|\^/| 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 > glob_max_terms, > DEBUGL, > INFO, > glob_iolevel, > DEBUGMASSIVE, > ALWAYS, > #Top Generate Globals Decl > glob_log10abserr, > glob_large_float, > glob_hmin_init, > glob_disp_incr, > glob_not_yet_finished, > years_in_century, > sec_in_min, > glob_dump, > glob_max_opt_iter, > glob_subiter_method, > glob_max_sec, > glob_look_poles, > glob_optimal_expect_sec, > glob_no_eqs, > glob_max_hours, > glob_current_iter, > glob_start, > glob_smallish_float, > glob_clock_start_sec, > centuries_in_millinium, > min_in_hour, > djd_debug2, > glob_normmax, > glob_max_rel_trunc_err, > glob_reached_optimal_h, > days_in_year, > glob_log10relerr, > MAX_UNCHANGED, > glob_log10_relerr, > glob_dump_analytic, > glob_last_good_h, > glob_almost_1, > hours_in_day, > djd_debug, > glob_html_log, > glob_warned2, > glob_optimal_clock_start_sec, > glob_max_iter, > glob_display_flag, > glob_log10normmin, > glob_curr_iter_when_opt, > glob_orig_start_sec, > glob_warned, > glob_relerr, > glob_optimal_done, > glob_not_yet_start_msg, > glob_initial_pass, > glob_max_minutes, > glob_unchanged_h_cnt, > glob_clock_sec, > glob_iter, > glob_small_float, > glob_abserr, > glob_hmax, > glob_optimal_start, > glob_max_trunc_err, > glob_log10_abserr, > glob_hmin, > glob_h, > glob_percent_done, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_3D0, > array_const_0D0, > array_const_1, > #END CONST > array_1st_rel_error, > array_m1, > array_last_rel_error, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_y_init, > array_type_pole, > array_y, > array_x, > array_norms, > array_pole, > array_y_higher_work2, > array_poles, > array_real_pole, > array_y_higher, > array_complex_pole, > array_y_set_initial, > 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 glob_max_terms, DEBUGL, INFO, glob_iolevel, DEBUGMASSIVE, ALWAYS, glob_log10abserr, glob_large_float, glob_hmin_init, glob_disp_incr, glob_not_yet_finished, years_in_century, sec_in_min, glob_dump, glob_max_opt_iter, glob_subiter_method, glob_max_sec, glob_look_poles, glob_optimal_expect_sec, glob_no_eqs, glob_max_hours, glob_current_iter, glob_start, glob_smallish_float, glob_clock_start_sec, centuries_in_millinium, min_in_hour, djd_debug2, glob_normmax, glob_max_rel_trunc_err, glob_reached_optimal_h, days_in_year, glob_log10relerr, MAX_UNCHANGED, glob_log10_relerr, glob_dump_analytic, glob_last_good_h, glob_almost_1, hours_in_day, djd_debug, glob_html_log, glob_warned2, glob_optimal_clock_start_sec, glob_max_iter, glob_display_flag, glob_log10normmin, glob_curr_iter_when_opt, glob_orig_start_sec, glob_warned, glob_relerr, glob_optimal_done, glob_not_yet_start_msg, glob_initial_pass, glob_max_minutes, glob_unchanged_h_cnt, glob_clock_sec, glob_iter, glob_small_float, glob_abserr, glob_hmax, glob_optimal_start, glob_max_trunc_err, glob_log10_abserr, glob_hmin, glob_h, glob_percent_done, array_const_3D0, array_const_0D0, array_const_1, array_1st_rel_error, array_m1, array_last_rel_error, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_y_init, array_type_pole, array_y, array_x, array_norms, array_pole, array_y_higher_work2, array_poles, array_real_pole, array_y_higher, array_complex_pole, array_y_set_initial, 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 > glob_max_terms, > DEBUGL, > INFO, > glob_iolevel, > DEBUGMASSIVE, > ALWAYS, > #Top Generate Globals Decl > glob_log10abserr, > glob_large_float, > glob_hmin_init, > glob_disp_incr, > glob_not_yet_finished, > years_in_century, > sec_in_min, > glob_dump, > glob_max_opt_iter, > glob_subiter_method, > glob_max_sec, > glob_look_poles, > glob_optimal_expect_sec, > glob_no_eqs, > glob_max_hours, > glob_current_iter, > glob_start, > glob_smallish_float, > glob_clock_start_sec, > centuries_in_millinium, > min_in_hour, > djd_debug2, > glob_normmax, > glob_max_rel_trunc_err, > glob_reached_optimal_h, > days_in_year, > glob_log10relerr, > MAX_UNCHANGED, > glob_log10_relerr, > glob_dump_analytic, > glob_last_good_h, > glob_almost_1, > hours_in_day, > djd_debug, > glob_html_log, > glob_warned2, > glob_optimal_clock_start_sec, > glob_max_iter, > glob_display_flag, > glob_log10normmin, > glob_curr_iter_when_opt, > glob_orig_start_sec, > glob_warned, > glob_relerr, > glob_optimal_done, > glob_not_yet_start_msg, > glob_initial_pass, > glob_max_minutes, > glob_unchanged_h_cnt, > glob_clock_sec, > glob_iter, > glob_small_float, > glob_abserr, > glob_hmax, > glob_optimal_start, > glob_max_trunc_err, > glob_log10_abserr, > glob_hmin, > glob_h, > glob_percent_done, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_3D0, > array_const_0D0, > array_const_1, > #END CONST > array_1st_rel_error, > array_m1, > array_last_rel_error, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_y_init, > array_type_pole, > array_y, > array_x, > array_norms, > array_pole, > array_y_higher_work2, > array_poles, > array_real_pole, > array_y_higher, > array_complex_pole, > array_y_set_initial, > 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 glob_max_terms, DEBUGL, INFO, glob_iolevel, DEBUGMASSIVE, ALWAYS, glob_log10abserr, glob_large_float, glob_hmin_init, glob_disp_incr, glob_not_yet_finished, years_in_century, sec_in_min, glob_dump, glob_max_opt_iter, glob_subiter_method, glob_max_sec, glob_look_poles, glob_optimal_expect_sec, glob_no_eqs, glob_max_hours, glob_current_iter, glob_start, glob_smallish_float, glob_clock_start_sec, centuries_in_millinium, min_in_hour, djd_debug2, glob_normmax, glob_max_rel_trunc_err, glob_reached_optimal_h, days_in_year, glob_log10relerr, MAX_UNCHANGED, glob_log10_relerr, glob_dump_analytic, glob_last_good_h, glob_almost_1, hours_in_day, djd_debug, glob_html_log, glob_warned2, glob_optimal_clock_start_sec, glob_max_iter, glob_display_flag, glob_log10normmin, glob_curr_iter_when_opt, glob_orig_start_sec, glob_warned, glob_relerr, glob_optimal_done, glob_not_yet_start_msg, glob_initial_pass, glob_max_minutes, glob_unchanged_h_cnt, glob_clock_sec, glob_iter, glob_small_float, glob_abserr, glob_hmax, glob_optimal_start, glob_max_trunc_err, glob_log10_abserr, glob_hmin, glob_h, glob_percent_done, array_const_3D0, array_const_0D0, array_const_1, array_1st_rel_error, array_m1, array_last_rel_error, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_y_init, array_type_pole, array_y, array_x, array_norms, array_pole, array_y_higher_work2, array_poles, array_real_pole, array_y_higher, array_complex_pole, array_y_set_initial, 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 > glob_max_terms, > DEBUGL, > INFO, > glob_iolevel, > DEBUGMASSIVE, > ALWAYS, > #Top Generate Globals Decl > glob_log10abserr, > glob_large_float, > glob_hmin_init, > glob_disp_incr, > glob_not_yet_finished, > years_in_century, > sec_in_min, > glob_dump, > glob_max_opt_iter, > glob_subiter_method, > glob_max_sec, > glob_look_poles, > glob_optimal_expect_sec, > glob_no_eqs, > glob_max_hours, > glob_current_iter, > glob_start, > glob_smallish_float, > glob_clock_start_sec, > centuries_in_millinium, > min_in_hour, > djd_debug2, > glob_normmax, > glob_max_rel_trunc_err, > glob_reached_optimal_h, > days_in_year, > glob_log10relerr, > MAX_UNCHANGED, > glob_log10_relerr, > glob_dump_analytic, > glob_last_good_h, > glob_almost_1, > hours_in_day, > djd_debug, > glob_html_log, > glob_warned2, > glob_optimal_clock_start_sec, > glob_max_iter, > glob_display_flag, > glob_log10normmin, > glob_curr_iter_when_opt, > glob_orig_start_sec, > glob_warned, > glob_relerr, > glob_optimal_done, > glob_not_yet_start_msg, > glob_initial_pass, > glob_max_minutes, > glob_unchanged_h_cnt, > glob_clock_sec, > glob_iter, > glob_small_float, > glob_abserr, > glob_hmax, > glob_optimal_start, > glob_max_trunc_err, > glob_log10_abserr, > glob_hmin, > glob_h, > glob_percent_done, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_3D0, > array_const_0D0, > array_const_1, > #END CONST > array_1st_rel_error, > array_m1, > array_last_rel_error, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_y_init, > array_type_pole, > array_y, > array_x, > array_norms, > array_pole, > array_y_higher_work2, > array_poles, > array_real_pole, > array_y_higher, > array_complex_pole, > array_y_set_initial, > 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 glob_max_terms, DEBUGL, INFO, glob_iolevel, DEBUGMASSIVE, ALWAYS, glob_log10abserr, glob_large_float, glob_hmin_init, glob_disp_incr, glob_not_yet_finished, years_in_century, sec_in_min, glob_dump, glob_max_opt_iter, glob_subiter_method, glob_max_sec, glob_look_poles, glob_optimal_expect_sec, glob_no_eqs, glob_max_hours, glob_current_iter, glob_start, glob_smallish_float, glob_clock_start_sec, centuries_in_millinium, min_in_hour, djd_debug2, glob_normmax, glob_max_rel_trunc_err, glob_reached_optimal_h, days_in_year, glob_log10relerr, MAX_UNCHANGED, glob_log10_relerr, glob_dump_analytic, glob_last_good_h, glob_almost_1, hours_in_day, djd_debug, glob_html_log, glob_warned2, glob_optimal_clock_start_sec, glob_max_iter, glob_display_flag, glob_log10normmin, glob_curr_iter_when_opt, glob_orig_start_sec, glob_warned, glob_relerr, glob_optimal_done, glob_not_yet_start_msg, glob_initial_pass, glob_max_minutes, glob_unchanged_h_cnt, glob_clock_sec, glob_iter, glob_small_float, glob_abserr, glob_hmax, glob_optimal_start, glob_max_trunc_err, glob_log10_abserr, glob_hmin, glob_h, glob_percent_done, array_const_3D0, array_const_0D0, array_const_1, array_1st_rel_error, array_m1, array_last_rel_error, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_y_init, array_type_pole, array_y, array_x, array_norms, array_pole, array_y_higher_work2, array_poles, array_real_pole, array_y_higher, array_complex_pole, array_y_set_initial, 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 > glob_max_terms, > DEBUGL, > INFO, > glob_iolevel, > DEBUGMASSIVE, > ALWAYS, > #Top Generate Globals Decl > glob_log10abserr, > glob_large_float, > glob_hmin_init, > glob_disp_incr, > glob_not_yet_finished, > years_in_century, > sec_in_min, > glob_dump, > glob_max_opt_iter, > glob_subiter_method, > glob_max_sec, > glob_look_poles, > glob_optimal_expect_sec, > glob_no_eqs, > glob_max_hours, > glob_current_iter, > glob_start, > glob_smallish_float, > glob_clock_start_sec, > centuries_in_millinium, > min_in_hour, > djd_debug2, > glob_normmax, > glob_max_rel_trunc_err, > glob_reached_optimal_h, > days_in_year, > glob_log10relerr, > MAX_UNCHANGED, > glob_log10_relerr, > glob_dump_analytic, > glob_last_good_h, > glob_almost_1, > hours_in_day, > djd_debug, > glob_html_log, > glob_warned2, > glob_optimal_clock_start_sec, > glob_max_iter, > glob_display_flag, > glob_log10normmin, > glob_curr_iter_when_opt, > glob_orig_start_sec, > glob_warned, > glob_relerr, > glob_optimal_done, > glob_not_yet_start_msg, > glob_initial_pass, > glob_max_minutes, > glob_unchanged_h_cnt, > glob_clock_sec, > glob_iter, > glob_small_float, > glob_abserr, > glob_hmax, > glob_optimal_start, > glob_max_trunc_err, > glob_log10_abserr, > glob_hmin, > glob_h, > glob_percent_done, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_3D0, > array_const_0D0, > array_const_1, > #END CONST > array_1st_rel_error, > array_m1, > array_last_rel_error, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_y_init, > array_type_pole, > array_y, > array_x, > array_norms, > array_pole, > array_y_higher_work2, > array_poles, > array_real_pole, > array_y_higher, > array_complex_pole, > array_y_set_initial, > 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 glob_max_terms, DEBUGL, INFO, glob_iolevel, DEBUGMASSIVE, ALWAYS, glob_log10abserr, glob_large_float, glob_hmin_init, glob_disp_incr, glob_not_yet_finished, years_in_century, sec_in_min, glob_dump, glob_max_opt_iter, glob_subiter_method, glob_max_sec, glob_look_poles, glob_optimal_expect_sec, glob_no_eqs, glob_max_hours, glob_current_iter, glob_start, glob_smallish_float, glob_clock_start_sec, centuries_in_millinium, min_in_hour, djd_debug2, glob_normmax, glob_max_rel_trunc_err, glob_reached_optimal_h, days_in_year, glob_log10relerr, MAX_UNCHANGED, glob_log10_relerr, glob_dump_analytic, glob_last_good_h, glob_almost_1, hours_in_day, djd_debug, glob_html_log, glob_warned2, glob_optimal_clock_start_sec, glob_max_iter, glob_display_flag, glob_log10normmin, glob_curr_iter_when_opt, glob_orig_start_sec, glob_warned, glob_relerr, glob_optimal_done, glob_not_yet_start_msg, glob_initial_pass, glob_max_minutes, glob_unchanged_h_cnt, glob_clock_sec, glob_iter, glob_small_float, glob_abserr, glob_hmax, glob_optimal_start, glob_max_trunc_err, glob_log10_abserr, glob_hmin, glob_h, glob_percent_done, array_const_3D0, array_const_0D0, array_const_1, array_1st_rel_error, array_m1, array_last_rel_error, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_y_init, array_type_pole, array_y, array_x, array_norms, array_pole, array_y_higher_work2, array_poles, array_real_pole, array_y_higher, array_complex_pole, array_y_set_initial, 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 > glob_max_terms, > DEBUGL, > INFO, > glob_iolevel, > DEBUGMASSIVE, > ALWAYS, > #Top Generate Globals Decl > glob_log10abserr, > glob_large_float, > glob_hmin_init, > glob_disp_incr, > glob_not_yet_finished, > years_in_century, > sec_in_min, > glob_dump, > glob_max_opt_iter, > glob_subiter_method, > glob_max_sec, > glob_look_poles, > glob_optimal_expect_sec, > glob_no_eqs, > glob_max_hours, > glob_current_iter, > glob_start, > glob_smallish_float, > glob_clock_start_sec, > centuries_in_millinium, > min_in_hour, > djd_debug2, > glob_normmax, > glob_max_rel_trunc_err, > glob_reached_optimal_h, > days_in_year, > glob_log10relerr, > MAX_UNCHANGED, > glob_log10_relerr, > glob_dump_analytic, > glob_last_good_h, > glob_almost_1, > hours_in_day, > djd_debug, > glob_html_log, > glob_warned2, > glob_optimal_clock_start_sec, > glob_max_iter, > glob_display_flag, > glob_log10normmin, > glob_curr_iter_when_opt, > glob_orig_start_sec, > glob_warned, > glob_relerr, > glob_optimal_done, > glob_not_yet_start_msg, > glob_initial_pass, > glob_max_minutes, > glob_unchanged_h_cnt, > glob_clock_sec, > glob_iter, > glob_small_float, > glob_abserr, > glob_hmax, > glob_optimal_start, > glob_max_trunc_err, > glob_log10_abserr, > glob_hmin, > glob_h, > glob_percent_done, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_3D0, > array_const_0D0, > array_const_1, > #END CONST > array_1st_rel_error, > array_m1, > array_last_rel_error, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_y_init, > array_type_pole, > array_y, > array_x, > array_norms, > array_pole, > array_y_higher_work2, > array_poles, > array_real_pole, > array_y_higher, > array_complex_pole, > array_y_set_initial, > 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 glob_max_terms, DEBUGL, INFO, glob_iolevel, DEBUGMASSIVE, ALWAYS, glob_log10abserr, glob_large_float, glob_hmin_init, glob_disp_incr, glob_not_yet_finished, years_in_century, sec_in_min, glob_dump, glob_max_opt_iter, glob_subiter_method, glob_max_sec, glob_look_poles, glob_optimal_expect_sec, glob_no_eqs, glob_max_hours, glob_current_iter, glob_start, glob_smallish_float, glob_clock_start_sec, centuries_in_millinium, min_in_hour, djd_debug2, glob_normmax, glob_max_rel_trunc_err, glob_reached_optimal_h, days_in_year, glob_log10relerr, MAX_UNCHANGED, glob_log10_relerr, glob_dump_analytic, glob_last_good_h, glob_almost_1, hours_in_day, djd_debug, glob_html_log, glob_warned2, glob_optimal_clock_start_sec, glob_max_iter, glob_display_flag, glob_log10normmin, glob_curr_iter_when_opt, glob_orig_start_sec, glob_warned, glob_relerr, glob_optimal_done, glob_not_yet_start_msg, glob_initial_pass, glob_max_minutes, glob_unchanged_h_cnt, glob_clock_sec, glob_iter, glob_small_float, glob_abserr, glob_hmax, glob_optimal_start, glob_max_trunc_err, glob_log10_abserr, glob_hmin, glob_h, glob_percent_done, array_const_3D0, array_const_0D0, array_const_1, array_1st_rel_error, array_m1, array_last_rel_error, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_y_init, array_type_pole, array_y, array_x, array_norms, array_pole, array_y_higher_work2, array_poles, array_real_pole, array_y_higher, array_complex_pole, array_y_set_initial, 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 > glob_max_terms, > DEBUGL, > INFO, > glob_iolevel, > DEBUGMASSIVE, > ALWAYS, > #Top Generate Globals Decl > glob_log10abserr, > glob_large_float, > glob_hmin_init, > glob_disp_incr, > glob_not_yet_finished, > years_in_century, > sec_in_min, > glob_dump, > glob_max_opt_iter, > glob_subiter_method, > glob_max_sec, > glob_look_poles, > glob_optimal_expect_sec, > glob_no_eqs, > glob_max_hours, > glob_current_iter, > glob_start, > glob_smallish_float, > glob_clock_start_sec, > centuries_in_millinium, > min_in_hour, > djd_debug2, > glob_normmax, > glob_max_rel_trunc_err, > glob_reached_optimal_h, > days_in_year, > glob_log10relerr, > MAX_UNCHANGED, > glob_log10_relerr, > glob_dump_analytic, > glob_last_good_h, > glob_almost_1, > hours_in_day, > djd_debug, > glob_html_log, > glob_warned2, > glob_optimal_clock_start_sec, > glob_max_iter, > glob_display_flag, > glob_log10normmin, > glob_curr_iter_when_opt, > glob_orig_start_sec, > glob_warned, > glob_relerr, > glob_optimal_done, > glob_not_yet_start_msg, > glob_initial_pass, > glob_max_minutes, > glob_unchanged_h_cnt, > glob_clock_sec, > glob_iter, > glob_small_float, > glob_abserr, > glob_hmax, > glob_optimal_start, > glob_max_trunc_err, > glob_log10_abserr, > glob_hmin, > glob_h, > glob_percent_done, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_3D0, > array_const_0D0, > array_const_1, > #END CONST > array_1st_rel_error, > array_m1, > array_last_rel_error, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_y_init, > array_type_pole, > array_y, > array_x, > array_norms, > array_pole, > array_y_higher_work2, > array_poles, > array_real_pole, > array_y_higher, > array_complex_pole, > array_y_set_initial, > array_y_higher_work, > glob_last; > > local kkk, order_d, adj2, temporary, term; > #TOP ATOMALL > #END OUTFILE1 > #BEGIN ATOMHDR1 > # emit pre mult $eq_no = 1 i = 1 > array_tmp1[1] := (array_m1[1] * (array_const_3D0[1])); > #emit pre div $eq_no = 1 i = 1 > array_tmp2[1] := (array_tmp1[1] / (array_x[1])); > #emit pre div $eq_no = 1 i = 1 > array_tmp3[1] := (array_tmp2[1] / (array_x[1])); > #emit pre div $eq_no = 1 i = 1 > array_tmp4[1] := (array_tmp3[1] / (array_x[1])); > #emit pre div $eq_no = 1 i = 1 > array_tmp5[1] := (array_tmp4[1] / (array_x[1])); > #emit pre add $eq_no = 1 i = 1 > array_tmp6[1] := array_const_0D0[1] + array_tmp5[1]; > #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5 > if not array_y_set_initial[1,2] then # if number 1 > if (1 <= glob_max_terms) then # if number 2 > temporary := array_tmp6[1] * (glob_h ^ (1)) * factorial_3(0,1); > array_y[2] := temporary; > array_y_higher[1,2] := temporary; > temporary := temporary / glob_h * (2.0); > array_y_higher[2,1] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 2; > #END ATOMHDR1 > #BEGIN ATOMHDR2 > # emit pre mult $eq_no = 1 i = 2 > array_tmp1[2] := ats(2,array_m1,array_const_3D0,1); > #emit pre div $eq_no = 1 i = 2 > array_tmp2[2] := ((array_tmp1[2] - ats(2,array_x,array_tmp2,2))/array_x[1]); > #emit pre div $eq_no = 1 i = 2 > array_tmp3[2] := ((array_tmp2[2] - ats(2,array_x,array_tmp3,2))/array_x[1]); > #emit pre div $eq_no = 1 i = 2 > array_tmp4[2] := ((array_tmp3[2] - ats(2,array_x,array_tmp4,2))/array_x[1]); > #emit pre div $eq_no = 1 i = 2 > array_tmp5[2] := ((array_tmp4[2] - ats(2,array_x,array_tmp5,2))/array_x[1]); > #emit pre add $eq_no = 1 i = 2 > array_tmp6[2] := array_const_0D0[2] + array_tmp5[2]; > #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5 > if not array_y_set_initial[1,3] then # if number 1 > if (2 <= glob_max_terms) then # if number 2 > temporary := array_tmp6[2] * (glob_h ^ (1)) * factorial_3(1,2); > array_y[3] := temporary; > array_y_higher[1,3] := temporary; > temporary := temporary / glob_h * (2.0); > array_y_higher[2,2] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 3; > #END ATOMHDR2 > #BEGIN ATOMHDR3 > # emit pre mult $eq_no = 1 i = 3 > array_tmp1[3] := ats(3,array_m1,array_const_3D0,1); > #emit pre div $eq_no = 1 i = 3 > array_tmp2[3] := ((array_tmp1[3] - ats(3,array_x,array_tmp2,2))/array_x[1]); > #emit pre div $eq_no = 1 i = 3 > array_tmp3[3] := ((array_tmp2[3] - ats(3,array_x,array_tmp3,2))/array_x[1]); > #emit pre div $eq_no = 1 i = 3 > array_tmp4[3] := ((array_tmp3[3] - ats(3,array_x,array_tmp4,2))/array_x[1]); > #emit pre div $eq_no = 1 i = 3 > array_tmp5[3] := ((array_tmp4[3] - ats(3,array_x,array_tmp5,2))/array_x[1]); > #emit pre add $eq_no = 1 i = 3 > array_tmp6[3] := array_const_0D0[3] + array_tmp5[3]; > #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5 > if not array_y_set_initial[1,4] then # if number 1 > if (3 <= glob_max_terms) then # if number 2 > temporary := array_tmp6[3] * (glob_h ^ (1)) * factorial_3(2,3); > array_y[4] := temporary; > array_y_higher[1,4] := temporary; > temporary := temporary / glob_h * (2.0); > array_y_higher[2,3] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 4; > #END ATOMHDR3 > #BEGIN ATOMHDR4 > # emit pre mult $eq_no = 1 i = 4 > array_tmp1[4] := ats(4,array_m1,array_const_3D0,1); > #emit pre div $eq_no = 1 i = 4 > array_tmp2[4] := ((array_tmp1[4] - ats(4,array_x,array_tmp2,2))/array_x[1]); > #emit pre div $eq_no = 1 i = 4 > array_tmp3[4] := ((array_tmp2[4] - ats(4,array_x,array_tmp3,2))/array_x[1]); > #emit pre div $eq_no = 1 i = 4 > array_tmp4[4] := ((array_tmp3[4] - ats(4,array_x,array_tmp4,2))/array_x[1]); > #emit pre div $eq_no = 1 i = 4 > array_tmp5[4] := ((array_tmp4[4] - ats(4,array_x,array_tmp5,2))/array_x[1]); > #emit pre add $eq_no = 1 i = 4 > array_tmp6[4] := array_const_0D0[4] + array_tmp5[4]; > #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5 > if not array_y_set_initial[1,5] then # if number 1 > if (4 <= glob_max_terms) then # if number 2 > temporary := array_tmp6[4] * (glob_h ^ (1)) * factorial_3(3,4); > array_y[5] := temporary; > array_y_higher[1,5] := temporary; > temporary := temporary / glob_h * (2.0); > array_y_higher[2,4] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 5; > #END ATOMHDR4 > #BEGIN ATOMHDR5 > # emit pre mult $eq_no = 1 i = 5 > array_tmp1[5] := ats(5,array_m1,array_const_3D0,1); > #emit pre div $eq_no = 1 i = 5 > array_tmp2[5] := ((array_tmp1[5] - ats(5,array_x,array_tmp2,2))/array_x[1]); > #emit pre div $eq_no = 1 i = 5 > array_tmp3[5] := ((array_tmp2[5] - ats(5,array_x,array_tmp3,2))/array_x[1]); > #emit pre div $eq_no = 1 i = 5 > array_tmp4[5] := ((array_tmp3[5] - ats(5,array_x,array_tmp4,2))/array_x[1]); > #emit pre div $eq_no = 1 i = 5 > array_tmp5[5] := ((array_tmp4[5] - ats(5,array_x,array_tmp5,2))/array_x[1]); > #emit pre add $eq_no = 1 i = 5 > array_tmp6[5] := array_const_0D0[5] + array_tmp5[5]; > #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5 > if not array_y_set_initial[1,6] then # if number 1 > if (5 <= glob_max_terms) then # if number 2 > temporary := array_tmp6[5] * (glob_h ^ (1)) * factorial_3(4,5); > array_y[6] := temporary; > array_y_higher[1,6] := temporary; > temporary := temporary / glob_h * (2.0); > array_y_higher[2,5] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 6; > #END ATOMHDR5 > #BEGIN OUTFILE3 > #Top Atomall While Loop-- outfile3 > while (kkk <= glob_max_terms) do # do number 1 > #END OUTFILE3 > #BEGIN OUTFILE4 > #emit mult $eq_no = 1 > array_tmp1[kkk] := ats(kkk,array_m1,array_const_3D0,1); > #emit div $eq_no = 1 > array_tmp2[kkk] := ((array_tmp1[kkk] - ats(kkk,array_x,array_tmp2,2))/array_x[1]); > #emit div $eq_no = 1 > array_tmp3[kkk] := ((array_tmp2[kkk] - ats(kkk,array_x,array_tmp3,2))/array_x[1]); > #emit div $eq_no = 1 > array_tmp4[kkk] := ((array_tmp3[kkk] - ats(kkk,array_x,array_tmp4,2))/array_x[1]); > #emit div $eq_no = 1 > array_tmp5[kkk] := ((array_tmp4[kkk] - ats(kkk,array_x,array_tmp5,2))/array_x[1]); > #emit add $eq_no = 1 > array_tmp6[kkk] := array_const_0D0[kkk] + array_tmp5[kkk]; > #emit assign $eq_no = 1 > order_d := 1; > if (kkk + order_d + 1 <= glob_max_terms) then # if number 1 > if not array_y_set_initial[1,kkk + order_d] then # if number 2 > temporary := array_tmp6[kkk] * (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 glob_max_terms, DEBUGL, INFO, glob_iolevel, DEBUGMASSIVE, ALWAYS, glob_log10abserr, glob_large_float, glob_hmin_init, glob_disp_incr, glob_not_yet_finished, years_in_century, sec_in_min, glob_dump, glob_max_opt_iter, glob_subiter_method, glob_max_sec, glob_look_poles, glob_optimal_expect_sec, glob_no_eqs, glob_max_hours, glob_current_iter, glob_start, glob_smallish_float, glob_clock_start_sec, centuries_in_millinium, min_in_hour, djd_debug2, glob_normmax, glob_max_rel_trunc_err, glob_reached_optimal_h, days_in_year, glob_log10relerr, MAX_UNCHANGED, glob_log10_relerr, glob_dump_analytic, glob_last_good_h, glob_almost_1, hours_in_day, djd_debug, glob_html_log, glob_warned2, glob_optimal_clock_start_sec, glob_max_iter, glob_display_flag, glob_log10normmin, glob_curr_iter_when_opt, glob_orig_start_sec, glob_warned, glob_relerr, glob_optimal_done, glob_not_yet_start_msg, glob_initial_pass, glob_max_minutes, glob_unchanged_h_cnt, glob_clock_sec, glob_iter, glob_small_float, glob_abserr, glob_hmax, glob_optimal_start, glob_max_trunc_err, glob_log10_abserr, glob_hmin, glob_h, glob_percent_done, array_const_3D0, array_const_0D0, array_const_1, array_1st_rel_error, array_m1, array_last_rel_error, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_y_init, array_type_pole, array_y, array_x, array_norms, array_pole, array_y_higher_work2, array_poles, array_real_pole, array_y_higher, array_complex_pole, array_y_set_initial, array_y_higher_work, glob_last; array_tmp1[1] := array_m1[1]*array_const_3D0[1]; array_tmp2[1] := array_tmp1[1]/array_x[1]; array_tmp3[1] := array_tmp2[1]/array_x[1]; array_tmp4[1] := array_tmp3[1]/array_x[1]; array_tmp5[1] := array_tmp4[1]/array_x[1]; array_tmp6[1] := array_const_0D0[1] + array_tmp5[1]; if not array_y_set_initial[1, 2] then if 1 <= glob_max_terms then temporary := array_tmp6[1]*glob_h*factorial_3(0, 1); array_y[2] := temporary; array_y_higher[1, 2] := temporary; temporary := temporary*2.0/glob_h; array_y_higher[2, 1] := temporary end if end if; kkk := 2; array_tmp1[2] := ats(2, array_m1, array_const_3D0, 1); array_tmp2[2] := (array_tmp1[2] - ats(2, array_x, array_tmp2, 2))/array_x[1]; array_tmp3[2] := (array_tmp2[2] - ats(2, array_x, array_tmp3, 2))/array_x[1]; array_tmp4[2] := (array_tmp3[2] - ats(2, array_x, array_tmp4, 2))/array_x[1]; array_tmp5[2] := (array_tmp4[2] - ats(2, array_x, array_tmp5, 2))/array_x[1]; array_tmp6[2] := array_const_0D0[2] + array_tmp5[2]; if not array_y_set_initial[1, 3] then if 2 <= glob_max_terms then temporary := array_tmp6[2]*glob_h*factorial_3(1, 2); array_y[3] := temporary; array_y_higher[1, 3] := temporary; temporary := temporary*2.0/glob_h; array_y_higher[2, 2] := temporary end if end if; kkk := 3; array_tmp1[3] := ats(3, array_m1, array_const_3D0, 1); array_tmp2[3] := (array_tmp1[3] - ats(3, array_x, array_tmp2, 2))/array_x[1]; array_tmp3[3] := (array_tmp2[3] - ats(3, array_x, array_tmp3, 2))/array_x[1]; array_tmp4[3] := (array_tmp3[3] - ats(3, array_x, array_tmp4, 2))/array_x[1]; array_tmp5[3] := (array_tmp4[3] - ats(3, array_x, array_tmp5, 2))/array_x[1]; array_tmp6[3] := array_const_0D0[3] + array_tmp5[3]; if not array_y_set_initial[1, 4] then if 3 <= glob_max_terms then temporary := array_tmp6[3]*glob_h*factorial_3(2, 3); array_y[4] := temporary; array_y_higher[1, 4] := temporary; temporary := temporary*2.0/glob_h; array_y_higher[2, 3] := temporary end if end if; kkk := 4; array_tmp1[4] := ats(4, array_m1, array_const_3D0, 1); array_tmp2[4] := (array_tmp1[4] - ats(4, array_x, array_tmp2, 2))/array_x[1]; array_tmp3[4] := (array_tmp2[4] - ats(4, array_x, array_tmp3, 2))/array_x[1]; array_tmp4[4] := (array_tmp3[4] - ats(4, array_x, array_tmp4, 2))/array_x[1]; array_tmp5[4] := (array_tmp4[4] - ats(4, array_x, array_tmp5, 2))/array_x[1]; array_tmp6[4] := array_const_0D0[4] + array_tmp5[4]; if not array_y_set_initial[1, 5] then if 4 <= glob_max_terms then temporary := array_tmp6[4]*glob_h*factorial_3(3, 4); array_y[5] := temporary; array_y_higher[1, 5] := temporary; temporary := temporary*2.0/glob_h; array_y_higher[2, 4] := temporary end if end if; kkk := 5; array_tmp1[5] := ats(5, array_m1, array_const_3D0, 1); array_tmp2[5] := (array_tmp1[5] - ats(5, array_x, array_tmp2, 2))/array_x[1]; array_tmp3[5] := (array_tmp2[5] - ats(5, array_x, array_tmp3, 2))/array_x[1]; array_tmp4[5] := (array_tmp3[5] - ats(5, array_x, array_tmp4, 2))/array_x[1]; array_tmp5[5] := (array_tmp4[5] - ats(5, array_x, array_tmp5, 2))/array_x[1]; array_tmp6[5] := array_const_0D0[5] + array_tmp5[5]; if not array_y_set_initial[1, 6] then if 5 <= glob_max_terms then temporary := array_tmp6[5]*glob_h*factorial_3(4, 5); array_y[6] := temporary; array_y_higher[1, 6] := temporary; temporary := temporary*2.0/glob_h; array_y_higher[2, 5] := temporary end if end if; kkk := 6; while kkk <= glob_max_terms do array_tmp1[kkk] := ats(kkk, array_m1, array_const_3D0, 1); array_tmp2[kkk] := (array_tmp1[kkk] - ats(kkk, array_x, array_tmp2, 2))/array_x[1] ; array_tmp3[kkk] := (array_tmp2[kkk] - ats(kkk, array_x, array_tmp3, 2))/array_x[1] ; array_tmp4[kkk] := (array_tmp3[kkk] - ats(kkk, array_x, array_tmp4, 2))/array_x[1] ; array_tmp5[kkk] := (array_tmp4[kkk] - ats(kkk, array_x, array_tmp5, 2))/array_x[1] ; array_tmp6[kkk] := array_const_0D0[kkk] + array_tmp5[kkk]; order_d := 1; if kkk + order_d + 1 <= glob_max_terms then if not array_y_set_initial[1, kkk + order_d] then temporary := array_tmp6[kkk]*glob_h^order_d/ factorial_3(kkk - 1, kkk + order_d - 1); array_y[kkk + order_d] := temporary; array_y_higher[1, kkk + order_d] := temporary; term := kkk + order_d - 1; adj2 := 2; while adj2 <= order_d + 1 and 1 <= term do temporary := temporary*convfp(adj2)/glob_h; array_y_higher[adj2, term] := temporary; adj2 := adj2 + 1; term := term - 1 end do end if end if; kkk := kkk + 1 end do end proc > #BEGIN ATS LIBRARY BLOCK > omniout_str := proc(iolevel,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > printf("%s\n",str); > fi; > # End Function number 1 > end; omniout_str := proc(iolevel, str) global glob_iolevel; if iolevel <= glob_iolevel then printf("%s\n", str) end if end proc > omniout_str_noeol := proc(iolevel,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > printf("%s",str); > fi; > # End Function number 1 > end; omniout_str_noeol := proc(iolevel, str) global glob_iolevel; if iolevel <= glob_iolevel then printf("%s", str) end if end proc > omniout_labstr := proc(iolevel,label,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > print(label,str); > fi; > # End Function number 1 > end; omniout_labstr := proc(iolevel, label, str) global glob_iolevel; if iolevel <= glob_iolevel then print(label, str) end if end proc > omniout_float := proc(iolevel,prelabel,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > if vallen = 4 then > printf("%-30s = %-42.4g %s \n",prelabel,value, postlabel); > else > printf("%-30s = %-42.32g %s \n",prelabel,value, postlabel); > fi; > fi; > # End Function number 1 > end; omniout_float := proc(iolevel, prelabel, prelen, value, vallen, postlabel) global glob_iolevel; if iolevel <= glob_iolevel then if vallen = 4 then printf("%-30s = %-42.4g %s \n", prelabel, value, postlabel) else printf("%-30s = %-42.32g %s \n", prelabel, value, postlabel) end if end if end proc > omniout_int := proc(iolevel,prelabel,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > if vallen = 5 then > printf("%-30s = %-32d %s\n",prelabel,value, postlabel); > else > printf("%-30s = %-32d %s \n",prelabel,value, postlabel); > fi; > fi; > # End Function number 1 > end; omniout_int := proc(iolevel, prelabel, prelen, value, vallen, postlabel) global glob_iolevel; if iolevel <= glob_iolevel then if vallen = 5 then printf("%-30s = %-32d %s\n", prelabel, value, postlabel) else printf("%-30s = %-32d %s \n", prelabel, value, postlabel) end if end if end proc > omniout_float_arr := proc(iolevel,prelabel,elemnt,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > print(prelabel,"[",elemnt,"]",value, postlabel); > fi; > # End Function number 1 > end; omniout_float_arr := proc( iolevel, prelabel, elemnt, prelen, value, vallen, postlabel) global glob_iolevel; if iolevel <= glob_iolevel then print(prelabel, "[", elemnt, "]", value, postlabel) end if end proc > dump_series := proc(iolevel,dump_label,series_name, > array_series,numb) > global glob_iolevel; > local i; > if (glob_iolevel >= iolevel) then > i := 1; > while (i <= numb) do > print(dump_label,series_name > ,i,array_series[i]); > i := i + 1; > od; > fi; > # End Function number 1 > end; dump_series := proc(iolevel, dump_label, series_name, array_series, numb) local i; global glob_iolevel; if iolevel <= glob_iolevel then i := 1; while i <= numb do print(dump_label, series_name, i, array_series[i]); i := i + 1 end do end if end proc > dump_series_2 := proc(iolevel,dump_label,series_name2, > array_series2,numb,subnum,array_x) > global glob_iolevel; > local i,sub,ts_term; > if (glob_iolevel >= iolevel) then > sub := 1; > while (sub <= subnum) do > i := 1; > while (i <= numb) do > print(dump_label,series_name2,sub,i,array_series2[sub,i]); > od; > sub := sub + 1; > od; > fi; > # End Function number 1 > end; dump_series_2 := proc( iolevel, dump_label, series_name2, array_series2, numb, subnum, array_x) local i, sub, ts_term; global glob_iolevel; if iolevel <= glob_iolevel then sub := 1; while sub <= subnum do i := 1; while i <= numb do print(dump_label, series_name2, sub, i, array_series2[sub, i]) end do; sub := sub + 1 end do end if end proc > cs_info := proc(iolevel,str) > global glob_iolevel,glob_correct_start_flag,glob_h,glob_reached_optimal_h; > if (glob_iolevel >= iolevel) then > print("cs_info " , str , " glob_correct_start_flag = " , glob_correct_start_flag , "glob_h := " , glob_h , "glob_reached_optimal_h := " , glob_reached_optimal_h) > fi; > # End Function number 1 > end; cs_info := proc(iolevel, str) global glob_iolevel, glob_correct_start_flag, glob_h, glob_reached_optimal_h; if iolevel <= glob_iolevel then print("cs_info ", str, " glob_correct_start_flag = ", glob_correct_start_flag, "glob_h := ", glob_h, "glob_reached_optimal_h := ", glob_reached_optimal_h) end if end proc > # Begin Function number 2 > logitem_time := proc(fd,secs_in) > global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century; > local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int; > secs := (secs_in); > if (secs > 0.0) then # if number 1 > sec_in_millinium := convfloat(sec_in_min * min_in_hour * hours_in_day * days_in_year * years_in_century * centuries_in_millinium); > milliniums := convfloat(secs / sec_in_millinium); > millinium_int := floor(milliniums); > centuries := (milliniums - millinium_int)*centuries_in_millinium; > cent_int := floor(centuries); > years := (centuries - cent_int) * years_in_century; > years_int := floor(years); > days := (years - years_int) * days_in_year; > days_int := floor(days); > hours := (days - days_int) * hours_in_day; > hours_int := floor(hours); > minutes := (hours - hours_int) * min_in_hour; > minutes_int := floor(minutes); > seconds := (minutes - minutes_int) * sec_in_min; > sec_int := floor(seconds); > fprintf(fd,""); > if (millinium_int > 0) then # if number 2 > fprintf(fd,"%d Millinia %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds",millinium_int,cent_int,years_int,days_int,hours_int,minutes_int,sec_int); > elif (cent_int > 0) then # if number 3 > fprintf(fd,"%d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds",cent_int,years_int,days_int,hours_int,minutes_int,sec_int); > elif (years_int > 0) then # if number 4 > fprintf(fd,"%d Years %d Days %d Hours %d Minutes %d Seconds",years_int,days_int,hours_int,minutes_int,sec_int); > elif (days_int > 0) then # if number 5 > fprintf(fd,"%d Days %d Hours %d Minutes %d Seconds",days_int,hours_int,minutes_int,sec_int); > elif (hours_int > 0) then # if number 6 > fprintf(fd,"%d Hours %d Minutes %d Seconds",hours_int,minutes_int,sec_int); > elif (minutes_int > 0) then # if number 7 > fprintf(fd,"%d Minutes %d Seconds",minutes_int,sec_int); > else > fprintf(fd,"%d Seconds",sec_int); > fi;# end if 7 > else > fprintf(fd,"Unknown"); > fi;# end if 6 > fprintf(fd,""); > # End Function number 2 > end; logitem_time := proc(fd, secs_in) local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int; global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century; secs := secs_in; if 0. < secs then sec_in_millinium := convfloat(sec_in_min*min_in_hour*hours_in_day* days_in_year*years_in_century*centuries_in_millinium); milliniums := convfloat(secs/sec_in_millinium); millinium_int := floor(milliniums); centuries := (milliniums - millinium_int)*centuries_in_millinium; cent_int := floor(centuries); years := (centuries - cent_int)*years_in_century; years_int := floor(years); days := (years - years_int)*days_in_year; days_int := floor(days); hours := (days - days_int)*hours_in_day; hours_int := floor(hours); minutes := (hours - hours_int)*min_in_hour; minutes_int := floor(minutes); seconds := (minutes - minutes_int)*sec_in_min; sec_int := floor(seconds); fprintf(fd, ""); if 0 < millinium_int then fprintf(fd, "%d Millinia %d Centuries %\ d Years %d Days %d Hours %d Minutes %d Seconds", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < cent_int then fprintf(fd, "%d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < years_int then fprintf(fd, "%d Years %d Days %d Hours %d Minutes %d Seconds", years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < days_int then fprintf(fd, "%d Days %d Hours %d Minutes %d Seconds", days_int, hours_int, minutes_int, sec_int) elif 0 < hours_int then fprintf(fd, "%d Hours %d Minutes %d Seconds", hours_int, minutes_int, sec_int) elif 0 < minutes_int then fprintf(fd, "%d Minutes %d Seconds", minutes_int, sec_int) else fprintf(fd, "%d Seconds", sec_int) end if else fprintf(fd, "Unknown") end if; fprintf(fd, "") end proc > omniout_timestr := proc (secs_in) > global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century; > local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int; > secs := convfloat(secs_in); > if (secs > 0.0) then # if number 6 > sec_in_millinium := convfloat(sec_in_min * min_in_hour * hours_in_day * days_in_year * years_in_century * centuries_in_millinium); > milliniums := convfloat(secs / sec_in_millinium); > millinium_int := floor(milliniums); > centuries := (milliniums - millinium_int)*centuries_in_millinium; > cent_int := floor(centuries); > years := (centuries - cent_int) * years_in_century; > years_int := floor(years); > days := (years - years_int) * days_in_year; > days_int := floor(days); > hours := (days - days_int) * hours_in_day; > hours_int := floor(hours); > minutes := (hours - hours_int) * min_in_hour; > minutes_int := floor(minutes); > seconds := (minutes - minutes_int) * sec_in_min; > sec_int := floor(seconds); > > if (millinium_int > 0) then # if number 7 > printf(" = %d Millinia %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds\n",millinium_int,cent_int,years_int,days_int,hours_int,minutes_int,sec_int); > elif (cent_int > 0) then # if number 8 > printf(" = %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds\n",cent_int,years_int,days_int,hours_int,minutes_int,sec_int); > elif (years_int > 0) then # if number 9 > printf(" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",years_int,days_int,hours_int,minutes_int,sec_int); > elif (days_int > 0) then # if number 10 > printf(" = %d Days %d Hours %d Minutes %d Seconds\n",days_int,hours_int,minutes_int,sec_int); > elif (hours_int > 0) then # if number 11 > printf(" = %d Hours %d Minutes %d Seconds\n",hours_int,minutes_int,sec_int); > elif (minutes_int > 0) then # if number 12 > printf(" = %d Minutes %d Seconds\n",minutes_int,sec_int); > else > printf(" = %d Seconds\n",sec_int); > fi;# end if 12 > else > printf(" Unknown\n"); > fi;# end if 11 > # End Function number 2 > end; omniout_timestr := proc(secs_in) local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int; global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century; secs := convfloat(secs_in); if 0. < secs then sec_in_millinium := convfloat(sec_in_min*min_in_hour*hours_in_day* days_in_year*years_in_century*centuries_in_millinium); milliniums := convfloat(secs/sec_in_millinium); millinium_int := floor(milliniums); centuries := (milliniums - millinium_int)*centuries_in_millinium; cent_int := floor(centuries); years := (centuries - cent_int)*years_in_century; years_int := floor(years); days := (years - years_int)*days_in_year; days_int := floor(days); hours := (days - days_int)*hours_in_day; hours_int := floor(hours); minutes := (hours - hours_int)*min_in_hour; minutes_int := floor(minutes); seconds := (minutes - minutes_int)*sec_in_min; sec_int := floor(seconds); if 0 < millinium_int then printf(" = %d Millinia %d Centuries %d\ Years %d Days %d Hours %d Minutes %d Seconds\n", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < cent_int then printf(" = %d Centuries %d Years %d Days \ %d Hours %d Minutes %d Seconds\n", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < years_int then printf( " = %d Years %d Days %d Hours %d Minutes %d Seconds\n", years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < days_int then printf( " = %d Days %d Hours %d Minutes %d Seconds\n", days_int, hours_int, minutes_int, sec_int) elif 0 < hours_int then printf( " = %d Hours %d Minutes %d Seconds\n", hours_int, minutes_int, sec_int) elif 0 < minutes_int then printf(" = %d Minutes %d Seconds\n", minutes_int, sec_int) else printf(" = %d Seconds\n", sec_int) end if else printf(" Unknown\n") end if end proc > > # Begin Function number 3 > ats := proc( > mmm_ats,array_a,array_b,jjj_ats) > local iii_ats, lll_ats,ma_ats, ret_ats; > ret_ats := 0.0; > if (jjj_ats <= mmm_ats) then # if number 11 > ma_ats := mmm_ats + 1; > iii_ats := jjj_ats; > while (iii_ats <= mmm_ats) do # do number 1 > lll_ats := ma_ats - iii_ats; > ret_ats := ret_ats + array_a[iii_ats]*array_b[lll_ats]; > iii_ats := iii_ats + 1; > od;# end do number 1 > fi;# end if 11 > ; > ret_ats > # End Function number 3 > end; ats := proc(mmm_ats, array_a, array_b, jjj_ats) local iii_ats, lll_ats, ma_ats, ret_ats; ret_ats := 0.; if jjj_ats <= mmm_ats then ma_ats := mmm_ats + 1; iii_ats := jjj_ats; while iii_ats <= mmm_ats do lll_ats := ma_ats - iii_ats; ret_ats := ret_ats + array_a[iii_ats]*array_b[lll_ats]; iii_ats := iii_ats + 1 end do end if; ret_ats end proc > > # Begin Function number 4 > att := proc( > mmm_att,array_aa,array_bb,jjj_att) > global glob_max_terms; > local al_att, iii_att,lll_att, ma_att, ret_att; > ret_att := 0.0; > if (jjj_att <= mmm_att) then # if number 11 > ma_att := mmm_att + 2; > iii_att := jjj_att; > while (iii_att <= mmm_att) do # do number 1 > lll_att := ma_att - iii_att; > al_att := (lll_att - 1); > if (lll_att <= glob_max_terms) then # if number 12 > ret_att := ret_att + array_aa[iii_att]*array_bb[lll_att]* convfp(al_att); > fi;# end if 12 > ; > iii_att := iii_att + 1; > od;# end do number 1 > ; > ret_att := ret_att / convfp(mmm_att) ; > fi;# end if 11 > ; > ret_att; > # End Function number 4 > end; att := proc(mmm_att, array_aa, array_bb, jjj_att) local al_att, iii_att, lll_att, ma_att, ret_att; global glob_max_terms; ret_att := 0.; if jjj_att <= mmm_att then ma_att := mmm_att + 2; iii_att := jjj_att; while iii_att <= mmm_att do lll_att := ma_att - iii_att; al_att := lll_att - 1; if lll_att <= glob_max_terms then ret_att := ret_att + array_aa[iii_att]*array_bb[lll_att]*convfp(al_att) end if; iii_att := iii_att + 1 end do; ret_att := ret_att/convfp(mmm_att) end if; ret_att end proc > # Begin Function number 5 > display_pole := proc() > global ALWAYS,glob_display_flag, glob_large_float, array_pole; > if ((array_pole[1] <> glob_large_float) and (array_pole[1] > 0.0) and (array_pole[2] <> glob_large_float) and (array_pole[2]> 0.0) and glob_display_flag) then # if number 11 > omniout_float(ALWAYS,"Radius of convergence ",4, array_pole[1],4," "); > omniout_float(ALWAYS,"Order of pole ",4, array_pole[2],4," "); > fi;# end if 11 > # End Function number 5 > end; display_pole := proc() global ALWAYS, glob_display_flag, glob_large_float, array_pole; if array_pole[1] <> glob_large_float and 0. < array_pole[1] and array_pole[2] <> glob_large_float and 0. < array_pole[2] and glob_display_flag then omniout_float(ALWAYS, "Radius of convergence ", 4, array_pole[1], 4, " "); omniout_float(ALWAYS, "Order of pole ", 4, array_pole[2], 4, " ") end if end proc > # Begin Function number 6 > logditto := proc(file) > fprintf(file,""); > fprintf(file,"ditto"); > fprintf(file,""); > # End Function number 6 > end; logditto := proc(file) fprintf(file, ""); fprintf(file, "ditto"); fprintf(file, "") end proc > # Begin Function number 7 > logitem_integer := proc(file,n) > fprintf(file,""); > fprintf(file,"%d",n); > fprintf(file,""); > # End Function number 7 > end; logitem_integer := proc(file, n) fprintf(file, ""); fprintf(file, "%d", n); fprintf(file, "") end proc > # Begin Function number 8 > logitem_str := proc(file,str) > fprintf(file,""); > fprintf(file,str); > fprintf(file,""); > # End Function number 8 > end; logitem_str := proc(file, str) fprintf(file, ""); fprintf(file, str); fprintf(file, "") end proc > # Begin Function number 9 > log_revs := proc(file,revs) > fprintf(file,revs); > # End Function number 9 > end; log_revs := proc(file, revs) fprintf(file, revs) end proc > # Begin Function number 10 > logitem_float := proc(file,x) > fprintf(file,""); > fprintf(file,"%g",x); > fprintf(file,""); > # End Function number 10 > end; logitem_float := proc(file, x) fprintf(file, ""); fprintf(file, "%g", x); fprintf(file, "") end proc > # Begin Function number 11 > logitem_pole := proc(file,pole) > fprintf(file,""); > if pole = 0 then # if number 11 > fprintf(file,"NA"); > elif pole = 1 then # if number 12 > fprintf(file,"Real"); > elif pole = 2 then # if number 13 > fprintf(file,"Complex"); > else > fprintf(file,"No Pole"); > fi;# end if 13 > fprintf(file,""); > # End Function number 11 > end; logitem_pole := proc(file, pole) fprintf(file, ""); if pole = 0 then fprintf(file, "NA") elif pole = 1 then fprintf(file, "Real") elif pole = 2 then fprintf(file, "Complex") else fprintf(file, "No Pole") end if; fprintf(file, "") end proc > # Begin Function number 12 > logstart := proc(file) > fprintf(file,""); > # End Function number 12 > end; logstart := proc(file) fprintf(file, "") end proc > # Begin Function number 13 > logend := proc(file) > fprintf(file,"\n"); > # End Function number 13 > end; logend := proc(file) fprintf(file, "\n") end proc > # Begin Function number 14 > chk_data := proc() > global glob_max_iter,ALWAYS, glob_max_terms; > local errflag; > errflag := false; > > if ((glob_max_terms < 15) or (glob_max_terms > 512)) then # if number 13 > omniout_str(ALWAYS,"Illegal max_terms = -- Using 30"); > glob_max_terms := 30; > fi;# end if 13 > ; > if (glob_max_iter < 2) then # if number 13 > omniout_str(ALWAYS,"Illegal max_iter"); > errflag := true; > fi;# end if 13 > ; > if (errflag) then # if number 13 > > quit; > fi;# end if 13 > # End Function number 14 > end; chk_data := proc() local errflag; global glob_max_iter, ALWAYS, glob_max_terms; errflag := false; if glob_max_terms < 15 or 512 < glob_max_terms then omniout_str(ALWAYS, "Illegal max_terms = -- Using 30"); glob_max_terms := 30 end if; if glob_max_iter < 2 then omniout_str(ALWAYS, "Illegal max_iter"); errflag := true end if; if errflag then quit end if end proc > > # Begin Function number 15 > comp_expect_sec := proc(t_end2,t_start2,t2,clock_sec) > global glob_small_float; > local ms2, rrr, sec_left, sub1, sub2; > ; > ms2 := clock_sec; > sub1 := (t_end2-t_start2); > sub2 := (t2-t_start2); > if (sub1 = 0.0) then # if number 13 > sec_left := 0.0; > else > if (abs(sub2) > 0.0) then # if number 14 > rrr := (sub1/sub2); > sec_left := rrr * ms2 - ms2; > else > sec_left := 0.0; > fi;# end if 14 > fi;# end if 13 > ; > sec_left; > # End Function number 15 > end; comp_expect_sec := proc(t_end2, t_start2, t2, clock_sec) local ms2, rrr, sec_left, sub1, sub2; global glob_small_float; ms2 := clock_sec; sub1 := t_end2 - t_start2; sub2 := t2 - t_start2; if sub1 = 0. then sec_left := 0. else if 0. < abs(sub2) then rrr := sub1/sub2; sec_left := rrr*ms2 - ms2 else sec_left := 0. end if end if; sec_left end proc > > # Begin Function number 16 > comp_percent := proc(t_end2,t_start2,t2) > global glob_small_float; > local rrr, sub1, sub2; > sub1 := (t_end2-t_start2); > sub2 := (t2-t_start2); > if (abs(sub2) > glob_small_float) then # if number 13 > rrr := (100.0*sub2)/sub1; > else > rrr := 0.0; > fi;# end if 13 > ; > rrr > # End Function number 16 > end; comp_percent := proc(t_end2, t_start2, t2) local rrr, sub1, sub2; global glob_small_float; sub1 := t_end2 - t_start2; sub2 := t2 - t_start2; if glob_small_float < abs(sub2) then rrr := 100.0*sub2/sub1 else rrr := 0. end if; rrr end proc > > # Begin Function number 17 > factorial_1 := proc(nnn) > nnn!; > > # End Function number 17 > end; factorial_1 := proc(nnn) nnn! end proc > > # Begin Function number 18 > factorial_3 := proc(mmm2,nnn2) > (mmm2!)/(nnn2!); > > # End Function number 18 > end; factorial_3 := proc(mmm2, nnn2) mmm2!/nnn2! end proc > # Begin Function number 19 > convfp := proc(mmm) > (mmm); > > # End Function number 19 > end; convfp := proc(mmm) mmm end proc > # Begin Function number 20 > convfloat := proc(mmm) > (mmm); > > # End Function number 20 > end; convfloat := proc(mmm) mmm end proc > elapsed_time_seconds := proc() > time(); > end; elapsed_time_seconds := proc() time() end proc > > > > #END ATS LIBRARY BLOCK > #BEGIN USER DEF BLOCK > #BEGIN USER DEF BLOCK > exact_soln_y := proc(x) > 1.0/x/x/x; > end; exact_soln_y := proc(x) 1.0/(x*x*x) end proc > > > #END USER DEF BLOCK > #END USER DEF BLOCK > #END OUTFILE5 > # Begin Function number 2 > mainprog := proc() > #BEGIN OUTFIEMAIN > local d1,d2,d3,d4,est_err_2,niii,done_once, > term,ord,order_diff,term_no,html_log_file, > 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 > glob_max_terms, > DEBUGL, > INFO, > glob_iolevel, > DEBUGMASSIVE, > ALWAYS, > #Top Generate Globals Decl > glob_log10abserr, > glob_large_float, > glob_hmin_init, > glob_disp_incr, > glob_not_yet_finished, > years_in_century, > sec_in_min, > glob_dump, > glob_max_opt_iter, > glob_subiter_method, > glob_max_sec, > glob_look_poles, > glob_optimal_expect_sec, > glob_no_eqs, > glob_max_hours, > glob_current_iter, > glob_start, > glob_smallish_float, > glob_clock_start_sec, > centuries_in_millinium, > min_in_hour, > djd_debug2, > glob_normmax, > glob_max_rel_trunc_err, > glob_reached_optimal_h, > days_in_year, > glob_log10relerr, > MAX_UNCHANGED, > glob_log10_relerr, > glob_dump_analytic, > glob_last_good_h, > glob_almost_1, > hours_in_day, > djd_debug, > glob_html_log, > glob_warned2, > glob_optimal_clock_start_sec, > glob_max_iter, > glob_display_flag, > glob_log10normmin, > glob_curr_iter_when_opt, > glob_orig_start_sec, > glob_warned, > glob_relerr, > glob_optimal_done, > glob_not_yet_start_msg, > glob_initial_pass, > glob_max_minutes, > glob_unchanged_h_cnt, > glob_clock_sec, > glob_iter, > glob_small_float, > glob_abserr, > glob_hmax, > glob_optimal_start, > glob_max_trunc_err, > glob_log10_abserr, > glob_hmin, > glob_h, > glob_percent_done, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_3D0, > array_const_0D0, > array_const_1, > #END CONST > array_1st_rel_error, > array_m1, > array_last_rel_error, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_y_init, > array_type_pole, > array_y, > array_x, > array_norms, > array_pole, > array_y_higher_work2, > array_poles, > array_real_pole, > array_y_higher, > array_complex_pole, > array_y_set_initial, > array_y_higher_work, > glob_last; > glob_last; > ALWAYS := 1; > INFO := 2; > DEBUGL := 3; > DEBUGMASSIVE := 4; > glob_iolevel := INFO; > glob_max_terms := 30; > DEBUGL := 3; > INFO := 2; > glob_iolevel := 5; > DEBUGMASSIVE := 4; > ALWAYS := 1; > glob_log10abserr := 0.0; > glob_large_float := 9.0e100; > glob_hmin_init := 0.001; > glob_disp_incr := 0.1; > glob_not_yet_finished := true; > years_in_century := 100.0; > sec_in_min := 60.0; > glob_dump := false; > glob_max_opt_iter := 10; > glob_subiter_method := 3; > glob_max_sec := 10000.0; > glob_look_poles := false; > glob_optimal_expect_sec := 0.1; > glob_no_eqs := 0; > glob_max_hours := 0.0; > glob_current_iter := 0; > glob_start := 0; > glob_smallish_float := 0.1e-100; > glob_clock_start_sec := 0.0; > centuries_in_millinium := 10.0; > min_in_hour := 60.0; > djd_debug2 := true; > glob_normmax := 0.0; > glob_max_rel_trunc_err := 0.1e-10; > glob_reached_optimal_h := false; > days_in_year := 365.0; > glob_log10relerr := 0.0; > MAX_UNCHANGED := 10; > glob_log10_relerr := 0.1e-10; > glob_dump_analytic := false; > glob_last_good_h := 0.1; > glob_almost_1 := 0.9990; > hours_in_day := 24.0; > djd_debug := true; > glob_html_log := true; > glob_warned2 := false; > glob_optimal_clock_start_sec := 0.0; > glob_max_iter := 1000; > glob_display_flag := true; > glob_log10normmin := 0.1; > glob_curr_iter_when_opt := 0; > glob_orig_start_sec := 0.0; > glob_warned := false; > glob_relerr := 0.1e-10; > glob_optimal_done := false; > glob_not_yet_start_msg := true; > glob_initial_pass := true; > glob_max_minutes := 0.0; > glob_unchanged_h_cnt := 0; > glob_clock_sec := 0.0; > glob_iter := 0; > glob_small_float := 0.1e-50; > glob_abserr := 0.1e-10; > glob_hmax := 1.0; > glob_optimal_start := 0.0; > glob_max_trunc_err := 0.1e-10; > glob_log10_abserr := 0.1e-10; > glob_hmin := 0.00000000001; > glob_h := 0.1; > glob_percent_done := 0.0; > #Write Set Defaults > glob_orig_start_sec := elapsed_time_seconds(); > MAX_UNCHANGED := 10; > glob_curr_iter_when_opt := 0; > glob_display_flag := true; > glob_no_eqs := 1; > glob_iter := -1; > opt_iter := -1; > glob_max_iter := 50000; > glob_max_hours := 0.0; > glob_max_minutes := 15.0; > omniout_str(ALWAYS,"##############ECHO OF PROBLEM#################"); > omniout_str(ALWAYS,"##############temp/sing5postode.ode#################"); > omniout_str(ALWAYS,"diff ( y , x , 1 ) = m1 * 3.0 / x / x / x / 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 := -0.7;"); > 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 := 0.0001 ;"); > omniout_str(ALWAYS,"glob_look_poles := true;"); > omniout_str(ALWAYS,"glob_max_iter := 1000;"); > omniout_str(ALWAYS,"glob_max_minutes := 15;"); > omniout_str(ALWAYS,"#END OVERRIDE BLOCK"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#BEGIN USER DEF BLOCK"); > omniout_str(ALWAYS,"exact_soln_y := proc(x)"); > omniout_str(ALWAYS,"1.0/x/x/x;"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,""); > omniout_str(ALWAYS,""); > omniout_str(ALWAYS,"#END USER DEF BLOCK"); > omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################"); > glob_unchanged_h_cnt := 0; > glob_warned := false; > glob_warned2 := false; > glob_small_float := 1.0e-200; > glob_smallish_float := 1.0e-64; > glob_large_float := 1.0e100; > glob_almost_1 := 0.99; > glob_log10_abserr := -8.0; > glob_log10_relerr := -8.0; > glob_hmax := 0.01; > #BEGIN FIRST INPUT BLOCK > #BEGIN FIRST INPUT BLOCK > Digits := 32; > max_terms := 30; > #END FIRST INPUT BLOCK > #START OF INITS AFTER INPUT BLOCK > glob_max_terms := max_terms; > glob_html_log := true; > #END OF INITS AFTER INPUT BLOCK > array_1st_rel_error:= Array(1..(max_terms + 1),[]); > array_m1:= Array(1..(max_terms + 1),[]); > array_last_rel_error:= Array(1..(max_terms + 1),[]); > array_tmp0:= Array(1..(max_terms + 1),[]); > array_tmp1:= Array(1..(max_terms + 1),[]); > array_tmp2:= Array(1..(max_terms + 1),[]); > array_tmp3:= Array(1..(max_terms + 1),[]); > array_tmp4:= Array(1..(max_terms + 1),[]); > array_tmp5:= Array(1..(max_terms + 1),[]); > array_tmp6:= Array(1..(max_terms + 1),[]); > array_y_init:= Array(1..(max_terms + 1),[]); > array_type_pole:= Array(1..(max_terms + 1),[]); > array_y:= Array(1..(max_terms + 1),[]); > array_x:= Array(1..(max_terms + 1),[]); > array_norms:= Array(1..(max_terms + 1),[]); > array_pole:= Array(1..(max_terms + 1),[]); > array_y_higher_work2 := Array(1..(2+ 1) ,(1..max_terms+ 1),[]); > array_poles := Array(1..(1+ 1) ,(1..3+ 1),[]); > array_real_pole := Array(1..(1+ 1) ,(1..3+ 1),[]); > array_y_higher := Array(1..(2+ 1) ,(1..max_terms+ 1),[]); > array_complex_pole := Array(1..(1+ 1) ,(1..3+ 1),[]); > array_y_set_initial := Array(1..(2+ 1) ,(1..max_terms+ 1),[]); > array_y_higher_work := Array(1..(2+ 1) ,(1..max_terms+ 1),[]); > term := 1; > while term <= max_terms do # do number 2 > array_1st_rel_error[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_last_rel_error[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp0[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp2[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp3[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp4[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp5[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp6[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_y_init[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_type_pole[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_y[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_x[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_norms[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_pole[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y_higher_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_real_pole[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y_higher[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=1 do # do number 2 > term := 1; > while term <= 3 do # do number 3 > array_complex_pole[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y_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_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_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp6 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp6[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp5 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp5[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp4 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp4[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp3 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp3[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp2[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp0[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_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_3D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_const_3D0[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_3D0[1] := 3.0; > array_const_0D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_const_0D0[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_0D0[1] := 0.0; > array_const_1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_const_1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_1[1] := 1; > array_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_m1[1] := -1.0; > #END ARRAYS DEFINED AND INITIALIZATED > #TOP SECOND INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > #END FIRST INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > x_start := -1.0; > x_end := -0.7; > 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 := 0.0001 ; > glob_look_poles := true; > glob_max_iter := 1000; > glob_max_minutes := 15; > #END OVERRIDE BLOCK > #END SECOND INPUT BLOCK > #BEGIN INITS AFTER SECOND INPUT BLOCK > glob_last_good_h := glob_h; > glob_max_terms := max_terms; > glob_max_sec := convfloat(60.0) * convfloat(glob_max_minutes) + convfloat(3600.0) * convfloat(glob_max_hours); > glob_abserr := 10.0 ^ (glob_log10_abserr); > glob_relerr := 10.0 ^ (glob_log10_relerr); > chk_data(); > #AFTER INITS AFTER SECOND INPUT BLOCK > array_y_set_initial[1,1] := true; > array_y_set_initial[1,2] := false; > array_y_set_initial[1,3] := false; > array_y_set_initial[1,4] := false; > array_y_set_initial[1,5] := false; > array_y_set_initial[1,6] := false; > array_y_set_initial[1,7] := false; > array_y_set_initial[1,8] := false; > array_y_set_initial[1,9] := false; > array_y_set_initial[1,10] := false; > array_y_set_initial[1,11] := false; > array_y_set_initial[1,12] := false; > array_y_set_initial[1,13] := false; > array_y_set_initial[1,14] := false; > array_y_set_initial[1,15] := false; > array_y_set_initial[1,16] := false; > array_y_set_initial[1,17] := false; > array_y_set_initial[1,18] := false; > array_y_set_initial[1,19] := false; > array_y_set_initial[1,20] := false; > array_y_set_initial[1,21] := false; > array_y_set_initial[1,22] := false; > array_y_set_initial[1,23] := false; > array_y_set_initial[1,24] := false; > array_y_set_initial[1,25] := false; > array_y_set_initial[1,26] := false; > array_y_set_initial[1,27] := false; > array_y_set_initial[1,28] := false; > array_y_set_initial[1,29] := false; > array_y_set_initial[1,30] := false; > if glob_html_log then # if number 2 > html_log_file := fopen("html/entry.html",WRITE,TEXT); > fi;# end if 2 > ; > #BEGIN SOLUTION CODE > omniout_str(ALWAYS,"START of Soultion"); > #Start Series -- INITIALIZE FOR SOLUTION > array_x[1] := x_start; > array_x[2] := glob_h; > order_diff := 1; > #Start Series array_y > term_no := 1; > while (term_no <= order_diff) do # do number 2 > array_y[term_no] := array_y_init[term_no] * glob_h ^ (term_no - 1) / factorial_1(term_no - 1); > term_no := term_no + 1; > od;# end do number 2 > ; > rows := order_diff; > r_order := 1; > while (r_order <= rows) do # do number 2 > term_no := 1; > while (term_no <= (rows - r_order + 1)) do # do number 3 > it := term_no + r_order - 1; > array_y_higher[r_order,term_no] := array_y_init[it]* (glob_h ^ (term_no - 1)) / ((factorial_1(term_no - 1))); > term_no := term_no + 1; > od;# end do number 3 > ; > r_order := r_order + 1; > od;# end do number 2 > ; > current_iter := 1; > glob_clock_start_sec := elapsed_time_seconds(); > start_array_y(); > if (abs(array_y_higher[1,1]) > glob_small_float) then # if number 2 > tmp := abs(array_y_higher[1,1]); > log10norm := (log10(tmp)); > if (log10norm < glob_log10normmin) then # if number 3 > glob_log10normmin := log10norm; > fi;# end if 3 > fi;# end if 2 > ; > display_alot(current_iter) > ; > glob_clock_sec := elapsed_time_seconds(); > glob_current_iter := 0; > glob_iter := 0; > omniout_str(DEBUGL," "); > glob_reached_optimal_h := true; > glob_optimal_clock_start_sec := elapsed_time_seconds(); > while ((glob_current_iter < glob_max_iter) and (array_x[1] <= x_end ) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2 > #left paren 0001C > omniout_str(INFO," "); > omniout_str(INFO,"TOP MAIN SOLVE Loop"); > glob_iter := glob_iter + 1; > glob_clock_sec := elapsed_time_seconds(); > glob_current_iter := glob_current_iter + 1; > atomall(); > if (glob_look_poles) then # if number 2 > #left paren 0004C > check_for_pole(); > fi;# end if 2 > ;#was right paren 0004C > array_x[1] := array_x[1] + glob_h; > array_x[2] := glob_h; > #Jump Series array_y > order_diff := 1; > #START PART 1 SUM AND ADJUST > #START SUM AND ADJUST EQ =1 > #sum_and_adjust array_y > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 2; > calc_term := 1; > #adjust_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y_higher_work[2,iii] := array_y_higher[2,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 2; > calc_term := 1; > #sum_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 2; > #adjust_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y_higher_work[1,iii] := array_y_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 1; > calc_term := 2; > #sum_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 1; > #adjust_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y_higher_work[1,iii] := array_y_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 1; > calc_term := 1; > #sum_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #END SUM AND ADJUST EQ =1 > #END PART 1 > #START PART 2 MOVE TERMS to REGULAR Array > term_no := glob_max_terms; > while (term_no >= 1) do # do number 3 > array_y[term_no] := array_y_higher_work2[1,term_no]; > ord := 1; > while ord <= order_diff do # do number 4 > array_y_higher[ord,term_no] := array_y_higher_work2[ord,term_no]; > ord := ord + 1; > od;# end do number 4 > ; > term_no := term_no - 1; > od;# end do number 3 > ; > #END PART 2 HEVE MOVED TERMS to REGULAR Array > display_alot(current_iter) > ; > od;# end do number 2 > ;#right paren 0001C > omniout_str(ALWAYS,"Finished!"); > if (glob_iter >= glob_max_iter) then # if number 2 > omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!") > fi;# end if 2 > ; > if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 2 > omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!") > fi;# end if 2 > ; > glob_clock_sec := elapsed_time_seconds(); > omniout_str(INFO,"diff ( y , x , 1 ) = m1 * 3.0 / x / x / x / 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,"2012-06-13T18:59:17-05:00") > ; > logitem_str(html_log_file,"Maple") > ; > logitem_str(html_log_file,"sing5") > ; > logitem_str(html_log_file,"diff ( y , x , 1 ) = m1 * 3.0 / x / x / x / 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," 090 ") > ; > logitem_str(html_log_file,"sing5 diffeq.mxt") > ; > logitem_str(html_log_file,"sing5 maple results") > ; > logitem_str(html_log_file,"Test of revised logic - mostly affecting systems of eqs") > ; > logend(html_log_file) > ; > ; > fi;# end if 2 > ; > if glob_html_log then # if number 2 > fclose(html_log_file); > fi;# end if 2 > ; > ;; > #END OUTFILEMAIN > # End Function number 8 > end; mainprog := proc() local d1, d2, d3, d4, est_err_2, niii, done_once, term, ord, order_diff, term_no, html_log_file, rows, r_order, sub_iter, calc_term, iii, temp_sum, current_iter, x_start, x_end, it, log10norm, max_terms, opt_iter, tmp; global glob_max_terms, DEBUGL, INFO, glob_iolevel, DEBUGMASSIVE, ALWAYS, glob_log10abserr, glob_large_float, glob_hmin_init, glob_disp_incr, glob_not_yet_finished, years_in_century, sec_in_min, glob_dump, glob_max_opt_iter, glob_subiter_method, glob_max_sec, glob_look_poles, glob_optimal_expect_sec, glob_no_eqs, glob_max_hours, glob_current_iter, glob_start, glob_smallish_float, glob_clock_start_sec, centuries_in_millinium, min_in_hour, djd_debug2, glob_normmax, glob_max_rel_trunc_err, glob_reached_optimal_h, days_in_year, glob_log10relerr, MAX_UNCHANGED, glob_log10_relerr, glob_dump_analytic, glob_last_good_h, glob_almost_1, hours_in_day, djd_debug, glob_html_log, glob_warned2, glob_optimal_clock_start_sec, glob_max_iter, glob_display_flag, glob_log10normmin, glob_curr_iter_when_opt, glob_orig_start_sec, glob_warned, glob_relerr, glob_optimal_done, glob_not_yet_start_msg, glob_initial_pass, glob_max_minutes, glob_unchanged_h_cnt, glob_clock_sec, glob_iter, glob_small_float, glob_abserr, glob_hmax, glob_optimal_start, glob_max_trunc_err, glob_log10_abserr, glob_hmin, glob_h, glob_percent_done, array_const_3D0, array_const_0D0, array_const_1, array_1st_rel_error, array_m1, array_last_rel_error, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_y_init, array_type_pole, array_y, array_x, array_norms, array_pole, array_y_higher_work2, array_poles, array_real_pole, array_y_higher, array_complex_pole, array_y_set_initial, array_y_higher_work, glob_last; glob_last; ALWAYS := 1; INFO := 2; DEBUGL := 3; DEBUGMASSIVE := 4; glob_iolevel := INFO; glob_max_terms := 30; DEBUGL := 3; INFO := 2; glob_iolevel := 5; DEBUGMASSIVE := 4; ALWAYS := 1; glob_log10abserr := 0.; glob_large_float := 0.90*10^101; glob_hmin_init := 0.001; glob_disp_incr := 0.1; glob_not_yet_finished := true; years_in_century := 100.0; sec_in_min := 60.0; glob_dump := false; glob_max_opt_iter := 10; glob_subiter_method := 3; glob_max_sec := 10000.0; glob_look_poles := false; glob_optimal_expect_sec := 0.1; glob_no_eqs := 0; glob_max_hours := 0.; glob_current_iter := 0; glob_start := 0; glob_smallish_float := 0.1*10^(-100); glob_clock_start_sec := 0.; centuries_in_millinium := 10.0; min_in_hour := 60.0; djd_debug2 := true; glob_normmax := 0.; glob_max_rel_trunc_err := 0.1*10^(-10); glob_reached_optimal_h := false; days_in_year := 365.0; glob_log10relerr := 0.; MAX_UNCHANGED := 10; glob_log10_relerr := 0.1*10^(-10); glob_dump_analytic := false; glob_last_good_h := 0.1; glob_almost_1 := 0.9990; hours_in_day := 24.0; djd_debug := true; glob_html_log := true; glob_warned2 := false; glob_optimal_clock_start_sec := 0.; glob_max_iter := 1000; glob_display_flag := true; glob_log10normmin := 0.1; glob_curr_iter_when_opt := 0; glob_orig_start_sec := 0.; glob_warned := false; glob_relerr := 0.1*10^(-10); glob_optimal_done := false; glob_not_yet_start_msg := true; glob_initial_pass := true; glob_max_minutes := 0.; glob_unchanged_h_cnt := 0; glob_clock_sec := 0.; glob_iter := 0; glob_small_float := 0.1*10^(-50); glob_abserr := 0.1*10^(-10); glob_hmax := 1.0; glob_optimal_start := 0.; glob_max_trunc_err := 0.1*10^(-10); glob_log10_abserr := 0.1*10^(-10); glob_hmin := 0.1*10^(-10); glob_h := 0.1; glob_percent_done := 0.; glob_orig_start_sec := elapsed_time_seconds(); MAX_UNCHANGED := 10; glob_curr_iter_when_opt := 0; glob_display_flag := true; glob_no_eqs := 1; glob_iter := -1; opt_iter := -1; glob_max_iter := 50000; glob_max_hours := 0.; glob_max_minutes := 15.0; omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################"); omniout_str(ALWAYS, "##############temp/sing5postode.ode#################"); omniout_str(ALWAYS, "diff ( y , x , 1 ) = m1 * 3.0 / x / x / x / 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 := -0.7;"); 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 := 0.0001 ;"); omniout_str(ALWAYS, "glob_look_poles := true;"); omniout_str(ALWAYS, "glob_max_iter := 1000;"); omniout_str(ALWAYS, "glob_max_minutes := 15;"); omniout_str(ALWAYS, "#END OVERRIDE BLOCK"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#BEGIN USER DEF BLOCK"); omniout_str(ALWAYS, "exact_soln_y := proc(x)"); omniout_str(ALWAYS, "1.0/x/x/x;"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, ""); omniout_str(ALWAYS, ""); omniout_str(ALWAYS, "#END USER DEF BLOCK"); omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"); glob_unchanged_h_cnt := 0; glob_warned := false; glob_warned2 := false; glob_small_float := 0.10*10^(-199); glob_smallish_float := 0.10*10^(-63); glob_large_float := 0.10*10^101; glob_almost_1 := 0.99; glob_log10_abserr := -8.0; glob_log10_relerr := -8.0; glob_hmax := 0.01; Digits := 32; max_terms := 30; glob_max_terms := max_terms; glob_html_log := true; array_1st_rel_error := Array(1 .. max_terms + 1, []); array_m1 := Array(1 .. max_terms + 1, []); array_last_rel_error := Array(1 .. max_terms + 1, []); array_tmp0 := Array(1 .. max_terms + 1, []); array_tmp1 := Array(1 .. max_terms + 1, []); array_tmp2 := Array(1 .. max_terms + 1, []); array_tmp3 := Array(1 .. max_terms + 1, []); array_tmp4 := Array(1 .. max_terms + 1, []); array_tmp5 := Array(1 .. max_terms + 1, []); array_tmp6 := Array(1 .. max_terms + 1, []); array_y_init := Array(1 .. max_terms + 1, []); array_type_pole := Array(1 .. max_terms + 1, []); array_y := Array(1 .. max_terms + 1, []); array_x := Array(1 .. max_terms + 1, []); array_norms := Array(1 .. max_terms + 1, []); array_pole := Array(1 .. max_terms + 1, []); array_y_higher_work2 := Array(1 .. 3, 1 .. max_terms + 1, []); array_poles := Array(1 .. 2, 1 .. 4, []); array_real_pole := Array(1 .. 2, 1 .. 4, []); array_y_higher := Array(1 .. 3, 1 .. max_terms + 1, []); array_complex_pole := Array(1 .. 2, 1 .. 4, []); array_y_set_initial := Array(1 .. 3, 1 .. max_terms + 1, []); array_y_higher_work := Array(1 .. 3, 1 .. max_terms + 1, []); term := 1; while term <= max_terms do array_1st_rel_error[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_m1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_last_rel_error[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp0[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp2[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp3[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp4[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp5[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp6[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_y_init[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_type_pole[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_y[term] := 0.; term := term + 1 end do ; term := 1; while term <= max_terms do array_x[term] := 0.; term := term + 1 end do ; term := 1; while term <= max_terms do array_norms[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_pole[term] := 0.; term := term + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_higher_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_real_pole[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_higher[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 1 do term := 1; while term <= 3 do array_complex_pole[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_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_work[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; array_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1 end do; array_tmp6 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp6[term] := 0.; term := term + 1 end do; array_tmp5 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp5[term] := 0.; term := term + 1 end do; array_tmp4 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1 end do; array_tmp3 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1 end do; array_tmp2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1 end do; array_tmp1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1 end do; array_tmp0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1 end do; array_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_3D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_3D0[term] := 0.; term := term + 1 end do; array_const_3D0[1] := 3.0; array_const_0D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_0D0[term] := 0.; term := term + 1 end do; array_const_0D0[1] := 0.; array_const_1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_1[term] := 0.; term := term + 1 end do; array_const_1[1] := 1; array_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms do array_m1[term] := 0.; term := term + 1 end do; array_m1[1] := -1.0; x_start := -1.0; x_end := -0.7; array_y_init[1] := exact_soln_y(x_start); glob_h := 0.00001; glob_look_poles := true; glob_max_iter := 100; glob_h := 0.0001; glob_look_poles := true; glob_max_iter := 1000; glob_max_minutes := 15; glob_last_good_h := glob_h; glob_max_terms := max_terms; glob_max_sec := convfloat(60.0)*convfloat(glob_max_minutes) + convfloat(3600.0)*convfloat(glob_max_hours); glob_abserr := 10.0^glob_log10_abserr; glob_relerr := 10.0^glob_log10_relerr; chk_data(); array_y_set_initial[1, 1] := true; array_y_set_initial[1, 2] := false; array_y_set_initial[1, 3] := false; array_y_set_initial[1, 4] := false; array_y_set_initial[1, 5] := false; array_y_set_initial[1, 6] := false; array_y_set_initial[1, 7] := false; array_y_set_initial[1, 8] := false; array_y_set_initial[1, 9] := false; array_y_set_initial[1, 10] := false; array_y_set_initial[1, 11] := false; array_y_set_initial[1, 12] := false; array_y_set_initial[1, 13] := false; array_y_set_initial[1, 14] := false; array_y_set_initial[1, 15] := false; array_y_set_initial[1, 16] := false; array_y_set_initial[1, 17] := false; array_y_set_initial[1, 18] := false; array_y_set_initial[1, 19] := false; array_y_set_initial[1, 20] := false; array_y_set_initial[1, 21] := false; array_y_set_initial[1, 22] := false; array_y_set_initial[1, 23] := false; array_y_set_initial[1, 24] := false; array_y_set_initial[1, 25] := false; array_y_set_initial[1, 26] := false; array_y_set_initial[1, 27] := false; array_y_set_initial[1, 28] := false; array_y_set_initial[1, 29] := false; array_y_set_initial[1, 30] := false; if glob_html_log then html_log_file := fopen("html/entry.html", WRITE, TEXT) end if; omniout_str(ALWAYS, "START of Soultion"); array_x[1] := x_start; array_x[2] := glob_h; order_diff := 1; term_no := 1; while term_no <= order_diff do array_y[term_no] := array_y_init[term_no]*glob_h^(term_no - 1)/ factorial_1(term_no - 1); term_no := term_no + 1 end do; rows := order_diff; r_order := 1; while r_order <= rows do term_no := 1; while term_no <= rows - r_order + 1 do it := term_no + r_order - 1; array_y_higher[r_order, term_no] := array_y_init[it]* glob_h^(term_no - 1)/factorial_1(term_no - 1); term_no := term_no + 1 end do; r_order := r_order + 1 end do; current_iter := 1; glob_clock_start_sec := elapsed_time_seconds(); start_array_y(); if glob_small_float < abs(array_y_higher[1, 1]) then tmp := abs(array_y_higher[1, 1]); log10norm := log10(tmp); if log10norm < glob_log10normmin then glob_log10normmin := log10norm end if end if; display_alot(current_iter); glob_clock_sec := elapsed_time_seconds(); glob_current_iter := 0; glob_iter := 0; omniout_str(DEBUGL, " "); glob_reached_optimal_h := true; glob_optimal_clock_start_sec := elapsed_time_seconds(); while glob_current_iter < glob_max_iter and array_x[1] <= x_end and convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) < convfloat(glob_max_sec) do omniout_str(INFO, " "); omniout_str(INFO, "TOP MAIN SOLVE Loop"); glob_iter := glob_iter + 1; glob_clock_sec := elapsed_time_seconds(); glob_current_iter := glob_current_iter + 1; atomall(); if glob_look_poles then check_for_pole() end if; array_x[1] := array_x[1] + glob_h; array_x[2] := glob_h; order_diff := 1; ord := 2; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y_higher_work[2, iii] := array_y_higher[2, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 2; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y_higher_work[ord, iii]; iii := iii - 1 end do; array_y_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 1; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do array_y_higher_work[1, iii] := array_y_higher[1, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y_higher_work[ord, iii]; iii := iii - 1 end do; array_y_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 1; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y_higher_work[1, iii] := array_y_higher[1, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y_higher_work[ord, iii]; iii := iii - 1 end do; array_y_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; term_no := glob_max_terms; while 1 <= term_no do array_y[term_no] := array_y_higher_work2[1, term_no]; ord := 1; while ord <= order_diff do array_y_higher[ord, term_no] := array_y_higher_work2[ord, term_no]; ord := ord + 1 end do; term_no := term_no - 1 end do; display_alot(current_iter) end do; omniout_str(ALWAYS, "Finished!"); if glob_max_iter <= glob_iter then omniout_str(ALWAYS, "Maximum Iterations Reached before Solution Completed!") end if; if convfloat(glob_max_sec) <= elapsed_time_seconds() - convfloat(glob_orig_start_sec) then omniout_str(ALWAYS, "Maximum Time Reached before Solution Completed!") end if; glob_clock_sec := elapsed_time_seconds(); omniout_str(INFO, "diff ( y , x , 1 ) = m1 * 3.0 / x / x / x / 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, "2012-06-13T18:59:17-05:00"); logitem_str(html_log_file, "Maple"); logitem_str(html_log_file, "sing5"); logitem_str(html_log_file, "diff ( y , x , 1 ) = m1 * 3.0 / x / x / x / 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, " 090 "); logitem_str(html_log_file, "sing5 diffeq.mxt"); logitem_str(html_log_file, "sing5 maple results"); logitem_str(html_log_file, "Test of revised logic - mostly affecting systems of eqs"); logend(html_log_file) end if; if glob_html_log then fclose(html_log_file) end if end proc > mainprog(); ##############ECHO OF PROBLEM################# ##############temp/sing5postode.ode################# diff ( y , x , 1 ) = m1 * 3.0 / x / x / x / x ; ! #BEGIN FIRST INPUT BLOCK Digits := 32; max_terms := 30; ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start := -1.0; x_end := -0.7; 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 := 0.0001 ; glob_look_poles := true; glob_max_iter := 1000; glob_max_minutes := 15; #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK exact_soln_y := proc(x) 1.0/x/x/x; end; #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = -1 y[1] (analytic) = -1 y[1] (numeric) = -1 absolute error = 0 relative error = 0 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.011 Order of pole = 5.626 x[1] = -0.9999 y[1] (analytic) = -1.0003000600100015002100280036005 y[1] (numeric) = -1.0003000600100015002110081764288 absolute error = 9.801728283e-22 relative error = 9.7987880585571467617169999999995e-20 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.011 Order of pole = 5.626 x[1] = -0.9998 y[1] (analytic) = -1.0006002400800240067217924609153 y[1] (numeric) = -1.000600240080024006723753689186 absolute error = 1.9612282707e-21 relative error = 1.9600517690692826578343999999999e-19 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.011 Order of pole = 5.626 x[1] = -0.9997 y[1] (analytic) = -1.0009005402701215510504198761535 y[1] (numeric) = -1.000900540270121551053363043364 absolute error = 2.9431672105e-21 relative error = 2.9405191545862313203165000000001e-19 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.011 Order of pole = 5.626 x[1] = -0.9996 y[1] (analytic) = -1.0012009606403842151547470119056 y[1] (numeric) = -1.0012009606403842151586730024372 absolute error = 3.9259905316e-21 relative error = 3.9212812271862717739776000000001e-19 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.011 Order of pole = 5.626 x[1] = -0.9995 y[1] (analytic) = -1.0015015012509381566877814258887 y[1] (numeric) = -1.0015015012509381566926911250079 absolute error = 4.9096991192e-21 relative error = 4.9023382521818270101000000000002e-19 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.011 Order of pole = 5.626 x[1] = -0.9994 y[1] (analytic) = -1.0018021621619456342673765259818 y[1] (numeric) = -1.0018021621619456342732708198412 absolute error = 5.8942938594e-21 relative error = 5.8836904950172806783696000000004e-19 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.011 Order of pole = 5.626 x[1] = -0.9993 y[1] (analytic) = -1.0021029434336050327671393511817 y[1] (numeric) = -1.0021029434336050327740191268209 absolute error = 6.8797756392e-21 relative error = 6.8653382212681065797544000000004e-19 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.011 Order of pole = 5.626 x[1] = -0.9992 y[1] (analytic) = -1.0024038451261508886275893043363 y[1] (numeric) = -1.0024038451261508886354554496828 absolute error = 7.8661453465e-21 relative error = 7.8472816966399988625919999999998e-19 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.01 Order of pole = 5.626 x[1] = -0.9991 y[1] (analytic) = -1.0027048672998539151875860807557 y[1] (numeric) = -1.0027048672998539151964394846262 absolute error = 8.8534038705e-21 relative error = 8.8295211873669238934054999999992e-19 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.01 Order of pole = 5.626 x[1] = -0.999 y[1] (analytic) = -1.0030060100150210280360450550661 y[1] (numeric) = -1.0030060100150210280458866071674 absolute error = 9.8415521013e-21 relative error = 9.8120569598108517986999999999998e-19 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.01 Order of pole = 5.626 x[1] = -0.9989 y[1] (analytic) = -1.003307273331995370383958406955 y[1] (numeric) = -1.0033072733319953703947889978847 absolute error = 1.08305909297e-20 relative error = 1.0794889280261548283569300000000e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.01 Order of pole = 5.626 x[1] = -0.9988 y[1] (analytic) = -1.0036086573111563384567402847603 y[1] (numeric) = -1.0036086573111563384685608060081 absolute error = 1.18205212478e-20 relative error = 1.1778018415533849779801600000001e-18 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3.8MB, alloc=3.1MB, time=0.20 Real estimate of pole used Radius of convergence = 1.01 Order of pole = 5.626 x[1] = -0.9987 y[1] (analytic) = -1.0039101620129196069069143241831 y[1] (numeric) = -1.0039101620129196069197256681314 absolute error = 1.28113439483e-20 relative error = 1.2761444632268925226584900000001e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.01 Order of pole = 5.626 x[1] = -0.9986 y[1] (analytic) = -1.004211787497737154247161857745 y[1] (numeric) = -1.0042117874977371542609649176702 absolute error = 1.38030599252e-20 relative error = 1.3745168197630923741251200000000e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.01 Order of pole = 5.626 x[1] = -0.9985 y[1] (analytic) = -1.0045135338260972883037491689787 y[1] (numeric) = -1.0045135338260972883185448390522 absolute error = 1.47956700735e-20 relative error = 1.4729189379006859626937500000000e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.01 Order of pole = 5.626 x[1] = -0.9984 y[1] (analytic) = -1.004815401058524671690352163725 y[1] (numeric) = -1.004815401058524671706141339014 absolute error = 1.57891752890e-20 relative error = 1.5713508443806557536255999999999e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.01 Order of pole = 5.626 x[1] = -0.9983 y[1] (analytic) = -1.0051173892555803473022968493139 y[1] (numeric) = -1.0051173892555803473190804257827 absolute error = 1.67835764688e-20 relative error = 1.6698125659959393304785600000002e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.01 Order of pole = 5.626 x[1] = -0.9982 y[1] (analytic) = -1.0054194984778617638312340308354 y[1] (numeric) = -1.0054194984778617638490129053458 absolute error = 1.77788745104e-20 relative error = 1.7683041295017684943347200000002e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.009 Order of pole = 5.626 x[1] = -0.9981 y[1] (analytic) = -1.005721728786002801300266652148 y[1] (numeric) = -1.0057217287860028013190417224607 absolute error = 1.87750703127e-20 relative error = 1.8668255617150889266190699999999e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.009 Order of pole = 5.626 x[1] = -0.998 y[1] (analytic) = -1.0060240802406737966195482277442 y[1] (numeric) = -1.0060240802406737966393203925201 absolute error = 1.97721647759e-20 relative error = 1.9653768895044592592799999999998e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.009 Order of pole = 5.626 x[1] = -0.9979 y[1] (analytic) = -1.0063265529025815691623708300762 y[1] (numeric) = -1.0063265529025815691831409888768 absolute error = 2.07701588006e-20 relative error = 2.0639581397004711285643399999998e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.009 Order of pole = 5.626 x[1] = -0.9978 y[1] (analytic) = -1.0066291468324694463617611154506 y[1] (numeric) = -1.0066291468324694463835301687394 absolute error = 2.17690532888e-20 relative error = 2.1625693391950793956857600000000e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.009 Order of pole = 5.626 x[1] = -0.9977 y[1] (analytic) = -1.006931862091117289327602890133 y[1] (numeric) = -1.0069318620911172893503717392761 absolute error = 2.27688491431e-20 relative error = 2.2612105148619923472902300000000e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.009 Order of pole = 5.626 x[1] = -0.9976 y[1] (analytic) = -1.0072346987393415184843047368464 y[1] (numeric) = -1.0072346987393415185080742841139 absolute error = 2.37695472675e-20 relative error = 2.3598816936360560974080000000002e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.009 Order of pole = 5.626 x[1] = -0.9975 y[1] (analytic) = -1.0075376568379951392290312404211 y[1] (numeric) = -1.0075376568379951392538023889876 absolute error = 2.47711485665e-20 relative error = 2.4585829024237675523437499999998e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.009 Order of pole = 5.626 x[1] = -0.9974 y[1] (analytic) = -1.0078407364479677676105163699359 y[1] (numeric) = -1.0078407364479677676362900238823 absolute error = 2.57736539464e-20 relative error = 2.5573141682322371230073600000001e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.009 Order of pole = 5.626 x[1] = -0.9973 y[1] (analytic) = -1.0081439376301856560284775933093 y[1] (numeric) = -1.008143937630185656055254657623 absolute error = 2.67770643137e-20 relative error = 2.6560755180102613732442900000002e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.009 Order of pole = 5.626 x[1] = -0.9972 y[1] (analytic) = -1.0084472604456117189536493189175 y[1] (numeric) = -1.0084472604456117189814306994936 absolute error = 2.77813805761e-20 relative error = 2.7548669787475043465452799999998e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.008 Order of pole = 5.626 x[1] = -0.9971 y[1] (analytic) = -1.0087507049552455586684542774776 y[1] (numeric) = -1.0087507049552455586972408811204 absolute error = 2.87866036428e-20 relative error = 2.8536885775041071599750799999999e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.008 Order of pole = 5.626 x[1] = -0.997 y[1] (analytic) = -1.0090542712201234910283314761 y[1] (numeric) = -1.0090542712201234910581242105234 absolute error = 2.97927344234e-20 relative error = 2.9525403413015002368200000000000e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.008 Order of pole = 5.626 x[1] = -0.9969 y[1] (analytic) = -1.0093579593013185712437393751045 y[1] (numeric) = -1.0093579593013185712745391489333 absolute error = 3.07997738288e-20 relative error = 3.0514222972115582170219200000001e-18 % h = 0.0001 TOP MAIN SOLVE Loop memory used=7.6MB, alloc=4.1MB, time=0.46 Real estimate of pole used Radius of convergence = 1.008 Order of pole = 5.626 x[1] = -0.9968 y[1] (analytic) = -1.0096617692599406196828529569112 y[1] (numeric) = -1.009661769259940619714660679682 absolute error = 3.18077227708e-20 relative error = 3.1503344723168379222425600000001e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.008 Order of pole = 5.626 x[1] = -0.9967 y[1] (analytic) = -1.0099657011571362476949733750471 y[1] (numeric) = -1.0099657011571362477277899572093 absolute error = 3.28165821622e-20 relative error = 3.2492768937203945911018599999999e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.008 Order of pole = 5.626 x[1] = -0.9966 y[1] (analytic) = -1.0102697550540888834546688900638 y[1] (numeric) = -1.0102697550540888834884952429808 absolute error = 3.38263529170e-20 relative error = 3.3482495885654786510232000000002e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.008 Order of pole = 5.626 x[1] = -0.9965 y[1] (analytic) = -1.0105739310120187978266658179378 y[1] (numeric) = -1.0105739310120187978615028538877 absolute error = 3.48370359499e-20 relative error = 3.4472525839859292473037500000001e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.008 Order of pole = 5.626 x[1] = -0.9964 y[1] (analytic) = -1.0108782290921831302515082353155 y[1] (numeric) = -1.0108782290921831302873568674923 absolute error = 3.58486321768e-20 relative error = 3.5462859071555811143219200000003e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.008 Order of pole = 5.626 x[1] = -0.9963 y[1] (analytic) = -1.0111826493558759146520052047874 y[1] (numeric) = -1.0111826493558759146888663473019 absolute error = 3.68611425145e-20 relative error = 3.6453495852584668728031500000000e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.008 Order of pole = 5.626 x[1] = -0.9962 y[1] (analytic) = -1.0114871918644281053604843022057 y[1] (numeric) = -1.0114871918644281053983588700867 absolute error = 3.78745678810e-20 relative error = 3.7444436455183916153767999999999e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.007 Order of pole = 5.626 x[1] = -0.9961 y[1] (analytic) = -1.0117918566792076030668702469233 y[1] (numeric) = -1.0117918566792076031057591561186 absolute error = 3.88889091953e-20 relative error = 3.8435681151790366982999300000000e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.007 Order of pole = 5.626 x[1] = -0.996 y[1] (analytic) = -1.0120966438616192807876074547054 y[1] (numeric) = -1.0120966438616192808275116220827 absolute error = 3.99041673773e-20 relative error = 3.9427230214939798252800000000005e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.007 Order of pole = 5.626 x[1] = -0.9959 y[1] (analytic) = -1.0124015534731050098554453519673 y[1] (numeric) = -1.0124015534731050098963656953149 absolute error = 4.09203433476e-20 relative error = 4.0419083917068555608060399999998e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.007 Order of pole = 5.626 x[1] = -0.9958 y[1] (analytic) = -1.012706585575143685930105308909 y[1] (numeric) = -1.0127065855751436859720427469376 absolute error = 4.19374380286e-20 relative error = 4.1411242531599204849083199999998e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.007 Order of pole = 5.626 x[1] = -0.9957 y[1] (analytic) = -1.0130117402292512550298480680638 y[1] (numeric) = -1.0130117402292512550728035204069 absolute error = 4.29554523431e-20 relative error = 4.2403706331556332314148300000001e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.007 Order of pole = 5.626 x[1] = -0.9956 y[1] (analytic) = -1.0133170174969807395839605637318 y[1] (numeric) = -1.0133170174969807396279349509468 absolute error = 4.39743872150e-20 relative error = 4.3396475590257246677440000000001e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.007 Order of pole = 5.626 x[1] = -0.9955 y[1] (analytic) = -1.0136224174399222645061810467584 y[1] (numeric) = -1.0136224174399222645511752903278 absolute error = 4.49942435694e-20 relative error = 4.4389550581409495788425000000000e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.007 Order of pole = 5.626 x[1] = -0.9954 y[1] (analytic) = -1.0139279401197030832890814481198 y[1] (numeric) = -1.0139279401197030833350964704521 absolute error = 4.60150223323e-20 relative error = 4.5382931578813700667247199999998e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.007 Order of pole = 5.626 x[1] = -0.9953 y[1] (analytic) = -1.0142335855979876041194259338012 y[1] (numeric) = -1.014233585597987604166462658232 absolute error = 4.70367244308e-20 relative error = 4.6376618856559908537051599999996e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.007 Order of pole = 5.626 x[1] = -0.9952 y[1] (analytic) = -1.0145393539364774160145246225004 y[1] (numeric) = -1.0145393539364774160625839732935 absolute error = 4.80593507931e-20 relative error = 4.7370612689026456161484800000000e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.006 Order of pole = 5.626 x[1] = -0.9951 y[1] (analytic) = -1.0148452451969113149796014567565 y[1] (numeric) = -1.0148452451969113150286843591046 absolute error = 4.90829023481e-20 relative error = 4.8364913350484685291383100000001e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.006 Order of pole = 5.626 x[1] = -0.995 y[1] (analytic) = -1.0151512594410653301861952371894 y[1] (numeric) = -1.0151512594410653302363026172155 absolute error = 5.01073800261e-20 relative error = 4.9359521115787954237500000000003e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.006 Order of pole = 5.626 x[1] = -0.9949 y[1] (analytic) = -1.0154573967307527501716128486483 y[1] (numeric) = -1.0154573967307527502227456334065 absolute error = 5.11327847582e-20 relative error = 5.0354436259779191386011800000003e-18 % h = 0.0001 TOP MAIN SOLVE Loop memory used=11.4MB, alloc=4.3MB, time=0.72 Real estimate of pole used Radius of convergence = 1.006 Order of pole = 5.626 x[1] = -0.9948 y[1] (analytic) = -1.0157636571278241490594537261941 y[1] (numeric) = -1.0157636571278241491116128436705 absolute error = 5.21591174764e-20 relative error = 5.1349659057388655446348799999996e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.006 Order of pole = 5.626 x[1] = -0.9947 y[1] (analytic) = -1.0160700406941674128012246279937 y[1] (numeric) = -1.016070040694167412854411007108 absolute error = 5.31863791143e-20 relative error = 5.2345189784322028661358899999996e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.006 Order of pole = 5.626 x[1] = -0.9946 y[1] (analytic) = -1.0163765474917077654390638013777 y[1] (numeric) = -1.0163765474917077654932783719838 absolute error = 5.42145706061e-20 relative error = 5.3341028716074655709069600000001e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.006 Order of pole = 5.626 x[1] = -0.9945 y[1] (analytic) = -1.0166831775824077953895936475039 y[1] (numeric) = -1.0166831775824077954448373403908 absolute error = 5.52436928869e-20 relative error = 5.4337176128226232117012500000003e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.006 Order of pole = 5.626 x[1] = -0.9944 y[1] (analytic) = -1.016989931028267481748921009286 y[1] (numeric) = -1.016989931028267481805194756179 absolute error = 5.62737468930e-20 relative error = 5.5333632296734959078911999999998e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.006 Order of pole = 5.626 x[1] = -0.9943 y[1] (analytic) = -1.0172968078913242206188042264831 y[1] (numeric) = -1.0172968078913242206761089600452 absolute error = 5.73047335621e-20 relative error = 5.6330397498132865321014700000001e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.005 Order of pole = 5.626 x[1] = -0.9942 y[1] (analytic) = -1.0176038082336528514540061211035 y[1] (numeric) = -1.0176038082336528515123427749358 absolute error = 5.83366538323e-20 relative error = 5.7327472008541533188282400000000e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.005 Order of pole = 5.626 x[1] = -0.9941 y[1] (analytic) = -1.0179109321173656834308520955519 y[1] (numeric) = -1.0179109321173656834902216041951 absolute error = 5.93695086432e-20 relative error = 5.8324856104752653744227200000000e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.005 Order of pole = 5.626 x[1] = -0.994 y[1] (analytic) = -1.0182181796046125218370125452544 y[1] (numeric) = -1.0182181796046125218974158441896 absolute error = 6.04032989352e-20 relative error = 5.9322550063538831596800000000000e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.005 Order of pole = 5.626 x[1] = -0.9939 y[1] (analytic) = -1.0185255507575806944825288068129 y[1] (numeric) = -1.0185255507575806945439668324627 absolute error = 6.14380256498e-20 relative error = 6.0320554161947447156746199999997e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.005 Order of pole = 5.626 x[1] = -0.9938 y[1] (analytic) = -1.0188330456384950781321018820853 y[1] (numeric) = -1.0188330456384950781945755718151 absolute error = 6.24736897298e-20 relative error = 6.1318868677495834612225600000001e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.005 Order of pole = 5.626 x[1] = -0.9937 y[1] (analytic) = -1.0191406643096181249586631979532 y[1] (numeric) = -1.0191406643096181250221734900717 absolute error = 6.35102921185e-20 relative error = 6.2317493887384886440430499999999e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.005 Order of pole = 5.626 x[1] = -0.9936 y[1] (analytic) = -1.0194484068332498890182466809207 y[1] (numeric) = -1.0194484068332498890827945146815 absolute error = 6.45478337608e-20 relative error = 6.3316430069577833712844800000005e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.005 Order of pole = 5.626 x[1] = -0.9935 y[1] (analytic) = -1.0197562732717280527461814451014 y[1] (numeric) = -1.0197562732717280528117677607035 absolute error = 6.55863156021e-20 relative error = 6.4315677501719693948287499999999e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.005 Order of pole = 5.626 x[1] = -0.9934 y[1] (analytic) = -1.0200642636874279534746244115717 y[1] (numeric) = -1.0200642636874279535412501501611 absolute error = 6.66257385894e-20 relative error = 6.5315236462215401293857599999996e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.005 Order of pole = 5.626 x[1] = -0.9933 y[1] (analytic) = -1.0203723781427626099714521965267 y[1] (numeric) = -1.0203723781427626100391183001973 absolute error = 6.76661036706e-20 relative error = 6.6315107229541921421332200000004e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.004 Order of pole = 5.626 x[1] = -0.9932 y[1] (analytic) = -1.020680616700182749000531625141 y[1] (numeric) = -1.0206806167001827490692390369352 absolute error = 6.87074117942e-20 relative error = 6.7315290081953506150105600000000e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.004 Order of pole = 5.626 x[1] = -0.9931 y[1] (analytic) = -1.0209889794221768319033882475307 y[1] (numeric) = -1.020988979422176831973137911441 absolute error = 6.97496639103e-20 relative error = 6.8315785298460756640257299999997e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.004 Order of pole = 5.626 x[1] = -0.993 y[1] (analytic) = -1.0212974663712710812022922527324 y[1] (numeric) = -1.0212974663712710812730851137024 absolute error = 7.07928609700e-20 relative error = 6.9316593158241277290000000000005e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.004 Order of pole = 5.626 memory used=15.2MB, alloc=4.3MB, time=0.98 x[1] = -0.9929 y[1] (analytic) = -1.0216060776100295072247811961462 y[1] (numeric) = -1.0216060776100295072966182000713 absolute error = 7.18370039251e-20 relative error = 7.0317713940345051036533900000006e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.004 Order of pole = 5.626 x[1] = -0.9928 y[1] (analytic) = -1.0219148132010539347496389754494 y[1] (numeric) = -1.0219148132010539348225210691781 absolute error = 7.28820937287e-20 relative error = 7.1319147924281047374182400000007e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.004 Order of pole = 5.626 x[1] = -0.9927 y[1] (analytic) = -1.0222236732069840296743505095705 y[1] (numeric) = -1.0222236732069840297482786409052 absolute error = 7.39281313347e-20 relative error = 7.2320895389526681058010099999996e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.004 Order of pole = 5.626 x[1] = -0.9926 y[1] (analytic) = -1.0225326576904973257040515949096 y[1] (numeric) = -1.0225326576904973257790267126083 absolute error = 7.49751176987e-20 relative error = 7.3322956616407308097991199999999e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.004 Order of pole = 5.626 x[1] = -0.9925 y[1] (analytic) = -1.0228417667143092510619934326208 y[1] (numeric) = -1.0228417667143092511380164863974 absolute error = 7.60230537766e-20 relative error = 7.4325331884725489246874999999992e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.004 Order of pole = 5.626 x[1] = -0.9924 y[1] (analytic) = -1.0231510003411731552215413404092 y[1] (numeric) = -1.0231510003411731552986132809353 absolute error = 7.70719405261e-20 relative error = 7.5328021475227118222726400000000e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.004 Order of pole = 5.626 x[1] = -0.9923 y[1] (analytic) = -1.023460358633880335659727181972 y[1] (numeric) = -1.0234603586338803357378489608771 absolute error = 7.81217789051e-20 relative error = 7.6331025668035951254981699999994e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.003 Order of pole = 5.626 x[1] = -0.9922 y[1] (analytic) = -1.0237698416552600646323750668909 y[1] (numeric) = -1.0237698416552600647115476367643 absolute error = 7.91725698734e-20 relative error = 7.7334344744314354406283199999999e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.003 Order of pole = 5.626 x[1] = -0.9921 y[1] (analytic) = -1.0240794494681796159708198935044 y[1] (numeric) = -1.0240794494681796160510442078957 absolute error = 8.02243143913e-20 relative error = 7.8337978984893929926839300000005e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.003 Order of pole = 5.626 x[1] = -0.992 y[1] (analytic) = -1.0243891821355442919002383270116 y[1] (numeric) = -1.0243891821355442919815153404317 absolute error = 8.12770134201e-20 relative error = 7.9341928670763388108799999999993e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.003 Order of pole = 5.626 x[1] = -0.9919 y[1] (analytic) = -1.0246990397202974498796118248184 y[1] (numeric) = -1.0246990397202974499619424927413 absolute error = 8.23306679229e-20 relative error = 8.0346194083848302793101100000000e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.003 Order of pole = 5.626 x[1] = -0.9918 y[1] (analytic) = -1.0250090222854205294633413409148 y[1] (numeric) = -1.0250090222854205295467266197778 absolute error = 8.33852788630e-20 relative error = 8.1350775505448008225416000000000e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.003 Order of pole = 5.626 x[1] = -0.9917 y[1] (analytic) = -1.0253191298939330791845333608626 y[1] (numeric) = -1.0253191298939330792689742080679 absolute error = 8.44408472053e-20 relative error = 8.2355673217601248374128899999997e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.003 Order of pole = 5.626 x[1] = -0.9916 y[1] (analytic) = -1.0256293626088927834599769388015 y[1] (numeric) = -1.0256293626088927835454743127173 absolute error = 8.54973739158e-20 relative error = 8.3360887502596827153676800000005e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.003 Order of pole = 5.626 x[1] = -0.9915 y[1] (analytic) = -1.025939720493395489516831427719 y[1] (numeric) = -1.02593972049339548960338628768 absolute error = 8.65548599610e-20 relative error = 8.4366418642387673200874999999998e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.003 Order of pole = 5.626 x[1] = -0.9914 y[1] (analytic) = -1.026250203610575234341044614092 y[1] (numeric) = -1.0262502036105752344286579204013 absolute error = 8.76133063093e-20 relative error = 8.5372266919954809615879200000006e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.003 Order of pole = 5.626 x[1] = -0.9913 y[1] (analytic) = -1.026560812023604271647520987901 y[1] (numeric) = -1.0265608120236042717361937018303 absolute error = 8.86727139293e-20 relative error = 8.6378432617649055565162100000001e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.002 Order of pole = 5.626 x[1] = -0.9912 y[1] (analytic) = -1.0268715457956930988720598989161 y[1] (numeric) = -1.0268715457956930989617929827075 absolute error = 8.97330837914e-20 relative error = 8.7384916018749380555059199999998e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.002 Order of pole = 5.626 x[1] = -0.9911 y[1] (analytic) = -1.0271824049900904841850833700943 y[1] (numeric) = -1.0271824049900904842758777869612 absolute error = 9.07944168669e-20 relative error = 8.8391717406584587205373900000002e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.002 Order of pole = 5.626 x[1] = -0.991 y[1] (analytic) = -1.0274933896700834935271733588728 y[1] (numeric) = -1.0274933896700834936190300730005 absolute error = 9.18567141277e-20 relative error = 8.9398837064240532006699999999994e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.002 Order of pole = 5.626 memory used=19.0MB, alloc=4.3MB, time=1.23 x[1] = -0.9909 y[1] (analytic) = -1.0278044998989975176664382771198 y[1] (numeric) = -1.0278044998989975177593582536673 absolute error = 9.29199765475e-20 relative error = 9.0406275275727298548877499999995e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.002 Order of pole = 5.626 x[1] = -0.9908 y[1] (analytic) = -1.0281157357401962992777286005036 y[1] (numeric) = -1.0281157357401962993717128056043 absolute error = 9.39842051007e-20 relative error = 9.1414032324907148290118399999999e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.002 Order of pole = 5.626 x[1] = -0.9907 y[1] (analytic) = -1.028427097257081960043721418055 y[1] (numeric) = -1.0284270972570819601387708188177 absolute error = 9.50494007627e-20 relative error = 9.2422108495785718485916100000002e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.002 Order of pole = 5.626 x[1] = -0.9906 y[1] (analytic) = -1.028738584513095027777893792743 y[1] (numeric) = -1.028738584513095027874009357253 absolute error = 9.61155645100e-20 relative error = 9.3430504072608277826159999999992e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.002 Order of pole = 5.626 x[1] = -0.9905 y[1] (analytic) = -1.0290501975717144635694048239448 y[1] (numeric) = -1.0290501975717144636665875212654 absolute error = 9.71826973206e-20 relative error = 9.4439219340247337200575000000000e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.002 Order of pole = 5.626 x[1] = -0.9904 y[1] (analytic) = -1.0293619364964576889499063227803 y[1] (numeric) = -1.0293619364964576890481571229532 absolute error = 9.82508001729e-20 relative error = 9.5448254583132341621145599999997e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.002 Order of pole = 5.626 x[1] = -0.9903 y[1] (analytic) = -1.0296738013508806130823020313827 y[1] (numeric) = -1.0296738013508806131816219054297 absolute error = 9.93198740470e-20 relative error = 9.6457610086512140592368999999998e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 5.626 x[1] = -0.9902 y[1] (analytic) = -1.0299857921985776599714753373157 y[1] (numeric) = -1.0299857921985776600718652572395 absolute error = 1.003899199238e-19 relative error = 9.7467286135579212334830400000001e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 5.626 x[1] = -0.9901 y[1] (analytic) = -1.0302979091031817956970054544934 y[1] (numeric) = -1.0302979091031817957984663932787 absolute error = 1.014609387853e-19 relative error = 9.8477283015760189321195299999997e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 5.626 x[1] = -0.99 y[1] (analytic) = -1.0306101521283645556678920621376 y[1] (numeric) = -1.0306101521283645557704249937523 absolute error = 1.025329316147e-19 relative error = 9.9487601012811795299999999999995e-18 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 5.626 x[1] = -0.9899 y[1] (analytic) = -1.0309225213378360718993084135047 y[1] (numeric) = -1.030922521337836072002914312901 absolute error = 1.036058993963e-19 relative error = 1.0049824041272260578171370000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 5.626 x[1] = -0.9898 y[1] (analytic) = -1.0312350167953451003114029463335 y[1] (numeric) = -1.0312350167953451004160827894486 absolute error = 1.046798431151e-19 relative error = 1.0150920150132407252295920000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 5.626 x[1] = -0.9897 y[1] (analytic) = -1.0315476385646790480501694472062 y[1] (numeric) = -1.031547638564679048155924210964 absolute error = 1.057547637578e-19 relative error = 1.0252048456525943823647940000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 5.626 x[1] = -0.9896 y[1] (analytic) = -1.0318603867096640008304058422853 y[1] (numeric) = -1.031860386709664000937236504597 absolute error = 1.068306623117e-19 relative error = 1.0353208989091572982789119999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 5.626 x[1] = -0.9895 y[1] (analytic) = -1.0321732612941647503007817071687 y[1] (numeric) = -1.0321732612941647504086892469343 absolute error = 1.079075397656e-19 relative error = 1.0454401776529535104729999999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 5.626 x[1] = -0.9894 y[1] (analytic) = -1.0324862623820848214310346089229 y[1] (numeric) = -1.0324862623820848215400200060322 absolute error = 1.089853971093e-19 relative error = 1.0555626847553013931395120000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 5.626 x[1] = -0.9893 y[1] (analytic) = -1.0327993900373664999213154136821 y[1] (numeric) = -1.0327993900373665000313796490154 absolute error = 1.100642353333e-19 relative error = 1.0656884230858995313916810000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1 Order of pole = 5.626 x[1] = -0.9892 y[1] (analytic) = -1.0331126443239908596337027135566 y[1] (numeric) = -1.0331126443239908597448467689864 absolute error = 1.111440554298e-19 relative error = 1.0758173955225012203178240000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1 Order of pole = 5.626 x[1] = -0.9891 y[1] (analytic) = -1.0334260253059777900459065469759 y[1] (numeric) = -1.0334260253059777901581314053674 absolute error = 1.122248583915e-19 relative error = 1.0859496049392829445914650000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1 Order of pole = 5.626 x[1] = -0.989 y[1] (analytic) = -1.0337395330473860237271816069859 y[1] (numeric) = -1.0337395330473860238404882521987 absolute error = 1.133066452128e-19 relative error = 1.0960850542184506816320000000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop memory used=22.8MB, alloc=4.3MB, time=1.50 Real estimate of pole used Radius of convergence = 1 Order of pole = 5.626 x[1] = -0.9889 y[1] (analytic) = -1.0340531676123131638364701524496 y[1] (numeric) = -1.0340531676123131639508595693384 absolute error = 1.143894168888e-19 relative error = 1.1062237462405495809756720000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1 Order of pole = 5.626 x[1] = -0.9888 y[1] (analytic) = -1.0343669290648957116427948575411 y[1] (numeric) = -1.0343669290648957117582680319569 absolute error = 1.154731744158e-19 relative error = 1.1163656838892928821493760000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9999 Order of pole = 5.626 x[1] = -0.9887 y[1] (analytic) = -1.034680817469309094067921855395 y[1] (numeric) = -1.0346808174693090941844797741863 absolute error = 1.165579187913e-19 relative error = 1.1265108700515496308060390000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9998 Order of pole = 5.626 x[1] = -0.9886 y[1] (analytic) = -1.0349948328897676912513142522639 y[1] (numeric) = -1.0349948328897676913689579032777 absolute error = 1.176436510138e-19 relative error = 1.1366593076154000275469280000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9997 Order of pole = 5.626 x[1] = -0.9885 y[1] (analytic) = -1.0353089753905248641373964090497 y[1] (numeric) = -1.0353089753905248642561267811328 absolute error = 1.187303720831e-19 relative error = 1.1468109994730237804028750000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9996 Order of pole = 5.626 x[1] = -0.9884 y[1] (analytic) = -1.0356232450358729820851493076137 y[1] (numeric) = -1.0356232450358729822049673906135 absolute error = 1.198180829998e-19 relative error = 1.1569659485158583720817920000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9995 Order of pole = 5.626 x[1] = -0.9883 y[1] (analytic) = -1.0359376418901434505000573398285 y[1] (numeric) = -1.0359376418901434506209641245945 absolute error = 1.209067847660e-19 relative error = 1.1671241576413498379244200000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9994 Order of pole = 5.626 x[1] = -0.9882 y[1] (analytic) = -1.03625216601770673848842687792 y[1] (numeric) = -1.0362521660177067386104233563043 absolute error = 1.219964783843e-19 relative error = 1.1772856297432859708280239999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9993 Order of pole = 5.626 x[1] = -0.9881 y[1] (analytic) = -1.036566817482972406534097005249 y[1] (numeric) = -1.0365668174829724066571841701084 absolute error = 1.230871648594e-19 relative error = 1.1874503677272299160035540000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9992 Order of pole = 5.626 x[1] = -0.988 y[1] (analytic) = -1.0368815963503891341975628073193 y[1] (numeric) = -1.0368815963503891343217416525153 absolute error = 1.241788451960e-19 relative error = 1.1976183744902417331200000000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9991 Order of pole = 5.626 x[1] = -0.9879 y[1] (analytic) = -1.0371965026844447478375316434385 y[1] (numeric) = -1.0371965026844447479628031638393 absolute error = 1.252715204008e-19 relative error = 1.2077896529401665062235120000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.999 Order of pole = 5.626 x[1] = -0.9878 y[1] (analytic) = -1.0375115365496662483549328401456 y[1] (numeric) = -1.0375115365496662484812980316268 absolute error = 1.263651914812e-19 relative error = 1.2179642059830804466994240000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9989 Order of pole = 5.626 x[1] = -0.9877 y[1] (analytic) = -1.0378266980106198389594012682075 y[1] (numeric) = -1.0378266980106198390868611276531 absolute error = 1.274598594456e-19 relative error = 1.2281420365261766751666479999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9988 Order of pole = 5.626 x[1] = -0.9876 y[1] (analytic) = -1.0381419871319109529582552857108 y[1] (numeric) = -1.0381419871319109530868108110149 absolute error = 1.285555253041e-19 relative error = 1.2383231474844987784364160000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9987 Order of pole = 5.626 x[1] = -0.9875 y[1] (analytic) = -1.0384574039781842815679895505224 y[1] (numeric) = -1.0384574039781842816976417405897 absolute error = 1.296521900673e-19 relative error = 1.2485075417693657167968750000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9986 Order of pole = 5.626 x[1] = -0.9874 y[1] (analytic) = -1.0387729486141238017483032261518 y[1] (numeric) = -1.0387729486141238018790530808991 absolute error = 1.307498547473e-19 relative error = 1.2586952222979966405901520000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9985 Order of pole = 5.626 x[1] = -0.9873 y[1] (analytic) = -1.0390886211044528040586841258463 y[1] (numeric) = -1.0390886211044528041905326462034 absolute error = 1.318485203571e-19 relative error = 1.2688861919877200533943070000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9984 Order of pole = 5.626 x[1] = -0.9872 y[1] (analytic) = -1.0394044215139339205375693605579 y[1] (numeric) = -1.0394044215139339206705175484689 absolute error = 1.329481879110e-19 relative error = 1.2790804537598144079052800000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9983 Order of pole = 5.626 x[1] = -0.9871 y[1] (analytic) = -1.0397203499073691526041030772602 y[1] (numeric) = -1.0397203499073691527381519356844 absolute error = 1.340488584242e-19 relative error = 1.2892780105356473157852619999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9982 Order of pole = 5.626 x[1] = -0.987 y[1] (analytic) = -1.040036406349599898982511894951 y[1] (numeric) = -1.0400364063495998991176624278645 absolute error = 1.351505329135e-19 relative error = 1.2994788652433983354050000000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop memory used=26.7MB, alloc=4.4MB, time=1.77 Real estimate of pole used Radius of convergence = 0.9981 Order of pole = 5.626 x[1] = -0.9869 y[1] (analytic) = -1.0403525909055069836491186665637 y[1] (numeric) = -1.04035259090550698378537187896 absolute error = 1.362532123963e-19 relative error = 1.3096830208084288791853670000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.998 Order of pole = 5.626 x[1] = -0.9868 y[1] (analytic) = -1.0406689036400106838020152159097 y[1] (numeric) = -1.0406689036400106839393721138012 absolute error = 1.373568978915e-19 relative error = 1.3198904801619271516252800000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9979 Order of pole = 5.626 x[1] = -0.9867 y[1] (analytic) = -1.0409853446180707578534147197113 y[1] (numeric) = -1.0409853446180707579918763101302 absolute error = 1.384615904189e-19 relative error = 1.3301012462351278931336069999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9978 Order of pole = 5.626 x[1] = -0.9866 y[1] (analytic) = -1.0413019139046864734447044257314 y[1] (numeric) = -1.0413019139046864735842717167312 absolute error = 1.395672909998e-19 relative error = 1.3403153219650666848122080000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9977 Order of pole = 5.626 x[1] = -0.9865 y[1] (analytic) = -1.041618611564896635484219418988 y[1] (numeric) = -1.041618611564896635624893419644 absolute error = 1.406740006560e-19 relative error = 1.3505327102849630399400000000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9976 Order of pole = 5.626 x[1] = -0.9864 y[1] (analytic) = -1.0419354376637796142077581690343 y[1] (numeric) = -1.0419354376637796143495398894453 absolute error = 1.417817204110e-19 relative error = 1.3607534141357355750758400000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9975 Order of pole = 5.626 x[1] = -0.9863 y[1] (analytic) = -1.0422523922664533732618606123163 y[1] (numeric) = -1.0422523922664533734047510636055 absolute error = 1.428904512892e-19 relative error = 1.3709774364583069600571240000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9974 Order of pole = 5.626 x[1] = -0.9862 y[1] (analytic) = -1.0425694754380754978098695446601 y[1] (numeric) = -1.0425694754380754979538697389764 absolute error = 1.440001943163e-19 relative error = 1.3812047801974329128882640000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9973 Order of pole = 5.626 x[1] = -0.9861 y[1] (analytic) = -1.0428866872438432226607961200141 y[1] (numeric) = -1.0428866872438432228059070705331 absolute error = 1.451109505190e-19 relative error = 1.3914354482988120608373900000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9972 Order of pole = 5.626 x[1] = -0.986 y[1] (analytic) = -1.0432040277489934604210102726637 y[1] (numeric) = -1.0432040277489934605672329935889 absolute error = 1.462227209252e-19 relative error = 1.4016694437109939885120000000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9971 Order of pole = 5.626 x[1] = -0.9859 y[1] (analytic) = -1.0435214970188028296687769012543 y[1] (numeric) = -1.0435214970188028298161124078182 absolute error = 1.473355065639e-19 relative error = 1.4119067693844089131467810000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.997 Order of pole = 5.626 x[1] = -0.9858 y[1] (analytic) = -1.0438390951185876831516586740979 y[1] (numeric) = -1.0438390951185876833001079825633 absolute error = 1.484493084654e-19 relative error = 1.4221474282732731248976480000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9969 Order of pole = 5.626 x[1] = -0.9857 y[1] (analytic) = -1.0441568221137041360068063364036 y[1] (numeric) = -1.0441568221137041361563704640646 absolute error = 1.495641276610e-19 relative error = 1.4323914233327023848017300000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9968 Order of pole = 5.626 x[1] = -0.9856 y[1] (analytic) = -1.0444746780695480940041574212598 y[1] (numeric) = -1.0444746780695480941548373864428 absolute error = 1.506799651830e-19 relative error = 1.4426387575187028364492800000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9967 Order of pole = 5.626 x[1] = -0.9855 y[1] (analytic) = -1.0447926630515552818125642874067 y[1] (numeric) = -1.044792663051555281964361109472 absolute error = 1.517968220653e-19 relative error = 1.4528894337939046914978750000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9966 Order of pole = 5.626 x[1] = -0.9854 y[1] (analytic) = -1.0451107771252012712888724280756 y[1] (numeric) = -1.0451107771252012714417871274183 absolute error = 1.529146993427e-19 relative error = 1.4631434551208465620299280000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9965 Order of pole = 5.626 x[1] = -0.9853 y[1] (analytic) = -1.0454290203560015097899700164268 y[1] (numeric) = -1.0454290203560015099440036144777 absolute error = 1.540335980509e-19 relative error = 1.4734008244619678550397930000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9964 Order of pole = 5.626 x[1] = -0.9852 y[1] (analytic) = -1.045747392809511348507829674402 y[1] (numeric) = -1.0457473928095113486629831936292 absolute error = 1.551535192272e-19 relative error = 1.4836615447862949508085760000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9963 Order of pole = 5.626 x[1] = -0.9851 y[1] (analytic) = -1.0460658945513260708275634731161 y[1] (numeric) = -1.0460658945513260709838379370259 absolute error = 1.562744639098e-19 relative error = 1.4939256190627316813499979999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9962 Order of pole = 5.626 x[1] = -0.985 y[1] (analytic) = -1.0463845256470809207085121942383 y[1] (numeric) = -1.0463845256470809208659086273766 absolute error = 1.573964331383e-19 relative error = 1.5041930502648301073750000000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop memory used=30.5MB, alloc=4.4MB, time=2.03 Real estimate of pole used Radius of convergence = 0.9961 Order of pole = 5.626 x[1] = -0.9849 y[1] (analytic) = -1.0467032861624511310883899031713 y[1] (numeric) = -1.0467032861624511312469093311244 absolute error = 1.585194279531e-19 relative error = 1.5144638413650433843940190000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.996 Order of pole = 5.626 x[1] = -0.9848 y[1] (analytic) = -1.0470221761631519523105049062123 y[1] (numeric) = -1.0470221761631519524701483556083 absolute error = 1.596434493960e-19 relative error = 1.5247379953404501905203200000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9959 Order of pole = 5.626 x[1] = -0.9847 y[1] (analytic) = -1.0473411957149386805740781852825 y[1] (numeric) = -1.0473411957149386807348466837925 absolute error = 1.607684985100e-19 relative error = 1.5350155151708302974973000000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9958 Order of pole = 5.626 x[1] = -0.9846 y[1] (analytic) = -1.0476603448836066864076804252376 y[1] (numeric) = -1.0476603448836066865695750015766 absolute error = 1.618945763390e-19 relative error = 1.5452964038357891353850400000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9957 Order of pole = 5.626 x[1] = -0.9845 y[1] (analytic) = -1.0479796237349914431658087702203 y[1] (numeric) = -1.0479796237349914433288304541487 absolute error = 1.630216839284e-19 relative error = 1.5555806643204755542944999999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9956 Order of pole = 5.626 x[1] = -0.9844 y[1] (analytic) = -1.0482990323349685555486244669911 y[1] (numeric) = -1.0482990323349685557127742893157 absolute error = 1.641498223246e-19 relative error = 1.5658682996107959369936639999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9955 Order of pole = 5.626 x[1] = -0.9843 y[1] (analytic) = -1.0486185707494537881448725746695 y[1] (numeric) = -1.0486185707494537883101515672448 absolute error = 1.652789925753e-19 relative error = 1.5761593126962661288555710000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9954 Order of pole = 5.626 x[1] = -0.9842 y[1] (analytic) = -1.0489382390444030939980049418411 y[1] (numeric) = -1.0489382390444030941644141375701 absolute error = 1.664091957290e-19 relative error = 1.5864537065652313843655200000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9953 Order of pole = 5.626 x[1] = -0.9841 y[1] (analytic) = -1.0492580372858126431955276735294 y[1] (numeric) = -1.0492580372858126433630681063652 absolute error = 1.675404328358e-19 relative error = 1.5967514842124847481829180000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9952 Order of pole = 5.626 x[1] = -0.984 y[1] (analytic) = -1.0495779655397188514815943321043 y[1] (numeric) = -1.0495779655397188516502670370511 absolute error = 1.686727049468e-19 relative error = 1.6070526486335328030720000000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9951 Order of pole = 5.626 x[1] = -0.9839 y[1] (analytic) = -1.0498980238721984088928661377898 y[1] (numeric) = -1.049898023872198409062672150904 absolute error = 1.698060131142e-19 relative error = 1.6173572028255392010430980000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.995 Order of pole = 5.626 x[1] = -0.9838 y[1] (analytic) = -1.0502182123493683084176604560531 y[1] (numeric) = -1.0502182123493683085886008144446 absolute error = 1.709403583915e-19 relative error = 1.6276651497892186428278799999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9949 Order of pole = 5.626 x[1] = -0.9837 y[1] (analytic) = -1.0505385310373858746784088807997 y[1] (numeric) = -1.0505385310373858748504846226332 absolute error = 1.720757418335e-19 relative error = 1.6379764925288235964037550000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9948 Order of pole = 5.626 x[1] = -0.9836 y[1] (analytic) = -1.0508589800024487926374462439655 y[1] (numeric) = -1.0508589800024487928106584084612 absolute error = 1.732121644957e-19 relative error = 1.6482912340464214109505919999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9947 Order of pole = 5.626 x[1] = -0.9835 y[1] (analytic) = -1.0511795593107951363261519037851 y[1] (numeric) = -1.0511795593107951365005015312205 absolute error = 1.743496274354e-19 relative error = 1.6586093773523541970377499999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9946 Order of pole = 5.626 x[1] = -0.9834 y[1] (analytic) = -1.0515002690287033975974646857355 y[1] (numeric) = -1.0515002690287033977729528174462 absolute error = 1.754881317107e-19 relative error = 1.6689309254557080974783280000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9945 Order of pole = 5.626 x[1] = -0.9833 y[1] (analytic) = -1.0518211092224925149017928718884 y[1] (numeric) = -1.0518211092224925150784205502692 absolute error = 1.766276783808e-19 relative error = 1.6792558813671594946008960000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9944 Order of pole = 5.626 x[1] = -0.9832 y[1] (analytic) = -1.0521420799585219020863406561703 y[1] (numeric) = -1.0521420799585219022641089246766 absolute error = 1.777682685063e-19 relative error = 1.6895842481018160027171839999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9943 Order of pole = 5.626 x[1] = -0.9831 y[1] (analytic) = -1.0524631813031914772178725048179 y[1] (numeric) = -1.0524631813031914773967824079671 absolute error = 1.789099031492e-19 relative error = 1.6999160286792017934909720000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9942 Order of pole = 5.626 x[1] = -0.983 y[1] (analytic) = -1.0527844133229416914289368831288 y[1] (numeric) = -1.0527844133229416916089894665009 absolute error = 1.800525833721e-19 relative error = 1.7102512261156440357270000000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop memory used=34.3MB, alloc=4.4MB, time=2.29 Real estimate of pole used Radius of convergence = 0.9941 Order of pole = 5.626 x[1] = -0.9829 y[1] (analytic) = -1.0531057760842535577875708314397 y[1] (numeric) = -1.053105776084253557968767141679 absolute error = 1.811963102393e-19 relative error = 1.7205898434347151317850770000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.994 Order of pole = 5.626 x[1] = -0.9828 y[1] (analytic) = -1.0534272696536486801905068951337 y[1] (numeric) = -1.0534272696536486803728479799498 absolute error = 1.823410848161e-19 relative error = 1.7309318836605687475758720000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9939 Order of pole = 5.626 x[1] = -0.9827 y[1] (analytic) = -1.0537488940976892822799039353559 y[1] (numeric) = -1.0537488940976892824633908435247 absolute error = 1.834869081688e-19 relative error = 1.7412773498179309742137040000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9938 Order of pole = 5.626 x[1] = -0.9826 y[1] (analytic) = -1.0540706494829782363836233690308 y[1] (numeric) = -1.0540706494829782365682571503962 absolute error = 1.846337813654e-19 relative error = 1.7516262449387324183203040000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9937 Order of pole = 5.626 x[1] = -0.9825 y[1] (analytic) = -1.0543925358761590924790724087105 y[1] (numeric) = -1.054392535876159092664854114185 absolute error = 1.857817054745e-19 relative error = 1.7619785720516566947656250000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9936 Order of pole = 5.626 x[1] = -0.9824 y[1] (analytic) = -1.0547145533439161071806358947363 y[1] (numeric) = -1.0547145533439161073675665763027 absolute error = 1.869306815664e-19 relative error = 1.7723343341925667685007359999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9935 Order of pole = 5.626 x[1] = -0.9823 y[1] (analytic) = -1.0550367019529742727507183341887 y[1] (numeric) = -1.0550367019529742729387990449011 absolute error = 1.880807107124e-19 relative error = 1.7826935343978511753401080000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9934 Order of pole = 5.626 x[1] = -0.9822 y[1] (analytic) = -1.0553589817700993461344177831014 y[1] (numeric) = -1.0553589817700993463236495770862 absolute error = 1.892317939848e-19 relative error = 1.7930561757044152273223040000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9933 Order of pole = 5.626 x[1] = -0.9821 y[1] (analytic) = -1.0556813928620978780178532304509 y[1] (numeric) = -1.0556813928620978782082371629083 absolute error = 1.903839324574e-19 relative error = 1.8034222611544085030994139999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9932 Order of pole = 5.626 x[1] = -0.982 y[1] (analytic) = -1.0560039352958172419101671644937 y[1] (numeric) = -1.0560039352958172421017042916988 absolute error = 1.915371272051e-19 relative error = 1.8137917937914209705680000000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9931 Order of pole = 5.626 x[1] = -0.9819 y[1] (analytic) = -1.0563266091381456632492250241011 y[1] (numeric) = -1.0563266091381456634419164034051 absolute error = 1.926913793040e-19 relative error = 1.8241647766614194483973600000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.993 Order of pole = 5.626 x[1] = -0.9818 y[1] (analytic) = -1.056649414456012248531033259851 y[1] (numeric) = -1.0566494144560122487248799496824 absolute error = 1.938466898314e-19 relative error = 1.8345412128127359530456480000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9929 Order of pole = 5.626 x[1] = -0.9817 y[1] (analytic) = -1.0569723513163870144628977517687 y[1] (numeric) = -1.0569723513163870146579008116344 absolute error = 1.950030598657e-19 relative error = 1.8449211052951099565480410000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9928 Order of pole = 5.626 x[1] = -0.9816 y[1] (analytic) = -1.0572954197862809171403443527641 y[1] (numeric) = -1.0572954197862809173365048432509 absolute error = 1.961604904868e-19 relative error = 1.8553044571634614354145279999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9926 Order of pole = 5.626 x[1] = -0.9815 y[1] (analytic) = -1.0576186199327458812478233489951 y[1] (numeric) = -1.0576186199327458814451423317707 absolute error = 1.973189827756e-19 relative error = 1.8656912714731473074165000000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9925 Order of pole = 5.626 x[1] = -0.9814 y[1] (analytic) = -1.0579419518228748292832196505938 y[1] (numeric) = -1.0579419518228748294816981884079 absolute error = 1.984785378141e-19 relative error = 1.8760815512808979381973040000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9924 Order of pole = 5.626 x[1] = -0.9813 y[1] (analytic) = -1.0582654155238017108061905484215 y[1] (numeric) = -1.0582654155238017110058297051071 absolute error = 1.996391566856e-19 relative error = 1.8864752996466968644642319999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9923 Order of pole = 5.626 x[1] = -0.9812 y[1] (analytic) = -1.0585890111027015317103528947781 y[1] (numeric) = -1.0585890111027015319111537352531 absolute error = 2.008008404750e-19 relative error = 1.8968725196366017130080000000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9922 Order of pole = 5.626 x[1] = -0.9811 y[1] (analytic) = -1.0589127386267903835193415882705 y[1] (numeric) = -1.0589127386267903837213051785383 absolute error = 2.019635902678e-19 relative error = 1.9072732143132831881416179999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9921 Order of pole = 5.626 x[1] = -0.981 y[1] (analytic) = -1.0592365981633254727067612653502 y[1] (numeric) = -1.0592365981633254729098886725013 absolute error = 2.031274071511e-19 relative error = 1.9176773867454629190509999999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop memory used=38.1MB, alloc=4.4MB, time=2.55 Real estimate of pole used Radius of convergence = 0.992 Order of pole = 5.626 x[1] = -0.9809 y[1] (analytic) = -1.059560589779605150040053123364 y[1] (numeric) = -1.0595605897796051502443454155772 absolute error = 2.042922922132e-19 relative error = 1.9280850400041209659390279999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9919 Order of pole = 5.626 x[1] = -0.9808 y[1] (analytic) = -1.0598847135429689399482988223167 y[1] (numeric) = -1.0598847135429689401537570688602 absolute error = 2.054582465435e-19 relative error = 1.9384961771615407623987200000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9918 Order of pole = 5.626 x[1] = -0.9807 y[1] (analytic) = -1.0602089695207975699139834349252 y[1] (numeric) = -1.0602089695207975701206087061577 absolute error = 2.066252712325e-19 relative error = 1.9489108012912990087224749999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9917 Order of pole = 5.626 x[1] = -0.9806 y[1] (analytic) = -1.060533357780512999888739436951 y[1] (numeric) = -1.0605333577805130000965328043233 absolute error = 2.077933673723e-19 relative error = 1.9593289154729701825073680000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9916 Order of pole = 5.626 x[1] = -0.9805 y[1] (analytic) = -1.0608578783895784517330937522312 y[1] (numeric) = -1.0608578783895784519420562882871 absolute error = 2.089625360559e-19 relative error = 1.9697505227855108043348750000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9915 Order of pole = 5.626 x[1] = -0.9804 y[1] (analytic) = -1.0611825314154984386802398892808 y[1] (numeric) = -1.0611825314154984388903726676585 absolute error = 2.101327783777e-19 relative error = 1.9801756263119639678225280000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9914 Order of pole = 5.626 x[1] = -0.9803 y[1] (analytic) = -1.0615073169258187948238572288256 y[1] (numeric) = -1.0615073169258187950351613242588 absolute error = 2.113040954332e-19 relative error = 1.9906042291366187735341640000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9913 Order of pole = 5.626 x[1] = -0.9802 y[1] (analytic) = -1.0618322349881267046299995441289 y[1] (numeric) = -1.0618322349881267048424760324481 absolute error = 2.124764883192e-19 relative error = 2.0010363343468838045247359999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9912 Order of pole = 5.626 x[1] = -0.9801 y[1] (analytic) = -1.0621572856700507324730748585102 y[1] (numeric) = -1.0621572856700507326867248166441 absolute error = 2.136499581339e-19 relative error = 2.0114719450342156716279389999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9911 Order of pole = 5.626 x[1] = -0.98 y[1] (analytic) = -1.0624824690392608521959387670103 y[1] (numeric) = -1.0624824690392608524107632729868 absolute error = 2.148245059765e-19 relative error = 2.0219110642903398800000000000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.991 Order of pole = 5.626 x[1] = -0.9799 y[1] (analytic) = -1.0628077851634684766941233717407 y[1] (numeric) = -1.062807785163468476910123504688 absolute error = 2.160001329473e-19 relative error = 2.0323536952081831404167269999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9909 Order of pole = 5.626 x[1] = -0.9798 y[1] (analytic) = -1.0631332341104264875242240030632 y[1] (numeric) = -1.0631332341104264877414008432114 absolute error = 2.171768401482e-19 relative error = 2.0427998408865664233913439999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9908 Order of pole = 5.626 x[1] = -0.9797 y[1] (analytic) = -1.0634588159479292645364659213821 y[1] (numeric) = -1.0634588159479292647548205500643 absolute error = 2.183546286822e-19 relative error = 2.0532495044254861034370059999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9907 Order of pole = 5.626 x[1] = -0.9796 y[1] (analytic) = -1.0637845307438127155314732169866 y[1] (numeric) = -1.0637845307438127157510067166402 absolute error = 2.195334996536e-19 relative error = 2.0637026889279840334760960000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9906 Order of pole = 5.626 x[1] = -0.9795 y[1] (analytic) = -1.0641103785659543059412621480691 y[1] (numeric) = -1.0641103785659543061619756022366 absolute error = 2.207134541675e-19 relative error = 2.0741593974954359084156250000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9905 Order of pole = 5.626 x[1] = -0.9794 y[1] (analytic) = -1.0644363594822730885344811797526 y[1] (numeric) = -1.0644363594822730887563756730834 absolute error = 2.218944933308e-19 relative error = 2.0846196332369402378326719999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9904 Order of pole = 5.626 x[1] = -0.9793 y[1] (analytic) = -1.0647624735607297331459200096995 y[1] (numeric) = -1.0647624735607297333689966279511 absolute error = 2.230766182516e-19 relative error = 2.0950833992636632345066119999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9903 Order of pole = 5.626 x[1] = -0.9792 y[1] (analytic) = -1.0650887208693265564303098886328 y[1] (numeric) = -1.0650887208693265566545697186718 absolute error = 2.242598300390e-19 relative error = 2.1055506986869496296243200000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9902 Order of pole = 5.626 x[1] = -0.9791 y[1] (analytic) = -1.0654151014761075516404375668873 y[1] (numeric) = -1.0654151014761075518658816966905 absolute error = 2.254441298032e-19 relative error = 2.1160215346192527525794720000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9901 Order of pole = 5.626 memory used=41.9MB, alloc=4.4MB, time=2.81 x[1] = -0.979 y[1] (analytic) = -1.0657416154491584184295952209222 y[1] (numeric) = -1.0657416154491584186562247395782 absolute error = 2.266295186560e-19 relative error = 2.1264959101788161478399999999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.99 Order of pole = 5.626 x[1] = -0.9789 y[1] (analytic) = -1.0660682628566065926783887365653 y[1] (numeric) = -1.0660682628566065929062047342759 absolute error = 2.278159977106e-19 relative error = 2.1369738284877803914363140000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9899 Order of pole = 5.626 x[1] = -0.9788 y[1] (analytic) = -1.066395043766621276345926748621 y[1] (numeric) = -1.0663950437666212765749303167017 absolute error = 2.290035680807e-19 relative error = 2.1474552926637291980007039999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9898 Order of pole = 5.626 x[1] = -0.9787 y[1] (analytic) = -1.0667219582474134673454128593625 y[1] (numeric) = -1.0667219582474134675756050902446 absolute error = 2.301922308821e-19 relative error = 2.1579403058346873427808629999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9897 Order of pole = 5.626 x[1] = -0.9786 y[1] (analytic) = -1.0670490063672359894441634813499 y[1] (numeric) = -1.0670490063672359896755454685812 absolute error = 2.313819872313e-19 relative error = 2.1684288711259760809643279999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9896 Order of pole = 5.626 x[1] = -0.9785 y[1] (analytic) = -1.0673761881943835221880737729482 y[1] (numeric) = -1.0673761881943835224206466111947 absolute error = 2.325728382465e-19 relative error = 2.1789209916695777581556250000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9895 Order of pole = 5.626 x[1] = -0.9784 y[1] (analytic) = -1.067703503797192630850554157894 y[1] (numeric) = -1.0677035037971926310843189429406 absolute error = 2.337647850466e-19 relative error = 2.1894166705947514010736640000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9894 Order of pole = 5.626 x[1] = -0.9783 y[1] (analytic) = -1.0680309532440417964059599432461 y[1] (numeric) = -1.0680309532440417966409177719981 absolute error = 2.349578287520e-19 relative error = 2.1999159110355189950462399999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9893 Order of pole = 5.626 x[1] = -0.9782 y[1] (analytic) = -1.0683585366033514455275365730776 y[1] (numeric) = -1.0683585366033514457636885435623 absolute error = 2.361519704847e-19 relative error = 2.2104187161315858783954960000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9892 Order of pole = 5.626 x[1] = -0.9781 y[1] (analytic) = -1.0686862539435839806099030783108 y[1] (numeric) = -1.0686862539435839808472502896784 absolute error = 2.373472113676e-19 relative error = 2.2209250890217735998747160000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9891 Order of pole = 5.626 x[1] = -0.978 y[1] (analytic) = -1.0690141053332438098160963061637 y[1] (numeric) = -1.0690141053332438100546398586885 absolute error = 2.385435525248e-19 relative error = 2.2314350328468192552960000000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.989 Order of pole = 5.626 x[1] = -0.9779 y[1] (analytic) = -1.0693420908408773771491985357767 y[1] (numeric) = -1.0693420908408773773889395308586 absolute error = 2.397409950819e-19 relative error = 2.2419485507521696662478409999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9889 Order of pole = 5.626 x[1] = -0.9778 y[1] (analytic) = -1.0696702105350731925485711097082 y[1] (numeric) = -1.069670210535073192789510649874 absolute error = 2.409395401658e-19 relative error = 2.2524656458860960667024160000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9888 Order of pole = 5.626 x[1] = -0.9777 y[1] (analytic) = -1.0699984644844618620107167341376 y[1] (numeric) = -1.0699984644844618622528559230419 absolute error = 2.421391889043e-19 relative error = 2.2629863213959430814956190000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9887 Order of pole = 5.626 x[1] = -0.9776 y[1] (analytic) = -1.0703268527577161177347931237845 y[1] (numeric) = -1.0703268527577161179781330662113 absolute error = 2.433399424268e-19 relative error = 2.2735105804346618310983679999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9886 Order of pole = 5.626 x[1] = -0.9775 y[1] (analytic) = -1.0706553754235508482928006907601 y[1] (numeric) = -1.0706553754235508485373424926242 absolute error = 2.445418018641e-19 relative error = 2.2840384261589249361093750000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9885 Order of pole = 5.626 x[1] = -0.9774 y[1] (analytic) = -1.0709840325507231288244669997868 y[1] (numeric) = -1.0709840325507231290702117681346 absolute error = 2.457447683478e-19 relative error = 2.2945698617235100909938720000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9884 Order of pole = 5.626 x[1] = -0.9773 y[1] (analytic) = -1.0713128242080322512568507354768 y[1] (numeric) = -1.071312824208032251503799578488 absolute error = 2.469488430112e-19 relative error = 2.3051048902896954776767040000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9883 Order of pole = 5.626 x[1] = -0.9772 y[1] (analytic) = -1.0716417504643197545486879506418 y[1] (numeric) = -1.0716417504643197547968419776302 absolute error = 2.481540269884e-19 relative error = 2.3156435150168430555128320000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9882 Order of pole = 5.626 x[1] = -0.9771 y[1] (analytic) = -1.0719708113884694549595033879058 y[1] (numeric) = -1.0719708113884694552088637093212 absolute error = 2.493603214154e-19 relative error = 2.3261857390726545573896940000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9881 Order of pole = 5.626 memory used=45.7MB, alloc=4.4MB, time=3.07 x[1] = -0.977 y[1] (analytic) = -1.0723000070494074763435096902299 y[1] (numeric) = -1.0723000070494074765940774176589 absolute error = 2.505677274290e-19 relative error = 2.3367315656228919435699999999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.988 Order of pole = 5.626 x[1] = -0.9769 y[1] (analytic) = -1.0726293375161022804683173393106 y[1] (numeric) = -1.0726293375161022807200935854782 absolute error = 2.517762461676e-19 relative error = 2.3472809978388302501886839999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9879 Order of pole = 5.626 x[1] = -0.9768 y[1] (analytic) = -1.0729588028575646973584781842 y[1] (numeric) = -1.0729588028575646976114640629707 absolute error = 2.529858787707e-19 relative error = 2.3578340388925806733962240000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9878 Order of pole = 5.626 x[1] = -0.9767 y[1] (analytic) = -1.0732884031428479556638854459054 y[1] (numeric) = -1.0732884031428479559180820722842 absolute error = 2.541966263788e-19 relative error = 2.3683906919561491166514439999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9877 Order of pole = 5.626 x[1] = -0.9766 y[1] (analytic) = -1.073618138441047713053053107161 y[1] (numeric) = -1.0736181384410477133084615972954 absolute error = 2.554084901344e-19 relative error = 2.3789509602107421917770240000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9876 Order of pole = 5.626 x[1] = -0.9765 y[1] (analytic) = -1.0739480088213020866312976200318 y[1] (numeric) = -1.0739480088213020868879190912125 absolute error = 2.566214711807e-19 relative error = 2.3895148468346397549798750000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9875 Order of pole = 5.626 x[1] = -0.9764 y[1] (analytic) = -1.0742780143527916833838448874923 y[1] (numeric) = -1.0742780143527916836416804581546 absolute error = 2.578355706623e-19 relative error = 2.4000823550097069246325120000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9874 Order of pole = 5.626 x[1] = -0.9763 y[1] (analytic) = -1.0746081551047396306438854986443 y[1] (numeric) = -1.0746081551047396309029362883696 absolute error = 2.590507897253e-19 relative error = 2.4106534879223106622195910000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9873 Order of pole = 5.626 x[1] = -0.9762 y[1] (analytic) = -1.0749384311464116065856012207784 y[1] (numeric) = -1.0749384311464116068458683502953 absolute error = 2.602671295169e-19 relative error = 2.4212282487595832195050320000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9872 Order of pole = 5.626 x[1] = -0.9761 y[1] (analytic) = -1.0752688425471158707421857750516 y[1] (numeric) = -1.0752688425471158710036703662372 absolute error = 2.614845911856e-19 relative error = 2.4318066407112724580283360000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9871 Order of pole = 5.626 x[1] = -0.976 y[1] (analytic) = -1.0755993893762032945488829461497 y[1] (numeric) = -1.075599389376203294811586122031 absolute error = 2.627031758813e-19 relative error = 2.4423886669706590330879999999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.987 Order of pole = 5.626 x[1] = -0.9759 y[1] (analytic) = -1.0759300717030673919110650999264 y[1] (numeric) = -1.0759300717030673921749879846817 absolute error = 2.639228847553e-19 relative error = 2.4529743307345424448738870000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9869 Order of pole = 5.626 x[1] = -0.9758 y[1] (analytic) = -1.0762608895971443497973752066578 y[1] (numeric) = -1.0762608895971443500625189256175 absolute error = 2.651437189597e-19 relative error = 2.4635636351976522440326640000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9868 Order of pole = 5.626 x[1] = -0.9757 y[1] (analytic) = -1.0765918431279130588579554912259 y[1] (numeric) = -1.0765918431279130591243211708743 absolute error = 2.663656796484e-19 relative error = 2.4741565835619312446370120000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9867 Order of pole = 5.626 x[1] = -0.9756 y[1] (analytic) = -1.0769229323648951440677858552504 y[1] (numeric) = -1.0769229323648951443353746232269 absolute error = 2.675887679765e-19 relative error = 2.4847531790309444638742400000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9866 Order of pole = 5.626 x[1] = -0.9755 y[1] (analytic) = -1.0772541573776549953951552399127 y[1] (numeric) = -1.0772541573776549956639682250128 absolute error = 2.688129851001e-19 relative error = 2.4953534248080114986688749999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9865 Order of pole = 5.626 x[1] = -0.9754 y[1] (analytic) = -1.0775855182357997984952891219719 y[1] (numeric) = -1.077585518235799798765327454149 absolute error = 2.700383321771e-19 relative error = 2.5059573241036223427963439999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9864 Order of pole = 5.626 x[1] = -0.9753 y[1] (analytic) = -1.0779170150089795654291563592593 y[1] (numeric) = -1.0779170150089795657004211696258 absolute error = 2.712648103665e-19 relative error = 2.5165648801289237845477050000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9863 Order of pole = 5.626 x[1] = -0.9752 y[1] (analytic) = -1.0782486477668871654074786257415 y[1] (numeric) = -1.0782486477668871656799710465697 absolute error = 2.724924208282e-19 relative error = 2.5271760960938549521602559999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9862 Order of pole = 5.626 x[1] = -0.9751 y[1] (analytic) = -1.0785804165792583555599657000798 y[1] (numeric) = -1.0785804165792583558336868648039 absolute error = 2.737211647241e-19 relative error = 2.5377909752173391705089909999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9861 Order of pole = 5.626 memory used=49.5MB, alloc=4.4MB, time=3.33 x[1] = -0.975 y[1] (analytic) = -1.0789123215158718117297998954803 y[1] (numeric) = -1.0789123215158718120047509386974 absolute error = 2.749510432171e-19 relative error = 2.5484095207179929531250000000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.986 Order of pole = 5.626 x[1] = -0.9749 y[1] (analytic) = -1.0792443626465491592933929425134 y[1] (numeric) = -1.0792443626465491595695749999844 absolute error = 2.761820574710e-19 relative error = 2.5590317358131912878177899999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9859 Order of pole = 5.626 x[1] = -0.9748 y[1] (analytic) = -1.0795765400411550040054386604998 y[1] (numeric) = -1.0795765400411550042828528691515 absolute error = 2.774142086517e-19 relative error = 2.5696576237301763987968640000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9858 Order of pole = 5.626 x[1] = -0.9747 y[1] (analytic) = -1.0799088537695969628692847770087 y[1] (numeric) = -1.0799088537695969631479322749345 absolute error = 2.786474979258e-19 relative error = 2.5802871876930698863535340000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9857 Order of pole = 5.626 x[1] = -0.9746 y[1] (analytic) = -1.0802413039018256950326472789755 y[1] (numeric) = -1.080241303901825695312529205437 absolute error = 2.798819264615e-19 relative error = 2.5909204309312003612596399999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9856 Order of pole = 5.626 x[1] = -0.9745 y[1] (analytic) = -1.0805738905078349327086907029534 y[1] (numeric) = -1.0805738905078349329898081983818 absolute error = 2.811174954284e-19 relative error = 2.6015573566772359221395000000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9855 Order of pole = 5.626 x[1] = -0.9744 y[1] (analytic) = -1.0809066136576615121224977960324 y[1] (numeric) = -1.0809066136576615124048520020295 absolute error = 2.823542059971e-19 relative error = 2.6121979681634697652592640000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9854 Order of pole = 5.626 x[1] = -0.9743 y[1] (analytic) = -1.0812394734213854044829520030126 y[1] (numeric) = -1.0812394734213854047665440623522 absolute error = 2.835920593396e-19 relative error = 2.6228422686255115565321719999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9853 Order of pole = 5.626 x[1] = -0.9742 y[1] (analytic) = -1.0815724698691297469800562594995 y[1] (numeric) = -1.0815724698691297472648873161291 absolute error = 2.848310566296e-19 relative error = 2.6334902613050473971684479999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9852 Order of pole = 5.626 x[1] = -0.9741 y[1] (analytic) = -1.0819056030710608738077115946946 y[1] (numeric) = -1.0819056030710608740937827937363 absolute error = 2.860711990417e-19 relative error = 2.6441419494424274301507569999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9851 Order of pole = 5.626 x[1] = -0.974 y[1] (analytic) = -1.0822388730973883472119790717858 y[1] (numeric) = -1.082238873097388347499291559538 absolute error = 2.873124877522e-19 relative error = 2.6547973362840512893280000000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.985 Order of pole = 5.626 x[1] = -0.9739 y[1] (analytic) = -1.0825722800183649885648486180086 y[1] (numeric) = -1.0825722800183649888534035419466 absolute error = 2.885549239380e-19 relative error = 2.6654564250721891043002200000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9849 Order of pole = 5.626 x[1] = -0.9738 y[1] (analytic) = -1.0829058239042869094635383206297 y[1] (numeric) = -1.0829058239042869097533368294079 absolute error = 2.897985087782e-19 relative error = 2.6761192190597542128467039999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9848 Order of pole = 5.626 x[1] = -0.9737 y[1] (analytic) = -1.0832395048254935428553477893287 y[1] (numeric) = -1.0832395048254935431463910327817 absolute error = 2.910432434530e-19 relative error = 2.6867857215001233336350900000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9847 Order of pole = 5.626 x[1] = -0.9736 y[1] (analytic) = -1.08357332285236767418808920969 y[1] (numeric) = -1.0835733228523676744803783388333 absolute error = 2.922891291433e-19 relative error = 2.6974559356434356344468480000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9846 Order of pole = 5.626 x[1] = -0.9735 y[1] (analytic) = -1.0839072780553354725861197367877 y[1] (numeric) = -1.0839072780553354728796559038199 absolute error = 2.935361670322e-19 relative error = 2.7081298647504278074507499999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9845 Order of pole = 5.626 x[1] = -0.9734 y[1] (analytic) = -1.0842413705048665220519989021503 y[1] (numeric) = -1.0842413705048665223467832604542 absolute error = 2.947843583039e-19 relative error = 2.7188075120822636635292560000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9844 Order of pole = 5.626 x[1] = -0.9733 y[1] (analytic) = -1.084575600271473852693794731709 y[1] (numeric) = -1.0845756002714738529898284358526 absolute error = 2.960337041436e-19 relative error = 2.7294888808996026995419320000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9843 Order of pole = 5.626 x[1] = -0.9732 y[1] (analytic) = -1.0849099674257139719780622966908 y[1] (numeric) = -1.0849099674257139722753465024288 absolute error = 2.972842057380e-19 relative error = 2.7401739744672007916198400000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9842 Order of pole = 5.626 x[1] = -0.9731 y[1] (analytic) = -1.0852444720381868960085184437976 y[1] (numeric) = -1.0852444720381868963070543080728 absolute error = 2.985358642752e-19 relative error = 2.7508627960529736644200319999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9841 Order of pole = 5.626 memory used=53.4MB, alloc=4.4MB, time=3.59 x[1] = -0.973 y[1] (analytic) = -1.0855791141795361808304364754183 y[1] (numeric) = -1.0855791141795361811302251563631 absolute error = 2.997886809448e-19 relative error = 2.7615553489289044110160000000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.984 Order of pole = 5.626 x[1] = -0.9729 y[1] (analytic) = -1.0859138939204489537607845750593 y[1] (numeric) = -1.0859138939204489540618272319969 absolute error = 3.010426569376e-19 relative error = 2.7722516363682657863768640000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9839 Order of pole = 5.626 x[1] = -0.9728 y[1] (analytic) = -1.0862488113316559447441317976382 y[1] (numeric) = -1.0862488113316559450464295910836 absolute error = 3.022977934454e-19 relative error = 2.7829516616437682227118079999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9838 Order of pole = 5.626 x[1] = -0.9727 y[1] (analytic) = -1.0865838664839315177343454687777 y[1] (numeric) = -1.0865838664839315180378995604398 absolute error = 3.035540916621e-19 relative error = 2.7936554280376753621730430000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9836 Order of pole = 5.626 x[1] = -0.9726 y[1] (analytic) = -1.0869190594480937021021038617595 y[1] (numeric) = -1.0869190594480937024069154145416 absolute error = 3.048115527821e-19 relative error = 2.8043629388270600089854959999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9835 Order of pole = 5.626 x[1] = -0.9725 y[1] (analytic) = -1.0872543902950042240682480453333 y[1] (numeric) = -1.0872543902950042243743182233352 absolute error = 3.060701780019e-19 relative error = 2.8150741972985192736093749999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9834 Order of pole = 5.626 x[1] = -0.9724 y[1] (analytic) = -1.0875898590955685381629968201634 y[1] (numeric) = -1.0875898590955685384703267886825 absolute error = 3.073299685191e-19 relative error = 2.8257892067389564142259839999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9833 Order of pole = 5.626 x[1] = -0.9723 y[1] (analytic) = -1.087925465920735858711048686286 y[1] (numeric) = -1.0879254659207358590196396118184 absolute error = 3.085909255324e-19 relative error = 2.8365079704355715196907080000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9832 Order of pole = 5.626 x[1] = -0.9722 y[1] (analytic) = -1.0882612108414991913425948085855 y[1] (numeric) = -1.0882612108414991916524478588274 absolute error = 3.098530502419e-19 relative error = 2.8472304916786088917811119999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9831 Order of pole = 5.626 x[1] = -0.9721 y[1] (analytic) = -1.0885970939288953645302669719543 y[1] (numeric) = -1.0885970939288953648413833158039 absolute error = 3.111163438496e-19 relative error = 2.8579567737659365592490560000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.983 Order of pole = 5.626 x[1] = -0.972 y[1] (analytic) = -1.0889331152540050611520445424867 y[1] (numeric) = -1.0889331152540050614644253500449 absolute error = 3.123808075582e-19 relative error = 2.8686868199920056879360000000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9829 Order of pole = 5.626 x[1] = -0.9719 y[1] (analytic) = -1.0892692748879528500801444757677 y[1] (numeric) = -1.0892692748879528503937909183396 absolute error = 3.136464425719e-19 relative error = 2.8794206336551913441435209999997e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9828 Order of pole = 5.626 x[1] = -0.9718 y[1] (analytic) = -1.0896055729019072177959184380623 y[1] (numeric) = -1.0896055729019072181108316881591 absolute error = 3.149132500968e-19 relative error = 2.8901582180614486088165759999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9827 Order of pole = 5.626 x[1] = -0.9717 y[1] (analytic) = -1.0899420093670806000307811309804 y[1] (numeric) = -1.08994200936708060034696236232 absolute error = 3.161812313396e-19 relative error = 2.9008995765123647443749479999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9826 Order of pole = 5.626 x[1] = -0.9716 y[1] (analytic) = -1.0902785843547294134331939349839 y[1] (numeric) = -1.0902785843547294137506443224929 absolute error = 3.174503875090e-19 relative error = 2.9116447123179977816326400000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9825 Order of pole = 5.626 x[1] = -0.9715 y[1] (analytic) = -1.090615297936154087261728011937 y[1] (numeric) = -1.0906152979361540875804487317514 absolute error = 3.187207198144e-19 relative error = 2.9223936287849346567760000000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9824 Order of pole = 5.626 x[1] = -0.9714 y[1] (analytic) = -1.0909521501826990951042310317444 y[1] (numeric) = -1.0909521501826990954242232612117 absolute error = 3.199922294673e-19 relative error = 2.9331463292291204704455120000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9823 Order of pole = 5.626 x[1] = -0.9713 y[1] (analytic) = -1.091289141165752986623121713014 y[1] (numeric) = -1.0912891411657529869443866306941 absolute error = 3.212649176801e-19 relative error = 2.9439028169648389415796969999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9822 Order of pole = 5.626 x[1] = -0.9712 y[1] (analytic) = -1.0916262709567484193268363925805 y[1] (numeric) = -1.0916262709567484196493751782473 absolute error = 3.225387856668e-19 relative error = 2.9546630953111184782295039999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9821 Order of pole = 5.626 x[1] = -0.9711 y[1] (analytic) = -1.0919635396271621903674518636719 y[1] (numeric) = -1.0919635396271621906912656983145 absolute error = 3.238138346426e-19 relative error = 2.9654271675880527749016060000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.982 Order of pole = 5.626 memory used=57.2MB, alloc=4.4MB, time=3.86 x[1] = -0.971 y[1] (analytic) = -1.0923009472485152683645087474632 y[1] (numeric) = -1.0923009472485152686895988132875 absolute error = 3.250900658243e-19 relative error = 2.9761950371204522004730000000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9819 Order of pole = 5.626 x[1] = -0.9709 y[1] (analytic) = -1.0926384938923728252550596877582 y[1] (numeric) = -1.0926384938923728255814271681878 absolute error = 3.263674804296e-19 relative error = 2.9869667072314210337133839999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9818 Order of pole = 5.626 x[1] = -0.9708 y[1] (analytic) = -1.0929761796303442681699666835602 y[1] (numeric) = -1.0929761796303442684976127632385 absolute error = 3.276460796783e-19 relative error = 2.9977421812533303148920959999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9817 Order of pole = 5.626 x[1] = -0.9707 y[1] (analytic) = -1.0933140045340832713364718993496 y[1] (numeric) = -1.0933140045340832716653977641407 absolute error = 3.289258647911e-19 relative error = 3.0085214625168187413183730000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9816 Order of pole = 5.626 x[1] = -0.9706 y[1] (analytic) = -1.0936519686752878080070663179588 y[1] (numeric) = -1.0936519686752878083372731549489 absolute error = 3.302068369901e-19 relative error = 3.0193045543553581808062159999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9815 Order of pole = 5.626 x[1] = -0.9705 y[1] (analytic) = -1.0939900721257001824146806260473 y[1] (numeric) = -1.0939900721257001827461696235462 absolute error = 3.314889974989e-19 relative error = 3.0300914601061543735211249999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9814 Order of pole = 5.626 x[1] = -0.9704 y[1] (analytic) = -1.0943283149571070617542227473171 y[1] (numeric) = -1.0943283149571070620869950948596 absolute error = 3.327723475425e-19 relative error = 3.0408821831092183443071999999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9813 Order of pole = 5.626 x[1] = -0.9703 y[1] (analytic) = -1.0946666972413395081904864637697 y[1] (numeric) = -1.094666697241339508524543352117 absolute error = 3.340568883473e-19 relative error = 3.0516767267073530415624710000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9812 Order of pole = 5.626 x[1] = -0.9702 y[1] (analytic) = -1.0950052190502730108924555905039 y[1] (numeric) = -1.0950052190502730112277982116448 absolute error = 3.353426211409e-19 relative error = 3.0624750942443135115588720000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9811 Order of pole = 5.626 x[1] = -0.9701 y[1] (analytic) = -1.095343880455827518094028194772 y[1] (numeric) = -1.0953438804558275184306577419245 absolute error = 3.366295471525e-19 relative error = 3.0732772890684482035990250000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.981 Order of pole = 5.626 x[1] = -0.97 y[1] (analytic) = -1.0956826815299674691811853752658 y[1] (numeric) = -1.0956826815299674695191030428784 absolute error = 3.379176676126e-19 relative error = 3.0840833145299447980000000000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9809 Order of pole = 5.626 x[1] = -0.9699 y[1] (analytic) = -1.0960216223447018268056291428815 y[1] (numeric) = -1.0960216223447018271448361266347 absolute error = 3.392069837532e-19 relative error = 3.0948931739826430807036680000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9808 Order of pole = 5.626 x[1] = -0.9698 y[1] (analytic) = -1.0963607029720841090249139695209 y[1] (numeric) = -1.0963607029720841093654114663284 absolute error = 3.404974968075e-19 relative error = 3.1057068707812838986854000000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9807 Order of pole = 5.626 x[1] = -0.9697 y[1] (analytic) = -1.0966999234842124214690965968232 y[1] (numeric) = -1.0966999234842124218108858048335 absolute error = 3.417892080103e-19 relative error = 3.1165244082851459903829190000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9806 Order of pole = 5.626 x[1] = -0.9696 y[1] (analytic) = -1.0970392839532294895339287220883 y[1] (numeric) = -1.097039283953229489877010840686 absolute error = 3.430821185977e-19 relative error = 3.1273457898552952448286720000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9805 Order of pole = 5.626 x[1] = -0.9695 y[1] (analytic) = -1.0973787844513226906006172040446 y[1] (numeric) = -1.0973787844513226909449934338518 absolute error = 3.443762298072e-19 relative error = 3.1381710188554840989210000000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9804 Order of pole = 5.626 x[1] = -0.9694 y[1] (analytic) = -1.0977184250507240862821764565395 y[1] (numeric) = -1.0977184250507240866278479994172 absolute error = 3.456715428777e-19 relative error = 3.1490000986521382724293679999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9803 Order of pole = 5.626 x[1] = -0.9693 y[1] (analytic) = -1.0980582058237104546963977236815 y[1] (numeric) = -1.0980582058237104550433657827313 absolute error = 3.469680590498e-19 relative error = 3.1598330326170756093373860000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9802 Order of pole = 5.626 x[1] = -0.9692 y[1] (analytic) = -1.0983981268426033227654599554455 y[1] (numeric) = -1.0983981268426033231137257350104 absolute error = 3.482657795649e-19 relative error = 3.1706698241192948564853119999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9801 Order of pole = 5.626 x[1] = -0.9691 y[1] (analytic) = -1.0987381881797689985422070282586 y[1] (numeric) = -1.098738188179768998891771733925 absolute error = 3.495647056664e-19 relative error = 3.1815104765358925048863440000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop memory used=61.0MB, alloc=4.4MB, time=4.12 Real estimate of pole used Radius of convergence = 0.98 Order of pole = 5.626 x[1] = -0.969 y[1] (analytic) = -1.0990783899076186035631160806292 y[1] (numeric) = -1.0990783899076186039139809192279 absolute error = 3.508648385987e-19 relative error = 3.1923549932429425822830000000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9799 Order of pole = 5.626 x[1] = -0.9689 y[1] (analytic) = -1.0994187320986081052279817594423 y[1] (numeric) = -1.0994187320986081055801479390501 absolute error = 3.521661796078e-19 relative error = 3.2032033776209465060059820000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9798 Order of pole = 5.626 x[1] = -0.9688 y[1] (analytic) = -1.099759214825238349206341198147 y[1] (numeric) = -1.0997592148252383495598099280882 absolute error = 3.534687299412e-19 relative error = 3.2140556330539077757808640000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9797 Order of pole = 5.626 x[1] = -0.9687 y[1] (analytic) = -1.1000998381600550918706645736844 y[1] (numeric) = -1.1000998381600550922254370645321 absolute error = 3.547724908477e-19 relative error = 3.2249117629274993598443310000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9796 Order of pole = 5.626 x[1] = -0.9686 y[1] (analytic) = -1.1004406021756490327563361146608 y[1] (numeric) = -1.1004406021756490331124135782382 absolute error = 3.560774635774e-19 relative error = 3.2357717706290519243025440000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9795 Order of pole = 5.626 x[1] = -0.9685 y[1] (analytic) = -1.1007815069446558470484504589538 y[1] (numeric) = -1.1007815069446558474058341083359 absolute error = 3.573836493821e-19 relative error = 3.2466356595511758543016250000004e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9794 Order of pole = 5.626 x[1] = -0.9684 y[1] (analytic) = -1.1011225525397562180954492846543 y[1] (numeric) = -1.1011225525397562184541403341688 absolute error = 3.586910495145e-19 relative error = 3.2575034330844785626780799999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9793 Order of pole = 5.626 x[1] = -0.9683 y[1] (analytic) = -1.1014637390336758699496231639866 y[1] (numeric) = -1.1014637390336758703096228292163 absolute error = 3.599996652297e-19 relative error = 3.2683750946311766195751389999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9792 Order of pole = 5.626 x[1] = -0.9682 y[1] (analytic) = -1.1018050664991855999345036156265 y[1] (numeric) = -1.1018050664991856002958131134097 absolute error = 3.613094977832e-19 relative error = 3.2792506475869165209925759999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9791 Order of pole = 5.626 x[1] = -0.9681 y[1] (analytic) = -1.1021465350091013112391703566291 y[1] (numeric) = -1.1021465350091013116017909050616 absolute error = 3.626205484325e-19 relative error = 3.2901300953552927533223249999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.979 Order of pole = 5.626 x[1] = -0.968 y[1] (analytic) = -1.1024881446362840455394987810185 y[1] (numeric) = -1.1024881446362840459034315994549 absolute error = 3.639328184364e-19 relative error = 3.3010134413414769684480000000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9789 Order of pole = 5.626 x[1] = -0.9679 y[1] (analytic) = -1.1028298954536400156463727179442 y[1] (numeric) = -1.1028298954536400160116190269992 absolute error = 3.652463090550e-19 relative error = 3.3119006889522062871214500000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9788 Order of pole = 5.626 x[1] = -0.9678 y[1] (analytic) = -1.1031717875341206381808875482002 y[1] (numeric) = -1.1031717875341206385474485697502 absolute error = 3.665610215500e-19 relative error = 3.3227918415984910435560000000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9787 Order of pole = 5.626 x[1] = -0.9677 y[1] (analytic) = -1.1035138209507225662765687838238 y[1] (numeric) = -1.1035138209507225666444457410082 absolute error = 3.678769571844e-19 relative error = 3.3336869026928803054856520000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9786 Order of pole = 5.626 x[1] = -0.9676 y[1] (analytic) = -1.1038559957764877223086312414344 y[1] (numeric) = -1.1038559957764877226778253586571 absolute error = 3.691941172227e-19 relative error = 3.3445858756512620392571519999997e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9785 Order of pole = 5.626 x[1] = -0.9675 y[1] (analytic) = -1.1041983120845033306503039659543 y[1] (numeric) = -1.1041983120845033310208164688854 absolute error = 3.705125029311e-19 relative error = 3.3554887638946599145781249999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9784 Order of pole = 5.626 x[1] = -0.9674 y[1] (analytic) = -1.1045407699479019504562460873593 y[1] (numeric) = -1.1045407699479019508280782029362 absolute error = 3.718321155769e-19 relative error = 3.3663955708437839222844560000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9783 Order of pole = 5.626 x[1] = -0.9673 y[1] (analytic) = -1.1048833694398615084730788191415 y[1] (numeric) = -1.1048833694398615088462317755703 absolute error = 3.731529564288e-19 relative error = 3.3773062999217367678024960000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9782 Order of pole = 5.626 x[1] = -0.9672 y[1] (analytic) = -1.1052261106336053318770588332361 y[1] (numeric) = -1.1052261106336053322515338599933 absolute error = 3.744750267572e-19 relative error = 3.3882209545567152205762560000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9781 Order of pole = 5.626 x[1] = -0.9671 y[1] (analytic) = -1.1055689936024021811389182722584 y[1] (numeric) = -1.105568993602402181514716600092 absolute error = 3.757983278336e-19 relative error = 3.3991395381765658185448960000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop memory used=64.8MB, alloc=4.4MB, time=4.39 Real estimate of pole used Radius of convergence = 0.978 Order of pole = 5.626 x[1] = -0.967 y[1] (analytic) = -1.1059120184195662829158966860222 y[1] (numeric) = -1.1059120184195662832930195469536 absolute error = 3.771228609314e-19 relative error = 3.4100620542160099207819999999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9779 Order of pole = 5.626 x[1] = -0.9669 y[1] (analytic) = -1.1062551851584573629709902054677 y[1] (numeric) = -1.1062551851584573633494388327929 absolute error = 3.784486273252e-19 relative error = 3.4209885061102960458148679999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9778 Order of pole = 5.626 x[1] = -0.9668 y[1] (analytic) = -1.1065984938924806791194432933107 y[1] (numeric) = -1.1065984938924806794992189216018 absolute error = 3.797756282911e-19 relative error = 3.4319188972979007046747520000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9777 Order of pole = 5.626 x[1] = -0.9667 y[1] (analytic) = -1.1069419446950870542025084369405 y[1] (numeric) = -1.1069419446950870545836123020469 absolute error = 3.811038651064e-19 relative error = 3.4428532312178038575266319999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9776 Order of pole = 5.626 x[1] = -0.9666 y[1] (analytic) = -1.1072855376397729090884991753378 y[1] (numeric) = -1.1072855376397729094709325143881 absolute error = 3.824333390503e-19 relative error = 3.4537915113158005218488880000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9775 Order of pole = 5.626 x[1] = -0.9665 y[1] (analytic) = -1.1076292728000802957011618780609 y[1] (numeric) = -1.107629272800080296084925929464 absolute error = 3.837640514031e-19 relative error = 3.4647337410372581810433750000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9774 Order of pole = 5.626 x[1] = -0.9664 y[1] (analytic) = -1.107973150249596930075391720649 y[1] (numeric) = -1.1079731502495969304604877240957 absolute error = 3.850960034467e-19 relative error = 3.4756799238316207943188479999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9773 Order of pole = 5.626 x[1] = -0.9663 y[1] (analytic) = -1.1083171700619562254403183271296 y[1] (numeric) = -1.1083171700619562258267475235942 absolute error = 3.864291964646e-19 relative error = 3.4866300631523930661295619999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9772 Order of pole = 5.626 x[1] = -0.9662 y[1] (analytic) = -1.1086613323108373253297865766799 y[1] (numeric) = -1.1086613323108373257175502084214 absolute error = 3.877636317415e-19 relative error = 3.4975841624535167731701200000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9771 Order of pole = 5.626 x[1] = -0.9661 y[1] (analytic) = -1.1090056370699651367202580978857 y[1] (numeric) = -1.1090056370699651371093574084493 absolute error = 3.890993105636e-19 relative error = 3.5085422251920657852577159999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.977 Order of pole = 5.626 x[1] = -0.966 y[1] (analytic) = -1.1093500844131103631961590004675 y[1] (numeric) = -1.1093500844131103635865952346862 absolute error = 3.904362342187e-19 relative error = 3.5195042548291331981519999999997e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9769 Order of pole = 5.626 x[1] = -0.9659 y[1] (analytic) = -1.109694674414089538142699420797 y[1] (numeric) = -1.1096946744140895385344738247931 absolute error = 3.917744039961e-19 relative error = 3.5304702548289145008110189999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9768 Order of pole = 5.626 x[1] = -0.9658 y[1] (analytic) = -1.1100394071467650579661904840128 y[1] (numeric) = -1.1100394071467650583593043051993 absolute error = 3.931138211865e-19 relative error = 3.5414402286577924341718800000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9767 Order of pole = 5.626 x[1] = -0.9657 y[1] (analytic) = -1.1103842826850452153418843120581 y[1] (numeric) = -1.1103842826850452157363387991399 absolute error = 3.944544870818e-19 relative error = 3.5524141797825229511194739999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9766 Order of pole = 5.626 x[1] = -0.9656 y[1] (analytic) = -1.1107293011028842324893627335076 y[1] (numeric) = -1.1107293011028842328851591364834 absolute error = 3.957964029758e-19 relative error = 3.5633921116765273283553280000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9765 Order of pole = 5.626 x[1] = -0.9655 y[1] (analytic) = -1.1110744624742822944755003776306 y[1] (numeric) = -1.1110744624742822948726399477941 absolute error = 3.971395701635e-19 relative error = 3.5743740278135721247231249999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9764 Order of pole = 5.626 x[1] = -0.9654 y[1] (analytic) = -1.1114197668732855825450278617354 y[1] (numeric) = -1.1114197668732855829435118516771 absolute error = 3.984839899417e-19 relative error = 3.5853599316731576496320880000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9763 Order of pole = 5.626 x[1] = -0.9653 y[1] (analytic) = -1.1117652143739863074787208074848 y[1] (numeric) = -1.1117652143739863078785504710929 absolute error = 3.998296636081e-19 relative error = 3.5963498267324043185062370000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9762 Order of pole = 5.626 x[1] = -0.9652 y[1] (analytic) = -1.1121108050505227429792404485295 y[1] (numeric) = -1.1121108050505227433804170409921 absolute error = 4.011765924626e-19 relative error = 3.6073437164777363174478080000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9761 Order of pole = 5.626 x[1] = -0.9651 y[1] (analytic) = -1.1124565389770792590846516185132 y[1] (numeric) = -1.112456538977079259487176396319 absolute error = 4.025247778058e-19 relative error = 3.6183416043913739541221580000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop memory used=68.6MB, alloc=4.4MB, time=4.65 Real estimate of pole used Radius of convergence = 0.976 Order of pole = 5.626 x[1] = -0.965 y[1] (analytic) = -1.1128024162278863556096439352199 y[1] (numeric) = -1.1128024162278863560135181561604 absolute error = 4.038742209405e-19 relative error = 3.6293434939648101356249999999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9759 Order of pole = 5.626 x[1] = -0.9649 y[1] (analytic) = -1.1131484368772206956144820234009 y[1] (numeric) = -1.1131484368772206960197069465715 absolute error = 4.052249231706e-19 relative error = 3.6403493886889045379519939999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9758 Order of pole = 5.626 x[1] = -0.9648 y[1] (analytic) = -1.1134946009994051389017106456 y[1] (numeric) = -1.1134946009994051393082875314016 absolute error = 4.065768858016e-19 relative error = 3.6513592920583654016286720000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9757 Order of pole = 5.626 x[1] = -0.9647 y[1] (analytic) = -1.1138409086688087755406406371186 y[1] (numeric) = -1.1138409086688087759485707472589 absolute error = 4.079301101403e-19 relative error = 3.6623732075690406043812690000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9756 Order of pole = 5.626 x[1] = -0.9646 y[1] (analytic) = -1.1141873599598469594196415681089 y[1] (numeric) = -1.1141873599598469598289261656041 absolute error = 4.092845974952e-19 relative error = 3.6733911387214963769294719999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9755 Order of pole = 5.626 x[1] = -0.9645 y[1] (analytic) = -1.1145339549469813418262670826658 y[1] (numeric) = -1.1145339549469813422369074318422 absolute error = 4.106403491764e-19 relative error = 3.6844130890201031498745000000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9754 Order of pole = 5.626 x[1] = -0.9644 y[1] (analytic) = -1.1148806937047199050552388916971 y[1] (numeric) = -1.1148806937047199054672362581922 absolute error = 4.119973664951e-19 relative error = 3.6954390619685352602227840000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9753 Order of pole = 5.626 x[1] = -0.9643 y[1] (analytic) = -1.1152275763076169960443154232915 y[1] (numeric) = -1.1152275763076169964576710740559 absolute error = 4.133556507644e-19 relative error = 3.7064690610769358535843079999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9752 Order of pole = 5.626 x[1] = -0.9642 y[1] (analytic) = -1.1155746028302733600380711612802 y[1] (numeric) = -1.1155746028302733604527863645789 absolute error = 4.147152032987e-19 relative error = 3.7175030898565188190192560000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9751 Order of pole = 5.626 x[1] = -0.9641 y[1] (analytic) = -1.1159217733473361742796127296865 y[1] (numeric) = -1.1159217733473361746956887551005 absolute error = 4.160760254140e-19 relative error = 3.7285411518222458597749400000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.975 Order of pole = 5.626 x[1] = -0.964 y[1] (analytic) = -1.1162690879334990817302578077933 y[1] (numeric) = -1.1162690879334990821476959262207 absolute error = 4.174381184274e-19 relative error = 3.7395832504883318242559999999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9749 Order of pole = 5.626 x[1] = -0.9639 y[1] (analytic) = -1.1166165466635022248172029876213 y[1] (numeric) = -1.1166165466635022252360044712796 absolute error = 4.188014836583e-19 relative error = 3.7506293893789829760253770000004e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9748 Order of pole = 5.626 x[1] = -0.9638 y[1] (analytic) = -1.1169641496121322792092067127117 y[1] (numeric) = -1.1169641496121322796293728351383 absolute error = 4.201661224266e-19 relative error = 3.7616795720122566887591519999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9746 Order of pole = 5.626 x[1] = -0.9637 y[1] (analytic) = -1.1173118968542224876203134642215 y[1] (numeric) = -1.1173118968542224880418455002763 absolute error = 4.215320360548e-19 relative error = 3.7727338019188564574234440000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9745 Order of pole = 5.626 x[1] = -0.9636 y[1] (analytic) = -1.1176597884646526936416453875133 y[1] (numeric) = -1.1176597884646526940645446133793 absolute error = 4.228992258660e-19 relative error = 3.7837920826242080176089600000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9744 Order of pole = 5.626 x[1] = -0.9635 y[1] (analytic) = -1.1180078245183493756012875795929 y[1] (numeric) = -1.1180078245183493760255552727782 absolute error = 4.242676931853e-19 relative error = 3.7948544176609801454373750000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9743 Order of pole = 5.626 x[1] = -0.9634 y[1] (analytic) = -1.1183560050902856804522932849806 y[1] (numeric) = -1.1183560050902856808779307243196 absolute error = 4.256374393390e-19 relative error = 3.8059208105619103371925599999997e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9742 Order of pole = 5.626 x[1] = -0.9633 y[1] (analytic) = -1.1187043302554814576888352748434 y[1] (numeric) = -1.1187043302554814581158437404988 absolute error = 4.270084656554e-19 relative error = 3.8169912648669461283538979999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9741 Order of pole = 5.626 x[1] = -0.9632 y[1] (analytic) = -1.1190528000890032932905297115047 y[1] (numeric) = -1.1190528000890032937189104849685 absolute error = 4.283807734638e-19 relative error = 3.8280657841142880284835839999996e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.974 Order of pole = 5.626 x[1] = -0.9631 y[1] (analytic) = -1.1194014146659645436949588277513 y[1] (numeric) = -1.1194014146659645441247131918468 absolute error = 4.297543640955e-19 relative error = 3.8391443718493158614344050000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop memory used=72.4MB, alloc=4.4MB, time=4.91 Real estimate of pole used Radius of convergence = 0.9739 Order of pole = 5.626 x[1] = -0.963 y[1] (analytic) = -1.1197501740615253697984187777124 y[1] (numeric) = -1.119750174061525370229548016595 absolute error = 4.311292388826e-19 relative error = 3.8502270316138511786219999999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9738 Order of pole = 5.626 x[1] = -0.9629 y[1] (analytic) = -1.120099078350892770984919043449 y[1] (numeric) = -1.1200990783508927714174244426085 absolute error = 4.325053991595e-19 relative error = 3.8613137669595447275864549999996e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9737 Order of pole = 5.626 x[1] = -0.9628 y[1] (analytic) = -1.1204481276093206191834598088093 y[1] (numeric) = -1.1204481276093206196173426550711 absolute error = 4.338828462618e-19 relative error = 3.8724045814380338936559359999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9736 Order of pole = 5.626 x[1] = -0.9627 y[1] (analytic) = -1.1207973219121096929536137395356 y[1] (numeric) = -1.1207973219121096933888753210621 absolute error = 4.352615815265e-19 relative error = 3.8834994786027173979889949999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9735 Order of pole = 5.626 x[1] = -0.9626 y[1] (analytic) = -1.1211466613346077115994386360798 y[1] (numeric) = -1.1211466613346077120360802423721 absolute error = 4.366416062923e-19 relative error = 3.8945984620114186122770479999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9734 Order of pole = 5.626 x[1] = -0.9625 y[1] (analytic) = -1.1214961459522093693117474530865 y[1] (numeric) = -1.1214961459522093697497703749861 absolute error = 4.380229218996e-19 relative error = 3.9057015352263688828125000000005e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9733 Order of pole = 5.626 x[1] = -0.9624 y[1] (analytic) = -1.1218457758403563693387622070341 y[1] (numeric) = -1.1218457758403563697781677367236 absolute error = 4.394055296895e-19 relative error = 3.9168087018052769864524799999997e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9732 Order of pole = 5.626 x[1] = -0.9623 y[1] (analytic) = -1.1221955510745374581851783210825 y[1] (numeric) = -1.1221955510745374586259677520885 absolute error = 4.407894310060e-19 relative error = 3.9279199653209307990120200000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9731 Order of pole = 5.626 x[1] = -0.9622 y[1] (analytic) = -1.1225454717302884598396659837837 y[1] (numeric) = -1.1225454717302884602818406109771 absolute error = 4.421746271934e-19 relative error = 3.9390353293380023410060319999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.973 Order of pole = 5.626 x[1] = -0.9621 y[1] (analytic) = -1.1228955378831923100308351259198 y[1] (numeric) = -1.122895537883192310474396245518 absolute error = 4.435611195982e-19 relative error = 3.9501547974299711367349020000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9729 Order of pole = 5.626 x[1] = -0.962 y[1] (analytic) = -1.1232457496088790905116906474093 y[1] (numeric) = -1.1232457496088790909566395569776 absolute error = 4.449489095683e-19 relative error = 3.9612783731719784384240000000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9728 Order of pole = 5.626 x[1] = -0.9619 y[1] (analytic) = -1.1235961069830260633726045538987 y[1] (numeric) = -1.1235961069830260638189425523517 absolute error = 4.463379984530e-19 relative error = 3.9724060601408147889952699999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9727 Order of pole = 5.626 x[1] = -0.9618 y[1] (analytic) = -1.1239466100813577053828316903851 y[1] (numeric) = -1.1239466100813577058305600779885 absolute error = 4.477283876034e-19 relative error = 3.9835378619184664832510880000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9726 Order of pole = 5.626 x[1] = -0.9617 y[1] (analytic) = -1.1242972589796457423605957869664 y[1] (numeric) = -1.1242972589796457428097158653381 absolute error = 4.491200783717e-19 relative error = 3.9946737820858714904560209999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9725 Order of pole = 5.626 x[1] = -0.9616 y[1] (analytic) = -1.1246480537537091835717725595984 y[1] (numeric) = -1.1246480537537091840222856317107 absolute error = 4.505130721123e-19 relative error = 4.0058138242326920500142080000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9724 Order of pole = 5.626 x[1] = -0.9615 y[1] (analytic) = -1.1249989944794143561571966365606 y[1] (numeric) = -1.1249989944794143566091040067413 absolute error = 4.519073701807e-19 relative error = 4.0169579919475133953586250000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9723 Order of pole = 5.626 x[1] = -0.9614 y[1] (analytic) = -1.1253500812326749395886191091732 y[1] (numeric) = -1.1253500812326749400419220831071 absolute error = 4.533029739339e-19 relative error = 4.0281062888213899836134159999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9722 Order of pole = 5.626 x[1] = -0.9613 y[1] (analytic) = -1.1257013140894520001533425331939 y[1] (numeric) = -1.1257013140894520006080424179247 absolute error = 4.546998847308e-19 relative error = 4.0392587184513850789532759999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9721 Order of pole = 5.626 x[1] = -0.9612 y[1] (analytic) = -1.1260526931257540254675602352343 y[1] (numeric) = -1.1260526931257540259236583391658 absolute error = 4.560981039315e-19 relative error = 4.0504152844343350575043199999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.972 Order of pole = 5.626 x[1] = -0.9611 y[1] (analytic) = -1.1264042184176369590184268064764 y[1] (numeric) = -1.1264042184176369594759244393744 absolute error = 4.574976328980e-19 relative error = 4.0615759903730542977763800000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop memory used=76.2MB, alloc=4.4MB, time=5.18 Real estimate of pole used Radius of convergence = 0.9719 Order of pole = 5.626 x[1] = -0.961 y[1] (analytic) = -1.1267558900412042347348866939516 y[1] (numeric) = -1.126755890041204235193785166945 absolute error = 4.588984729934e-19 relative error = 4.0727408398692158870540000000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9718 Order of pole = 5.626 x[1] = -0.9609 y[1] (analytic) = -1.1271077080726068115872878276464 y[1] (numeric) = -1.1271077080726068120475884532291 absolute error = 4.603006255827e-19 relative error = 4.0839098365304412663634829999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9717 Order of pole = 5.626 x[1] = -0.9608 y[1] (analytic) = -1.127459672588043208215807249745 y[1] (numeric) = -1.1274596725880432086775113417775 absolute error = 4.617040920325e-19 relative error = 4.0950829839676201422463999999997e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9716 Order of pole = 5.626 x[1] = -0.9607 y[1] (analytic) = -1.1278117836637595375877157403877 y[1] (numeric) = -1.1278117836637595380508246140987 absolute error = 4.631088737110e-19 relative error = 4.1062602857948954160607300000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9715 Order of pole = 5.626 x[1] = -0.9606 y[1] (analytic) = -1.1281640413760495416835084624301 y[1] (numeric) = -1.1281640413760495421480234344177 absolute error = 4.645149719876e-19 relative error = 4.1174417456261025418100160000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9714 Order of pole = 5.626 x[1] = -0.9605 y[1] (analytic) = -1.1285164458012546262119286758235 y[1] (numeric) = -1.128516445801254626677851064057 absolute error = 4.659223882335e-19 relative error = 4.1286273670800767304918750000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9713 Order of pole = 5.626 x[1] = -0.9604 y[1] (analytic) = -1.128868997015763895353911600407 y[1] (numeric) = -1.1288689970157638958212427242286 absolute error = 4.673311238216e-19 relative error = 4.1398171537797493038986240000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9712 Order of pole = 5.626 x[1] = -0.9603 y[1] (analytic) = -1.1292216950960141865354755341042 y[1] (numeric) = -1.1292216950960141870042167142303 absolute error = 4.687411801261e-19 relative error = 4.1510111093485890253252470000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9711 Order of pole = 5.626 x[1] = -0.9602 y[1] (analytic) = -1.1295745401184901052295873617465 y[1] (numeric) = -1.1295745401184901056997399202694 absolute error = 4.701525585229e-19 relative error = 4.1622092374141323949026320000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.971 Order of pole = 5.626 x[1] = -0.9601 y[1] (analytic) = -1.129927532159724059787029618016 y[1] (numeric) = -1.1299275321597240602585948784057 absolute error = 4.715652603897e-19 relative error = 4.1734115416088522793974969999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9709 Order of pole = 5.626 x[1] = -0.96 y[1] (analytic) = -1.1302806712962962962962962962964 y[1] (numeric) = -1.1302806712962962967692755834018 absolute error = 4.729792871054e-19 relative error = 4.1846180255648317439999999999996e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9708 Order of pole = 5.626 x[1] = -0.9599 y[1] (analytic) = -1.1306339576048349334725446235507 y[1] (numeric) = -1.1306339576048349339469392636015 absolute error = 4.743946400508e-19 relative error = 4.1958286929199458243898919999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9707 Order of pole = 5.626 x[1] = -0.9598 y[1] (analytic) = -1.13098739116201599757563004971 y[1] (numeric) = -1.1309873911620159980514413703182 absolute error = 4.758113206082e-19 relative error = 4.2070435473143056842777440000004e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9706 Order of pole = 5.626 x[1] = -0.9597 y[1] (analytic) = -1.1313409720445634573572517284508 y[1] (numeric) = -1.1313409720445634578344810586118 absolute error = 4.772293301610e-19 relative error = 4.2182625923867094197685300000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9705 Order of pole = 5.626 x[1] = -0.9596 y[1] (analytic) = -1.1316947003292492590372357946666 y[1] (numeric) = -1.1316947003292492595158844647616 absolute error = 4.786486700950e-19 relative error = 4.2294858317861212248992000000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9704 Order of pole = 5.626 x[1] = -0.9595 y[1] (analytic) = -1.1320485760928933613089837724047 y[1] (numeric) = -1.1320485760928933617890531142018 absolute error = 4.800693417971e-19 relative error = 4.2407132691601618074736250000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9703 Order of pole = 5.626 x[1] = -0.9594 y[1] (analytic) = -1.1324025994123637703741134755251 y[1] (numeric) = -1.132402599412363770855604822181 absolute error = 4.814913466559e-19 relative error = 4.2519449081603988496744560000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9702 Order of pole = 5.626 x[1] = -0.9593 y[1] (analytic) = -1.1327567703645765750063197918713 y[1] (numeric) = -1.1327567703645765754892344779328 absolute error = 4.829146860615e-19 relative error = 4.2631807524405651202970550000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9701 Order of pole = 5.626 x[1] = -0.9592 y[1] (analytic) = -1.1331110890264959816444827702975 y[1] (numeric) = -1.1331110890264959821288221317033 absolute error = 4.843393614058e-19 relative error = 4.2744208056591925425879040000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.97 Order of pole = 5.626 x[1] = -0.9591 y[1] (analytic) = -1.1334655554751343495150504584912 y[1] (numeric) = -1.1334655554751343500008158325731 absolute error = 4.857653740819e-19 relative error = 4.2856650714743010554261489999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop memory used=80.1MB, alloc=4.4MB, time=5.44 Real estimate of pole used Radius of convergence = 0.9699 Order of pole = 5.626 x[1] = -0.959 y[1] (analytic) = -1.1338201697875522257837239681508 y[1] (numeric) = -1.1338201697875522262709166936359 absolute error = 4.871927254851e-19 relative error = 4.2969135535522090072289999999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9698 Order of pole = 5.626 x[1] = -0.9589 y[1] (analytic) = -1.1341749320408583807364722727404 y[1] (numeric) = -1.1341749320408583812250936897523 absolute error = 4.886214170119e-19 relative error = 4.3081662555586930419428110000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9697 Order of pole = 5.626 x[1] = -0.9588 y[1] (analytic) = -1.1345298423122098429899042717286 y[1] (numeric) = -1.1345298423122098434799557217889 absolute error = 4.900514500603e-19 relative error = 4.3194231811616230424396160000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9696 Order of pole = 5.626 x[1] = -0.9587 y[1] (analytic) = -1.1348849006788119347310256839443 y[1] (numeric) = -1.1348849006788119352225085099745 absolute error = 4.914828260302e-19 relative error = 4.3306843340344732655309059999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9695 Order of pole = 5.626 x[1] = -0.9586 y[1] (analytic) = -1.1352401072179183069864083614385 y[1] (numeric) = -1.1352401072179183074793239077615 absolute error = 4.929155463230e-19 relative error = 4.3419497178527799040008799999997e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9694 Order of pole = 5.626 x[1] = -0.9585 y[1] (analytic) = -1.1355954620068309749207996440291 y[1] (numeric) = -1.1355954620068309754151492563709 absolute error = 4.943496123418e-19 relative error = 4.3532193362958888505042500000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9693 Order of pole = 5.626 x[1] = -0.9584 y[1] (analytic) = -1.1359509651229003531651994035282 y[1] (numeric) = -1.1359509651229003536609844290192 absolute error = 4.957850254910e-19 relative error = 4.3644931930434182475366399999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9692 Order of pole = 5.626 x[1] = -0.9583 y[1] (analytic) = -1.1363066166435252911744324555052 y[1] (numeric) = -1.1363066166435252916716542426821 absolute error = 4.972217871769e-19 relative error = 4.3757712917805281046997030000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9691 Order of pole = 5.626 x[1] = -0.9582 y[1] (analytic) = -1.136662416646153108614244045331 y[1] (numeric) = -1.1366624166461531091129039441384 absolute error = 4.986598988074e-19 relative error = 4.3870536361952620903012320000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.969 Order of pole = 5.626 x[1] = -0.9581 y[1] (analytic) = -1.1370183652082796307779461441654 y[1] (numeric) = -1.1370183652082796312780455059572 absolute error = 5.000993617918e-19 relative error = 4.3983402299767737884028379999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9689 Order of pole = 5.626 x[1] = -0.958 y[1] (analytic) = -1.1373744624074492240326423195072 y[1] (numeric) = -1.1373744624074492245341824970486 absolute error = 5.015401775414e-19 relative error = 4.4096310768205900155680000000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9688 Order of pole = 5.626 x[1] = -0.9579 y[1] (analytic) = -1.1377307083212548312950589739152 y[1] (numeric) = -1.1377307083212548317980413213838 absolute error = 5.029823474686e-19 relative error = 4.4209261804206800980017539999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9687 Order of pole = 5.626 x[1] = -0.9578 y[1] (analytic) = -1.138087103027338007537010774525 y[1] (numeric) = -1.138087103027338008041436647513 absolute error = 5.044258729880e-19 relative error = 4.4322255444791133747337600000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9686 Order of pole = 5.626 x[1] = -0.9577 y[1] (analytic) = -1.1384436466033889553205281250487 y[1] (numeric) = -1.138443646603388955826398880564 absolute error = 5.058707555153e-19 relative error = 4.4435291726963739183190490000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9685 Order of pole = 5.626 x[1] = -0.9576 y[1] (analytic) = -1.1388003391271465603626745610227 y[1] (numeric) = -1.1388003391271465608699915574909 absolute error = 5.073169964682e-19 relative error = 4.4548370687792557723576320000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9684 Order of pole = 5.626 x[1] = -0.9575 y[1] (analytic) = -1.1391571806763984271300819782005 y[1] (numeric) = -1.1391571806763984276388465754664 absolute error = 5.087645972659e-19 relative error = 4.4661492364364535552031250000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9683 Order of pole = 5.626 x[1] = -0.9574 y[1] (analytic) = -1.1395141713289809144632316331334 y[1] (numeric) = -1.1395141713289809149734451924625 absolute error = 5.102135593291e-19 relative error = 4.4774656793785491644581839999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9682 Order of pole = 5.626 x[1] = -0.9573 y[1] (analytic) = -1.1398713111627791712305088841756 y[1] (numeric) = -1.139871311162779171742172768256 absolute error = 5.116638840804e-19 relative error = 4.4887864013215076607556680000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9681 Order of pole = 5.626 x[1] = -0.9572 y[1] (analytic) = -1.1402286002557271720120596703713 y[1] (numeric) = -1.1402286002557271725251752433151 absolute error = 5.131155729438e-19 relative error = 4.5001114059822734111466240000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.968 Order of pole = 5.626 x[1] = -0.9571 y[1] (analytic) = -1.1405860386858077528134767549337 y[1] (numeric) = -1.1405860386858077533280453822788 absolute error = 5.145686273451e-19 relative error = 4.5114406970822651728643610000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop memory used=83.9MB, alloc=4.4MB, time=5.70 Real estimate of pole used Radius of convergence = 0.9679 Order of pole = 5.626 x[1] = -0.957 y[1] (analytic) = -1.1409436265310526468093437893195 y[1] (numeric) = -1.1409436265310526473253668380312 absolute error = 5.160230487117e-19 relative error = 4.5227742783456057876810000000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9678 Order of pole = 5.626 x[1] = -0.9569 y[1] (analytic) = -1.1413013638695425201166652832218 y[1] (numeric) = -1.1413013638695425206341441216943 absolute error = 5.174788384725e-19 relative error = 4.5341121534982313795375250000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9677 Order of pole = 5.626 x[1] = -0.9568 y[1] (analytic) = -1.1416592507794070075982105951618 y[1] (numeric) = -1.14165925077940700811714659322 absolute error = 5.189359980582e-19 relative error = 4.5454543262705058846474240000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9676 Order of pole = 5.626 x[1] = -0.9567 y[1] (analytic) = -1.1420172873388247486958000877508 y[1] (numeric) = -1.1420172873388247492161946166519 absolute error = 5.203945289011e-19 relative error = 4.5568008003954524323668929999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9675 Order of pole = 5.626 x[1] = -0.9566 y[1] (analytic) = -1.1423754736260234232935616211163 y[1] (numeric) = -1.1423754736260234238154160535516 absolute error = 5.218544324353e-19 relative error = 4.5681515796104895102280880000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9674 Order of pole = 5.626 x[1] = -0.9565 y[1] (analytic) = -1.1427338097192797876111855874461 y[1] (numeric) = -1.1427338097192797881345012975421 absolute error = 5.233157100960e-19 relative error = 4.5795066676512879971399999999997e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9673 Order of pole = 5.626 x[1] = -0.9564 y[1] (analytic) = -1.143092295696919710127206719092 y[1] (numeric) = -1.143092295696919710651985082413 absolute error = 5.247783633210e-19 relative error = 4.5908660682648857767622400000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9672 Order of pole = 5.626 x[1] = -0.9563 y[1] (analytic) = -1.143450931637318207532340932208 y[1] (numeric) = -1.1434509316373182080585833257567 absolute error = 5.262423935487e-19 relative error = 4.6022297851921685677033889999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9671 Order of pole = 5.626 x[1] = -0.9562 y[1] (analytic) = -1.1438097176188994807129054974461 y[1] (numeric) = -1.1438097176188994812406132996662 absolute error = 5.277078022201e-19 relative error = 4.6135978221853545449739280000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.967 Order of pole = 5.626 x[1] = -0.9561 y[1] (analytic) = -1.14416865372013695076435085884 y[1] (numeric) = -1.144168653720136951293525449617 absolute error = 5.291745907770e-19 relative error = 4.6249701829922341658873700000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9669 Order of pole = 5.626 x[1] = -0.956 y[1] (analytic) = -1.1445277400195532950349324516209 y[1] (numeric) = -1.1445277400195532955655752122845 absolute error = 5.306427606636e-19 relative error = 4.6363468713701462069760000000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9668 Order of pole = 5.626 x[1] = -0.9559 y[1] (analytic) = -1.1448869765957204831995508993842 y[1] (numeric) = -1.1448869765957204837316632127095 absolute error = 5.321123133253e-19 relative error = 4.6477278910754709248683870000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9667 Order of pole = 5.626 x[1] = -0.9558 y[1] (analytic) = -1.1452463635272598133637890007116 y[1] (numeric) = -1.1452463635272598138973722509208 absolute error = 5.335832502092e-19 relative error = 4.6591132458679869385823039999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9666 Order of pole = 5.626 x[1] = -0.9557 y[1] (analytic) = -1.145605900892841948198173945089 y[1] (numeric) = -1.1456059008928419487332295178535 absolute error = 5.350555727645e-19 relative error = 4.6705029395143469987529850000005e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9665 Order of pole = 5.626 x[1] = -0.9556 y[1] (analytic) = -1.145965588771186951102693227725 y[1] (numeric) = -1.1459655887711869516392225101663 absolute error = 5.365292824413e-19 relative error = 4.6818969757775851694014080000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9664 Order of pole = 5.626 x[1] = -0.9555 y[1] (analytic) = -1.1463254272410643224015927626673 y[1] (numeric) = -1.1463254272410643229395971433594 absolute error = 5.380043806921e-19 relative error = 4.6932953584301972694438750000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9663 Order of pole = 5.626 x[1] = -0.9554 y[1] (analytic) = -1.1466854163812930355684857234577 y[1] (numeric) = -1.1466854163812930361079665924285 absolute error = 5.394808689708e-19 relative error = 4.7046980912453947032285120000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9662 Order of pole = 5.626 x[1] = -0.9553 y[1] (analytic) = -1.1470455562707415734818006704233 y[1] (numeric) = -1.147045556270741574022759419156 absolute error = 5.409587487327e-19 relative error = 4.7161051779970927880072790000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9661 Order of pole = 5.626 x[1] = -0.9552 y[1] (analytic) = -1.1474058469883279647105975536087 y[1] (numeric) = -1.1474058469883279652530355750439 absolute error = 5.424380214352e-19 relative error = 4.7275166224659998101340159999996e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.966 Order of pole = 5.626 x[1] = -0.9551 y[1] (analytic) = -1.1477662886130198198307802102902 y[1] (numeric) = -1.1477662886130198203746988988277 absolute error = 5.439186885375e-19 relative error = 4.7389324284369820213166250000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop memory used=87.7MB, alloc=4.4MB, time=5.96 Real estimate of pole used Radius of convergence = 0.9659 Order of pole = 5.626 x[1] = -0.955 y[1] (analytic) = -1.1481268812238343677717340059826 y[1] (numeric) = -1.1481268812238343683171347574823 absolute error = 5.454007514997e-19 relative error = 4.7503525996912076733750000000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9658 Order of pole = 5.626 x[1] = -0.9549 y[1] (analytic) = -1.1484876248998384921934172978508 y[1] (numeric) = -1.1484876248998384927403015096351 absolute error = 5.468842117843e-19 relative error = 4.7617771400192028870866070000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9656 Order of pole = 5.626 x[1] = -0.9548 y[1] (analytic) = -1.1488485197201487678939354294867 y[1] (numeric) = -1.1488485197201487684423045003421 absolute error = 5.483690708554e-19 relative error = 4.7732060532138628642599680000004e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9655 Order of pole = 5.626 x[1] = -0.9547 y[1] (analytic) = -1.1492095657639314972476259960776 y[1] (numeric) = -1.149209565763931497797481326256 absolute error = 5.498553301784e-19 relative error = 4.7846393430678270615162320000004e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9654 Order of pole = 5.626 x[1] = -0.9546 y[1] (analytic) = -1.1495707631104027466736841491051 y[1] (numeric) = -1.1495707631104027472250271403257 absolute error = 5.513429912206e-19 relative error = 4.7960770133786883065192159999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9653 Order of pole = 5.626 x[1] = -0.9545 y[1] (analytic) = -1.1499321118388283831353567398577 y[1] (numeric) = -1.149932111838828383688188795309 absolute error = 5.528320554513e-19 relative error = 4.8075190679498440002596250000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9652 Order of pole = 5.626 x[1] = -0.9544 y[1] (analytic) = -1.1502936120285241106697341312189 y[1] (numeric) = -1.1502936120285241112240566555598 absolute error = 5.543225243409e-19 relative error = 4.8189655105826522615362559999997e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9651 Order of pole = 5.626 x[1] = -0.9543 y[1] (analytic) = -1.1506552637588555069481685374008 y[1] (numeric) = -1.1506552637588555075039829367631 absolute error = 5.558143993623e-19 relative error = 4.8304163450885914521533610000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.965 Order of pole = 5.626 x[1] = -0.9542 y[1] (analytic) = -1.1510170671092380598673477815515 y[1] (numeric) = -1.1510170671092380604246554635405 absolute error = 5.573076819890e-19 relative error = 4.8418715752727264668703199999997e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9649 Order of pole = 5.626 x[1] = -0.9541 y[1] (analytic) = -1.1513790221591372041710533914337 y[1] (numeric) = -1.1513790221591372047298557651311 absolute error = 5.588023736974e-19 relative error = 4.8533312049536841753640540000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9648 Order of pole = 5.626 x[1] = -0.954 y[1] (analytic) = -1.1517411289880683581026319837056 y[1] (numeric) = -1.1517411289880683586629304596702 absolute error = 5.602984759646e-19 relative error = 4.8647952379445199049439999999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9647 Order of pole = 5.626 x[1] = -0.9539 y[1] (analytic) = -1.1521033876755969600882089176724 y[1] (numeric) = -1.1521033876755969606500049079424 absolute error = 5.617959902700e-19 relative error = 4.8762636780666031342112999999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9646 Order of pole = 5.626 x[1] = -0.9538 y[1] (analytic) = -1.1524657983013385054506732297769 y[1] (numeric) = -1.1524657983013385060139681478715 absolute error = 5.632949180946e-19 relative error = 4.8877365291435197795529120000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9645 Order of pole = 5.626 x[1] = -0.9537 y[1] (analytic) = -1.1528283609449585831544628905137 y[1] (numeric) = -1.1528283609449585837192581514346 absolute error = 5.647952609209e-19 relative error = 4.8992137950001905519619770000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9644 Order of pole = 5.626 x[1] = -0.9536 y[1] (analytic) = -1.1531910756861729125811794559107 y[1] (numeric) = -1.1531910756861729131474764761439 absolute error = 5.662970202332e-19 relative error = 4.9106954794654595987537919999996e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9643 Order of pole = 5.626 x[1] = -0.9535 y[1] (analytic) = -1.1535539426047473803360612162169 y[1] (numeric) = -1.1535539426047473809038614137348 absolute error = 5.678001975179e-19 relative error = 4.9221815863746782463871250000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9642 Order of pole = 5.626 x[1] = -0.9534 y[1] (analytic) = -1.1539169617804980770853439749626 y[1] (numeric) = -1.1539169617804980776546487692249 absolute error = 5.693047942623e-19 relative error = 4.9336721195592846457123919999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9641 Order of pole = 5.626 x[1] = -0.9533 y[1] (analytic) = -1.154280133293291334424538622118 y[1] (numeric) = -1.1542801332932913349953494340743 absolute error = 5.708108119563e-19 relative error = 4.9451670828615269490350310000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.964 Order of pole = 5.626 x[1] = -0.9532 y[1] (analytic) = -1.1546434572230437617776546956836 y[1] (numeric) = -1.1546434572230437623499729477745 absolute error = 5.723182520909e-19 relative error = 4.9566664801214445044021120000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9639 Order of pole = 5.626 x[1] = -0.9531 y[1] (analytic) = -1.1550069336497222833273991566699 y[1] (numeric) = -1.155006933649722283901226272829 absolute error = 5.738271161591e-19 relative error = 4.9681703151846526958109810000004e-17 % h = 0.0001 TOP MAIN SOLVE Loop memory used=91.5MB, alloc=4.4MB, time=6.23 Real estimate of pole used Radius of convergence = 0.9638 Order of pole = 5.626 x[1] = -0.953 y[1] (analytic) = -1.1553705626533441749763796331014 y[1] (numeric) = -1.1553705626533441755517170387568 absolute error = 5.753374056554e-19 relative error = 4.9796785918979957520579999999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9637 Order of pole = 5.626 x[1] = -0.9529 y[1] (analytic) = -1.1557343443139771013393414193794 y[1] (numeric) = -1.1557343443139771019161905414558 absolute error = 5.768491220764e-19 relative error = 4.9911913141147255021471959999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9636 Order of pole = 5.626 x[1] = -0.9528 y[1] (analytic) = -1.1560982787117391527664675480829 y[1] (numeric) = -1.1560982787117391533448298150032 absolute error = 5.783622669203e-19 relative error = 5.0027084856901555741762560000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9635 Order of pole = 5.626 x[1] = -0.9527 y[1] (analytic) = -1.1564623659267988823977712820586 y[1] (numeric) = -1.1564623659267988829776481237453 absolute error = 5.798768416867e-19 relative error = 5.0142301104799178981686609999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9634 Order of pole = 5.626 x[1] = -0.9526 y[1] (analytic) = -1.1568266060393753432486104054644 y[1] (numeric) = -1.1568266060393753438300032533418 absolute error = 5.813928478774e-19 relative error = 5.0257561923468668258158240000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9633 Order of pole = 5.626 x[1] = -0.9525 y[1] (analytic) = -1.15719099912973812532635272328 y[1] (numeric) = -1.1571909991297381259092630102754 absolute error = 5.829102869954e-19 relative error = 5.0372867351524152861562499999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9632 Order of pole = 5.626 x[1] = -0.9524 y[1] (analytic) = -1.1575555452782073927782222096744 y[1] (numeric) = -1.1575555452782073933626513702204 absolute error = 5.844291605460e-19 relative error = 5.0488217427660289652390400000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9631 Order of pole = 5.626 x[1] = -0.9523 y[1] (analytic) = -1.1579202445651539210703552765473 y[1] (numeric) = -1.1579202445651539216563047465832 absolute error = 5.859494700359e-19 relative error = 5.0603612190574301894814530000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.963 Order of pole = 5.626 x[1] = -0.9522 y[1] (analytic) = -1.1582850970709991341980966645064 y[1] (numeric) = -1.15828509707099913478556788148 absolute error = 5.874712169736e-19 relative error = 5.0719051679000400057329279999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9629 Order of pole = 5.626 x[1] = -0.9521 y[1] (analytic) = -1.1586501028762151419275644895386 y[1] (numeric) = -1.1586501028762151425165588924081 absolute error = 5.889944028695e-19 relative error = 5.0834535931718245241018949999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9628 Order of pole = 5.626 x[1] = -0.952 y[1] (analytic) = -1.1590152620613247770685140096572 y[1] (numeric) = -1.1590152620613247776590330388928 absolute error = 5.905190292356e-19 relative error = 5.0950064987526884372480000000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9627 Order of pole = 5.626 x[1] = -0.9519 y[1] (analytic) = -1.1593805747069016327785297068665 y[1] (numeric) = -1.1593805747069016333705748044519 absolute error = 5.920450975854e-19 relative error = 5.1065638885235985067615859999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9626 Order of pole = 5.626 x[1] = -0.9518 y[1] (analytic) = -1.1597460408935700998985753108844 y[1] (numeric) = -1.1597460408935701004921479203192 absolute error = 5.935726094348e-19 relative error = 5.1181257663743312696695359999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9625 Order of pole = 5.626 x[1] = -0.9517 y[1] (analytic) = -1.1601116607020054043199314221986 y[1] (numeric) = -1.1601116607020054049150329884994 absolute error = 5.951015663008e-19 relative error = 5.1296921361922423897503039999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9624 Order of pole = 5.626 x[1] = -0.9516 y[1] (analytic) = -1.1604774342129336443825504231962 y[1] (numeric) = -1.1604774342129336449791823928988 absolute error = 5.966319697026e-19 relative error = 5.1412630018717383627144960000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9623 Order of pole = 5.626 x[1] = -0.9515 y[1] (analytic) = -1.1608433615071318283048583973179 y[1] (numeric) = -1.1608433615071318289030222184788 absolute error = 5.981638211609e-19 relative error = 5.1528383673082243331428750000005e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9622 Order of pole = 5.626 x[1] = -0.9514 y[1] (analytic) = -1.161209442665427911645033807424 y[1] (numeric) = -1.161209442665427912244730929622 absolute error = 5.996971221980e-19 relative error = 5.1644182363989527033931199999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9621 Order of pole = 5.626 x[1] = -0.9513 y[1] (analytic) = -1.1615756777687008347937927158406 y[1] (numeric) = -1.1615756777687008353950245901792 absolute error = 6.012318743386e-19 relative error = 5.1760026130498964213880420000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.962 Order of pole = 5.626 x[1] = -0.9512 y[1] (analytic) = -1.1619420668978805604987103598679 y[1] (numeric) = -1.1619420668978805611014784389764 absolute error = 6.027680791085e-19 relative error = 5.1875915011645360598348799999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9619 Order of pole = 5.626 x[1] = -0.9511 y[1] (analytic) = -1.1623086101339481114201089278784 y[1] (numeric) = -1.1623086101339481120244146659142 absolute error = 6.043057380358e-19 relative error = 5.1991849046541770013194980000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop memory used=95.3MB, alloc=4.4MB, time=6.49 Real estimate of pole used Radius of convergence = 0.9618 Order of pole = 5.626 x[1] = -0.951 y[1] (analytic) = -1.1626753075579356077185414125254 y[1] (numeric) = -1.1626753075579356083243862651753 absolute error = 6.058448526499e-19 relative error = 5.2107828274293252161490000000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9617 Order of pole = 5.626 x[1] = -0.9509 y[1] (analytic) = -1.1630421592509263046739014489988 y[1] (numeric) = -1.1630421592509263052812868734809 absolute error = 6.073854244821e-19 relative error = 5.2223852734048363605030090000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9616 Order of pole = 5.626 x[1] = -0.9508 y[1] (analytic) = -1.1634091652940546303361890777275 y[1] (numeric) = -1.1634091652940546309451165327931 absolute error = 6.089274550656e-19 relative error = 5.2339922464998978624798720000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9615 Order of pole = 5.626 x[1] = -0.9507 y[1] (analytic) = -1.1637763257685062232079624024225 y[1] (numeric) = -1.1637763257685062238184333483578 absolute error = 6.104709459353e-19 relative error = 5.2456037506362924792725790000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9614 Order of pole = 5.626 x[1] = -0.9506 y[1] (analytic) = -1.164143640755517969958505145885 y[1] (numeric) = -1.164143640755517970570521044513 absolute error = 6.120158986280e-19 relative error = 5.2572197897401011243164800000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9613 Order of pole = 5.626 x[1] = -0.9505 y[1] (analytic) = -1.1645111103363780431697401375742 y[1] (numeric) = -1.1645111103363780437833024522562 absolute error = 6.135623146820e-19 relative error = 5.2688403677382500776025000000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9612 Order of pole = 5.626 x[1] = -0.9504 y[1] (analytic) = -1.1648787345924259391139187985316 y[1] (numeric) = -1.1648787345924259397290289941692 absolute error = 6.151101956376e-19 relative error = 5.2804654885627908406640639999995e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9611 Order of pole = 5.626 x[1] = -0.9503 y[1] (analytic) = -1.1652465136050525155631167209025 y[1] (numeric) = -1.1652465136050525161797762639396 absolute error = 6.166595430371e-19 relative error = 5.2920951561508809365315170000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.961 Order of pole = 5.626 x[1] = -0.9502 y[1] (analytic) = -1.1656144474557000296305654709735 y[1] (numeric) = -1.1656144474557000302487758293975 absolute error = 6.182103584240e-19 relative error = 5.3037293744379013920339200000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9609 Order of pole = 5.626 x[1] = -0.9501 y[1] (analytic) = -1.1659825362258621756438507763545 y[1] (numeric) = -1.1659825362258621762636134196984 absolute error = 6.197626433439e-19 relative error = 5.3153681473651672136949389999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9608 Order of pole = 5.626 x[1] = -0.95 y[1] (analytic) = -1.1663507799970841230500072896924 y[1] (numeric) = -1.1663507799970841236713236890368 absolute error = 6.213163993444e-19 relative error = 5.3270114788790494999999999999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9607 Order of pole = 5.626 x[1] = -0.9499 y[1] (analytic) = -1.1667191788509625543525401530875 y[1] (numeric) = -1.1667191788509625549754117810621 absolute error = 6.228716279746e-19 relative error = 5.3386593729266707769812540000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9606 Order of pole = 5.626 x[1] = -0.9498 y[1] (analytic) = -1.1670877328691457030804036192079 y[1] (numeric) = -1.1670877328691457037048319499934 absolute error = 6.244283307855e-19 relative error = 5.3503118334593199715071600000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9605 Order of pole = 5.626 x[1] = -0.9497 y[1] (analytic) = -1.167456442133333391788967016962 y[1] (numeric) = -1.1674564421333333924149535262917 absolute error = 6.259865093297e-19 relative error = 5.3619688644298649599114810000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9604 Order of pole = 5.626 x[1] = -0.9496 y[1] (analytic) = -1.1678253067252770700929983814852 y[1] (numeric) = -1.1678253067252770707205445466472 absolute error = 6.275461651620e-19 relative error = 5.3736304697978766330163199999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9603 Order of pole = 5.626 x[1] = -0.9495 y[1] (analytic) = -1.1681943267267798527316961001354 y[1] (numeric) = -1.1681943267267798533608033999742 absolute error = 6.291072998388e-19 relative error = 5.3852966535244709716514999999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9602 Order of pole = 5.626 x[1] = -0.9494 y[1] (analytic) = -1.1685635022196965576657989581614 y[1] (numeric) = -1.1685635022196965582964688730796 absolute error = 6.306699149182e-19 relative error = 5.3969674195731511355086879999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9601 Order of pole = 5.626 x[1] = -0.9493 y[1] (analytic) = -1.1689328332859337442068049997206 y[1] (numeric) = -1.1689328332859337448390390116808 absolute error = 6.322340119602e-19 relative error = 5.4086427719115034226695140000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.96 Order of pole = 5.626 x[1] = -0.9492 y[1] (analytic) = -1.1693023200074497511783296519681 y[1] (numeric) = -1.1693023200074497518121292444947 absolute error = 6.337995925266e-19 relative error = 5.4203227145103243654478080000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9599 Order of pole = 5.626 x[1] = -0.9491 y[1] (analytic) = -1.1696719624662547351096335920234 y[1] (numeric) = -1.1696719624662547357450002502044 absolute error = 6.353666581810e-19 relative error = 5.4320072513436044027455100000004e-17 % h = 0.0001 TOP MAIN SOLVE Loop memory used=99.1MB, alloc=4.4MB, time=6.76 Real estimate of pole used Radius of convergence = 0.9598 Order of pole = 5.626 x[1] = -0.949 y[1] (analytic) = -1.170041760744410708461350868743 y[1] (numeric) = -1.1700417607444107090982860792317 absolute error = 6.369352104887e-19 relative error = 5.4436963863876568955629999999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9597 Order of pole = 5.626 x[1] = -0.9489 y[1] (analytic) = -1.1704117149240315778834478233831 y[1] (numeric) = -1.1704117149240315785219530744003 absolute error = 6.385052510172e-19 relative error = 5.4553901236253751781030679999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9596 Order of pole = 5.626 x[1] = -0.9488 y[1] (analytic) = -1.1707818250872831825054433854371 y[1] (numeric) = -1.1707818250872831831455201667725 absolute error = 6.400767813354e-19 relative error = 5.4670884670393778273402879999995e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9595 Order of pole = 5.626 x[1] = -0.9487 y[1] (analytic) = -1.1711520913163833322589213521592 y[1] (numeric) = -1.1711520913163833329005711551735 absolute error = 6.416498030143e-19 relative error = 5.4787914206179748122853289999996e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9594 Order of pole = 5.626 x[1] = -0.9486 y[1] (analytic) = -1.1715225136936018462323652925623 y[1] (numeric) = -1.1715225136936018468755896101888 absolute error = 6.432243176265e-19 relative error = 5.4904989883508792331188399999997e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9593 Order of pole = 5.626 x[1] = -0.9485 y[1] (analytic) = -1.1718930923012605910583467489811 y[1] (numeric) = -1.1718930923012605917031470757277 absolute error = 6.448003267466e-19 relative error = 5.5022111742326070555272500000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9592 Order of pole = 5.626 x[1] = -0.9484 y[1] (analytic) = -1.1722638272217335193330974416406 y[1] (numeric) = -1.1722638272217335199794752735914 absolute error = 6.463778319508e-19 relative error = 5.5139279822590459776632320000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9591 Order of pole = 5.626 x[1] = -0.9483 y[1] (analytic) = -1.1726347185374467080684962140495 y[1] (numeric) = -1.1726347185374467087164530488668 absolute error = 6.479568348173e-19 relative error = 5.5256494164308530315905509999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.959 Order of pole = 5.626 x[1] = -0.9482 y[1] (analytic) = -1.1730057663308783971765014894619 y[1] (numeric) = -1.1730057663308783978260388263883 absolute error = 6.495373369264e-19 relative error = 5.5373754807542881902283520000005e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9589 Order of pole = 5.626 x[1] = -0.9481 y[1] (analytic) = -1.173376970684559027986060041107 y[1] (numeric) = -1.1733769706845590286371793809664 absolute error = 6.511193398594e-19 relative error = 5.5491061792318194789127540000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9588 Order of pole = 5.626 x[1] = -0.948 y[1] (analytic) = -1.1737483316810712817925229113796 y[1] (numeric) = -1.1737483316810712824452257565801 absolute error = 6.527028452005e-19 relative error = 5.5608415158783050409600000000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9587 Order of pole = 5.626 x[1] = -0.9479 y[1] (analytic) = -1.1741198494030501184395993477254 y[1] (numeric) = -1.1741198494030501190938872022603 absolute error = 6.542878545349e-19 relative error = 5.5725814947047798086794110000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9586 Order of pole = 5.626 x[1] = -0.9478 y[1] (analytic) = -1.174491523933182814933879655516 y[1] (numeric) = -1.1744915239331828155897540249662 absolute error = 6.558743694502e-19 relative error = 5.5843261197303701885307040000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9585 Order of pole = 5.626 x[1] = -0.9477 y[1] (analytic) = -1.1748633553542090040919579008269 y[1] (numeric) = -1.1748633553542090047494202923623 absolute error = 6.574623915354e-19 relative error = 5.5960753949737582099688820000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9584 Order of pole = 5.626 x[1] = -0.9476 y[1] (analytic) = -1.1752353437489207132201854286717 y[1] (numeric) = -1.1752353437489207138792373510533 absolute error = 6.590519223816e-19 relative error = 5.6078293244591270454236159999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9583 Order of pole = 5.626 x[1] = -0.9475 y[1] (analytic) = -1.175607489200162402827086194935 y[1] (numeric) = -1.1756074892001624034877291585168 absolute error = 6.606429635818e-19 relative error = 5.6195879122144396109687499999997e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9582 Order of pole = 5.626 x[1] = -0.9474 y[1] (analytic) = -1.1759797917908310053684649429673 y[1] (numeric) = -1.1759797917908310060307004596981 absolute error = 6.622355167308e-19 relative error = 5.6313511622705707693225919999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9581 Order of pole = 5.626 x[1] = -0.9473 y[1] (analytic) = -1.1763522516038759640252392885656 y[1] (numeric) = -1.1763522516038759646890688719906 absolute error = 6.638295834250e-19 relative error = 5.6431190786595910770822500000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.958 Order of pole = 5.626 x[1] = -0.9472 y[1] (analytic) = -1.1767248687222992715140268098632 y[1] (numeric) = -1.1767248687222992721794519751261 absolute error = 6.654251652629e-19 relative error = 5.6548916654190024898641919999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9579 Order of pole = 5.626 x[1] = -0.9471 y[1] (analytic) = -1.1770976432291555089305182714884 y[1] (numeric) = -1.1770976432291555095975405353333 absolute error = 6.670222638449e-19 relative error = 5.6666689265900191749738390000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop memory used=102.9MB, alloc=4.4MB, time=7.03 Real estimate of pole used Radius of convergence = 0.9578 Order of pole = 5.626 x[1] = -0.947 y[1] (analytic) = -1.1774705752075518846256681452278 y[1] (numeric) = -1.1774705752075518852942890260009 absolute error = 6.686208807731e-19 relative error = 5.6784508662158515689130000000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9577 Order of pole = 5.626 x[1] = -0.9469 y[1] (analytic) = -1.1778436647406482731147336223413 y[1] (numeric) = -1.1778436647406482737849546399929 absolute error = 6.702210176516e-19 relative error = 5.6902374883442387228778440000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9576 Order of pole = 5.626 x[1] = -0.9468 y[1] (analytic) = -1.1782169119116572540191933456292 y[1] (numeric) = -1.1782169119116572546910160217154 absolute error = 6.718226760862e-19 relative error = 5.7020287970248833786819840000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9575 Order of pole = 5.626 x[1] = -0.9467 y[1] (analytic) = -1.1785903168038441510415771223404 y[1] (numeric) = -1.1785903168038441517150029800251 absolute error = 6.734258576847e-19 relative error = 5.7138247963119827275148610000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9574 Order of pole = 5.626 x[1] = -0.9466 y[1] (analytic) = -1.1789638795005270709732379120399 y[1] (numeric) = -1.1789638795005270716482684760966 absolute error = 6.750305640567e-19 relative error = 5.7256254902625133300366319999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9573 Order of pole = 5.626 x[1] = -0.9465 y[1] (analytic) = -1.1793376000850769427350974166182 y[1] (numeric) = -1.179337600085076943411734213432 absolute error = 6.766367968138e-19 relative error = 5.7374308829379110115082499999997e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9572 Order of pole = 5.626 x[1] = -0.9464 y[1] (analytic) = -1.1797114786409175564513966327331 y[1] (numeric) = -1.1797114786409175571296411903026 absolute error = 6.782445575695e-19 relative error = 5.7492409784032045508940800000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9571 Order of pole = 5.626 x[1] = -0.9463 y[1] (analytic) = -1.1800855152515256025564827601155 y[1] (numeric) = -1.1800855152515256032363366080542 absolute error = 6.798538479387e-19 relative error = 5.7610557807227614122457890000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.957 Order of pole = 5.626 x[1] = -0.9462 y[1] (analytic) = -1.1804597100004307109346638923523 y[1] (numeric) = -1.180459710000430711616128561891 absolute error = 6.814646695387e-19 relative error = 5.7728752939687484628225359999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9569 Order of pole = 5.626 x[1] = -0.9461 y[1] (analytic) = -1.1808340629712154900931629499832 y[1] (numeric) = -1.1808340629712154907762399739718 absolute error = 6.830770239886e-19 relative error = 5.7846995222160268429733659999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9567 Order of pole = 5.626 x[1] = -0.946 y[1] (analytic) = -1.1812085742475155663682023490042 y[1] (numeric) = -1.1812085742475155670528932619136 absolute error = 6.846909129094e-19 relative error = 5.7965284695429826543840000000004e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9566 Order of pole = 5.626 x[1] = -0.9459 y[1] (analytic) = -1.1815832439130196231642509311699 y[1] (numeric) = -1.1815832439130196238505572690933 absolute error = 6.863063379234e-19 relative error = 5.8083621400264317964024860000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9565 Order of pole = 5.626 x[1] = -0.9458 y[1] (analytic) = -1.1819580720514694402264647158211 y[1] (numeric) = -1.1819580720514694409143880164769 absolute error = 6.879233006558e-19 relative error = 5.8202005377551476600228960000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9564 Order of pole = 5.626 x[1] = -0.9457 y[1] (analytic) = -1.1823330587466599329463530663456 y[1] (numeric) = -1.1823330587466599336358948690783 absolute error = 6.895418027327e-19 relative error = 5.8320436668129147978177109999996e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9563 Order of pole = 5.626 x[1] = -0.9456 y[1] (analytic) = -1.1827082040824391917007018977845 y[1] (numeric) = -1.1827082040824391923918637435675 absolute error = 6.911618457830e-19 relative error = 5.8438915312945899762892800000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9562 Order of pole = 5.626 x[1] = -0.9455 y[1] (analytic) = -1.1830835081427085212237855855604 y[1] (numeric) = -1.1830835081427085219165690169973 absolute error = 6.927834314369e-19 relative error = 5.8557441352933941952873750000005e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9561 Order of pole = 5.626 x[1] = -0.9454 y[1] (analytic) = -1.183458971011422480012899268786 y[1] (numeric) = -1.1834589710114224807073058301123 absolute error = 6.944065613263e-19 relative error = 5.8676014829042834974106319999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.956 Order of pole = 5.626 x[1] = -0.9453 y[1] (analytic) = -1.1838345927725889197672432751484 y[1] (numeric) = -1.1838345927725889204632745122342 absolute error = 6.960312370858e-19 relative error = 5.8794635782323816275868659999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9559 Order of pole = 5.626 x[1] = -0.9452 y[1] (analytic) = -1.184210373510269024860191427935 y[1] (numeric) = -1.1842103735102690255578488882863 absolute error = 6.976574603513e-19 relative error = 5.8913304253811299529223040000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9558 Order of pole = 5.626 x[1] = -0.9451 y[1] (analytic) = -1.1845863133085773518449750293705 y[1] (numeric) = -1.1845863133085773525442602621312 absolute error = 6.992852327607e-19 relative error = 5.9032020284581876227135570000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop memory used=106.8MB, alloc=4.4MB, time=7.29 Real estimate of pole used Radius of convergence = 0.9557 Order of pole = 5.626 x[1] = -0.945 y[1] (analytic) = -1.1849624122516818689938143480878 y[1] (numeric) = -1.1849624122516818696947289040416 absolute error = 7.009145559538e-19 relative error = 5.9150783915745692152499999999997e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9556 Order of pole = 5.626 x[1] = -0.9449 y[1] (analytic) = -1.1853386704238039958705294722411 y[1] (numeric) = -1.1853386704238039965730749038137 absolute error = 7.025454315726e-19 relative error = 5.9269595188471585699213739999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9555 Order of pole = 5.626 x[1] = -0.9448 y[1] (analytic) = -1.1857150879092186429366624234968 y[1] (numeric) = -1.1857150879092186436408402847575 absolute error = 7.041778612607e-19 relative error = 5.9388454143936274564029440000004e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9554 Order of pole = 5.626 x[1] = -0.9447 y[1] (analytic) = -1.1860916647922542511911424609018 y[1] (numeric) = -1.1860916647922542518969543075652 absolute error = 7.058118466634e-19 relative error = 5.9507360823332656362509819999996e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9553 Order of pole = 5.626 x[1] = -0.9446 y[1] (analytic) = -1.1864684011572928318435265374349 y[1] (numeric) = -1.1864684011572928325509739268635 absolute error = 7.074473894286e-19 relative error = 5.9626315267945520294652959999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9552 Order of pole = 5.626 x[1] = -0.9445 y[1] (analytic) = -1.1868452970887700060208469058953 y[1] (numeric) = -1.1868452970887700067299313971008 absolute error = 7.090844912055e-19 relative error = 5.9745317519041749047868749999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9551 Order of pole = 5.626 x[1] = -0.9444 y[1] (analytic) = -1.187222352671175044508097904658 y[1] (numeric) = -1.1872223526711750452188210583037 absolute error = 7.107231536457e-19 relative error = 5.9864367617962882153994880000004e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.955 Order of pole = 5.626 x[1] = -0.9443 y[1] (analytic) = -1.1875995679890509075223939877584 y[1] (numeric) = -1.1875995679890509082347573661606 absolute error = 7.123633784022e-19 relative error = 5.9983465606040675582367540000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9549 Order of pole = 5.626 x[1] = -0.9442 y[1] (analytic) = -1.1879769431269942845208310977237 y[1] (numeric) = -1.1879769431269942852348362648539 absolute error = 7.140051671302e-19 relative error = 6.0102611524664340098721759999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9548 Order of pole = 5.626 x[1] = -0.9441 y[1] (analytic) = -1.1883544781696556340420835135776 y[1] (numeric) = -1.1883544781696556347577320350647 absolute error = 7.156485214871e-19 relative error = 6.0221805415280331378623909999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9547 Order of pole = 5.626 x[1] = -0.944 y[1] (analytic) = -1.1887321732017392235817683404827 y[1] (numeric) = -1.1887321732017392242990617836145 absolute error = 7.172934431318e-19 relative error = 6.0341047319333254021120000000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9546 Order of pole = 5.626 x[1] = -0.9439 y[1] (analytic) = -1.1891100283080031695016098415682 y[1] (numeric) = -1.1891100283080031702205497752935 absolute error = 7.189399337253e-19 relative error = 6.0460337278316203459973069999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9545 Order of pole = 5.626 x[1] = -0.9438 y[1] (analytic) = -1.1894880435732594769724358466121 y[1] (numeric) = -1.1894880435732594776930238415428 absolute error = 7.205879949307e-19 relative error = 6.0579675333770569901393040000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9544 Order of pole = 5.626 x[1] = -0.9437 y[1] (analytic) = -1.1898662190823740799510385064103 y[1] (numeric) = -1.1898662190823740806732761348229 absolute error = 7.222376284126e-19 relative error = 6.0699061527235416583250780000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9543 Order of pole = 5.626 x[1] = -0.9436 y[1] (analytic) = -1.1902445549202668811909316958613 y[1] (numeric) = -1.1902445549202668819148205316992 absolute error = 7.238888358379e-19 relative error = 6.0818495900314577250394239999997e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9542 Order of pole = 5.626 x[1] = -0.9435 y[1] (analytic) = -1.190623051171911792287037403042 y[1] (numeric) = -1.1906230511719117930125790219176 absolute error = 7.255416188756e-19 relative error = 6.0937978494659635897335000000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9541 Order of pole = 5.626 x[1] = -0.9434 y[1] (analytic) = -1.1910017079223367737543334758286 y[1] (numeric) = -1.1910017079223367744815294550247 absolute error = 7.271959791961e-19 relative error = 6.1057509351910957261863439999996e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.954 Order of pole = 5.626 x[1] = -0.9433 y[1] (analytic) = -1.1913805252566238751404951319346 y[1] (numeric) = -1.1913805252566238758693470504068 absolute error = 7.288519184722e-19 relative error = 6.1177088513781521211101139999996e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9539 Order of pole = 5.626 x[1] = -0.9432 y[1] (analytic) = -1.1917595032599092751725626726057 y[1] (numeric) = -1.1917595032599092759030721109843 absolute error = 7.305094383786e-19 relative error = 6.1296716022014732756244480000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9538 Order of pole = 5.626 x[1] = -0.9431 y[1] (analytic) = -1.1921386420173833219376678746061 y[1] (numeric) = -1.1921386420173833226698364151977 absolute error = 7.321685405916e-19 relative error = 6.1416391918359088881067559999997e-17 % h = 0.0001 TOP MAIN SOLVE Loop memory used=110.6MB, alloc=4.4MB, time=7.56 Real estimate of pole used Radius of convergence = 0.9537 Order of pole = 5.626 x[1] = -0.943 y[1] (analytic) = -1.1925179416142905730978515695743 y[1] (numeric) = -1.1925179416142905738316807963643 absolute error = 7.338292267900e-19 relative error = 6.1536116244643520952999999999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9536 Order of pole = 5.626 x[1] = -0.9429 y[1] (analytic) = -1.1928974021359298361390049543105 y[1] (numeric) = -1.1928974021359298368744964529647 absolute error = 7.354914986542e-19 relative error = 6.1655889042701700095932380000007e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9535 Order of pole = 5.626 x[1] = -0.9428 y[1] (analytic) = -1.1932770236676542086539672100746 y[1] (numeric) = -1.1932770236676542093911225679409 absolute error = 7.371553578663e-19 relative error = 6.1775710354380289604645759999997e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9534 Order of pole = 5.626 x[1] = -0.9427 y[1] (analytic) = -1.1936568062948711186598120435373 y[1] (numeric) = -1.1936568062948711193986328496485 absolute error = 7.388208061112e-19 relative error = 6.1895580221630957650610959999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9533 Order of pole = 5.626 x[1] = -0.9426 y[1] (analytic) = -1.1940367501030423649493557966344 y[1] (numeric) = -1.1940367501030423656898436417095 absolute error = 7.404878450751e-19 relative error = 6.2015498686384465429427760000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9532 Order of pole = 5.626 x[1] = -0.9425 y[1] (analytic) = -1.1944168551776841574769198072069 y[1] (numeric) = -1.1944168551776841582190762836531 absolute error = 7.421564764462e-19 relative error = 6.2135465790609185694687500000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9531 Order of pole = 5.626 x[1] = -0.9424 y[1] (analytic) = -1.1947971216043671577783797370013 y[1] (numeric) = -1.1947971216043671585222064389162 absolute error = 7.438267019149e-19 relative error = 6.2255481576327661358325760000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.953 Order of pole = 5.626 x[1] = -0.9423 y[1] (analytic) = -1.1951775494687165194255346183249 y[1] (numeric) = -1.1951775494687165201710331414985 absolute error = 7.454985231736e-19 relative error = 6.2375546085599664440727120000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9529 Order of pole = 5.626 x[1] = -0.9422 y[1] (analytic) = -1.1955581388564119285148284054142 y[1] (numeric) = -1.1955581388564119292620003473306 absolute error = 7.471719419164e-19 relative error = 6.2495659360496922855014720000004e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9528 Order of pole = 5.626 x[1] = -0.9421 y[1] (analytic) = -1.1959388898531876441904568513807 y[1] (numeric) = -1.1959388898531876449393038112203 absolute error = 7.488469598396e-19 relative error = 6.2615821443144788323605560000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9527 Order of pole = 5.626 x[1] = -0.942 y[1] (analytic) = -1.196319802544832539201892566443 y[1] (numeric) = -1.1963198025448325399524161450843 absolute error = 7.505235786413e-19 relative error = 6.2736032375688593827439999999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9526 Order of pole = 5.626 x[1] = -0.9419 y[1] (analytic) = -1.1967008770171901404958611480402 y[1] (numeric) = -1.1967008770171901412480629480622 absolute error = 7.522018000220e-19 relative error = 6.2856292200343638175529800000005e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9525 Order of pole = 5.626 x[1] = -0.9418 y[1] (analytic) = -1.1970821133561586698428013083506 y[1] (numeric) = -1.1970821133561586705966829340341 absolute error = 7.538816256835e-19 relative error = 6.2976600959303062922897200000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9524 Order of pole = 5.626 x[1] = -0.9417 y[1] (analytic) = -1.197463511647691084497841959701 y[1] (numeric) = -1.1974635116476910852534050170312 absolute error = 7.555630573302e-19 relative error = 6.3096958694846328719923259999993e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9523 Order of pole = 5.626 x[1] = -0.9416 y[1] (analytic) = -1.1978450719777951178963292533696 y[1] (numeric) = -1.1978450719777951186535753500381 absolute error = 7.572460966685e-19 relative error = 6.3217365449288866086937600000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9522 Order of pole = 5.626 x[1] = -0.9415 y[1] (analytic) = -1.1982267944325333203839366023284 y[1] (numeric) = -1.1982267944325333211428673477345 absolute error = 7.589307454061e-19 relative error = 6.3337821264923476467008749999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9521 Order of pole = 5.626 x[1] = -0.9414 y[1] (analytic) = -1.1986086790980230999813907535598 y[1] (numeric) = -1.1986086790980231007420077588133 absolute error = 7.606170052535e-19 relative error = 6.3458326184145391248080400000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.952 Order of pole = 5.626 x[1] = -0.9413 y[1] (analytic) = -1.1989907260604367631838470107227 y[1] (numeric) = -1.1989907260604367639461518886454 absolute error = 7.623048779227e-19 relative error = 6.3578880249343561870783190000004e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9519 Order of pole = 5.626 x[1] = -0.9412 y[1] (analytic) = -1.1993729354060015557949467431044 y[1] (numeric) = -1.1993729354060015565589411082322 absolute error = 7.639943651278e-19 relative error = 6.3699483502950573579907840000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9518 Order of pole = 5.626 x[1] = -0.9411 y[1] (analytic) = -1.1997553072209997037955903520162 y[1] (numeric) = -1.1997553072209997045612758206013 absolute error = 7.656854685851e-19 relative error = 6.3820135987450788455298810000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop memory used=114.4MB, alloc=4.4MB, time=7.82 Real estimate of pole used Radius of convergence = 0.9517 Order of pole = 5.626 x[1] = -0.941 y[1] (analytic) = -1.2001378415917684542474589010426 y[1] (numeric) = -1.2001378415917684550148370910554 absolute error = 7.673781900128e-19 relative error = 6.3940837745355143154879999999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9516 Order of pole = 5.626 x[1] = -0.9409 y[1] (analytic) = -1.2005205386047001162313176518489 y[1] (numeric) = -1.2005205386047001170003901829799 absolute error = 7.690725311310e-19 relative error = 6.4061588819200983794469899999997e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9515 Order of pole = 5.626 x[1] = -0.9408 y[1] (analytic) = -1.2009033983462421018201347825909 y[1] (numeric) = -1.2009033983462421025909032762529 absolute error = 7.707684936620e-19 relative error = 6.4182389251576882161254400000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9514 Order of pole = 5.626 x[1] = -0.9407 y[1] (analytic) = -1.2012864209028969670870486013488 y[1] (numeric) = -1.2012864209028969678595146806786 absolute error = 7.724660793298e-19 relative error = 6.4303239085080809001576139999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9513 Order of pole = 5.626 x[1] = -0.9406 y[1] (analytic) = -1.201669606361222453148216602425 y[1] (numeric) = -1.201669606361222453922381892286 absolute error = 7.741652898610e-19 relative error = 6.4424138362394891677717600000006e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9512 Order of pole = 5.626 x[1] = -0.9405 y[1] (analytic) = -1.2020529548078315272405797488119 y[1] (numeric) = -1.2020529548078315280164458757951 absolute error = 7.758661269832e-19 relative error = 6.4545087126152051110889999999997e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9511 Order of pole = 5.626 x[1] = -0.9404 y[1] (analytic) = -1.2024364663293924238345753996302 y[1] (numeric) = -1.2024364663293924246121439920575 absolute error = 7.775685924273e-19 relative error = 6.4666085419127235104910719999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.951 Order of pole = 5.626 x[1] = -0.9403 y[1] (analytic) = -1.2028201410126286857818323368946 y[1] (numeric) = -1.20282014101262868656110502482 absolute error = 7.792726879254e-19 relative error = 6.4787133284062478673650579999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9509 Order of pole = 5.626 x[1] = -0.9402 y[1] (analytic) = -1.2032039789443192054978813815361 y[1] (numeric) = -1.2032039789443192062788597967478 absolute error = 7.809784152117e-19 relative error = 6.4908230763741633087345359999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9508 Order of pole = 5.626 x[1] = -0.9401 y[1] (analytic) = -1.2035879802112982661799151242489 y[1] (numeric) = -1.2035879802112982669626009002715 absolute error = 7.826857760226e-19 relative error = 6.5029377900998483882134259999995e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9507 Order of pole = 5.626 x[1] = -0.94 y[1] (analytic) = -1.2039721449004555830596303323926 y[1] (numeric) = -1.2039721449004555838440251044893 absolute error = 7.843947720967e-19 relative error = 6.5150574738716547280000000000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9506 Order of pole = 5.626 x[1] = -0.9399 y[1] (analytic) = -1.2043564730987363446911866298955 y[1] (numeric) = -1.2043564730987363454772920350695 absolute error = 7.861054051740e-19 relative error = 6.5271821319762441258162599999997e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9505 Order of pole = 5.626 x[1] = -0.9398 y[1] (analytic) = -1.2047409648931412542743150828522 y[1] (numeric) = -1.2047409648931412550621327598496 absolute error = 7.878176769974e-19 relative error = 6.5393117687110296390674080000004e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9504 Order of pole = 5.626 x[1] = -0.9397 y[1] (analytic) = -1.2051256203707265710126103593121 y[1] (numeric) = -1.2051256203707265718021419486232 absolute error = 7.895315893111e-19 relative error = 6.5514463883708693748178030000006e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9503 Order of pole = 5.626 x[1] = -0.9396 y[1] (analytic) = -1.2055104396186041515070401675813 y[1] (numeric) = -1.205510439618604152298287311443 absolute error = 7.912471438617e-19 relative error = 6.5635859952571828824789120000005e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9502 Order of pole = 5.626 x[1] = -0.9395 y[1] (analytic) = -1.2058954227239414911847057132486 y[1] (numeric) = -1.2058954227239414919776700556464 absolute error = 7.929643423978e-19 relative error = 6.5757305936746111872927500000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9501 Order of pole = 5.626 x[1] = -0.9394 y[1] (analytic) = -1.2062805697739617657628869510608 y[1] (numeric) = -1.2062805697739617665575701377308 absolute error = 7.946831866700e-19 relative error = 6.5878801879309991746327999999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.95 Order of pole = 5.626 x[1] = -0.9393 y[1] (analytic) = -1.2066658808559438727484064437377 y[1] (numeric) = -1.2066658808559438735448101221688 absolute error = 7.964036784311e-19 relative error = 6.6000347823390354487611269999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9499 Order of pole = 5.626 x[1] = -0.9392 y[1] (analytic) = -1.2070513560572224729723456758213 y[1] (numeric) = -1.2070513560572224737704714952571 absolute error = 7.981258194358e-19 relative error = 6.6121943812137467046871039999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9498 Order of pole = 5.626 x[1] = -0.9391 y[1] (analytic) = -1.2074369954651880321601477067006 y[1] (numeric) = -1.2074369954651880329599973181414 absolute error = 7.998496114408e-19 relative error = 6.6243589888733096815901679999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop memory used=118.2MB, alloc=4.4MB, time=8.08 Real estimate of pole used Radius of convergence = 0.9497 Order of pole = 5.626 x[1] = -0.939 y[1] (analytic) = -1.207822799167286862537140083043 y[1] (numeric) = -1.2078227991672868633387151392481 absolute error = 8.015750562051e-19 relative error = 6.6365286096415174149690000000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9496 Order of pole = 5.626 x[1] = -0.9389 y[1] (analytic) = -1.2082087672510211644695119669949 y[1] (numeric) = -1.2082087672510211652728141224843 absolute error = 8.033021554894e-19 relative error = 6.6487032478427916990228860000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9495 Order of pole = 5.626 x[1] = -0.9388 y[1] (analytic) = -1.208594899803949068140779472686 y[1] (numeric) = -1.2085948998039490689458103837428 absolute error = 8.050309110568e-19 relative error = 6.6608829078079613781928959999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9494 Order of pole = 5.626 x[1] = -0.9387 y[1] (analytic) = -1.2089811969136846752637732397918 y[1] (numeric) = -1.2089811969136846760705345644643 absolute error = 8.067613246725e-19 relative error = 6.6730675938717581199501750000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9493 Order of pole = 5.626 x[1] = -0.9386 y[1] (analytic) = -1.2093676586678981008281823091638 y[1] (numeric) = -1.2093676586678981016366757072671 absolute error = 8.084933981033e-19 relative error = 6.6852573103686632066830479999997e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9492 Order of pole = 5.626 x[1] = -0.9385 y[1] (analytic) = -1.2097542851543155148836884018388 y[1] (numeric) = -1.2097542851543155156939155349575 absolute error = 8.102271331187e-19 relative error = 6.6974520616419880973588750000004e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9491 Order of pole = 5.626 x[1] = -0.9384 y[1] (analytic) = -1.2101410764607191843587247390861 y[1] (numeric) = -1.2101410764607191851706872705758 absolute error = 8.119625314897e-19 relative error = 6.7096518520339315144442880000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.949 Order of pole = 5.626 x[1] = -0.9383 y[1] (analytic) = -1.21052803267494751491489357753 y[1] (numeric) = -1.2105280326749475157285931725198 absolute error = 8.136995949898e-19 relative error = 6.7218566858938294575915260000004e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9489 Order of pole = 5.626 x[1] = -0.9382 y[1] (analytic) = -1.2109151538848950928370766698241 y[1] (numeric) = -1.2109151538848950936525149952184 absolute error = 8.154383253943e-19 relative error = 6.7340665675723504134868240000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9488 Order of pole = 5.626 x[1] = -0.9381 y[1] (analytic) = -1.2113024401785127269592728978153 y[1] (numeric) = -1.2113024401785127277764516222961 absolute error = 8.171787244808e-19 relative error = 6.7462815014256083661035279999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9487 Order of pole = 5.626 x[1] = -0.938 y[1] (analytic) = -1.2116898916438074906261973616586 y[1] (numeric) = -1.2116898916438074914451181556875 absolute error = 8.189207940289e-19 relative error = 6.7585014918126655512080000000004e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9486 Order of pole = 5.626 x[1] = -0.9379 y[1] (analytic) = -1.2120775083688427636906762448955 y[1] (numeric) = -1.2120775083688427645113407807157 absolute error = 8.206645358202e-19 relative error = 6.7707265430955150680436780000006e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9485 Order of pole = 5.626 x[1] = -0.9378 y[1] (analytic) = -1.2124652904417382745468718121106 y[1] (numeric) = -1.212465290441738275369281763749 absolute error = 8.224099516384e-19 relative error = 6.7829566596398882716423680000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9484 Order of pole = 5.626 x[1] = -0.9377 y[1] (analytic) = -1.2128532379506701421993719324254 y[1] (numeric) = -1.2128532379506701430235289756949 absolute error = 8.241570432695e-19 relative error = 6.7951918458168850990709350000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9483 Order of pole = 5.626 x[1] = -0.9376 y[1] (analytic) = -1.2132413509838709183681785587736 y[1] (numeric) = -1.2132413509838709191940843712749 absolute error = 8.259058125013e-19 relative error = 6.8074321059988315780218879999997e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9482 Order of pole = 5.626 x[1] = -0.9375 y[1] (analytic) = -1.2136296296296296296296296296297 y[1] (numeric) = -1.2136296296296296304572858907537 absolute error = 8.276562611240e-19 relative error = 6.8196774445642089843749999999996e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9481 Order of pole = 5.626 x[1] = -0.9374 y[1] (analytic) = -1.2140180739762918195932888966384 y[1] (numeric) = -1.2140180739762918204226972875682 absolute error = 8.294083909298e-19 relative error = 6.8319278658943364119719519999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.948 Order of pole = 5.626 x[1] = -0.9373 y[1] (analytic) = -1.2144066841122595911148382184047 y[1] (numeric) = -1.2144066841122595919460004221175 absolute error = 8.311622037128e-19 relative error = 6.8441833743725300287279760000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9479 Order of pole = 5.626 x[1] = -0.9372 y[1] (analytic) = -1.2147954601259916485450068975648 y[1] (numeric) = -1.214795460125991649377924598834 absolute error = 8.329177012692e-19 relative error = 6.8564439743857334801948159999994e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9477 Order of pole = 5.626 x[1] = -0.9371 y[1] (analytic) = -1.2151844021060033400145726751589 y[1] (numeric) = -1.2151844021060033408492475605568 absolute error = 8.346748853979e-19 relative error = 6.8687096703294368267859689999997e-17 % h = 0.0001 TOP MAIN SOLVE Loop memory used=122.0MB, alloc=4.4MB, time=8.34 Real estimate of pole used Radius of convergence = 0.9476 Order of pole = 5.626 x[1] = -0.937 y[1] (analytic) = -1.2155735101408666997554690332752 y[1] (numeric) = -1.2155735101408667005919027911744 absolute error = 8.364337578992e-19 relative error = 6.8809804665969555313759999999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9475 Order of pole = 5.626 x[1] = -0.9369 y[1] (analytic) = -1.215962784319210490458033493917 y[1] (numeric) = -1.2159627843192104912962278144929 absolute error = 8.381943205759e-19 relative error = 6.8932563675884674559654310000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9474 Order of pole = 5.626 x[1] = -0.9368 y[1] (analytic) = -1.216352224729720245664431639084 y[1] (numeric) = -1.2163522247297202465043882143168 absolute error = 8.399565752328e-19 relative error = 6.9055373777068784052264960000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9473 Order of pole = 5.626 x[1] = -0.9367 y[1] (analytic) = -1.2167418314611383121982916141289 y[1] (numeric) = -1.2167418314611383130400121378056 absolute error = 8.417205236767e-19 relative error = 6.9178235013578049216409209999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9472 Order of pole = 5.626 x[1] = -0.9366 y[1] (analytic) = -1.2171316046022638926305839135727 y[1] (numeric) = -1.2171316046022638934740700812896 absolute error = 8.434861677169e-19 relative error = 6.9301147429536651145344240000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9471 Order of pole = 5.626 x[1] = -0.9365 y[1] (analytic) = -1.2175215442419530877817812857243 y[1] (numeric) = -1.2175215442419530886270347948887 absolute error = 8.452535091644e-19 relative error = 6.9424111069070841805435000000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.947 Order of pole = 5.626 x[1] = -0.9364 y[1] (analytic) = -1.2179116504691189392603336296541 y[1] (numeric) = -1.2179116504691189401073561794867 absolute error = 8.470225498326e-19 relative error = 6.9547125976366287352093440000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9469 Order of pole = 5.626 x[1] = -0.9363 y[1] (analytic) = -1.2183019233727314720374927953255 y[1] (numeric) = -1.2183019233727314728862860868624 absolute error = 8.487932915369e-19 relative error = 6.9670192195635011491142429999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9468 Order of pole = 5.626 x[1] = -0.9362 y[1] (analytic) = -1.2186923630418177370585222349778 y[1] (numeric) = -1.2186923630418177379090879710728 absolute error = 8.505657360950e-19 relative error = 6.9793309771139840747116000000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9467 Order of pole = 5.626 x[1] = -0.9361 y[1] (analytic) = -1.2190829695654618538903264911959 y[1] (numeric) = -1.2190829695654618547426663765224 absolute error = 8.523398853265e-19 relative error = 6.9916478747161382344064650000004e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9466 Order of pole = 5.626 x[1] = -0.936 y[1] (analytic) = -1.2194737430328050534055355444793 y[1] (numeric) = -1.2194737430328050542596512855324 absolute error = 8.541157410531e-19 relative error = 7.0039699168014266895359999999996e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9465 Order of pole = 5.626 x[1] = -0.9359 y[1] (analytic) = -1.2198646835330457205030790805517 y[1] (numeric) = -1.2198646835330457213589723856509 absolute error = 8.558933050992e-19 relative error = 7.0162971078096150217867679999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9464 Order of pole = 5.626 x[1] = -0.9358 y[1] (analytic) = -1.220255791155439436865285775123 y[1] (numeric) = -1.2202557911554394377229583544136 absolute error = 8.576725792906e-19 relative error = 7.0286294521780915654090720000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9463 Order of pole = 5.626 x[1] = -0.9357 y[1] (analytic) = -1.2206470659892990237515427313235 y[1] (numeric) = -1.2206470659892990246109962967791 absolute error = 8.594535654556e-19 relative error = 7.0409669543508698526169079999996e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9462 Order of pole = 5.626 x[1] = -0.9356 y[1] (analytic) = -1.2210385081239945848285502425937 y[1] (numeric) = -1.2210385081239945856897865080187 absolute error = 8.612362654250e-19 relative error = 7.0533096187785650099680000000005e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9461 Order of pole = 5.626 x[1] = -0.9355 y[1] (analytic) = -1.2214301176489535490372070914142 y[1] (numeric) = -1.2214301176489535499002277724451 absolute error = 8.630206810309e-19 relative error = 7.0656574499085456246373750000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.946 Order of pole = 5.626 x[1] = -0.9354 y[1] (analytic) = -1.2218218946536607134961616319001 y[1] (numeric) = -1.2218218946536607143609684460084 absolute error = 8.648068141083e-19 relative error = 7.0780104521980211280147119999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9459 Order of pole = 5.626 x[1] = -0.9353 y[1] (analytic) = -1.2222138392276582864420639419847 y[1] (numeric) = -1.2222138392276582873086586084789 absolute error = 8.665946664942e-19 relative error = 7.0903686301066493057663340000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9458 Order of pole = 5.626 x[1] = -0.9352 y[1] (analytic) = -1.2226059514605459302065543686436 y[1] (numeric) = -1.222605951460545931074938608671 absolute error = 8.683842400274e-19 relative error = 7.1027319880948834752849920000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9457 Order of pole = 5.626 x[1] = -0.9351 y[1] (analytic) = -1.2229982314419808042300238273923 y[1] (numeric) = -1.2229982314419808051001993639417 absolute error = 8.701755365494e-19 relative error = 7.1151005306313171153671940000004e-17 % h = 0.0001 TOP MAIN SOLVE Loop memory used=125.8MB, alloc=4.4MB, time=8.60 Real estimate of pole used Radius of convergence = 0.9456 Order of pole = 5.626 x[1] = -0.935 y[1] (analytic) = -1.2233906792616776081121812551163 y[1] (numeric) = -1.2233906792616776089841498130196 absolute error = 8.719685579033e-19 relative error = 7.1274742621836663373749999999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9455 Order of pole = 5.626 x[1] = -0.9349 y[1] (analytic) = -1.2237832950094086246994636531557 y[1] (numeric) = -1.2237832950094086255732269590908 absolute error = 8.737633059351e-19 relative error = 7.1398531872293809999686990000004e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9454 Order of pole = 5.626 x[1] = -0.9348 y[1] (analytic) = -1.2241760787750037632093241954855 y[1] (numeric) = -1.2241760787750037640848839779775 absolute error = 8.755597824920e-19 relative error = 7.1522373102417291062246399999997e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9453 Order of pole = 5.626 x[1] = -0.9347 y[1] (analytic) = -1.2245690306483506023914339147811 y[1] (numeric) = -1.2245690306483506032687919042055 absolute error = 8.773579894244e-19 relative error = 7.1646266357061226714432120000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9452 Order of pole = 5.626 x[1] = -0.9346 y[1] (analytic) = -1.2249621507193944337258325171721 y[1] (numeric) = -1.2249621507193944346049904457562 absolute error = 8.791579285841e-19 relative error = 7.1770211681053907836519759999996e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9451 Order of pole = 5.626 x[1] = -0.9345 y[1] (analytic) = -1.2253554390781383046580639145209 y[1] (numeric) = -1.2253554390781383055390235163466 absolute error = 8.809596018257e-19 relative error = 7.1894209119311958580766250000007e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.945 Order of pole = 5.626 x[1] = -0.9344 y[1] (analytic) = -1.2257488958146430618713321011678 y[1] (numeric) = -1.225748895814643062754095112173 absolute error = 8.827630110052e-19 relative error = 7.2018258716725847187783680000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9449 Order of pole = 5.626 x[1] = -0.9343 y[1] (analytic) = -1.2261425210190273945957130402061 y[1] (numeric) = -1.2261425210190273954802811981877 absolute error = 8.845681579816e-19 relative error = 7.2142360518290286777643120000007e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9448 Order of pole = 5.626 x[1] = -0.9342 y[1] (analytic) = -1.2265363147814678779544582625475 y[1] (numeric) = -1.226536314781467878840833307163 absolute error = 8.863750446155e-19 relative error = 7.2266514568989793654496400000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9447 Order of pole = 5.626 x[1] = -0.9341 y[1] (analytic) = -1.2269302771921990163474259202488 y[1] (numeric) = -1.2269302771921990172356095930188 absolute error = 8.881836727700e-19 relative error = 7.2390720913871925460416999999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9446 Order of pole = 5.626 x[1] = -0.934 y[1] (analytic) = -1.2273244083415132868716750738552 y[1] (numeric) = -1.2273244083415132877616691181657 absolute error = 8.899940443105e-19 relative error = 7.2514979598030752249200000000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9445 Order of pole = 5.626 x[1] = -0.9339 y[1] (analytic) = -1.2277187083197611827792590318233 y[1] (numeric) = -1.2277187083197611836710651929275 absolute error = 8.918061611042e-19 relative error = 7.2639290666565923584681979999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9444 Order of pole = 5.626 x[1] = -0.9338 y[1] (analytic) = -1.228113177217351256972253598451 y[1] (numeric) = -1.2281131772173512578658736234718 absolute error = 8.936200250208e-19 relative error = 7.2763654164639525161141759999997e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9443 Order of pole = 5.626 x[1] = -0.9337 y[1] (analytic) = -1.22850781512475016553505612515 y[1] (numeric) = -1.2285078151247501664304917630822 absolute error = 8.954356379322e-19 relative error = 7.2888070137451426130994659999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9442 Order of pole = 5.626 x[1] = -0.9336 y[1] (analytic) = -1.2289026221324827113039912983458 y[1] (numeric) = -1.228902622132482712201244300058 absolute error = 8.972530017122e-19 relative error = 7.3012538630214673692088319999996e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9441 Order of pole = 5.626 x[1] = -0.9335 y[1] (analytic) = -1.2292975983311318874742596357874 y[1] (numeric) = -1.2292975983311318883733317540247 absolute error = 8.990721182373e-19 relative error = 7.3137059688220416892998749999996e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.944 Order of pole = 5.626 x[1] = -0.9334 y[1] (analytic) = -1.2296927438113389212442647015945 y[1] (numeric) = -1.2296927438113389221451576909803 absolute error = 9.008929893858e-19 relative error = 7.3261633356764459187940319999996e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9439 Order of pole = 5.626 x[1] = -0.9333 y[1] (analytic) = -1.2300880586638033174973550889536 y[1] (numeric) = -1.2300880586638033184000707059921 absolute error = 9.027156170385e-19 relative error = 7.3386259681204024309692449999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9438 Order of pole = 5.626 x[1] = -0.9332 y[1] (analytic) = -1.2304835429792829025210172580119 y[1] (numeric) = -1.23048354297928290342555726109 absolute error = 9.045400030781e-19 relative error = 7.3510938706908763007294080000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9437 Order of pole = 5.626 x[1] = -0.9331 y[1] (analytic) = -1.2308791968485938677635553551939 y[1] (numeric) = -1.2308791968485938686699215045837 absolute error = 9.063661493898e-19 relative error = 7.3635670479309345303615180000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop memory used=129.7MB, alloc=4.4MB, time=8.86 Real estimate of pole used Radius of convergence = 0.9436 Order of pole = 5.626 x[1] = -0.933 y[1] (analytic) = -1.2312750203626108136282941788923 y[1] (numeric) = -1.2312750203626108145364882367532 absolute error = 9.081940578609e-19 relative error = 7.3760455043864742243330000000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9435 Order of pole = 5.626 x[1] = -0.9329 y[1] (analytic) = -1.2316710136122667933053414952543 y[1] (numeric) = -1.2316710136122667942153652256352 absolute error = 9.100237303809e-19 relative error = 7.3885292446070165752628010000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9434 Order of pole = 5.626 x[1] = -0.9328 y[1] (analytic) = -1.2320671766885533566409459465999 y[1] (numeric) = -1.2320671766885533575528011154416 absolute error = 9.118551688417e-19 relative error = 7.4010182731473109429411840000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9433 Order of pole = 5.626 x[1] = -0.9327 y[1] (analytic) = -1.2324635096825205940444868338723 y[1] (numeric) = -1.2324635096825205949581752090095 absolute error = 9.136883751372e-19 relative error = 7.4135125945640675191802759999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9432 Order of pole = 5.626 x[1] = -0.9326 y[1] (analytic) = -1.2328600126852771804331320934254 y[1] (numeric) = -1.2328600126852771813486554445892 absolute error = 9.155233511638e-19 relative error = 7.4260122134199963722446880000004e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9431 Order of pole = 5.626 x[1] = -0.9325 y[1] (analytic) = -1.2332566857879904192142008274113 y[1] (numeric) = -1.233256685787990420131560926231 absolute error = 9.173600988197e-19 relative error = 7.4385171342781083445156249999993e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.943 Order of pole = 5.626 x[1] = -0.9324 y[1] (analytic) = -1.2336535290818862863052667860234 y[1] (numeric) = -1.2336535290818862872244654060294 absolute error = 9.191986200060e-19 relative error = 7.4510273617106177306534399999996e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9429 Order of pole = 5.626 x[1] = -0.9323 y[1] (analytic) = -1.2340505426582494741920392389061 y[1] (numeric) = -1.2340505426582494751130781555316 absolute error = 9.210389166255e-19 relative error = 7.4635429002891899465450850000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9428 Order of pole = 5.626 x[1] = -0.9322 y[1] (analytic) = -1.2344477266084234360240577121225 y[1] (numeric) = -1.2344477266084234369469387027058 absolute error = 9.228809905833e-19 relative error = 7.4760637545897894120285839999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9427 Order of pole = 5.626 x[1] = -0.9321 y[1] (analytic) = -1.2348450810238104297482371062179 y[1] (numeric) = -1.2348450810238104306729619500049 absolute error = 9.247248437870e-19 relative error = 7.4885899291942787887070699999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9426 Order of pole = 5.626 x[1] = -0.932 y[1] (analytic) = -1.2352426059958715622802997500976 y[1] (numeric) = -1.2352426059958715632068702282439 absolute error = 9.265704781463e-19 relative error = 7.5011214286871577619839999999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9425 Order of pole = 5.626 x[1] = -0.9319 y[1] (analytic) = -1.2356403016161268337141309846668 y[1] (numeric) = -1.23564030161612683464254888024 absolute error = 9.284178955732e-19 relative error = 7.5136582576571638772565880000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9424 Order of pole = 5.626 x[1] = -0.9318 y[1] (analytic) = -1.2360381679761551815690949094591 y[1] (numeric) = -1.236038167976155182499362007441 absolute error = 9.302670979819e-19 relative error = 7.5262004206964431558768080000005e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9423 Order of pole = 5.626 x[1] = -0.9317 y[1] (analytic) = -1.236436205167594525075346964801 y[1] (numeric) = -1.2364362051675945260074650520897 absolute error = 9.321180872887e-19 relative error = 7.5387479223997222907935310000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9422 Order of pole = 5.626 x[1] = -0.9316 y[1] (analytic) = -1.2368344132821418094971800614304 y[1] (numeric) = -1.2368344132821418104311509268431 absolute error = 9.339708654127e-19 relative error = 7.5513007673699505460289920000006e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9421 Order of pole = 5.626 x[1] = -0.9315 y[1] (analytic) = -1.2372327924115530504944410089041 y[1] (numeric) = -1.2372327924115530514302664431788 absolute error = 9.358254342747e-19 relative error = 7.5638589602093821414136250000004e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.942 Order of pole = 5.626 x[1] = -0.9314 y[1] (analytic) = -1.237631342647643378522054033587 y[1] (numeric) = -1.2376313426476433794597358293849 absolute error = 9.376817957979e-19 relative error = 7.5764225055252197478779759999995e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9419 Order of pole = 5.626 x[1] = -0.9313 y[1] (analytic) = -1.2380300640822870832676882165309 y[1] (numeric) = -1.2380300640822870842072281684391 absolute error = 9.395399519082e-19 relative error = 7.5889914079320161259813539999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9418 Order of pole = 5.626 x[1] = -0.9312 y[1] (analytic) = -1.2384289568074176581276057211031 y[1] (numeric) = -1.2384289568074176590690056256363 absolute error = 9.413999045332e-19 relative error = 7.6015656720435739286568959999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9417 Order of pole = 5.626 x[1] = -0.9311 y[1] (analytic) = -1.2388280209150278447207277198258 y[1] (numeric) = -1.2388280209150278456639893754289 absolute error = 9.432616556031e-19 relative error = 7.6141453024801982074001609999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop memory used=133.5MB, alloc=4.4MB, time=9.12 Real estimate of pole used Radius of convergence = 0.9416 Order of pole = 5.626 x[1] = -0.931 y[1] (analytic) = -1.2392272564971696774409549695412 y[1] (numeric) = -1.2392272564971696783860801765914 absolute error = 9.451252070502e-19 relative error = 7.6267303038646375244819999999997e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9415 Order of pole = 5.626 x[1] = -0.9309 y[1] (analytic) = -1.2396266636459545280477800237088 y[1] (numeric) = -1.2396266636459545289947705845181 absolute error = 9.469905608093e-19 relative error = 7.6393206808252931350604969999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9414 Order of pole = 5.626 x[1] = -0.9308 y[1] (analytic) = -1.2400262424535531502952281103877 y[1] (numeric) = -1.240026242453553151244085829205 absolute error = 9.488577188173e-19 relative error = 7.6519164379929704695333759999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9413 Order of pole = 5.626 x[1] = -0.9307 y[1] (analytic) = -1.2404259930121957245991637442438 y[1] (numeric) = -1.2404259930121957255498904272572 absolute error = 9.507266830134e-19 relative error = 7.6645175800024739197873619999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9412 Order of pole = 5.626 x[1] = -0.9306 y[1] (analytic) = -1.2408259154141719027430001807614 y[1] (numeric) = -1.2408259154141719036955976361007 absolute error = 9.525974553393e-19 relative error = 7.6771241114941985227220880000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9411 Order of pole = 5.626 x[1] = -0.9305 y[1] (analytic) = -1.2412260097518308526218488607213 y[1] (numeric) = -1.24122600975183085357631889846 absolute error = 9.544700377387e-19 relative error = 7.6897360371100789580558750000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.941 Order of pole = 5.626 x[1] = -0.9304 y[1] (analytic) = -1.2416262761175813030251460329387 y[1] (numeric) = -1.2416262761175813039814904650965 absolute error = 9.563444321578e-19 relative error = 7.7023533614976003096401920000005e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9409 Order of pole = 5.626 x[1] = -0.9303 y[1] (analytic) = -1.242026714603891588457793783234 y[1] (numeric) = -1.2420267146038915894160144237791 absolute error = 9.582206405451e-19 relative error = 7.7149760893081651016032770000005e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9408 Order of pole = 5.626 x[1] = -0.9302 y[1] (analytic) = -1.2424273253032896939998527376336 y[1] (numeric) = -1.2424273253032896949599514024848 absolute error = 9.600986648512e-19 relative error = 7.7276042251954634684072960000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9407 Order of pole = 5.626 x[1] = -0.9301 y[1] (analytic) = -1.2428281083083633002048237478723 y[1] (numeric) = -1.2428281083083633011668022549017 absolute error = 9.619785070294e-19 relative error = 7.7402377738202833884528940000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9406 Order of pole = 5.626 x[1] = -0.93 y[1] (analytic) = -1.2432290637117598280365559073895 y[1] (numeric) = -1.2432290637117598290004160764243 absolute error = 9.638601690348e-19 relative error = 7.7528767398432462359999999999993e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9405 Order of pole = 5.626 x[1] = -0.9299 y[1] (analytic) = -1.2436301916061864838448182861766 y[1] (numeric) = -1.243630191606186484810561939002 absolute error = 9.657436528254e-19 relative error = 7.7655211279336383143783459999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9404 Order of pole = 5.626 x[1] = -0.9298 y[1] (analytic) = -1.2440314920844103043795728130548 y[1] (numeric) = -1.2440314920844103053472017734158 absolute error = 9.676289603610e-19 relative error = 7.7781709427605408426471200000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9403 Order of pole = 5.626 x[1] = -0.9297 y[1] (analytic) = -1.2444329652392582018439857742165 y[1] (numeric) = -1.2444329652392582028135018678205 absolute error = 9.695160936040e-19 relative error = 7.7908261889992450779709200000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9402 Order of pole = 5.626 x[1] = -0.9296 y[1] (analytic) = -1.2448346111636170089862154371834 y[1] (numeric) = -1.2448346111636170099576204917023 absolute error = 9.714050545189e-19 relative error = 7.8034868713272118511575039999997e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9401 Order of pole = 5.626 x[1] = -0.9295 y[1] (analytic) = -1.2452364299504335242300133496863 y[1] (numeric) = -1.2452364299504335252033091947592 absolute error = 9.732958450729e-19 relative error = 7.8161529944288725619863750000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.94 Order of pole = 5.626 x[1] = -0.9294 y[1] (analytic) = -1.2456384216927145568441769033822 y[1] (numeric) = -1.2456384216927145578193653706173 absolute error = 9.751884672351e-19 relative error = 7.8288245629891816432965839999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9399 Order of pole = 5.626 x[1] = -0.9293 y[1] (analytic) = -1.2460405864835269721508907927735 y[1] (numeric) = -1.2460405864835269731279737157508 absolute error = 9.770829229773e-19 relative error = 7.8415015817000221556861610000004e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9398 Order of pole = 5.626 x[1] = -0.9292 y[1] (analytic) = -1.2464429244159977367729950402029 y[1] (numeric) = -1.2464429244159977377519742544762 absolute error = 9.789792142733e-19 relative error = 7.8541840552545647158855040000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9397 Order of pole = 5.626 x[1] = -0.9291 y[1] (analytic) = -1.2468454355833139639202172983394 y[1] (numeric) = -1.2468454355833139649010946414389 absolute error = 9.808773430995e-19 relative error = 7.8668719883520636355551449999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop memory used=137.3MB, alloc=4.4MB, time=9.38 Real estimate of pole used Radius of convergence = 0.9396 Order of pole = 5.626 x[1] = -0.929 y[1] (analytic) = -1.2472481200787229587144071821765 y[1] (numeric) = -1.2472481200787229596971844936111 absolute error = 9.827773114346e-19 relative error = 7.8795653856954278667940000000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9395 Order of pole = 5.626 x[1] = -0.9289 y[1] (analytic) = -1.247650977995532263553810423204 y[1] (numeric) = -1.2476509779955322645384895444635 absolute error = 9.846791212595e-19 relative error = 7.8922642519903996393465550000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9394 Order of pole = 5.626 x[1] = -0.9288 y[1] (analytic) = -1.2480540094271097035164206791113 y[1] (numeric) = -1.2480540094271097045030034536689 absolute error = 9.865827745576e-19 relative error = 7.9049685919479396571422720000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9393 Order of pole = 5.626 x[1] = -0.9287 y[1] (analytic) = -1.2484572144668834318024468731234 y[1] (numeric) = -1.2484572144668834327909351464379 absolute error = 9.884882733145e-19 relative error = 7.9176784102818017213199350000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9392 Order of pole = 5.626 x[1] = -0.9286 y[1] (analytic) = -1.2488605932083419752159339778586 y[1] (numeric) = -1.2488605932083419762063295973769 absolute error = 9.903956195183e-19 relative error = 7.9303937117109164079950480000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9391 Order of pole = 5.626 x[1] = -0.9285 y[1] (analytic) = -1.2492641457450342796855751994394 y[1] (numeric) = -1.2492641457450342806778800145987 absolute error = 9.923048151593e-19 relative error = 7.9431145009569672787811250000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.939 Order of pole = 5.626 x[1] = -0.9284 y[1] (analytic) = -1.2496678721705697558247535584715 y[1] (numeric) = -1.2496678721705697568189694207019 absolute error = 9.942158622304e-19 relative error = 7.9558407827475732530524159999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9389 Order of pole = 5.626 x[1] = -0.9283 y[1] (analytic) = -1.2500717725786183245308509054457 y[1] (numeric) = -1.2500717725786183255269796681724 absolute error = 9.961287627267e-19 relative error = 7.9685725618130651584549289999997e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9387 Order of pole = 5.626 x[1] = -0.9282 y[1] (analytic) = -1.2504758470629104626238624490984 y[1] (numeric) = -1.250475847062910463621905967744 absolute error = 9.980435186456e-19 relative error = 7.9813098428872669824862079999996e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9386 Order of pole = 5.626 x[1] = -0.9281 y[1] (analytic) = -1.2508800957172372485243549173013 y[1] (numeric) = -1.2508800957172372495243150492884 absolute error = 9.999601319871e-19 relative error = 7.9940526307098744636997109999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9385 Order of pole = 5.626 x[1] = -0.928 y[1] (analytic) = -1.2512845186354504079708065111321 y[1] (numeric) = -1.2512845186354504089726851158853 absolute error = 1.0018786047532e-18 relative error = 8.0068009300216364400639999999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9384 Order of pole = 5.626 x[1] = -0.9279 y[1] (analytic) = -1.251689115911462359776366853907 y[1] (numeric) = -1.2516891159114623607801657928557 absolute error = 1.0037989389487e-18 relative error = 8.0195547455707304023701929999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9383 Order of pole = 5.626 x[1] = -0.9278 y[1] (analytic) = -1.2520938876392462616250751781373 y[1] (numeric) = -1.2520938876392462626307963147178 absolute error = 1.0057211365805e-18 relative error = 8.0323140821071457326063600000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9382 Order of pole = 5.626 x[1] = -0.9277 y[1] (analytic) = -1.2524988339128360559075750345978 y[1] (numeric) = -1.2524988339128360569152202342557 absolute error = 1.0076451996579e-18 relative error = 8.0450789443850618477522070000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9381 Order of pole = 5.626 x[1] = -0.9276 y[1] (analytic) = -1.2529039548263265155963638489725 y[1] (numeric) = -1.2529039548263265166059349791651 absolute error = 1.0095711301926e-18 relative error = 8.0578493371628272744853759999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.938 Order of pole = 5.626 x[1] = -0.9275 y[1] (analytic) = -1.2533092504738732901606156928692 y[1] (numeric) = -1.2533092504738732911721146230681 absolute error = 1.0114989301989e-18 relative error = 8.0706252652045345168593750000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9379 Order of pole = 5.626 x[1] = -0.9274 y[1] (analytic) = -1.2537147209496929515206156773689 y[1] (numeric) = -1.2537147209496929525340442790621 absolute error = 1.0134286016932e-18 relative error = 8.0834067332760084376559679999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9378 Order of pole = 5.626 x[1] = -0.9273 y[1] (analytic) = -1.2541203663480630400418444186989 y[1] (numeric) = -1.2541203663480630410572045653934 absolute error = 1.0153601466945e-18 relative error = 8.0961937461487761151210650000004e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9377 Order of pole = 5.626 x[1] = -0.9272 y[1] (analytic) = -1.2545261867633221105687510670939 y[1] (numeric) = -1.2545261867633221115860446343178 absolute error = 1.0172935672239e-18 relative error = 8.1089863085960578397598720000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9376 Order of pole = 5.626 x[1] = -0.9271 y[1] (analytic) = -1.2549321822898697784982534314278 y[1] (numeric) = -1.254932182289869779517482296733 absolute error = 1.0192288653052e-18 relative error = 8.1217844253975312807775719999997e-17 % h = 0.0001 TOP MAIN SOLVE Loop memory used=141.1MB, alloc=4.4MB, time=9.65 Real estimate of pole used Radius of convergence = 0.9375 Order of pole = 5.626 x[1] = -0.927 y[1] (analytic) = -1.2553383530221667658930037737743 y[1] (numeric) = -1.255338353022166766914169816739 absolute error = 1.0211660429647e-18 relative error = 8.1345881013377136020010000000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9374 Order of pole = 5.626 x[1] = -0.9269 y[1] (analytic) = -1.2557446990547349476344588896734 y[1] (numeric) = -1.2557446990547349486575639919041 absolute error = 1.0231051022307e-18 relative error = 8.1473973412019576705154630000004e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9373 Order of pole = 5.626 x[1] = -0.9268 y[1] (analytic) = -1.2561512204821573976157931315495 y[1] (numeric) = -1.2561512204821573986408391766837 absolute error = 1.0250460451342e-18 relative error = 8.1602121497820090051485440000006e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9372 Order of pole = 5.626 x[1] = -0.9267 y[1] (analytic) = -1.2565579173990784349746930744499 y[1] (numeric) = -1.2565579173990784360016819481582 absolute error = 1.0269888737083e-18 relative error = 8.1730325318712061946155290000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9371 Order of pole = 5.626 x[1] = -0.9266 y[1] (analytic) = -1.2569647899002036703660725650384 y[1] (numeric) = -1.2569647899002036713950061550275 absolute error = 1.0289335899891e-18 relative error = 8.1858584922716241179925360000004e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.937 Order of pole = 5.626 x[1] = -0.9265 y[1] (analytic) = -1.2573718380803000522747469366012 y[1] (numeric) = -1.2573718380803000533056271326157 absolute error = 1.0308801960145e-18 relative error = 8.1986900357845017692706250000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9369 Order of pole = 5.626 x[1] = -0.9264 y[1] (analytic) = -1.2577790620341959133681052146853 y[1] (numeric) = -1.2577790620341959144009339085106 absolute error = 1.0328286938253e-18 relative error = 8.2115271672189748443832320000005e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9368 Order of pole = 5.626 x[1] = -0.9263 y[1] (analytic) = -1.2581864618567810168888191799146 y[1] (numeric) = -1.2581864618567810179235982653789 absolute error = 1.0347790854643e-18 relative error = 8.2243698913848954548474209999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9367 Order of pole = 5.626 x[1] = -0.9262 y[1] (analytic) = -1.25859403764300660308762819649 y[1] (numeric) = -1.258594037643006604124359569467 absolute error = 1.0367313729770e-18 relative error = 8.2372182130983783597125599999995e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9366 Order of pole = 5.626 x[1] = -0.9261 y[1] (analytic) = -1.2590017894878854356962387569038 y[1] (numeric) = -1.2590017894878854367349243153152 absolute error = 1.0386855584114e-18 relative error = 8.2500721371801878836142339999996e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9365 Order of pole = 5.626 x[1] = -0.926 y[1] (analytic) = -1.2594097174864918484403777354619 y[1] (numeric) = -1.2594097174864918494810193792796 absolute error = 1.0406416438177e-18 relative error = 8.2629316684533339193519999999996e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9364 Order of pole = 5.626 x[1] = -0.9259 y[1] (analytic) = -1.2598178217339617915930383853268 y[1] (numeric) = -1.2598178217339617926356380165755 absolute error = 1.0425996312487e-18 relative error = 8.2757968117462289376447729999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9363 Order of pole = 5.626 x[1] = -0.9258 y[1] (analytic) = -1.2602261023254928785679581559632 y[1] (numeric) = -1.2602261023254928796125176787225 absolute error = 1.0445595227593e-18 relative error = 8.2886675718886972653206159999995e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9362 Order of pole = 5.626 x[1] = -0.9257 y[1] (analytic) = -1.260634559356344432553367450083 y[1] (numeric) = -1.2606345593563444335998887704904 absolute error = 1.0465213204074e-18 relative error = 8.3015439537190976139938819999994e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9361 Order of pole = 5.626 x[1] = -0.9256 y[1] (analytic) = -1.2610431929218375331860484814585 y[1] (numeric) = -1.2610431929218375342345335077117 absolute error = 1.0484850262532e-18 relative error = 8.3144259620787438351749120000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.936 Order of pole = 5.626 x[1] = -0.9255 y[1] (analytic) = -1.2614520031173550632657434372875 y[1] (numeric) = -1.2614520031173550643161940796463 absolute error = 1.0504506423588e-18 relative error = 8.3273136018087147033735000000004e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9359 Order of pole = 5.626 x[1] = -0.9254 y[1] (analytic) = -1.2618609900383417555099511911632 y[1] (numeric) = -1.2618609900383417565623693619524 absolute error = 1.0524181707892e-18 relative error = 8.3402068777577646068530879999993e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9358 Order of pole = 5.626 x[1] = -0.9253 y[1] (analytic) = -1.2622701537803042393491518551228 y[1] (numeric) = -1.2622701537803042404035394687351 absolute error = 1.0543876136123e-18 relative error = 8.3531057947822966044570709999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9357 Order of pole = 5.626 x[1] = -0.9252 y[1] (analytic) = -1.2626794944388110877624985017176 y[1] (numeric) = -1.2626794944388110888188574746152 absolute error = 1.0563589728976e-18 relative error = 8.3660103577360399381678080000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9356 Order of pole = 5.626 x[1] = -0.9251 y[1] (analytic) = -1.2630890121094928641540154295636 y[1] (numeric) = -1.263089012109492865212347680281 absolute error = 1.0583322507174e-18 relative error = 8.3789205714795403414606740000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop memory used=144.9MB, alloc=4.5MB, time=9.90 Real estimate of pole used Radius of convergence = 0.9355 Order of pole = 5.626 x[1] = -0.925 y[1] (analytic) = -1.2634987068880421692693423884075 y[1] (numeric) = -1.2634987068880421703296498375541 absolute error = 1.0603074491466e-18 relative error = 8.3918364408785515312499999999993e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9354 Order of pole = 5.626 x[1] = -0.9249 y[1] (analytic) = -1.2639085788702136881530642223608 y[1] (numeric) = -1.2639085788702136892153487926236 absolute error = 1.0622845702628e-18 relative error = 8.4047579708048033899743720000004e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9353 Order of pole = 5.626 x[1] = -0.9248 y[1] (analytic) = -1.2643186281518242371466654326291 y[1] (numeric) = -1.2643186281518242382109290487743 absolute error = 1.0642636161452e-18 relative error = 8.4176851661272773488803840000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9352 Order of pole = 5.626 x[1] = -0.9247 y[1] (analytic) = -1.2647288548287528109271492037804 y[1] (numeric) = -1.2647288548287528119933937926567 absolute error = 1.0662445888763e-18 relative error = 8.4306180317256378562501490000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9351 Order of pole = 5.626 x[1] = -0.9246 y[1] (analytic) = -1.2651392589969406295863604803793 y[1] (numeric) = -1.2651392589969406306545879709201 absolute error = 1.0682274905408e-18 relative error = 8.4435565724815057432058880000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.935 Order of pole = 5.626 x[1] = -0.9245 y[1] (analytic) = -1.2655498407523911857510527236291 y[1] (numeric) = -1.265549840752391186821265046855 absolute error = 1.0702123232259e-18 relative error = 8.4565007932808109247113750000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9349 Order of pole = 5.626 x[1] = -0.9244 y[1] (analytic) = -1.2659606001911702917437380205446 y[1] (numeric) = -1.2659606001911702928159371095656 absolute error = 1.0721990890210e-18 relative error = 8.4694506990114010175046399999993e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9348 Order of pole = 5.626 x[1] = -0.9243 y[1] (analytic) = -1.2663715374094061267843602611018 y[1] (numeric) = -1.2663715374094061278585480511205 absolute error = 1.0741877900187e-18 relative error = 8.4824062945709201399466089999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9347 Order of pole = 5.626 x[1] = -0.9242 y[1] (analytic) = -1.2667826525032892842328311417921 y[1] (numeric) = -1.2667826525032892853090095701056 absolute error = 1.0761784283135e-18 relative error = 8.4953675848565161191698800000008e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9346 Order of pole = 5.626 x[1] = -0.9241 y[1] (analytic) = -1.2671939455690728188724687970312 y[1] (numeric) = -1.2671939455690728199506398030334 absolute error = 1.0781710060022e-18 relative error = 8.5083345747679831753194620000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9345 Order of pole = 5.626 x[1] = -0.924 y[1] (analytic) = -1.2676054167030722942343789029571 y[1] (numeric) = -1.2676054167030722953145444281419 absolute error = 1.0801655251848e-18 relative error = 8.5213072692148429163519999999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9344 Order of pole = 5.626 x[1] = -0.9239 y[1] (analytic) = -1.268017066001665829962818141284 y[1] (numeric) = -1.2680170660016658310449801292474 absolute error = 1.0821619879634e-18 relative error = 8.5342856731076388613956460000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9343 Order of pole = 5.626 x[1] = -0.9238 y[1] (analytic) = -1.2684288935612941492215799540559 y[1] (numeric) = -1.2684288935612941503057403504984 absolute error = 1.0841603964425e-18 relative error = 8.5472697913602851636485999999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9342 Order of pole = 5.626 x[1] = -0.9237 y[1] (analytic) = -1.2688408994784606261414425633815 y[1] (numeric) = -1.2688408994784606272276033161109 absolute error = 1.0861607527294e-18 relative error = 8.5602596288931988611965820000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9341 Order of pole = 5.626 x[1] = -0.9236 y[1] (analytic) = -1.2692530838497313333087192735189 y[1] (numeric) = -1.2692530838497313343968823324526 absolute error = 1.0881630589337e-18 relative error = 8.5732551906293352183022720000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.934 Order of pole = 5.626 x[1] = -0.9235 y[1] (analytic) = -1.26966544677173508929495111601 y[1] (numeric) = -1.2696654467717350903851184331774 absolute error = 1.0901673171674e-18 relative error = 8.5862564814949564182627499999995e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9339 Order of pole = 5.626 x[1] = -0.9234 y[1] (analytic) = -1.2700779883411635062277819419586 y[1] (numeric) = -1.2700779883411635073199554715042 absolute error = 1.0921735295456e-18 relative error = 8.5992635064251228572362240000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9338 Order of pole = 5.626 x[1] = -0.9233 y[1] (analytic) = -1.2704907086547710374030561089851 y[1] (numeric) = -1.2704907086547710384972378071702 absolute error = 1.0941816981851e-18 relative error = 8.6122762703526446665357869999997e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9337 Order of pole = 5.626 x[1] = -0.9232 y[1] (analytic) = -1.2709036078093750249381789538787 y[1] (numeric) = -1.2709036078093750260343707790846 absolute error = 1.0961918252059e-18 relative error = 8.6252947782198731487109119999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9336 Order of pole = 5.626 x[1] = -0.9231 y[1] (analytic) = -1.2713166859018557474667802855193 y[1] (numeric) = -1.2713166859018557485649841982495 absolute error = 1.0982039127302e-18 relative error = 8.6383190349708045638210820000004e-17 % h = 0.0001 memory used=148.7MB, alloc=4.5MB, time=10.16 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9335 Order of pole = 5.626 x[1] = -0.923 y[1] (analytic) = -1.2717299430291564678747211762303 y[1] (numeric) = -1.2717299430291564689749391391129 absolute error = 1.1002179628826e-18 relative error = 8.6513490455526352417420000000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9334 Order of pole = 5.626 x[1] = -0.9229 y[1] (analytic) = -1.2721433792882834810774843733748 y[1] (numeric) = -1.2721433792882834821797183511653 absolute error = 1.1022339777905e-18 relative error = 8.6643848149188857934230449999995e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9333 Order of pole = 5.626 x[1] = -0.9228 y[1] (analytic) = -1.2725569947763061618389886967068 y[1] (numeric) = -1.2725569947763061629432406562908 absolute error = 1.1042519595840e-18 relative error = 8.6774263480285901105356799999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9332 Order of pole = 5.626 x[1] = -0.9227 y[1] (analytic) = -1.2729707895903570126318678307418 y[1] (numeric) = -1.2729707895903570137381397411372 absolute error = 1.1062719103954e-18 relative error = 8.6904736498423436625481820000005e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9331 Order of pole = 5.626 x[1] = -0.9226 y[1] (analytic) = -1.2733847638276317115392539652123 y[1] (numeric) = -1.2733847638276317126475477975718 absolute error = 1.1082938323595e-18 relative error = 8.7035267253246419439777200000004e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.933 Order of pole = 5.626 x[1] = -0.9225 y[1] (analytic) = -1.2737989175853891601981067805331 y[1] (numeric) = -1.2737989175853891613084245081469 absolute error = 1.1103177276138e-18 relative error = 8.7165855794454292881562500000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9329 Order of pole = 5.626 x[1] = -0.9224 y[1] (analytic) = -1.2742132509609515317841283191097 y[1] (numeric) = -1.2742132509609515328964719174082 absolute error = 1.1123435982985e-18 relative error = 8.7296502171800750399206400000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9328 Order of pole = 5.626 x[1] = -0.9223 y[1] (analytic) = -1.2746277640517043190383043272818 y[1] (numeric) = -1.2746277640517043201526757738379 absolute error = 1.1143714465561e-18 relative error = 8.7427206435062115770650870000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9327 Order of pole = 5.626 x[1] = -0.9222 y[1] (analytic) = -1.2750424569550963823351126967096 y[1] (numeric) = -1.2750424569550963834515139712413 absolute error = 1.1164012745317e-18 relative error = 8.7557968634060684888282160000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9326 Order of pole = 5.626 x[1] = -0.9221 y[1] (analytic) = -1.2754573297686399977924396780754 y[1] (numeric) = -1.2754573297686399989108727624486 absolute error = 1.1184330843732e-18 relative error = 8.7688788818680181464532520000005e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9325 Order of pole = 5.626 x[1] = -0.922 y[1] (analytic) = -1.2758723825899109054232445840927 y[1] (numeric) = -1.2758723825899109065437114623233 absolute error = 1.1204668782306e-18 relative error = 8.7819667038810642350880000000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9324 Order of pole = 5.626 x[1] = -0.9219 y[1] (analytic) = -1.2762876155165483573290137429834 y[1] (numeric) = -1.2762876155165483584515164012403 absolute error = 1.1225026582569e-18 relative error = 8.7950603344418773754491709999996e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9323 Order of pole = 5.626 x[1] = -0.9218 y[1] (analytic) = -1.276703028646255165935044507812 y[1] (numeric) = -1.2767030286462551670595849344197 absolute error = 1.1245404266077e-18 relative error = 8.8081597785516345158458640000007e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9322 Order of pole = 5.626 x[1] = -0.9217 y[1] (analytic) = -1.277118622076797752267600171339 y[1] (numeric) = -1.2771186220767977533941803567796 absolute error = 1.1265801854406e-18 relative error = 8.8212650412112984385550780000004e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9321 Order of pole = 5.626 x[1] = -0.9216 y[1] (analytic) = -1.277534395906006194272976680384 y[1] (numeric) = -1.2775343959060061954015986173004 absolute error = 1.1286219369164e-18 relative error = 8.8343761274309960993341440000006e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.932 Order of pole = 5.626 x[1] = -0.9215 y[1] (analytic) = -1.277950350231774275178522088078 y[1] (numeric) = -1.277950350231774276309187771276 absolute error = 1.1306656831980e-18 relative error = 8.8474930422213810677324999999997e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9319 Order of pole = 5.626 x[1] = -0.9214 y[1] (analytic) = -1.2783664851520595318956497268107 y[1] (numeric) = -1.2783664851520595330283611532621 absolute error = 1.1327114264514e-18 relative error = 8.8606157906014400170808159999996e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9318 Order of pole = 5.626 x[1] = -0.9213 y[1] (analytic) = -1.2787828007648833034648861291759 y[1] (numeric) = -1.278782800764883304599645298021 absolute error = 1.1347591688451e-18 relative error = 8.8737443775937720513312470000009e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9317 Order of pole = 5.626 x[1] = -0.9212 y[1] (analytic) = -1.2791992971683307795429947687535 y[1] (numeric) = -1.2791992971683307806798036813029 absolute error = 1.1368089125494e-18 relative error = 8.8868788082190954819672319999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9316 Order of pole = 5.626 x[1] = -0.9211 y[1] (analytic) = -1.2796159744605510489322167371621 y[1] (numeric) = -1.2796159744605510500710773969003 memory used=152.5MB, alloc=4.5MB, time=10.42 absolute error = 1.1388606597382e-18 relative error = 8.9000190875103024258826420000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9315 Order of pole = 5.626 x[1] = -0.921 y[1] (analytic) = -1.280032832739757148151669518471 y[1] (numeric) = -1.2800328327397571492925839310585 absolute error = 1.1409144125875e-18 relative error = 8.9131652205007053408750000000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9314 Order of pole = 5.626 x[1] = -0.9209 y[1] (analytic) = -1.2804498721042261100509450667507 y[1] (numeric) = -1.2804498721042261111939152400266 absolute error = 1.1429701732759e-18 relative error = 8.9263172122279259987217109999996e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9313 Order of pole = 5.626 x[1] = -0.9208 y[1] (analytic) = -1.2808670926522990124659484373054 y[1] (numeric) = -1.2808670926522990136109763812904 absolute error = 1.1450279439850e-18 relative error = 8.9394750677369961202432000000004e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9312 Order of pole = 5.626 x[1] = -0.9207 y[1] (analytic) = -1.2812844944823810269170182669357 y[1] (numeric) = -1.281284494482381028064105993834 absolute error = 1.1470877268983e-18 relative error = 8.9526387920717449233903689999996e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9311 Order of pole = 5.626 x[1] = -0.9206 y[1] (analytic) = -1.2817020776929414673493704434383 y[1] (numeric) = -1.2817020776929414684985199676409 absolute error = 1.1491495242026e-18 relative error = 8.9658083902857087888312159999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.931 Order of pole = 5.626 x[1] = -0.9205 y[1] (analytic) = -1.2821198423825138389159063494735 y[1] (numeric) = -1.2821198423825138400671196875604 absolute error = 1.1512133380869e-18 relative error = 8.9789838674335206266186250000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9309 Order of pole = 5.626 x[1] = -0.9204 y[1] (analytic) = -1.2825377886496958868024271108902 y[1] (numeric) = -1.2825377886496958879557062816331 absolute error = 1.1532791707429e-18 relative error = 8.9921652285747913086418559999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9308 Order of pole = 5.626 x[1] = -0.9203 y[1] (analytic) = -1.2829559165931496450952953246288 y[1] (numeric) = -1.282955916593149646250642348994 absolute error = 1.1553470243652e-18 relative error = 9.0053524787756451432554040000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9307 Order of pole = 5.626 x[1] = -0.9202 y[1] (analytic) = -1.2833742263116014856915857863965 y[1] (numeric) = -1.2833742263116014868490026875472 absolute error = 1.1574169011507e-18 relative error = 9.0185456231040187533448560000010e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9306 Order of pole = 5.626 x[1] = -0.9201 y[1] (analytic) = -1.2837927179038421672517667834388 y[1] (numeric) = -1.2837927179038421684112555867374 absolute error = 1.1594888032986e-18 relative error = 9.0317446666296427715665859999995e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9305 Order of pole = 5.626 x[1] = -0.92 y[1] (analytic) = -1.2842113914687268841949535629161 y[1] (numeric) = -1.2842113914687268853565162959278 absolute error = 1.1615627330117e-18 relative error = 9.0449496144341464959999999999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9304 Order of pole = 5.626 x[1] = -0.9199 y[1] (analytic) = -1.2846302471051753157367756316382 y[1] (numeric) = -1.2846302471051753169004143241329 absolute error = 1.1636386924947e-18 relative error = 9.0581604715977897353722530000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9303 Order of pole = 5.626 x[1] = -0.9198 y[1] (analytic) = -1.2850492849121716749698995881916 y[1] (numeric) = -1.2850492849121716761356162721465 absolute error = 1.1657166839549e-18 relative error = 9.0713772432048968993332079999997e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9302 Order of pole = 5.626 x[1] = -0.9197 y[1] (analytic) = -1.2854685049887647579872492338515 y[1] (numeric) = -1.2854685049887647591550459434542 absolute error = 1.1677967096027e-18 relative error = 9.0845999343477245899940709999997e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9301 Order of pole = 5.626 x[1] = -0.9196 y[1] (analytic) = -1.2858879074340679930479647540674 y[1] (numeric) = -1.2858879074340679942178435257184 absolute error = 1.1698787716510e-18 relative error = 9.0978285501217672001593600000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.93 Order of pole = 5.626 x[1] = -0.9195 y[1] (analytic) = -1.2863074923472594897861428077657 y[1] (numeric) = -1.2863074923472594909581056800807 absolute error = 1.1719628723150e-18 relative error = 9.1110630956241813431062500000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9299 Order of pole = 5.626 x[1] = -0.9194 y[1] (analytic) = -1.2867272598275820884623994072244 y[1] (numeric) = -1.2867272598275820896364484210372 absolute error = 1.1740490138128e-18 relative error = 9.1243035759584306675851519999997e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9297 Order of pole = 5.626 x[1] = -0.9193 y[1] (analytic) = -1.2871472099743434092582975168391 y[1] (numeric) = -1.2871472099743434104344347152044 absolute error = 1.1761371983653e-18 relative error = 9.1375499962334831776042209999996e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9296 Order of pole = 5.626 x[1] = -0.9192 y[1] (analytic) = -1.2875673428869159016136813447181 y[1] (numeric) = -1.2875673428869159027919087729141 absolute error = 1.1782274281960e-18 relative error = 9.1508023615622334361804800000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9295 Order of pole = 5.626 memory used=156.4MB, alloc=4.5MB, time=10.68 x[1] = -0.9191 y[1] (analytic) = -1.2879876586647368936069593467179 y[1] (numeric) = -1.2879876586647368947872790522486 absolute error = 1.1803197055307e-18 relative error = 9.1640606770591514260503969999996e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9294 Order of pole = 5.626 x[1] = -0.919 y[1] (analytic) = -1.288408157407308641378378008257 y[1] (numeric) = -1.2884081574073086425607920408555 absolute error = 1.1824140325985e-18 relative error = 9.1773249478480259606150000000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9293 Order of pole = 5.626 x[1] = -0.9189 y[1] (analytic) = -1.2888288392141983785963285150342 y[1] (numeric) = -1.2888288392141983797808389266646 absolute error = 1.1845104116304e-18 relative error = 9.1905951790510713535577759999997e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9292 Order of pole = 5.626 x[1] = -0.9188 y[1] (analytic) = -1.2892497041850383659667284696064 y[1] (numeric) = -1.2892497041850383671533373144673 absolute error = 1.1866088448609e-18 relative error = 9.2038713758013247370532480000004e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9291 Order of pole = 5.626 x[1] = -0.9187 y[1] (analytic) = -1.2896707524195259407855208566838 y[1] (numeric) = -1.2896707524195259419742301912102 absolute error = 1.1887093345264e-18 relative error = 9.2171535432302065484165919999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.929 Order of pole = 5.626 x[1] = -0.9186 y[1] (analytic) = -1.2900919840174235665343325059379 y[1] (numeric) = -1.2900919840174235677251443888045 absolute error = 1.1908118828666e-18 relative error = 9.2304416864783595036540960000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9289 Order of pole = 5.626 x[1] = -0.9185 y[1] (analytic) = -1.2905133990785588825193343471299 y[1] (numeric) = -1.2905133990785588837122508392533 absolute error = 1.1929164921234e-18 relative error = 9.2437358106870941867752499999992e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9288 Order of pole = 5.626 x[1] = -0.9184 y[1] (analytic) = -1.2909349977028247535533457984155 y[1] (numeric) = -1.2909349977028247547483689629574 absolute error = 1.1950231645419e-18 relative error = 9.2570359210061186451701760000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9287 Order of pole = 5.626 x[1] = -0.9183 y[1] (analytic) = -1.2913567799901793196812256748046 y[1] (numeric) = -1.291356779990179320878357577174 absolute error = 1.1971319023694e-18 relative error = 9.2703420225857652332529780000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9286 Order of pole = 5.626 x[1] = -0.9182 y[1] (analytic) = -1.2917787460406460459485920499125 y[1] (numeric) = -1.2917787460406460471478347577686 absolute error = 1.1992427078561e-18 relative error = 9.2836541205823928055586480000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9285 Order of pole = 5.626 x[1] = -0.9181 y[1] (analytic) = -1.2922008959543137722139135503715 y[1] (numeric) = -1.2922008959543137734152691336264 absolute error = 1.2013555832549e-18 relative error = 9.2969722201568134422428090000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9284 Order of pole = 5.626 x[1] = -0.918 y[1] (analytic) = -1.2926232298313367630040146085453 y[1] (numeric) = -1.2926232298313367642074851393667 absolute error = 1.2034705308214e-18 relative error = 9.3102963264742694712479999999996e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9283 Order of pole = 5.626 x[1] = -0.9179 y[1] (analytic) = -1.2930457477719347574130372455247 y[1] (numeric) = -1.2930457477719347586186247983386 absolute error = 1.2055875528139e-18 relative error = 9.3236264447044105100771209999992e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9282 Order of pole = 5.626 x[1] = -0.9178 y[1] (analytic) = -1.2934684498763930190449020027728 y[1] (numeric) = -1.2934684498763930202526086542664 absolute error = 1.2077066514936e-18 relative error = 9.3369625800228167573838720000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9281 Order of pole = 5.626 x[1] = -0.9177 y[1] (analytic) = -1.2938913362450623859993106872342 y[1] (numeric) = -1.2938913362450623872091385163581 absolute error = 1.2098278291239e-18 relative error = 9.3503047376055635101506869999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.928 Order of pole = 5.626 x[1] = -0.9176 y[1] (analytic) = -1.2943144069783593209013336412204 y[1] (numeric) = -1.2943144069783593221132847291918 absolute error = 1.2119510879714e-18 relative error = 9.3636529226369306790000640000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9279 Order of pole = 5.626 x[1] = -0.9175 y[1] (analytic) = -1.2947376621767659609746242949471 y[1] (numeric) = -1.2947376621767659621887007252522 absolute error = 1.2140764303051e-18 relative error = 9.3770071403031947345781249999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9278 Order of pole = 5.626 x[1] = -0.9174 y[1] (analytic) = -1.2951611019408301681583038062043 y[1] (numeric) = -1.2951611019408301693745076646012 absolute error = 1.2162038583969e-18 relative error = 9.3903673957964701596952559999990e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9277 Order of pole = 5.626 x[1] = -0.9173 y[1] (analytic) = -1.295584726371165579267558638314 y[1] (numeric) = -1.2955847263711655804858920128357 absolute error = 1.2183333745217e-18 relative error = 9.4037336943154559357405889999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9276 Order of pole = 5.626 x[1] = -0.9172 y[1] (analytic) = -1.296008535568451656197993974254 y[1] (numeric) = -1.2960085355684516574184589552106 absolute error = 1.2204649809566e-18 relative error = 9.4171060410592361371815680000004e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9275 Order of pole = 5.626 memory used=160.2MB, alloc=4.5MB, time=10.94 x[1] = -0.9171 y[1] (analytic) = -1.2964325296334337361737859116039 y[1] (numeric) = -1.2964325296334337373963845915853 absolute error = 1.2225986799814e-18 relative error = 9.4304844412311201784587539999994e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9274 Order of pole = 5.626 x[1] = -0.917 y[1] (analytic) = -1.2968567086669230820396754298098 y[1] (numeric) = -1.2968567086669230832644099036891 absolute error = 1.2247344738793e-18 relative error = 9.4438689000440176979089999999995e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9273 Order of pole = 5.626 x[1] = -0.9169 y[1] (analytic) = -1.2972810727697969325968471681575 y[1] (numeric) = -1.2972810727697969338237195330932 absolute error = 1.2268723649357e-18 relative error = 9.4572594227111568506908129999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9272 Order of pole = 5.626 x[1] = -0.9168 y[1] (analytic) = -1.2977056220429985529827360997886 y[1] (numeric) = -1.2977056220429985542117484552274 absolute error = 1.2290123554388e-18 relative error = 9.4706560144506914185052160000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9271 Order of pole = 5.626 x[1] = -0.9167 y[1] (analytic) = -1.2981303565875372850948052341045 y[1] (numeric) = -1.2981303565875372863259596817842 absolute error = 1.2311544476797e-18 relative error = 9.4840586804864471647770110000006e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.927 Order of pole = 5.626 x[1] = -0.9166 y[1] (analytic) = -1.2985552765044885980583375269631 y[1] (numeric) = -1.2985552765044885992916361709151 absolute error = 1.2332986439520e-18 relative error = 9.4974674260448162648179200000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9269 Order of pole = 5.626 x[1] = -0.9165 y[1] (analytic) = -1.2989803818949941387382852251914 y[1] (numeric) = -1.2989803818949941399737301717438 absolute error = 1.2354449465524e-18 relative error = 9.5108822563593561512985000000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9268 Order of pole = 5.626 x[1] = -0.9164 y[1] (analytic) = -1.2994056728602617822952199191132 y[1] (numeric) = -1.2994056728602617835328132768933 absolute error = 1.2375933577801e-18 relative error = 9.5243031766661443156461439999995e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9267 Order of pole = 5.626 x[1] = -0.9163 y[1] (analytic) = -1.2998311495015656827854266240217 y[1] (numeric) = -1.299831149501565684025170503959 absolute error = 1.2397438799373e-18 relative error = 9.5377301922076048386206310000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9266 Order of pole = 5.626 x[1] = -0.9162 y[1] (analytic) = -1.300256811920246323805185258817 y[1] (numeric) = -1.3002568119202463250470817741456 absolute error = 1.2418965153286e-18 relative error = 9.5511633082278675158890079999997e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9265 Order of pole = 5.626 x[1] = -0.9161 y[1] (analytic) = -1.3006826602177105691792829373699 y[1] (numeric) = -1.3006826602177105704233342036317 absolute error = 1.2440512662618e-18 relative error = 9.5646025299788996489156580000002e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9264 Order of pole = 5.626 x[1] = -0.916 y[1] (analytic) = -1.3011086944954317136938005355821 y[1] (numeric) = -1.3011086944954317149400086706291 absolute error = 1.2462081350470e-18 relative error = 9.5780478627135599891200000000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9263 Order of pole = 5.626 x[1] = -0.9159 y[1] (analytic) = -1.301534914854949533873217044564 y[1] (numeric) = -1.3015349148549495351215841685614 absolute error = 1.2483671239974e-18 relative error = 9.5914993116917277981863460000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9262 Order of pole = 5.626 x[1] = -0.9158 y[1] (analytic) = -1.3019613213978703388018752678737 y[1] (numeric) = -1.3019613213978703400524035033027 absolute error = 1.2505282354290e-18 relative error = 9.6049568821779710544184800000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9261 Order of pole = 5.626 x[1] = -0.9157 y[1] (analytic) = -1.3023879142258670209898524683309 y[1] (numeric) = -1.3023879142258670222425439399914 absolute error = 1.2526914716605e-18 relative error = 9.6184205794407548510882650000006e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.926 Order of pole = 5.626 x[1] = -0.9156 y[1] (analytic) = -1.3028146934406791072832796175497 y[1] (numeric) = -1.3028146934406791085381364525629 absolute error = 1.2548568350132e-18 relative error = 9.6318904087516513242309120000006e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9259 Order of pole = 5.626 x[1] = -0.9155 y[1] (analytic) = -1.3032416591441128098191529490228 y[1] (numeric) = -1.3032416591441128110761772768343 absolute error = 1.2570243278115e-18 relative error = 9.6453663753891550131206250000004e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9258 Order of pole = 5.626 x[1] = -0.9154 y[1] (analytic) = -1.3036688114380410770246815633341 y[1] (numeric) = -1.3036688114380410782838755157164 absolute error = 1.2591939523823e-18 relative error = 9.6588484846340529711212719999996e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9257 Order of pole = 5.626 x[1] = -0.9153 y[1] (analytic) = -1.304096150424403644661214881878 y[1] (numeric) = -1.3040961504244036459225805929338 absolute error = 1.2613657110558e-18 relative error = 9.6723367417755393529839660000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9256 Order of pole = 5.626 x[1] = -0.9152 y[1] (analytic) = -1.3045236762052070869127937933258 y[1] (numeric) = -1.3045236762052070881763333994902 absolute error = 1.2635396061644e-18 relative error = 9.6858311521027532542443520000004e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9255 Order of pole = 5.626 memory used=164.0MB, alloc=4.5MB, time=11.20 x[1] = -0.9151 y[1] (analytic) = -1.3049513888825248675193693849928 y[1] (numeric) = -1.3049513888825248687850850250363 absolute error = 1.2657156400435e-18 relative error = 9.6993317209108930868286849999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9254 Order of pole = 5.626 x[1] = -0.915 y[1] (analytic) = -1.3053792885584973909547331992383 y[1] (numeric) = -1.3053792885584973922226270142698 absolute error = 1.2678938150315e-18 relative error = 9.7128384535011904256249999999996e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9253 Order of pole = 5.626 x[1] = -0.9149 y[1] (analytic) = -1.305807375335332053649203003062 y[1] (numeric) = -1.3058073753353320549192771365316 absolute error = 1.2700741334696e-18 relative error = 9.7263513551793522574905040000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9252 Order of pole = 5.626 x[1] = -0.9148 y[1] (analytic) = -1.3062356493153032952571081071495 y[1] (numeric) = -1.3062356493153032965293647048511 absolute error = 1.2722565977016e-18 relative error = 9.7398704312540062651806720000005e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9251 Order of pole = 5.626 x[1] = -0.9147 y[1] (analytic) = -1.3066641106007526499691183187688 y[1] (numeric) = -1.3066641106007526512435595288427 absolute error = 1.2744412100739e-18 relative error = 9.7533956870366797591274969999992e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.925 Order of pole = 5.626 x[1] = -0.9146 y[1] (analytic) = -1.3070927592940887978694606611242 y[1] (numeric) = -1.3070927592940887991460886340609 absolute error = 1.2766279729367e-18 relative error = 9.7669271278509593075419120000005e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9249 Order of pole = 5.626 x[1] = -0.9145 y[1] (analytic) = -1.3075215954977876163380680400435 y[1] (numeric) = -1.3075215954977876176168849286853 absolute error = 1.2788168886418e-18 relative error = 9.7804647590156289242252500000004e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9248 Order of pole = 5.626 x[1] = -0.9144 y[1] (analytic) = -1.3079506193143922314977040871853 y[1] (numeric) = -1.3079506193143922327787120467298 absolute error = 1.2810079595445e-18 relative error = 9.7940085858591881482828799999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9247 Order of pole = 5.626 x[1] = -0.9143 y[1] (analytic) = -1.3083798308465130697061084573465 y[1] (numeric) = -1.3083798308465130709893096453495 absolute error = 1.2832011880030e-18 relative error = 9.8075586137152339405762099999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9246 Order of pole = 5.626 x[1] = -0.9142 y[1] (analytic) = -1.3088092301968279090932069058796 y[1] (numeric) = -1.3088092301968279103786034822576 absolute error = 1.2853965763780e-18 relative error = 9.8211148479193797399486399999992e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9245 Order of pole = 5.626 x[1] = -0.9141 y[1] (analytic) = -1.3092388174680819311434305207283 y[1] (numeric) = -1.3092388174680819324310246477618 absolute error = 1.2875941270335e-18 relative error = 9.8346772938153461883940349999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9244 Order of pole = 5.626 x[1] = -0.914 y[1] (analytic) = -1.3096685927630877723231885321479 y[1] (numeric) = -1.3096685927630877736129823744836 absolute error = 1.2897938423357e-18 relative error = 9.8482459567465323560079999999996e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9243 Order of pole = 5.626 x[1] = -0.9139 y[1] (analytic) = -1.3100985561847255757535391717851 y[1] (numeric) = -1.3100985561847255770455348964394 absolute error = 1.2919957246543e-18 relative error = 9.8618208420659227617461170000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9242 Order of pole = 5.626 x[1] = -0.9138 y[1] (analytic) = -1.3105287078359430429281031014706 y[1] (numeric) = -1.3105287078359430442223028778318 absolute error = 1.2941997763612e-18 relative error = 9.8754019551261355463720639999991e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9241 Order of pole = 5.626 x[1] = -0.9137 y[1] (analytic) = -1.3109590478197554854762639808006 y[1] (numeric) = -1.3109590478197554867726699806327 absolute error = 1.2964059998321e-18 relative error = 9.8889893012916114186213130000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.924 Order of pole = 5.626 x[1] = -0.9136 y[1] (analytic) = -1.3113895762392458769717007913829 y[1] (numeric) = -1.3113895762392458782703151888275 absolute error = 1.2986143974446e-18 relative error = 9.9025828859240893288693760000005e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9239 Order of pole = 5.626 x[1] = -0.9135 y[1] (analytic) = -1.3118202931975649047862965844589 y[1] (numeric) = -1.3118202931975649060871215560384 absolute error = 1.3008249715795e-18 relative error = 9.9161827143925042987481250000003e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9238 Order of pole = 5.626 x[1] = -0.9134 y[1] (analytic) = -1.3122511987979310219894683675314 y[1] (numeric) = -1.312251198797931023292506092152 absolute error = 1.3030377246206e-18 relative error = 9.9297887920714350005134240000005e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9237 Order of pole = 5.626 x[1] = -0.9133 y[1] (analytic) = -1.3126822931436304992929628945873 y[1] (numeric) = -1.3126822931436305005982155535417 absolute error = 1.3052526589544e-18 relative error = 9.9434011243387925640595280000000e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9236 Order of pole = 5.626 x[1] = -0.9132 y[1] (analytic) = -1.3131135763380174770411631735299 y[1] (numeric) = -1.3131135763380174783486329505003 absolute error = 1.3074697769704e-18 relative error = 9.9570197165780832019614719999992e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9235 Order of pole = 5.626 memory used=167.8MB, alloc=4.5MB, time=11.47 x[1] = -0.9131 y[1] (analytic) = -1.3135450484845140172469505535217 y[1] (numeric) = -1.3135450484845140185566396345829 absolute error = 1.3096890810612e-18 relative error = 9.9706445741791437539056919999998e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9234 Order of pole = 5.626 x[1] = -0.913 y[1] (analytic) = -1.3139767096866101556731673040805 y[1] (numeric) = -1.3139767096866101569850778777023 absolute error = 1.3119105736218e-18 relative error = 9.9842757025327873643459999999999e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9233 Order of pole = 5.626 x[1] = -0.9129 y[1] (analytic) = -1.3144085600478639539597246469713 y[1] (numeric) = -1.3144085600478639552738589040216 absolute error = 1.3141342570503e-18 relative error = 9.9979131070361108629355670000001e-17 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9232 Order of pole = 5.626 x[1] = -0.9128 y[1] (analytic) = -1.3148405996719015517964012512035 y[1] (numeric) = -1.3148405996719015531127613849513 absolute error = 1.3163601337478e-18 relative error = 1.0011556793091707274566656000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9231 Order of pole = 5.626 x[1] = -0.9127 y[1] (analytic) = -1.315272828662417219141377250759 y[1] (numeric) = -1.315272828662417220459965456877 absolute error = 1.3185882061180e-18 relative error = 1.0025206766104598956011940000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.923 Order of pole = 5.626 x[1] = -0.9126 y[1] (analytic) = -1.3157052471231734084855488940586 y[1] (numeric) = -1.3157052471231734098063673706267 absolute error = 1.3208184765681e-18 relative error = 1.0038863031489057383908056000001e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9229 Order of pole = 5.626 x[1] = -0.9125 y[1] (analytic) = -1.3161378551580008071626689836176 y[1] (numeric) = -1.3161378551580008084857199311249 absolute error = 1.3230509475073e-18 relative error = 1.0052525594657174298828125000001e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9228 Order of pole = 5.626 x[1] = -0.9124 y[1] (analytic) = -1.3165706528707983897053583138324 y[1] (numeric) = -1.3165706528707983910306439351807 absolute error = 1.3252856213483e-18 relative error = 1.0066194461030241826227392000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9227 Order of pole = 5.626 x[1] = -0.9123 y[1] (analytic) = -1.3170036403655334702470333644103 y[1] (numeric) = -1.3170036403655334715745558649172 absolute error = 1.3275225005069e-18 relative error = 1.0079869636035683449061823000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9226 Order of pole = 5.626 x[1] = -0.9122 y[1] (analytic) = -1.3174368177462417549697955565652 y[1] (numeric) = -1.3174368177462417562995571439665 absolute error = 1.3297615874013e-18 relative error = 1.0093551125101713849042024000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9225 Order of pole = 5.626 x[1] = -0.9121 y[1] (analytic) = -1.3178701851170273945983274287834 y[1] (numeric) = -1.3178701851170273959303303132363 absolute error = 1.3320028844529e-18 relative error = 1.0107238933663391255042769000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9224 Order of pole = 5.626 x[1] = -0.912 y[1] (analytic) = -1.3183037425820630369398411387039 y[1] (numeric) = -1.3183037425820630382740875327901 absolute error = 1.3342463940862e-18 relative error = 1.0120933067161830875136000000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9223 Order of pole = 5.626 x[1] = -0.9119 y[1] (analytic) = -1.3187374902455898794701247474554 y[1] (numeric) = -1.3187374902455898808066168661835 absolute error = 1.3364921187281e-18 relative error = 1.0134633531038870042769679000001e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9222 Order of pole = 5.626 x[1] = -0.9118 y[1] (analytic) = -1.3191714282119177219657317926493 y[1] (numeric) = -1.3191714282119177233044718534579 absolute error = 1.3387400608086e-18 relative error = 1.0148340330742356584284752000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9221 Order of pole = 5.626 x[1] = -0.9117 y[1] (analytic) = -1.3196055565854250191823597061499 y[1] (numeric) = -1.319605556585425020523349928911 absolute error = 1.3409902227611e-18 relative error = 1.0162053471728395520169543000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.922 Order of pole = 5.626 x[1] = -0.9116 y[1] (analytic) = -1.3200398754705589335794626827219 y[1] (numeric) = -1.3200398754705589349227052897433 absolute error = 1.3432426070214e-18 relative error = 1.0175772959453743113519744000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9219 Order of pole = 5.626 x[1] = -0.9115 y[1] (analytic) = -1.3204743849718353880911446556916 y[1] (numeric) = -1.3204743849718353894366418717201 absolute error = 1.3454972160285e-18 relative error = 1.0189498799381847364824375000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9218 Order of pole = 5.626 x[1] = -0.9114 y[1] (analytic) = -1.3209090851938391189433780858627 y[1] (numeric) = -1.3209090851938391202911321380871 absolute error = 1.3477540522244e-18 relative error = 1.0203230996981306017112736000001e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9217 Order of pole = 5.626 x[1] = -0.9113 y[1] (analytic) = -1.3213439762412237285175943200864 y[1] (numeric) = -1.3213439762412237298676074381398 absolute error = 1.3500131180534e-18 relative error = 1.0216969557720543548408997999999e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9216 Order of pole = 5.626 x[1] = -0.9112 y[1] (analytic) = -1.3217790582187117382606913261021 y[1] (numeric) = -1.3217790582187117396129657420661 absolute error = 1.3522744159640e-18 relative error = 1.0230714487082169107025920000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9215 Order of pole = 5.626 memory used=171.6MB, alloc=4.5MB, time=11.73 x[1] = -0.9111 y[1] (analytic) = -1.3222143312310946416415046605586 y[1] (numeric) = -1.3222143312310946429960426089651 absolute error = 1.3545379484065e-18 relative error = 1.0244465790544784867655015000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9214 Order of pole = 5.626 x[1] = -0.911 y[1] (analytic) = -1.3226497953832329571537875774513 y[1] (numeric) = -1.3226497953832329585105912952859 absolute error = 1.3568037178346e-18 relative error = 1.0258223473595072596725999999999e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9213 Order of pole = 5.626 x[1] = -0.9109 y[1] (analytic) = -1.3230854507800562813657462346297 y[1] (numeric) = -1.3230854507800562827248179613349 absolute error = 1.3590717267052e-18 relative error = 1.0271987541726251767008508000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9212 Order of pole = 5.626 x[1] = -0.9108 y[1] (analytic) = -1.3235212975265633420161760064847 y[1] (numeric) = -1.3235212975265633433775179839625 absolute error = 1.3613419774778e-18 relative error = 1.0285758000433518443127936000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9211 Order of pole = 5.626 x[1] = -0.9107 y[1] (analytic) = -1.3239573357278220511572449614516 y[1] (numeric) = -1.3239573357278220525208594340665 absolute error = 1.3636144726149e-18 relative error = 1.0299534855217046262076407000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.921 Order of pole = 5.626 x[1] = -0.9106 y[1] (analytic) = -1.3243935654889695583439706135537 y[1] (numeric) = -1.3243935654889695597098598281358 absolute error = 1.3658892145821e-18 relative error = 1.0313318111582716273556136000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9209 Order of pole = 5.626 x[1] = -0.9105 y[1] (analytic) = -1.3248299869152123038704361078548 y[1] (numeric) = -1.3248299869152123052386023137028 absolute error = 1.3681662058480e-18 relative error = 1.0327107775041335681909999999999e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9207 Order of pole = 5.626 x[1] = -0.9104 y[1] (analytic) = -1.325266600111826072052792050401 y[1] (numeric) = -1.3252666001118260734232374992853 absolute error = 1.3704454488843e-18 relative error = 1.0340903851109367232868352000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9206 Order of pole = 5.626 x[1] = -0.9103 y[1] (analytic) = -1.3257034051841560445590902439989 y[1] (numeric) = -1.3257034051841560459318171901641 absolute error = 1.3727269461652e-18 relative error = 1.0354706345304376914441004000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9205 Order of pole = 5.626 x[1] = -0.9102 y[1] (analytic) = -1.3261404022376168537859956420089 y[1] (numeric) = -1.3261404022376168551610063421774 absolute error = 1.3750107001685e-18 relative error = 1.0368515263153309784115480000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9204 Order of pole = 5.626 x[1] = -0.9101 y[1] (analytic) = -1.3265775913776926362824228832276 y[1] (numeric) = -1.3265775913776926376597195966021 absolute error = 1.3772967133745e-18 relative error = 1.0382330610184165383722245000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9203 Order of pole = 5.626 x[1] = -0.91 y[1] (analytic) = -1.3270149727099370862201438218827 y[1] (numeric) = -1.3270149727099370875997288101496 absolute error = 1.3795849882669e-18 relative error = 1.0396152391932760999000000000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9202 Order of pole = 5.626 x[1] = -0.9099 y[1] (analytic) = -1.3274525463399735089114125177843 y[1] (numeric) = -1.3274525463399735102932880451162 absolute error = 1.3818755273319e-18 relative error = 1.0409980613935921716165380999999e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9201 Order of pole = 5.626 x[1] = -0.9098 y[1] (analytic) = -1.3278903123734948743736542027482 y[1] (numeric) = -1.3278903123734948757578225358077 absolute error = 1.3841683330595e-18 relative error = 1.0423815281741251547629240000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.92 Order of pole = 5.626 x[1] = -0.9097 y[1] (analytic) = -1.3283282709162638709412647905538 y[1] (numeric) = -1.3283282709162638723277281984957 absolute error = 1.3864634079419e-18 relative error = 1.0437656400895053255593987000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9199 Order of pole = 5.626 x[1] = -0.9096 y[1] (analytic) = -1.3287664220741129589245675488902 y[1] (numeric) = -1.328766422074112960313328303365 absolute error = 1.3887607544748e-18 relative error = 1.0451503976952096788502528000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9198 Order of pole = 5.626 x[1] = -0.9095 y[1] (analytic) = -1.3292047659529444243159736030162 y[1] (numeric) = -1.3292047659529444257070339781728 absolute error = 1.3910603751566e-18 relative error = 1.0465358015469569453949250000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9197 Order of pole = 5.626 x[1] = -0.9094 y[1] (analytic) = -1.3296433026587304325433929921786 y[1] (numeric) = -1.3296433026587304339367552646677 absolute error = 1.3933622724891e-18 relative error = 1.0479218522012319248518344000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9196 Order of pole = 5.626 x[1] = -0.9093 y[1] (analytic) = -1.330082032297513082270943051224 y[1] (numeric) = -1.3300820322975130836666095002008 absolute error = 1.3956664489768e-18 relative error = 1.0493085502147562120983176000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9195 Order of pole = 5.626 x[1] = -0.9092 y[1] (analytic) = -1.3305209549754044592470009412851 y[1] (numeric) = -1.3305209549754044606449738484124 absolute error = 1.3979729071273e-18 relative error = 1.0506958961447867115573824000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9194 Order of pole = 5.626 memory used=175.4MB, alloc=4.5MB, time=11.99 x[1] = -0.9091 y[1] (analytic) = -1.3309600707985866901996472049373 y[1] (numeric) = -1.3309600707985866915999288543886 absolute error = 1.4002816494513e-18 relative error = 1.0520838905491130233786923000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9193 Order of pole = 5.626 x[1] = -0.909 y[1] (analytic) = -1.3313993798733119967795472727922 y[1] (numeric) = -1.3313993798733119981821399512549 absolute error = 1.4025926784627e-18 relative error = 1.0534725339861299407983000000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9192 Order of pole = 5.626 x[1] = -0.9089 y[1] (analytic) = -1.3318388823059027495503179001336 y[1] (numeric) = -1.3318388823059027509552238968117 absolute error = 1.4049059966781e-18 relative error = 1.0548618270144592960761789000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9191 Order of pole = 5.626 x[1] = -0.9088 y[1] (analytic) = -1.3322785782027515220264255638971 y[1] (numeric) = -1.3322785782027515234336471705145 absolute error = 1.4072216066174e-18 relative error = 1.0562517701933982053040128000001e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.919 Order of pole = 5.626 x[1] = -0.9087 y[1] (analytic) = -1.3327184676703211447586639020591 y[1] (numeric) = -1.3327184676703211461682034128625 absolute error = 1.4095395108034e-18 relative error = 1.0576423640826160772055102000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9189 Order of pole = 5.626 x[1] = -0.9086 y[1] (analytic) = -1.3331585508151447594672573293215 y[1] (numeric) = -1.3331585508151447608791170410836 absolute error = 1.4118597117621e-18 relative error = 1.0590336092423772876274776000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9188 Order of pole = 5.626 x[1] = -0.9085 y[1] (analytic) = -1.333598827743825873222638014869 y[1] (numeric) = -1.3335988277438258746368202268914 absolute error = 1.4141822120224e-18 relative error = 1.0604255062333134999364000000001e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9187 Order of pole = 5.626 x[1] = -0.9084 y[1] (analytic) = -1.3340392985630384126739434599213 y[1] (numeric) = -1.3340392985630384140904504740377 absolute error = 1.4165070141164e-18 relative error = 1.0618180556166461952435456000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9186 Order of pole = 5.626 x[1] = -0.9083 y[1] (analytic) = -1.334479963379526778325281964818 y[1] (numeric) = -1.3344799633795267797441160853971 absolute error = 1.4188341205791e-18 relative error = 1.0632112579539591457991517000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9185 Order of pole = 5.626 x[1] = -0.9082 y[1] (analytic) = -1.3349208223001058988598133274481 y[1] (numeric) = -1.3349208223001059002809768613971 absolute error = 1.4211635339490e-18 relative error = 1.0646051138076455334442320000001e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9184 Order of pole = 5.626 x[1] = -0.9081 y[1] (analytic) = -1.3353618754316612855116921669765 y[1] (numeric) = -1.3353618754316612869351874237435 absolute error = 1.4234952567670e-18 relative error = 1.0659996237400811162602470000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9183 Order of pole = 5.626 x[1] = -0.908 y[1] (analytic) = -1.335803122881149086485921319016 y[1] (numeric) = -1.3358031228811490879117506105936 absolute error = 1.4258292915776e-18 relative error = 1.0673947883145208410112000000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9182 Order of pole = 5.626 x[1] = -0.9079 y[1] (analytic) = -1.3362445647555961414261628006676 y[1] (numeric) = -1.3362445647555961428543284415957 absolute error = 1.4281656409281e-18 relative error = 1.0687906080944969445961959000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9181 Order of pole = 5.626 x[1] = -0.9078 y[1] (analytic) = -1.3366862011621000359305538961705 y[1] (numeric) = -1.3366862011621000373610582035399 absolute error = 1.4305043073694e-18 relative error = 1.0701870836444152349627088000001e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.918 Order of pole = 5.626 x[1] = -0.9077 y[1] (analytic) = -1.337128032207829156115575966303 y[1] (numeric) = -1.3371280322078291575484212597575 absolute error = 1.4328452934545e-18 relative error = 1.0715842155284300828867485000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9179 Order of pole = 5.626 x[1] = -0.9076 y[1] (analytic) = -1.3375700580000227432280236371227 y[1] (numeric) = -1.3375700580000227446632122388633 absolute error = 1.4351886017406e-18 relative error = 1.0729820043120130885328256000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9178 Order of pole = 5.626 x[1] = -0.9075 y[1] (analytic) = -1.3380122786459909483051220761636 y[1] (numeric) = -1.3380122786459909497426563109508 absolute error = 1.4375342347872e-18 relative error = 1.0743804505605291268500000000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9177 Order of pole = 5.626 x[1] = -0.9074 y[1] (analytic) = -1.3384546942531148868828401167779 y[1] (numeric) = -1.3384546942531148883227223119355 absolute error = 1.4398821951576e-18 relative error = 1.0757795548403554552185024000001e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9176 Order of pole = 5.626 x[1] = -0.9073 y[1] (analytic) = -1.3388973049288466937524470439688 y[1] (numeric) = -1.3388973049288466951946795293862 absolute error = 1.4422324854174e-18 relative error = 1.0771793177177579499848958000001e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9175 Order of pole = 5.626 x[1] = -0.9072 y[1] (analytic) = -1.3393401107807095777653609077597 y[1] (numeric) = -1.3393401107807095792099460158955 absolute error = 1.4445851081358e-18 relative error = 1.0785797397598601499254784000001e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9174 Order of pole = 5.626 memory used=179.2MB, alloc=4.5MB, time=12.25 x[1] = -0.9071 y[1] (analytic) = -1.3397831119162978766863362829285 y[1] (numeric) = -1.3397831119162978781332763488136 absolute error = 1.4469400658851e-18 relative error = 1.0799808215342668746077261000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9173 Order of pole = 5.626 x[1] = -0.907 y[1] (analytic) = -1.3402263084432771120950394467669 y[1] (numeric) = -1.3402263084432771135443368080078 absolute error = 1.4492973612409e-18 relative error = 1.0813825636092108856987000000001e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9172 Order of pole = 5.626 x[1] = -0.9069 y[1] (analytic) = -1.3406697004693840443360589994319 y[1] (numeric) = -1.3406697004693840457877159962132 absolute error = 1.4516569967813e-18 relative error = 1.0827849665529533584991817000001e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9171 Order of pole = 5.626 x[1] = -0.9068 y[1] (analytic) = -1.3411132881024267275174000044172 y[1] (numeric) = -1.3411132881024267289714189795052 absolute error = 1.4540189750880e-18 relative error = 1.0841880309346022734940160000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.917 Order of pole = 5.626 x[1] = -0.9067 y[1] (analytic) = -1.3415570714502845645575097797097 y[1] (numeric) = -1.3415570714502845660138930784556 absolute error = 1.4563832987459e-18 relative error = 1.0855917573238110779308217000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9169 Order of pole = 5.626 x[1] = -0.9066 y[1] (analytic) = -1.3420010506209083622808835232862 y[1] (numeric) = -1.3420010506209083637396334936291 absolute error = 1.4587499703429e-18 relative error = 1.0869961462906269730571784000001e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9168 Order of pole = 5.626 x[1] = -0.9065 y[1] (analytic) = -1.3424452257223203865622980097657 y[1] (numeric) = -1.3424452257223203880234170022355 absolute error = 1.4611189924698e-18 relative error = 1.0884011984054139904538250000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9167 Order of pole = 5.626 x[1] = -0.9064 y[1] (analytic) = -1.3428895968626144175197216482577 y[1] (numeric) = -1.3428895968626144189832120159787 absolute error = 1.4634903677210e-18 relative error = 1.0898069142393719486858240000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9166 Order of pole = 5.626 x[1] = -0.9063 y[1] (analytic) = -1.343334164149955804755949244736 y[1] (numeric) = -1.3433341641499558062218133434297 absolute error = 1.4658640986937e-18 relative error = 1.0912132943639377523367039000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9165 Order of pole = 5.626 x[1] = -0.9062 y[1] (analytic) = -1.3437789276925815226490098656179 y[1] (numeric) = -1.3437789276925815241172500536063 absolute error = 1.4682401879884e-18 relative error = 1.0926203393511552973585952000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9164 Order of pole = 5.626 x[1] = -0.9061 y[1] (analytic) = -1.3442238875988002256913962526486 y[1] (numeric) = -1.3442238875988002271620148908574 absolute error = 1.4706186382088e-18 relative error = 1.0940280497735982851812328000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9163 Order of pole = 5.626 x[1] = -0.906 y[1] (analytic) = -1.3446690439769923038781642926751 y[1] (numeric) = -1.3446690439769923053511637446365 absolute error = 1.4729994519614e-18 relative error = 1.0954364262040700837423999999999e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9162 Order of pole = 5.626 x[1] = -0.9059 y[1] (analytic) = -1.345114396935609938143951099436 y[1] (numeric) = -1.3451143969356099396193337312928 absolute error = 1.4753826318568e-18 relative error = 1.0968454692165680147793272000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9161 Order of pole = 5.626 x[1] = -0.9058 y[1] (analytic) = -1.3455599465831771558489603181158 y[1] (numeric) = -1.3455599465831771573267284986232 absolute error = 1.4777681805074e-18 relative error = 1.0982551793845702568870287999999e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.916 Order of pole = 5.626 x[1] = -0.9057 y[1] (analytic) = -1.3460056930282898863139633170772 y[1] (numeric) = -1.3460056930282898877941194176073 absolute error = 1.4801561005301e-18 relative error = 1.0996655572830408425331093000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9159 Order of pole = 5.626 x[1] = -0.9056 y[1] (analytic) = -1.3464516363796160164043649849437 y[1] (numeric) = -1.3464516363796160178869113794877 absolute error = 1.4825463945440e-18 relative error = 1.1010766034867172058071040000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9158 Order of pole = 5.626 x[1] = -0.9055 y[1] (analytic) = -1.3468977767458954461633829049975 y[1] (numeric) = -1.3468977767458954476483219701694 absolute error = 1.4849390651719e-18 relative error = 1.1024883185712224264073624999999e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9157 Order of pole = 5.626 x[1] = -0.9054 y[1] (analytic) = -1.3473441142359401444943887327445 y[1] (numeric) = -1.3473441142359401459817228477844 absolute error = 1.4873341150399e-18 relative error = 1.1039007031127650798496136000001e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9156 Order of pole = 5.626 x[1] = -0.9053 y[1] (analytic) = -1.3477906489586342048924606564299 y[1] (numeric) = -1.3477906489586342063821922032065 absolute error = 1.4897315467766e-18 relative error = 1.1053137576875428985336782000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9155 Order of pole = 5.626 x[1] = -0.9052 y[1] (analytic) = -1.3482373810229339012251958742932 y[1] (numeric) = -1.3482373810229339027173272373077 absolute error = 1.4921313630145e-18 relative error = 1.1067274828727793753588160000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9154 Order of pole = 5.626 memory used=183.1MB, alloc=4.5MB, time=12.52 x[1] = -0.9051 y[1] (analytic) = -1.3486843105378677435628320764271 y[1] (numeric) = -1.3486843105378677450573656428162 absolute error = 1.4945335663891e-18 relative error = 1.1081418792460529387062041000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9153 Order of pole = 5.626 x[1] = -0.905 y[1] (analytic) = -1.3491314376125365340577269732354 y[1] (numeric) = -1.3491314376125365355546651327743 absolute error = 1.4969381595389e-18 relative error = 1.1095569473852945531125000000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9152 Order of pole = 5.626 x[1] = -0.9049 y[1] (analytic) = -1.3495787623561134228732449666884 y[1] (numeric) = -1.3495787623561134243725901117942 absolute error = 1.4993451451058e-18 relative error = 1.1109726878690817108488641999999e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9151 Order of pole = 5.626 x[1] = -0.9048 y[1] (analytic) = -1.3500262848778439641621001148443 y[1] (numeric) = -1.3500262848778439656638546405794 absolute error = 1.5017545257351e-18 relative error = 1.1123891012766355455969792000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.915 Order of pole = 5.626 x[1] = -0.9047 y[1] (analytic) = -1.3504740052870461720942045944385 y[1] (numeric) = -1.3504740052870461735983708985132 absolute error = 1.5041663040747e-18 relative error = 1.1138061881872255639796781000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9149 Order of pole = 5.626 x[1] = -0.9046 y[1] (analytic) = -1.3509219236931105769340719207382 y[1] (numeric) = -1.3509219236931105784406524035146 absolute error = 1.5065804827764e-18 relative error = 1.1152239491811300520084704000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9148 Order of pole = 5.626 x[1] = -0.9045 y[1] (analytic) = -1.3513700402055002811678242383341 y[1] (numeric) = -1.3513700402055002826768213028289 absolute error = 1.5089970644948e-18 relative error = 1.1166423848388185932786500000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9147 Order of pole = 5.626 x[1] = -0.9044 y[1] (analytic) = -1.3518183549337510156798530510655 y[1] (numeric) = -1.3518183549337510171912691029533 absolute error = 1.5114160518878e-18 relative error = 1.1180614957413198006919552000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9146 Order of pole = 5.626 x[1] = -0.9043 y[1] (analytic) = -1.3522668679874711959791828138784 y[1] (numeric) = -1.3522668679874711974930202614952 absolute error = 1.5138374476168e-18 relative error = 1.1194812824703664643753175999999e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9145 Order of pole = 5.626 x[1] = -0.9042 y[1] (analytic) = -1.3527155794763419784755868640806 y[1] (numeric) = -1.3527155794763419799918481184269 absolute error = 1.5162612543463e-18 relative error = 1.1209017456080968553850744000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9144 Order of pole = 5.626 x[1] = -0.9041 y[1] (analytic) = -1.3531644895101173168055052241887 y[1] (numeric) = -1.3531644895101173183241926989325 absolute error = 1.5186874747438e-18 relative error = 1.1223228857369783230680398000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9143 Order of pole = 5.626 x[1] = -0.904 y[1] (analytic) = -1.3536135981986240182078138633596 y[1] (numeric) = -1.3536135981986240197289299748398 absolute error = 1.5211161114802e-18 relative error = 1.1237447034401004233728000000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9142 Order of pole = 5.626 x[1] = -0.9039 y[1] (analytic) = -1.3540629056517617999494950592671 y[1] (numeric) = -1.3540629056517618014730422264967 absolute error = 1.5235471672296e-18 relative error = 1.1251671993010243500758423999999e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9141 Order of pole = 5.626 x[1] = -0.9038 y[1] (analytic) = -1.3545124119795033458012585572119 y[1] (numeric) = -1.3545124119795033473272392018817 absolute error = 1.5259806446698e-18 relative error = 1.1265903739041494536836655999999e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.914 Order of pole = 5.626 x[1] = -0.9037 y[1] (analytic) = -1.3549621172918943625631632782566 y[1] (numeric) = -1.3549621172918943640915798247379 absolute error = 1.5284165464813e-18 relative error = 1.1280142278339719855091889000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9139 Order of pole = 5.626 x[1] = -0.9036 y[1] (analytic) = -1.3554120216990536366402893832373 y[1] (numeric) = -1.3554120216990536381711442585853 absolute error = 1.5308548753480e-18 relative error = 1.1294387616755995454522880000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9138 Order of pole = 5.626 x[1] = -0.9035 y[1] (analytic) = -1.3558621253111730906685105546417 y[1] (numeric) = -1.3558621253111730922018061885989 absolute error = 1.5332956339572e-18 relative error = 1.1308639760147482263049500000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9137 Order of pole = 5.626 x[1] = -0.9034 y[1] (analytic) = -1.3563124282385178401904164135393 y[1] (numeric) = -1.3563124282385178417261552385386 absolute error = 1.5357388249993e-18 relative error = 1.1322898714375185725240872000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9136 Order of pole = 5.626 x[1] = -0.9033 y[1] (analytic) = -1.3567629305914262503814350440189 y[1] (numeric) = -1.3567629305914262519196194951872 absolute error = 1.5381844511683e-18 relative error = 1.1337164485307616208600971000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9135 Order of pole = 5.626 x[1] = -0.9032 y[1] (analytic) = -1.3572136324803099928262056529216 y[1] (numeric) = -1.3572136324803099943668381680827 absolute error = 1.5406325151611e-18 relative error = 1.1351437078815600444917248000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9134 Order of pole = 5.626 memory used=186.9MB, alloc=4.5MB, time=12.79 x[1] = -0.9031 y[1] (analytic) = -1.357664534015654102345251448059 y[1] (numeric) = -1.3576645340156541038883344677371 absolute error = 1.5430830196781e-18 relative error = 1.1365716500776678541909771000001e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9133 Order of pole = 5.626 x[1] = -0.903 y[1] (analytic) = -1.3581156353080170338720028735771 y[1] (numeric) = -1.3581156353080170354175388409999 absolute error = 1.5455359674228e-18 relative error = 1.1380002757072129064556000000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9132 Order of pole = 5.626 x[1] = -0.9029 y[1] (analytic) = -1.3585669364680307193802213966615 y[1] (numeric) = -1.3585669364680307209282127577639 absolute error = 1.5479913611024e-18 relative error = 1.1394295853591360709232336000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9131 Order of pole = 5.626 x[1] = -0.9028 y[1] (analytic) = -1.3590184376064006248618740953859 y[1] (numeric) = -1.3590184376064006264123232988128 absolute error = 1.5504492034269e-18 relative error = 1.1408595796225257818465088000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.913 Order of pole = 5.626 x[1] = -0.9027 y[1] (analytic) = -1.3594701388339058073555093531751 y[1] (numeric) = -1.3594701388339058089084188502852 absolute error = 1.5529094971101e-18 relative error = 1.1422902590873515158163983000001e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9129 Order of pole = 5.626 x[1] = -0.9026 y[1] (analytic) = -1.3599220402613989720251840210993 y[1] (numeric) = -1.3599220402613989735805562659676 absolute error = 1.5553722448683e-18 relative error = 1.1437216243435045314168407999999e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9128 Order of pole = 5.626 x[1] = -0.9025 y[1] (analytic) = -1.3603741419998065292899924650152 y[1] (numeric) = -1.3603741419998065308478299144376 absolute error = 1.5578374494224e-18 relative error = 1.1451536759823398302250000000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9127 Order of pole = 5.626 x[1] = -0.9024 y[1] (analytic) = -1.3608264441601286520042479704597 y[1] (numeric) = -1.3608264441601286535645530839552 absolute error = 1.5603051134955e-18 relative error = 1.1465864145949082269777920000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9126 Order of pole = 5.626 x[1] = -0.9023 y[1] (analytic) = -1.3612789468534393326883670341298 y[1] (numeric) = -1.361278946853439334251142273944 absolute error = 1.5627752398142e-18 relative error = 1.1480198407729099728379713999999e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9125 Order of pole = 5.626 x[1] = -0.9022 y[1] (analytic) = -1.3617316501908864408105071268075 y[1] (numeric) = -1.3617316501908864423757549579166 absolute error = 1.5652478311091e-18 relative error = 1.1494539551090589879684968000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9124 Order of pole = 5.626 x[1] = -0.9021 y[1] (analytic) = -1.3621845542836917801190085686652 y[1] (numeric) = -1.3621845542836917816867314587785 absolute error = 1.5677228901133e-18 relative error = 1.1508887581959781343023713000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9123 Order of pole = 5.626 x[1] = -0.902 y[1] (analytic) = -1.3626376592431511460256912140318 y[1] (numeric) = -1.3626376592431511475958916335955 absolute error = 1.5702004195637e-18 relative error = 1.1523242506271515264696000000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9122 Order of pole = 5.626 x[1] = -0.9019 y[1] (analytic) = -1.3630909651806343830400566989254 y[1] (numeric) = -1.3630909651806343846127371211259 absolute error = 1.5726804222005e-18 relative error = 1.1537604329965544126467295000001e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9121 Order of pole = 5.626 x[1] = -0.9018 y[1] (analytic) = -1.3635444722075854422544470609391 y[1] (numeric) = -1.3635444722075854438296099617061 absolute error = 1.5751629007670e-18 relative error = 1.1551973058985038049891440000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.912 Order of pole = 5.626 x[1] = -0.9017 y[1] (analytic) = -1.3639981804355224388802105974215 y[1] (numeric) = -1.3639981804355224404578584554316 absolute error = 1.5776478580101e-18 relative error = 1.1566348699280226023139213000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9119 Order of pole = 5.626 x[1] = -0.9016 y[1] (analytic) = -1.3644520899760377098349258843212 y[1] (numeric) = -1.3644520899760377114150611810012 absolute error = 1.5801352966800e-18 relative error = 1.1580731256806166673612800000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9117 Order of pole = 5.626 x[1] = -0.9015 y[1] (analytic) = -1.3649062009407978713807349345526 y[1] (numeric) = -1.3649062009407978729633601540828 absolute error = 1.5826252195302e-18 relative error = 1.1595120737522721408794250000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9116 Order of pole = 5.626 x[1] = -0.9014 y[1] (analytic) = -1.3653605134415438768138365313037 y[1] (numeric) = -1.3653605134415438783989541606213 absolute error = 1.5851176293176e-18 relative error = 1.1609517147395259987866944000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9115 Order of pole = 5.626 x[1] = -0.9013 y[1] (analytic) = -1.3658150275900910742051908283385 y[1] (numeric) = -1.3658150275900910757928033571409 absolute error = 1.5876125288024e-18 relative error = 1.1623920492393900327300728000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9114 Order of pole = 5.626 x[1] = -0.9012 y[1] (analytic) = -1.3662697434983292641924863660426 y[1] (numeric) = -1.3662697434983292657825962867909 absolute error = 1.5901099207483e-18 relative error = 1.1638330778494945552434623999999e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9113 memory used=190.7MB, alloc=4.5MB, time=13.05 Order of pole = 5.626 x[1] = -0.9011 y[1] (analytic) = -1.366724661278222757823420708734 y[1] (numeric) = -1.3667246612782227594160305166564 absolute error = 1.5926098079224e-18 relative error = 1.1652748011680123120255144000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9112 Order of pole = 5.626 x[1] = -0.901 y[1] (analytic) = -1.3671797810418104344503459655956 y[1] (numeric) = -1.3671797810418104360454581586904 absolute error = 1.5951121930948e-18 relative error = 1.1667172197933631130548000000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9111 Order of pole = 5.626 x[1] = -0.9009 y[1] (analytic) = -1.3676351029012057996763305144937 y[1] (numeric) = -1.3676351029012058012739475935333 absolute error = 1.5976170790396e-18 relative error = 1.1681603343249427154250684000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.911 Order of pole = 5.626 x[1] = -0.9008 y[1] (analytic) = -1.368090626968597043352688304929 y[1] (numeric) = -1.3680906269685970449528127734627 absolute error = 1.6001244685337e-18 relative error = 1.1696041453622421669228544000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9109 Order of pole = 5.626 x[1] = -0.9007 y[1] (analytic) = -1.3685463533562470976280271734042 y[1] (numeric) = -1.368546353356247099230661537762 absolute error = 1.6026343643578e-18 relative error = 1.1710486535055764501441254000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9108 Order of pole = 5.626 x[1] = -0.9006 y[1] (analytic) = -1.3690022821764936950488676616179 y[1] (numeric) = -1.3690022821764936966540144309136 absolute error = 1.6051467692957e-18 relative error = 1.1724938593555698881882712000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9107 Order of pole = 5.626 x[1] = -0.9005 y[1] (analytic) = -1.3694584135417494267118838850742 y[1] (numeric) = -1.369458413541749428319545571209 absolute error = 1.6076616861348e-18 relative error = 1.1739397635135188337568499999999e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9106 Order of pole = 5.626 x[1] = -0.9004 y[1] (analytic) = -1.3699147475645018004678180569566 y[1] (numeric) = -1.3699147475645018020779971746225 absolute error = 1.6101791176659e-18 relative error = 1.1753863665812426499994175999999e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9105 Order of pole = 5.626 x[1] = -0.9003 y[1] (analytic) = -1.3703712843573132991771203294401 y[1] (numeric) = -1.3703712843573133007898193961233 absolute error = 1.6126990666832e-18 relative error = 1.1768336691610809316180464000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9104 Order of pole = 5.626 x[1] = -0.9002 y[1] (analytic) = -1.3708280240328214390173656720107 y[1] (numeric) = -1.3708280240328214406325872079948 absolute error = 1.6152215359841e-18 relative error = 1.1782816718557448311706728000000e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9103 Order of pole = 5.626 x[1] = -0.9001 y[1] (analytic) = -1.371284966703738827842499563828 y[1] (numeric) = -1.3712849667037388294602460921979 absolute error = 1.6177465283699e-18 relative error = 1.1797303752688249982156699000001e-16 % h = 0.0001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 0.9102 Order of pole = 5.626 x[1] = -0.9 y[1] (analytic) = -1.3717421124828532235939643347051 y[1] (numeric) = -1.3717421124828532252142383813497 absolute error = 1.6202740466446e-18 relative error = 1.1811797800039134000000000000000e-16 % h = 0.0001 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = m1 * 3.0 / x / x / x / x ; Iterations = 1000 Total Elapsed Time = 13 Seconds Elapsed Time(since restart) = 13 Seconds Expected Time Remaining = 26 Seconds Optimized Time Remaining = 26 Seconds Time to Timeout = 14 Minutes 46 Seconds Percent Done = 33.37 % > quit memory used=192.9MB, alloc=4.5MB, time=13.20