 Order of pole = 0.9065 x[1] = -0.547 y[1] (analytic) = 2.1429159468667532731393938084165 y[1] (numeric) = 2.142915946866753116276740617514 absolute error = 1.568626531909025e-16 relative error = 7.3200562728677213669524632336857e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.138 Order of pole = 0.9066 x[1] = -0.546 y[1] (analytic) = 2.1424157947937226432884376482321 y[1] (numeric) = 2.142415794793722485939081701802 absolute error = 1.573493559464301e-16 relative error = 7.3444826316536797487863462564457e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.137 Order of pole = 0.9066 x[1] = -0.545 y[1] (analytic) = 2.1419164130678640307061449555278 y[1] (numeric) = 2.1419164130678638728704622755704 absolute error = 1.578356826799574e-16 relative error = 7.3689001922297033778245789764838e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.137 Order of pole = 0.9067 x[1] = -0.544 y[1] (analytic) = 2.1414178023371591033021828540713 y[1] (numeric) = 2.1414178023371589449805626343519 absolute error = 1.583216202197194e-16 relative error = 7.3933083047561303506581390849299e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=415.8MB, alloc=4.5MB, time=42.97 Complex estimate of poles used Radius of convergence = 1.136 Order of pole = 0.9068 x[1] = -0.543 y[1] (analytic) = 2.1409199632494896854921225705031 y[1] (numeric) = 2.140919963249489526684967241653 absolute error = 1.588071553288501e-16 relative error = 7.4177063157378615111795422544080e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.136 Order of pole = 0.9069 x[1] = -0.542 y[1] (analytic) = 2.1404228964526345041673098760844 y[1] (numeric) = 2.1404228964526343448750351705662 absolute error = 1.592922747055182e-16 relative error = 7.4420935680288441784022749983423e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.135 Order of pole = 0.907 x[1] = -0.541 y[1] (analytic) = 2.1399266025942659246750060783417 y[1] (numeric) = 2.1399266025942657648980410952766 absolute error = 1.597769649830651e-16 relative error = 7.4664694008366935836868220235660e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.135 Order of pole = 0.9071 x[1] = -0.54 y[1] (analytic) = 2.1394310823219466768172983737531 y[1] (numeric) = 2.1394310823219465165560856436043 absolute error = 1.602612127301488e-16 relative error = 7.4908331497276205136727729932576e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=419.6MB, alloc=4.5MB, time=43.35 Complex estimate of poles used Radius of convergence = 1.134 Order of pole = 0.9071 x[1] = -0.539 y[1] (analytic) = 2.1389363362831265708775530821397 y[1] (numeric) = 2.1389363362831264101325486312464 absolute error = 1.607450044508933e-16 relative error = 7.5151841466316469566258430858671e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.134 Order of pole = 0.9072 x[1] = -0.538 y[1] (analytic) = 2.1384423651251392036834613241324 y[1] (numeric) = 2.1384423651251390424551347390919 absolute error = 1.612283265850405e-16 relative error = 7.5395217198479699291891199807581e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.133 Order of pole = 0.9073 x[1] = -0.537 y[1] (analytic) = 2.1379491694951986547160040719571 y[1] (numeric) = 2.1379491694951984930048385638477 absolute error = 1.617111655081094e-16 relative error = 7.5638451940506982350177575562675e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.133 Order of pole = 0.9074 x[1] = -0.536 y[1] (analytic) = 2.1374567500403961722739421976562 y[1] (numeric) = 2.1374567500403960100804346660986 absolute error = 1.621935075315576e-16 relative error = 7.5881538902947288305162055094721e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=423.4MB, alloc=4.5MB, time=43.74 Complex estimate of poles used Radius of convergence = 1.132 Order of pole = 0.9075 x[1] = -0.535 y[1] (analytic) = 2.1369651074076968497037171585472 y[1] (numeric) = 2.1369651074076966870283782555969 absolute error = 1.626753389029503e-16 relative error = 7.6124471260220063519196771070859e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.132 Order of pole = 0.9075 x[1] = -0.534 y[1] (analytic) = 2.1364742422439362917049292938458 y[1] (numeric) = 2.1364742422439361285482834877144 absolute error = 1.631566458061314e-16 relative error = 7.6367242150679136595006494913643e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.132 Order of pole = 0.9076 x[1] = -0.533 y[1] (analytic) = 2.1359841551958172707218433555575 y[1] (numeric) = 2.135984155195817107084428994156 absolute error = 1.636374143614015e-16 relative error = 7.6609844676680183194050026327881e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.131 Order of pole = 0.9077 x[1] = -0.532 y[1] (analytic) = 2.1354948469099063734316548574092 y[1] (numeric) = 2.135494846909906209314024231709 absolute error = 1.641176306257002e-16 relative error = 7.6852271904650538304907700249214e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.131 Order of pole = 0.9077 x[1] = -0.531 y[1] (analytic) = 2.1350063180326306373405360941455 y[1] (numeric) = 2.1350063180326304727432555013529 absolute error = 1.645972805927926e-16 relative error = 7.7094516865161312735388859680364e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=427.2MB, alloc=4.5MB, time=44.12 Complex estimate of poles used Radius of convergence = 1.13 Order of pole = 0.9078 x[1] = -0.53 y[1] (analytic) = 2.1345185692102741774987672562182 y[1] (numeric) = 2.1345185692102740124224170627561 absolute error = 1.650763501934621e-16 relative error = 7.7336572553002801174433632676807e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.13 Order of pole = 0.9079 x[1] = -0.529 y[1] (analytic) = 2.1340316010889748033465459379138 y[1] (numeric) = 2.1340316010889746377917206422068 absolute error = 1.655548252957070e-16 relative error = 7.7578431927262015402244486910992e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.129 Order of pole = 0.9079 x[1] = -0.528 y[1] (analytic) = 2.1335454143147206257023575063774 y[1] (numeric) = 2.1335454143147204596696658014348 absolute error = 1.660326917049426e-16 relative error = 7.7820087911403142619166547272946e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.129 Order of pole = 0.908 x[1] = -0.527 y[1] (analytic) = 2.1330600095333466539060792607528 y[1] (numeric) = 2.133060009533346487396144096544 absolute error = 1.665099351642088e-16 relative error = 7.8061533393350933319137863406230e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=431.0MB, alloc=4.5MB, time=44.51 Complex estimate of poles used Radius of convergence = 1.128 Order of pole = 0.9081 x[1] = -0.526 y[1] (analytic) = 2.132575387390531383129283060638 y[1] (numeric) = 2.1325753873905312161427417062566 absolute error = 1.669865413543814e-16 relative error = 7.8302761225576179059471504250461e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.128 Order of pole = 0.9081 x[1] = -0.525 y[1] (analytic) = 2.1320915485317933718654941370177 y[1] (numeric) = 2.1320915485317932044029982426272 absolute error = 1.674624958943905e-16 relative error = 7.8543764225184877841690390340662e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.127 Order of pole = 0.9082 x[1] = -0.524 y[1] (analytic) = 2.1316084936024878096134581124168 y[1] (numeric) = 2.1316084936024876416756737709747 absolute error = 1.679377843414421e-16 relative error = 7.8784535174009263046972065674558e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.127 Order of pole = 0.9082 x[1] = -0.523 y[1] (analytic) = 2.1311262232478030747667638457964 y[1] (numeric) = 2.1311262232478029063543716545508 absolute error = 1.684123921912456e-16 relative error = 7.9025066818701965481223722014933e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=434.8MB, alloc=4.5MB, time=44.88 Complex estimate of poles used Radius of convergence = 1.126 Order of pole = 0.9083 x[1] = -0.522 y[1] (analytic) = 2.1306447381127572827234665771104 y[1] (numeric) = 2.1306447381127571138371616988629 absolute error = 1.688863048782475e-16 relative error = 7.9265351870833453938732310547096e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.126 Order of pole = 0.9083 x[1] = -0.521 y[1] (analytic) = 2.1301640388421948242296539718041 y[1] (numeric) = 2.1301640388421946548701461959359 absolute error = 1.693595077758682e-16 relative error = 7.9505383006991303799822969849337e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.125 Order of pole = 0.9083 x[1] = -0.52 y[1] (analytic) = 2.1296841260807828939711970521085 y[1] (numeric) = 2.1296841260807827241392108553628 absolute error = 1.698319861967457e-16 relative error = 7.9745152868883080443769114000899e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.125 Order of pole = 0.9084 x[1] = -0.519 y[1] (analytic) = 2.1292050004730080094282286448702 y[1] (numeric) = 2.1292050004730078391245032518861 absolute error = 1.703037253929841e-16 relative error = 7.9984654063441856465979503037877e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=438.7MB, alloc=4.5MB, time=45.27 Complex estimate of poles used Radius of convergence = 1.125 Order of pole = 0.9084 x[1] = -0.518 y[1] (analytic) = 2.1287266626631725200071938698958 y[1] (numeric) = 2.1287266626631723492324833134886 absolute error = 1.707747105564072e-16 relative error = 8.0223879162934507319457866609256e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.124 Order of pole = 0.9084 x[1] = -0.517 y[1] (analytic) = 2.1282491132953911064656203332826 y[1] (numeric) = 2.1282491132953909352206935144654 absolute error = 1.712449268188172e-16 relative error = 8.0462820705072789269187269043967e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.124 Order of pole = 0.9085 x[1] = -0.516 y[1] (analytic) = 2.1277723530135872706450600717577 y[1] (numeric) = 2.1277723530135870989307008194982 absolute error = 1.717143592522595e-16 relative error = 8.0701471193127673498558920018505e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.123 Order of pole = 0.9085 x[1] = -0.515 y[1] (analytic) = 2.1272963824614898155279609113472 y[1] (numeric) = 2.1272963824614896433449680420548 absolute error = 1.721829928692924e-16 relative error = 8.0939823096046376846862783575895e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.123 Order of pole = 0.9085 memory used=442.5MB, alloc=4.5MB, time=45.65 x[1] = -0.514 y[1] (analytic) = 2.1268212022826293156345317513335 y[1] (numeric) = 2.1268212022826291429837191280719 absolute error = 1.726508126232616e-16 relative error = 8.1177868848572045823839924589323e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.122 Order of pole = 0.9085 x[1] = -0.513 y[1] (analytic) = 2.1263468131203345777759743569044 y[1] (numeric) = 2.1263468131203344046581709483232 absolute error = 1.731178034085812e-16 relative error = 8.1415600851366896961212463354512e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.122 Order of pole = 0.9085 x[1] = -0.512 y[1] (analytic) = 2.1258732156177290921807635355105 y[1] (numeric) = 2.1258732156177289185968134744909 absolute error = 1.735839500610196e-16 relative error = 8.1653011471138065658402122280654e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.121 Order of pole = 0.9086 x[1] = -0.511 y[1] (analytic) = 2.125400410417727474010968076986 y[1] (numeric) = 2.1254004104177272999617307189957 absolute error = 1.740492373579903e-16 relative error = 8.1890093040766167108981405129230e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.121 Order of pole = 0.9086 x[1] = -0.51 y[1] (analytic) = 2.1249283981630318952859165500927 y[1] (numeric) = 2.1249283981630317207722665312433 absolute error = 1.745136500188494e-16 relative error = 8.2126837859437419956743762073694e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=446.3MB, alloc=4.5MB, time=46.04 Complex estimate of poles used Radius of convergence = 1.12 Order of pole = 0.9086 x[1] = -0.509 y[1] (analytic) = 2.1244571794961285072308249623369 y[1] (numeric) = 2.124457179496128332253652257139 absolute error = 1.749771727051979e-16 relative error = 8.2363238192778443186837215816689e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.12 Order of pole = 0.9086 x[1] = -0.508 y[1] (analytic) = 2.123986755059283853068317399612 y[1] (numeric) = 2.1239867550592836776285273784234 absolute error = 1.754397900211886e-16 relative error = 8.2599286272993635522479498227272e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.12 Order of pole = 0.9086 x[1] = -0.507 y[1] (analytic) = 2.1235171254945412712710860612359 y[1] (numeric) = 2.1235171254945410953695995473949 absolute error = 1.759014865138410e-16 relative error = 8.2834974299006741706621021482718e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.119 Order of pole = 0.9086 x[1] = -0.506 y[1] (analytic) = 2.1230482914437172892942535879536 y[1] (numeric) = 2.1230482914437171129320069145946 absolute error = 1.763622466733590e-16 relative error = 8.3070294436604162072597192113845e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=450.1MB, alloc=4.5MB, time=46.43 Complex estimate of poles used Radius of convergence = 1.119 Order of pole = 0.9086 x[1] = -0.505 y[1] (analytic) = 2.1225802535483980078063182390738 y[1] (numeric) = 2.1225802535483978309842633056179 absolute error = 1.768220549334559e-16 relative error = 8.3305238818582127359525563870585e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.118 Order of pole = 0.9085 x[1] = -0.504 y[1] (analytic) = 2.1221130124499354754378813035231 y[1] (numeric) = 2.1221130124499352981569856318383 absolute error = 1.772808956716848e-16 relative error = 8.3539799544896848582059180308372e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.118 Order of pole = 0.9085 x[1] = -0.503 y[1] (analytic) = 2.1216465687894440540676761216066 y[1] (numeric) = 2.1216465687894438763289229118324 absolute error = 1.777387532097742e-16 relative error = 8.3773968682817551418723372767525e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.117 Order of pole = 0.9085 x[1] = -0.502 y[1] (analytic) = 2.1211809232077967746657392428811 y[1] (numeric) = 2.1211809232077965964701274289118 absolute error = 1.781956118139693e-16 relative error = 8.4007738267082634394000077527297e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=453.9MB, alloc=4.5MB, time=46.83 Complex estimate of poles used Radius of convergence = 1.117 Order of pole = 0.9085 x[1] = -0.501 y[1] (analytic) = 2.12071607634562168371388654389 y[1] (numeric) = 2.1207160763456215050624308485107 absolute error = 1.786514556953793e-16 relative error = 8.4241100300059096207079057490367e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.116 Order of pole = 0.9085 x[1] = -0.5 y[1] (analytic) = 2.1202520288432981802239805705757 y[1] (numeric) = 2.1202520288432980011177115602453 absolute error = 1.791062690103304e-16 relative error = 8.4474046751905094792798366722362e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.116 Order of pole = 0.9084 x[1] = -0.499 y[1] (analytic) = 2.1197887813409533433747999468617 y[1] (numeric) = 2.1197887813409531638147640861378 absolute error = 1.795600358607239e-16 relative error = 8.4706569560735358898220916697618e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.116 Order of pole = 0.9084 x[1] = -0.498 y[1] (analytic) = 2.1193263344784582507886473959441 y[1] (numeric) = 2.1193263344784580707759071015431 absolute error = 1.800127402944010e-16 relative error = 8.4938660632790210499646747533019e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=457.7MB, alloc=4.5MB, time=47.21 Complex estimate of poles used Radius of convergence = 1.115 Order of pole = 0.9084 x[1] = -0.497 y[1] (analytic) = 2.1188646888954242874691597468974 y[1] (numeric) = 2.118864688895424107004793441385 absolute error = 1.804643663055124e-16 relative error = 8.5170311842607305844537824963702e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.115 Order of pole = 0.9083 x[1] = -0.496 y[1] (analytic) = 2.1184038452311994454221112388153 y[1] (numeric) = 2.1184038452311992645072134039209 absolute error = 1.809148978348944e-16 relative error = 8.5401515033196900700544555835126e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.114 Order of pole = 0.9083 x[1] = -0.495 y[1] (analytic) = 2.1179438041248646139813304802786 y[1] (numeric) = 2.1179438041248644326170117098283 absolute error = 1.813643187704503e-16 relative error = 8.5632262016220077508249379164067e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.114 Order of pole = 0.9082 x[1] = -0.494 y[1] (analytic) = 2.1174845662152298608621815657681 y[1] (numeric) = 2.1174845662152296790495686182299 absolute error = 1.818126129475382e-16 relative error = 8.5862544572170457311592461192288e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.113 Order of pole = 0.9082 x[1] = -0.493 y[1] (analytic) = 2.117026132140830703965391084888 y[1] (numeric) = 2.1170261321408305217056269355241 absolute error = 1.822597641493639e-16 relative error = 8.6092354450558786544392941808306e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=461.5MB, alloc=4.5MB, time=47.60 Complex estimate of poles used Radius of convergence = 1.113 Order of pole = 0.9081 x[1] = -0.492 y[1] (analytic) = 2.1165685025399243739543350769907 y[1] (numeric) = 2.1165685025399241912485789696108 absolute error = 1.827057561073799e-16 relative error = 8.6321683370100874319688779031645e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.112 Order of pole = 0.9081 x[1] = -0.491 y[1] (analytic) = 2.1161116780504860676292333749314 y[1] (numeric) = 2.1161116780504858844786608732404 absolute error = 1.831505725016910e-16 relative error = 8.6550523018909120372767884786789e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.112 Order of pole = 0.908 x[1] = -0.49 y[1] (analytic) = 2.1156556593102051921220332390388 y[1] (numeric) = 2.1156556593102050085278362775742 absolute error = 1.835941969614646e-16 relative error = 8.6778865054686739782723263759205e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.112 Order of pole = 0.908 x[1] = -0.489 y[1] (analytic) = 2.115200446956481599936099697667 y[1] (numeric) = 2.1152004469564814158994866323192 absolute error = 1.840366130653478e-16 relative error = 8.7006701104925680089421970617617e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=465.4MB, alloc=4.5MB, time=48.00 Complex estimate of poles used Radius of convergence = 1.111 Order of pole = 0.9079 x[1] = -0.488 y[1] (analytic) = 2.1147460416264218148551665754558 y[1] (numeric) = 2.1147460416264216303773622335662 absolute error = 1.844778043418896e-16 relative error = 8.7234022767107431194908023901592e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.111 Order of pole = 0.9078 x[1] = -0.487 y[1] (analytic) = 2.1142924439568352487463397961318 y[1] (numeric) = 2.1142924439568350638285855261611 absolute error = 1.849177542699707e-16 relative error = 8.7460821608907913502049700040474e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.11 Order of pole = 0.9078 x[1] = -0.486 y[1] (analytic) = 2.1138396545842304092822831846453 y[1] (numeric) = 2.1138396545842302239258369054089 absolute error = 1.853564462792364e-16 relative error = 8.7687089168404320229660656811638e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.11 Order of pole = 0.9077 x[1] = -0.485 y[1] (analytic) = 2.1133876741448110986080566548864 y[1] (numeric) = 2.1133876741448109128141929043479 absolute error = 1.857938637505385e-16 relative error = 8.7912816954286707169997790348163e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=469.2MB, alloc=4.5MB, time=48.39 Complex estimate of poles used Radius of convergence = 1.109 Order of pole = 0.9076 x[1] = -0.484 y[1] (analytic) = 2.1129365032744726029784173452134 y[1] (numeric) = 2.1129365032744724167484273288322 absolute error = 1.862299900163812e-16 relative error = 8.8137996446071969203015907874819e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.109 Order of pole = 0.9076 x[1] = -0.483 y[1] (analytic) = 2.1124861426087978733917359455457 y[1] (numeric) = 2.1124861426087976867269275841717 absolute error = 1.866648083613740e-16 relative error = 8.8362619094321625806931799360902e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.108 Order of pole = 0.9075 x[1] = -0.482 y[1] (analytic) = 2.1120365927830536972470231376417 y[1] (numeric) = 2.1120365927830535101487211149519 absolute error = 1.870983020226898e-16 relative error = 8.8586676320862567508074334322831e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.108 Order of pole = 0.9074 x[1] = -0.481 y[1] (analytic) = 2.1115878544321868610509047351251 y[1] (numeric) = 2.1115878544321866735204505445949 absolute error = 1.875304541905302e-16 relative error = 8.8810159519011713318961059032362e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=473.0MB, alloc=4.5MB, time=48.77 Complex estimate of poles used Radius of convergence = 1.108 Order of pole = 0.9073 x[1] = -0.48 y[1] (analytic) = 2.1111399281908203042017287524215 y[1] (numeric) = 2.1111399281908201162404807438265 absolute error = 1.879612480085950e-16 relative error = 8.9033060053803162400575134243607e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.107 Order of pole = 0.9073 x[1] = -0.479 y[1] (analytic) = 2.1106928146932492638783332425066 y[1] (numeric) = 2.1106928146932490754876666679465 absolute error = 1.883906665745601e-16 relative error = 8.9255369262219831938925286865143e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.107 Order of pole = 0.9072 x[1] = -0.478 y[1] (analytic) = 2.110246514573437411061350312562 y[1] (numeric) = 2.1102465145734372222426573720029 absolute error = 1.888186929405591e-16 relative error = 8.9477078453427359047556888617113e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.106 Order of pole = 0.9071 x[1] = -0.477 y[1] (analytic) = 2.1098010284650129777152692445399 y[1] (numeric) = 2.109801028465012788469959130867 absolute error = 1.892453101136729e-16 relative error = 8.9698178909012306505465986794183e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.106 Order of pole = 0.907 memory used=476.8MB, alloc=4.5MB, time=49.16 x[1] = -0.476 y[1] (analytic) = 2.1093563570012648751598301043115 y[1] (numeric) = 2.1093563570012646854893290478872 absolute error = 1.896705010564243e-16 relative error = 8.9918661883223254778935747591778e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.105 Order of pole = 0.9069 x[1] = -0.475 y[1] (analytic) = 2.1089125008151388036596686085119 y[1] (numeric) = 2.1089125008151386135654199212328 absolute error = 1.900942486872791e-16 relative error = 9.0138518603215494138386556586238e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.105 Order of pole = 0.9068 x[1] = -0.474 y[1] (analytic) = 2.1084694605392333532614833222267 y[1] (numeric) = 2.1084694605392331627449474410739 absolute error = 1.905165358811528e-16 relative error = 9.0357740269298893578214688744942e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.105 Order of pole = 0.9067 x[1] = -0.473 y[1] (analytic) = 2.1080272368057960959083474730168 y[1] (numeric) = 2.1080272368057959049710020030923 absolute error = 1.909373454699245e-16 relative error = 9.0576318055189708435709873739847e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.104 Order of pole = 0.9066 x[1] = -0.472 y[1] (analytic) = 2.1075858302467196688611397770322 y[1] (numeric) = 2.1075858302467194775044795340766 absolute error = 1.913566602429556e-16 relative error = 9.0794243108265191935661756429449e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=480.6MB, alloc=4.5MB, time=49.54 Complex estimate of poles used Radius of convergence = 1.104 Order of pole = 0.9066 x[1] = -0.471 y[1] (analytic) = 2.1071452414935378494574216706063 y[1] (numeric) = 2.1071452414935376576829587229905 absolute error = 1.917744629476158e-16 relative error = 9.1011506549822199361871470075886e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.103 Order of pole = 0.9065 x[1] = -0.47 y[1] (analytic) = 2.1067054711774216212384422150702 y[1] (numeric) = 2.1067054711774214290477059252558 absolute error = 1.921907362898144e-16 relative error = 9.1228099475338839469213826075249e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.103 Order of pole = 0.9064 x[1] = -0.469 y[1] (analytic) = 2.1062665199291752314753066828128 y[1] (numeric) = 2.1062665199291750388698437482745 absolute error = 1.926054629345383e-16 relative error = 9.1444012954739840355288231134041e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.102 Order of pole = 0.9063 x[1] = -0.468 y[1] (analytic) = 2.1058283883792322401257004279151 y[1] (numeric) = 2.1058283883792320471070749215192 absolute error = 1.930186255063959e-16 relative error = 9.1659238032665253362828897980441e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=484.4MB, alloc=4.5MB, time=49.93 Complex estimate of poles used Radius of convergence = 1.102 Order of pole = 0.9062 x[1] = -0.467 y[1] (analytic) = 2.1053910771576515602529160839712 y[1] (numeric) = 2.1053910771576513668227094938043 absolute error = 1.934302065901669e-16 relative error = 9.1873765728742497889171426046504e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.102 Order of pole = 0.9061 x[1] = -0.466 y[1] (analytic) = 2.1049545868941134899392894038127 y[1] (numeric) = 2.1049545868941132960991006724533 absolute error = 1.938401887313594e-16 relative error = 9.2087587037862415039052422701590e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.101 Order of pole = 0.906 x[1] = -0.465 y[1] (analytic) = 2.1045189182179157357265071494721 y[1] (numeric) = 2.1045189182179155414779527127004 absolute error = 1.942485544367717e-16 relative error = 9.2300692930458098448888738511497e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.101 Order of pole = 0.9059 x[1] = -0.464 y[1] (analytic) = 2.1040840717579694276156093444554 y[1] (numeric) = 2.1040840717579692329603231693942 absolute error = 1.946552861750612e-16 relative error = 9.2513074352787644855402377085149e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=488.2MB, alloc=4.6MB, time=50.31 Complex estimate of poles used Radius of convergence = 1.1 Order of pole = 0.9058 x[1] = -0.463 y[1] (analytic) = 2.1036500481427951256598679026775 y[1] (numeric) = 2.1036500481427949305995015253578 absolute error = 1.950603663773197e-16 relative error = 9.2724722227220495201770224760631e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.1 Order of pole = 0.9057 x[1] = -0.462 y[1] (analytic) = 2.1032168480005188181840841375831 y[1] (numeric) = 2.1032168480005186227203066999294 absolute error = 1.954637774376537e-16 relative error = 9.2935627452526703659483218522752e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.099 Order of pole = 0.9056 x[1] = -0.461 y[1] (analytic) = 2.1027844719588679116642089192329 y[1] (numeric) = 2.1027844719588677157987072054607 absolute error = 1.958655017137722e-16 relative error = 9.3145780904170325492234553572375e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.099 Order of pole = 0.9055 x[1] = -0.46 y[1] (analytic) = 2.1023529206451672123015512745366 y[1] (numeric) = 2.102352920645167016036029746956 absolute error = 1.962655215275806e-16 relative error = 9.3355173434606261541124713918146e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=492.1MB, alloc=4.6MB, time=50.69 Complex estimate of poles used Radius of convergence = 1.099 Order of pole = 0.9055 x[1] = -0.459 y[1] (analytic) = 2.1019221946863348993262040043166 y[1] (numeric) = 2.1019221946863347026623848385374 absolute error = 1.966638191657792e-16 relative error = 9.3563795873579848397818036983164e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.098 Order of pole = 0.9054 x[1] = -0.458 y[1] (analytic) = 2.1014922947088784900646784083076 y[1] (numeric) = 2.1014922947088782930043015278368 absolute error = 1.970603768804708e-16 relative error = 9.3771639028431337238410794873465e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.098 Order of pole = 0.9053 x[1] = -0.457 y[1] (analytic) = 2.1010632213388907968071044532002 y[1] (numeric) = 2.101063221338890599351927563429 absolute error = 1.974551768897712e-16 relative error = 9.3978693684402315095497121395009e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.097 Order of pole = 0.9052 x[1] = -0.456 y[1] (analytic) = 2.1006349752020458755097176770254 y[1] (numeric) = 2.1006349752020456776615162985964 absolute error = 1.978482013784290e-16 relative error = 9.4184950604947115666863514187303e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.097 Order of pole = 0.9051 x[1] = -0.455 y[1] (analytic) = 2.1002075569235949663687197829297 y[1] (numeric) = 2.1002075569235947681292872844805 absolute error = 1.982394324984492e-16 relative error = 9.4390400532046605585621664818403e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=495.9MB, alloc=4.6MB, time=51.08 Complex estimate of poles used Radius of convergence = 1.096 Order of pole = 0.905 x[1] = -0.454 y[1] (analytic) = 2.0997809671283624263019662240629 y[1] (numeric) = 2.0997809671283622276731138543382 absolute error = 1.986288523697247e-16 relative error = 9.4595034186526299671760022374240e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.096 Order of pole = 0.9049 x[1] = -0.453 y[1] (analytic) = 2.0993552064407416533753011060278 y[1] (numeric) = 2.099355206440741454358858025355 absolute error = 1.990164430806728e-16 relative error = 9.4798842268377427464540725576439e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.096 Order of pole = 0.9049 x[1] = -0.452 y[1] (analytic) = 2.098930275484691003210727421198 y[1] (numeric) = 2.098930275484690803808540732319 absolute error = 1.994021866888790e-16 relative error = 9.5001815457082048501714289140934e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.095 Order of pole = 0.9048 x[1] = -0.451 y[1] (analytic) = 2.0985061748837296974139689671006 y[1] (numeric) = 2.0985061748837294976279037453543 absolute error = 1.997860652217463e-16 relative error = 9.5203944411941361775673640998352e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=499.7MB, alloc=4.6MB, time=51.46 Complex estimate of poles used Radius of convergence = 1.095 Order of pole = 0.9047 x[1] = -0.45 y[1] (analytic) = 2.0980829052609337240593492757857 y[1] (numeric) = 2.0980829052609335238912885986352 absolute error = 2.001680606771505e-16 relative error = 9.5405219772407449604611816342719e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.094 Order of pole = 0.9046 x[1] = -0.449 y[1] (analytic) = 2.0976604672389317302702824793258 y[1] (numeric) = 2.0976604672389315297221274552228 absolute error = 2.005481550241030e-16 relative error = 9.5605632158419173223044177997258e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.094 Order of pole = 0.9045 x[1] = -0.448 y[1] (analytic) = 2.0972388614399009069340412448353 y[1] (numeric) = 2.0972388614399007060077110414172 absolute error = 2.009263302034181e-16 relative error = 9.5805172170740792826229799805605e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.094 Order of pole = 0.9045 x[1] = -0.447 y[1] (analytic) = 2.0968180884855628655898377170954 y[1] (numeric) = 2.0968180884855626642872695887076 absolute error = 2.013025681283878e-16 relative error = 9.6003830391304743937137057592652e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=503.5MB, alloc=4.6MB, time=51.84 Complex estimate of poles used Radius of convergence = 1.093 Order of pole = 0.9044 x[1] = -0.446 y[1] (analytic) = 2.096398148997179507529624794277 y[1] (numeric) = 2.0963981489971793058527741088144 absolute error = 2.016768506854626e-16 relative error = 9.6201597383557857683005611177586e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.093 Order of pole = 0.9043 x[1] = -0.445 y[1] (analytic) = 2.0959790435955488851513970185356 y[1] (numeric) = 2.095979043595548683102237283598 absolute error = 2.020491597349376e-16 relative error = 9.6398463692810693058746947231897e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.092 Order of pole = 0.9043 x[1] = -0.444 y[1] (analytic) = 2.0955607729010010556051428744351 y[1] (numeric) = 2.0955607729010008531856657627889 absolute error = 2.024194771116462e-16 relative error = 9.6594419846591080276556672266661e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.092 Order of pole = 0.9042 x[1] = -0.443 y[1] (analytic) = 2.0951433375333939267719733401248 y[1] (numeric) = 2.0951433375333937239841887144662 absolute error = 2.027877846256586e-16 relative error = 9.6789456355000541810033559226877e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=507.3MB, alloc=4.6MB, time=52.23 Complex estimate of poles used Radius of convergence = 1.092 Order of pole = 0.9042 x[1] = -0.442 y[1] (analytic) = 2.0947267381121090956173251147349 y[1] (numeric) = 2.0947267381121088924632610517473 absolute error = 2.031540640629876e-16 relative error = 9.6983563711074785728259594449950e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.091 Order of pole = 0.9041 x[1] = -0.441 y[1] (analytic) = 2.0943109752560476789595110361935 y[1] (numeric) = 2.0943109752560474754412138498935 absolute error = 2.035182971863000e-16 relative error = 9.7176732391147462340150873402019e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.091 Order of pole = 0.9041 x[1] = -0.44 y[1] (analytic) = 2.0938960495836261366952647921339 y[1] (numeric) = 2.0938960495836259328147990564994 absolute error = 2.038804657356345e-16 relative error = 9.7368952855217615538394843610030e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.09 Order of pole = 0.904 x[1] = -0.439 y[1] (analytic) = 2.0934819617127720875243020981276 y[1] (numeric) = 2.0934819617127718832837506690028 absolute error = 2.042405514291248e-16 relative error = 9.7560215547320209990104472155437e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.09 Order of pole = 0.904 x[1] = -0.438 y[1] (analytic) = 2.0930687122609201172152960574235 y[1] (numeric) = 2.0930687122609199126167600936928 absolute error = 2.045985359637307e-16 relative error = 9.7750510895901073141255965403078e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=511.1MB, alloc=4.6MB, time=52.62 Complex estimate of poles used Radius of convergence = 1.089 Order of pole = 0.9039 x[1] = -0.437 y[1] (analytic) = 2.0926563018450075794560404098093 y[1] (numeric) = 2.0926563018450073745016393938359 absolute error = 2.049544010159734e-16 relative error = 9.7939829314194439184628822003693e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.089 Order of pole = 0.9039 x[1] = -0.436 y[1] (analytic) = 2.0922447310814703893309508091728 y[1] (numeric) = 2.0922447310814701840228225664943 absolute error = 2.053081282426785e-16 relative error = 9.8128161200604768306455076998752e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.089 Order of pole = 0.9039 x[1] = -0.435 y[1] (analytic) = 2.0918340005862388094694311246779 y[1] (numeric) = 2.0918340005862386038097318429545 absolute error = 2.056596992817234e-16 relative error = 9.8315496939091266382529223710973e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.088 Order of pole = 0.9038 x[1] = -0.434 y[1] (analytic) = 2.0914241109747332289090090239693 y[1] (numeric) = 2.0914241109747330228999132711763 absolute error = 2.060090957527930e-16 relative error = 9.8501826899556970399828924676170e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=515.0MB, alloc=4.6MB, time=53.01 Complex estimate of poles used Radius of convergence = 1.088 Order of pole = 0.9038 x[1] = -0.433 y[1] (analytic) = 2.0910150628618599347175227530787 y[1] (numeric) = 2.0910150628618597283612234949391 absolute error = 2.063562992581396e-16 relative error = 9.8687141438240441867548421455450e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.087 Order of pole = 0.9038 x[1] = -0.432 y[1] (analytic) = 2.0906068568620068764190190612573 y[1] (numeric) = 2.0906068568620066697177276779079 absolute error = 2.067012913833494e-16 relative error = 9.8871430898111216509107373651669e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.087 Order of pole = 0.9037 x[1] = -0.431 y[1] (analytic) = 2.0901994935890394232684006141568 y[1] (numeric) = 2.0901994935890392162243469160404 absolute error = 2.070440536981164e-16 relative error = 9.9054685609269394802538694224684e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.087 Order of pole = 0.9037 x[1] = -0.43 y[1] (analytic) = 2.0897929736562961144202399798881 y[1] (numeric) = 2.0897929736562959070356722228684 absolute error = 2.073845677570197e-16 relative error = 9.9236895889347461606521238799849e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=518.8MB, alloc=4.6MB, time=53.39 Complex estimate of poles used Radius of convergence = 1.086 Order of pole = 0.9037 x[1] = -0.429 y[1] (analytic) = 2.0893872976765844020375563436381 y[1] (numeric) = 2.0893872976765841943147412433284 absolute error = 2.077228151003097e-16 relative error = 9.9418052043916966872479163303987e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.086 Order of pole = 0.9037 x[1] = -0.428 y[1] (analytic) = 2.0889824662621763873867304917001 y[1] (numeric) = 2.0889824662621761793279532370018 absolute error = 2.080587772546983e-16 relative error = 9.9598144366897724990030965975646e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.086 Order of pole = 0.9037 x[1] = -0.427 y[1] (analytic) = 2.0885784800248045499651132888777 y[1] (numeric) = 2.0885784800248043415726775547218 absolute error = 2.083924357341559e-16 relative error = 9.9777163140970873343237994097648e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.085 Order of pole = 0.9037 x[1] = -0.426 y[1] (analytic) = 2.0881753395756574697082628379913 y[1] (numeric) = 2.0881753395756572609844907972768 absolute error = 2.087237720407145e-16 relative error = 9.9955098637995456584410753064674e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=522.6MB, alloc=4.6MB, time=53.78 Complex estimate of poles used Radius of convergence = 1.085 Order of pole = 0.9037 x[1] = -0.425 y[1] (analytic) = 2.0877730455253755423241257402862 y[1] (numeric) = 2.0877730455253753332713580750098 absolute error = 2.090527676652764e-16 relative error = 1.0013194111942829836200559408808e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.084 Order of pole = 0.9037 x[1] = -0.424 y[1] (analytic) = 2.087371598484046687801858354424 y[1] (numeric) = 2.0873715984840464784224542659947 absolute error = 2.093794040884293e-16 relative error = 1.0030768083674754461705884113543e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.084 Order of pole = 0.9037 x[1] = -0.423 y[1] (analytic) = 2.0869709990612020521433646628087 y[1] (numeric) = 2.0869709990612018424397018815419 absolute error = 2.097036627812668e-16 relative error = 1.0048230803187940061276687010481e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.084 Order of pole = 0.9037 x[1] = -0.422 y[1] (analytic) = 2.08657124786581170236600828053 y[1] (numeric) = 2.0865712478658114923404830743149 absolute error = 2.100255252062151e-16 relative error = 1.0065581293762844573858801694338e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=526.4MB, alloc=4.6MB, time=54.16 Complex estimate of poles used Radius of convergence = 1.083 Order of pole = 0.9037 x[1] = -0.421 y[1] (analytic) = 2.0861723455062803148253372673237 y[1] (numeric) = 2.0861723455062801044803644494579 absolute error = 2.103449728178658e-16 relative error = 1.0082818577811147926083265504773e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.083 Order of pole = 0.9038 x[1] = -0.42 y[1] (analytic) = 2.0857742925904428569070417096835 y[1] (numeric) = 2.0857742925904426462450546458689 absolute error = 2.106619870638146e-16 relative error = 1.0099941676919480212715731590210e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.082 Order of pole = 0.9038 x[1] = -0.419 y[1] (analytic) = 2.0853770897255602621377455114936 y[1] (numeric) = 2.0853770897255600511611961259888 absolute error = 2.109765493855048e-16 relative error = 1.0116949611893440816238023015052e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.082 Order of pole = 0.9038 x[1] = -0.418 y[1] (analytic) = 2.0849807375183150987646154500799 y[1] (numeric) = 2.0849807375183148874759742310015 absolute error = 2.112886412190784e-16 relative error = 1.0133841402802042766518715335081e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.082 Order of pole = 0.9038 x[1] = -0.417 y[1] (analytic) = 2.0845852365748072318541523030261 y[1] (numeric) = 2.0845852365748070202559083067946 absolute error = 2.115982439962315e-16 relative error = 1.0150616069022424217030645498831e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=530.2MB, alloc=4.6MB, time=54.55 Complex estimate of poles used Radius of convergence = 1.081 Order of pole = 0.9039 x[1] = -0.416 y[1] (analytic) = 2.084190587500549478960910712038 y[1] (numeric) = 2.0841905875005492670555715669617 absolute error = 2.119053391450763e-16 relative error = 1.0167272629284937358254125878735e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.081 Order of pole = 0.9039 x[1] = -0.415 y[1] (analytic) = 2.0837967909004632594172764059487 y[1] (numeric) = 2.0837967909004630472073683149404 absolute error = 2.122099080910083e-16 relative error = 1.0183810101718547691265006395882e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.08 Order of pole = 0.9039 x[1] = -0.414 y[1] (analytic) = 2.0834038473788742372958114379588 y[1] (numeric) = 2.0834038473788740247838791803785 absolute error = 2.125119322575803e-16 relative error = 1.0200227503896620473225712261965e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.08 Order of pole = 0.904 x[1] = -0.413 y[1] (analytic) = 2.0830117575395079580960601845548 y[1] (numeric) = 2.0830117575395077452846671171742 absolute error = 2.128113930673806e-16 relative error = 1.0216523852882969626604664179511e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=534.0MB, alloc=4.6MB, time=54.93 Complex estimate of poles used Radius of convergence = 1.08 Order of pole = 0.904 x[1] = -0.412 y[1] (analytic) = 2.0826205219854854792080909873292 y[1] (numeric) = 2.0826205219854852660998190444114 absolute error = 2.131082719429178e-16 relative error = 1.0232698165278284293348215102226e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.079 Order of pole = 0.9041 x[1] = -0.411 y[1] (analytic) = 2.0822301413193189942054304760542 y[1] (numeric) = 2.082230141319318780802880168543 absolute error = 2.134025503075112e-16 relative error = 1.0248749457266885097617116273003e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.079 Order of pole = 0.9041 x[1] = -0.41 y[1] (analytic) = 2.0818406161429074510204297736789 y[1] (numeric) = 2.0818406161429072373262201874916 absolute error = 2.136942095861873e-16 relative error = 1.0264676744663834155338339592753e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.079 Order of pole = 0.9042 x[1] = -0.409 y[1] (analytic) = 2.0814519470575321640554839331278 y[1] (numeric) = 2.0814519470575319500722527265475 absolute error = 2.139832312065803e-16 relative error = 1.0280479042962297987238294199563e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=537.8MB, alloc=4.6MB, time=55.31 Complex estimate of poles used Radius of convergence = 1.078 Order of pole = 0.9043 x[1] = -0.408 y[1] (analytic) = 2.0810641346638524202839080734753 y[1] (numeric) = 2.0810641346638522060143114736358 absolute error = 2.142695965998395e-16 relative error = 1.0296155367381302598406499457138e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.078 Order of pole = 0.9043 x[1] = -0.407 y[1] (analytic) = 2.0806771795619010793946557507219 y[1] (numeric) = 2.0806771795619008648413685491795 absolute error = 2.145532872015424e-16 relative error = 1.0311704732913823139585048715172e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.077 Order of pole = 0.9044 x[1] = -0.406 y[1] (analytic) = 2.0802910823510801680354470973784 y[1] (numeric) = 2.080291082351079953201162644766 absolute error = 2.148342844526124e-16 relative error = 1.0327126154375155281465899156474e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.077 Order of pole = 0.9045 x[1] = -0.405 y[1] (analytic) = 2.0799058436301564682092561766167 y[1] (numeric) = 2.0799058436301562530966863763743 absolute error = 2.151125698002424e-16 relative error = 1.0342418646451630740002918803817e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=541.7MB, alloc=4.6MB, time=55.70 Complex estimate of poles used Radius of convergence = 1.077 Order of pole = 0.9045 x[1] = -0.404 y[1] (analytic) = 2.0795214639972570998794888020052 y[1] (numeric) = 2.079521463997256884491364103181 absolute error = 2.153881246988242e-16 relative error = 1.0357581223749672155721893283309e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.076 Order of pole = 0.9046 x[1] = -0.403 y[1] (analytic) = 2.0791379440498650978395637538337 y[1] (numeric) = 2.0791379440498648821786331429514 absolute error = 2.156609306108823e-16 relative error = 1.0372612900845119992118924498604e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.076 Order of pole = 0.9047 x[1] = -0.402 y[1] (analytic) = 2.0787552843848149829029918586677 y[1] (numeric) = 2.0787552843848147669720228506534 absolute error = 2.159309690080143e-16 relative error = 1.0387512692332937194782995843198e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.076 Order of pole = 0.9048 x[1] = -0.401 y[1] (analytic) = 2.0783734855982883274704287708375 y[1] (numeric) = 2.0783734855982881112722073990018 absolute error = 2.161982213718357e-16 relative error = 1.0402279612877185800189309689419e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.075 Order of pole = 0.9048 x[1] = -0.4 y[1] (analytic) = 2.0779925482858093155305584837694 y[1] (numeric) = 2.0779925482858090990678892888389 absolute error = 2.164626691949305e-16 relative error = 1.0416912677261342766745253098112e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=545.5MB, alloc=4.6MB, time=56.09 Complex estimate of poles used Radius of convergence = 1.075 Order of pole = 0.9049 x[1] = -0.399 y[1] (analytic) = 2.0776124730422402971520455859709 y[1] (numeric) = 2.077612473042240080427751604164 absolute error = 2.167242939818069e-16 relative error = 1.0431410900438921317474383756421e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.075 Order of pole = 0.905 x[1] = -0.398 y[1] (analytic) = 2.0772332604617773375241750415659 y[1] (numeric) = 2.0772332604617771205410977917081 absolute error = 2.169830772498578e-16 relative error = 1.0445773297584383285996663321747e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.074 Order of pole = 0.9051 x[1] = -0.397 y[1] (analytic) = 2.0768549111379457606041787988967 y[1] (numeric) = 2.076854911137945543365178268569 absolute error = 2.172390005303277e-16 relative error = 1.0459998884144419416310317573058e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.074 Order of pole = 0.9052 x[1] = -0.396 y[1] (analytic) = 2.0764774256635956874296287931225 y[1] (numeric) = 2.0764774256635954699375834238392 absolute error = 2.174920453692833e-16 relative error = 1.0474086675889467592991343596688e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=549.3MB, alloc=4.6MB, time=56.47 Complex estimate of poles used Radius of convergence = 1.073 Order of pole = 0.9053 x[1] = -0.395 y[1] (analytic) = 2.0761008046308975691546558900968 y[1] (numeric) = 2.0761008046308973514124625615067 absolute error = 2.177421933285901e-16 relative error = 1.0488035688965579620585869778341e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.073 Order of pole = 0.9053 x[1] = -0.394 y[1] (analytic) = 2.0757250486313377148691339991384 y[1] (numeric) = 2.0757250486313374968797080122447 absolute error = 2.179894259868937e-16 relative error = 1.0501844939946573894070074479632e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.073 Order of pole = 0.9054 x[1] = -0.393 y[1] (analytic) = 2.0753501582557138142603479415573 y[1] (numeric) = 2.075350158255713596026623000951 absolute error = 2.182337249406063e-16 relative error = 1.0515513445886497939036651337394e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.072 Order of pole = 0.9055 x[1] = -0.392 y[1] (analytic) = 2.074976134094130455177042679791 y[1] (numeric) = 2.0749761340941302367019708748927 absolute error = 2.184750718048983e-16 relative error = 1.0529040224372395914555822445991e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=553.1MB, alloc=4.6MB, time=56.85 Complex estimate of poles used Radius of convergence = 1.072 Order of pole = 0.9056 x[1] = -0.391 y[1] (analytic) = 2.0746029767359946361561301684769 y[1] (numeric) = 2.0746029767359944174426819537823 absolute error = 2.187134482146946e-16 relative error = 1.0542424293577361699419919301747e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.072 Order of pole = 0.9057 x[1] = -0.39 y[1] (analytic) = 2.0742306867700112739727083633541 y[1] (numeric) = 2.0742306867700110550238725376791 absolute error = 2.189488358256750e-16 relative error = 1.0555664672313848507997100543959e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.071 Order of pole = 0.9058 x[1] = -0.389 y[1] (analytic) = 2.0738592647841787062744247960847 y[1] (numeric) = 2.0738592647841784870932084808029 absolute error = 2.191812163152818e-16 relative error = 1.0568760380087384347320241718881e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.071 Order of pole = 0.9059 x[1] = -0.388 y[1] (analytic) = 2.0734887113657841893615945723185 y[1] (numeric) = 2.0734887113657839699510231885888 absolute error = 2.194105713837297e-16 relative error = 1.0581710437150457013357617238780e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=556.9MB, alloc=4.6MB, time=57.23 Complex estimate of poles used Radius of convergence = 1.071 Order of pole = 0.906 x[1] = -0.387 y[1] (analytic) = 2.0731190271013993911748596559404 y[1] (numeric) = 2.073119027101399171537976900919 absolute error = 2.196368827550214e-16 relative error = 1.0594513864556732344505339300089e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.07 Order of pole = 0.9061 x[1] = -0.386 y[1] (analytic) = 2.0727502125768758795525528436404 y[1] (numeric) = 2.0727502125768756596924206656718 absolute error = 2.198601321779686e-16 relative error = 1.0607169684215591173633881478149e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.07 Order of pole = 0.9062 x[1] = -0.385 y[1] (analytic) = 2.0723822683773406058203058898664 y[1] (numeric) = 2.0723822683773403857400044626499 absolute error = 2.200803014272165e-16 relative error = 1.0619676918946893188621250949752e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.069 Order of pole = 0.9063 x[1] = -0.384 y[1] (analytic) = 2.0720151950871913837758167918953 y[1] (numeric) = 2.0720151950871911634784444876221 absolute error = 2.202973723042732e-16 relative error = 1.0632034592536035041733576986859e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=560.7MB, alloc=4.6MB, time=57.63 Complex estimate of poles used Radius of convergence = 1.069 Order of pole = 0.9064 x[1] = -0.383 y[1] (analytic) = 2.0716489932900923641320662671075 y[1] (numeric) = 2.0716489932900921436207396285629 absolute error = 2.205113266385446e-16 relative error = 1.0644241729789331523215341492461e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.069 Order of pole = 0.9065 x[1] = -0.382 y[1] (analytic) = 2.0712836635689695044826479284223 y[1] (numeric) = 2.0712836635689692837605016400493 absolute error = 2.207221462883730e-16 relative error = 1.0656297356589632780491565950005e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.068 Order of pole = 0.9066 x[1] = -0.381 y[1] (analytic) = 2.0709192065060060348532505679856 y[1] (numeric) = 2.0709192065060058139234374259063 absolute error = 2.209298131420793e-16 relative error = 1.0668200499952172526232168158447e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.068 Order of pole = 0.9067 x[1] = -0.38 y[1] (analytic) = 2.0705556226826379189037042722546 y[1] (numeric) = 2.0705556226826376977693951532428 absolute error = 2.211343091190118e-16 relative error = 1.0679950188080791885924667615022e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.068 Order of pole = 0.9067 x[1] = -0.379 y[1] (analytic) = 2.0701929126795493108453747921397 y[1] (numeric) = 2.0701929126795490895097586215425 absolute error = 2.213356161705972e-16 relative error = 1.0691545450424326280029378661300e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=564.5MB, alloc=4.6MB, time=58.02 Complex estimate of poles used Radius of convergence = 1.067 Order of pole = 0.9068 x[1] = -0.378 y[1] (analytic) = 2.0698310770766680081390626583335 y[1] (numeric) = 2.0698310770766677866053463769361 absolute error = 2.215337162813974e-16 relative error = 1.0702985317733328938005771861703e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.067 Order of pole = 0.9069 x[1] = -0.377 y[1] (analytic) = 2.0694701164531609000389349427352 y[1] (numeric) = 2.0694701164531606783103434725653 absolute error = 2.217285914701699e-16 relative error = 1.0714268822117024615836660758394e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.067 Order of pole = 0.907 x[1] = -0.376 y[1] (analytic) = 2.0691100313874294120483883002725 y[1] (numeric) = 2.0691100313874291901281645093406 absolute error = 2.219202237909319e-16 relative error = 1.0725394997100498094432479547873e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.066 Order of pole = 0.9071 x[1] = -0.375 y[1] (analytic) = 2.0687508224571049463541119596277 y[1] (numeric) = 2.0687508224571047242455166255979 absolute error = 2.221085953340298e-16 relative error = 1.0736362877682199380297720142352e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=568.4MB, alloc=4.6MB, time=58.40 Complex estimate of poles used Radius of convergence = 1.066 Order of pole = 0.9072 x[1] = -0.374 y[1] (analytic) = 2.0683924902390443183049886445018 y[1] (numeric) = 2.0683924902390440960113004172905 absolute error = 2.222936882272113e-16 relative error = 1.0747171500391630079348277263684e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.066 Order of pole = 0.9073 x[1] = -0.373 y[1] (analytic) = 2.0680350353093251890028399771431 y[1] (numeric) = 2.06803503530932496652735534044 absolute error = 2.224754846367031e-16 relative error = 1.0757819903347355682075553187307e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.065 Order of pole = 0.9073 x[1] = -0.372 y[1] (analytic) = 2.0676784582432414940723907208531 y[1] (numeric) = 2.0676784582432412714184239525619 absolute error = 2.226539667682912e-16 relative error = 1.0768307126315198514277271095523e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.065 Order of pole = 0.9074 x[1] = -0.371 y[1] (analytic) = 2.0673227596152988686781932359483 y[1] (numeric) = 2.0673227596152986458490763675425 absolute error = 2.228291168684058e-16 relative error = 1.0778632210766707761483562250163e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=572.2MB, alloc=4.6MB, time=58.78 Complex estimate of poles used Radius of convergence = 1.065 Order of pole = 0.9075 x[1] = -0.37 y[1] (analytic) = 2.0669679399992100688566197319589 y[1] (numeric) = 2.0669679399992098458557025067491 absolute error = 2.230009172252098e-16 relative error = 1.0788794199937857964327231566208e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.064 Order of pole = 0.9076 x[1] = -0.369 y[1] (analytic) = 2.0666139999678903892313952754105 y[1] (numeric) = 2.0666139999678901660620451057193 absolute error = 2.231693501696912e-16 relative error = 1.0798792138887990216049422803354e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.064 Order of pole = 0.9076 x[1] = -0.368 y[1] (analytic) = 2.0662609400934530771815090349615 y[1] (numeric) = 2.0662609400934528538471109582022 absolute error = 2.233343980767593e-16 relative error = 1.0808625074558990950427221825683e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.064 Order of pole = 0.9077 x[1] = -0.367 y[1] (analytic) = 2.0659087609472047435307048915218 y[1] (numeric) = 2.0659087609472045200346615251775 absolute error = 2.234960433663443e-16 relative error = 1.0818292055834688676092762949577e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=576.0MB, alloc=4.6MB, time=59.17 Complex estimate of poles used Radius of convergence = 1.063 Order of pole = 0.9078 x[1] = -0.366 y[1] (analytic) = 2.0655574630996407698281152877083 y[1] (numeric) = 2.0655574630996405461738467832078 absolute error = 2.236542685045005e-16 relative error = 1.0827792133600478030501171989090e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.063 Order of pole = 0.9078 x[1] = -0.365 y[1] (analytic) = 2.0652070471204407122899640160032 y[1] (numeric) = 2.0652070471204404884809080114899 absolute error = 2.238090560045133e-16 relative error = 1.0837124360803180535927129219603e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.063 Order of pole = 0.9079 x[1] = -0.364 y[1] (analytic) = 2.0648575135784637024726245255833 y[1] (numeric) = 2.0648575135784634785122360975739 absolute error = 2.239603884280094e-16 relative error = 1.0846287792511112705267035171979e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.062 Order of pole = 0.908 x[1] = -0.363 y[1] (analytic) = 2.0645088630417438447476802412304 y[1] (numeric) = 2.0645088630417436206394318551594 absolute error = 2.241082483860710e-16 relative error = 1.0855281485974399914677003245159e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.062 Order of pole = 0.908 memory used=579.8MB, alloc=4.6MB, time=59.56 x[1] = -0.362 y[1] (analytic) = 2.0641610960774856106499923111857 y[1] (numeric) = 2.0641610960774853863973737708337 absolute error = 2.242526185403520e-16 relative error = 1.0864104500685438860048672750709e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.062 Order of pole = 0.9081 x[1] = -0.361 y[1] (analytic) = 2.063814213252059230170138111385 y[1] (numeric) = 2.0638142132520590057766565071861 absolute error = 2.243934816041989e-16 relative error = 1.0872755898439639013384135578050e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.061 Order of pole = 0.9081 x[1] = -0.36 y[1] (analytic) = 2.0634682151309960800629407082272 y[1] (numeric) = 2.0634682151309958555321203644534 absolute error = 2.245308203437738e-16 relative error = 1.0881234743396316818173234613767e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.061 Order of pole = 0.9081 x[1] = -0.359 y[1] (analytic) = 2.0631231022789840692441652978722 y[1] (numeric) = 2.0631231022789838445795477186904 absolute error = 2.246646175791818e-16 relative error = 1.0889540102139853693571553156295e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.061 Order of pole = 0.9082 x[1] = -0.358 y[1] (analytic) = 2.0627788752598630213478133739177 y[1] (numeric) = 2.0627788752598627965529571883176 absolute error = 2.247948561856001e-16 relative error = 1.0897671043740986671156833680752e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=583.6MB, alloc=4.6MB, time=59.94 Complex estimate of poles used Radius of convergence = 1.06 Order of pole = 0.9082 x[1] = -0.357 y[1] (analytic) = 2.0624355346366200545167990040219 y[1] (numeric) = 2.0624355346366198295952799096117 absolute error = 2.249215190944102e-16 relative error = 1.0905626639818299103267398848548e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.06 Order of pole = 0.9082 x[1] = -0.356 y[1] (analytic) = 2.062093080971384958500144096383 y[1] (numeric) = 2.0620930809713847334555548020486 absolute error = 2.250445892943344e-16 relative error = 1.0913405964599969270049552660923e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.059 Order of pole = 0.9083 x[1] = -0.355 y[1] (analytic) = 2.0617515148254255691301808856685 y[1] (numeric) = 2.0617515148254253439661310530945 absolute error = 2.251640498325740e-16 relative error = 1.0921008094985650476268381633206e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.059 Order of pole = 0.9083 x[1] = -0.354 y[1] (analytic) = 2.0614108367591431402536000416706 y[1] (numeric) = 2.0614108367591429149737162257208 absolute error = 2.252798838159498e-16 relative error = 1.0928432110608511291198227013215e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=587.4MB, alloc=4.6MB, time=60.32 Complex estimate of poles used Radius of convergence = 1.059 Order of pole = 0.9083 x[1] = -0.353 y[1] (analytic) = 2.0610710473320677131905317792295 y[1] (numeric) = 2.0610710473320674877984573671829 absolute error = 2.253920744120466e-16 relative error = 1.0935677093897517990431200759457e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.058 Order of pole = 0.9083 x[1] = -0.352 y[1] (analytic) = 2.0607321471028534837961951013546 y[1] (numeric) = 2.0607321471028532582955902509951 absolute error = 2.255006048503595e-16 relative error = 1.0942742130139852110353728205290e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.058 Order of pole = 0.9083 x[1] = -0.351 y[1] (analytic) = 2.0603941366292741671999968154657 y[1] (numeric) = 2.0603941366292739415945383920226 absolute error = 2.256054584234431e-16 relative error = 1.0949626307543516045111369765815e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.058 Order of pole = 0.9084 x[1] = -0.35 y[1] (analytic) = 2.0600570164682183602973072016991 y[1] (numeric) = 2.0600570164682181345906887136367 absolute error = 2.257066184880624e-16 relative error = 1.0956328717300068035159403124429e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=591.2MB, alloc=4.6MB, time=60.71 Complex estimate of poles used Radius of convergence = 1.058 Order of pole = 0.9084 x[1] = -0.349 y[1] (analytic) = 2.059720787175684902069483158647 y[1] (numeric) = 2.0597207871756846762654146922995 absolute error = 2.258040684663475e-16 relative error = 1.0962848453647588032531876669185e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.057 Order of pole = 0.9084 x[1] = -0.348 y[1] (analytic) = 2.0593854493067782318080522820461 y[1] (numeric) = 2.0593854493067780059102604350971 absolute error = 2.258977918469490e-16 relative error = 1.0969184613933723555099917420583e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.057 Order of pole = 0.9084 x[1] = -0.347 y[1] (analytic) = 2.0590510034157037453193126220813 y[1] (numeric) = 2.0590510034157035193315404358841 absolute error = 2.259877721861972e-16 relative error = 1.0975336298678965551831040319122e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.057 Order of pole = 0.9083 x[1] = -0.346 y[1] (analytic) = 2.0587174500557631491859427913366 y[1] (numeric) = 2.0587174500557629231119496820746 absolute error = 2.260739931092620e-16 relative error = 1.0981302611640003335188680359968e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=595.1MB, alloc=4.6MB, time=61.09 Complex estimate of poles used Radius of convergence = 1.056 Order of pole = 0.9083 x[1] = -0.345 y[1] (analytic) = 2.0583847897793498131625556342024 y[1] (numeric) = 2.0583847897793495870061173228866 absolute error = 2.261564383113158e-16 relative error = 1.0987082659873269779504871964847e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.056 Order of pole = 0.9083 x[1] = -0.344 y[1] (analytic) = 2.0580530231379441207824657958512 y[1] (numeric) = 2.0580530231379438945473742371528 absolute error = 2.262350915586984e-16 relative error = 1.0992675553798627779904552540752e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.056 Order of pole = 0.9083 x[1] = -0.343 y[1] (analytic) = 2.0577221506821088182532772208325 y[1] (numeric) = 2.0577221506821085919433405307494 absolute error = 2.263099366900831e-16 relative error = 1.0998080407263158619518774689309e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.055 Order of pole = 0.9083 x[1] = -0.342 y[1] (analytic) = 2.0573921729614843617192308439497 y[1] (numeric) = 2.057392172961484135338273226304 absolute error = 2.263809576176457e-16 relative error = 1.1003296337605134352591566590035e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.055 Order of pole = 0.9082 x[1] = -0.341 y[1] (analytic) = 2.0570630905247842629685854853788 y[1] (numeric) = 2.0570630905247840365204471571451 absolute error = 2.264481383282337e-16 relative error = 1.1008322465718042516774551333322e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=598.9MB, alloc=4.6MB, time=61.48 Complex estimate of poles used Radius of convergence = 1.055 Order of pole = 0.9082 x[1] = -0.34 y[1] (analytic) = 2.0567349039197904336646362039529 y[1] (numeric) = 2.0567349039197902071531733194137 absolute error = 2.265114628845392e-16 relative error = 1.1013157916114832765260665594985e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.054 Order of pole = 0.9082 x[1] = -0.339 y[1] (analytic) = 2.0564076136933485281793040730846 y[1] (numeric) = 2.056407613693348301608388646813 absolute error = 2.265709154262716e-16 relative error = 1.1017801816992195372901101591324e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.054 Order of pole = 0.9081 x[1] = -0.338 y[1] (analytic) = 2.0560812203913632851085594988554 y[1] (numeric) = 2.0560812203913630584820793275229 absolute error = 2.266264801713325e-16 relative error = 1.1022253300294987733557476799006e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.054 Order of pole = 0.9081 x[1] = -0.337 y[1] (analytic) = 2.0557557245587938675492677752136 y[1] (numeric) = 2.0557557245587936408711263582216 absolute error = 2.266781414169920e-16 relative error = 1.1026511501780769451158506909842e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=602.7MB, alloc=4.6MB, time=61.87 Complex estimate of poles used Radius of convergence = 1.053 Order of pole = 0.908 x[1] = -0.336 y[1] (analytic) = 2.0554311267396492022173705428443 y[1] (numeric) = 2.0554311267396489754914870017776 absolute error = 2.267258835410667e-16 relative error = 1.1030575561084460091145595817636e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.053 Order of pole = 0.908 x[1] = -0.335 y[1] (analytic) = 2.0551074274769833174876401619023 y[1] (numeric) = 2.0551074274769830907179491588042 absolute error = 2.267696910030981e-16 relative error = 1.1034444621783055819625661456427e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.053 Order of pole = 0.9079 x[1] = -0.334 y[1] (analytic) = 2.0547846273128906804355657002227 y[1] (numeric) = 2.0547846273128904536260173546899 absolute error = 2.268095483455328e-16 relative error = 1.1038117831460472475583876290891e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.052 Order of pole = 0.9079 x[1] = -0.333 y[1] (analytic) = 2.0544627267885015329622492535915 y[1] (numeric) = 2.0544627267885013061168090586882 absolute error = 2.268454401949033e-16 relative error = 1.1041594341772456150740172063802e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=606.5MB, alloc=4.6MB, time=62.25 Complex estimate of poles used Radius of convergence = 1.052 Order of pole = 0.9078 x[1] = -0.332 y[1] (analytic) = 2.0541417264439772270835096289034 y[1] (numeric) = 2.0541417264439770002061583658929 absolute error = 2.268773512630105e-16 relative error = 1.1044873308511614244380694080311e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.052 Order of pole = 0.9078 x[1] = -0.331 y[1] (analytic) = 2.0538216268185055594647070102643 y[1] (numeric) = 2.0538216268185053325594406621586 absolute error = 2.269052663481057e-16 relative error = 1.1047953891672459348695331438366e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.051 Order of pole = 0.9077 x[1] = -0.33 y[1] (analytic) = 2.0535024284502961052831170680079 y[1] (numeric) = 2.0535024284502958783539467319323 absolute error = 2.269291703360756e-16 relative error = 1.1050835255516635758424094290235e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.051 Order of pole = 0.9076 x[1] = -0.329 y[1] (analytic) = 2.0531841318765755514999960368382 y[1] (numeric) = 2.053184131876575324550947835213 absolute error = 2.269490482016252e-16 relative error = 1.1053516568638079746502644018917e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=610.3MB, alloc=4.6MB, time=62.63 Complex estimate of poles used Radius of convergence = 1.051 Order of pole = 0.9076 x[1] = -0.328 y[1] (analytic) = 2.0528667376335830296247895575696 y[1] (numeric) = 2.0528667376335828026599045481056 absolute error = 2.269648850094640e-16 relative error = 1.1055997004028375916280972362199e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.05 Order of pole = 0.9075 x[1] = -0.327 y[1] (analytic) = 2.0525502462565654480542475228155 y[1] (numeric) = 2.0525502462565652210775816073249 absolute error = 2.269766659154906e-16 relative error = 1.1058275739142070449601845943795e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.05 Order of pole = 0.9074 x[1] = -0.326 y[1] (analytic) = 2.0522346582797728240695147661332 y[1] (numeric) = 2.0522346582797725970851385981541 absolute error = 2.269843761679791e-16 relative error = 1.1060351955962106209629025829060e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.05 Order of pole = 0.9073 x[1] = -0.325 y[1] (analytic) = 2.0519199742364536155745731621598 y[1] (numeric) = 2.0519199742364533885865720533943 absolute error = 2.269880011087655e-16 relative error = 1.1062224841065291438130546645272e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.049 Order of pole = 0.9072 memory used=614.1MB, alloc=4.6MB, time=63.02 x[1] = -0.324 y[1] (analytic) = 2.0516061946588500526597145377886 y[1] (numeric) = 2.0516061946588498256721883633554 absolute error = 2.269875261744332e-16 relative error = 1.1063893585687757544588570803935e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.049 Order of pole = 0.9072 x[1] = -0.323 y[1] (analytic) = 2.0512933200781934690740257070398 y[1] (numeric) = 2.0512933200781932420910888095388 absolute error = 2.269829368975010e-16 relative error = 1.1065357385790571052735229029929e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.049 Order of pole = 0.9071 x[1] = -0.322 y[1] (analytic) = 2.0509813510246996336911669105493 y[1] (numeric) = 2.0509813510246994067169480029412 absolute error = 2.269742189076081e-16 relative error = 1.1066615442125231031600196957670e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.049 Order of pole = 0.907 x[1] = -0.321 y[1] (analytic) = 2.050670288027564082053022940158 y[1] (numeric) = 2.0506702880275638550916650074558 absolute error = 2.269613579327022e-16 relative error = 1.1067666960299348678021504432880e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.048 Order of pole = 0.9069 x[1] = -0.32 y[1] (analytic) = 2.0503601316149574480761022354808 y[1] (numeric) = 2.0503601316149572211317624352558 absolute error = 2.269443398002250e-16 relative error = 1.1068511150842230568458210230859e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=618.0MB, alloc=4.6MB, time=63.40 Complex estimate of poles used Radius of convergence = 1.048 Order of pole = 0.9068 x[1] = -0.319 y[1] (analytic) = 2.0500508823140207960058532282019 y[1] (numeric) = 2.0500508823140205690827027899035 absolute error = 2.269231504382984e-16 relative error = 1.1069147229270525772227386477588e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.048 Order of pole = 0.9067 x[1] = -0.318 y[1] (analytic) = 2.0497425406508609527043591567404 y[1] (numeric) = 2.0497425406508607258065832798295 absolute error = 2.268977758769109e-16 relative error = 1.1069574416153911822247814923922e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.047 Order of pole = 0.9066 x[1] = -0.317 y[1] (analytic) = 2.0494351071505458403571624544742 y[1] (numeric) = 2.0494351071505456134889602053721 absolute error = 2.268682022491021e-16 relative error = 1.1069791937180716437409104924309e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.047 Order of pole = 0.9065 x[1] = -0.316 y[1] (analytic) = 2.0491285823370998096852576045081 y[1] (numeric) = 2.0491285823370995828508418123601 absolute error = 2.268344157921480e-16 relative error = 1.1069799023223606011863862571446e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=621.8MB, alloc=4.6MB, time=63.79 Complex estimate of poles used Radius of convergence = 1.047 Order of pole = 0.9064 x[1] = -0.315 y[1] (analytic) = 2.0488229667334989737485770286213 y[1] (numeric) = 2.048822966733498746952174179876 absolute error = 2.267964028487453e-16 relative error = 1.1069594910405252404519012933305e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.046 Order of pole = 0.9063 x[1] = -0.314 y[1] (analytic) = 2.0485182608616665424275781131738 y[1] (numeric) = 2.0485182608616663156734282449795 absolute error = 2.267541498681943e-16 relative error = 1.1069178840163957797126696429377e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.046 Order of pole = 0.9062 x[1] = -0.313 y[1] (analytic) = 2.0482144652424681576698208460207 y[1] (numeric) = 2.048214465242467930962177438439 absolute error = 2.267076434075817e-16 relative error = 1.1068550059319300363910213377620e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.046 Order of pole = 0.9061 x[1] = -0.312 y[1] (analytic) = 2.0479115803957072295887047215271 y[1] (numeric) = 2.047911580395707002931834588565 absolute error = 2.266568701329621e-16 relative error = 1.1067707820137741493993628408945e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=625.6MB, alloc=4.6MB, time=64.17 Complex estimate of poles used Radius of convergence = 1.045 Order of pole = 0.906 x[1] = -0.311 y[1] (analytic) = 2.0476096068401202735018105412745 y[1] (numeric) = 2.0476096068401200468999937207356 absolute error = 2.266018168205389e-16 relative error = 1.1066651380398228028019249046779e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.045 Order of pole = 0.9059 x[1] = -0.31 y[1] (analytic) = 2.0473085450933722479965674716834 y[1] (numeric) = 2.0473085450933720214540971138406 absolute error = 2.265424703578428e-16 relative error = 1.1065380003457700897810148555041e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.045 Order of pole = 0.9058 x[1] = -0.309 y[1] (analytic) = 2.047008395672051894111238192265 y[1] (numeric) = 2.0470083956720516676324204473542 absolute error = 2.264788177449108e-16 relative error = 1.1063892958316651056587046460836e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.045 Order of pole = 0.9057 x[1] = -0.308 y[1] (analytic) = 2.0467091590916670757194851552811 y[1] (numeric) = 2.0467091590916668493086390598189 absolute error = 2.264108460954622e-16 relative error = 1.1062189519684551055295190154447e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=629.4MB, alloc=4.6MB, time=64.55 Complex estimate of poles used Radius of convergence = 1.044 Order of pole = 0.9056 x[1] = -0.307 y[1] (analytic) = 2.0464108358666401212070488550134 y[1] (numeric) = 2.0464108358666398948685062169387 absolute error = 2.263385426380747e-16 relative error = 1.1060268968045312934902755652503e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.044 Order of pole = 0.9055 x[1] = -0.306 y[1] (analytic) = 2.046113426510303166529334548385 y[1] (numeric) = 2.0461134265103029402674398310282 absolute error = 2.262618947173568e-16 relative error = 1.1058130589722586055778936427513e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.044 Order of pole = 0.9055 x[1] = -0.305 y[1] (analytic) = 2.0458169315348934997389670541867 y[1] (numeric) = 2.0458169315348932735580772590654 absolute error = 2.261808897951213e-16 relative error = 1.1055773676945128638011487845098e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.043 Order of pole = 0.9054 x[1] = -0.304 y[1] (analytic) = 2.0455213514515489070726340614522 y[1] (numeric) = 2.0455213514515486809771186098982 absolute error = 2.260955154515540e-16 relative error = 1.1053197527911963963955422947510e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.043 Order of pole = 0.9053 x[1] = -0.303 y[1] (analytic) = 2.0452266867703030206867967745245 y[1] (numeric) = 2.0452266867703027946810373881413 absolute error = 2.260057593863832e-16 relative error = 1.1050401446857594144302029535423e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=633.2MB, alloc=4.6MB, time=64.94 Complex estimate of poles used Radius of convergence = 1.043 Order of pole = 0.9052 x[1] = -0.302 y[1] (analytic) = 2.0449329380000806681321026889399 y[1] (numeric) = 2.0449329380000804422204932688948 absolute error = 2.259116094200451e-16 relative error = 1.1047384744117031200222211070315e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.043 Order of pole = 0.9051 x[1] = -0.301 y[1] (analytic) = 2.0446401056486932236565888044235 y[1] (numeric) = 2.044640105648692997843535309575 absolute error = 2.258130534948485e-16 relative error = 1.1044146736190810876794373085016e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.042 Order of pole = 0.905 x[1] = -0.3 y[1] (analytic) = 2.0443481902228339614280146150097 y[1] (numeric) = 2.0443481902228337357179349388732 absolute error = 2.257100796761365e-16 relative error = 1.1040686745809875975943907038855e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.042 Order of pole = 0.9049 x[1] = -0.299 y[1] (analytic) = 2.0440571922280734107659127476399 y[1] (numeric) = 2.0440571922280731851632365941935 absolute error = 2.256026761534464e-16 relative error = 1.1037004102000387095734159749616e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=637.0MB, alloc=4.6MB, time=65.33 Complex estimate of poles used Radius of convergence = 1.042 Order of pole = 0.9048 x[1] = -0.298 y[1] (analytic) = 2.0437671121688547134741911256182 y[1] (numeric) = 2.0437671121688544879833598839517 absolute error = 2.254908312416665e-16 relative error = 1.1033098140148396406338009181774e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.041 Order of pole = 0.9047 x[1] = -0.297 y[1] (analytic) = 2.0434779505484889833653639881738 y[1] (numeric) = 2.0434779505484887579908306059827 absolute error = 2.253745333821911e-16 relative error = 1.1028968202064447254388404346245e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.041 Order of pole = 0.9047 x[1] = -0.296 y[1] (analytic) = 2.0431897078691506680677299782612 y[1] (numeric) = 2.0431897078691504428139588341891 absolute error = 2.252537711440721e-16 relative error = 1.1024613636048020524332181964781e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.041 Order of pole = 0.9046 x[1] = -0.295 y[1] (analytic) = 2.0429023846318729132070537938721 y[1] (numeric) = 2.0429023846318726880785205687037 absolute error = 2.251285332251684e-16 relative error = 1.1020033796951885656559017302067e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=640.8MB, alloc=4.6MB, time=65.72 Complex estimate of poles used Radius of convergence = 1.041 Order of pole = 0.9045 x[1] = -0.294 y[1] (analytic) = 2.0426159813365429290545435598216 y[1] (numeric) = 2.042615981336542704055735106529 absolute error = 2.249988084532926e-16 relative error = 1.1015228046246331061635076152439e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.04 Order of pole = 0.9044 x[1] = -0.293 y[1] (analytic) = 2.0423304984818973597331490935558 y[1] (numeric) = 2.0423304984818971348685633062022 absolute error = 2.248645857873536e-16 relative error = 1.1010195752083204574916929008999e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.04 Order of pole = 0.9044 x[1] = -0.292 y[1] (analytic) = 2.0420459365655176550744365864222 y[1] (numeric) = 2.0420459365655174303485822679249 absolute error = 2.247258543184973e-16 relative error = 1.1004936289359870813110657915921e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.04 Order of pole = 0.9043 x[1] = -0.291 y[1] (analytic) = 2.0417622960838254452185228775021 y[1] (numeric) = 2.0417622960838252206359196062582 absolute error = 2.245826032712439e-16 relative error = 1.0999449039783011198812800061476e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=644.7MB, alloc=4.6MB, time=66.10 Complex estimate of poles used Radius of convergence = 1.039 Order of pole = 0.9042 x[1] = -0.29 y[1] (analytic) = 2.0414795775320779180497774370702 y[1] (numeric) = 2.0414795775320776936149554324494 absolute error = 2.244348220046208e-16 relative error = 1.0993733391932216829238644007405e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.039 Order of pole = 0.9042 x[1] = -0.289 y[1] (analytic) = 2.0411977814043631995612223776154 y[1] (numeric) = 2.0411977814043629752787223643217 absolute error = 2.242825000132937e-16 relative error = 1.0987788741323500678671202636170e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.039 Order of pole = 0.9041 x[1] = -0.288 y[1] (analytic) = 2.0409169081935957372407802487825 y[1] (numeric) = 2.0409169081935955131151533200896 absolute error = 2.241256269286929e-16 relative error = 1.0981614490472581378909780319488e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.039 Order of pole = 0.9041 x[1] = -0.287 y[1] (analytic) = 2.0406369583915116865727360253281 y[1] (numeric) = 2.0406369583915114626085435051916 absolute error = 2.239641925201365e-16 relative error = 1.0975210048958020980448401974958e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.038 Order of pole = 0.904 memory used=648.5MB, alloc=4.6MB, time=66.48 x[1] = -0.286 y[1] (analytic) = 2.0403579324886643007479935410229 y[1] (numeric) = 2.0403579324886640769498068450735 absolute error = 2.237981866959494e-16 relative error = 1.0968574833484161958693736832884e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.038 Order of pole = 0.904 x[1] = -0.285 y[1] (analytic) = 2.0400798309744193236769176332612 y[1] (numeric) = 2.0400798309744191000493181286818 absolute error = 2.236275995045794e-16 relative error = 1.0961708267943926313514115328706e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.038 Order of pole = 0.9039 x[1] = -0.284 y[1] (analytic) = 2.0398026543369503863987614199158 y[1] (numeric) = 2.039802654336950162946340284208 absolute error = 2.234524211357078e-16 relative error = 1.0954609783481348485689492318928e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.037 Order of pole = 0.9039 x[1] = -0.283 y[1] (analytic) = 2.0395264030632344069818834087482 y[1] (numeric) = 2.039526403063234183709241487391 absolute error = 2.232726419213572e-16 relative error = 1.0947278818553973540220653991389e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.037 Order of pole = 0.9039 x[1] = -0.282 y[1] (analytic) = 2.03925107763904699400916151756 y[1] (numeric) = 2.0392510776390467709209091805655 absolute error = 2.230882523369945e-16 relative error = 1.0939714818995021734444204915442e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=652.3MB, alloc=4.6MB, time=66.87 Complex estimate of poles used Radius of convergence = 1.037 Order of pole = 0.9038 x[1] = -0.281 y[1] (analytic) = 2.0389766785489578537432105374652 y[1] (numeric) = 2.0389766785489576308439675348356 absolute error = 2.228992430026296e-16 relative error = 1.0931917238075343094085038728823e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.037 Order of pole = 0.9038 x[1] = -0.28 y[1] (analytic) = 2.0387032062763262010662060794651 y[1] (numeric) = 2.0387032062763259783606013955556 absolute error = 2.227056046839095e-16 relative error = 1.0923885536565146407484915129088e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.036 Order of pole = 0.9038 x[1] = -0.279 y[1] (analytic) = 2.0384306613032961742893115832956 y[1] (numeric) = 2.0384306613032959517819832900878 absolute error = 2.225073282932078e-16 relative error = 1.0915619182795501750873194222486e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.036 Order of pole = 0.9038 x[1] = -0.278 y[1] (analytic) = 2.0381590441107922539268955147648 y[1] (numeric) = 2.038159044110792031622490624054 absolute error = 2.223044048907108e-16 relative error = 1.0907117652719674535570422957365e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=656.1MB, alloc=4.6MB, time=67.27 Complex estimate of poles used Radius of convergence = 1.036 Order of pole = 0.9038 x[1] = -0.277 y[1] (analytic) = 2.0378883551785146855309134110686 y[1] (numeric) = 2.0378883551785144634340877255725 absolute error = 2.220968256854961e-16 relative error = 1.0898380429974089058841947504184e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.036 Order of pole = 0.9038 x[1] = -0.276 y[1] (analytic) = 2.0376185949849349066810139305384 y[1] (numeric) = 2.0376185949849346847964318939292 absolute error = 2.218845820366092e-16 relative error = 1.0889407005939190465982616632092e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.035 Order of pole = 0.9038 x[1] = -0.275 y[1] (analytic) = 2.0373497640072909782261095016712 y[1] (numeric) = 2.0373497640072907565584440475381 absolute error = 2.216676654541331e-16 relative error = 1.0880196879799958943845635118135e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.035 Order of pole = 0.9038 x[1] = -0.274 y[1] (analytic) = 2.0370818627215830198733305240105 y[1] (numeric) = 2.0370818627215827984272629237569 absolute error = 2.214460676002536e-16 relative error = 1.0870749558606207699479412382920e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=659.9MB, alloc=4.6MB, time=67.65 Complex estimate of poles used Radius of convergence = 1.035 Order of pole = 0.9038 x[1] = -0.273 y[1] (analytic) = 2.0368148916025686502204573284253 y[1] (numeric) = 2.0368148916025684290006770381064 absolute error = 2.212197802903189e-16 relative error = 1.0861064557332595124733330162269e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.034 Order of pole = 0.9038 x[1] = -0.272 y[1] (analytic) = 2.0365488511237584313280962346553 y[1] (numeric) = 2.0365488511237582103393007407608 absolute error = 2.209887954938945e-16 relative error = 1.0851141398938399323644812485448e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.034 Order of pole = 0.9038 x[1] = -0.271 y[1] (analytic) = 2.0362837417574113179280350278269 y[1] (numeric) = 2.0362837417574110971749296920153 absolute error = 2.207531053358116e-16 relative error = 1.0840979614426965727369087150205e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.034 Order of pole = 0.9038 x[1] = -0.27 y[1] (analytic) = 2.0360195639745301113643789912844 y[1] (numeric) = 2.0360195639745298908516768940733 absolute error = 2.205127020972111e-16 relative error = 1.0830578742904929981527973542997e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=663.7MB, alloc=4.6MB, time=68.04 Complex estimate of poles used Radius of convergence = 1.034 Order of pole = 0.9038 x[1] = -0.269 y[1] (analytic) = 2.0357563182448569183642312589206 y[1] (numeric) = 2.03575631824485669809665304234 absolute error = 2.202675782165806e-16 relative error = 1.0819938331641087527855748826311e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.033 Order of pole = 0.9038 x[1] = -0.268 y[1] (analytic) = 2.0354940050368686147348406647531 y[1] (numeric) = 2.0354940050368683947171143739668 absolute error = 2.200177262907863e-16 relative error = 1.0809057936125002248437688381802e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.033 Order of pole = 0.9039 x[1] = -0.267 y[1] (analytic) = 2.035232624817772314084296449399 y[1] (numeric) = 2.0352326248177720943211573732997 absolute error = 2.197631390760993e-16 relative error = 1.0797937120125328717184707532910e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.033 Order of pole = 0.9039 x[1] = -0.266 y[1] (analytic) = 2.0349721780535008416630021111091 y[1] (numeric) = 2.0349721780535006221591926218944 absolute error = 2.195038094892147e-16 relative error = 1.0786575455747768525244188277658e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.033 Order of pole = 0.9039 x[1] = -0.265 y[1] (analytic) = 2.0347126652087082134233103420104 y[1] (numeric) = 2.0347126652087079941835797337449 absolute error = 2.192397306082655e-16 relative error = 1.0774972523492757998307622789412e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=667.5MB, alloc=4.6MB, time=68.43 Complex estimate of poles used Radius of convergence = 1.032 Order of pole = 0.904 x[1] = -0.264 y[1] (analytic) = 2.0344540867467651203948473471626 y[1] (numeric) = 2.0344540867467649014239516733331 absolute error = 2.189708956738295e-16 relative error = 1.0763127912312797944724219970391e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.032 Order of pole = 0.904 x[1] = -0.263 y[1] (analytic) = 2.0341964431297544184731978840929 y[1] (numeric) = 2.0341964431297541997758997941622 absolute error = 2.186972980899307e-16 relative error = 1.0751041219669498212056604284505e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.032 Order of pole = 0.9041 x[1] = -0.262 y[1] (analytic) = 2.0339397348184666237197620628841 y[1] (numeric) = 2.0339397348184664053008306378515 absolute error = 2.184189314250326e-16 relative error = 1.0738712051590208328186504109463e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.032 Order of pole = 0.9041 x[1] = -0.261 y[1] (analytic) = 2.0336839622723954132707312910496 y[1] (numeric) = 2.0336839622723951951349418780227 absolute error = 2.181357894130269e-16 relative error = 1.0726140022724405325132939456180e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=671.4MB, alloc=4.6MB, time=68.81 Complex estimate of poles used Radius of convergence = 1.031 Order of pole = 0.9042 x[1] = -0.26 y[1] (analytic) = 2.0334291259497331319532637128367 y[1] (numeric) = 2.0334291259497329141053977586231 absolute error = 2.178478659542136e-16 relative error = 1.0713324756399641185168985300052e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.031 Order of pole = 0.9042 x[1] = -0.259 y[1] (analytic) = 2.0331752263073663047070690589422 y[1] (numeric) = 2.0331752263073660871519139426675 absolute error = 2.175551551162747e-16 relative error = 1.0700265884677157095973618291901e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.031 Order of pole = 0.9043 x[1] = -0.258 y[1] (analytic) = 2.0329222638008711549097389696701 y[1] (numeric) = 2.0329222638008709376520878344281 absolute error = 2.172576511352420e-16 relative error = 1.0686963048407188190129250692217e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.031 Order of pole = 0.9044 x[1] = -0.257 y[1] (analytic) = 2.0326702388845091287042815622651 y[1] (numeric) = 2.0326702388845089117489331458088 absolute error = 2.169553484164563e-16 relative error = 1.0673415897283825043339398921020e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=675.2MB, alloc=4.6MB, time=69.20 Complex estimate of poles used Radius of convergence = 1.03 Order of pole = 0.9044 x[1] = -0.256 y[1] (analytic) = 2.0324191520112224254274382615961 y[1] (numeric) = 2.0324191520112222087791967260763 absolute error = 2.166482415355198e-16 relative error = 1.0659624089899519488274620527071e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.03 Order of pole = 0.9045 x[1] = -0.255 y[1] (analytic) = 2.0321690036326295342374766827623 y[1] (numeric) = 2.0321690036326293179011514435206 absolute error = 2.163363252392417e-16 relative error = 1.0645587293799233817286696830906e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.03 Order of pole = 0.9046 x[1] = -0.254 y[1] (analytic) = 2.0319197941990207770402656249328 y[1] (numeric) = 2.0319197941990205610206711783572 absolute error = 2.160195944465756e-16 relative error = 1.0631305185534163550267961739751e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.03 Order of pole = 0.9047 x[1] = -0.253 y[1] (analytic) = 2.0316715241593538578125469883346 y[1] (numeric) = 2.0316715241593536421145027387846 absolute error = 2.156980442495500e-16 relative error = 1.0616777450715096775501831258279e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=679.0MB, alloc=4.6MB, time=69.58 Complex estimate of poles used Radius of convergence = 1.029 Order of pole = 0.9048 x[1] = -0.252 y[1] (analytic) = 2.0314241939612494184214246414492 y[1] (numeric) = 2.0314241939612492030497547272589 absolute error = 2.153716699141903e-16 relative error = 1.0602003784065330380982352440636e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.029 Order of pole = 0.9048 x[1] = -0.251 y[1] (analytic) = 2.0311778040509866010391919240092 y[1] (numeric) = 2.0311778040509863859987250425752 absolute error = 2.150404668814340e-16 relative error = 1.0586983889473225888115837378152e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.029 Order of pole = 0.9049 x[1] = -0.25 y[1] (analytic) = 2.0309323548734986172527175542826 y[1] (numeric) = 2.0309323548734984025482867862461 absolute error = 2.147044307680365e-16 relative error = 1.0571717480044275959766871321532e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.029 Order of pole = 0.905 x[1] = -0.249 y[1] (analytic) = 2.0306878468723683239667041975697 y[1] (numeric) = 2.0306878468723681096031468300991 absolute error = 2.143635573674706e-16 relative error = 1.0556204278152833227927666610538e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.028 Order of pole = 0.9051 x[1] = -0.248 y[1] (analytic) = 2.0304442804898238062002248281028 y[1] (numeric) = 2.0304442804898235921823821772864 absolute error = 2.140178426508164e-16 relative error = 1.0540444015493338035994108444303e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=682.8MB, alloc=4.6MB, time=69.98 Complex estimate of poles used Radius of convergence = 1.028 Order of pole = 0.9052 x[1] = -0.247 y[1] (analytic) = 2.0302016561667339668760292601466 y[1] (numeric) = 2.0302016561667337532087464925026 absolute error = 2.136672827676440e-16 relative error = 1.0524436433131162298869405143340e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.028 Order of pole = 0.9053 x[1] = -0.246 y[1] (analytic) = 2.0299599743426041237021968176684 y[1] (numeric) = 2.0299599743426039103903227707817 absolute error = 2.133118740468867e-16 relative error = 1.0508181281552955270402647961834e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.028 Order of pole = 0.9054 x[1] = -0.245 y[1] (analytic) = 2.0297192354555716132457910373196 y[1] (numeric) = 2.0297192354555714002941780396129 absolute error = 2.129516129977067e-16 relative error = 1.0491678320716588756067659696228e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.028 Order of pole = 0.9055 x[1] = -0.244 y[1] (analytic) = 2.0294794399424014022982485386254 y[1] (numeric) = 2.0294794399424011897117522282735 absolute error = 2.125864963103519e-16 relative error = 1.0474927320100631876647916102851e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=686.6MB, alloc=4.6MB, time=70.38 Complex estimate of poles used Radius of convergence = 1.027 Order of pole = 0.9056 x[1] = -0.243 y[1] (analytic) = 2.0292405882384817066323067303855 y[1] (numeric) = 2.0292405882384814944157858733819 absolute error = 2.122165208570036e-16 relative error = 1.0457928058753344563355745305981e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.027 Order of pole = 0.9057 x[1] = -0.242 y[1] (analytic) = 2.0290026807778196172503438356899 y[1] (numeric) = 2.0290026807778194054086601430744 absolute error = 2.118416836926155e-16 relative error = 1.0440680325341208531824071235629e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.027 Order of pole = 0.9058 x[1] = -0.241 y[1] (analytic) = 2.0287657179930367342240697921703 y[1] (numeric) = 2.028765717993036522762087736426 absolute error = 2.114619820557443e-16 relative error = 1.0423183918197009576959840645230e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.027 Order of pole = 0.9059 x[1] = -0.24 y[1] (analytic) = 2.0285297003153648082255679018371 y[1] (numeric) = 2.028529700315364597148154532467 absolute error = 2.110774133693701e-16 relative error = 1.0405438645367381526186578718863e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=690.4MB, alloc=4.6MB, time=70.76 Complex estimate of poles used Radius of convergence = 1.026 Order of pole = 0.906 x[1] = -0.239 y[1] (analytic) = 2.0282946281746413898497446489949 y[1] (numeric) = 2.0282946281746411791617694072855 absolute error = 2.106879752417094e-16 relative error = 1.0387444324659948902726445686443e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.026 Order of pole = 0.9061 x[1] = -0.238 y[1] (analytic) = 2.0280605019993054868282988583385 y[1] (numeric) = 2.028060501999305276534633391322 absolute error = 2.102936654670165e-16 relative error = 1.0369200783689860326723273667228e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.026 Order of pole = 0.9062 x[1] = -0.237 y[1] (analytic) = 2.027827322216393229235371311692 y[1] (numeric) = 2.0278273222163930193408892853143 absolute error = 2.098944820263777e-16 relative error = 1.0350707859925928595077233565628e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.026 Order of pole = 0.9063 x[1] = -0.236 y[1] (analytic) = 2.0275950892515335427850820643899 y[1] (numeric) = 2.0275950892515333332946589758955 absolute error = 2.094904230884944e-16 relative error = 1.0331965400736184234671884947475e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=694.2MB, alloc=4.6MB, time=71.15 Complex estimate of poles used Radius of convergence = 1.025 Order of pole = 0.9064 x[1] = -0.235 y[1] (analytic) = 2.0273638035289438303212049846838 y[1] (numeric) = 2.0273638035289436212397179742264 absolute error = 2.090814870104574e-16 relative error = 1.0312973263432954968289722114433e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.025 Order of pole = 0.9065 x[1] = -0.234 y[1] (analytic) = 2.0271334654714256615992674656086 y[1] (numeric) = 2.0271334654714254529315951270972 absolute error = 2.086676723385114e-16 relative error = 1.0293731315317420850901589340375e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.025 Order of pole = 0.9066 x[1] = -0.233 y[1] (analytic) = 2.0269040755003604714613978125082 y[1] (numeric) = 2.0269040755003602632124200036987 absolute error = 2.082489778088095e-16 relative error = 1.0274239433723634263764928034912e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.025 Order of pole = 0.9067 x[1] = -0.232 y[1] (analytic) = 2.0266756340357052665042734751358 y[1] (numeric) = 2.0266756340357050586788711269785 absolute error = 2.078254023481573e-16 relative error = 1.0254497506061984082490157945370e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.025 Order of pole = 0.9067 x[1] = -0.231 y[1] (analytic) = 2.0264481414959883403405500553483 y[1] (numeric) = 2.0264481414959881329436049806002 absolute error = 2.073969450747481e-16 relative error = 1.0234505429862177083778780484878e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=698.1MB, alloc=4.6MB, time=71.54 Complex estimate of poles used Radius of convergence = 1.024 Order of pole = 0.9068 x[1] = -0.23 y[1] (analytic) = 2.026221598298304997554173864546 y[1] (numeric) = 2.0262215982983047905905685656593 absolute error = 2.069636052988867e-16 relative error = 1.0214263112815612316414490437033e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.024 Order of pole = 0.9069 x[1] = -0.229 y[1] (analytic) = 2.025996004858313286449999714029 y[1] (numeric) = 2.0259960048583130799246171903248 absolute error = 2.065253825237042e-16 relative error = 1.0193770472817265914093700758402e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.024 Order of pole = 0.907 x[1] = -0.228 y[1] (analytic) = 2.0257713615902297406981505813922 y[1] (numeric) = 2.0257713615902295346158741355313 absolute error = 2.060822764458609e-16 relative error = 1.0173027438006942311171310561893e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.024 Order of pole = 0.9071 x[1] = -0.227 y[1] (analytic) = 2.0255476689068251299735667922503 y[1] (numeric) = 2.0255476689068249243392798360106 absolute error = 2.056342869562397e-16 relative error = 1.0152033946810009359250463712066e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=701.9MB, alloc=4.6MB, time=71.93 Complex estimate of poles used Radius of convergence = 1.023 Order of pole = 0.9072 x[1] = -0.226 y[1] (analytic) = 2.025324927219420219691199374436 y[1] (numeric) = 2.0253249272194200145097852338066 absolute error = 2.051814141406294e-16 relative error = 1.0130789947977586829932579808761e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.023 Order of pole = 0.9073 x[1] = -0.225 y[1] (analytic) = 2.0251031369378815399373052670578 y[1] (numeric) = 2.0251031369378813352136469866619 absolute error = 2.047236582803959e-16 relative error = 1.0109295400626088636889892505916e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.023 Order of pole = 0.9074 x[1] = -0.224 y[1] (analytic) = 2.0248822984706171636973010853535 y[1] (numeric) = 2.0248822984706169594362812322098 absolute error = 2.042610198531437e-16 relative error = 1.0087550274276236327325622176241e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.023 Order of pole = 0.9074 x[1] = -0.223 y[1] (analytic) = 2.0246624122245724944806271402557 y[1] (numeric) = 2.0246624122245722906871276068897 absolute error = 2.037934995333660e-16 relative error = 1.0065554548891459000733709190323e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=705.7MB, alloc=4.6MB, time=72.31 Complex estimate of poles used Radius of convergence = 1.023 Order of pole = 0.9075 x[1] = -0.222 y[1] (analytic) = 2.0244434786052260634430643753652 y[1] (numeric) = 2.0244434786052258601219661822812 absolute error = 2.033210981930840e-16 relative error = 1.0043308214915708358018764045127e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.022 Order of pole = 0.9076 x[1] = -0.221 y[1] (analytic) = 2.0242254980165853361069338001788 y[1] (numeric) = 2.0242254980165851332631168977037 absolute error = 2.028438169024751e-16 relative error = 1.0020811273310673155530022487149e-14 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.022 Order of pole = 0.9076 x[1] = -0.22 y[1] (analytic) = 2.0240084708611825287795908537452 y[1] (numeric) = 2.0240084708611823264179339232552 absolute error = 2.023616569304900e-16 relative error = 9.9980637355923921550007254183871e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.022 Order of pole = 0.9077 x[1] = -0.219 y[1] (analytic) = 2.0237923975400704347706059144671 y[1] (numeric) = 2.0237923975400702328959861690092 absolute error = 2.018746197454579e-16 relative error = 9.9750656238672251379412126501960e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=709.5MB, alloc=4.6MB, time=72.69 Complex estimate of poles used Radius of convergence = 1.022 Order of pole = 0.9078 x[1] = -0.218 y[1] (analytic) = 2.0235772784528182605079968667847 y[1] (numeric) = 2.0235772784528180591252898511038 absolute error = 2.013827070156809e-16 relative error = 9.9518169708672354198859194376374e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.022 Order of pole = 0.9078 x[1] = -0.217 y[1] (analytic) = 2.0233631139975074716538502314682 y[1] (numeric) = 2.0233631139975072707679296214511 absolute error = 2.008859206100171e-16 relative error = 9.9283178199849582775362862443600e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.021 Order of pole = 0.9079 x[1] = -0.216 y[1] (analytic) = 2.0231499045707276493196338509372 y[1] (numeric) = 2.0231499045707274489353712524861 absolute error = 2.003842625984511e-16 relative error = 9.9045682253074901459424029724247e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.021 Order of pole = 0.9079 x[1] = -0.215 y[1] (analytic) = 2.0229376505675723564814664823935 y[1] (numeric) = 2.0229376505675721566037312297396 absolute error = 1.998777352526539e-16 relative error = 9.8805682516499965256146417287721e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.021 Order of pole = 0.908 x[1] = -0.214 y[1] (analytic) = 2.0227263523816350146955678777861 y[1] (numeric) = 2.0227263523816348153292268312558 absolute error = 1.993663410465303e-16 relative error = 9.8563179745885438214351751611023e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=713.3MB, alloc=4.6MB, time=73.08 Complex estimate of poles used Radius of convergence = 1.021 Order of pole = 0.908 x[1] = -0.213 y[1] (analytic) = 2.022516010405004791214067009187 y[1] (numeric) = 2.0225160104050045923639843524325 absolute error = 1.988500826567545e-16 relative error = 9.8318174804922888170652385726289e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.021 Order of pole = 0.9081 x[1] = -0.212 y[1] (analytic) = 2.02230662502826249660129601972 y[1] (numeric) = 2.0223066250282622982723330564259 absolute error = 1.983289629632941e-16 relative error = 9.8070668665550348014190506462676e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.02 Order of pole = 0.9081 x[1] = -0.211 y[1] (analytic) = 2.0220981966404764929506432326863 y[1] (numeric) = 2.0220981966404762951476581827648 absolute error = 1.978029850499215e-16 relative error = 9.7820662408261040356839399661220e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.02 Order of pole = 0.9081 x[1] = -0.21 y[1] (analytic) = 2.0218907256291986128019801241525 y[1] (numeric) = 2.0218907256291984155298279194387 absolute error = 1.972721522047138e-16 relative error = 9.7568157222405800799158803200833e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=717.1MB, alloc=4.6MB, time=73.47 Complex estimate of poles used Radius of convergence = 1.02 Order of pole = 0.9082 x[1] = -0.209 y[1] (analytic) = 2.0216842123804600888596145464275 y[1] (numeric) = 2.0216842123804598921231466258882 absolute error = 1.967364679205393e-16 relative error = 9.7313154406488251602025217248897e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.02 Order of pole = 0.9082 x[1] = -0.208 y[1] (analytic) = 2.0214786572787674946106556712418 y[1] (numeric) = 2.0214786572787672984147197757088 absolute error = 1.961959358955330e-16 relative error = 9.7055655368453904044924512966571e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.019 Order of pole = 0.9082 x[1] = -0.207 y[1] (analytic) = 2.0212740607070986959436050919695 y[1] (numeric) = 2.0212740607070985002930450584112 absolute error = 1.956505600335583e-16 relative error = 9.6795661625971796170617697250875e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.019 Order of pole = 0.9082 x[1] = -0.206 y[1] (analytic) = 2.0210704230468988138669132741008 y[1] (numeric) = 2.0210704230468986187665688294432 absolute error = 1.951003444446576e-16 relative error = 9.6533174806709992906940831653740e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=720.9MB, alloc=4.6MB, time=73.85 Complex estimate of poles used Radius of convergence = 1.019 Order of pole = 0.9082 x[1] = -0.205 y[1] (analytic) = 2.0208677446780761984271610628018 y[1] (numeric) = 2.0208677446780760038818676173128 absolute error = 1.945452934454890e-16 relative error = 9.6268196648603555120664311093119e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.019 Order of pole = 0.9082 x[1] = -0.204 y[1] (analytic) = 2.0206660259789984139264422364967 y[1] (numeric) = 2.0206660259789982199410306767459 absolute error = 1.939854115597508e-16 relative error = 9.6000729000115810119143471517995e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.019 Order of pole = 0.9082 x[1] = -0.203 y[1] (analytic) = 2.020465267326488235538435126928 y[1] (numeric) = 2.0204652673264880421177316083346 absolute error = 1.934207035185934e-16 relative error = 9.5730773820492717516543339061872e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.018 Order of pole = 0.9082 x[1] = -0.202 y[1] (analytic) = 2.020265469095819657422559100303 y[1] (numeric) = 2.0202654690958194645713848392852 absolute error = 1.928511742610178e-16 relative error = 9.5458333180009926317541262800591e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=724.8MB, alloc=4.6MB, time=74.23 Complex estimate of poles used Radius of convergence = 1.018 Order of pole = 0.9082 x[1] = -0.201 y[1] (analytic) = 2.0200666316607139124355152024139 y[1] (numeric) = 2.0200666316607137201586862681526 absolute error = 1.922768289342613e-16 relative error = 9.5183409260212811895477493954808e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.018 Order of pole = 0.9082 x[1] = -0.2 y[1] (analytic) = 2.0198687553933355035394095047534 y[1] (numeric) = 2.0198687553933353118417366105822 absolute error = 1.916976728941712e-16 relative error = 9.4906004354149880885922741875152e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.018 Order of pole = 0.9082 x[1] = -0.199 y[1] (analytic) = 2.0196718406642882470055526406589 y[1] (numeric) = 2.0196718406642880558918409350961 absolute error = 1.911137117055628e-16 relative error = 9.4626120866597704332299976657968e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.018 Order of pole = 0.9082 x[1] = -0.198 y[1] (analytic) = 2.019475887842611327512919682691 y[1] (numeric) = 2.0194758878426111369879685401241 absolute error = 1.905249511425669e-16 relative error = 9.4343761314279945168967763582162e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.018 Order of pole = 0.9081 x[1] = -0.197 y[1] (analytic) = 2.019280897295775365240140877317 y[1] (numeric) = 2.0192808972957751753087436883544 absolute error = 1.899313971889626e-16 relative error = 9.4058928326078393104442829131166e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=728.6MB, alloc=4.6MB, time=74.62 Complex estimate of poles used Radius of convergence = 1.017 Order of pole = 0.9081 x[1] = -0.196 y[1] (analytic) = 2.0190868693896784950497758133743 y[1] (numeric) = 2.0190868693896783057167197748774 absolute error = 1.893330560384969e-16 relative error = 9.3771624643236741504781206991083e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.017 Order of pole = 0.9081 x[1] = -0.195 y[1] (analytic) = 2.0188938044886424578635013498079 y[1] (numeric) = 2.0188938044886422691335672546174 absolute error = 1.887299340951905e-16 relative error = 9.3481853119556801376970763873232e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.017 Order of pole = 0.908 x[1] = -0.194 y[1] (analytic) = 2.0187017029554087043267170591935 y[1] (numeric) = 2.0187017029554085162046790855626 absolute error = 1.881220379736309e-16 relative error = 9.3189616721587689547271476558472e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.017 Order of pole = 0.908 x[1] = -0.193 y[1] (analytic) = 2.0185105651511345108609410502113 y[1] (numeric) = 2.0185105651511343233515665509598 absolute error = 1.875093744992515e-16 relative error = 9.2894918528807339646835949615447e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=732.4MB, alloc=4.6MB, time=75.01 Complex estimate of poles used Radius of convergence = 1.017 Order of pole = 0.9079 x[1] = -0.192 y[1] (analytic) = 2.018320391435389108202233808461 y[1] (numeric) = 2.0183203914353889213102830998648 absolute error = 1.868919507085962e-16 relative error = 9.2597761733796080494139739902856e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.016 Order of pole = 0.9079 x[1] = -0.191 y[1] (analytic) = 2.018131182166149822523748135004 y[1] (numeric) = 2.0181311821661496362539742854323 absolute error = 1.862697738495717e-16 relative error = 9.2298149642403364251494100167907e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.016 Order of pole = 0.9078 x[1] = -0.19 y[1] (analytic) = 2.017942937699798229240359360274 y[1] (numeric) = 2.0179429376997980435975079785891 absolute error = 1.856428513816849e-16 relative error = 9.1996085673906348992244048357389e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.016 Order of pole = 0.9078 x[1] = -0.189 y[1] (analytic) = 2.0177556583911163195931817622845 y[1] (numeric) = 2.0177556583911161345819907860182 absolute error = 1.850111909762663e-16 relative error = 9.1691573361160774051103947598461e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=736.2MB, alloc=4.6MB, time=75.40 Complex estimate of poles used Radius of convergence = 1.016 Order of pole = 0.9077 x[1] = -0.188 y[1] (analytic) = 2.0175693445932826801116245174373 y[1] (numeric) = 2.0175693445932824957368240007572 absolute error = 1.843748005166801e-16 relative error = 9.1384616350744467839444797999318e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.016 Order of pole = 0.9076 x[1] = -0.187 y[1] (analytic) = 2.0173839966578686850504835550322 y[1] (numeric) = 2.0173839966578685013167954565121 absolute error = 1.837336880985201e-16 relative error = 9.1075218403093035059683096788235e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.015 Order of pole = 0.9076 x[1] = -0.186 y[1] (analytic) = 2.0171996149348347018994043684375 y[1] (numeric) = 2.0171996149348345188115423386467 absolute error = 1.830878620297908e-16 relative error = 9.0763383392627418747251355498978e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.015 Order of pole = 0.9075 x[1] = -0.185 y[1] (analytic) = 2.0170161997725263100618851527106 y[1] (numeric) = 2.0170161997725261276245543216355 absolute error = 1.824373308310751e-16 relative error = 9.0449115307874024021582044301861e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=740.0MB, alloc=4.6MB, time=75.80 Complex estimate of poles used Radius of convergence = 1.015 Order of pole = 0.9074 x[1] = -0.184 y[1] (analytic) = 2.016833751517670532800819586469 y[1] (numeric) = 2.0168337515176703510187163507819 absolute error = 1.817821032356871e-16 relative error = 9.0132418251576653142334287630309e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.015 Order of pole = 0.9073 x[1] = -0.183 y[1] (analytic) = 2.0166522705153720825474041515086 y[1] (numeric) = 2.0166522705153719014252159616974 absolute error = 1.811221881898112e-16 relative error = 8.9813296440800839885429087915355e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.015 Order of pole = 0.9073 x[1] = -0.182 y[1] (analytic) = 2.0164717571091096196700560838333 y[1] (numeric) = 2.0164717571091094392124612312071 absolute error = 1.804575948526262e-16 relative error = 8.9491754207029932001603939468602e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.014 Order of pole = 0.9072 x[1] = -0.181 y[1] (analytic) = 2.0162922116407320247998048714953 y[1] (numeric) = 2.0162922116407318450114722750795 absolute error = 1.797883325964158e-16 relative error = 8.9167795996253609256433561110214e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.014 Order of pole = 0.9071 x[1] = -0.18 y[1] (analytic) = 2.0161136344504546848084326553211 y[1] (numeric) = 2.0161136344504545056940216486583 absolute error = 1.791144110066628e-16 relative error = 8.8841426369047491539853916089027e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=743.8MB, alloc=4.6MB, time=76.19 Complex estimate of poles used Radius of convergence = 1.014 Order of pole = 0.907 x[1] = -0.179 y[1] (analytic) = 2.0159360258768557925354469459108 y[1] (numeric) = 2.0159360258768556140996070637796 absolute error = 1.784358398821312e-16 relative error = 8.8512650000645913420923661979013e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.014 Order of pole = 0.9069 x[1] = -0.178 y[1] (analytic) = 2.0157593862568726603597727422036 y[1] (numeric) = 2.0157593862568724826071435072717 absolute error = 1.777526292349319e-16 relative error = 8.8181471681005726332686463662814e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.014 Order of pole = 0.9068 x[1] = -0.177 y[1] (analytic) = 2.0155837159257980477118504217063 y[1] (numeric) = 2.0155837159257978706470611311324 absolute error = 1.770647892905739e-16 relative error = 8.7847896314862064211561483984704e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.014 Order of pole = 0.9067 x[1] = -0.176 y[1] (analytic) = 2.0154090152172765026216206687416 y[1] (numeric) = 2.01540901521727632624929018074 absolute error = 1.763723304880016e-16 relative error = 8.7511928921776364162092713567306e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=747.7MB, alloc=4.6MB, time=76.57 Complex estimate of poles used Radius of convergence = 1.013 Order of pole = 0.9066 x[1] = -0.175 y[1] (analytic) = 2.01523528446330071739766821368 y[1] (numeric) = 2.0152352844633005417224047340635 absolute error = 1.756752634796165e-16 relative error = 8.7173574636175792728399142789731e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.013 Order of pole = 0.9065 x[1] = -0.174 y[1] (analytic) = 2.0150625239942078985325822722602 y[1] (numeric) = 2.0150625239942077235589831409764 absolute error = 1.749735991312838e-16 relative error = 8.6832838707384319660195857817010e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.013 Order of pole = 0.9064 x[1] = -0.173 y[1] (analytic) = 2.0148907341386761509293732992619 y[1] (numeric) = 2.0148907341386759766620247769362 absolute error = 1.742673485223257e-16 relative error = 8.6489726499646326545712740671010e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.013 Order of pole = 0.9063 x[1] = -0.172 y[1] (analytic) = 2.0147199152237208765435630047616 y[1] (numeric) = 2.0147199152237207029870400592639 absolute error = 1.735565229454977e-16 relative error = 8.6144243492140908497822692639601e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=751.5MB, alloc=4.6MB, time=76.97 Complex estimate of poles used Radius of convergence = 1.013 Order of pole = 0.9062 x[1] = -0.171 y[1] (analytic) = 2.0145500675746911875353375240975 y[1] (numeric) = 2.0145500675746910146942036171461 absolute error = 1.728411339069514e-16 relative error = 8.5796395278988599944717489869741e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.013 Order of pole = 0.9061 x[1] = -0.17 y[1] (analytic) = 2.0143811915152663340259221848711 y[1] (numeric) = 2.0143811915152661619047290586903 absolute error = 1.721211931261808e-16 relative error = 8.5446187569249030073326240301635e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.012 Order of pole = 0.906 x[1] = -0.169 y[1] (analytic) = 2.0142132873674521465521004765695 y[1] (numeric) = 2.0142132873674519751553879406137 absolute error = 1.713967125359558e-16 relative error = 8.5093626186911338947848674290400e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.012 Order of pole = 0.9059 x[1] = -0.168 y[1] (analytic) = 2.0140463554515774933125596016997 y[1] (numeric) = 2.0140463554515773226448553194622 absolute error = 1.706677042822375e-16 relative error = 8.4738717070874668402859185566866e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=755.3MB, alloc=4.6MB, time=77.36 Complex estimate of poles used Radius of convergence = 1.012 Order of pole = 0.9058 x[1] = -0.167 y[1] (analytic) = 2.0138803960862907522995003730528 y[1] (numeric) = 2.0138803960862905823653196489714 absolute error = 1.699341807240814e-16 relative error = 8.4381466274921750514424334650941e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.012 Order of pole = 0.9057 x[1] = -0.166 y[1] (analytic) = 2.0137154095885562984087002214751 y[1] (numeric) = 2.0137154095885561292125457879522 absolute error = 1.691961544335229e-16 relative error = 8.4021879967682808420561917489009e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.012 Order of pole = 0.9056 x[1] = -0.165 y[1] (analytic) = 2.0135513962736510056209646943083 y[1] (numeric) = 2.0135513962736508371673264988592 absolute error = 1.684536381954491e-16 relative error = 8.3659964432591750244455706235754e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.012 Order of pole = 0.9055 x[1] = -0.164 y[1] (analytic) = 2.0133883564551607643476450587197 y[1] (numeric) = 2.0133883564551605966410000512652 absolute error = 1.677066450074545e-16 relative error = 8.3295726067833459575283676238266e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.011 Order of pole = 0.9054 x[1] = -0.163 y[1] (analytic) = 2.0132262904449770140326374790783 y[1] (numeric) = 2.0132262904449768470774493993968 absolute error = 1.669551880796815e-16 relative error = 8.2929171386282624463607177566711e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=759.1MB, alloc=4.6MB, time=77.75 Complex estimate of poles used Radius of convergence = 1.011 Order of pole = 0.9053 x[1] = -0.162 y[1] (analytic) = 2.0130651985532932911030127162403 y[1] (numeric) = 2.0130651985532931249037318815945 absolute error = 1.661992808346458e-16 relative error = 8.2560307015434149896299230508478e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.011 Order of pole = 0.9052 x[1] = -0.161 y[1] (analytic) = 2.0129050810886017923601544023041 y[1] (numeric) = 2.0129050810886016269212174952576 absolute error = 1.654389369070465e-16 relative error = 8.2189139697325049829449897689956e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.011 Order of pole = 0.9051 x[1] = -0.16 y[1] (analytic) = 2.0127459383576899539030086806166 y[1] (numeric) = 2.0127459383576897892288385370569 absolute error = 1.646741701435597e-16 relative error = 8.1815676288447218080954752980183e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.011 Order of pole = 0.9051 x[1] = -0.159 y[1] (analytic) = 2.0125877706656370456747683714127 y[1] (numeric) = 2.0125877706656368817697737687948 absolute error = 1.639049946026179e-16 relative error = 8.1439923759652216185655706268753e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=762.9MB, alloc=4.6MB, time=78.13 Complex estimate of poles used Radius of convergence = 1.011 Order of pole = 0.905 x[1] = -0.158 y[1] (analytic) = 2.0124305783158107817240308326073 y[1] (numeric) = 2.012430578315810618592606278434 absolute error = 1.631314245541733e-16 relative error = 8.1061889196047130131099402621557e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.01 Order of pole = 0.9049 x[1] = -0.157 y[1] (analytic) = 2.0122743616098639462711803374322 y[1] (numeric) = 2.0122743616098637839177058579868 absolute error = 1.623534744794454e-16 relative error = 8.0681579796881690405675548812582e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.01 Order of pole = 0.9048 x[1] = -0.156 y[1] (analytic) = 2.0121191208477310356704530906162 y[1] (numeric) = 2.0121191208477308740992940199624 absolute error = 1.615711590706538e-16 relative error = 8.0299002875427098535353858692197e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.01 Order of pole = 0.9047 x[1] = -0.155 y[1] (analytic) = 2.0119648563276249163578459577729 y[1] (numeric) = 2.0119648563276247555733527270389 absolute error = 1.607844932307340e-16 relative error = 7.9914165858845462902404059754729e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=766.7MB, alloc=4.6MB, time=78.52 Complex estimate of poles used Radius of convergence = 1.01 Order of pole = 0.9046 x[1] = -0.154 y[1] (analytic) = 2.0118115683460334988747285940359 y[1] (numeric) = 2.0118115683460333388812365209962 absolute error = 1.599934920730397e-16 relative error = 7.9527076288051579359826033548517e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.01 Order of pole = 0.9045 x[1] = -0.153 y[1] (analytic) = 2.0116592571977164280567129335191 y[1] (numeric) = 2.0116592571977162688585420124921 absolute error = 1.591981709210270e-16 relative error = 7.9137741817564766816449339241078e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.01 Order of pole = 0.9045 x[1] = -0.152 y[1] (analytic) = 2.0115079231757017894770239469875 y[1] (numeric) = 2.0115079231757016310784786390627 absolute error = 1.583985453079248e-16 relative error = 7.8746170215352891244217173692828e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.009 Order of pole = 0.9044 x[1] = -0.151 y[1] (analytic) = 2.0113575665712828322333011975849 y[1] (numeric) = 2.0113575665712826746386702211957 absolute error = 1.575946309763892e-16 relative error = 7.8352369362667481331514569988050e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.009 Order of pole = 0.9043 memory used=770.5MB, alloc=4.6MB, time=78.91 x[1] = -0.15 y[1] (analytic) = 2.0112081876740147081664420303267 y[1] (numeric) = 2.0112081876740145513799981521855 absolute error = 1.567864438781412e-16 relative error = 7.7956347253869584290808814990351e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.009 Order of pole = 0.9043 x[1] = -0.149 y[1] (analytic) = 2.0110597867717112275997742273791 y[1] (numeric) = 2.0110597867717110716257740537889 absolute error = 1.559740001735902e-16 relative error = 7.7558111996247601452985837481899e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.009 Order of pole = 0.9042 x[1] = -0.148 y[1] (analytic) = 2.0109123641504416316865186552697 y[1] (numeric) = 2.0109123641504414765292024238293 absolute error = 1.551573162314404e-16 relative error = 7.7157671809825658795241722911090e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.009 Order of pole = 0.9042 x[1] = -0.147 y[1] (analytic) = 2.0107659200945273814531708298313 y[1] (numeric) = 2.0107659200945272271167622015489 absolute error = 1.543364086282824e-16 relative error = 7.6755035027163652905722518469698e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.009 Order of pole = 0.9041 x[1] = -0.146 y[1] (analytic) = 2.0106204548865389636260944378666 y[1] (numeric) = 2.0106204548865388101148002896979 absolute error = 1.535112941481687e-16 relative error = 7.6350210093148323194858789733756e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=774.4MB, alloc=4.6MB, time=79.29 Complex estimate of poles used Radius of convergence = 1.009 Order of pole = 0.904 x[1] = -0.145 y[1] (analytic) = 2.0104759688072927133282796895999 y[1] (numeric) = 2.0104759688072925606462899074261 absolute error = 1.526819897821738e-16 relative error = 7.5943205564775695702702833516126e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.008 Order of pole = 0.904 x[1] = -0.144 y[1] (analytic) = 2.0103324621358476537328749416061 y[1] (numeric) = 2.0103324621358475018843622136686 absolute error = 1.518485127279375e-16 relative error = 7.5534030110924199577712743475386e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.008 Order of pole = 0.904 x[1] = -0.143 y[1] (analytic) = 2.0101899351495023527597513350865 y[1] (numeric) = 2.0101899351495022017488709458922 absolute error = 1.510108803891943e-16 relative error = 7.5122692512119896134984240228249e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.008 Order of pole = 0.9039 x[1] = -0.142 y[1] (analytic) = 2.0100483881237917969010072483838 y[1] (numeric) = 2.0100483881237916467318968730991 absolute error = 1.501691103752847e-16 relative error = 7.4709201660291729097136925618245e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=778.2MB, alloc=4.6MB, time=79.68 Complex estimate of poles used Radius of convergence = 1.008 Order of pole = 0.9039 x[1] = -0.141 y[1] (analytic) = 2.009907821332484282260962175172 y[1] (numeric) = 2.0099078213324841329377416745189 absolute error = 1.493232205006531e-16 relative error = 7.4293566558519131632447011014206e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.008 Order of pole = 0.9039 x[1] = -0.14 y[1] (analytic) = 2.0097682350475783228958282207455 y[1] (numeric) = 2.0097682350475781744225994364173 absolute error = 1.484732287843282e-16 relative error = 7.3875796320769948634631479744601e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.008 Order of pole = 0.9038 x[1] = -0.139 y[1] (analytic) = 2.0096296295392995765378817685872 y[1] (numeric) = 2.0096296295392994289187283191987 absolute error = 1.476191534493885e-16 relative error = 7.3455900171629965624492214735522e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.008 Order of pole = 0.9038 x[1] = -0.138 y[1] (analytic) = 2.0094920050760977877885880185071 y[1] (numeric) = 2.0094920050760976410275750960956 absolute error = 1.467610129224115e-16 relative error = 7.3033887446023345950936934848799e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=782.0MB, alloc=4.6MB, time=80.06 Complex estimate of poles used Radius of convergence = 1.007 Order of pole = 0.9038 x[1] = -0.137 y[1] (analytic) = 2.0093553619246437488647570470626 y[1] (numeric) = 2.0093553619246436029659312141546 absolute error = 1.458988258329080e-16 relative error = 7.2609767588924671195767626355554e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.007 Order of pole = 0.9038 x[1] = -0.136 y[1] (analytic) = 2.0092197003498262779814318019482 y[1] (numeric) = 2.009219700349826132948820789209 absolute error = 1.450326110127392e-16 relative error = 7.2183550155061438685758880673227e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.007 Order of pole = 0.9038 x[1] = -0.135 y[1] (analytic) = 2.0090850206147492154548260261756 y[1] (numeric) = 2.0090850206147490712924385306552 absolute error = 1.441623874955204e-16 relative error = 7.1755244808608905734182765995809e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.007 Order of pole = 0.9038 x[1] = -0.134 y[1] (analytic) = 2.0089513229807284376082435270427 y[1] (numeric) = 2.0089513229807282943200690110366 absolute error = 1.432881745160061e-16 relative error = 7.1324861322874691431768034799804e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.007 Order of pole = 0.9038 x[1] = -0.133 y[1] (analytic) = 2.0088186077072888885635194713723 y[1] (numeric) = 2.0088186077072887461535279619108 absolute error = 1.424099915094615e-16 relative error = 7.0892409579975623165157809220548e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=785.8MB, alloc=4.6MB, time=80.45 Complex estimate of poles used Radius of convergence = 1.007 Order of pole = 0.9038 x[1] = -0.132 y[1] (analytic) = 2.0086868750521616300001295148152 y[1] (numeric) = 2.0086868750521614884722714037976 absolute error = 1.415278581110176e-16 relative error = 7.0457899570505433362786826259368e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.007 Order of pole = 0.9038 x[1] = -0.131 y[1] (analytic) = 2.0085561252712809089637135720609 y[1] (numeric) = 2.00855612527128076832191941705 absolute error = 1.406417941550109e-16 relative error = 7.0021341393193803265017492600941e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.006 Order of pole = 0.9038 x[1] = -0.13 y[1] (analytic) = 2.0084263586187812438053579197707 y[1] (numeric) = 2.0084263586187811040535382454643 absolute error = 1.397518196743064e-16 relative error = 6.9582745254556105733001143231934e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.006 Order of pole = 0.9038 x[1] = -0.129 y[1] (analytic) = 2.0082975753469945283325721084757 y[1] (numeric) = 2.0082975753469943894746172088692 absolute error = 1.388579548996065e-16 relative error = 6.9142121468535140850883236677593e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=789.6MB, alloc=4.6MB, time=80.84 Complex estimate of poles used Radius of convergence = 1.006 Order of pole = 0.9039 x[1] = -0.128 y[1] (analytic) = 2.0081697757064471542524858574078 y[1] (numeric) = 2.0081697757064470162922655986646 absolute error = 1.379602202587432e-16 relative error = 6.8699480456133569450391798069699e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.006 Order of pole = 0.9039 x[1] = -0.127 y[1] (analytic) = 2.0080429599458571519873757314285 y[1] (numeric) = 2.0080429599458570149287393554734 absolute error = 1.370586363759551e-16 relative error = 6.8254832745037790942202586746010e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.006 Order of pole = 0.9039 x[1] = -0.126 y[1] (analytic) = 2.0079171283121313499422119663813 y[1] (numeric) = 2.007917128312131213788987895233 absolute error = 1.361532240711483e-16 relative error = 6.7808188969232817082626506806447e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.006 Order of pole = 0.904 x[1] = -0.125 y[1] (analytic) = 2.0077922810503625523034923331243 y[1] (numeric) = 2.0077922810503624170594879739815 absolute error = 1.352440043591428e-16 relative error = 6.7359559868608938358089523500626e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=793.4MB, alloc=4.6MB, time=81.22 Complex estimate of poles used Radius of convergence = 1.006 Order of pole = 0.904 x[1] = -0.124 y[1] (analytic) = 2.0076684184038267354482024263391 y[1] (numeric) = 2.0076684184038266011172039774369 absolute error = 1.343309984489022e-16 relative error = 6.6908956288559087454721673719246e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.006 Order of pole = 0.9041 x[1] = -0.123 y[1] (analytic) = 2.0075455406139802630413102474131 y[1] (numeric) = 2.0075455406139801296270825046642 absolute error = 1.334142277427489e-16 relative error = 6.6456389179567995598621965983788e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.005 Order of pole = 0.9041 x[1] = -0.122 y[1] (analytic) = 2.0074236479204571198997674370214 y[1] (numeric) = 2.0074236479204569874060536014586 absolute error = 1.324937138355628e-16 relative error = 6.6001869596792145989369565603743e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.005 Order of pole = 0.9042 x[1] = -0.121 y[1] (analytic) = 2.0073027405610661647005500185945 y[1] (numeric) = 2.0073027405610660331310715046288 absolute error = 1.315694785139657e-16 relative error = 6.5545408699631620553244310900396e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=797.2MB, alloc=4.6MB, time=81.63 Complex estimate of poles used Radius of convergence = 1.005 Order of pole = 0.9042 x[1] = -0.12 y[1] (analytic) = 2.0071828187717884016098280550437 y[1] (numeric) = 2.0071828187717882709682842995543 absolute error = 1.306415437554894e-16 relative error = 6.5087017751292844419007571675639e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.005 Order of pole = 0.9043 x[1] = -0.119 y[1] (analytic) = 2.0070638827867742709099062146693 y[1] (numeric) = 2.0070638827867741411999744869409 absolute error = 1.297099317277284e-16 relative error = 6.4626708118342677066261722152224e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.005 Order of pole = 0.9044 x[1] = -0.118 y[1] (analytic) = 2.006945932838340958700125905136 y[1] (numeric) = 2.0069459328383408299254611176572 absolute error = 1.287746647874788e-16 relative error = 6.4164491270254648232341547090950e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.005 Order of pole = 0.9044 x[1] = -0.117 y[1] (analytic) = 2.0068289691569697257474643841167 y[1] (numeric) = 2.0068289691569695979116989042571 absolute error = 1.278357654798596e-16 relative error = 6.3700378778945446353609684764256e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.005 Order of pole = 0.9045 x[1] = -0.116 y[1] (analytic) = 2.0067129919713032555621071093799 y[1] (numeric) = 2.0067129919713031286688505719596 absolute error = 1.268932565374203e-16 relative error = 6.3234382318303603681993987652958e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=801.1MB, alloc=4.6MB, time=82.02 Complex estimate of poles used Radius of convergence = 1.005 Order of pole = 0.9046 x[1] = -0.115 y[1] (analytic) = 2.0065980015081430217728065676888 y[1] (numeric) = 2.0065980015081428958256456884555 absolute error = 1.259471608792333e-16 relative error = 6.2766513663709632132130503139745e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.005 Order of pole = 0.9047 x[1] = -0.114 y[1] (analytic) = 2.0064839979924466748763739392171 y[1] (numeric) = 2.0064839979924465498788723292471 absolute error = 1.249975016099700e-16 relative error = 6.2296784691547063047612595917075e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.004 Order of pole = 0.9048 x[1] = -0.113 y[1] (analytic) = 2.0063709816473254484351792308803 y[1] (numeric) = 2.0063709816473253243908772119169 absolute error = 1.240443020189634e-16 relative error = 6.1825207378705787765269380198723e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.004 Order of pole = 0.9048 x[1] = -0.112 y[1] (analytic) = 2.0062589526940415847960609669493 y[1] (numeric) = 2.0062589526940414617084753876954 absolute error = 1.230875855792539e-16 relative error = 6.1351793802076056131923484230052e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=804.9MB, alloc=4.6MB, time=82.40 Complex estimate of poles used Radius of convergence = 1.004 Order of pole = 0.9049 x[1] = -0.111 y[1] (analytic) = 2.0061479113520057804035681778169 y[1] (numeric) = 2.0061479113520056582761922311952 absolute error = 1.221273759466217e-16 relative error = 6.0876556138034829251605178093833e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.004 Order of pole = 0.905 x[1] = -0.11 y[1] (analytic) = 2.0060378578387746507799752973531 y[1] (numeric) = 2.0060378578387745296162783387496 absolute error = 1.211636969586035e-16 relative error = 6.0399506661923342203587565270829e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.004 Order of pole = 0.9051 x[1] = -0.109 y[1] (analytic) = 2.0059287923700482152440246857907 y[1] (numeric) = 2.0059287923700480950474520522971 absolute error = 1.201965726334936e-16 relative error = 5.9920657747515928543630820110962e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.004 Order of pole = 0.9052 x[1] = -0.108 y[1] (analytic) = 2.0058207151596674014398618586876 y[1] (numeric) = 2.0058207151596672822138346893556 absolute error = 1.192260271693320e-16 relative error = 5.9440021866481404928082192311830e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=808.7MB, alloc=4.6MB, time=82.79 Complex estimate of poles used Radius of convergence = 1.004 Order of pole = 0.9053 x[1] = -0.107 y[1] (analytic) = 2.0057136264196115697471351436803 y[1] (numeric) = 2.0057136264196114514950502008047 absolute error = 1.182520849428756e-16 relative error = 5.8957611587835074144870290480898e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.004 Order of pole = 0.9054 x[1] = -0.106 y[1] (analytic) = 2.0056075263599960576427344262784 y[1] (numeric) = 2.0056075263599959403679639177223 absolute error = 1.172747705085561e-16 relative error = 5.8473439577383143642696636585652e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.004 Order of pole = 0.9055 x[1] = -0.105 y[1] (analytic) = 2.0055024151890697440841429049052 y[1] (numeric) = 2.0055024151890696277900343074821 absolute error = 1.162941085974231e-16 relative error = 5.7987518597158814540126447838032e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.004 Order of pole = 0.9056 x[1] = -0.104 y[1] (analytic) = 2.0053982931132126339838713751768 y[1] (numeric) = 2.0053982931132125186737472591053 absolute error = 1.153101241160715e-16 relative error = 5.7499861504849595095036897619946e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=812.5MB, alloc=4.6MB, time=83.17 Complex estimate of poles used Radius of convergence = 1.003 Order of pole = 0.9057 x[1] = -0.103 y[1] (analytic) = 2.0052951603369334628439365257082 y[1] (numeric) = 2.0052951603369333485210943801522 absolute error = 1.143228421455560e-16 relative error = 5.7010481253217237672360506767085e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.003 Order of pole = 0.9058 x[1] = -0.102 y[1] (analytic) = 2.0051930170628673216188330745262 y[1] (numeric) = 2.0051930170628672082865451342364 absolute error = 1.133322879402898e-16 relative error = 5.6519390889508856331334761855583e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.003 Order of pole = 0.9059 x[1] = -0.101 y[1] (analytic) = 2.0050918634917733018749343287574 y[1] (numeric) = 2.0050918634917731895364474018278 absolute error = 1.123384869269296e-16 relative error = 5.6026603554860275335419097968133e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.003 Order of pole = 0.906 x[1] = -0.1 y[1] (analytic) = 2.0049916998225321613137369332157 y[1] (numeric) = 2.00499169982253204997227222997 absolute error = 1.113414647032457e-16 relative error = 5.5532132483691013548594672974371e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.003 Order of pole = 0.9061 x[1] = -0.099 y[1] (analytic) = 2.0048925262521440097258432087367 y[1] (numeric) = 2.0048925262521438993845961717579 absolute error = 1.103412470369788e-16 relative error = 5.5035991003091706148265139231427e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=816.3MB, alloc=4.6MB, time=83.56 Complex estimate of poles used Radius of convergence = 1.003 Order of pole = 0.9062 x[1] = -0.098 y[1] (analytic) = 2.0047943429757260154420485917569 y[1] (numeric) = 2.0047943429757259061041887270755 absolute error = 1.093378598646814e-16 relative error = 5.4538192532202919949752309576419e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.003 Order of pole = 0.9063 x[1] = -0.097 y[1] (analytic) = 2.0046971501865101323473722962083 y[1] (numeric) = 2.0046971501865100240160430056625 absolute error = 1.083313292905458e-16 relative error = 5.4038750581586363544808594002393e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.003 Order of pole = 0.9064 x[1] = -0.096 y[1] (analytic) = 2.0046009480758408475233364510348 y[1] (numeric) = 2.0046009480758407402016548658164 absolute error = 1.073216815852184e-16 relative error = 5.3537678752588346610405562651523e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.003 Order of pole = 0.9065 x[1] = -0.095 y[1] (analytic) = 2.0045057368331729495832626456079 y[1] (numeric) = 2.0045057368331728432743194610089 absolute error = 1.063089431845990e-16 relative error = 5.3034990736694843928741416863634e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=820.1MB, alloc=4.6MB, time=83.94 Complex estimate of poles used Radius of convergence = 1.003 Order of pole = 0.9066 x[1] = -0.094 y[1] (analytic) = 2.0044115166460693177648150653633 y[1] (numeric) = 2.0044115166460692124716743767363 absolute error = 1.052931406886270e-16 relative error = 5.2530700314879116013748792283695e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.002 Order of pole = 0.9067 x[1] = -0.093 y[1] (analytic) = 2.0043182877001987318434762457275 y[1] (numeric) = 2.0043182877001986275691753856738 absolute error = 1.042743008600537e-16 relative error = 5.2024821356941491629211567692084e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.002 Order of pole = 0.9068 x[1] = -0.092 y[1] (analytic) = 2.0042260501793337029300949387761 y[1] (numeric) = 2.0042260501793335996776443155756 absolute error = 1.032524506232005e-16 relative error = 5.1517367820841216819568246188762e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.002 Order of pole = 0.9069 x[1] = -0.091 y[1] (analytic) = 2.0041348042653483252150956992604 y[1] (numeric) = 2.0041348042653482229874786365563 absolute error = 1.022276170627041e-16 relative error = 5.1008353752020923818017834783096e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=823.9MB, alloc=4.6MB, time=84.33 Complex estimate of poles used Radius of convergence = 1.002 Order of pole = 0.907 x[1] = -0.09 y[1] (analytic) = 2.0040445501382161487213865801458 y[1] (numeric) = 2.0040445501382160475215591578982 absolute error = 1.011998274222476e-16 relative error = 5.0497793282723175736554008890787e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.002 Order of pole = 0.9071 x[1] = -0.089 y[1] (analytic) = 2.0039552879760080731274448083831 y[1] (numeric) = 2.0039552879760079729583357051045 absolute error = 1.001691091032786e-16 relative error = 4.9985700631299640690496073012045e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.002 Order of pole = 0.9071 x[1] = -0.088 y[1] (analytic) = 2.0038670179548902627215005153322 y[1] (numeric) = 2.0038670179548901635860108516189 absolute error = 9.91354896637133e-17 relative error = 4.9472090101512401351923184019357e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.002 Order of pole = 0.9072 x[1] = -0.087 y[1] (analytic) = 2.0037797402491220825471755493932 y[1] (numeric) = 2.0037797402491219844481787327654 absolute error = 9.80989968166278e-17 relative error = 4.8956976081828003792114768584895e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=827.8MB, alloc=4.6MB, time=84.71 Complex estimate of poles used Radius of convergence = 1.002 Order of pole = 0.9073 x[1] = -0.086 y[1] (analytic) = 2.0036934550310540558003681275725 y[1] (numeric) = 2.0036934550310539587407096986363 absolute error = 9.70596584289362e-17 relative error = 4.8440373044704051275387887245591e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.002 Order of pole = 0.9074 x[1] = -0.085 y[1] (analytic) = 2.0036081624711258425366046147879 y[1] (numeric) = 2.0036081624711257465191020947321 absolute error = 9.60175025200558e-17 relative error = 4.7922295545868498081444993274569e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.002 Order of pole = 0.9075 x[1] = -0.084 y[1] (analytic) = 2.0035238627378642397475070818404 y[1] (numeric) = 2.0035238627378641447749498212816 absolute error = 9.49725572605588e-17 relative error = 4.7402758223591349390883810528736e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.002 Order of pole = 0.9075 x[1] = -0.083 y[1] (analytic) = 2.0034405559978812028644495125632 y[1] (numeric) = 2.003440555997881108939598541752 absolute error = 9.39248509708112e-17 relative error = 4.6881775797949122166153361411494e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.002 Order of pole = 0.9076 x[1] = -0.082 y[1] (analytic) = 2.0033582424158718887468966353756 y[1] (numeric) = 2.0033582424158717958724845157762 absolute error = 9.28744121195994e-17 relative error = 4.6359363070082322360266974152799e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=831.6MB, alloc=4.6MB, time=85.10 Complex estimate of poles used Radius of convergence = 1.001 Order of pole = 0.9077 x[1] = -0.081 y[1] (analytic) = 2.0032769221546127202123373722674 y[1] (numeric) = 2.0032769221546126283910680495238 absolute error = 9.18212693227436e-17 relative error = 4.5835534921445495124316980788037e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.001 Order of pole = 0.9077 x[1] = -0.08 y[1] (analytic) = 2.0031965953749594721641398573255 y[1] (numeric) = 2.0031965953749593813986885156266 absolute error = 9.07654513416989e-17 relative error = 4.5310306313050303213630993808662e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.001 Order of pole = 0.9078 x[1] = -0.079 y[1] (analytic) = 2.0031172622358453793730669057593 y[1] (numeric) = 2.0031172622358452896660798236158 absolute error = 8.97069870821435e-17 relative error = 4.4783692284701340217090058208266e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.001 Order of pole = 0.9079 x[1] = -0.078 y[1] (analytic) = 2.0030389228942792659675997417087 y[1] (numeric) = 2.0030389228942791773216941491531 absolute error = 8.86459055925556e-17 relative error = 4.4255707954225483580402822204272e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=835.4MB, alloc=4.6MB, time=85.48 Complex estimate of poles used Radius of convergence = 1.001 Order of pole = 0.9079 x[1] = -0.077 y[1] (analytic) = 2.0029615775053436966876237479181 y[1] (numeric) = 2.0029615775053436091053876851419 absolute error = 8.75822360627762e-17 relative error = 4.3726368516693396006691760997715e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.001 Order of pole = 0.908 x[1] = -0.076 y[1] (analytic) = 2.002885226222193149955433011875 y[1] (numeric) = 2.0028852262221930634394251893134 absolute error = 8.65160078225616e-17 relative error = 4.3195689243635078739384892828587e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.001 Order of pole = 0.908 x[1] = -0.075 y[1] (analytic) = 2.0028098691960522128174105407256 y[1] (numeric) = 2.0028098691960521273701602006027 absolute error = 8.54472503401229e-17 relative error = 4.2663685482248135484027425713713e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.001 Order of pole = 0.908 x[1] = -0.074 y[1] (analytic) = 2.0027355065762137978091382309484 y[1] (numeric) = 2.0027355065762137134331450102947 absolute error = 8.43759932206537e-17 relative error = 4.2130372654599352756259089479404e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=839.2MB, alloc=4.6MB, time=85.86 Complex estimate of poles used Radius of convergence = 1.001 Order of pole = 0.9081 x[1] = -0.073 y[1] (analytic) = 2.0026621385100373817960850383761 y[1] (numeric) = 2.0026621385100372984938188335307 absolute error = 8.33022662048454e-17 relative error = 4.1595766256819303928224532927861e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.001 Order of pole = 0.9081 x[1] = -0.072 y[1] (analytic) = 2.0025897651429472668414133299457 y[1] (numeric) = 2.0025897651429471846153141625531 absolute error = 8.22260991673926e-17 relative error = 4.1059881858291232259207085778356e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.001 Order of pole = 0.9081 x[1] = -0.071 y[1] (analytic) = 2.0025183866184308631518321410058 y[1] (numeric) = 2.0025183866184307820043100255212 absolute error = 8.11475221154846e-17 relative error = 4.0522735100832222748100792138202e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.001 Order of pole = 0.9081 x[1] = -0.07 y[1] (analytic) = 2.0024480030780369941518120418515 y[1] (numeric) = 2.0024480030780369140852468545646 absolute error = 8.00665651872869e-17 relative error = 3.9984341697868617345945323075710e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=843.0MB, alloc=4.6MB, time=86.24 Complex estimate of poles used Radius of convergence = 1.001 Order of pole = 0.9082 x[1] = -0.069 y[1] (analytic) = 2.0023786146613742237358595653429 y[1] (numeric) = 2.0023786146613741447526009149316 absolute error = 7.89832586504113e-17 relative error = 3.9444717433604981873257850525005e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.001 Order of pole = 0.9082 x[1] = -0.068 y[1] (analytic) = 2.0023102215061092057479296951927 y[1] (numeric) = 2.0023102215061091278502967948187 absolute error = 7.78976329003740e-17 relative error = 3.8903878162186332425869212250513e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1 Order of pole = 0.9082 x[1] = -0.067 y[1] (analytic) = 2.0022428237479650557364327932283 y[1] (numeric) = 2.0022428237479649789267143341854 absolute error = 7.68097184590429e-17 relative error = 3.8361839806854228065181168630867e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1 Order of pole = 0.9082 x[1] = -0.066 y[1] (analytic) = 2.0021764215207197450326675852889 y[1] (numeric) = 2.0021764215207196693131216122143 absolute error = 7.57195459730746e-17 relative error = 3.7818618359096987233256032554624e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1 Order of pole = 0.9082 x[1] = -0.065 y[1] (analytic) = 2.0021110149562045171998844613138 y[1] (numeric) = 2.0021110149562044425727382489744 absolute error = 7.46271462123394e-17 relative error = 3.7274229877793186654787194317317e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=846.8MB, alloc=4.6MB, time=86.65 Complex estimate of poles used Radius of convergence = 1 Order of pole = 0.9082 x[1] = -0.064 y[1] (analytic) = 2.0020466041843023268995534077383 y[1] (numeric) = 2.0020466041843022533670033394016 absolute error = 7.35325500683367e-17 relative error = 3.6728690488349649266717901562045e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1 Order of pole = 0.9081 x[1] = -0.063 y[1] (analytic) = 2.0019831893329463012207784118672 y[1] (numeric) = 2.0019831893329462287849898592688 absolute error = 7.24357885525984e-17 relative error = 3.6182016381832730501993831009985e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1 Order of pole = 0.9081 x[1] = -0.062 y[1] (analytic) = 2.0019207705281182235181651910272 y[1] (numeric) = 2.0019207705281181521812723959437 absolute error = 7.13368927950835e-17 relative error = 3.5634223814094509356057937784963e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1 Order of pole = 0.9081 x[1] = -0.061 y[1] (analytic) = 2.0018593478938470398028116367743 y[1] (numeric) = 2.0018593478938469695669175942133 absolute error = 7.02358940425610e-17 relative error = 3.5085329104892443994010763053383e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=850.7MB, alloc=4.6MB, time=87.03 Complex estimate of poles used Radius of convergence = 1 Order of pole = 0.9081 x[1] = -0.06 y[1] (analytic) = 2.0017989215522073877304504592681 y[1] (numeric) = 2.0017989215522073185976268022846 absolute error = 6.91328236569835e-17 relative error = 3.4535348637003699006789410987620e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.9999 Order of pole = 0.908 x[1] = -0.059 y[1] (analytic) = 2.0017394916233181482301312023208 y[1] (numeric) = 2.0017394916233180802024180884714 absolute error = 6.80277131138494e-17 relative error = 3.3984298855333103766295432636641e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.9999 Order of pole = 0.908 x[1] = -0.058 y[1] (analytic) = 2.001681058225341019816184109022 y[1] (numeric) = 2.0016810582253409528955901084649 absolute error = 6.69205940005571e-17 relative error = 3.3432196266016448859616990501184e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.9998 Order of pole = 0.908 x[1] = -0.057 y[1] (analytic) = 2.0016236214744791156255612848487 y[1] (numeric) = 2.0016236214744790498140632701009 absolute error = 6.58114980147478e-17 relative error = 3.2879057435517430829416483209562e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=854.5MB, alloc=4.6MB, time=87.40 Complex estimate of poles used Radius of convergence = 0.9997 Order of pole = 0.9079 x[1] = -0.056 y[1] (analytic) = 2.0015671814849755832220012636497 y[1] (numeric) = 2.0015671814849755185215443010105 absolute error = 6.47004569626392e-17 relative error = 3.2324898989719402908149778033926e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.9997 Order of pole = 0.9079 x[1] = -0.055 y[1] (analytic) = 2.0015117383691122472078114658659 y[1] (numeric) = 2.0015117383691121836203087085164 absolute error = 6.35875027573495e-17 relative error = 3.1769737613011640882247347106621e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.9996 Order of pole = 0.9078 x[1] = -0.054 y[1] (analytic) = 2.0014572922372082746834091820662 y[1] (numeric) = 2.0014572922372082122107417648537 absolute error = 6.24726674172125e-17 relative error = 3.1213590047370532729902489295313e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.9996 Order of pole = 0.9078 x[1] = -0.053 y[1] (analytic) = 2.0014038431976188635941056527724 y[1] (numeric) = 2.0014038431976188022381225886898 absolute error = 6.13559830640826e-17 relative error = 3.0656473091435101549301520071005e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=858.3MB, alloc=4.6MB, time=87.78 Complex estimate of poles used Radius of convergence = 0.9995 Order of pole = 0.9077 x[1] = -0.052 y[1] (analytic) = 2.00135139135673395400295958225 y[1] (numeric) = 2.0013513913567338937654776606184 absolute error = 6.02374819216316e-17 relative error = 3.0098403599577820202362301087517e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.9995 Order of pole = 0.9076 x[1] = -0.051 y[1] (analytic) = 2.0012999368189769623278660542695 y[1] (numeric) = 2.0012999368189769032106697406342 absolute error = 5.91171963136353e-17 relative error = 2.9539398480969727649590566723588e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.9994 Order of pole = 0.9076 x[1] = -0.05 y[1] (analytic) = 2.0012494796868035385803843468196 y[1] (numeric) = 2.0012494796868034805852256845664 absolute error = 5.79951586622532e-17 relative error = 2.8979474698641505170766516392395e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.9994 Order of pole = 0.9075 x[1] = -0.049 y[1] (analytic) = 2.0012000200607003466431436055486 y[1] (numeric) = 2.0012000200607002897717421192514 absolute error = 5.68714014862972e-17 relative error = 2.8418649268538473299770302421346e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.9993 Order of pole = 0.9074 x[1] = -0.048 y[1] (analytic) = 2.0011515580391838676219987677335 y[1] (numeric) = 2.0011515580391838118760413682398 absolute error = 5.57459573994937e-17 relative error = 2.7856939258571717524924249300104e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=862.1MB, alloc=4.6MB, time=88.17 Complex estimate of poles used Radius of convergence = 0.9992 Order of pole = 0.9073 x[1] = -0.047 y[1] (analytic) = 2.0011040937187992263084405653501 y[1] (numeric) = 2.0011040937187991716895814566142 absolute error = 5.46188591087359e-17 relative error = 2.7294361787663753413973267665054e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.9992 Order of pole = 0.9073 x[1] = -0.046 y[1] (analytic) = 2.0010576271941190407870929131022 y[1] (numeric) = 2.001057627194118987296953500773 absolute error = 5.34901394123292e-17 relative error = 2.6730934024790189976755058933033e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.9991 Order of pole = 0.9072 x[1] = -0.045 y[1] (analytic) = 2.0010121585577422952224585409484 y[1] (numeric) = 2.0010121585577422428626273427213 absolute error = 5.23598311982271e-17 relative error = 2.6166673188016101818097965267906e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.9991 Order of pole = 0.9071 x[1] = -0.044 y[1] (analytic) = 2.0009676879002932358583993968343 y[1] (numeric) = 2.0009676879002931846304319545738 absolute error = 5.12279674422605e-17 relative error = 2.5601596543528569137101438433012e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=865.9MB, alloc=4.6MB, time=88.56 Complex estimate of poles used Radius of convergence = 0.999 Order of pole = 0.907 x[1] = -0.043 y[1] (analytic) = 2.0009242153104202902631621602209 y[1] (numeric) = 2.0009242153104202401685809538632 absolute error = 5.00945812063577e-17 relative error = 2.5035721404664046256552762484774e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.999 Order of pole = 0.9069 x[1] = -0.042 y[1] (analytic) = 2.0008817408747950098520812070246 y[1] (numeric) = 2.000881740874794960892375570266 absolute error = 4.89597056367586e-17 relative error = 2.4469065130932317832894434976179e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.999 Order of pole = 0.9068 x[1] = -0.041 y[1] (analytic) = 2.000840264678111035719411588292 y[1] (numeric) = 2.0008402646781109878960376260725 absolute error = 4.78233739622195e-17 relative error = 2.3901645127035253758522073158704e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.9989 Order of pole = 0.9067 x[1] = -0.04 y[1] (analytic) = 2.0007997868030830878100630650799 y[1] (numeric) = 2.0007997868030830411244435728674 absolute error = 4.66856194922125e-17 relative error = 2.3333478841882372013763465287912e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=869.7MB, alloc=4.6MB, time=88.94 Complex estimate of poles used Radius of convergence = 0.9989 Order of pole = 0.9066 x[1] = -0.039 y[1] (analytic) = 2.000760307330445977461323017444 y[1] (numeric) = 2.0007603073304459319148474023285 absolute error = 4.55464756151155e-17 relative error = 2.2764583767601220642076066148193e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.9988 Order of pole = 0.9065 x[1] = -0.038 y[1] (analytic) = 2.0007218263389536433439711532246 y[1] (numeric) = 2.0007218263389535989379953568269 absolute error = 4.44059757963977e-17 relative error = 2.2194977438545038161276058728982e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.9988 Order of pole = 0.9064 x[1] = -0.037 y[1] (analytic) = 2.0006843439053782108315024195986 y[1] (numeric) = 2.0006843439053781675673488428025 absolute error = 4.32641535767961e-17 relative error = 2.1624677430295453778312859361805e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.9987 Order of pole = 0.9063 x[1] = -0.036 y[1] (analytic) = 2.000647860104509074825486404502 y[1] (numeric) = 2.0006478601045090327044438340154 absolute error = 4.21210425704866e-17 relative error = 2.1053701358662037180973039592906e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=873.5MB, alloc=4.6MB, time=89.32 Complex estimate of poles used Radius of convergence = 0.9987 Order of pole = 0.9062 x[1] = -0.035 y[1] (analytic) = 2.0006123750091520060644018434543 y[1] (numeric) = 2.0006123750091519650877253802067 absolute error = 4.09766764632476e-17 relative error = 2.0482066878677658884177829765291e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.9987 Order of pole = 0.9061 x[1] = -0.034 y[1] (analytic) = 2.0005778886901282809425936576629 y[1] (numeric) = 2.0005778886901282411115046470445 absolute error = 3.98310890106184e-17 relative error = 1.9909791683590821379446496637112e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.9986 Order of pole = 0.906 x[1] = -0.033 y[1] (analytic) = 2.0005444012162738348653072792689 y[1] (numeric) = 2.0005444012162737961809932432187 absolute error = 3.86843140360502e-17 relative error = 1.9336893503853872167838715509311e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.9986 Order of pole = 0.9059 x[1] = -0.032 y[1] (analytic) = 2.0005119126544384391650609071149 y[1] (numeric) = 2.0005119126544384016286754780631 absolute error = 3.75363854290518e-17 relative error = 1.8763390106108159112782843451322e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=877.4MB, alloc=4.6MB, time=89.70 Complex estimate of poles used Radius of convergence = 0.9985 Order of pole = 0.9058 x[1] = -0.031 y[1] (analytic) = 2.0004804230694849016039208194416 y[1] (numeric) = 2.0004804230694848652165836761124 absolute error = 3.63873371433292e-17 relative error = 1.8189299292165739093783472136425e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.9985 Order of pole = 0.9057 x[1] = -0.03 y[1] (analytic) = 2.0004499325242882904855479866022 y[1] (numeric) = 2.0004499325242882552483447916831 absolute error = 3.52372031949191e-17 relative error = 1.7614638897987650852465233127265e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.9985 Order of pole = 0.9056 x[1] = -0.029 y[1] (analytic) = 2.0004204410797351824001860154586 y[1] (numeric) = 2.0004204410797351483141683551411 absolute error = 3.40860176603175e-17 relative error = 1.7039426792659362850758176753323e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.9984 Order of pole = 0.9055 x[1] = -0.028 y[1] (analytic) = 2.0003919487947229336250609559542 y[1] (numeric) = 2.0003919487947229006912462813518 absolute error = 3.29338146746024e-17 relative error = 1.6463680877362907299042643865995e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=881.2MB, alloc=4.6MB, time=90.07 Complex estimate of poles used Radius of convergence = 0.9984 Order of pole = 0.9054 x[1] = -0.027 y[1] (analytic) = 2.0003644557261589752019627479395 y[1] (numeric) = 2.000364455726158943421334318388 absolute error = 3.17806284295515e-17 relative error = 1.5887419084346161329439882557745e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.9984 Order of pole = 0.9053 x[1] = -0.026 y[1] (analytic) = 2.0003379619289601317130761212363 y[1] (numeric) = 2.0003379619289601010865829494815 absolute error = 3.06264931717548e-17 relative error = 1.5310659375889236473656008892096e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.9984 Order of pole = 0.9052 x[1] = -0.025 y[1] (analytic) = 2.0003124674560519637754256228761 y[1] (numeric) = 2.0003124674560519343039824221541 absolute error = 2.94714432007220e-17 relative error = 1.4733419743267937645141432706200e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.9983 Order of pole = 0.9051 x[1] = -0.024 y[1] (analytic) = 2.0002879723583681342735951712438 y[1] (numeric) = 2.0002879723583681059580823042585 absolute error = 2.83155128669853e-17 relative error = 1.4155718205714602815856602824065e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.9983 Order of pole = 0.905 x[1] = -0.023 y[1] (analytic) = 2.0002644766848497983496771664013 y[1] (numeric) = 2.000264476684849771190940596203 absolute error = 2.71587365701983e-17 relative error = 1.3577572809376684645685982690972e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=885.0MB, alloc=4.6MB, time=90.46 Complex estimate of poles used Radius of convergence = 0.9983 Order of pole = 0.9049 x[1] = -0.022 y[1] (analytic) = 2.0002419804824450171686997581706 y[1] (numeric) = 2.0002419804824449911675510009412 absolute error = 2.60011487572294e-17 relative error = 1.2999001626272285534791701115946e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.9982 Order of pole = 0.9048 x[1] = -0.021 y[1] (analytic) = 2.0002204837961081954770734277207 y[1] (numeric) = 2.0002204837961081706342895074687 absolute error = 2.48427839202520e-17 relative error = 1.2420022753243807321880564569136e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.9982 Order of pole = 0.9048 x[1] = -0.02 y[1] (analytic) = 2.000199986668799542970889613617 y[1] (numeric) = 2.0001999866687995192872130187878 absolute error = 2.36836765948292e-17 relative error = 1.1840654310908577222831782211905e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.9982 Order of pole = 0.9047 x[1] = -0.019 y[1] (analytic) = 2.0001804891414845594901947488431 y[1] (numeric) = 2.0001804891414845369663333908462 absolute error = 2.25238613579969e-17 relative error = 1.1260914442608411265544935027844e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=888.8MB, alloc=4.6MB, time=90.84 Complex estimate of poles used Radius of convergence = 0.9982 Order of pole = 0.9046 x[1] = -0.018 y[1] (analytic) = 2.0001619912531335440546528105441 y[1] (numeric) = 2.0001619912531335226912799842036 absolute error = 2.13633728263405e-17 relative error = 1.0680821313355727019980049897389e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.9981 Order of pole = 0.9045 x[1] = -0.017 y[1] (analytic) = 2.0001444930407211277552983586331 y[1] (numeric) = 2.0001444930407211075530527045627 absolute error = 2.02022456540704e-17 relative error = 1.0100393108778816912123299606536e-15 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.9981 Order of pole = 0.9044 x[1] = -0.016 y[1] (analytic) = 2.0001279945392258305163700924453 y[1] (numeric) = 2.0001279945392258114758555613531 absolute error = 1.90405145310922e-17 relative error = 9.5196480340642439318851802726732e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.9981 Order of pole = 0.9044 x[1] = -0.015 y[1] (analytic) = 2.0001124957816296417405022259389 y[1] (numeric) = 2.0001124957816296238622880448636 absolute error = 1.78782141810753e-17 relative error = 8.9386043128982212139268972931103e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=892.6MB, alloc=4.6MB, time=91.22 Complex estimate of poles used Radius of convergence = 0.9981 Order of pole = 0.9043 x[1] = -0.014 y[1] (analytic) = 2.0000979967989176248498375111726 y[1] (numeric) = 2.0000979967989176081344581516548 absolute error = 1.67153793595178e-17 relative error = 8.3572801864059372635219426059295e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.9981 Order of pole = 0.9042 x[1] = -0.013 y[1] (analytic) = 2.0000844976200775457349115666844 y[1] (numeric) = 2.0000844976200775301828667148768 absolute error = 1.55520448518076e-17 relative error = 7.7756939120887885181213375500043e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.9981 Order of pole = 0.9042 x[1] = -0.012 y[1] (analytic) = 2.0000719982720995251224433317459 y[1] (numeric) = 2.0000719982720995107341978604631 absolute error = 1.43882454712828e-17 relative error = 7.1938637627610809070270062095399e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.998 Order of pole = 0.9041 x[1] = -0.011 y[1] (analytic) = 2.0000604987799757148724510091185 y[1] (numeric) = 2.0000604987799757016484349518308 absolute error = 1.32240160572877e-17 relative error = 6.6118080254843622778871690672922e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=896.4MB, alloc=4.6MB, time=91.60 Complex estimate of poles used Radius of convergence = 0.998 Order of pole = 0.9041 x[1] = -0.01 y[1] (analytic) = 2.0000499991666999982143968178216 y[1] (numeric) = 2.0000499991666999861550053445937 absolute error = 1.20593914732279e-17 relative error = 6.0295450005011474011569615106456e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.998 Order of pole = 0.904 x[1] = -0.009 y[1] (analytic) = 2.0000404994532677139313472934809 y[1] (numeric) = 2.0000404994532677030369406888587 absolute error = 1.08944066046222e-17 relative error = 5.4470930001668974245320551696651e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.998 Order of pole = 0.904 x[1] = -0.008 y[1] (analytic) = 2.0000319996586754045004187870869 y[1] (numeric) = 2.0000319996586753947713224299342 absolute error = 9.7290963571527e-18 relative error = 4.8644703478809655914556255526345e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.998 Order of pole = 0.9039 x[1] = -0.007 y[1] (analytic) = 2.000024499799920588197060263509 y[1] (numeric) = 2.0000244997999205796335646087947 absolute error = 8.5634956547143e-18 relative error = 4.2816953770171210865431657870532e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=900.2MB, alloc=4.6MB, time=91.97 Complex estimate of poles used Radius of convergence = 0.998 Order of pole = 0.9039 x[1] = -0.006 y[1] (analytic) = 2.0000179998920015551700075289728 y[1] (numeric) = 2.0000179998920015477723680915126 absolute error = 7.3976394374602e-18 relative error = 3.6987864298519629234248351938784e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.998 Order of pole = 0.9039 x[1] = -0.005 y[1] (analytic) = 2.0000124999479171874930246620765 y[1] (numeric) = 2.0000124999479171812614620022285 absolute error = 6.2315626598480e-18 relative error = 3.1157618564935357356957210122549e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.998 Order of pole = 0.9039 x[1] = -0.004 y[1] (analytic) = 2.0000079999786668031988297259364 y[1] (numeric) = 2.0000079999786667981335294372521 absolute error = 5.0653002886843e-18 relative error = 2.5326400138091094174828842343413e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.998 Order of pole = 0.9038 x[1] = -0.003 y[1] (analytic) = 2.0000044999932500242998828399418 y[1] (numeric) = 2.000004499993250020400995538775 absolute error = 3.8988873011668e-18 relative error = 1.9494392643516345426538929316588e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.998 Order of pole = 0.9038 memory used=904.1MB, alloc=4.6MB, time=92.36 x[1] = -0.002 y[1] (analytic) = 2.0000019999986666687999954285828 y[1] (numeric) = 2.000001999998666666067636745656 absolute error = 2.7323586829268e-18 relative error = 1.3661779752863354975241066486044e-16 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.998 Order of pole = 0.9038 x[1] = -0.001 y[1] (analytic) = 2.0000004999999166666999999821428 y[1] (numeric) = 2.0000004999999166651342505560724 absolute error = 1.5657494260704e-18 relative error = 7.8287451731660329060768430491740e-17 % h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.998 Order of pole = 0.9038 x[1] = 0 y[1] (analytic) = 2 y[1] (numeric) = 1.9999999999999999996009054727804 absolute error = 3.990945272196e-19 relative error = 1.9954726360980000000000000000000e-17 % h = 0.001 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = arctan ( x ) ; Iterations = 1000 Total Elapsed Time = 1 Minutes 32 Seconds Elapsed Time(since restart) = 1 Minutes 32 Seconds Expected Time Remaining = 7 Minutes 41 Seconds Optimized Time Remaining = 7 Minutes 41 Seconds Time to Timeout = 13 Minutes 27 Seconds Percent Done = 16.68 % > quit memory used=906.0MB, alloc=4.6MB, time=92.54