|\^/| 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 > check_sign := proc( x0 ,xf) > local ret; > if (xf > x0) then # if number 1 > ret := 1.0; > else > ret := -1.0; > fi;# end if 1; > ret;; > end; check_sign := proc(x0, xf) local ret; if x0 < xf then ret := 1.0 else ret := -1.0 end if; ret end proc > # End Function number 3 > # Begin Function number 4 > est_size_answer := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_0D1, > array_const_0D2, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3_a1, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local min_size; > min_size := glob_large_float; > if (omniabs(array_y[1]) < min_size) then # if number 1 > min_size := omniabs(array_y[1]); > omniout_float(ALWAYS,"min_size",32,min_size,32,""); > fi;# end if 1; > if (min_size < 1.0) then # if number 1 > min_size := 1.0; > omniout_float(ALWAYS,"min_size",32,min_size,32,""); > fi;# end if 1; > min_size; > end; est_size_answer := proc() local min_size; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_0D1, array_const_0D2, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3_a1, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; min_size := glob_large_float; if omniabs(array_y[1]) < min_size then min_size := omniabs(array_y[1]); omniout_float(ALWAYS, "min_size", 32, min_size, 32, "") end if; if min_size < 1.0 then min_size := 1.0; omniout_float(ALWAYS, "min_size", 32, min_size, 32, "") end if; min_size end proc > # End Function number 4 > # Begin Function number 5 > test_suggested_h := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_0D1, > array_const_0D2, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3_a1, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local max_value3,hn_div_ho,hn_div_ho_2,hn_div_ho_3,value3,no_terms; > max_value3 := 0.0; > no_terms := glob_max_terms; > hn_div_ho := 0.5; > hn_div_ho_2 := 0.25; > hn_div_ho_3 := 0.125; > omniout_float(ALWAYS,"hn_div_ho",32,hn_div_ho,32,""); > omniout_float(ALWAYS,"hn_div_ho_2",32,hn_div_ho_2,32,""); > omniout_float(ALWAYS,"hn_div_ho_3",32,hn_div_ho_3,32,""); > value3 := omniabs(array_y[no_terms-3] + array_y[no_terms - 2] * hn_div_ho + array_y[no_terms - 1] * hn_div_ho_2 + array_y[no_terms] * hn_div_ho_3); > if (value3 > max_value3) then # if number 1 > max_value3 := value3; > omniout_float(ALWAYS,"value3",32,value3,32,""); > fi;# end if 1; > omniout_float(ALWAYS,"max_value3",32,max_value3,32,""); > max_value3; > end; test_suggested_h := proc() local max_value3, hn_div_ho, hn_div_ho_2, hn_div_ho_3, value3, no_terms; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_0D1, array_const_0D2, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3_a1, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; max_value3 := 0.; no_terms := glob_max_terms; hn_div_ho := 0.5; hn_div_ho_2 := 0.25; hn_div_ho_3 := 0.125; omniout_float(ALWAYS, "hn_div_ho", 32, hn_div_ho, 32, ""); omniout_float(ALWAYS, "hn_div_ho_2", 32, hn_div_ho_2, 32, ""); omniout_float(ALWAYS, "hn_div_ho_3", 32, hn_div_ho_3, 32, ""); value3 := omniabs(array_y[no_terms - 3] + array_y[no_terms - 2]*hn_div_ho + array_y[no_terms - 1]*hn_div_ho_2 + array_y[no_terms]*hn_div_ho_3); if max_value3 < value3 then max_value3 := value3; omniout_float(ALWAYS, "value3", 32, value3, 32, "") end if; omniout_float(ALWAYS, "max_value3", 32, max_value3, 32, ""); max_value3 end proc > # End Function number 5 > # Begin Function number 6 > reached_interval := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_0D1, > array_const_0D2, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3_a1, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local ret; > if (glob_check_sign * (array_x[1]) >= glob_check_sign * glob_next_display) then # if number 1 > ret := true; > else > ret := false; > fi;# end if 1; > return(ret); > end; reached_interval := proc() local ret; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_0D1, array_const_0D2, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3_a1, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; if glob_check_sign*glob_next_display <= glob_check_sign*array_x[1] then ret := true else ret := false end if; return ret end proc > # End Function number 6 > # Begin Function number 7 > display_alot := proc(iter) > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_0D1, > array_const_0D2, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3_a1, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no; > #TOP DISPLAY ALOT > if (reached_interval()) then # if number 1 > if (iter >= 0) then # if number 2 > 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 := omniabs(numeric_val - analytic_val_y); > omniout_float(ALWAYS,"y[1] (numeric) ",33,numeric_val,20," "); > if (omniabs(analytic_val_y) <> 0.0) then # if number 3 > relerr := abserr*100.0/omniabs(analytic_val_y); > if (relerr > 0.0000000000000000000000000000000001) then # if number 4 > glob_good_digits := -trunc(log10(relerr)) + 2; > else > glob_good_digits := Digits; > fi;# end if 4; > else > relerr := -1.0 ; > glob_good_digits := -1; > fi;# end if 3; > if (glob_iter = 1) then # if number 3 > array_1st_rel_error[1] := relerr; > else > array_last_rel_error[1] := relerr; > fi;# end if 3; > omniout_float(ALWAYS,"absolute error ",4,abserr,20," "); > omniout_float(ALWAYS,"relative error ",4,relerr,20,"%"); > omniout_int(INFO,"Correct digits ",32,glob_good_digits,4," ") > ; > omniout_float(ALWAYS,"h ",4,glob_h,20," "); > fi;# end if 2; > #BOTTOM DISPLAY ALOT > fi;# end if 1; > end; display_alot := proc(iter) local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_0D1, array_const_0D2, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3_a1, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; if reached_interval() then 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 := omniabs(numeric_val - analytic_val_y); omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val, 20, " "); if omniabs(analytic_val_y) <> 0. then relerr := abserr*100.0/omniabs(analytic_val_y); if 0.1*10^(-33) < relerr then glob_good_digits := -trunc(log10(relerr)) + 2 else glob_good_digits := Digits end if else relerr := -1.0; glob_good_digits := -1 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_int(INFO, "Correct digits ", 32, glob_good_digits, 4, " "); omniout_float(ALWAYS, "h ", 4, glob_h, 20, " ") end if end if end proc > # End Function number 7 > # Begin Function number 8 > adjust_for_pole := proc(h_param) > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_0D1, > array_const_0D2, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3_a1, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local hnew, sz2, tmp; > #TOP ADJUST FOR POLE > hnew := h_param; > glob_normmax := glob_small_float; > if (omniabs(array_y_higher[1,1]) > glob_small_float) then # if number 1 > tmp := omniabs(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 (omniabs(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"); > 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 > return(hnew); > #BOTTOM ADJUST FOR POLE > end; adjust_for_pole := proc(h_param) local hnew, sz2, tmp; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_0D1, array_const_0D2, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3_a1, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; hnew := h_param; glob_normmax := glob_small_float; if glob_small_float < omniabs(array_y_higher[1, 1]) then tmp := omniabs(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 < omniabs(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"); 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; return hnew end proc > # End Function number 8 > # Begin Function number 9 > prog_report := proc(x_start,x_end) > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_0D1, > array_const_0D2, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3_a1, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > 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)); > glob_total_exp_sec := glob_optimal_expect_sec + total_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)); > omniout_str_noeol(INFO,"Expected Total Time "); > omniout_timestr(convfloat(glob_total_exp_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; 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, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_0D1, array_const_0D2, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3_a1, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, 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)); glob_total_exp_sec := glob_optimal_expect_sec + total_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)); omniout_str_noeol(INFO, "Expected Total Time "); omniout_timestr(convfloat(glob_total_exp_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 > # End Function number 9 > # Begin Function number 10 > check_for_pole := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_0D1, > array_const_0D2, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3_a1, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local cnt, dr1, dr2, ds1, ds2, hdrc,hdrc_BBB, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term; > #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 ((omniabs(array_y_higher[1,m]) < glob_small_float * glob_small_float) or (omniabs(array_y_higher[1,m-1]) < glob_small_float * glob_small_float) or (omniabs(array_y_higher[1,m-2]) < glob_small_float * 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)*rm0-convfloat(m-1)*rm1; > if (omniabs(hdrc) > glob_small_float * glob_small_float) then # if number 2 > rcs := glob_h/hdrc; > ord_no := (rm1*convfloat((m-2)*(m-2))-rm0*convfloat(m-3))/hdrc; > 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 (omniabs(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 > rad_c := glob_large_float; > ord_no := glob_large_float; > elif > (((omniabs(array_y_higher[1,m]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-1]) >=(glob_large_float)) or (omniabs(array_y_higher[1,m-2]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-3]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-4]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-5]) >= (glob_large_float))) or ((omniabs(array_y_higher[1,m]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-1]) <=(glob_small_float)) or (omniabs(array_y_higher[1,m-2]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-3]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-4]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-5]) <= (glob_small_float)))) then # if number 2 > rad_c := glob_large_float; > ord_no := 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 ((omniabs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (omniabs(dr1) <= glob_small_float)) then # if number 3 > rad_c := glob_large_float; > ord_no := glob_large_float; > else > if (omniabs(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 (omniabs(rcs) > glob_small_float) then # if number 5 > if (rcs > 0.0) then # if number 6 > rad_c := sqrt(rcs) * omniabs(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_sing := 0; > #TOP WHICH RADII EQ = 1 > if (1 <> found_sing 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_sing := 1; > array_type_pole[1] := 2; > if (glob_display_flag) then # if number 3 > if (reached_interval()) then # if number 4 > omniout_str(ALWAYS,"Complex estimate of poles used for equation 1"); > fi;# end if 4; > fi;# end if 3; > fi;# end if 2; > if (1 <> found_sing 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] > -1.0 * glob_smallish_float) 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_sing := 1; > array_type_pole[1] := 1; > if (glob_display_flag) then # if number 3 > if (reached_interval()) then # if number 4 > omniout_str(ALWAYS,"Real estimate of pole used for equation 1"); > fi;# end if 4; > fi;# end if 3; > fi;# end if 2; > if (1 <> found_sing 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_sing := 1; > array_type_pole[1] := 3; > if (reached_interval()) then # if number 3 > omniout_str(ALWAYS,"NO POLE for equation 1"); > fi;# end if 3; > fi;# end if 2; > if (1 <> found_sing 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] > -1.0 * glob_smallish_float))) then # if number 2 > array_poles[1,1] := array_real_pole[1,1]; > array_poles[1,2] := array_real_pole[1,2]; > found_sing := 1; > array_type_pole[1] := 1; > if (glob_display_flag) then # if number 3 > if (reached_interval()) then # if number 4 > omniout_str(ALWAYS,"Real estimate of pole used for equation 1"); > fi;# end if 4; > fi;# end if 3; > fi;# end if 2; > if (1 <> found_sing 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_sing := 1; > if (glob_display_flag) then # if number 3 > if (reached_interval()) then # if number 4 > omniout_str(ALWAYS,"Complex estimate of poles used for equation 1"); > fi;# end if 4; > fi;# end if 3; > fi;# end if 2; > if (1 <> found_sing ) then # if number 2 > array_poles[1,1] := glob_large_float; > array_poles[1,2] := glob_large_float; > array_type_pole[1] := 3; > if (reached_interval()) then # if number 3 > omniout_str(ALWAYS,"NO POLE for equation 1"); > 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 > #START ADJUST ALL SERIES > if (array_pole[1] * glob_ratio_of_radius < omniabs(glob_h)) then # if number 2 > h_new := array_pole[1] * glob_ratio_of_radius; > term := 1; > ratio := 1.0; > while (term <= glob_max_terms) do # do number 2 > array_y[term] := array_y[term]* ratio; > array_y_higher[1,term] := array_y_higher[1,term]* ratio; > array_x[term] := array_x[term]* ratio; > ratio := ratio * h_new / omniabs(glob_h); > term := term + 1; > od;# end do number 2; > glob_h := h_new; > fi;# end if 2; > #BOTTOM ADJUST ALL SERIES > if (reached_interval()) then # if number 2 > display_pole(); > fi;# end if 2 > end; check_for_pole := proc() local cnt, dr1, dr2, ds1, ds2, hdrc, hdrc_BBB, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_0D1, array_const_0D2, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3_a1, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; n := glob_max_terms; m := n - 2; while 10 <= m and ( omniabs(array_y_higher[1, m]) < glob_small_float*glob_small_float or omniabs(array_y_higher[1, m - 1]) < glob_small_float*glob_small_float or omniabs(array_y_higher[1, m - 2]) < glob_small_float*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)*rm0 - convfloat(m - 1)*rm1; if glob_small_float*glob_small_float < omniabs(hdrc) then rcs := glob_h/hdrc; ord_no := ( rm1*convfloat((m - 2)*(m - 2)) - rm0*convfloat(m - 3))/hdrc ; 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 < omniabs(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 rad_c := glob_large_float; ord_no := glob_large_float elif glob_large_float <= omniabs(array_y_higher[1, m]) or glob_large_float <= omniabs(array_y_higher[1, m - 1]) or glob_large_float <= omniabs(array_y_higher[1, m - 2]) or glob_large_float <= omniabs(array_y_higher[1, m - 3]) or glob_large_float <= omniabs(array_y_higher[1, m - 4]) or glob_large_float <= omniabs(array_y_higher[1, m - 5]) or omniabs(array_y_higher[1, m]) <= glob_small_float or omniabs(array_y_higher[1, m - 1]) <= glob_small_float or omniabs(array_y_higher[1, m - 2]) <= glob_small_float or omniabs(array_y_higher[1, m - 3]) <= glob_small_float or omniabs(array_y_higher[1, m - 4]) <= glob_small_float or omniabs(array_y_higher[1, m - 5]) <= glob_small_float then rad_c := glob_large_float; ord_no := 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 omniabs(nr1*dr2 - nr2*dr1) <= glob_small_float or omniabs(dr1) <= glob_small_float then rad_c := glob_large_float; ord_no := glob_large_float else if glob_small_float < omniabs(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 < omniabs(rcs) then if 0. < rcs then rad_c := sqrt(rcs)*omniabs(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_sing := 0; if 1 <> found_sing 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_sing := 1; array_type_pole[1] := 2; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Complex estimate of poles used for equation 1") end if end if end if; if 1 <> found_sing 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 -1.0*glob_smallish_float < 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_sing := 1; array_type_pole[1] := 1; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Real estimate of pole used for equation 1") end if end if end if; if 1 <> found_sing 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_sing := 1; array_type_pole[1] := 3; if reached_interval() then omniout_str(ALWAYS, "NO POLE for equation 1") end if end if; if 1 <> found_sing and array_real_pole[1, 1] < array_complex_pole[1, 1] and 0. < array_real_pole[1, 1] and -1.0*glob_smallish_float < 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_sing := 1; array_type_pole[1] := 1; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Real estimate of pole used for equation 1") end if end if end if; if 1 <> found_sing 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_sing := 1; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Complex estimate of poles used for equation 1") end if end if end if; if 1 <> found_sing then array_poles[1, 1] := glob_large_float; array_poles[1, 2] := glob_large_float; array_type_pole[1] := 3; if reached_interval() then omniout_str(ALWAYS, "NO POLE for equation 1") 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; if array_pole[1]*glob_ratio_of_radius < omniabs(glob_h) then h_new := array_pole[1]*glob_ratio_of_radius; term := 1; ratio := 1.0; while term <= glob_max_terms do array_y[term] := array_y[term]*ratio; array_y_higher[1, term] := array_y_higher[1, term]*ratio; array_x[term] := array_x[term]*ratio; ratio := ratio*h_new/omniabs(glob_h); term := term + 1 end do; glob_h := h_new end if; if reached_interval() then display_pole() end if end proc > # End Function number 10 > # Begin Function number 11 > get_norms := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_0D1, > array_const_0D2, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3_a1, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local iii; > if ( not glob_initial_pass) then # if number 2 > iii := 1; > while (iii <= glob_max_terms) do # do number 2 > array_norms[iii] := 0.0; > iii := iii + 1; > od;# end do number 2; > #TOP GET NORMS > iii := 1; > while (iii <= glob_max_terms) do # do number 2 > if (omniabs(array_y[iii]) > array_norms[iii]) then # if number 3 > array_norms[iii] := omniabs(array_y[iii]); > fi;# end if 3; > iii := iii + 1; > od;# end do number 2 > #BOTTOM GET NORMS > ; > fi;# end if 2; > end; get_norms := proc() local iii; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_0D1, array_const_0D2, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3_a1, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; if not glob_initial_pass then iii := 1; while iii <= glob_max_terms do array_norms[iii] := 0.; iii := iii + 1 end do; iii := 1; while iii <= glob_max_terms do if array_norms[iii] < omniabs(array_y[iii]) then array_norms[iii] := omniabs(array_y[iii]) end if; iii := iii + 1 end do end if end proc > # End Function number 11 > # Begin Function number 12 > atomall := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_0D1, > array_const_0D2, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3_a1, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local kkk, order_d, adj2, adj3 , temporary, term; > #TOP ATOMALL > #END OUTFILE1 > #BEGIN ATOMHDR1 > #emit pre mult CONST - LINEAR $eq_no = 1 i = 1 > array_tmp1[1] := array_const_0D1[1] * array_x[1]; > #emit pre add LINEAR - CONST $eq_no = 1 i = 1 > array_tmp2[1] := array_tmp1[1] + array_const_0D2[1]; > #emit pre asin ID_LINEAR iii = 1 $eq_no = 1 > #emit pre asin 1 $eq_no = 1 > array_tmp3[1] := arcsin(array_tmp2[1]); > array_tmp3_a1[1] := cos(array_tmp3[1]); > #emit pre add CONST FULL $eq_no = 1 i = 1 > array_tmp4[1] := array_const_0D0[1] + array_tmp3[1]; > #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5 > if ( not array_y_set_initial[1,2]) then # if number 1 > if (1 <= glob_max_terms) then # if number 2 > temporary := array_tmp4[1] * expt(glob_h , (1)) * factorial_3(0,1); > array_y[2] := temporary; > array_y_higher[1,2] := temporary; > temporary := temporary / glob_h * (1.0); > array_y_higher[2,1] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 2; > #END ATOMHDR1 > #BEGIN ATOMHDR2 > #emit pre mult CONST - LINEAR $eq_no = 1 i = 2 > array_tmp1[2] := array_const_0D1[1] * array_x[2]; > #emit pre add LINEAR - CONST $eq_no = 1 i = 2 > array_tmp2[2] := array_tmp1[2]; > #emit pre asin ID_LINEAR iii = 2 $eq_no = 1 > #emit pre asin 1 $eq_no = 1 > array_tmp3[2] := array_tmp2[2] / array_tmp3_a1[1]; > array_tmp3_a1[2] := -array_tmp2[1] * array_tmp3[2]; > #emit pre add CONST FULL $eq_no = 1 i = 2 > array_tmp4[2] := array_tmp3[2]; > #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5 > if ( not array_y_set_initial[1,3]) then # if number 1 > if (2 <= glob_max_terms) then # if number 2 > temporary := array_tmp4[2] * expt(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 asin ID_LINEAR iii = 3 $eq_no = 1 > array_tmp3[3] := - att(2,array_tmp3_a1,array_tmp3,2) / array_tmp3_a1[1]; > array_tmp3_a1[3] := -array_tmp3[3] * array_tmp2[1] - array_tmp3[2] * array_tmp2[2] * 1 / 2; > #emit pre add CONST FULL $eq_no = 1 i = 3 > array_tmp4[3] := array_tmp3[3]; > #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5 > if ( not array_y_set_initial[1,4]) then # if number 1 > if (3 <= glob_max_terms) then # if number 2 > temporary := array_tmp4[3] * expt(glob_h , (1)) * factorial_3(2,3); > array_y[4] := temporary; > array_y_higher[1,4] := temporary; > temporary := temporary / glob_h * (3.0); > array_y_higher[2,3] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 4; > #END ATOMHDR3 > #BEGIN ATOMHDR4 > #emit pre asin ID_LINEAR iii = 4 $eq_no = 1 > array_tmp3[4] := - att(3,array_tmp3_a1,array_tmp3,2) / array_tmp3_a1[1]; > array_tmp3_a1[4] := -array_tmp3[4] * array_tmp2[1] - array_tmp3[3] * array_tmp2[2] * 2 / 3; > #emit pre add CONST FULL $eq_no = 1 i = 4 > array_tmp4[4] := array_tmp3[4]; > #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5 > if ( not array_y_set_initial[1,5]) then # if number 1 > if (4 <= glob_max_terms) then # if number 2 > temporary := array_tmp4[4] * expt(glob_h , (1)) * factorial_3(3,4); > array_y[5] := temporary; > array_y_higher[1,5] := temporary; > temporary := temporary / glob_h * (4.0); > array_y_higher[2,4] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 5; > #END ATOMHDR4 > #BEGIN ATOMHDR5 > #emit pre asin ID_LINEAR iii = 5 $eq_no = 1 > array_tmp3[5] := - att(4,array_tmp3_a1,array_tmp3,2) / array_tmp3_a1[1]; > array_tmp3_a1[5] := -array_tmp3[5] * array_tmp2[1] - array_tmp3[4] * array_tmp2[2] * 3 / 4; > #emit pre add CONST FULL $eq_no = 1 i = 5 > array_tmp4[5] := array_tmp3[5]; > #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5 > if ( not array_y_set_initial[1,6]) then # if number 1 > if (5 <= glob_max_terms) then # if number 2 > temporary := array_tmp4[5] * expt(glob_h , (1)) * factorial_3(4,5); > array_y[6] := temporary; > array_y_higher[1,6] := temporary; > temporary := temporary / glob_h * (5.0); > 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 asin ID_LINEAR $eq_no = 1 > array_tmp3[kkk] := - att(kkk-1,array_tmp3_a1,array_tmp3,2)/array_tmp3_a1[1]; > array_tmp3_a1[kkk] := -array_tmp3[kkk] * array_tmp2[1] - array_tmp3[kkk-1] * array_tmp2[2] * (kkk - 2) / (kkk - 1); > #emit NOT FULL - FULL add $eq_no = 1 > array_tmp4[kkk] := array_tmp3[kkk]; > #emit assign $eq_no = 1 > order_d := 1; > if (kkk + order_d + 1 <= glob_max_terms) then # if number 1 > if ( not array_y_set_initial[1,kkk + order_d]) then # if number 2 > temporary := array_tmp4[kkk] * expt(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 := kkk + order_d - 1; > adj3 := 2; > while (term >= 1) do # do number 2 > if (adj3 <= order_d + 1) then # if number 3 > if (adj2 > 0) then # if number 4 > temporary := temporary / glob_h * convfp(adj2); > else > temporary := temporary; > fi;# end if 4; > array_y_higher[adj3,term] := temporary; > fi;# end if 3; > term := term - 1; > adj2 := adj2 - 1; > adj3 := adj3 + 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 > #BOTTOM ATOMALL ??? > end; atomall := proc() local kkk, order_d, adj2, adj3, temporary, term; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_0D1, array_const_0D2, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3_a1, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; array_tmp1[1] := array_const_0D1[1]*array_x[1]; array_tmp2[1] := array_tmp1[1] + array_const_0D2[1]; array_tmp3[1] := arcsin(array_tmp2[1]); array_tmp3_a1[1] := cos(array_tmp3[1]); array_tmp4[1] := array_const_0D0[1] + array_tmp3[1]; if not array_y_set_initial[1, 2] then if 1 <= glob_max_terms then temporary := array_tmp4[1]*expt(glob_h, 1)*factorial_3(0, 1); array_y[2] := temporary; array_y_higher[1, 2] := temporary; temporary := temporary*1.0/glob_h; array_y_higher[2, 1] := temporary end if end if; kkk := 2; array_tmp1[2] := array_const_0D1[1]*array_x[2]; array_tmp2[2] := array_tmp1[2]; array_tmp3[2] := array_tmp2[2]/array_tmp3_a1[1]; array_tmp3_a1[2] := -array_tmp2[1]*array_tmp3[2]; array_tmp4[2] := array_tmp3[2]; if not array_y_set_initial[1, 3] then if 2 <= glob_max_terms then temporary := array_tmp4[2]*expt(glob_h, 1)*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_tmp3[3] := -att(2, array_tmp3_a1, array_tmp3, 2)/array_tmp3_a1[1] ; array_tmp3_a1[3] := -array_tmp3[3]*array_tmp2[1] - 1/2*array_tmp3[2]*array_tmp2[2]; array_tmp4[3] := array_tmp3[3]; if not array_y_set_initial[1, 4] then if 3 <= glob_max_terms then temporary := array_tmp4[3]*expt(glob_h, 1)*factorial_3(2, 3); array_y[4] := temporary; array_y_higher[1, 4] := temporary; temporary := temporary*3.0/glob_h; array_y_higher[2, 3] := temporary end if end if; kkk := 4; array_tmp3[4] := -att(3, array_tmp3_a1, array_tmp3, 2)/array_tmp3_a1[1] ; array_tmp3_a1[4] := -array_tmp3[4]*array_tmp2[1] - 2/3*array_tmp3[3]*array_tmp2[2]; array_tmp4[4] := array_tmp3[4]; if not array_y_set_initial[1, 5] then if 4 <= glob_max_terms then temporary := array_tmp4[4]*expt(glob_h, 1)*factorial_3(3, 4); array_y[5] := temporary; array_y_higher[1, 5] := temporary; temporary := temporary*4.0/glob_h; array_y_higher[2, 4] := temporary end if end if; kkk := 5; array_tmp3[5] := -att(4, array_tmp3_a1, array_tmp3, 2)/array_tmp3_a1[1] ; array_tmp3_a1[5] := -array_tmp3[5]*array_tmp2[1] - 3/4*array_tmp3[4]*array_tmp2[2]; array_tmp4[5] := array_tmp3[5]; if not array_y_set_initial[1, 6] then if 5 <= glob_max_terms then temporary := array_tmp4[5]*expt(glob_h, 1)*factorial_3(4, 5); array_y[6] := temporary; array_y_higher[1, 6] := temporary; temporary := temporary*5.0/glob_h; array_y_higher[2, 5] := temporary end if end if; kkk := 6; while kkk <= glob_max_terms do array_tmp3[kkk] := -att(kkk - 1, array_tmp3_a1, array_tmp3, 2)/array_tmp3_a1[1]; array_tmp3_a1[kkk] := -array_tmp3[kkk]*array_tmp2[1] - array_tmp3[kkk - 1]*array_tmp2[2]*(kkk - 2)/(kkk - 1); array_tmp4[kkk] := array_tmp3[kkk]; order_d := 1; if kkk + order_d + 1 <= glob_max_terms then if not array_y_set_initial[1, kkk + order_d] then temporary := array_tmp4[kkk]*expt(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 := kkk + order_d - 1; adj3 := 2; while 1 <= term do if adj3 <= order_d + 1 then if 0 < adj2 then temporary := temporary*convfp(adj2)/glob_h else temporary := temporary end if; array_y_higher[adj3, term] := temporary end if; term := term - 1; adj2 := adj2 - 1; adj3 := adj3 + 1 end do end if end if; kkk := kkk + 1 end do end proc > # End Function number 12 > #BEGIN ATS LIBRARY BLOCK > # Begin Function number 2 > omniout_str := proc(iolevel,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 1 > printf("%s\n",str); > fi;# end if 1; > end; omniout_str := proc(iolevel, str) global glob_iolevel; if iolevel <= glob_iolevel then printf("%s\n", str) end if end proc > # End Function number 2 > # Begin Function number 3 > omniout_str_noeol := proc(iolevel,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 1 > printf("%s",str); > fi;# end if 1; > end; omniout_str_noeol := proc(iolevel, str) global glob_iolevel; if iolevel <= glob_iolevel then printf("%s", str) end if end proc > # End Function number 3 > # Begin Function number 4 > omniout_labstr := proc(iolevel,label,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 1 > print(label,str); > fi;# end if 1; > end; omniout_labstr := proc(iolevel, label, str) global glob_iolevel; if iolevel <= glob_iolevel then print(label, str) end if end proc > # End Function number 4 > # Begin Function number 5 > omniout_float := proc(iolevel,prelabel,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 1 > if vallen = 4 then > printf("%-30s = %-42.4g %s \n",prelabel,value, postlabel); > else > printf("%-30s = %-42.32g %s \n",prelabel,value, postlabel); > fi;# end if 1; > fi;# end if 0; > 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 > # End Function number 5 > # Begin Function number 6 > omniout_int := proc(iolevel,prelabel,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 0 > if vallen = 5 then # if number 1 > printf("%-30s = %-32d %s\n",prelabel,value, postlabel); > else > printf("%-30s = %-32d %s \n",prelabel,value, postlabel); > fi;# end if 1; > fi;# end if 0; > 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 > # End Function number 6 > # Begin Function number 7 > omniout_float_arr := proc(iolevel,prelabel,elemnt,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 0 > print(prelabel,"[",elemnt,"]",value, postlabel); > fi;# end if 0; > 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 > # End Function number 7 > # Begin Function number 8 > dump_series := proc(iolevel,dump_label,series_name,arr_series,numb) > global glob_iolevel; > local i; > if (glob_iolevel >= iolevel) then # if number 0 > i := 1; > while (i <= numb) do # do number 1 > print(dump_label,series_name > ,i,arr_series[i]); > i := i + 1; > od;# end do number 1 > fi;# end if 0 > end; dump_series := proc(iolevel, dump_label, series_name, arr_series, numb) local i; global glob_iolevel; if iolevel <= glob_iolevel then i := 1; while i <= numb do print(dump_label, series_name, i, arr_series[i]); i := i + 1 end do end if end proc > # End Function number 8 > # Begin Function number 9 > dump_series_2 := proc(iolevel,dump_label,series_name2,arr_series2,numb,subnum,arr_x) > global glob_iolevel; > local i,sub,ts_term; > if (glob_iolevel >= iolevel) then # if number 0 > sub := 1; > while (sub <= subnum) do # do number 1 > i := 1; > while (i <= numb) do # do number 2 > print(dump_label,series_name2,sub,i,arr_series2[sub,i]); > od;# end do number 2; > sub := sub + 1; > od;# end do number 1; > fi;# end if 0; > end; dump_series_2 := proc( iolevel, dump_label, series_name2, arr_series2, numb, subnum, arr_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, arr_series2[sub, i]) end do; sub := sub + 1 end do end if end proc > # End Function number 9 > # Begin Function number 10 > cs_info := proc(iolevel,str) > global glob_iolevel,glob_correct_start_flag,glob_h,glob_reached_optimal_h; > if (glob_iolevel >= iolevel) then # if number 0 > 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 if 0; > 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 > # End Function number 10 > # Begin Function number 11 > logitem_time := proc(fd,secs_in) > global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year; > local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int; > fprintf(fd,""); > if (secs_in >= 0) then # if number 0 > years_int := trunc(secs_in / glob_sec_in_year); > sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year)); > days_int := trunc(sec_temp / glob_sec_in_day) ; > sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ; > hours_int := trunc(sec_temp / glob_sec_in_hour); > sec_temp := (sec_temp mod trunc(glob_sec_in_hour)); > minutes_int := trunc(sec_temp / glob_sec_in_minute); > sec_int := (sec_temp mod trunc(glob_sec_in_minute)); > if (years_int > 0) then # if number 1 > 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 2 > 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 3 > fprintf(fd,"%d Hours %d Minutes %d Seconds",hours_int,minutes_int,sec_int); > elif > (minutes_int > 0) then # if number 4 > fprintf(fd,"%d Minutes %d Seconds",minutes_int,sec_int); > else > fprintf(fd,"%d Seconds",sec_int); > fi;# end if 4 > else > fprintf(fd," Unknown"); > fi;# end if 3 > fprintf(fd,"\n"); > end; logitem_time := proc(fd, secs_in) local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int; global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year; fprintf(fd, ""); if 0 <= secs_in then years_int := trunc(secs_in/glob_sec_in_year); sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year); days_int := trunc(sec_temp/glob_sec_in_day); sec_temp := sec_temp mod trunc(glob_sec_in_day); hours_int := trunc(sec_temp/glob_sec_in_hour); sec_temp := sec_temp mod trunc(glob_sec_in_hour); minutes_int := trunc(sec_temp/glob_sec_in_minute); sec_int := sec_temp mod trunc(glob_sec_in_minute); if 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, "\n") end proc > # End Function number 11 > # Begin Function number 12 > omniout_timestr := proc(secs_in) > global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year; > local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int; > if (secs_in >= 0) then # if number 3 > years_int := trunc(secs_in / glob_sec_in_year); > sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year)); > days_int := trunc(sec_temp / glob_sec_in_day) ; > sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ; > hours_int := trunc(sec_temp / glob_sec_in_hour); > sec_temp := (sec_temp mod trunc(glob_sec_in_hour)); > minutes_int := trunc(sec_temp / glob_sec_in_minute); > sec_int := (sec_temp mod trunc(glob_sec_in_minute)); > if (years_int > 0) then # if number 4 > 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 5 > 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 6 > printf(" = %d Hours %d Minutes %d Seconds\n",hours_int,minutes_int,sec_int); > elif > (minutes_int > 0) then # if number 7 > printf(" = %d Minutes %d Seconds\n",minutes_int,sec_int); > else > printf(" = %d Seconds\n",sec_int); > fi;# end if 7 > else > printf(" Unknown\n"); > fi;# end if 6 > end; omniout_timestr := proc(secs_in) local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int; global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year; if 0 <= secs_in then years_int := trunc(secs_in/glob_sec_in_year); sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year); days_int := trunc(sec_temp/glob_sec_in_day); sec_temp := sec_temp mod trunc(glob_sec_in_day); hours_int := trunc(sec_temp/glob_sec_in_hour); sec_temp := sec_temp mod trunc(glob_sec_in_hour); minutes_int := trunc(sec_temp/glob_sec_in_minute); sec_int := sec_temp mod trunc(glob_sec_in_minute); if 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 > # End Function number 12 > # Begin Function number 13 > ats := proc(mmm_ats,arr_a,arr_b,jjj_ats) > local iii_ats, lll_ats,ma_ats, ret_ats; > ret_ats := 0.0; > if (jjj_ats <= mmm_ats) then # if number 6 > 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 + arr_a[iii_ats]*arr_b[lll_ats]; > iii_ats := iii_ats + 1; > od;# end do number 1 > fi;# end if 6; > ret_ats; > end; ats := proc(mmm_ats, arr_a, arr_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 + arr_a[iii_ats]*arr_b[lll_ats]; iii_ats := iii_ats + 1 end do end if; ret_ats end proc > # End Function number 13 > # Begin Function number 14 > att := proc(mmm_att,arr_aa,arr_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 6 > 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 7 > ret_att := ret_att + arr_aa[iii_att]*arr_bb[lll_att]* convfp(al_att); > fi;# end if 7; > iii_att := iii_att + 1; > od;# end do number 1; > ret_att := ret_att / convfp(mmm_att) ; > fi;# end if 6; > ret_att; > end; att := proc(mmm_att, arr_aa, arr_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 + arr_aa[iii_att]*arr_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 > # End Function number 14 > # Begin Function number 15 > display_pole_debug := proc(typ,radius,order2) > global ALWAYS,glob_display_flag, glob_large_float, array_pole; > if (typ = 1) then # if number 6 > omniout_str(ALWAYS,"Real"); > else > omniout_str(ALWAYS,"Complex"); > fi;# end if 6; > omniout_float(ALWAYS,"DBG Radius of convergence ",4, radius,4," "); > omniout_float(ALWAYS,"DBG Order of pole ",4, order2,4," "); > end; display_pole_debug := proc(typ, radius, order2) global ALWAYS, glob_display_flag, glob_large_float, array_pole; if typ = 1 then omniout_str(ALWAYS, "Real") else omniout_str(ALWAYS, "Complex") end if; omniout_float(ALWAYS, "DBG Radius of convergence ", 4, radius, 4, " "); omniout_float(ALWAYS, "DBG Order of pole ", 4, order2, 4, " ") end proc > # End Function number 15 > # Begin Function number 16 > 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 6 > 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 6 > 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 > # End Function number 16 > # Begin Function number 17 > logditto := proc(file) > fprintf(file,""); > fprintf(file,"ditto"); > fprintf(file,""); > end; logditto := proc(file) fprintf(file, ""); fprintf(file, "ditto"); fprintf(file, "") end proc > # End Function number 17 > # Begin Function number 18 > logitem_integer := proc(file,n) > fprintf(file,""); > fprintf(file,"%d",n); > fprintf(file,""); > end; logitem_integer := proc(file, n) fprintf(file, ""); fprintf(file, "%d", n); fprintf(file, "") end proc > # End Function number 18 > # Begin Function number 19 > logitem_str := proc(file,str) > fprintf(file,""); > fprintf(file,str); > fprintf(file,""); > end; logitem_str := proc(file, str) fprintf(file, ""); fprintf(file, str); fprintf(file, "") end proc > # End Function number 19 > # Begin Function number 20 > logitem_good_digits := proc(file,rel_error) > global glob_small_float; > local good_digits; > fprintf(file,""); > if (rel_error <> -1.0) then # if number 6 > if (rel_error > + 0.0000000000000000000000000000000001) then # if number 7 > good_digits := 1-trunc(log10(rel_error)); > fprintf(file,"%d",good_digits); > else > good_digits := Digits; > fprintf(file,"%d",good_digits); > fi;# end if 7; > else > fprintf(file,"Unknown"); > fi;# end if 6; > fprintf(file,""); > end; logitem_good_digits := proc(file, rel_error) local good_digits; global glob_small_float; fprintf(file, ""); if rel_error <> -1.0 then if 0.1*10^(-33) < rel_error then good_digits := 1 - trunc(log10(rel_error)); fprintf(file, "%d", good_digits) else good_digits := Digits; fprintf(file, "%d", good_digits) end if else fprintf(file, "Unknown") end if; fprintf(file, "") end proc > # End Function number 20 > # Begin Function number 21 > log_revs := proc(file,revs) > fprintf(file,revs); > end; log_revs := proc(file, revs) fprintf(file, revs) end proc > # End Function number 21 > # Begin Function number 22 > logitem_float := proc(file,x) > fprintf(file,""); > fprintf(file,"%g",x); > fprintf(file,""); > end; logitem_float := proc(file, x) fprintf(file, ""); fprintf(file, "%g", x); fprintf(file, "") end proc > # End Function number 22 > # Begin Function number 23 > logitem_pole := proc(file,pole) > fprintf(file,""); > if (pole = 0) then # if number 6 > fprintf(file,"NA"); > elif > (pole = 1) then # if number 7 > fprintf(file,"Real"); > elif > (pole = 2) then # if number 8 > fprintf(file,"Complex"); > else > fprintf(file,"No Pole"); > fi;# end if 8 > fprintf(file,""); > 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 > # End Function number 23 > # Begin Function number 24 > logstart := proc(file) > fprintf(file,""); > end; logstart := proc(file) fprintf(file, "") end proc > # End Function number 24 > # Begin Function number 25 > logend := proc(file) > fprintf(file,"\n"); > end; logend := proc(file) fprintf(file, "\n") end proc > # End Function number 25 > # Begin Function number 26 > 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 8 > omniout_str(ALWAYS,"Illegal max_terms = -- Using 30"); > glob_max_terms := 30; > fi;# end if 8; > if (glob_max_iter < 2) then # if number 8 > omniout_str(ALWAYS,"Illegal max_iter"); > errflag := true; > fi;# end if 8; > if (errflag) then # if number 8 > quit; > fi;# end if 8 > 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 > # End Function number 26 > # Begin Function number 27 > comp_expect_sec := proc(t_end2,t_start2,t2,clock_sec2) > global glob_small_float; > local ms2, rrr, sec_left, sub1, sub2; > ; > ms2 := clock_sec2; > sub1 := (t_end2-t_start2); > sub2 := (t2-t_start2); > if (sub1 = 0.0) then # if number 8 > sec_left := 0.0; > else > if (sub2 > 0.0) then # if number 9 > rrr := (sub1/sub2); > sec_left := rrr * ms2 - ms2; > else > sec_left := 0.0; > fi;# end if 9 > fi;# end if 8; > sec_left; > end; comp_expect_sec := proc(t_end2, t_start2, t2, clock_sec2) local ms2, rrr, sec_left, sub1, sub2; global glob_small_float; ms2 := clock_sec2; sub1 := t_end2 - t_start2; sub2 := t2 - t_start2; if sub1 = 0. then sec_left := 0. else if 0. < sub2 then rrr := sub1/sub2; sec_left := rrr*ms2 - ms2 else sec_left := 0. end if end if; sec_left end proc > # End Function number 27 > # Begin Function number 28 > 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 (sub2 > glob_small_float) then # if number 8 > rrr := (100.0*sub2)/sub1; > else > rrr := 0.0; > fi;# end if 8; > rrr; > 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 < sub2 then rrr := 100.0*sub2/sub1 else rrr := 0. end if; rrr end proc > # End Function number 28 > # Begin Function number 29 > factorial_2 := proc(nnn) > nnn!; > end; factorial_2 := proc(nnn) nnn! end proc > # End Function number 29 > # Begin Function number 30 > factorial_1 := proc(nnn) > global glob_max_terms,array_fact_1; > local ret; > if (nnn <= glob_max_terms) then # if number 8 > if (array_fact_1[nnn] = 0) then # if number 9 > ret := factorial_2(nnn); > array_fact_1[nnn] := ret; > else > ret := array_fact_1[nnn]; > fi;# end if 9; > else > ret := factorial_2(nnn); > fi;# end if 8; > ret; > end; factorial_1 := proc(nnn) local ret; global glob_max_terms, array_fact_1; if nnn <= glob_max_terms then if array_fact_1[nnn] = 0 then ret := factorial_2(nnn); array_fact_1[nnn] := ret else ret := array_fact_1[nnn] end if else ret := factorial_2(nnn) end if; ret end proc > # End Function number 30 > # Begin Function number 31 > factorial_3 := proc(mmm,nnn) > global glob_max_terms,array_fact_2; > local ret; > if ((nnn <= glob_max_terms) and (mmm <= glob_max_terms)) then # if number 8 > if (array_fact_2[mmm,nnn] = 0) then # if number 9 > ret := factorial_1(mmm)/factorial_1(nnn); > array_fact_2[mmm,nnn] := ret; > else > ret := array_fact_2[mmm,nnn]; > fi;# end if 9; > else > ret := factorial_2(mmm)/factorial_2(nnn); > fi;# end if 8; > ret; > end; factorial_3 := proc(mmm, nnn) local ret; global glob_max_terms, array_fact_2; if nnn <= glob_max_terms and mmm <= glob_max_terms then if array_fact_2[mmm, nnn] = 0 then ret := factorial_1(mmm)/factorial_1(nnn); array_fact_2[mmm, nnn] := ret else ret := array_fact_2[mmm, nnn] end if else ret := factorial_2(mmm)/factorial_2(nnn) end if; ret end proc > # End Function number 31 > # Begin Function number 32 > convfp := proc(mmm) > (mmm); > end; convfp := proc(mmm) mmm end proc > # End Function number 32 > # Begin Function number 33 > convfloat := proc(mmm) > (mmm); > end; convfloat := proc(mmm) mmm end proc > # End Function number 33 > # Begin Function number 34 > elapsed_time_seconds := proc() > time(); > end; elapsed_time_seconds := proc() time() end proc > # End Function number 34 > # Begin Function number 35 > omniabs := proc(x) > abs(x); > end; omniabs := proc(x) abs(x) end proc > # End Function number 35 > # Begin Function number 36 > expt := proc(x,y) > (x^y); > end; expt := proc(x, y) x^y end proc > # End Function number 36 > # Begin Function number 37 > estimated_needed_step_error := proc(x_start,x_end,estimated_h,estimated_answer) > local desired_abs_gbl_error,range,estimated_steps,step_error; > global glob_desired_digits_correct,ALWAYS; > omniout_float(ALWAYS,"glob_desired_digits_correct",32,glob_desired_digits_correct,32,""); > desired_abs_gbl_error := expt(10.0,- glob_desired_digits_correct) * omniabs(estimated_answer); > omniout_float(ALWAYS,"desired_abs_gbl_error",32,desired_abs_gbl_error,32,""); > range := (x_end - x_start); > omniout_float(ALWAYS,"range",32,range,32,""); > estimated_steps := range / estimated_h; > omniout_float(ALWAYS,"estimated_steps",32,estimated_steps,32,""); > step_error := omniabs(desired_abs_gbl_error / estimated_steps); > omniout_float(ALWAYS,"step_error",32,step_error,32,""); > (step_error);; > end; estimated_needed_step_error := proc( x_start, x_end, estimated_h, estimated_answer) local desired_abs_gbl_error, range, estimated_steps, step_error; global glob_desired_digits_correct, ALWAYS; omniout_float(ALWAYS, "glob_desired_digits_correct", 32, glob_desired_digits_correct, 32, ""); desired_abs_gbl_error := expt(10.0, -glob_desired_digits_correct)*omniabs(estimated_answer); omniout_float(ALWAYS, "desired_abs_gbl_error", 32, desired_abs_gbl_error, 32, ""); range := x_end - x_start; omniout_float(ALWAYS, "range", 32, range, 32, ""); estimated_steps := range/estimated_h; omniout_float(ALWAYS, "estimated_steps", 32, estimated_steps, 32, ""); step_error := omniabs(desired_abs_gbl_error/estimated_steps); omniout_float(ALWAYS, "step_error", 32, step_error, 32, ""); step_error end proc > # End Function number 37 > #END ATS LIBRARY BLOCK > #BEGIN USER DEF BLOCK > #BEGIN USER DEF BLOCK > exact_soln_y := proc(x) > return(10.0 * (0.1 * x + 0.2) * arcsin(0.1 * x + 0.2 ) + 10.0 * sqrt(1.0 - > expt((0.1 * x + 0.2) , 2 ))); > end; exact_soln_y := proc(x) return 10.0*(0.1*x + 0.2)*arcsin(0.1*x + 0.2) + 10.0*sqrt(1.0 - expt(0.1*x + 0.2, 2)) end proc > #END USER DEF BLOCK > #END USER DEF BLOCK > #END OUTFILE5 > # Begin Function number 2 > main := proc() > #BEGIN OUTFIEMAIN > local d1,d2,d3,d4,est_err_2,niii,done_once, > term,ord,order_diff,term_no,html_log_file,iiif,jjjf, > rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter, > x_start,x_end > ,it, max_terms, opt_iter, tmp,subiter, est_needed_step_err,value3,min_value,est_answer,best_h,found_h,repeat_it; > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_0D1, > array_const_0D2, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3_a1, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > glob_last; > ALWAYS := 1; > INFO := 2; > DEBUGL := 3; > DEBUGMASSIVE := 4; > glob_iolevel := INFO; > glob_max_terms := 30; > glob_iolevel := 5; > ALWAYS := 1; > INFO := 2; > DEBUGL := 3; > DEBUGMASSIVE := 4; > MAX_UNCHANGED := 10; > glob_check_sign := 1.0; > glob_desired_digits_correct := 8.0; > glob_max_value3 := 0.0; > glob_ratio_of_radius := 0.01; > glob_percent_done := 0.0; > glob_subiter_method := 3; > glob_total_exp_sec := 0.1; > glob_optimal_expect_sec := 0.1; > glob_html_log := true; > glob_good_digits := 0; > glob_max_opt_iter := 10; > glob_dump := false; > glob_djd_debug := true; > glob_display_flag := true; > glob_djd_debug2 := true; > glob_sec_in_minute := 60; > glob_min_in_hour := 60; > glob_hours_in_day := 24; > glob_days_in_year := 365; > glob_sec_in_hour := 3600; > glob_sec_in_day := 86400; > glob_sec_in_year := 31536000; > glob_almost_1 := 0.9990; > glob_clock_sec := 0.0; > glob_clock_start_sec := 0.0; > glob_not_yet_finished := true; > glob_initial_pass := true; > glob_not_yet_start_msg := true; > glob_reached_optimal_h := false; > glob_optimal_done := false; > glob_disp_incr := 0.1; > glob_h := 0.1; > glob_max_h := 0.1; > glob_large_float := 9.0e100; > glob_last_good_h := 0.1; > glob_look_poles := false; > glob_neg_h := false; > glob_display_interval := 0.0; > glob_next_display := 0.0; > glob_dump_analytic := false; > glob_abserr := 0.1e-10; > glob_relerr := 0.1e-10; > glob_max_hours := 0.0; > glob_max_iter := 1000; > glob_max_rel_trunc_err := 0.1e-10; > glob_max_trunc_err := 0.1e-10; > glob_no_eqs := 0; > glob_optimal_clock_start_sec := 0.0; > glob_optimal_start := 0.0; > glob_small_float := 0.1e-200; > glob_smallish_float := 0.1e-100; > glob_unchanged_h_cnt := 0; > glob_warned := false; > glob_warned2 := false; > glob_max_sec := 10000.0; > glob_orig_start_sec := 0.0; > glob_start := 0; > glob_curr_iter_when_opt := 0; > glob_current_iter := 0; > glob_iter := 0; > glob_normmax := 0.0; > glob_max_minutes := 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/lin_arcsinpostode.ode#################"); > omniout_str(ALWAYS,"diff ( y , x , 1 ) = arcsin (0.1 * x + 0.2) ;"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK"); > omniout_str(ALWAYS,"max_terms:=30;"); > omniout_str(ALWAYS,"Digits:=32;"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#END FIRST INPUT BLOCK"); > omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK"); > omniout_str(ALWAYS,"x_start := -0.8;"); > omniout_str(ALWAYS,"x_end := 0.8 ;"); > omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);"); > 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_desired_digits_correct:=10;"); > omniout_str(ALWAYS,"glob_display_interval:=0.001;"); > omniout_str(ALWAYS,"glob_look_poles:=true;"); > omniout_str(ALWAYS,"glob_max_iter:=10000000;"); > omniout_str(ALWAYS,"glob_max_minutes:=3;"); > omniout_str(ALWAYS,"glob_subiter_method:=3;"); > 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,"return(10.0 * (0.1 * x + 0.2) * arcsin(0.1 * x + 0.2 ) + 10.0 * sqrt(1.0 -"); > omniout_str(ALWAYS,"expt((0.1 * x + 0.2) , 2 )));"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,""); > omniout_str(ALWAYS,"#END USER DEF BLOCK"); > omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################"); > glob_unchanged_h_cnt := 0; > glob_warned := false; > glob_warned2 := false; > glob_small_float := 1.0e-200; > glob_smallish_float := 1.0e-64; > glob_large_float := 1.0e100; > glob_almost_1 := 0.99; > #BEGIN FIRST INPUT BLOCK > #BEGIN FIRST INPUT BLOCK > max_terms:=30; > Digits:=32; > #END FIRST INPUT BLOCK > #START OF INITS AFTER INPUT BLOCK > glob_max_terms := max_terms; > glob_html_log := true; > #END OF INITS AFTER INPUT BLOCK > array_y_init:= Array(0..(max_terms + 1),[]); > array_norms:= Array(0..(max_terms + 1),[]); > array_fact_1:= Array(0..(max_terms + 1),[]); > array_pole:= Array(0..(max_terms + 1),[]); > array_1st_rel_error:= Array(0..(max_terms + 1),[]); > array_last_rel_error:= Array(0..(max_terms + 1),[]); > array_type_pole:= Array(0..(max_terms + 1),[]); > array_y:= Array(0..(max_terms + 1),[]); > array_x:= Array(0..(max_terms + 1),[]); > array_tmp0:= Array(0..(max_terms + 1),[]); > array_tmp1:= Array(0..(max_terms + 1),[]); > array_tmp2:= Array(0..(max_terms + 1),[]); > array_tmp3_a1:= Array(0..(max_terms + 1),[]); > array_tmp3:= Array(0..(max_terms + 1),[]); > array_tmp4:= Array(0..(max_terms + 1),[]); > array_m1:= Array(0..(max_terms + 1),[]); > array_y_higher := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y_set_initial := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_poles := Array(0..(1+ 1) ,(0..3+ 1),[]); > array_real_pole := Array(0..(1+ 1) ,(0..3+ 1),[]); > array_complex_pole := Array(0..(1+ 1) ,(0..3+ 1),[]); > array_fact_2 := Array(0..(max_terms+ 1) ,(0..max_terms+ 1),[]); > 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_norms[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_fact_1[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_pole[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_1st_rel_error[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_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_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_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_a1[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_m1[term] := 0.0; > term := term + 1; > od;# end do number 2; > ord := 1; > while (ord <=2) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_y_higher[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=2) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_y_higher_work[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=2) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_y_higher_work2[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=2) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_y_set_initial[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=1) do # do number 2 > term := 1; > while (term <= 3) do # do number 3 > array_poles[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=1) do # do number 2 > term := 1; > while (term <= 3) do # do number 3 > array_real_pole[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > 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 <=max_terms) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_fact_2[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > #BEGIN ARRAYS DEFINED AND INITIALIZATED > 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_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_tmp0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp1 := 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_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_tmp3_a1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp3_a1[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_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_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_1[1] := 1; > array_const_0D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_0D0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_0D0[1] := 0.0; > array_const_0D1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_0D1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_0D1[1] := 0.1; > array_const_0D2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_0D2[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_0D2[1] := 0.2; > array_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms) do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_m1[1] := -1.0; > #END ARRAYS DEFINED AND INITIALIZATED > #Initing Factorial Tables > iiif := 0; > while (iiif <= glob_max_terms) do # do number 2 > jjjf := 0; > while (jjjf <= glob_max_terms) do # do number 3 > array_fact_1[iiif] := 0; > array_fact_2[iiif,jjjf] := 0; > jjjf := jjjf + 1; > od;# end do number 3; > iiif := iiif + 1; > od;# end do number 2; > #Done Initing Factorial Tables > #TOP SECOND INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > #END FIRST INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > x_start := -0.8; > x_end := 0.8 ; > array_y_init[0 + 1] := exact_soln_y(x_start); > glob_look_poles := true; > glob_max_iter := 100; > #END SECOND INPUT BLOCK > #BEGIN OVERRIDE BLOCK > glob_desired_digits_correct:=10; > glob_display_interval:=0.001; > glob_look_poles:=true; > glob_max_iter:=10000000; > glob_max_minutes:=3; > glob_subiter_method:=3; > #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); > if (glob_h > 0.0) then # if number 1 > glob_neg_h := false; > glob_display_interval := omniabs(glob_display_interval); > else > glob_neg_h := true; > glob_display_interval := -omniabs(glob_display_interval); > fi;# end if 1; > 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; > #BEGIN OPTIMIZE CODE > omniout_str(ALWAYS,"START of Optimize"); > #Start Series -- INITIALIZE FOR OPTIMIZE > glob_check_sign := check_sign(x_start,x_end); > glob_h := check_sign(x_start,x_end); > if (glob_display_interval < glob_h) then # if number 2 > glob_h := glob_display_interval; > fi;# end if 2; > if (glob_max_h < glob_h) then # if number 2 > glob_h := glob_max_h; > fi;# end if 2; > found_h := -1.0; > best_h := 0.0; > min_value := glob_large_float; > est_answer := est_size_answer(); > opt_iter := 1; > while ((opt_iter <= 20) and (found_h < 0.0)) do # do number 2 > omniout_int(ALWAYS,"opt_iter",32,opt_iter,4,""); > array_x[1] := x_start; > array_x[2] := glob_h; > glob_next_display := x_start; > order_diff := 1; > #Start Series array_y > term_no := 1; > while (term_no <= order_diff) do # do number 3 > array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1); > term_no := term_no + 1; > od;# end do number 3; > rows := order_diff; > r_order := 1; > while (r_order <= rows) do # do number 3 > term_no := 1; > while (term_no <= (rows - r_order + 1)) do # do number 4 > it := term_no + r_order - 1; > array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1))); > term_no := term_no + 1; > od;# end do number 4; > r_order := r_order + 1; > od;# end do number 3 > ; > atomall(); > est_needed_step_err := estimated_needed_step_error(x_start,x_end,glob_h,est_answer); > omniout_float(ALWAYS,"est_needed_step_err",32,est_needed_step_err,16,""); > value3 := test_suggested_h(); > omniout_float(ALWAYS,"value3",32,value3,32,""); > if ((value3 < est_needed_step_err) and (found_h < 0.0)) then # if number 2 > best_h := glob_h; > found_h := 1.0; > fi;# end if 2; > omniout_float(ALWAYS,"best_h",32,best_h,32,""); > opt_iter := opt_iter + 1; > glob_h := glob_h * 0.5; > od;# end do number 2; > if (found_h > 0.0) then # if number 2 > glob_h := best_h ; > else > omniout_str(ALWAYS,"No increment to obtain desired accuracy found"); > fi;# end if 2; > #END OPTIMIZE CODE > if (glob_html_log) then # if number 2 > html_log_file := fopen("html/entry.html",WRITE,TEXT); > fi;# end if 2; > #BEGIN SOLUTION CODE > if (found_h > 0.0) then # if number 2 > omniout_str(ALWAYS,"START of Soultion"); > #Start Series -- INITIALIZE FOR SOLUTION > array_x[1] := x_start; > array_x[2] := glob_h; > glob_next_display := x_start; > 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] * expt(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]* expt(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(); > 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 ((glob_check_sign * array_x[1]) < (glob_check_sign * x_end )) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2 > #left paren 0001C > if (reached_interval()) then # if number 3 > omniout_str(INFO," "); > omniout_str(INFO,"TOP MAIN SOLVE Loop"); > fi;# end if 3; > glob_iter := glob_iter + 1; > glob_clock_sec := elapsed_time_seconds(); > glob_current_iter := glob_current_iter + 1; > atomall(); > display_alot(current_iter); > if (glob_look_poles) then # if number 3 > #left paren 0004C > check_for_pole(); > fi;# end if 3;#was right paren 0004C > if (reached_interval()) then # if number 3 > glob_next_display := glob_next_display + glob_display_interval; > fi;# end if 3; > array_x[1] := array_x[1] + glob_h; > array_x[2] := glob_h; > #Jump Series array_y; > order_diff := 2; > #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] / expt(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 * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1)); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 2; > #adjust_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(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 * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1)); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 1; > #adjust_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(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 * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1)); > #AFTER SUM SUBSERIES EQ =1 > #END SUM AND ADJUST EQ =1 > #END PART 1 > #START PART 2 MOVE TERMS to REGULAR Array > term_no := glob_max_terms; > while (term_no >= 1) do # do number 3 > array_y[term_no] := array_y_higher_work2[1,term_no]; > ord := 1; > while (ord <= order_diff) do # do number 4 > array_y_higher[ord,term_no] := array_y_higher_work2[ord,term_no]; > ord := ord + 1; > od;# end do number 4; > term_no := term_no - 1; > od;# end do number 3; > #END PART 2 HEVE MOVED TERMS to REGULAR Array > ; > od;# end do number 2;#right paren 0001C > omniout_str(ALWAYS,"Finished!"); > if (glob_iter >= glob_max_iter) then # if number 3 > omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!"); > fi;# end if 3; > if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 3 > omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!"); > fi;# end if 3; > glob_clock_sec := elapsed_time_seconds(); > omniout_str(INFO,"diff ( y , x , 1 ) = arcsin (0.1 * x + 0.2) ;"); > omniout_int(INFO,"Iterations ",32,glob_iter,4," ") > ; > prog_report(x_start,x_end); > if (glob_html_log) then # if number 3 > logstart(html_log_file); > logitem_str(html_log_file,"2013-01-28T15:21:22-06:00") > ; > logitem_str(html_log_file,"Maple") > ; > logitem_str(html_log_file,"lin_arcsin") > ; > logitem_str(html_log_file,"diff ( y , x , 1 ) = arcsin (0.1 * x + 0.2) ;") > ; > 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_good_digits(html_log_file,array_last_rel_error[1]) > ; > 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 4 > 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 4; > logitem_time(html_log_file,convfloat(glob_clock_sec)) > ; > if (glob_percent_done < 100.0) then # if number 4 > logitem_time(html_log_file,convfloat(glob_total_exp_sec)) > ; > 0; > else > logitem_str(html_log_file,"Done") > ; > 0; > fi;# end if 4; > log_revs(html_log_file," 165 ") > ; > logitem_str(html_log_file,"lin_arcsin diffeq.mxt") > ; > logitem_str(html_log_file,"lin_arcsin maple results") > ; > logitem_str(html_log_file,"All Tests - All Languages") > ; > logend(html_log_file) > ; > ; > fi;# end if 3; > if (glob_html_log) then # if number 3 > fclose(html_log_file); > fi;# end if 3 > ; > ;; > fi;# end if 2 > #END OUTFILEMAIN > end; main := proc() local d1, d2, d3, d4, est_err_2, niii, done_once, term, ord, order_diff, term_no, html_log_file, iiif, jjjf, rows, r_order, sub_iter, calc_term, iii, temp_sum, current_iter, x_start, x_end, it, max_terms, opt_iter, tmp, subiter, est_needed_step_err, value3, min_value, est_answer, best_h, found_h, repeat_it; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_0D1, array_const_0D2, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3_a1, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; glob_last; ALWAYS := 1; INFO := 2; DEBUGL := 3; DEBUGMASSIVE := 4; glob_iolevel := INFO; glob_max_terms := 30; glob_iolevel := 5; ALWAYS := 1; INFO := 2; DEBUGL := 3; DEBUGMASSIVE := 4; MAX_UNCHANGED := 10; glob_check_sign := 1.0; glob_desired_digits_correct := 8.0; glob_max_value3 := 0.; glob_ratio_of_radius := 0.01; glob_percent_done := 0.; glob_subiter_method := 3; glob_total_exp_sec := 0.1; glob_optimal_expect_sec := 0.1; glob_html_log := true; glob_good_digits := 0; glob_max_opt_iter := 10; glob_dump := false; glob_djd_debug := true; glob_display_flag := true; glob_djd_debug2 := true; glob_sec_in_minute := 60; glob_min_in_hour := 60; glob_hours_in_day := 24; glob_days_in_year := 365; glob_sec_in_hour := 3600; glob_sec_in_day := 86400; glob_sec_in_year := 31536000; glob_almost_1 := 0.9990; glob_clock_sec := 0.; glob_clock_start_sec := 0.; glob_not_yet_finished := true; glob_initial_pass := true; glob_not_yet_start_msg := true; glob_reached_optimal_h := false; glob_optimal_done := false; glob_disp_incr := 0.1; glob_h := 0.1; glob_max_h := 0.1; glob_large_float := 0.90*10^101; glob_last_good_h := 0.1; glob_look_poles := false; glob_neg_h := false; glob_display_interval := 0.; glob_next_display := 0.; glob_dump_analytic := false; glob_abserr := 0.1*10^(-10); glob_relerr := 0.1*10^(-10); glob_max_hours := 0.; glob_max_iter := 1000; glob_max_rel_trunc_err := 0.1*10^(-10); glob_max_trunc_err := 0.1*10^(-10); glob_no_eqs := 0; glob_optimal_clock_start_sec := 0.; glob_optimal_start := 0.; glob_small_float := 0.1*10^(-200); glob_smallish_float := 0.1*10^(-100); glob_unchanged_h_cnt := 0; glob_warned := false; glob_warned2 := false; glob_max_sec := 10000.0; glob_orig_start_sec := 0.; glob_start := 0; glob_curr_iter_when_opt := 0; glob_current_iter := 0; glob_iter := 0; glob_normmax := 0.; glob_max_minutes := 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/lin_arcsinpostode.ode#################"); omniout_str(ALWAYS, "diff ( y , x , 1 ) = arcsin (0.1 * x + 0.2) ;"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK"); omniout_str(ALWAYS, "max_terms:=30;"); omniout_str(ALWAYS, "Digits:=32;"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#END FIRST INPUT BLOCK"); omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK"); omniout_str(ALWAYS, "x_start := -0.8;"); omniout_str(ALWAYS, "x_end := 0.8 ;"); omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);"); 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_desired_digits_correct:=10;"); omniout_str(ALWAYS, "glob_display_interval:=0.001;"); omniout_str(ALWAYS, "glob_look_poles:=true;"); omniout_str(ALWAYS, "glob_max_iter:=10000000;"); omniout_str(ALWAYS, "glob_max_minutes:=3;"); omniout_str(ALWAYS, "glob_subiter_method:=3;"); 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, "return(10.0 * (0.1 * x + 0.2) * arcsin(0.1 * x \ + 0.2 ) + 10.0 * sqrt(1.0 -"); omniout_str(ALWAYS, "expt((0.1 * x + 0.2) , 2 )));"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, ""); omniout_str(ALWAYS, "#END USER DEF BLOCK"); omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"); glob_unchanged_h_cnt := 0; glob_warned := false; glob_warned2 := false; glob_small_float := 0.10*10^(-199); glob_smallish_float := 0.10*10^(-63); glob_large_float := 0.10*10^101; glob_almost_1 := 0.99; max_terms := 30; Digits := 32; glob_max_terms := max_terms; glob_html_log := true; array_y_init := Array(0 .. max_terms + 1, []); array_norms := Array(0 .. max_terms + 1, []); array_fact_1 := Array(0 .. max_terms + 1, []); array_pole := Array(0 .. max_terms + 1, []); array_1st_rel_error := Array(0 .. max_terms + 1, []); array_last_rel_error := Array(0 .. max_terms + 1, []); array_type_pole := Array(0 .. max_terms + 1, []); array_y := Array(0 .. max_terms + 1, []); array_x := Array(0 .. max_terms + 1, []); array_tmp0 := Array(0 .. max_terms + 1, []); array_tmp1 := Array(0 .. max_terms + 1, []); array_tmp2 := Array(0 .. max_terms + 1, []); array_tmp3_a1 := Array(0 .. max_terms + 1, []); array_tmp3 := Array(0 .. max_terms + 1, []); array_tmp4 := Array(0 .. max_terms + 1, []); array_m1 := Array(0 .. max_terms + 1, []); array_y_higher := Array(0 .. 3, 0 .. max_terms + 1, []); array_y_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []); array_y_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []); array_y_set_initial := Array(0 .. 3, 0 .. max_terms + 1, []); array_poles := Array(0 .. 2, 0 .. 4, []); array_real_pole := Array(0 .. 2, 0 .. 4, []); array_complex_pole := Array(0 .. 2, 0 .. 4, []); array_fact_2 := Array(0 .. max_terms + 1, 0 .. max_terms + 1, []); 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_norms[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_fact_1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_pole[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_1st_rel_error[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_last_rel_error[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_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_a1[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_m1[term] := 0.; term := term + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_higher[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_higher_work[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_higher_work2[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_set_initial[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 1 do term := 1; while term <= 3 do array_poles[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 1 do term := 1; while term <= 3 do array_real_pole[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; 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 <= max_terms do term := 1; while term <= max_terms do array_fact_2[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; 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_x := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_x[term] := 0.; term := term + 1 end do; array_tmp0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1 end do; array_tmp1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp1[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_tmp3_a1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp3_a1[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_tmp4 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1 end do; array_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1 end do; array_const_1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_1[term] := 0.; term := term + 1 end do; array_const_1[1] := 1; array_const_0D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_0D0[term] := 0.; term := term + 1 end do; array_const_0D0[1] := 0.; array_const_0D1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_0D1[term] := 0.; term := term + 1 end do; array_const_0D1[1] := 0.1; array_const_0D2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_0D2[term] := 0.; term := term + 1 end do; array_const_0D2[1] := 0.2; array_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms do array_m1[term] := 0.; term := term + 1 end do; array_m1[1] := -1.0; iiif := 0; while iiif <= glob_max_terms do jjjf := 0; while jjjf <= glob_max_terms do array_fact_1[iiif] := 0; array_fact_2[iiif, jjjf] := 0; jjjf := jjjf + 1 end do; iiif := iiif + 1 end do; x_start := -0.8; x_end := 0.8; array_y_init[1] := exact_soln_y(x_start); glob_look_poles := true; glob_max_iter := 100; glob_desired_digits_correct := 10; glob_display_interval := 0.001; glob_look_poles := true; glob_max_iter := 10000000; glob_max_minutes := 3; glob_subiter_method := 3; 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); if 0. < glob_h then glob_neg_h := false; glob_display_interval := omniabs(glob_display_interval) else glob_neg_h := true; glob_display_interval := -omniabs(glob_display_interval) end if; 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; omniout_str(ALWAYS, "START of Optimize"); glob_check_sign := check_sign(x_start, x_end); glob_h := check_sign(x_start, x_end); if glob_display_interval < glob_h then glob_h := glob_display_interval end if; if glob_max_h < glob_h then glob_h := glob_max_h end if; found_h := -1.0; best_h := 0.; min_value := glob_large_float; est_answer := est_size_answer(); opt_iter := 1; while opt_iter <= 20 and found_h < 0. do omniout_int(ALWAYS, "opt_iter", 32, opt_iter, 4, ""); array_x[1] := x_start; array_x[2] := glob_h; glob_next_display := x_start; order_diff := 1; term_no := 1; while term_no <= order_diff do array_y[term_no] := array_y_init[term_no]* expt(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]* expt(glob_h, term_no - 1)/factorial_1(term_no - 1); term_no := term_no + 1 end do; r_order := r_order + 1 end do; atomall(); est_needed_step_err := estimated_needed_step_error(x_start, x_end, glob_h, est_answer) ; omniout_float(ALWAYS, "est_needed_step_err", 32, est_needed_step_err, 16, ""); value3 := test_suggested_h(); omniout_float(ALWAYS, "value3", 32, value3, 32, ""); if value3 < est_needed_step_err and found_h < 0. then best_h := glob_h; found_h := 1.0 end if; omniout_float(ALWAYS, "best_h", 32, best_h, 32, ""); opt_iter := opt_iter + 1; glob_h := glob_h*0.5 end do; if 0. < found_h then glob_h := best_h else omniout_str(ALWAYS, "No increment to obtain desired accuracy found") end if; if glob_html_log then html_log_file := fopen("html/entry.html", WRITE, TEXT) end if; if 0. < found_h then omniout_str(ALWAYS, "START of Soultion"); array_x[1] := x_start; array_x[2] := glob_h; glob_next_display := x_start; order_diff := 1; term_no := 1; while term_no <= order_diff do array_y[term_no] := array_y_init[term_no]* expt(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]* expt(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(); 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 glob_check_sign*array_x[1] < glob_check_sign*x_end and convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) < convfloat(glob_max_sec) do if reached_interval() then omniout_str(INFO, " "); omniout_str(INFO, "TOP MAIN SOLVE Loop") end if; glob_iter := glob_iter + 1; glob_clock_sec := elapsed_time_seconds(); glob_current_iter := glob_current_iter + 1; atomall(); display_alot(current_iter); if glob_look_poles then check_for_pole() end if; if reached_interval() then glob_next_display := glob_next_display + glob_display_interval end if; array_x[1] := array_x[1] + glob_h; array_x[2] := glob_h; order_diff := 2; 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]/( expt(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* expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1); ord := 1; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do array_y_higher_work[1, iii] := array_y_higher[1, iii]/( expt(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* expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1); ord := 1; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y_higher_work[1, iii] := array_y_higher[1, iii]/( expt(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* expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1); term_no := glob_max_terms; while 1 <= term_no do array_y[term_no] := array_y_higher_work2[1, term_no]; ord := 1; while ord <= order_diff do array_y_higher[ord, term_no] := array_y_higher_work2[ord, term_no]; ord := ord + 1 end do; term_no := term_no - 1 end do 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 ) = arcsin (0.1 * x + 0.2) ;") ; 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, "2013-01-28T15:21:22-06:00"); logitem_str(html_log_file, "Maple"); logitem_str(html_log_file, "lin_arcsin"); logitem_str(html_log_file, "diff ( y , x , 1 ) = arcsin (0.1 * x + 0.2) ;"); 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_good_digits(html_log_file, array_last_rel_error[1]); 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_total_exp_sec)); 0 else logitem_str(html_log_file, "Done"); 0 end if; log_revs(html_log_file, " 165 "); logitem_str(html_log_file, "lin_arcsin diffeq.mxt"); logitem_str(html_log_file, "lin_arcsin maple results"); logitem_str(html_log_file, "All Tests - All Languages"); logend(html_log_file) end if; if glob_html_log then fclose(html_log_file) end if end if end proc > # End Function number 12 > main(); ##############ECHO OF PROBLEM################# ##############temp/lin_arcsinpostode.ode################# diff ( y , x , 1 ) = arcsin (0.1 * x + 0.2) ; ! #BEGIN FIRST INPUT BLOCK max_terms:=30; Digits:=32; ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start := -0.8; x_end := 0.8 ; array_y_init[0 + 1] := exact_soln_y(x_start); glob_look_poles := true; glob_max_iter := 100; #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK glob_desired_digits_correct:=10; glob_display_interval:=0.001; glob_look_poles:=true; glob_max_iter:=10000000; glob_max_minutes:=3; glob_subiter_method:=3; #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK exact_soln_y := proc(x) return(10.0 * (0.1 * x + 0.2) * arcsin(0.1 * x + 0.2 ) + 10.0 * sqrt(1.0 - expt((0.1 * x + 0.2) , 2 ))); end; #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 opt_iter = 1 glob_desired_digits_correct = 10 desired_abs_gbl_error = 1.0000000000000000000000000000000e-10 range = 1.6 estimated_steps = 1600 step_error = 6.2500000000000000000000000000000e-14 est_needed_step_err = 6.2500000000000000000000000000000e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 value3 = 2.8510725260773618774215346494683e-106 max_value3 = 2.8510725260773618774215346494683e-106 value3 = 2.8510725260773618774215346494683e-106 best_h = 0.001 START of Soultion TOP MAIN SOLVE Loop x[1] = -0.8 y[1] (analytic) = 10.072086775666430962491010918823 y[1] (numeric) = 10.072086775666430962491010918823 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 12.06 Order of pole = 811.9 TOP MAIN SOLVE Loop x[1] = -0.799 y[1] (analytic) = 10.072207115912965445687039975732 y[1] (numeric) = 10.072207115912965445687039975732 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 12.04 Order of pole = 810.4 TOP MAIN SOLVE Loop x[1] = -0.798 y[1] (analytic) = 10.072327556888597448906096038544 y[1] (numeric) = 10.072327556888597448906096038545 absolute error = 1e-30 relative error = 9.9281918141759283033460637202778e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 12.02 Order of pole = 808.9 TOP MAIN SOLVE Loop x[1] = -0.797 y[1] (analytic) = 10.072448098594554967004924605467 y[1] (numeric) = 10.072448098594554967004924605467 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.99 Order of pole = 807.4 TOP MAIN SOLVE Loop x[1] = -0.796 y[1] (analytic) = 10.072568741032067061860627718663 y[1] (numeric) = 10.072568741032067061860627718663 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.97 Order of pole = 805.9 TOP MAIN SOLVE Loop memory used=3.8MB, alloc=2.9MB, time=0.13 x[1] = -0.795 y[1] (analytic) = 10.072689484202363862485647162992 y[1] (numeric) = 10.072689484202363862485647162993 absolute error = 1e-30 relative error = 9.9278350788869572728820095258797e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.95 Order of pole = 804.4 TOP MAIN SOLVE Loop x[1] = -0.794 y[1] (analytic) = 10.072810328106676565142854946785 y[1] (numeric) = 10.072810328106676565142854946786 absolute error = 1e-30 relative error = 9.9277159742564493725223722106647e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.92 Order of pole = 802.9 TOP MAIN SOLVE Loop x[1] = -0.793 y[1] (analytic) = 10.072931272746237433460751095125 y[1] (numeric) = 10.072931272746237433460751095126 absolute error = 1e-30 relative error = 9.9275967732018945977707236658103e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.9 Order of pole = 801.5 TOP MAIN SOLVE Loop x[1] = -0.792 y[1] (analytic) = 10.073052318122279798548768786152 y[1] (numeric) = 10.073052318122279798548768786153 absolute error = 1e-30 relative error = 9.9274774757291268596953595909014e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.88 Order of pole = 800 TOP MAIN SOLVE Loop x[1] = -0.791 y[1] (analytic) = 10.073173464236038059112686860928 y[1] (numeric) = 10.073173464236038059112686860929 absolute error = 1e-30 relative error = 9.9273580818439845806913129039308e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.86 Order of pole = 798.6 TOP MAIN SOLVE Loop x[1] = -0.79 y[1] (analytic) = 10.073294711088747681570149737435 y[1] (numeric) = 10.073294711088747681570149737436 absolute error = 1e-30 relative error = 9.9272385915523106936929578888119e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.83 Order of pole = 797.2 TOP MAIN SOLVE Loop x[1] = -0.789 y[1] (analytic) = 10.073416058681645200166294759309 y[1] (numeric) = 10.073416058681645200166294759309 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.81 Order of pole = 795.8 TOP MAIN SOLVE Loop x[1] = -0.788 y[1] (analytic) = 10.073537507015968217089487009939 y[1] (numeric) = 10.07353750701596821708948700994 absolute error = 1e-30 relative error = 9.9269993217727623754191023352813e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.79 Order of pole = 794.4 TOP MAIN SOLVE Loop x[1] = -0.787 y[1] (analytic) = 10.073659056092955402587161622617 y[1] (numeric) = 10.073659056092955402587161622617 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.77 Order of pole = 793 TOP MAIN SOLVE Loop x[1] = -0.786 y[1] (analytic) = 10.0737807059138464950817736174 y[1] (numeric) = 10.0737807059138464950817736174 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.75 Order of pole = 791.6 TOP MAIN SOLVE Loop memory used=7.6MB, alloc=3.9MB, time=0.28 x[1] = -0.785 y[1] (analytic) = 10.073902456479882301286855295457 y[1] (numeric) = 10.073902456479882301286855295457 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.73 Order of pole = 790.3 TOP MAIN SOLVE Loop x[1] = -0.784 y[1] (analytic) = 10.074024307792304696323181221623 y[1] (numeric) = 10.074024307792304696323181221623 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.71 Order of pole = 788.9 TOP MAIN SOLVE Loop x[1] = -0.783 y[1] (analytic) = 10.074146259852356623835040825975 y[1] (numeric) = 10.074146259852356623835040825975 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.68 Order of pole = 787.6 TOP MAIN SOLVE Loop x[1] = -0.782 y[1] (analytic) = 10.074268312661282096106618655247 y[1] (numeric) = 10.074268312661282096106618655246 absolute error = 1e-30 relative error = 9.9262791992864215154086464772050e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.66 Order of pole = 786.3 TOP MAIN SOLVE Loop x[1] = -0.781 y[1] (analytic) = 10.074390466220326194178482304929 y[1] (numeric) = 10.074390466220326194178482304928 absolute error = 1e-30 relative error = 9.9261588415996389869944970386937e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.64 Order of pole = 785 TOP MAIN SOLVE Loop x[1] = -0.78 y[1] (analytic) = 10.074512720530735067964178062959 y[1] (numeric) = 10.074512720530735067964178062958 absolute error = 1e-30 relative error = 9.9260383875650020859530611804794e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.62 Order of pole = 783.7 TOP MAIN SOLVE Loop x[1] = -0.779 y[1] (analytic) = 10.0746350755937559363669342959 y[1] (numeric) = 10.074635075593755936366934295898 absolute error = 2e-30 relative error = 1.9851835674376806618036027337131e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.6 Order of pole = 782.4 TOP MAIN SOLVE Loop x[1] = -0.778 y[1] (analytic) = 10.074757531410637087396472608565 y[1] (numeric) = 10.074757531410637087396472608563 absolute error = 2e-30 relative error = 1.9851594380951479307937093701184e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.58 Order of pole = 781.1 TOP MAIN SOLVE Loop x[1] = -0.777 y[1] (analytic) = 10.074880087982627878285926808076 y[1] (numeric) = 10.074880087982627878285926808075 absolute error = 1e-30 relative error = 9.9256764474329126188344678748320e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.56 Order of pole = 779.8 TOP MAIN SOLVE Loop x[1] = -0.776 y[1] (analytic) = 10.075002745310978735608869703357 y[1] (numeric) = 10.075002745310978735608869703356 absolute error = 1e-30 relative error = 9.9255556080658282011007196852687e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.54 Order of pole = 778.6 TOP MAIN SOLVE Loop x[1] = -0.775 y[1] (analytic) = 10.075125503396941155396447771107 y[1] (numeric) = 10.075125503396941155396447771106 absolute error = 1e-30 relative error = 9.9254346723803968969113259693405e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.52 Order of pole = 777.3 TOP MAIN SOLVE Loop memory used=11.4MB, alloc=4.1MB, time=0.44 x[1] = -0.774 y[1] (analytic) = 10.075248362241767703254623719342 y[1] (numeric) = 10.075248362241767703254623719341 absolute error = 1e-30 relative error = 9.9253136403825337002727602350310e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.5 Order of pole = 776.1 TOP MAIN SOLVE Loop x[1] = -0.773 y[1] (analytic) = 10.075371321846712014481526979596 y[1] (numeric) = 10.075371321846712014481526979595 absolute error = 1e-30 relative error = 9.9251925120781581022567391941363e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.49 Order of pole = 774.8 TOP MAIN SOLVE Loop x[1] = -0.772 y[1] (analytic) = 10.07549438221302879418491215893 y[1] (numeric) = 10.075494382213028794184912158929 absolute error = 1e-30 relative error = 9.9250712874731940902024406286186e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.47 Order of pole = 773.6 TOP MAIN SOLVE Loop x[1] = -0.771 y[1] (analytic) = 10.075617543341973817399725482918 y[1] (numeric) = 10.075617543341973817399725482916 absolute error = 2e-30 relative error = 1.9849899933147140293836291834170e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.45 Order of pole = 772.4 TOP MAIN SOLVE Loop x[1] = -0.77 y[1] (analytic) = 10.075740805234803929205779260808 y[1] (numeric) = 10.075740805234803929205779260806 absolute error = 2e-30 relative error = 1.9849657098770438499764614797088e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.43 Order of pole = 771.2 TOP MAIN SOLVE Loop x[1] = -0.769 y[1] (analytic) = 10.075864167892777044845534404103 y[1] (numeric) = 10.075864167892777044845534404101 absolute error = 2e-30 relative error = 1.9849414071828157740888081501378e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.41 Order of pole = 770 TOP MAIN SOLVE Loop x[1] = -0.768 y[1] (analytic) = 10.075987631317152149841991029813 y[1] (numeric) = 10.075987631317152149841991029811 absolute error = 2e-30 relative error = 1.9849170852332181946046085120196e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.39 Order of pole = 768.8 TOP MAIN SOLVE Loop x[1] = -0.767 y[1] (analytic) = 10.076111195509189300116687179684 y[1] (numeric) = 10.076111195509189300116687179682 absolute error = 2e-30 relative error = 1.9848927440294404028617866523652e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.37 Order of pole = 767.6 TOP MAIN SOLVE Loop x[1] = -0.766 y[1] (analytic) = 10.076234860470149622107805686736 y[1] (numeric) = 10.076234860470149622107805686734 absolute error = 2e-30 relative error = 1.9848683835726725884920051251980e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.35 Order of pole = 766.5 TOP MAIN SOLVE Loop x[1] = -0.765 y[1] (analytic) = 10.076358626201295312888389220463 y[1] (numeric) = 10.076358626201295312888389220461 absolute error = 2e-30 relative error = 1.9848440038641058392603037938114e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.34 Order of pole = 765.3 TOP MAIN SOLVE Loop x[1] = -0.764 y[1] (analytic) = 10.076482492703889640284663542094 y[1] (numeric) = 10.076482492703889640284663542092 absolute error = 2e-30 relative error = 1.9848196049049321409046238535324e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.32 Order of pole = 764.2 memory used=15.2MB, alloc=4.2MB, time=0.59 TOP MAIN SOLVE Loop x[1] = -0.763 y[1] (analytic) = 10.076606459979196942994469001334 y[1] (numeric) = 10.076606459979196942994469001332 absolute error = 2e-30 relative error = 1.9847951866963443769752170705787e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.3 Order of pole = 763 TOP MAIN SOLVE Loop x[1] = -0.762 y[1] (analytic) = 10.076730528028482630705800306048 y[1] (numeric) = 10.076730528028482630705800306046 absolute error = 2e-30 relative error = 1.9847707492395363286739402726172e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.28 Order of pole = 761.9 TOP MAIN SOLVE Loop x[1] = -0.761 y[1] (analytic) = 10.076854696853013184215454596372 y[1] (numeric) = 10.07685469685301318421545459637 absolute error = 2e-30 relative error = 1.9847462925357026746934351266568e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.27 Order of pole = 760.8 TOP MAIN SOLVE Loop x[1] = -0.76 y[1] (analytic) = 10.076978966454056155547787854772 y[1] (numeric) = 10.076978966454056155547787854769 absolute error = 3e-30 relative error = 2.9770827248790584865842898598962e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.25 Order of pole = 759.7 TOP MAIN SOLVE Loop x[1] = -0.759 y[1] (analytic) = 10.077103336832880168073579683597 y[1] (numeric) = 10.077103336832880168073579683594 absolute error = 3e-30 relative error = 2.9770459820876126264302599291678e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.23 Order of pole = 758.6 TOP MAIN SOLVE Loop x[1] = -0.758 y[1] (analytic) = 10.077227807990754916629006481726 y[1] (numeric) = 10.077227807990754916629006481723 absolute error = 3e-30 relative error = 2.9770092104310124868764552888360e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.21 Order of pole = 757.5 TOP MAIN SOLVE Loop x[1] = -0.757 y[1] (analytic) = 10.077352379928951167634723051906 y[1] (numeric) = 10.077352379928951167634723051903 absolute error = 3e-30 relative error = 2.9769724099110554684908046364630e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.2 Order of pole = 756.4 TOP MAIN SOLVE Loop x[1] = -0.756 y[1] (analytic) = 10.077477052648740759215052670438 y[1] (numeric) = 10.077477052648740759215052670435 absolute error = 3e-30 relative error = 2.9769355805295403168686831008820e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.18 Order of pole = 755.3 TOP MAIN SOLVE Loop x[1] = -0.755 y[1] (analytic) = 10.077601826151396601317285650892 y[1] (numeric) = 10.077601826151396601317285650889 absolute error = 3e-30 relative error = 2.9768987222882671223906506193361e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.16 Order of pole = 754.3 TOP MAIN SOLVE Loop x[1] = -0.754 y[1] (analytic) = 10.077726700438192675831086433557 y[1] (numeric) = 10.077726700438192675831086433553 absolute error = 4e-30 relative error = 3.9691491135853830933066914942612e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.15 Order of pole = 753.2 TOP MAIN SOLVE Loop x[1] = -0.753 y[1] (analytic) = 10.07785167551040403670800923237 y[1] (numeric) = 10.077851675510404036708009232366 absolute error = 4e-30 relative error = 3.9690998923115382518136600912963e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.13 Order of pole = 752.2 memory used=19.0MB, alloc=4.3MB, time=0.75 TOP MAIN SOLVE Loop x[1] = -0.752 y[1] (analytic) = 10.07797675136930681008112227111 y[1] (numeric) = 10.077976751369306810081122271106 absolute error = 4e-30 relative error = 3.9690506325652271364162105564933e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.11 Order of pole = 751.1 TOP MAIN SOLVE Loop x[1] = -0.751 y[1] (analytic) = 10.078101928016178194384740640647 y[1] (numeric) = 10.078101928016178194384740640642 absolute error = 5e-30 relative error = 4.9612516679360712957183450619539e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.1 Order of pole = 750.1 TOP MAIN SOLVE Loop x[1] = -0.75 y[1] (analytic) = 10.078227205452296460474267809094 y[1] (numeric) = 10.078227205452296460474267809089 absolute error = 5e-30 relative error = 4.9611899970810462914722410962808e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.08 Order of pole = 749 TOP MAIN SOLVE Loop x[1] = -0.749 y[1] (analytic) = 10.078352583678940951746145816742 y[1] (numeric) = 10.078352583678940951746145816738 absolute error = 4e-30 relative error = 3.9689026225155779982183125188972e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.06 Order of pole = 748 TOP MAIN SOLVE Loop x[1] = -0.748 y[1] (analytic) = 10.078478062697392084257914187669 y[1] (numeric) = 10.078478062697392084257914187664 absolute error = 5e-30 relative error = 4.9610665111293657430854814507053e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.05 Order of pole = 747 TOP MAIN SOLVE Loop x[1] = -0.747 y[1] (analytic) = 10.078603642508931346848377589954 y[1] (numeric) = 10.078603642508931346848377589949 absolute error = 5e-30 relative error = 4.9610046960387440939433935021238e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.03 Order of pole = 746 TOP MAIN SOLVE Loop x[1] = -0.746 y[1] (analytic) = 10.078729323114841301257882276488 y[1] (numeric) = 10.078729323114841301257882276483 absolute error = 5e-30 relative error = 4.9609428328756278545418575177191e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11.02 Order of pole = 745 TOP MAIN SOLVE Loop x[1] = -0.745 y[1] (analytic) = 10.078855104516405582248701338356 y[1] (numeric) = 10.078855104516405582248701338351 absolute error = 5e-30 relative error = 4.9608809216430395663313280261899e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 11 Order of pole = 744 TOP MAIN SOLVE Loop x[1] = -0.744 y[1] (analytic) = 10.078980986714908897725528802833 y[1] (numeric) = 10.078980986714908897725528802828 absolute error = 5e-30 relative error = 4.9608189623440040076105712099351e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.99 Order of pole = 743 TOP MAIN SOLVE Loop x[1] = -0.743 y[1] (analytic) = 10.079106969711637028856082608058 y[1] (numeric) = 10.079106969711637028856082608053 absolute error = 5e-30 relative error = 4.9607569549815481931194675762199e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.97 Order of pole = 742.1 TOP MAIN SOLVE Loop x[1] = -0.742 y[1] (analytic) = 10.079233053507876830191816486484 y[1] (numeric) = 10.079233053507876830191816486478 absolute error = 6e-30 relative error = 5.9528338794704416483578354597601e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.96 Order of pole = 741.1 memory used=22.8MB, alloc=4.3MB, time=0.91 TOP MAIN SOLVE Loop x[1] = -0.741 y[1] (analytic) = 10.079359238104916229788740789222 y[1] (numeric) = 10.079359238104916229788740789216 absolute error = 6e-30 relative error = 5.9527593552941940426553608926452e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.94 Order of pole = 740.1 TOP MAIN SOLVE Loop x[1] = -0.74 y[1] (analytic) = 10.079485523504044229328352283454 y[1] (numeric) = 10.079485523504044229328352283449 absolute error = 5e-30 relative error = 4.9605706445439629004804703329154e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.93 Order of pole = 739.2 TOP MAIN SOLVE Loop x[1] = -0.739 y[1] (analytic) = 10.0796119097065509042386729551 y[1] (numeric) = 10.079611909706550904238672955095 absolute error = 5e-30 relative error = 4.9605084449581409248612026177588e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.91 Order of pole = 738.2 TOP MAIN SOLVE Loop x[1] = -0.738 y[1] (analytic) = 10.079738396713727403815397848957 y[1] (numeric) = 10.079738396713727403815397848952 absolute error = 5e-30 relative error = 4.9604461973240672995158485398607e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.9 Order of pole = 737.3 TOP MAIN SOLVE Loop x[1] = -0.737 y[1] (analytic) = 10.079864984526865951343151978582 y[1] (numeric) = 10.079864984526865951343151978578 absolute error = 4e-30 relative error = 3.9683071213158259594110980548669e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.88 Order of pole = 736.4 TOP MAIN SOLVE Loop x[1] = -0.736 y[1] (analytic) = 10.079991673147259844216856338202 y[1] (numeric) = 10.079991673147259844216856338198 absolute error = 4e-30 relative error = 3.9682572463386632260059960415292e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.87 Order of pole = 735.4 TOP MAIN SOLVE Loop x[1] = -0.735 y[1] (analytic) = 10.080118462576203454063203048963 y[1] (numeric) = 10.080118462576203454063203048959 absolute error = 4e-30 relative error = 3.9682073329302015526577734302508e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.85 Order of pole = 734.5 TOP MAIN SOLVE Loop x[1] = -0.734 y[1] (analytic) = 10.080245352814992226862239671888 y[1] (numeric) = 10.080245352814992226862239671884 absolute error = 4e-30 relative error = 3.9681573810928786388376473921279e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.84 Order of pole = 733.6 TOP MAIN SOLVE Loop x[1] = -0.733 y[1] (analytic) = 10.08037234386492268306906271992 y[1] (numeric) = 10.080372343864922683069062719917 absolute error = 3e-30 relative error = 2.9760805431218504774247122938971e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.82 Order of pole = 732.7 TOP MAIN SOLVE Loop x[1] = -0.732 y[1] (analytic) = 10.080499435727292417735620401476 y[1] (numeric) = 10.080499435727292417735620401472 absolute error = 4e-30 relative error = 3.9680573621414088167521976093500e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.81 Order of pole = 731.8 TOP MAIN SOLVE Loop x[1] = -0.731 y[1] (analytic) = 10.080626628403400100632624627946 y[1] (numeric) = 10.080626628403400100632624627942 absolute error = 4e-30 relative error = 3.9680072950321462355299370945679e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.79 Order of pole = 730.9 memory used=26.7MB, alloc=4.3MB, time=1.07 TOP MAIN SOLVE Loop x[1] = -0.73 y[1] (analytic) = 10.080753921894545476371572317648 y[1] (numeric) = 10.080753921894545476371572317644 absolute error = 4e-30 relative error = 3.9679571895037910672646927284019e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.78 Order of pole = 730 TOP MAIN SOLVE Loop x[1] = -0.729 y[1] (analytic) = 10.08088131620202936452687602873 y[1] (numeric) = 10.080881316202029364526876028725 absolute error = 5e-30 relative error = 4.9598838069484874219458625776182e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.77 Order of pole = 729.2 TOP MAIN SOLVE Loop x[1] = -0.728 y[1] (analytic) = 10.081008811327153659758103953574 y[1] (numeric) = 10.081008811327153659758103953569 absolute error = 5e-30 relative error = 4.9598210789994890703066888850584e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.75 Order of pole = 728.3 TOP MAIN SOLVE Loop x[1] = -0.727 y[1] (analytic) = 10.081136407271221331932329307295 y[1] (numeric) = 10.08113640727122133193232930729 absolute error = 5e-30 relative error = 4.9597583030358065213498701934191e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.74 Order of pole = 727.4 TOP MAIN SOLVE Loop x[1] = -0.726 y[1] (analytic) = 10.081264104035536426246589142928 y[1] (numeric) = 10.081264104035536426246589142923 absolute error = 5e-30 relative error = 4.9596954790605047467371483482147e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.72 Order of pole = 726.6 TOP MAIN SOLVE Loop x[1] = -0.725 y[1] (analytic) = 10.081391901621404063350452625959 y[1] (numeric) = 10.081391901621404063350452625954 absolute error = 5e-30 relative error = 4.9596326070766509471931667819447e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.71 Order of pole = 725.7 TOP MAIN SOLVE Loop x[1] = -0.724 y[1] (analytic) = 10.081519800030130439468698800883 y[1] (numeric) = 10.081519800030130439468698800878 absolute error = 5e-30 relative error = 4.9595696870873145520928721695295e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.7 Order of pole = 724.9 TOP MAIN SOLVE Loop x[1] = -0.723 y[1] (analytic) = 10.081647799263022826524103882486 y[1] (numeric) = 10.081647799263022826524103882481 absolute error = 5e-30 relative error = 4.9595067190955672190486327283054e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.68 Order of pole = 724 TOP MAIN SOLVE Loop x[1] = -0.722 y[1] (analytic) = 10.081775899321389572260338104602 y[1] (numeric) = 10.081775899321389572260338104597 absolute error = 5e-30 relative error = 4.9594437031044828334970732538115e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.67 Order of pole = 723.2 TOP MAIN SOLVE Loop x[1] = -0.721 y[1] (analytic) = 10.081904100206540100364972159122 y[1] (numeric) = 10.081904100206540100364972159117 absolute error = 5e-30 relative error = 4.9593806391171375082856269826608e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.66 Order of pole = 722.4 TOP MAIN SOLVE Loop x[1] = -0.72 y[1] (analytic) = 10.082032401919784910592593258056 y[1] (numeric) = 10.082032401919784910592593258051 absolute error = 5e-30 relative error = 4.9593175271366095832588043738441e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.64 Order of pole = 721.5 memory used=30.5MB, alloc=4.3MB, time=1.24 TOP MAIN SOLVE Loop x[1] = -0.719 y[1] (analytic) = 10.082160804462435578888030851492 y[1] (numeric) = 10.082160804462435578888030851488 absolute error = 4e-30 relative error = 3.9674034937327836998753431198941e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.63 Order of pole = 720.7 TOP MAIN SOLVE Loop x[1] = -0.718 y[1] (analytic) = 10.082289307835804757509692034331 y[1] (numeric) = 10.082289307835804757509692034327 absolute error = 4e-30 relative error = 3.9673529273666643405104719513402e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.62 Order of pole = 719.9 TOP MAIN SOLVE Loop x[1] = -0.717 y[1] (analytic) = 10.082417912041206175153006674685 y[1] (numeric) = 10.082417912041206175153006674681 absolute error = 4e-30 relative error = 3.9673023226133976031928502891009e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.61 Order of pole = 719.1 TOP MAIN SOLVE Loop x[1] = -0.716 y[1] (analytic) = 10.082546617079954637073982296902 y[1] (numeric) = 10.082546617079954637073982296898 absolute error = 4e-30 relative error = 3.9672516794754532828743571174625e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.59 Order of pole = 718.3 TOP MAIN SOLVE Loop x[1] = -0.715 y[1] (analytic) = 10.082675422953366025212868752166 y[1] (numeric) = 10.082675422953366025212868752162 absolute error = 4e-30 relative error = 3.9672009979553029544462139057661e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.58 Order of pole = 717.5 TOP MAIN SOLVE Loop x[1] = -0.714 y[1] (analytic) = 10.082804329662757298317932709686 y[1] (numeric) = 10.082804329662757298317932709682 absolute error = 4e-30 relative error = 3.9671502780554199724066423789864e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.57 Order of pole = 716.7 TOP MAIN SOLVE Loop x[1] = -0.713 y[1] (analytic) = 10.082933337209446492069342001513 y[1] (numeric) = 10.082933337209446492069342001509 absolute error = 4e-30 relative error = 3.9670995197782794705282963358146e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.56 Order of pole = 715.9 TOP MAIN SOLVE Loop x[1] = -0.712 y[1] (analytic) = 10.083062445594752719203159854041 y[1] (numeric) = 10.083062445594752719203159854037 absolute error = 4e-30 relative error = 3.9670487231263583615254675876750e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.54 Order of pole = 715.1 TOP MAIN SOLVE Loop x[1] = -0.711 y[1] (analytic) = 10.083191654819996169635449039309 y[1] (numeric) = 10.083191654819996169635449039305 absolute error = 4e-30 relative error = 3.9669978881021353367210660921386e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.53 Order of pole = 714.4 TOP MAIN SOLVE Loop x[1] = -0.71 y[1] (analytic) = 10.083320964886498110586485979227 y[1] (numeric) = 10.083320964886498110586485979223 absolute error = 4e-30 relative error = 3.9669470147080908657133743542485e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.52 Order of pole = 713.6 TOP MAIN SOLVE Loop x[1] = -0.709 y[1] (analytic) = 10.083450375795580886705084835894 y[1] (numeric) = 10.08345037579558088670508483589 absolute error = 4e-30 relative error = 3.9668961029467071960425761693140e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.51 Order of pole = 712.8 TOP MAIN SOLVE Loop memory used=34.3MB, alloc=4.3MB, time=1.40 x[1] = -0.708 y[1] (analytic) = 10.083579887548567920193031621214 y[1] (numeric) = 10.083579887548567920193031621211 absolute error = 3e-30 relative error = 2.9751338646153512646427948355749e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.49 Order of pole = 712.1 TOP MAIN SOLVE Loop x[1] = -0.707 y[1] (analytic) = 10.083709500146783710929628359038 y[1] (numeric) = 10.083709500146783710929628359034 absolute error = 4e-30 relative error = 3.9667941643318601385794955267235e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.48 Order of pole = 711.3 TOP MAIN SOLVE Loop x[1] = -0.706 y[1] (analytic) = 10.083839213591553836596347333087 y[1] (numeric) = 10.083839213591553836596347333083 absolute error = 4e-30 relative error = 3.9667431374833701325726880489471e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.47 Order of pole = 710.6 TOP MAIN SOLVE Loop x[1] = -0.705 y[1] (analytic) = 10.083969027884204952801595453982 y[1] (numeric) = 10.083969027884204952801595453978 absolute error = 4e-30 relative error = 3.9666920722774876908052031379159e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.46 Order of pole = 709.9 TOP MAIN SOLVE Loop x[1] = -0.704 y[1] (analytic) = 10.084098943026064793205588778675 y[1] (numeric) = 10.084098943026064793205588778671 absolute error = 4e-30 relative error = 3.9666409687167039455167692877939e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.45 Order of pole = 709.1 TOP MAIN SOLVE Loop x[1] = -0.703 y[1] (analytic) = 10.084228959018462169645337215676 y[1] (numeric) = 10.084228959018462169645337215672 absolute error = 4e-30 relative error = 3.9665898268035118048834540351006e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.43 Order of pole = 708.4 TOP MAIN SOLVE Loop x[1] = -0.702 y[1] (analytic) = 10.084359075862726972259739449451 y[1] (numeric) = 10.084359075862726972259739449447 absolute error = 4e-30 relative error = 3.9665386465404059526826151549461e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.42 Order of pole = 707.7 TOP MAIN SOLVE Loop x[1] = -0.701 y[1] (analytic) = 10.084489293560190169614788117434 y[1] (numeric) = 10.084489293560190169614788117431 absolute error = 3e-30 relative error = 2.9748655709474121359682200915454e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.41 Order of pole = 706.9 TOP MAIN SOLVE Loop x[1] = -0.7 y[1] (analytic) = 10.084619612112183808828885273108 y[1] (numeric) = 10.084619612112183808828885273105 absolute error = 3e-30 relative error = 2.9748271282308305435117854329232e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.4 Order of pole = 706.2 TOP MAIN SOLVE Loop x[1] = -0.699 y[1] (analytic) = 10.084750031520041015698268168648 y[1] (numeric) = 10.084750031520041015698268168644 absolute error = 4e-30 relative error = 3.9663848756765795914255618731315e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.39 Order of pole = 705.5 TOP MAIN SOLVE Loop x[1] = -0.698 y[1] (analytic) = 10.084880551785095994822545390661 y[1] (numeric) = 10.084880551785095994822545390657 absolute error = 4e-30 relative error = 3.9663335420388012310147011069085e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.38 Order of pole = 704.8 TOP MAIN SOLVE Loop memory used=38.1MB, alloc=4.3MB, time=1.56 x[1] = -0.697 y[1] (analytic) = 10.085011172908684029730343382582 y[1] (numeric) = 10.085011172908684029730343382578 absolute error = 4e-30 relative error = 3.9662821700636092002000003802596e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.37 Order of pole = 704.1 TOP MAIN SOLVE Loop x[1] = -0.696 y[1] (analytic) = 10.085141894892141483005063387314 y[1] (numeric) = 10.08514189489214148300506338731 absolute error = 4e-30 relative error = 3.9662307597535088293179353611230e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.35 Order of pole = 703.4 TOP MAIN SOLVE Loop x[1] = -0.695 y[1] (analytic) = 10.085272717736805796410748843742 y[1] (numeric) = 10.085272717736805796410748843739 absolute error = 3e-30 relative error = 2.9746344833332554164659744158523e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.34 Order of pole = 702.7 TOP MAIN SOLVE Loop x[1] = -0.694 y[1] (analytic) = 10.08540364144401549101806327079 y[1] (numeric) = 10.085403641444015491018063270786 absolute error = 4e-30 relative error = 3.9661278241386132546090220230602e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.33 Order of pole = 702 TOP MAIN SOLVE Loop x[1] = -0.693 y[1] (analytic) = 10.085534666015110167330378672691 y[1] (numeric) = 10.085534666015110167330378672687 absolute error = 4e-30 relative error = 3.9660762988388375763557656324191e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.32 Order of pole = 701.4 TOP MAIN SOLVE Loop x[1] = -0.692 y[1] (analytic) = 10.085665791451430505409974499225 y[1] (numeric) = 10.085665791451430505409974499221 absolute error = 4e-30 relative error = 3.9660247352141926085079608943033e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.31 Order of pole = 700.7 TOP MAIN SOLVE Loop x[1] = -0.691 y[1] (analytic) = 10.085797017754318265004347194661 y[1] (numeric) = 10.085797017754318265004347194656 absolute error = 5e-30 relative error = 4.9574664165839906803495256037517e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.3 Order of pole = 700 TOP MAIN SOLVE Loop x[1] = -0.69 y[1] (analytic) = 10.0859283449251162856726303692 y[1] (numeric) = 10.085928344925116285672630369195 absolute error = 5e-30 relative error = 4.9574018662504416855599093735418e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.29 Order of pole = 699.3 TOP MAIN SOLVE Loop x[1] = -0.689 y[1] (analytic) = 10.086059772965168486912125626757 y[1] (numeric) = 10.086059772965168486912125626752 absolute error = 5e-30 relative error = 4.9573372680202409462690831915779e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.28 Order of pole = 698.7 TOP MAIN SOLVE Loop x[1] = -0.688 y[1] (analytic) = 10.086191301875819868284944082919 y[1] (numeric) = 10.086191301875819868284944082914 absolute error = 5e-30 relative error = 4.9572726218965378460887884376005e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.27 Order of pole = 698 TOP MAIN SOLVE Loop x[1] = -0.687 y[1] (analytic) = 10.086322931658416509544758606989 y[1] (numeric) = 10.086322931658416509544758606984 absolute error = 5e-30 relative error = 4.9572079278824839818165057964567e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.26 Order of pole = 697.4 TOP MAIN SOLVE Loop memory used=41.9MB, alloc=4.4MB, time=1.73 x[1] = -0.686 y[1] (analytic) = 10.086454662314305570763666822028 y[1] (numeric) = 10.086454662314305570763666822023 absolute error = 5e-30 relative error = 4.9571431859812331630121540041896e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.25 Order of pole = 696.7 TOP MAIN SOLVE Loop x[1] = -0.685 y[1] (analytic) = 10.086586493844835292459164896857 y[1] (numeric) = 10.086586493844835292459164896852 absolute error = 5e-30 relative error = 4.9570783961959414115745087437517e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.24 Order of pole = 696.1 TOP MAIN SOLVE Loop x[1] = -0.684 y[1] (analytic) = 10.086718426251354995721232164015 y[1] (numeric) = 10.08671842625135499572123216401 absolute error = 5e-30 relative error = 4.9570135585297669613173417836237e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.22 Order of pole = 695.4 TOP MAIN SOLVE Loop x[1] = -0.683 y[1] (analytic) = 10.086850459535215082339526597683 y[1] (numeric) = 10.086850459535215082339526597678 absolute error = 5e-30 relative error = 4.9569486729858702575452804526839e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.21 Order of pole = 694.8 TOP MAIN SOLVE Loop x[1] = -0.682 y[1] (analytic) = 10.086982593697767034930691185645 y[1] (numeric) = 10.08698259369776703493069118564 absolute error = 5e-30 relative error = 4.9568837395674139566293875447109e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.2 Order of pole = 694.2 TOP MAIN SOLVE Loop x[1] = -0.681 y[1] (analytic) = 10.087114828740363417065771229372 y[1] (numeric) = 10.087114828740363417065771229367 absolute error = 5e-30 relative error = 4.9568187582775629255824617459661e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.19 Order of pole = 693.5 TOP MAIN SOLVE Loop x[1] = -0.68 y[1] (analytic) = 10.087247164664357873397742606346 y[1] (numeric) = 10.087247164664357873397742606341 absolute error = 5e-30 relative error = 4.9567537291194842416340586793552e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.18 Order of pole = 692.9 TOP MAIN SOLVE Loop x[1] = -0.679 y[1] (analytic) = 10.087379601471105129789151028789 y[1] (numeric) = 10.087379601471105129789151028784 absolute error = 5e-30 relative error = 4.9566886520963471918052326587156e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.17 Order of pole = 692.3 TOP MAIN SOLVE Loop x[1] = -0.678 y[1] (analytic) = 10.087512139161960993439862332987 y[1] (numeric) = 10.087512139161960993439862332982 absolute error = 5e-30 relative error = 4.9566235272113232724829992468302e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.16 Order of pole = 691.7 TOP MAIN SOLVE Loop x[1] = -0.677 y[1] (analytic) = 10.087644777738282353014923833423 y[1] (numeric) = 10.087644777738282353014923833418 absolute error = 5e-30 relative error = 4.9565583544675861889945187108292e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.15 Order of pole = 691.1 TOP MAIN SOLVE Loop x[1] = -0.676 y[1] (analytic) = 10.08777751720142717877253677599 y[1] (numeric) = 10.087777517201427178772536775985 absolute error = 5e-30 relative error = 4.9564931338683118551810004686815e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.14 Order of pole = 690.5 TOP MAIN SOLVE Loop memory used=45.7MB, alloc=4.4MB, time=1.89 x[1] = -0.675 y[1] (analytic) = 10.087910357552754522692139924557 y[1] (numeric) = 10.087910357552754522692139924552 absolute error = 5e-30 relative error = 4.9564278654166783929713286205427e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.13 Order of pole = 689.8 TOP MAIN SOLVE Loop x[1] = -0.674 y[1] (analytic) = 10.088043298793624518602604315232 y[1] (numeric) = 10.088043298793624518602604315227 absolute error = 5e-30 relative error = 4.9563625491158661319554086587667e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.12 Order of pole = 689.2 TOP MAIN SOLVE Loop x[1] = -0.673 y[1] (analytic) = 10.088176340925398382310539212656 y[1] (numeric) = 10.088176340925398382310539212651 absolute error = 5e-30 relative error = 4.9562971849690576089572354504557e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.11 Order of pole = 688.7 TOP MAIN SOLVE Loop x[1] = -0.672 y[1] (analytic) = 10.088309483949438411728709302737 y[1] (numeric) = 10.088309483949438411728709302733 absolute error = 4e-30 relative error = 3.9649854183835500540861460691686e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.1 Order of pole = 688.1 TOP MAIN SOLVE Loop x[1] = -0.671 y[1] (analytic) = 10.088442727867107987004563156241 y[1] (numeric) = 10.088442727867107987004563156236 absolute error = 5e-30 relative error = 4.9561663131501929579170131908066e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.09 Order of pole = 687.5 TOP MAIN SOLVE Loop x[1] = -0.67 y[1] (analytic) = 10.088576072679771570648872997686 y[1] (numeric) = 10.088576072679771570648872997681 absolute error = 5e-30 relative error = 4.9561008054845129358471122845715e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.09 Order of pole = 686.9 TOP MAIN SOLVE Loop x[1] = -0.669 y[1] (analytic) = 10.088709518388794707664485814054 y[1] (numeric) = 10.088709518388794707664485814049 absolute error = 5e-30 relative error = 4.9560352499855888628834407982868e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.08 Order of pole = 686.3 TOP MAIN SOLVE Loop x[1] = -0.668 y[1] (analytic) = 10.088843064995544025675185837817 y[1] (numeric) = 10.088843064995544025675185837813 absolute error = 4e-30 relative error = 3.9647757173252914444853690615997e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.07 Order of pole = 685.7 TOP MAIN SOLVE Loop x[1] = -0.667 y[1] (analytic) = 10.088976712501387235054668438861 y[1] (numeric) = 10.088976712501387235054668438857 absolute error = 4e-30 relative error = 3.9647231964006280282114285777339e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.06 Order of pole = 685.2 TOP MAIN SOLVE Loop x[1] = -0.666 y[1] (analytic) = 10.089110460907693129055625459872 y[1] (numeric) = 10.089110460907693129055625459868 absolute error = 4e-30 relative error = 3.9646706372170392218730356917062e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.05 Order of pole = 684.6 TOP MAIN SOLVE Loop x[1] = -0.665 y[1] (analytic) = 10.089244310215831583938942029832 y[1] (numeric) = 10.089244310215831583938942029828 absolute error = 4e-30 relative error = 3.9646180397770851689051831703630e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.04 Order of pole = 684 TOP MAIN SOLVE Loop memory used=49.5MB, alloc=4.4MB, time=2.05 x[1] = -0.664 y[1] (analytic) = 10.089378260427173559103004890269 y[1] (numeric) = 10.089378260427173559103004890265 absolute error = 4e-30 relative error = 3.9645654040833277754462029771483e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.03 Order of pole = 683.5 TOP MAIN SOLVE Loop x[1] = -0.663 y[1] (analytic) = 10.08951231154309109721312226896 y[1] (numeric) = 10.089512311543091097213122268956 absolute error = 4e-30 relative error = 3.9645127301383307099939949778007e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.02 Order of pole = 682.9 TOP MAIN SOLVE Loop x[1] = -0.662 y[1] (analytic) = 10.089646463564957324331055335805 y[1] (numeric) = 10.0896464635649573243310553358 absolute error = 5e-30 relative error = 4.9555750224308242538275418661005e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10.01 Order of pole = 682.4 TOP MAIN SOLVE Loop x[1] = -0.661 y[1] (analytic) = 10.089780716494146450044661275632 y[1] (numeric) = 10.089780716494146450044661275627 absolute error = 5e-30 relative error = 4.9555090843811013085439397159024e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 10 Order of pole = 681.8 TOP MAIN SOLVE Loop x[1] = -0.66 y[1] (analytic) = 10.089915070332033767597648012739 y[1] (numeric) = 10.089915070332033767597648012734 absolute error = 5e-30 relative error = 4.9554430985269557435313805880585e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.993 Order of pole = 681.3 TOP MAIN SOLVE Loop x[1] = -0.659 y[1] (analytic) = 10.090049525079995654019440621973 y[1] (numeric) = 10.090049525079995654019440621968 absolute error = 5e-30 relative error = 4.9553770648716009519073852359088e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.984 Order of pole = 680.7 TOP MAIN SOLVE Loop x[1] = -0.658 y[1] (analytic) = 10.090184080739409570255159461232 y[1] (numeric) = 10.090184080739409570255159461227 absolute error = 5e-30 relative error = 4.9553109834182525275862002200122e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.975 Order of pole = 680.2 TOP MAIN SOLVE Loop x[1] = -0.657 y[1] (analytic) = 10.090318737311654061295710060265 y[1] (numeric) = 10.09031873731165406129571006026 absolute error = 5e-30 relative error = 4.9552448541701282648474190599709e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.966 Order of pole = 679.6 TOP MAIN SOLVE Loop x[1] = -0.656 y[1] (analytic) = 10.090453494798108756307984800704 y[1] (numeric) = 10.0904534947981087563079848007 absolute error = 4e-30 relative error = 3.9641429417043585263234610100384e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.957 Order of pole = 679.1 TOP MAIN SOLVE Loop x[1] = -0.655 y[1] (analytic) = 10.090588353200154368765176422293 y[1] (numeric) = 10.090588353200154368765176422289 absolute error = 4e-30 relative error = 3.9640899618419475203775714567117e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.949 Order of pole = 678.6 TOP MAIN SOLVE Loop x[1] = -0.654 y[1] (analytic) = 10.090723312519172696577203390295 y[1] (numeric) = 10.090723312519172696577203390291 absolute error = 4e-30 relative error = 3.9640369437514491082679390237715e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.94 Order of pole = 678.1 TOP MAIN SOLVE Loop memory used=53.4MB, alloc=4.4MB, time=2.22 x[1] = -0.653 y[1] (analytic) = 10.090858372756546622221247159122 y[1] (numeric) = 10.090858372756546622221247159118 absolute error = 4e-30 relative error = 3.9639838874354445631318851691038e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.931 Order of pole = 677.5 TOP MAIN SOLVE Loop x[1] = -0.652 y[1] (analytic) = 10.090993533913660112872401367237 y[1] (numeric) = 10.090993533913660112872401367233 absolute error = 4e-30 relative error = 3.9639307928965169166701695582337e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.923 Order of pole = 677 TOP MAIN SOLVE Loop x[1] = -0.651 y[1] (analytic) = 10.091128795991898220534432998429 y[1] (numeric) = 10.091128795991898220534432998424 absolute error = 5e-30 relative error = 4.9548470751715636985006974131777e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.914 Order of pole = 676.5 TOP MAIN SOLVE Loop x[1] = -0.65 y[1] (analytic) = 10.091264158992647082170655544587 y[1] (numeric) = 10.091264158992647082170655544582 absolute error = 5e-30 relative error = 4.9547806114502915466389609027836e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.906 Order of pole = 676 TOP MAIN SOLVE Loop x[1] = -0.649 y[1] (analytic) = 10.091399622917293919834914205147 y[1] (numeric) = 10.091399622917293919834914205142 absolute error = 5e-30 relative error = 4.9547140999600650718919981526236e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.897 Order of pole = 675.5 TOP MAIN SOLVE Loop x[1] = -0.648 y[1] (analytic) = 10.091535187767227040802683158391 y[1] (numeric) = 10.091535187767227040802683158386 absolute error = 5e-30 relative error = 4.9546475407041218523697830454506e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.889 Order of pole = 675 TOP MAIN SOLVE Loop x[1] = -0.647 y[1] (analytic) = 10.091670853543835837702274939847 y[1] (numeric) = 10.091670853543835837702274939842 absolute error = 5e-30 relative error = 4.9545809336857016622186217981701e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.88 Order of pole = 674.5 TOP MAIN SOLVE Loop x[1] = -0.646 y[1] (analytic) = 10.091806620248510788646161963042 y[1] (numeric) = 10.091806620248510788646161963037 absolute error = 5e-30 relative error = 4.9545142789080464711867309759772e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.872 Order of pole = 674 TOP MAIN SOLVE Loop x[1] = -0.645 y[1] (analytic) = 10.091942487882643457362410217914 y[1] (numeric) = 10.091942487882643457362410217909 absolute error = 5e-30 relative error = 4.9544475763744004441895394285396e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.864 Order of pole = 673.5 TOP MAIN SOLVE Loop x[1] = -0.644 y[1] (analytic) = 10.092078456447626493326225182212 y[1] (numeric) = 10.092078456447626493326225182208 absolute error = 4e-30 relative error = 3.9635046608704079526997713948869e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.856 Order of pole = 673 TOP MAIN SOLVE Loop x[1] = -0.643 y[1] (analytic) = 10.092214525944853631891609981257 y[1] (numeric) = 10.092214525944853631891609981253 absolute error = 4e-30 relative error = 3.9634512224416988121495286507872e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.847 Order of pole = 672.5 TOP MAIN SOLVE Loop memory used=57.2MB, alloc=4.4MB, time=2.38 x[1] = -0.642 y[1] (analytic) = 10.092350696375719694423135831452 y[1] (numeric) = 10.092350696375719694423135831447 absolute error = 5e-30 relative error = 4.9542471822699919149322471098215e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.839 Order of pole = 672 TOP MAIN SOLVE Loop x[1] = -0.641 y[1] (analytic) = 10.092486967741620588427824802986 y[1] (numeric) = 10.092486967741620588427824802981 absolute error = 5e-30 relative error = 4.9541802887448680813425022623111e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.831 Order of pole = 671.5 TOP MAIN SOLVE Loop x[1] = -0.64 y[1] (analytic) = 10.092623340043953307687144937204 y[1] (numeric) = 10.092623340043953307687144937199 absolute error = 5e-30 relative error = 4.9541133474800071486390395368087e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.823 Order of pole = 671 TOP MAIN SOLVE Loop x[1] = -0.639 y[1] (analytic) = 10.09275981328411593238911775413 y[1] (numeric) = 10.092759813284115932389117754125 absolute error = 5e-30 relative error = 4.9540463584786664435964538085648e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.815 Order of pole = 670.6 TOP MAIN SOLVE Loop x[1] = -0.638 y[1] (analytic) = 10.092896387463507629260538185695 y[1] (numeric) = 10.09289638746350762926053818569 absolute error = 5e-30 relative error = 4.9539793217441054851059436262312e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.807 Order of pole = 670.1 TOP MAIN SOLVE Loop x[1] = -0.637 y[1] (analytic) = 10.09303306258352865169930697023 y[1] (numeric) = 10.093033062583528651699306970225 absolute error = 5e-30 relative error = 4.9539122372795859837384079623887e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.799 Order of pole = 669.6 TOP MAIN SOLVE Loop x[1] = -0.636 y[1] (analytic) = 10.093169838645580339906875543841 y[1] (numeric) = 10.093169838645580339906875543836 absolute error = 5e-30 relative error = 4.9538451050883718413072677463797e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.791 Order of pole = 669.1 TOP MAIN SOLVE Loop x[1] = -0.635 y[1] (analytic) = 10.093306715651065121020803464288 y[1] (numeric) = 10.093306715651065121020803464283 absolute error = 5e-30 relative error = 4.9537779251737291504310122752964e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.784 Order of pole = 668.7 TOP MAIN SOLVE Loop x[1] = -0.634 y[1] (analytic) = 10.093443693601386509247428403055 y[1] (numeric) = 10.09344369360138650924742840305 absolute error = 5e-30 relative error = 4.9537106975389261940954705990091e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.776 Order of pole = 668.2 TOP MAIN SOLVE Loop x[1] = -0.633 y[1] (analytic) = 10.093580772497949105994648741313 y[1] (numeric) = 10.093580772497949105994648741308 absolute error = 5e-30 relative error = 4.9536434221872334452158079751816e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.768 Order of pole = 667.8 TOP MAIN SOLVE Loop x[1] = -0.632 y[1] (analytic) = 10.093717952342158600004818805517 y[1] (numeric) = 10.093717952342158600004818805512 absolute error = 5e-30 relative error = 4.9535760991219235661982474902670e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.76 Order of pole = 667.3 TOP MAIN SOLVE Loop memory used=61.0MB, alloc=4.4MB, time=2.54 x[1] = -0.631 y[1] (analytic) = 10.09385523313542176748775677841 y[1] (numeric) = 10.093855233135421767487756778405 absolute error = 5e-30 relative error = 4.9535087283462714085015169425340e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.753 Order of pole = 666.8 TOP MAIN SOLVE Loop x[1] = -0.63 y[1] (analytic) = 10.09399261487914647225386532125 y[1] (numeric) = 10.093992614879146472253865321245 absolute error = 5e-30 relative error = 4.9534413098635540121980210832135e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.745 Order of pole = 666.4 TOP MAIN SOLVE Loop x[1] = -0.629 y[1] (analytic) = 10.094130097574741665847364943097 y[1] (numeric) = 10.094130097574741665847364943093 absolute error = 4e-30 relative error = 3.9626990749416404844277914495360e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.738 Order of pole = 665.9 TOP MAIN SOLVE Loop x[1] = -0.628 y[1] (analytic) = 10.094267681223617387679640153045 y[1] (numeric) = 10.094267681223617387679640153041 absolute error = 4e-30 relative error = 3.9626450638320340835950791380332e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.73 Order of pole = 665.5 TOP MAIN SOLVE Loop x[1] = -0.627 y[1] (analytic) = 10.094405365827184765162698431298 y[1] (numeric) = 10.094405365827184765162698431294 absolute error = 4e-30 relative error = 3.9625910145646508898824591966840e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.723 Order of pole = 665.1 TOP MAIN SOLVE Loop x[1] = -0.626 y[1] (analytic) = 10.094543151386856013842742055056 y[1] (numeric) = 10.094543151386856013842742055052 absolute error = 4e-30 relative error = 3.9625369271421195353966080281261e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.715 Order of pole = 664.6 TOP MAIN SOLVE Loop x[1] = -0.625 y[1] (analytic) = 10.094681037904044437533852815176 y[1] (numeric) = 10.094681037904044437533852815173 absolute error = 3e-30 relative error = 2.9718621011753028010324046647645e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.708 Order of pole = 664.2 TOP MAIN SOLVE Loop x[1] = -0.624 y[1] (analytic) = 10.09481902538016442845178965963 y[1] (numeric) = 10.094819025380164428451789659626 absolute error = 4e-30 relative error = 3.9624286378421356178412263386709e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.701 Order of pole = 663.7 TOP MAIN SOLVE Loop x[1] = -0.623 y[1] (analytic) = 10.094957113816631467347899299802 y[1] (numeric) = 10.094957113816631467347899299798 absolute error = 4e-30 relative error = 3.9623744359699490632370015534455e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.693 Order of pole = 663.3 TOP MAIN SOLVE Loop x[1] = -0.622 y[1] (analytic) = 10.095095303214862123643139815723 y[1] (numeric) = 10.09509530321486212364313981572 absolute error = 3e-30 relative error = 2.9717401469648597730635563681183e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.686 Order of pole = 662.9 TOP MAIN SOLVE Loop x[1] = -0.621 y[1] (analytic) = 10.095233593576274055562217296347 y[1] (numeric) = 10.095233593576274055562217296344 absolute error = 3e-30 relative error = 2.9716994383457736709701233052721e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.679 Order of pole = 662.4 TOP MAIN SOLVE Loop memory used=64.8MB, alloc=4.4MB, time=2.71 x[1] = -0.62 y[1] (analytic) = 10.095371984902286010267835551025 y[1] (numeric) = 10.095371984902286010267835551022 absolute error = 3e-30 relative error = 2.9716587011221828323554290621205e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.672 Order of pole = 662 TOP MAIN SOLVE Loop x[1] = -0.619 y[1] (analytic) = 10.095510477194317823995058928366 y[1] (numeric) = 10.095510477194317823995058928362 absolute error = 4e-30 relative error = 3.9621572470614238782513791868377e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.664 Order of pole = 661.6 TOP MAIN SOLVE Loop x[1] = -0.618 y[1] (analytic) = 10.095649070453790422185788278705 y[1] (numeric) = 10.095649070453790422185788278701 absolute error = 4e-30 relative error = 3.9621028544925478152457521843790e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.657 Order of pole = 661.2 TOP MAIN SOLVE Loop x[1] = -0.617 y[1] (analytic) = 10.095787764682125819623350096437 y[1] (numeric) = 10.095787764682125819623350096433 absolute error = 4e-30 relative error = 3.9620484237922599490506982025869e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.65 Order of pole = 660.8 TOP MAIN SOLVE Loop x[1] = -0.616 y[1] (analytic) = 10.095926559880747120567198878499 y[1] (numeric) = 10.095926559880747120567198878495 absolute error = 4e-30 relative error = 3.9619939549632063872129349292567e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.643 Order of pole = 660.4 TOP MAIN SOLVE Loop x[1] = -0.615 y[1] (analytic) = 10.096065456051078518887732735329 y[1] (numeric) = 10.096065456051078518887732735325 absolute error = 4e-30 relative error = 3.9619394480080349828778752895592e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.636 Order of pole = 659.9 TOP MAIN SOLVE Loop x[1] = -0.614 y[1] (analytic) = 10.096204453194545298201222290668 y[1] (numeric) = 10.096204453194545298201222290665 absolute error = 3e-30 relative error = 2.9714136771970465008262952336163e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.629 Order of pole = 659.5 TOP MAIN SOLVE Loop x[1] = -0.613 y[1] (analytic) = 10.096343551312573832004852906588 y[1] (numeric) = 10.096343551312573832004852906585 absolute error = 3e-30 relative error = 2.9713727397974540888725301932084e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.622 Order of pole = 659.1 TOP MAIN SOLVE Loop x[1] = -0.612 y[1] (analytic) = 10.096482750406591583811880270176 y[1] (numeric) = 10.096482750406591583811880270173 absolute error = 3e-30 relative error = 2.9713317738092388171570280755449e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.615 Order of pole = 658.7 TOP MAIN SOLVE Loop x[1] = -0.611 y[1] (analytic) = 10.096622050478027107286899378345 y[1] (numeric) = 10.096622050478027107286899378342 absolute error = 3e-30 relative error = 2.9712907792343918096740430658066e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.609 Order of pole = 658.3 TOP MAIN SOLVE Loop x[1] = -0.61 y[1] (analytic) = 10.09676145152831004638122695726 y[1] (numeric) = 10.096761451528310046381226957257 absolute error = 3e-30 relative error = 2.9712497560749054982855866020982e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.602 Order of pole = 657.9 TOP MAIN SOLVE Loop memory used=68.6MB, alloc=4.4MB, time=2.87 x[1] = -0.609 y[1] (analytic) = 10.096900953558871135468397352914 y[1] (numeric) = 10.096900953558871135468397352912 absolute error = 2e-30 relative error = 1.9808058028885157483031224036779e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.595 Order of pole = 657.5 TOP MAIN SOLVE Loop x[1] = -0.608 y[1] (analytic) = 10.097040556571142199479771929427 y[1] (numeric) = 10.097040556571142199479771929424 absolute error = 3e-30 relative error = 2.9711676240099912289784652012730e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.588 Order of pole = 657.1 TOP MAIN SOLVE Loop x[1] = -0.607 y[1] (analytic) = 10.097180260566556154040262011651 y[1] (numeric) = 10.097180260566556154040262011648 absolute error = 3e-30 relative error = 2.9711265151085546717210979892245e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.582 Order of pole = 656.7 TOP MAIN SOLVE Loop x[1] = -0.606 y[1] (analytic) = 10.097320065546547005604165408744 y[1] (numeric) = 10.097320065546547005604165408741 absolute error = 3e-30 relative error = 2.9710853776304616113465499222007e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.575 Order of pole = 656.4 TOP MAIN SOLVE Loop x[1] = -0.605 y[1] (analytic) = 10.097459971512549851591116555356 y[1] (numeric) = 10.097459971512549851591116555353 absolute error = 3e-30 relative error = 2.9710442115777110150511928505427e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.568 Order of pole = 656 TOP MAIN SOLVE Loop x[1] = -0.604 y[1] (analytic) = 10.097599978466000880522150307152 y[1] (numeric) = 10.097599978466000880522150307149 absolute error = 3e-30 relative error = 2.9710030169523031562962417912975e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.562 Order of pole = 655.6 TOP MAIN SOLVE Loop x[1] = -0.603 y[1] (analytic) = 10.097740086408337372155879427402 y[1] (numeric) = 10.0977400864083373721558794274 absolute error = 2e-30 relative error = 1.9806411958374930763600206536981e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.555 Order of pole = 655.2 TOP MAIN SOLVE Loop x[1] = -0.602 y[1] (analytic) = 10.097880295340997697624785801417 y[1] (numeric) = 10.097880295340997697624785801415 absolute error = 2e-30 relative error = 1.9806136946610155166467511782507e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.549 Order of pole = 654.8 TOP MAIN SOLVE Loop x[1] = -0.601 y[1] (analytic) = 10.098020605265421319571625415633 y[1] (numeric) = 10.098020605265421319571625415631 absolute error = 2e-30 relative error = 1.9805861744401055521568516053435e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.542 Order of pole = 654.4 TOP MAIN SOLVE Loop x[1] = -0.6 y[1] (analytic) = 10.098161016183048792285947138202 y[1] (numeric) = 10.0981610161830487922859471382 absolute error = 2e-30 relative error = 1.9805586351761001801181332124828e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.536 Order of pole = 654.1 TOP MAIN SOLVE Loop x[1] = -0.599 y[1] (analytic) = 10.098301528095321761840725337951 y[1] (numeric) = 10.098301528095321761840725337949 absolute error = 2e-30 relative error = 1.9805310768703372677081355640081e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.529 Order of pole = 653.7 TOP MAIN SOLVE Loop memory used=72.4MB, alloc=4.4MB, time=3.03 x[1] = -0.598 y[1] (analytic) = 10.098442141003682966229106378638 y[1] (numeric) = 10.098442141003682966229106378636 absolute error = 2e-30 relative error = 1.9805034995241555518751004085461e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.523 Order of pole = 653.3 TOP MAIN SOLVE Loop x[1] = -0.597 y[1] (analytic) = 10.098582854909576235501269025444 y[1] (numeric) = 10.098582854909576235501269025441 absolute error = 3e-30 relative error = 2.9707138547083419587382554993152e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.516 Order of pole = 653 TOP MAIN SOLVE Loop x[1] = -0.596 y[1] (analytic) = 10.098723669814446491901398800684 y[1] (numeric) = 10.098723669814446491901398800682 absolute error = 2e-30 relative error = 1.9804482877158950055114788780021e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.51 Order of pole = 652.6 TOP MAIN SOLVE Loop x[1] = -0.595 y[1] (analytic) = 10.098864585719739750004776325771 y[1] (numeric) = 10.098864585719739750004776325768 absolute error = 3e-30 relative error = 2.9706309798847469941771982348343e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.504 Order of pole = 652.2 TOP MAIN SOLVE Loop x[1] = -0.594 y[1] (analytic) = 10.099005602626903116854979686457 y[1] (numeric) = 10.099005602626903116854979686454 absolute error = 3e-30 relative error = 2.9705894996430687378261230160923e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.498 Order of pole = 651.9 TOP MAIN SOLVE Loop x[1] = -0.593 y[1] (analytic) = 10.099146720537384792101200858471 y[1] (numeric) = 10.099146720537384792101200858468 absolute error = 3e-30 relative error = 2.9705479908508223638828361248080e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.491 Order of pole = 651.5 TOP MAIN SOLVE Loop x[1] = -0.592 y[1] (analytic) = 10.099287939452634068135676230657 y[1] (numeric) = 10.099287939452634068135676230654 absolute error = 3e-30 relative error = 2.9705064535100238000575812605167e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.485 Order of pole = 651.1 TOP MAIN SOLVE Loop x[1] = -0.591 y[1] (analytic) = 10.099429259374101330231231262772 y[1] (numeric) = 10.099429259374101330231231262769 absolute error = 3e-30 relative error = 2.9704648876226902768323243801904e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.479 Order of pole = 650.8 TOP MAIN SOLVE Loop x[1] = -0.59 y[1] (analytic) = 10.099570680303238056678939315145 y[1] (numeric) = 10.099570680303238056678939315142 absolute error = 3e-30 relative error = 2.9704232931908403271909132662069e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.473 Order of pole = 650.4 TOP MAIN SOLVE Loop x[1] = -0.589 y[1] (analytic) = 10.099712202241496818925894687421 y[1] (numeric) = 10.099712202241496818925894687418 absolute error = 3e-30 relative error = 2.9703816702164937863490746992489e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.467 Order of pole = 650.1 TOP MAIN SOLVE Loop x[1] = -0.588 y[1] (analytic) = 10.099853825190331281713099903646 y[1] (numeric) = 10.099853825190331281713099903643 absolute error = 3e-30 relative error = 2.9703400187016717914842492950588e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.461 Order of pole = 649.7 TOP MAIN SOLVE Loop memory used=76.2MB, alloc=4.4MB, time=3.20 x[1] = -0.587 y[1] (analytic) = 10.099995549151196203213467281007 y[1] (numeric) = 10.099995549151196203213467281004 absolute error = 3e-30 relative error = 2.9702983386483967814652640639965e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.455 Order of pole = 649.4 TOP MAIN SOLVE Loop x[1] = -0.586 y[1] (analytic) = 10.100137374125547435169934819541 y[1] (numeric) = 10.100137374125547435169934819538 absolute error = 3e-30 relative error = 2.9702566300586924965818427523876e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.449 Order of pole = 649 TOP MAIN SOLVE Loop x[1] = -0.585 y[1] (analytic) = 10.100279300114841923033696450199 y[1] (numeric) = 10.100279300114841923033696450196 absolute error = 3e-30 relative error = 2.9702148929345839782739540246684e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.443 Order of pole = 648.7 TOP MAIN SOLVE Loop x[1] = -0.584 y[1] (analytic) = 10.100421327120537706102546678652 y[1] (numeric) = 10.100421327120537706102546678649 absolute error = 3e-30 relative error = 2.9701731272780975688609975453731e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.437 Order of pole = 648.4 TOP MAIN SOLVE Loop x[1] = -0.583 y[1] (analytic) = 10.100563455144093917659339662295 y[1] (numeric) = 10.100563455144093917659339662292 absolute error = 3e-30 relative error = 2.9701313330912609112708280200289e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.431 Order of pole = 648 TOP MAIN SOLVE Loop x[1] = -0.582 y[1] (analytic) = 10.100705684186970785110562757903 y[1] (numeric) = 10.1007056841869707851105627579 absolute error = 3e-30 relative error = 2.9700895103761029487686172540637e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.425 Order of pole = 647.7 TOP MAIN SOLVE Loop x[1] = -0.581 y[1] (analytic) = 10.100848014250629630125024577466 y[1] (numeric) = 10.100848014250629630125024577463 absolute error = 3e-30 relative error = 2.9700476591346539246855542888521e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.419 Order of pole = 647.4 TOP MAIN SOLVE Loop x[1] = -0.58 y[1] (analytic) = 10.100990445336532868772657589731 y[1] (numeric) = 10.100990445336532868772657589728 absolute error = 3e-30 relative error = 2.9700057793689453821473836740607e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.413 Order of pole = 647 TOP MAIN SOLVE Loop x[1] = -0.579 y[1] (analytic) = 10.101132977446144011663435305046 y[1] (numeric) = 10.101132977446144011663435305043 absolute error = 3e-30 relative error = 2.9699638710810101638027819354786e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.407 Order of pole = 646.7 TOP MAIN SOLVE Loop x[1] = -0.578 y[1] (analytic) = 10.101275610580927664086404081104 y[1] (numeric) = 10.101275610580927664086404081101 absolute error = 3e-30 relative error = 2.9699219342728824115515722975535e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.402 Order of pole = 646.4 TOP MAIN SOLVE Loop x[1] = -0.577 y[1] (analytic) = 10.101418344742349526148829587249 y[1] (numeric) = 10.101418344742349526148829587246 absolute error = 3e-30 relative error = 2.9698799689465975662727777198777e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.396 Order of pole = 646 TOP MAIN SOLVE Loop memory used=80.1MB, alloc=4.4MB, time=3.36 x[1] = -0.576 y[1] (analytic) = 10.101561179931876392915457965023 y[1] (numeric) = 10.10156117993187639291545796502 absolute error = 3e-30 relative error = 2.9698379751041923675525123069013e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.39 Order of pole = 645.7 TOP MAIN SOLVE Loop x[1] = -0.575 y[1] (analytic) = 10.101704116150976154547891722676 y[1] (numeric) = 10.101704116150976154547891722673 absolute error = 3e-30 relative error = 2.9697959527477048534117111501781e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.384 Order of pole = 645.4 TOP MAIN SOLVE Loop x[1] = -0.574 y[1] (analytic) = 10.10184715340111779644408040139 y[1] (numeric) = 10.101847153401117796444080401387 absolute error = 3e-30 relative error = 2.9697539018791743600336986624794e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.379 Order of pole = 645.1 TOP MAIN SOLVE Loop x[1] = -0.573 y[1] (analytic) = 10.101990291683771399377926051018 y[1] (numeric) = 10.101990291683771399377926051015 absolute error = 3e-30 relative error = 2.9697118225006415214915954631373e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.373 Order of pole = 644.7 TOP MAIN SOLVE Loop x[1] = -0.572 y[1] (analytic) = 10.102133531000408139639003553149 y[1] (numeric) = 10.102133531000408139639003553146 absolute error = 3e-30 relative error = 2.9696697146141482694755638740153e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.367 Order of pole = 644.4 TOP MAIN SOLVE Loop x[1] = -0.571 y[1] (analytic) = 10.102276871352500289172395829378 y[1] (numeric) = 10.102276871352500289172395829375 absolute error = 3e-30 relative error = 2.9696275782217378330198920855222e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.362 Order of pole = 644.1 TOP MAIN SOLVE Loop x[1] = -0.57 y[1] (analytic) = 10.102420312741521215718643972659 y[1] (numeric) = 10.102420312741521215718643972656 absolute error = 3e-30 relative error = 2.9695854133254547382299170521285e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.356 Order of pole = 643.8 TOP MAIN SOLVE Loop x[1] = -0.569 y[1] (analytic) = 10.10256385516894538295381233969 y[1] (numeric) = 10.102563855168945382953812339687 absolute error = 3e-30 relative error = 2.9695432199273448080087861768586e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.351 Order of pole = 643.5 TOP MAIN SOLVE Loop x[1] = -0.568 y[1] (analytic) = 10.102707498636248350629668642287 y[1] (numeric) = 10.102707498636248350629668642284 absolute error = 3e-30 relative error = 2.9695009980294551617840578442744e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.345 Order of pole = 643.2 TOP MAIN SOLVE Loop x[1] = -0.567 y[1] (analytic) = 10.102851243144906774713979075751 y[1] (numeric) = 10.102851243144906774713979075748 absolute error = 3e-30 relative error = 2.9694587476338342152341408614862e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.34 Order of pole = 642.9 TOP MAIN SOLVE Loop x[1] = -0.566 y[1] (analytic) = 10.102995088696398407530918522276 y[1] (numeric) = 10.102995088696398407530918522273 absolute error = 3e-30 relative error = 2.9694164687425316800145728667590e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.334 Order of pole = 642.6 TOP MAIN SOLVE Loop memory used=83.9MB, alloc=4.4MB, time=3.52 x[1] = -0.565 y[1] (analytic) = 10.103139035292202097901595867456 y[1] (numeric) = 10.103139035292202097901595867453 absolute error = 3e-30 relative error = 2.9693741613575985634841377653134e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.329 Order of pole = 642.3 TOP MAIN SOLVE Loop x[1] = -0.564 y[1] (analytic) = 10.103283082933797791284694468016 y[1] (numeric) = 10.103283082933797791284694468013 absolute error = 3e-30 relative error = 2.9693318254810871684308222519448e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.324 Order of pole = 642 TOP MAIN SOLVE Loop x[1] = -0.563 y[1] (analytic) = 10.103427231622666529917227808901 y[1] (numeric) = 10.103427231622666529917227808898 absolute error = 3e-30 relative error = 2.9692894611150510927976114801176e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.318 Order of pole = 641.7 TOP MAIN SOLVE Loop x[1] = -0.562 y[1] (analytic) = 10.10357148136029045295541038791 y[1] (numeric) = 10.103571481360290452955410387907 absolute error = 3e-30 relative error = 2.9692470682615452294081239372180e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.313 Order of pole = 641.4 TOP MAIN SOLVE Loop x[1] = -0.561 y[1] (analytic) = 10.103715832148152796615643866089 y[1] (numeric) = 10.103715832148152796615643866086 absolute error = 3e-30 relative error = 2.9692046469226257656920855856776e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.308 Order of pole = 641.1 TOP MAIN SOLVE Loop x[1] = -0.56 y[1] (analytic) = 10.103860283987737894315618522133 y[1] (numeric) = 10.103860283987737894315618522131 absolute error = 2e-30 relative error = 1.9794414647335667889404288864745e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.302 Order of pole = 640.8 TOP MAIN SOLVE Loop x[1] = -0.559 y[1] (analytic) = 10.10400483688053117681553004909 y[1] (numeric) = 10.104004836880531176815530049088 absolute error = 2e-30 relative error = 1.9794131458645181722543452449606e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.297 Order of pole = 640.5 TOP MAIN SOLVE Loop x[1] = -0.558 y[1] (analytic) = 10.10414949082801917235941173168 y[1] (numeric) = 10.104149490828019172359411731677 absolute error = 3e-30 relative error = 2.9690772120139670602039959881980e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.292 Order of pole = 640.2 TOP MAIN SOLVE Loop x[1] = -0.557 y[1] (analytic) = 10.104294245831689506816582042596 y[1] (numeric) = 10.104294245831689506816582042594 absolute error = 2e-30 relative error = 1.9793564511693206346558415832323e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.287 Order of pole = 639.9 TOP MAIN SOLVE Loop x[1] = -0.556 y[1] (analytic) = 10.104439101893030903823207696187 y[1] (numeric) = 10.104439101893030903823207696185 absolute error = 2e-30 relative error = 1.9793280753459210600383806473182e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.281 Order of pole = 639.6 TOP MAIN SOLVE Loop x[1] = -0.555 y[1] (analytic) = 10.104584059013533184923982197929 y[1] (numeric) = 10.104584059013533184923982197927 absolute error = 2e-30 relative error = 1.9792996805404886158118373152252e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.276 Order of pole = 639.3 TOP MAIN SOLVE Loop x[1] = -0.554 y[1] (analytic) = 10.104729117194687269713919928179 y[1] (numeric) = 10.104729117194687269713919928177 absolute error = 2e-30 relative error = 1.9792712667544001299577216706459e-29 % Correct digits = 30 h = 0.001 memory used=87.7MB, alloc=4.4MB, time=3.69 Real estimate of pole used for equation 1 Radius of convergence = 9.271 Order of pole = 639 TOP MAIN SOLVE Loop x[1] = -0.553 y[1] (analytic) = 10.104874276437985175980265798695 y[1] (numeric) = 10.104874276437985175980265798694 absolute error = 1e-30 relative error = 9.8962141699451664603014568214231e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.266 Order of pole = 638.7 TOP MAIN SOLVE Loop x[1] = -0.552 y[1] (analytic) = 10.105019536744920019844520520466 y[1] (numeric) = 10.105019536744920019844520520465 absolute error = 1e-30 relative error = 9.8960719112288332656128588220269e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.261 Order of pole = 638.5 TOP MAIN SOLVE Loop x[1] = -0.551 y[1] (analytic) = 10.105164898116986015904581521419 y[1] (numeric) = 10.105164898116986015904581521418 absolute error = 1e-30 relative error = 9.8959295576298981269113467521943e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.256 Order of pole = 638.2 TOP MAIN SOLVE Loop x[1] = -0.55 y[1] (analytic) = 10.105310360555678477376999552621 y[1] (numeric) = 10.10531036055567847737699955262 absolute error = 1e-30 relative error = 9.8957871091552624106378919483416e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.251 Order of pole = 637.9 TOP MAIN SOLVE Loop x[1] = -0.549 y[1] (analytic) = 10.105455924062493816239351021614 y[1] (numeric) = 10.105455924062493816239351021613 absolute error = 1e-30 relative error = 9.8956445658118317875644046851704e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.246 Order of pole = 637.6 TOP MAIN SOLVE Loop x[1] = -0.548 y[1] (analytic) = 10.105601588638929543372726091565 y[1] (numeric) = 10.105601588638929543372726091564 absolute error = 1e-30 relative error = 9.8955019276065162318717009905732e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.241 Order of pole = 637.4 TOP MAIN SOLVE Loop x[1] = -0.547 y[1] (analytic) = 10.105747354286484268704332584945 y[1] (numeric) = 10.105747354286484268704332584945 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.236 Order of pole = 637.1 TOP MAIN SOLVE Loop x[1] = -0.546 y[1] (analytic) = 10.105893221006657701350215730499 y[1] (numeric) = 10.105893221006657701350215730499 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.231 Order of pole = 636.8 TOP MAIN SOLVE Loop x[1] = -0.545 y[1] (analytic) = 10.106039188800950649758093792275 y[1] (numeric) = 10.106039188800950649758093792275 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.226 Order of pole = 636.5 TOP MAIN SOLVE Loop x[1] = -0.544 y[1] (analytic) = 10.106185257670865021850309619563 y[1] (numeric) = 10.106185257670865021850309619563 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.221 Order of pole = 636.3 TOP MAIN SOLVE Loop x[1] = -0.543 y[1] (analytic) = 10.10633142761790382516689815658 y[1] (numeric) = 10.106331427617903825166898156579 absolute error = 1e-30 relative error = 9.8947873138938146827838159023821e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.216 Order of pole = 636 TOP MAIN SOLVE Loop memory used=91.5MB, alloc=4.4MB, time=3.85 x[1] = -0.542 y[1] (analytic) = 10.106477698643571167008769950807 y[1] (numeric) = 10.106477698643571167008769950806 absolute error = 1e-30 relative error = 9.8946441066625398637612212739706e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.211 Order of pole = 635.7 TOP MAIN SOLVE Loop x[1] = -0.541 y[1] (analytic) = 10.106624070749372254581010698917 y[1] (numeric) = 10.106624070749372254581010698917 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.207 Order of pole = 635.5 TOP MAIN SOLVE Loop x[1] = -0.54 y[1] (analytic) = 10.106770543936813395136296869247 y[1] (numeric) = 10.106770543936813395136296869247 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.202 Order of pole = 635.2 TOP MAIN SOLVE Loop x[1] = -0.539 y[1] (analytic) = 10.106917118207401996118427439826 y[1] (numeric) = 10.106917118207401996118427439825 absolute error = 1e-30 relative error = 9.8942139161161290017590497326234e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.197 Order of pole = 634.9 TOP MAIN SOLVE Loop x[1] = -0.538 y[1] (analytic) = 10.107063793562646565305971791001 y[1] (numeric) = 10.107063793562646565305971791 absolute error = 1e-30 relative error = 9.8940703296729587894581705589780e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.192 Order of pole = 634.7 TOP MAIN SOLVE Loop x[1] = -0.537 y[1] (analytic) = 10.107210570004056710956033791737 y[1] (numeric) = 10.107210570004056710956033791736 absolute error = 1e-30 relative error = 9.8939266484441971212802249683630e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.187 Order of pole = 634.4 TOP MAIN SOLVE Loop x[1] = -0.536 y[1] (analytic) = 10.107357447533143141948132118693 y[1] (numeric) = 10.107357447533143141948132118692 absolute error = 1e-30 relative error = 9.8937828724368055402005043834836e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.183 Order of pole = 634.2 TOP MAIN SOLVE Loop x[1] = -0.535 y[1] (analytic) = 10.107504426151417667928196847237 y[1] (numeric) = 10.107504426151417667928196847236 absolute error = 1e-30 relative error = 9.8936390016577498805683461247663e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.178 Order of pole = 633.9 TOP MAIN SOLVE Loop x[1] = -0.534 y[1] (analytic) = 10.107651505860393199452682353573 y[1] (numeric) = 10.107651505860393199452682353572 absolute error = 1e-30 relative error = 9.8934950361140002671776567313918e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.173 Order of pole = 633.7 TOP MAIN SOLVE Loop x[1] = -0.533 y[1] (analytic) = 10.10779868666158374813279656721 y[1] (numeric) = 10.107798686661583748132796567209 absolute error = 1e-30 relative error = 9.8933509758125311143369051139627e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.169 Order of pole = 633.4 TOP MAIN SOLVE Loop x[1] = -0.532 y[1] (analytic) = 10.107945968556504426778846613018 y[1] (numeric) = 10.107945968556504426778846613017 absolute error = 1e-30 relative error = 9.8932068207603211249385857406232e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.164 Order of pole = 633.2 TOP MAIN SOLVE Loop memory used=95.3MB, alloc=4.4MB, time=4.01 x[1] = -0.531 y[1] (analytic) = 10.108093351546671449544700882178 y[1] (numeric) = 10.108093351546671449544700882177 absolute error = 1e-30 relative error = 9.8930625709643532895281520585177e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.159 Order of pole = 632.9 TOP MAIN SOLVE Loop x[1] = -0.53 y[1] (analytic) = 10.108240835633602132072367571343 y[1] (numeric) = 10.108240835633602132072367571342 absolute error = 1e-30 relative error = 9.8929182264316148853724203525947e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.155 Order of pole = 632.7 TOP MAIN SOLVE Loop x[1] = -0.529 y[1] (analytic) = 10.108388420818814891636689729382 y[1] (numeric) = 10.108388420818814891636689729381 absolute error = 1e-30 relative error = 9.8927737871690974755274442438390e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.15 Order of pole = 632.4 TOP MAIN SOLVE Loop x[1] = -0.528 y[1] (analytic) = 10.108536107103829247290156851109 y[1] (numeric) = 10.108536107103829247290156851108 absolute error = 1e-30 relative error = 9.8926292531837969079058600291112e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.146 Order of pole = 632.2 TOP MAIN SOLVE Loop x[1] = -0.527 y[1] (analytic) = 10.108683894490165820007833057432 y[1] (numeric) = 10.10868389449016582000783305743 absolute error = 2e-30 relative error = 1.9784969248965426628687406129754e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.141 Order of pole = 631.9 TOP MAIN SOLVE Loop x[1] = -0.526 y[1] (analytic) = 10.108831782979346332832401901394 y[1] (numeric) = 10.108831782979346332832401901393 absolute error = 1e-30 relative error = 9.8923399010728511096666953971949e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.137 Order of pole = 631.7 TOP MAIN SOLVE Loop x[1] = -0.525 y[1] (analytic) = 10.108979772572893611019327839631 y[1] (numeric) = 10.108979772572893611019327839629 absolute error = 2e-30 relative error = 1.9784390165922437981512009680825e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.132 Order of pole = 631.4 TOP MAIN SOLVE Loop x[1] = -0.524 y[1] (analytic) = 10.109127863272331582182134408767 y[1] (numeric) = 10.109127863272331582182134408765 absolute error = 2e-30 relative error = 1.9784100340309659871226951414307e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.128 Order of pole = 631.2 TOP MAIN SOLVE Loop x[1] = -0.523 y[1] (analytic) = 10.109276055079185276437799146363 y[1] (numeric) = 10.109276055079185276437799146361 absolute error = 2e-30 relative error = 1.9783810325321402404852662784430e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.123 Order of pole = 631 TOP MAIN SOLVE Loop x[1] = -0.522 y[1] (analytic) = 10.109424347994980826552265296009 y[1] (numeric) = 10.109424347994980826552265296008 absolute error = 1e-30 relative error = 9.8917600604858543286313490131436e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.119 Order of pole = 630.7 TOP MAIN SOLVE Loop x[1] = -0.521 y[1] (analytic) = 10.109572742021245468086070336239 y[1] (numeric) = 10.109572742021245468086070336238 absolute error = 1e-30 relative error = 9.8916148636373151299785063103056e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.115 Order of pole = 630.5 TOP MAIN SOLVE Loop memory used=99.1MB, alloc=4.4MB, time=4.17 x[1] = -0.52 y[1] (analytic) = 10.109721237159507539540091372941 y[1] (numeric) = 10.10972123715950753954009137294 absolute error = 1e-30 relative error = 9.8914695721221136995941010094033e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.11 Order of pole = 630.2 TOP MAIN SOLVE Loop x[1] = -0.519 y[1] (analytic) = 10.109869833411296482501407435011 y[1] (numeric) = 10.10986983341129648250140743501 absolute error = 1e-30 relative error = 9.8913241859472844070433428494362e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.106 Order of pole = 630 TOP MAIN SOLVE Loop x[1] = -0.518 y[1] (analytic) = 10.110018530778142841789278713003 y[1] (numeric) = 10.110018530778142841789278713002 absolute error = 1e-30 relative error = 9.8911787051198658973924184792374e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.101 Order of pole = 629.8 TOP MAIN SOLVE Loop x[1] = -0.517 y[1] (analytic) = 10.110167329261578265601242780579 y[1] (numeric) = 10.110167329261578265601242780578 absolute error = 1e-30 relative error = 9.8910331296469010902700294257922e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.097 Order of pole = 629.5 TOP MAIN SOLVE Loop x[1] = -0.516 y[1] (analytic) = 10.110316228863135505659327838606 y[1] (numeric) = 10.110316228863135505659327838605 absolute error = 1e-30 relative error = 9.8908874595354371789284033376309e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.093 Order of pole = 629.3 TOP MAIN SOLVE Loop x[1] = -0.515 y[1] (analytic) = 10.110465229584348417356383021761 y[1] (numeric) = 10.11046522958434841735638302176 absolute error = 1e-30 relative error = 9.8907416947925256293037787067035e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.088 Order of pole = 629.1 TOP MAIN SOLVE Loop x[1] = -0.514 y[1] (analytic) = 10.110614331426751959902525807573 y[1] (numeric) = 10.110614331426751959902525807572 absolute error = 1e-30 relative error = 9.8905958354252221790763632722056e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.084 Order of pole = 628.9 TOP MAIN SOLVE Loop x[1] = -0.513 y[1] (analytic) = 10.110763534391882196471706567833 y[1] (numeric) = 10.110763534391882196471706567832 absolute error = 1e-30 relative error = 9.8904498814405868367297663099511e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.08 Order of pole = 628.6 TOP MAIN SOLVE Loop x[1] = -0.512 y[1] (analytic) = 10.110912838481276294348390302369 y[1] (numeric) = 10.110912838481276294348390302368 absolute error = 1e-30 relative error = 9.8903038328456838806099050109523e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.076 Order of pole = 628.4 TOP MAIN SOLVE Loop x[1] = -0.511 y[1] (analytic) = 10.111062243696472525074355595205 y[1] (numeric) = 10.111062243696472525074355595204 absolute error = 1e-30 relative error = 9.8901576896475818579833851529719e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.072 Order of pole = 628.2 TOP MAIN SOLVE Loop x[1] = -0.51 y[1] (analytic) = 10.111211750039010264595610833159 y[1] (numeric) = 10.111211750039010264595610833158 absolute error = 1e-30 relative error = 9.8900114518533535840953562689070e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.067 Order of pole = 628 TOP MAIN SOLVE Loop memory used=103.0MB, alloc=4.4MB, time=4.34 x[1] = -0.509 y[1] (analytic) = 10.111361357510429993409427726976 y[1] (numeric) = 10.111361357510429993409427726975 absolute error = 1e-30 relative error = 9.8898651194700761412268415159520e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.063 Order of pole = 627.7 TOP MAIN SOLVE Loop x[1] = -0.508 y[1] (analytic) = 10.111511066112273296711492175133 y[1] (numeric) = 10.111511066112273296711492175131 absolute error = 2e-30 relative error = 1.9779437385009661755503084899150e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.059 Order of pole = 627.5 TOP MAIN SOLVE Loop x[1] = -0.507 y[1] (analytic) = 10.111660875846082864543172510472 y[1] (numeric) = 10.11166087584608286454317251047 absolute error = 2e-30 relative error = 1.9779144341929406814384237812907e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.055 Order of pole = 627.3 TOP MAIN SOLVE Loop x[1] = -0.506 y[1] (analytic) = 10.111810786713402491938905169887 y[1] (numeric) = 10.111810786713402491938905169885 absolute error = 2e-30 relative error = 1.9778851109713567214551888401139e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.051 Order of pole = 627.1 TOP MAIN SOLVE Loop x[1] = -0.505 y[1] (analytic) = 10.111960798715777079073697827279 y[1] (numeric) = 10.111960798715777079073697827277 absolute error = 2e-30 relative error = 1.9778557688376331237980671673624e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.047 Order of pole = 626.9 TOP MAIN SOLVE Loop x[1] = -0.504 y[1] (analytic) = 10.112110911854752631410750030085 y[1] (numeric) = 10.112110911854752631410750030083 absolute error = 2e-30 relative error = 1.9778264077931895691274523892930e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.043 Order of pole = 626.7 TOP MAIN SOLVE Loop x[1] = -0.503 y[1] (analytic) = 10.112261126131876259849191379678 y[1] (numeric) = 10.112261126131876259849191379676 absolute error = 2e-30 relative error = 1.9777970278394465903775047298197e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.038 Order of pole = 626.5 TOP MAIN SOLVE Loop x[1] = -0.502 y[1] (analytic) = 10.112411441548696180871937295998 y[1] (numeric) = 10.112411441548696180871937295996 absolute error = 2e-30 relative error = 1.9777676289778255725668827090896e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.034 Order of pole = 626.2 TOP MAIN SOLVE Loop x[1] = -0.501 y[1] (analytic) = 10.112561858106761716693662406804 y[1] (numeric) = 10.112561858106761716693662406801 absolute error = 3e-30 relative error = 2.9666073168146231289140551637889e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.03 Order of pole = 626 TOP MAIN SOLVE Loop x[1] = -0.5 y[1] (analytic) = 10.112712375807623295408891601963 y[1] (numeric) = 10.112712375807623295408891601961 absolute error = 2e-30 relative error = 1.9777087745366392191243982479614e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.026 Order of pole = 625.8 TOP MAIN SOLVE Loop x[1] = -0.499 y[1] (analytic) = 10.112862994652832451140208793263 y[1] (numeric) = 10.112862994652832451140208793261 absolute error = 2e-30 relative error = 1.9776793189599209122474636018310e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.022 Order of pole = 625.6 TOP MAIN SOLVE Loop memory used=106.8MB, alloc=4.4MB, time=4.50 x[1] = -0.498 y[1] (analytic) = 10.113013714643941824186583420214 y[1] (numeric) = 10.113013714643941824186583420212 absolute error = 2e-30 relative error = 1.9776498444810186234404408187550e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.018 Order of pole = 625.4 TOP MAIN SOLVE Loop x[1] = -0.497 y[1] (analytic) = 10.113164535782505161171814742408 y[1] (numeric) = 10.113164535782505161171814742406 absolute error = 2e-30 relative error = 1.9776203511013579953017911621827e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.014 Order of pole = 625.2 TOP MAIN SOLVE Loop x[1] = -0.496 y[1] (analytic) = 10.113315458070077315193093958994 y[1] (numeric) = 10.113315458070077315193093958992 absolute error = 2e-30 relative error = 1.9775908388223655213766664271272e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.01 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = -0.495 y[1] (analytic) = 10.11346648150821424596968419588 y[1] (numeric) = 10.113466481508214245969684195877 absolute error = 3e-30 relative error = 2.9663419614682028189503625540566e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.007 Order of pole = 624.8 TOP MAIN SOLVE Loop x[1] = -0.494 y[1] (analytic) = 10.113617606098473019991718401311 y[1] (numeric) = 10.113617606098473019991718401308 absolute error = 3e-30 relative error = 2.9662976363581428959114155333099e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 9.003 Order of pole = 624.6 TOP MAIN SOLVE Loop x[1] = -0.493 y[1] (analytic) = 10.113768831842411810669115190516 y[1] (numeric) = 10.113768831842411810669115190513 absolute error = 3e-30 relative error = 2.9662532829055120808153619126865e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.999 Order of pole = 624.4 TOP MAIN SOLVE Loop x[1] = -0.492 y[1] (analytic) = 10.113920158741589898480612680132 y[1] (numeric) = 10.11392015874158989848061268013 absolute error = 2e-30 relative error = 1.9774726007416368112056650888874e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.995 Order of pole = 624.2 TOP MAIN SOLVE Loop x[1] = -0.491 y[1] (analytic) = 10.114071586797567671122920353176 y[1] (numeric) = 10.114071586797567671122920353174 absolute error = 2e-30 relative error = 1.9774429939874122813537227214399e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.991 Order of pole = 624 TOP MAIN SOLVE Loop x[1] = -0.49 y[1] (analytic) = 10.114223116011906623659988995351 y[1] (numeric) = 10.114223116011906623659988995349 absolute error = 2e-30 relative error = 1.9774133683424327262193763391229e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.987 Order of pole = 623.8 TOP MAIN SOLVE Loop x[1] = -0.489 y[1] (analytic) = 10.114374746386169358672398743529 y[1] (numeric) = 10.114374746386169358672398743527 absolute error = 2e-30 relative error = 1.9773837238081305906487493876832e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.983 Order of pole = 623.6 TOP MAIN SOLVE Loop x[1] = -0.488 y[1] (analytic) = 10.114526477921919586406865287274 y[1] (numeric) = 10.114526477921919586406865287272 absolute error = 2e-30 relative error = 1.9773540603859391689117290975830e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.979 Order of pole = 623.4 TOP MAIN SOLVE Loop memory used=110.6MB, alloc=4.4MB, time=4.67 x[1] = -0.487 y[1] (analytic) = 10.114678310620722124925864264319 y[1] (numeric) = 10.114678310620722124925864264317 absolute error = 2e-30 relative error = 1.9773243780772926045111314981336e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.976 Order of pole = 623.2 TOP MAIN SOLVE Loop x[1] = -0.486 y[1] (analytic) = 10.114830244484142900257373890932 y[1] (numeric) = 10.11483024448414290025737389093 absolute error = 2e-30 relative error = 1.9772946768836258899917623149974e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.972 Order of pole = 623 TOP MAIN SOLVE Loop x[1] = -0.485 y[1] (analytic) = 10.114982279513748946544735868167 y[1] (numeric) = 10.114982279513748946544735868165 absolute error = 2e-30 relative error = 1.9772649568063748667493737922825e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.968 Order of pole = 622.8 TOP MAIN SOLVE Loop x[1] = -0.484 y[1] (analytic) = 10.115134415711108406196634605003 y[1] (numeric) = 10.115134415711108406196634605001 absolute error = 2e-30 relative error = 1.9772352178469762248395174804778e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.964 Order of pole = 622.6 TOP MAIN SOLVE Loop x[1] = -0.483 y[1] (analytic) = 10.115286653077790530037194799442 y[1] (numeric) = 10.11528665307779053003719479944 absolute error = 2e-30 relative error = 1.9772054600068675027862930314900e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.961 Order of pole = 622.4 TOP MAIN SOLVE Loop x[1] = -0.482 y[1] (analytic) = 10.115438991615365677456197418652 y[1] (numeric) = 10.11543899161536567745619741865 absolute error = 2e-30 relative error = 1.9771756832874870873909930420638e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.957 Order of pole = 622.2 TOP MAIN SOLVE Loop x[1] = -0.481 y[1] (analytic) = 10.115591431325405316559414119287 y[1] (numeric) = 10.115591431325405316559414119285 absolute error = 2e-30 relative error = 1.9771458876902742135406439868846e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.953 Order of pole = 622 TOP MAIN SOLVE Loop x[1] = -0.48 y[1] (analytic) = 10.115743972209482024319060149152 y[1] (numeric) = 10.11574397220948202431906014915 absolute error = 2e-30 relative error = 1.9771160732166689640164432826818e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.949 Order of pole = 621.9 TOP MAIN SOLVE Loop x[1] = -0.479 y[1] (analytic) = 10.115896614269169486724365771423 y[1] (numeric) = 10.115896614269169486724365771421 absolute error = 2e-30 relative error = 1.9770862398681122693020925246646e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.946 Order of pole = 621.7 TOP MAIN SOLVE Loop x[1] = -0.478 y[1] (analytic) = 10.11604935750604249893226625266 y[1] (numeric) = 10.116049357506042498932266252658 absolute error = 2e-30 relative error = 1.9770563876460459073920269366468e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.942 Order of pole = 621.5 TOP MAIN SOLVE Loop x[1] = -0.477 y[1] (analytic) = 10.116202201921676965418210455895 y[1] (numeric) = 10.116202201921676965418210455893 absolute error = 2e-30 relative error = 1.9770265165519125035995410762285e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.938 Order of pole = 621.3 TOP MAIN SOLVE Loop memory used=114.4MB, alloc=4.4MB, time=4.83 x[1] = -0.476 y[1] (analytic) = 10.116355147517649900127088080114 y[1] (numeric) = 10.116355147517649900127088080112 absolute error = 2e-30 relative error = 1.9769966265871555303648108364258e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.935 Order of pole = 621.1 TOP MAIN SOLVE Loop x[1] = -0.475 y[1] (analytic) = 10.116508194295539426624275587489 y[1] (numeric) = 10.116508194295539426624275587487 absolute error = 2e-30 relative error = 1.9769667177532193070628117851517e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.931 Order of pole = 620.9 TOP MAIN SOLVE Loop x[1] = -0.474 y[1] (analytic) = 10.11666134225692477824680085975 y[1] (numeric) = 10.116661342256924778246800859748 absolute error = 2e-30 relative error = 1.9769367900515489998111338839765e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.928 Order of pole = 620.8 TOP MAIN SOLVE Loop x[1] = -0.473 y[1] (analytic) = 10.116814591403386298254626625131 y[1] (numeric) = 10.116814591403386298254626625129 absolute error = 2e-30 relative error = 1.9769068434835906212776926276063e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.924 Order of pole = 620.6 TOP MAIN SOLVE Loop x[1] = -0.472 y[1] (analytic) = 10.116967941736505439982052697355 y[1] (numeric) = 10.116967941736505439982052697353 absolute error = 2e-30 relative error = 1.9768768780507910304883366455421e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.92 Order of pole = 620.4 TOP MAIN SOLVE Loop x[1] = -0.471 y[1] (analytic) = 10.117121393257864766989237068162 y[1] (numeric) = 10.11712139325786476698923706816 absolute error = 2e-30 relative error = 1.9768468937545979326343518073960e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.917 Order of pole = 620.2 TOP MAIN SOLVE Loop x[1] = -0.47 y[1] (analytic) = 10.117274945969047953213835894931 y[1] (numeric) = 10.117274945969047953213835894929 absolute error = 2e-30 relative error = 1.9768168905964598788798618733603e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.913 Order of pole = 620 TOP MAIN SOLVE Loop x[1] = -0.469 y[1] (analytic) = 10.117428599871639783122762424964 y[1] (numeric) = 10.117428599871639783122762424962 absolute error = 2e-30 relative error = 1.9767868685778262661691257313435e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.91 Order of pole = 619.9 TOP MAIN SOLVE Loop x[1] = -0.468 y[1] (analytic) = 10.117582354967226151864064898064 y[1] (numeric) = 10.117582354967226151864064898062 absolute error = 2e-30 relative error = 1.9767568277001473370337312623019e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.906 Order of pole = 619.7 TOP MAIN SOLVE Loop x[1] = -0.467 y[1] (analytic) = 10.11773621125739406541892346905 y[1] (numeric) = 10.117736211257394065418923469048 absolute error = 2e-30 relative error = 1.9767267679648741793996858753201e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.903 Order of pole = 619.5 TOP MAIN SOLVE Loop x[1] = -0.466 y[1] (analytic) = 10.117890168743731640753766191911 y[1] (numeric) = 10.117890168743731640753766191908 absolute error = 3e-30 relative error = 2.9650450340601880895916056310023e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.899 Order of pole = 619.3 TOP MAIN SOLVE Loop x[1] = -0.465 y[1] (analytic) = 10.118044227427828105972504107326 y[1] (numeric) = 10.118044227427828105972504107323 absolute error = 3e-30 relative error = 2.9649998878910306342303847836368e-29 % Correct digits = 30 h = 0.001 memory used=118.2MB, alloc=4.4MB, time=4.99 Real estimate of pole used for equation 1 Radius of convergence = 8.896 Order of pole = 619.2 TOP MAIN SOLVE Loop x[1] = -0.464 y[1] (analytic) = 10.118198387311273800468885475323 y[1] (numeric) = 10.11819838731127380046888547532 absolute error = 3e-30 relative error = 2.9649547134420193374420310583932e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.892 Order of pole = 619 TOP MAIN SOLVE Loop x[1] = -0.463 y[1] (analytic) = 10.118352648395660175078969194877 y[1] (numeric) = 10.118352648395660175078969194874 absolute error = 3e-30 relative error = 2.9649095107153359005853330390315e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.889 Order of pole = 618.8 TOP MAIN SOLVE Loop x[1] = -0.462 y[1] (analytic) = 10.118507010682579792233717452298 y[1] (numeric) = 10.118507010682579792233717452295 absolute error = 3e-30 relative error = 2.9648642797131632916615648670536e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.885 Order of pole = 618.7 TOP MAIN SOLVE Loop x[1] = -0.461 y[1] (analytic) = 10.118661474173626326111707640283 y[1] (numeric) = 10.118661474173626326111707640281 absolute error = 2e-30 relative error = 1.9765460136251238300161289215402e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.882 Order of pole = 618.5 TOP MAIN SOLVE Loop x[1] = -0.46 y[1] (analytic) = 10.118816038870394562791963589565 y[1] (numeric) = 10.118816038870394562791963589563 absolute error = 2e-30 relative error = 1.9765158219273925073922871368205e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.879 Order of pole = 618.3 TOP MAIN SOLVE Loop x[1] = -0.459 y[1] (analytic) = 10.118970704774480400406906155099 y[1] (numeric) = 10.118970704774480400406906155096 absolute error = 3e-30 relative error = 2.9647284170755591060406323232127e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.875 Order of pole = 618.2 TOP MAIN SOLVE Loop x[1] = -0.458 y[1] (analytic) = 10.119125471887480849295423198794 y[1] (numeric) = 10.119125471887480849295423198792 absolute error = 2e-30 relative error = 1.9764553819955232076983604958217e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.872 Order of pole = 618 TOP MAIN SOLVE Loop x[1] = -0.457 y[1] (analytic) = 10.119280340210994032156059010826 y[1] (numeric) = 10.119280340210994032156059010824 absolute error = 2e-30 relative error = 1.9764251337643034496435831845075e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.869 Order of pole = 617.8 TOP MAIN SOLVE Loop x[1] = -0.456 y[1] (analytic) = 10.119435309746619184200323211585 y[1] (numeric) = 10.119435309746619184200323211583 absolute error = 2e-30 relative error = 1.9763948666915071710325096727369e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.865 Order of pole = 617.7 TOP MAIN SOLVE Loop x[1] = -0.455 y[1] (analytic) = 10.119590380495956653306119176387 y[1] (numeric) = 10.119590380495956653306119176385 absolute error = 2e-30 relative error = 1.9763645807785955894396880222056e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.862 Order of pole = 617.5 TOP MAIN SOLVE Loop x[1] = -0.454 y[1] (analytic) = 10.119745552460607900171292025084 y[1] (numeric) = 10.119745552460607900171292025082 absolute error = 2e-30 relative error = 1.9763342760270307653168786625208e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.859 Order of pole = 617.3 memory used=122.0MB, alloc=4.4MB, time=5.16 TOP MAIN SOLVE Loop x[1] = -0.453 y[1] (analytic) = 10.119900825642175498467296218765 y[1] (numeric) = 10.119900825642175498467296218763 absolute error = 2e-30 relative error = 1.9763039524382756017987026752358e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.855 Order of pole = 617.2 TOP MAIN SOLVE Loop x[1] = -0.452 y[1] (analytic) = 10.120056200042263134992982805764 y[1] (numeric) = 10.120056200042263134992982805762 absolute error = 2e-30 relative error = 1.9762736100137938445081873729785e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.852 Order of pole = 617 TOP MAIN SOLVE Loop x[1] = -0.451 y[1] (analytic) = 10.120211675662475609828506359238 y[1] (numeric) = 10.120211675662475609828506359236 absolute error = 2e-30 relative error = 1.9762432487550500813622092155033e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.849 Order of pole = 616.9 TOP MAIN SOLVE Loop x[1] = -0.45 y[1] (analytic) = 10.120367252504418836489351648623 y[1] (numeric) = 10.120367252504418836489351648621 absolute error = 2e-30 relative error = 1.9762128686635097423768341045145e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.845 Order of pole = 616.7 TOP MAIN SOLVE Loop x[1] = -0.449 y[1] (analytic) = 10.120522930569699842080480087287 y[1] (numeric) = 10.120522930569699842080480087285 absolute error = 2e-30 relative error = 1.9761824697406390994725550991259e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.842 Order of pole = 616.5 TOP MAIN SOLVE Loop x[1] = -0.448 y[1] (analytic) = 10.120678709859926767450595998772 y[1] (numeric) = 10.120678709859926767450595998771 absolute error = 1e-30 relative error = 9.8807602599395263313971379691959e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.839 Order of pole = 616.4 TOP MAIN SOLVE Loop x[1] = -0.447 y[1] (analytic) = 10.120834590376708867346532744034 y[1] (numeric) = 10.120834590376708867346532744032 absolute error = 2e-30 relative error = 1.9761216154067761979421020009397e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.836 Order of pole = 616.2 TOP MAIN SOLVE Loop x[1] = -0.446 y[1] (analytic) = 10.120990572121656510567758752118 y[1] (numeric) = 10.120990572121656510567758752117 absolute error = 1e-30 relative error = 9.8804557999936034546237698961494e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.832 Order of pole = 616.1 TOP MAIN SOLVE Loop x[1] = -0.445 y[1] (analytic) = 10.121146655096381180121003496786 y[1] (numeric) = 10.121146655096381180121003496785 absolute error = 1e-30 relative error = 9.8803034288260419140795612551468e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.829 Order of pole = 615.9 TOP MAIN SOLVE Loop x[1] = -0.444 y[1] (analytic) = 10.121302839302495473375003461595 y[1] (numeric) = 10.121302839302495473375003461593 absolute error = 2e-30 relative error = 1.9760301927077097521331840493998e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.826 Order of pole = 615.8 TOP MAIN SOLVE Loop x[1] = -0.443 y[1] (analytic) = 10.121459124741613102215368136009 y[1] (numeric) = 10.121459124741613102215368136008 absolute error = 1e-30 relative error = 9.8799984041384805906393911877975e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.823 Order of pole = 615.6 TOP MAIN SOLVE Loop memory used=125.8MB, alloc=4.4MB, time=5.32 x[1] = -0.442 y[1] (analytic) = 10.121615511415348893199566085152 y[1] (numeric) = 10.12161551141534889319956608515 absolute error = 2e-30 relative error = 1.9759691501266396405895261424735e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.82 Order of pole = 615.5 TOP MAIN SOLVE Loop x[1] = -0.441 y[1] (analytic) = 10.121771999325318787712031135822 y[1] (numeric) = 10.12177199932531878771203113582 absolute error = 2e-30 relative error = 1.9759386006060133196503001446280e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.816 Order of pole = 615.3 TOP MAIN SOLVE Loop x[1] = -0.44 y[1] (analytic) = 10.121928588473139842119388721477 y[1] (numeric) = 10.121928588473139842119388721475 absolute error = 2e-30 relative error = 1.9759080322672909955893300660037e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.813 Order of pole = 615.1 TOP MAIN SOLVE Loop x[1] = -0.439 y[1] (analytic) = 10.122085278860430227925802428887 y[1] (numeric) = 10.122085278860430227925802428885 absolute error = 2e-30 relative error = 1.9758774451119473486369173982899e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.81 Order of pole = 615 TOP MAIN SOLVE Loop x[1] = -0.438 y[1] (analytic) = 10.12224207048880923192844078922 y[1] (numeric) = 10.122242070488809231928440789218 absolute error = 2e-30 relative error = 1.9758468391414578987786474133955e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.807 Order of pole = 614.9 TOP MAIN SOLVE Loop x[1] = -0.437 y[1] (analytic) = 10.122398963359897256373064356356 y[1] (numeric) = 10.122398963359897256373064356354 absolute error = 2e-30 relative error = 1.9758162143572990055593991983263e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.804 Order of pole = 614.7 TOP MAIN SOLVE Loop x[1] = -0.436 y[1] (analytic) = 10.122555957475315819109733115263 y[1] (numeric) = 10.122555957475315819109733115261 absolute error = 2e-30 relative error = 1.9757855707609478678872536565211e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.801 Order of pole = 614.6 TOP MAIN SOLVE Loop x[1] = -0.435 y[1] (analytic) = 10.122713052836687553748634263308 y[1] (numeric) = 10.122713052836687553748634263306 absolute error = 2e-30 relative error = 1.9757549083538825238372995177527e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.798 Order of pole = 614.4 TOP MAIN SOLVE Loop x[1] = -0.434 y[1] (analytic) = 10.122870249445636209816030407408 y[1] (numeric) = 10.122870249445636209816030407406 absolute error = 2e-30 relative error = 1.9757242271375818504553373987179e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.795 Order of pole = 614.3 TOP MAIN SOLVE Loop x[1] = -0.433 y[1] (analytic) = 10.123027547303786652910328219976 y[1] (numeric) = 10.123027547303786652910328219974 absolute error = 2e-30 relative error = 1.9756935271135255635614819564586e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.792 Order of pole = 614.1 TOP MAIN SOLVE Loop x[1] = -0.432 y[1] (analytic) = 10.12318494641276486485826759665 y[1] (numeric) = 10.123184946412764864858267596648 absolute error = 2e-30 relative error = 1.9756628082831942175536621767702e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.788 Order of pole = 614 TOP MAIN SOLVE Loop memory used=129.7MB, alloc=4.4MB, time=5.48 x[1] = -0.431 y[1] (analytic) = 10.123342446774197943871231358825 y[1] (numeric) = 10.123342446774197943871231358823 absolute error = 2e-30 relative error = 1.9756320706480692052110198397762e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.785 Order of pole = 613.8 TOP MAIN SOLVE Loop x[1] = -0.43 y[1] (analytic) = 10.123500048389714104701675544057 y[1] (numeric) = 10.123500048389714104701675544055 absolute error = 2e-30 relative error = 1.9756013142096327574972062048589e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.782 Order of pole = 613.7 TOP MAIN SOLVE Loop x[1] = -0.429 y[1] (analytic) = 10.123657751260942678799680327439 y[1] (numeric) = 10.123657751260942678799680327438 absolute error = 1e-30 relative error = 9.8778526948468397168178847857860e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.779 Order of pole = 613.5 TOP MAIN SOLVE Loop x[1] = -0.428 y[1] (analytic) = 10.123815555389514114469621617097 y[1] (numeric) = 10.123815555389514114469621617096 absolute error = 1e-30 relative error = 9.8776987246437933477614272892868e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.776 Order of pole = 613.4 TOP MAIN SOLVE Loop x[1] = -0.427 y[1] (analytic) = 10.123973460777059977026963366972 y[1] (numeric) = 10.123973460777059977026963366971 absolute error = 1e-30 relative error = 9.8775446604464484019963717026132e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.773 Order of pole = 613.3 TOP MAIN SOLVE Loop x[1] = -0.426 y[1] (analytic) = 10.124131467425212948955170650127 y[1] (numeric) = 10.124131467425212948955170650125 absolute error = 2e-30 relative error = 1.9754781004524465576371654957188e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.77 Order of pole = 613.1 TOP MAIN SOLVE Loop x[1] = -0.425 y[1] (analytic) = 10.124289575335606830062743535812 y[1] (numeric) = 10.124289575335606830062743535811 absolute error = 1e-30 relative error = 9.8772362500985786009902424310927e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.767 Order of pole = 613 TOP MAIN SOLVE Loop x[1] = -0.424 y[1] (analytic) = 10.12444778450987653764037181361 y[1] (numeric) = 10.124447784509876537640371813609 absolute error = 1e-30 relative error = 9.8770819039629221200808371753658e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.764 Order of pole = 612.8 TOP MAIN SOLVE Loop x[1] = -0.423 y[1] (analytic) = 10.12460609494965810661821060797 y[1] (numeric) = 10.124606094949658106618210607969 absolute error = 1e-30 relative error = 9.8769274638627038091525321443534e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.761 Order of pole = 612.7 TOP MAIN SOLVE Loop x[1] = -0.422 y[1] (analytic) = 10.124764506656588689723276926524 y[1] (numeric) = 10.124764506656588689723276926523 absolute error = 1e-30 relative error = 9.8767729298053683149363673925127e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.759 Order of pole = 612.6 TOP MAIN SOLVE Loop x[1] = -0.421 y[1] (analytic) = 10.124923019632306557636967185587 y[1] (numeric) = 10.124923019632306557636967185586 absolute error = 1e-30 relative error = 9.8766183017983644662114153989426e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.756 Order of pole = 612.4 TOP MAIN SOLVE Loop memory used=133.5MB, alloc=4.5MB, time=5.64 x[1] = -0.42 y[1] (analytic) = 10.125081633878451099152695756293 y[1] (numeric) = 10.125081633878451099152695756292 absolute error = 1e-30 relative error = 9.8764635798491452728161870816058e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.753 Order of pole = 612.3 TOP MAIN SOLVE Loop x[1] = -0.419 y[1] (analytic) = 10.125240349396662821333654574858 y[1] (numeric) = 10.125240349396662821333654574857 absolute error = 1e-30 relative error = 9.8763087639651679246595312345468e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.75 Order of pole = 612.2 TOP MAIN SOLVE Loop x[1] = -0.418 y[1] (analytic) = 10.125399166188583349670693860498 y[1] (numeric) = 10.125399166188583349670693860498 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.747 Order of pole = 612 TOP MAIN SOLVE Loop x[1] = -0.417 y[1] (analytic) = 10.125558084255855428240323984571 y[1] (numeric) = 10.125558084255855428240323984571 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.744 Order of pole = 611.9 TOP MAIN SOLVE Loop x[1] = -0.416 y[1] (analytic) = 10.125717103600122919862838534538 y[1] (numeric) = 10.125717103600122919862838534538 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.741 Order of pole = 611.8 TOP MAIN SOLVE Loop x[1] = -0.415 y[1] (analytic) = 10.125876224223030806260558616405 y[1] (numeric) = 10.125876224223030806260558616405 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.738 Order of pole = 611.6 TOP MAIN SOLVE Loop x[1] = -0.414 y[1] (analytic) = 10.126035446126225188216198439316 y[1] (numeric) = 10.126035446126225188216198439316 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.735 Order of pole = 611.5 TOP MAIN SOLVE Loop x[1] = -0.413 y[1] (analytic) = 10.126194769311353285731352226024 y[1] (numeric) = 10.126194769311353285731352226024 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.732 Order of pole = 611.4 TOP MAIN SOLVE Loop x[1] = -0.412 y[1] (analytic) = 10.126354193780063438185102493003 y[1] (numeric) = 10.126354193780063438185102493003 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.73 Order of pole = 611.3 TOP MAIN SOLVE Loop x[1] = -0.411 y[1] (analytic) = 10.126513719534005104492749743999 y[1] (numeric) = 10.126513719534005104492749743999 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.727 Order of pole = 611.1 TOP MAIN SOLVE Loop x[1] = -0.41 y[1] (analytic) = 10.12667334657482886326466362086 y[1] (numeric) = 10.12667334657482886326466362086 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.724 Order of pole = 611 TOP MAIN SOLVE Loop memory used=137.3MB, alloc=4.5MB, time=5.80 x[1] = -0.409 y[1] (analytic) = 10.126833074904186412965255555522 y[1] (numeric) = 10.126833074904186412965255555523 absolute error = 1e-30 relative error = 9.8747554403572644787404562766872e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.721 Order of pole = 610.9 TOP MAIN SOLVE Loop x[1] = -0.408 y[1] (analytic) = 10.126992904523730572072072967075 y[1] (numeric) = 10.126992904523730572072072967075 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.718 Order of pole = 610.7 TOP MAIN SOLVE Loop x[1] = -0.407 y[1] (analytic) = 10.127152835435115279235015047848 y[1] (numeric) = 10.127152835435115279235015047849 absolute error = 1e-30 relative error = 9.8744436491664222715665701918079e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.716 Order of pole = 610.6 TOP MAIN SOLVE Loop x[1] = -0.406 y[1] (analytic) = 10.127312867639995593435670182541 y[1] (numeric) = 10.127312867639995593435670182541 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.713 Order of pole = 610.5 TOP MAIN SOLVE Loop x[1] = -0.405 y[1] (analytic) = 10.127473001140027694146775044393 y[1] (numeric) = 10.127473001140027694146775044394 absolute error = 1e-30 relative error = 9.8741314826258452285343027340195e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.71 Order of pole = 610.4 TOP MAIN SOLVE Loop x[1] = -0.404 y[1] (analytic) = 10.127633235936868881491795412511 y[1] (numeric) = 10.127633235936868881491795412511 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.707 Order of pole = 610.2 TOP MAIN SOLVE Loop x[1] = -0.403 y[1] (analytic) = 10.127793572032177576404628754422 y[1] (numeric) = 10.127793572032177576404628754422 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.704 Order of pole = 610.1 TOP MAIN SOLVE Loop x[1] = -0.402 y[1] (analytic) = 10.127954009427613320789428618046 y[1] (numeric) = 10.127954009427613320789428618046 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.702 Order of pole = 610 TOP MAIN SOLVE Loop x[1] = -0.401 y[1] (analytic) = 10.128114548124836777680550877246 y[1] (numeric) = 10.128114548124836777680550877246 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.699 Order of pole = 609.9 TOP MAIN SOLVE Loop x[1] = -0.4 y[1] (analytic) = 10.128275188125509731402621875207 y[1] (numeric) = 10.128275188125509731402621875207 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.696 Order of pole = 609.8 TOP MAIN SOLVE Loop x[1] = -0.399 y[1] (analytic) = 10.128435929431295087730728509901 y[1] (numeric) = 10.128435929431295087730728509901 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.694 Order of pole = 609.6 TOP MAIN SOLVE Loop x[1] = -0.398 y[1] (analytic) = 10.128596772043856874050730305959 y[1] (numeric) = 10.128596772043856874050730305959 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.691 Order of pole = 609.5 memory used=141.1MB, alloc=4.5MB, time=5.97 TOP MAIN SOLVE Loop x[1] = -0.397 y[1] (analytic) = 10.128757715964860239519693517283 y[1] (numeric) = 10.128757715964860239519693517283 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.688 Order of pole = 609.4 TOP MAIN SOLVE Loop x[1] = -0.396 y[1] (analytic) = 10.128918761195971455226447304803 y[1] (numeric) = 10.128918761195971455226447304803 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.685 Order of pole = 609.3 TOP MAIN SOLVE Loop x[1] = -0.395 y[1] (analytic) = 10.129079907738857914352262033791 y[1] (numeric) = 10.129079907738857914352262033791 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.683 Order of pole = 609.2 TOP MAIN SOLVE Loop x[1] = -0.394 y[1] (analytic) = 10.129241155595188132331649735207 y[1] (numeric) = 10.129241155595188132331649735206 absolute error = 1e-30 relative error = 9.8724078599670835859579149773310e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.68 Order of pole = 609 TOP MAIN SOLVE Loop x[1] = -0.393 y[1] (analytic) = 10.129402504766631747013286775577 y[1] (numeric) = 10.129402504766631747013286775576 absolute error = 1e-30 relative error = 9.8722506044105382182755221671950e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.677 Order of pole = 608.9 TOP MAIN SOLVE Loop x[1] = -0.392 y[1] (analytic) = 10.129563955254859518821058779958 y[1] (numeric) = 10.129563955254859518821058779958 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.675 Order of pole = 608.8 TOP MAIN SOLVE Loop x[1] = -0.391 y[1] (analytic) = 10.129725507061543330915227852563 y[1] (numeric) = 10.129725507061543330915227852563 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.672 Order of pole = 608.7 TOP MAIN SOLVE Loop x[1] = -0.39 y[1] (analytic) = 10.129887160188356189353722139673 y[1] (numeric) = 10.129887160188356189353722139673 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.67 Order of pole = 608.6 TOP MAIN SOLVE Loop x[1] = -0.389 y[1] (analytic) = 10.130048914636972223253547779507 y[1] (numeric) = 10.130048914636972223253547779507 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.667 Order of pole = 608.5 TOP MAIN SOLVE Loop x[1] = -0.388 y[1] (analytic) = 10.130210770409066684952323283744 y[1] (numeric) = 10.130210770409066684952323283744 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.664 Order of pole = 608.3 TOP MAIN SOLVE Loop x[1] = -0.387 y[1] (analytic) = 10.130372727506315950169936395446 y[1] (numeric) = 10.130372727506315950169936395446 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.662 Order of pole = 608.2 TOP MAIN SOLVE Loop memory used=144.9MB, alloc=4.5MB, time=6.13 x[1] = -0.386 y[1] (analytic) = 10.130534785930397518170323468157 y[1] (numeric) = 10.130534785930397518170323468157 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.659 Order of pole = 608.1 TOP MAIN SOLVE Loop x[1] = -0.385 y[1] (analytic) = 10.13069694568299001192337141101 y[1] (numeric) = 10.13069694568299001192337141101 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.657 Order of pole = 608 TOP MAIN SOLVE Loop x[1] = -0.384 y[1] (analytic) = 10.130859206765773178266942244694 y[1] (numeric) = 10.130859206765773178266942244693 absolute error = 1e-30 relative error = 9.8708310873786693019887082331391e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.654 Order of pole = 607.9 TOP MAIN SOLVE Loop x[1] = -0.383 y[1] (analytic) = 10.131021569180427888069020313185 y[1] (numeric) = 10.131021569180427888069020313184 absolute error = 1e-30 relative error = 9.8706728948450682481972101419986e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.651 Order of pole = 607.8 TOP MAIN SOLVE Loop x[1] = -0.382 y[1] (analytic) = 10.131184032928636136389982196187 y[1] (numeric) = 10.131184032928636136389982196186 absolute error = 1e-30 relative error = 9.8705146086555545701923370889587e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.649 Order of pole = 607.7 TOP MAIN SOLVE Loop x[1] = -0.381 y[1] (analytic) = 10.131346598012081042644989367256 y[1] (numeric) = 10.131346598012081042644989367255 absolute error = 1e-30 relative error = 9.8703562288177435626488095409109e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.646 Order of pole = 607.6 TOP MAIN SOLVE Loop x[1] = -0.38 y[1] (analytic) = 10.131509264432446850766503642628 y[1] (numeric) = 10.131509264432446850766503642627 absolute error = 1e-30 relative error = 9.8701977553392546613439020300567e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.644 Order of pole = 607.5 TOP MAIN SOLVE Loop x[1] = -0.379 y[1] (analytic) = 10.131672032191418929366925465819 y[1] (numeric) = 10.131672032191418929366925465818 absolute error = 1e-30 relative error = 9.8700391882277114421482542261619e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.641 Order of pole = 607.3 TOP MAIN SOLVE Loop x[1] = -0.378 y[1] (analytic) = 10.131834901290683771901355073084 y[1] (numeric) = 10.131834901290683771901355073083 absolute error = 1e-30 relative error = 9.8698805274907416200161841912864e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.639 Order of pole = 607.2 TOP MAIN SOLVE Loop x[1] = -0.377 y[1] (analytic) = 10.131997871731928996830476584887 y[1] (numeric) = 10.131997871731928996830476584886 absolute error = 1e-30 relative error = 9.8697217731359770479755040323436e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.636 Order of pole = 607.1 TOP MAIN SOLVE Loop x[1] = -0.376 y[1] (analytic) = 10.132160943516843347783565068553 y[1] (numeric) = 10.132160943516843347783565068551 absolute error = 2e-30 relative error = 1.9739125850342107432233676333895e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.634 Order of pole = 607 TOP MAIN SOLVE Loop memory used=148.7MB, alloc=4.5MB, time=6.29 x[1] = -0.375 y[1] (analytic) = 10.132324116647116693721616617322 y[1] (numeric) = 10.13232411664711669372161661732 absolute error = 2e-30 relative error = 1.9738807967207223501164888836147e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.631 Order of pole = 606.9 TOP MAIN SOLVE Loop x[1] = -0.374 y[1] (analytic) = 10.132487391124440029100601491071 y[1] (numeric) = 10.132487391124440029100601491069 absolute error = 2e-30 relative error = 1.9738489896882590825109076306277e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.629 Order of pole = 606.8 TOP MAIN SOLVE Loop x[1] = -0.373 y[1] (analytic) = 10.132650766950505474034840363991 y[1] (numeric) = 10.13265076695050547403484036399 absolute error = 1e-30 relative error = 9.8690858196917530972431196831991e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.626 Order of pole = 606.7 TOP MAIN SOLVE Loop x[1] = -0.372 y[1] (analytic) = 10.132814244127006274460503724573 y[1] (numeric) = 10.132814244127006274460503724572 absolute error = 1e-30 relative error = 9.8689265973626373328733051380228e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.624 Order of pole = 606.6 TOP MAIN SOLVE Loop x[1] = -0.371 y[1] (analytic) = 10.132977822655636802299234473263 y[1] (numeric) = 10.132977822655636802299234473261 absolute error = 2e-30 relative error = 1.9737534562923209559344322065811e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.621 Order of pole = 606.5 TOP MAIN SOLVE Loop x[1] = -0.37 y[1] (analytic) = 10.133141502538092555621893763222 y[1] (numeric) = 10.13314150253809255562189376322 absolute error = 2e-30 relative error = 1.9737215743992632457710085486291e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.619 Order of pole = 606.4 TOP MAIN SOLVE Loop x[1] = -0.369 y[1] (analytic) = 10.133305283776070158812430129646 y[1] (numeric) = 10.133305283776070158812430129644 absolute error = 2e-30 relative error = 1.9736896737948873203222874204374e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.616 Order of pole = 606.3 TOP MAIN SOLVE Loop x[1] = -0.368 y[1] (analytic) = 10.133469166371267362731871953132 y[1] (numeric) = 10.13346916637126736273187195313 absolute error = 2e-30 relative error = 1.9736577544807269896180618679090e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.614 Order of pole = 606.2 TOP MAIN SOLVE Loop x[1] = -0.367 y[1] (analytic) = 10.133633150325383044882443302647 y[1] (numeric) = 10.133633150325383044882443302645 absolute error = 2e-30 relative error = 1.9736258164583168892769909149302e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.611 Order of pole = 606.1 TOP MAIN SOLVE Loop x[1] = -0.366 y[1] (analytic) = 10.133797235640117209571803203668 y[1] (numeric) = 10.133797235640117209571803203666 absolute error = 2e-30 relative error = 1.9735938597291924803034708165790e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.609 Order of pole = 606 TOP MAIN SOLVE Loop x[1] = -0.365 y[1] (analytic) = 10.133961422317170988077408377115 y[1] (numeric) = 10.133961422317170988077408377112 absolute error = 3e-30 relative error = 2.9603428264423350733266109650547e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.606 Order of pole = 605.9 TOP MAIN SOLVE Loop memory used=152.5MB, alloc=4.5MB, time=6.45 x[1] = -0.364 y[1] (analytic) = 10.13412571035824663881099949473 y[1] (numeric) = 10.134125710358246638810999494727 absolute error = 3e-30 relative error = 2.9602948352354200592788333597273e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.604 Order of pole = 605.8 TOP MAIN SOLVE Loop x[1] = -0.363 y[1] (analytic) = 10.134290099765047547483210996622 y[1] (numeric) = 10.134290099765047547483210996619 absolute error = 3e-30 relative error = 2.9602468159753505822246419009294e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.602 Order of pole = 605.7 TOP MAIN SOLVE Loop x[1] = -0.362 y[1] (analytic) = 10.134454590539278227268304516684 y[1] (numeric) = 10.134454590539278227268304516682 absolute error = 2e-30 relative error = 1.9734658457762898552901027077628e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.599 Order of pole = 605.6 TOP MAIN SOLVE Loop x[1] = -0.361 y[1] (analytic) = 10.134619182682644318969025961698 y[1] (numeric) = 10.134619182682644318969025961696 absolute error = 2e-30 relative error = 1.9734337955366546924896008718995e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.597 Order of pole = 605.5 TOP MAIN SOLVE Loop x[1] = -0.36 y[1] (analytic) = 10.134783876196852591181586289914 y[1] (numeric) = 10.134783876196852591181586289913 absolute error = 1e-30 relative error = 9.8670086329976765439791531066214e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.594 Order of pole = 605.4 TOP MAIN SOLVE Loop x[1] = -0.359 y[1] (analytic) = 10.134948671083610940460766034997 y[1] (numeric) = 10.134948671083610940460766034995 absolute error = 2e-30 relative error = 1.9733696389664729372174331819174e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.592 Order of pole = 605.3 TOP MAIN SOLVE Loop x[1] = -0.358 y[1] (analytic) = 10.135113567344628391485143621206 y[1] (numeric) = 10.135113567344628391485143621205 absolute error = 1e-30 relative error = 9.8666876631950481726009829571827e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.59 Order of pole = 605.2 TOP MAIN SOLVE Loop x[1] = -0.357 y[1] (analytic) = 10.135278564981615097222447515785 y[1] (numeric) = 10.135278564981615097222447515784 absolute error = 1e-30 relative error = 9.8665270380934414051151874577134e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.587 Order of pole = 605.1 TOP MAIN SOLVE Loop x[1] = -0.356 y[1] (analytic) = 10.13544366399628233909503226451 y[1] (numeric) = 10.135443663996282339095032264508 absolute error = 2e-30 relative error = 1.9732732639070525803938843076418e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.585 Order of pole = 605 TOP MAIN SOLVE Loop x[1] = -0.355 y[1] (analytic) = 10.135608864390342527145478456439 y[1] (numeric) = 10.135608864390342527145478456437 absolute error = 2e-30 relative error = 1.9732411015056470594454618599632e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.583 Order of pole = 604.9 TOP MAIN SOLVE Loop x[1] = -0.354 y[1] (analytic) = 10.13577416616550920020231666392 y[1] (numeric) = 10.135774166165509200202316663918 absolute error = 2e-30 relative error = 1.9732089204160170679309774493159e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.58 Order of pole = 604.8 TOP MAIN SOLVE Loop x[1] = -0.353 y[1] (analytic) = 10.135939569323497026045875403953 y[1] (numeric) = 10.135939569323497026045875403951 absolute error = 2e-30 relative error = 1.9731767206397087783397084609800e-29 % Correct digits = 30 h = 0.001 memory used=156.4MB, alloc=4.5MB, time=6.62 Real estimate of pole used for equation 1 Radius of convergence = 8.578 Order of pole = 604.7 TOP MAIN SOLVE Loop x[1] = -0.352 y[1] (analytic) = 10.136105073866021801574253167055 y[1] (numeric) = 10.136105073866021801574253167054 absolute error = 1e-30 relative error = 9.8657225108913459284624576510202e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.576 Order of pole = 604.6 TOP MAIN SOLVE Loop x[1] = -0.351 y[1] (analytic) = 10.136270679794800452969414559814 y[1] (numeric) = 10.136270679794800452969414559812 absolute error = 2e-30 relative error = 1.9731122650332461073371133127956e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.573 Order of pole = 604.5 TOP MAIN SOLVE Loop x[1] = -0.35 y[1] (analytic) = 10.136436387111551035863410607341 y[1] (numeric) = 10.13643638711155103586341060734 absolute error = 1e-30 relative error = 9.8654000460309409137180145215511e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.571 Order of pole = 604.4 TOP MAIN SOLVE Loop x[1] = -0.349 y[1] (analytic) = 10.13660219581799273550472326191 y[1] (numeric) = 10.136602195817992735504723261909 absolute error = 1e-30 relative error = 9.8652386734932243664971297567700e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.569 Order of pole = 604.3 TOP MAIN SOLVE Loop x[1] = -0.348 y[1] (analytic) = 10.136768105915845866924734164061 y[1] (numeric) = 10.13676810591584586692473416406 absolute error = 1e-30 relative error = 9.8650772075608323105229024926932e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.566 Order of pole = 604.3 TOP MAIN SOLVE Loop x[1] = -0.347 y[1] (analytic) = 10.136934117406831875104317702534 y[1] (numeric) = 10.136934117406831875104317702533 absolute error = 1e-30 relative error = 9.8649156482415202688329730731803e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.564 Order of pole = 604.2 TOP MAIN SOLVE Loop x[1] = -0.346 y[1] (analytic) = 10.137100230292673335140558419409 y[1] (numeric) = 10.137100230292673335140558419408 absolute error = 1e-30 relative error = 9.8647539955430478709771292074977e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.562 Order of pole = 604.1 TOP MAIN SOLVE Loop x[1] = -0.345 y[1] (analytic) = 10.137266444575093952413592806883 y[1] (numeric) = 10.137266444575093952413592806883 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.56 Order of pole = 604 TOP MAIN SOLVE Loop x[1] = -0.344 y[1] (analytic) = 10.13743276025581856275357554215 y[1] (numeric) = 10.137432760255818562753575542149 absolute error = 1e-30 relative error = 9.8644304100396810513711348095051e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.557 Order of pole = 603.9 TOP MAIN SOLVE Loop x[1] = -0.343 y[1] (analytic) = 10.137599177336573132607770206883 y[1] (numeric) = 10.137599177336573132607770206882 absolute error = 1e-30 relative error = 9.8642684772503264120449036765372e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.555 Order of pole = 603.8 TOP MAIN SOLVE Loop x[1] = -0.342 y[1] (analytic) = 10.13776569581908475920776453789 y[1] (numeric) = 10.13776569581908475920776453789 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.553 Order of pole = 603.7 TOP MAIN SOLVE Loop memory used=160.2MB, alloc=4.5MB, time=6.78 x[1] = -0.341 y[1] (analytic) = 10.137932315705081670736810255507 y[1] (numeric) = 10.137932315705081670736810255506 absolute error = 1e-30 relative error = 9.8639443316351548999857172363762e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.55 Order of pole = 603.6 TOP MAIN SOLVE Loop x[1] = -0.34 y[1] (analytic) = 10.138099036996293226497287516367 y[1] (numeric) = 10.138099036996293226497287516366 absolute error = 1e-30 relative error = 9.8637821188249024210232312555965e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.548 Order of pole = 603.5 TOP MAIN SOLVE Loop x[1] = -0.339 y[1] (analytic) = 10.138265859694449917078294037233 y[1] (numeric) = 10.138265859694449917078294037232 absolute error = 1e-30 relative error = 9.8636198126899218888382541853692e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.546 Order of pole = 603.4 TOP MAIN SOLVE Loop x[1] = -0.338 y[1] (analytic) = 10.138432783801283364523358936574 y[1] (numeric) = 10.138432783801283364523358936573 absolute error = 1e-30 relative error = 9.8634574132380057481008190690468e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.544 Order of pole = 603.4 TOP MAIN SOLVE Loop x[1] = -0.337 y[1] (analytic) = 10.138599809318526322498281340666 y[1] (numeric) = 10.138599809318526322498281340665 absolute error = 1e-30 relative error = 9.8632949204769505407415276195682e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.542 Order of pole = 603.3 TOP MAIN SOLVE Loop x[1] = -0.336 y[1] (analytic) = 10.138766936247912676459093800995 y[1] (numeric) = 10.138766936247912676459093800995 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.539 Order of pole = 603.2 TOP MAIN SOLVE Loop x[1] = -0.335 y[1] (analytic) = 10.138934164591177443820150569803 y[1] (numeric) = 10.138934164591177443820150569803 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.537 Order of pole = 603.1 TOP MAIN SOLVE Loop x[1] = -0.334 y[1] (analytic) = 10.139101494350056774122340780647 y[1] (numeric) = 10.139101494350056774122340780646 absolute error = 1e-30 relative error = 9.8628068824169773755052512628230e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.535 Order of pole = 603 TOP MAIN SOLVE Loop x[1] = -0.333 y[1] (analytic) = 10.139268925526287949201426580888 y[1] (numeric) = 10.139268925526287949201426580888 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.533 Order of pole = 602.9 TOP MAIN SOLVE Loop x[1] = -0.332 y[1] (analytic) = 10.139436458121609383356506263081 y[1] (numeric) = 10.139436458121609383356506263081 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.531 Order of pole = 602.8 TOP MAIN SOLVE Loop x[1] = -0.331 y[1] (analytic) = 10.139604092137760623518602442235 y[1] (numeric) = 10.139604092137760623518602442235 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.528 Order of pole = 602.8 TOP MAIN SOLVE Loop memory used=164.0MB, alloc=4.5MB, time=6.94 x[1] = -0.33 y[1] (analytic) = 10.139771827576482349419375326011 y[1] (numeric) = 10.139771827576482349419375326011 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.526 Order of pole = 602.7 TOP MAIN SOLVE Loop x[1] = -0.329 y[1] (analytic) = 10.139939664439516373759961124922 y[1] (numeric) = 10.139939664439516373759961124922 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.524 Order of pole = 602.6 TOP MAIN SOLVE Loop x[1] = -0.328 y[1] (analytic) = 10.140107602728605642379935649659 y[1] (numeric) = 10.140107602728605642379935649659 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.522 Order of pole = 602.5 TOP MAIN SOLVE Loop x[1] = -0.327 y[1] (analytic) = 10.14027564244549423442640314271 y[1] (numeric) = 10.14027564244549423442640314271 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.52 Order of pole = 602.4 TOP MAIN SOLVE Loop x[1] = -0.326 y[1] (analytic) = 10.140443783591927362523210391467 y[1] (numeric) = 10.140443783591927362523210391467 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.517 Order of pole = 602.4 TOP MAIN SOLVE Loop x[1] = -0.325 y[1] (analytic) = 10.140612026169651372940286170076 y[1] (numeric) = 10.140612026169651372940286170076 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.515 Order of pole = 602.3 TOP MAIN SOLVE Loop x[1] = -0.324 y[1] (analytic) = 10.140780370180413745763106057304 y[1] (numeric) = 10.140780370180413745763106057304 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.513 Order of pole = 602.2 TOP MAIN SOLVE Loop x[1] = -0.323 y[1] (analytic) = 10.14094881562596309506228267776 y[1] (numeric) = 10.14094881562596309506228267776 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.511 Order of pole = 602.1 TOP MAIN SOLVE Loop x[1] = -0.322 y[1] (analytic) = 10.141117362508049169063281413833 y[1] (numeric) = 10.141117362508049169063281413833 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.509 Order of pole = 602 TOP MAIN SOLVE Loop x[1] = -0.321 y[1] (analytic) = 10.141286010828422850316261635756 y[1] (numeric) = 10.141286010828422850316261635756 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.507 Order of pole = 601.9 TOP MAIN SOLVE Loop x[1] = -0.32 y[1] (analytic) = 10.141454760588836155866043497248 y[1] (numeric) = 10.141454760588836155866043497249 absolute error = 1e-30 relative error = 9.8605182748154141866142703617624e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.505 Order of pole = 601.9 TOP MAIN SOLVE Loop memory used=167.8MB, alloc=4.5MB, time=7.11 x[1] = -0.319 y[1] (analytic) = 10.141623611791042237422200344232 y[1] (numeric) = 10.141623611791042237422200344233 absolute error = 1e-30 relative error = 9.8603541038277291503727191491581e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.503 Order of pole = 601.8 TOP MAIN SOLVE Loop x[1] = -0.318 y[1] (analytic) = 10.141792564436795381529276784143 y[1] (numeric) = 10.141792564436795381529276784145 absolute error = 2e-30 relative error = 1.9720379679359632900696342044839e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.5 Order of pole = 601.7 TOP MAIN SOLVE Loop x[1] = -0.317 y[1] (analytic) = 10.141961618527851009737132463431 y[1] (numeric) = 10.141961618527851009737132463432 absolute error = 1e-30 relative error = 9.8600254823795543566503069010681e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.498 Order of pole = 601.6 TOP MAIN SOLVE Loop x[1] = -0.316 y[1] (analytic) = 10.14213077406596567877141160084 y[1] (numeric) = 10.142130774065965678771411600841 absolute error = 1e-30 relative error = 9.8598610319348252149086939411005e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.496 Order of pole = 601.6 TOP MAIN SOLVE Loop x[1] = -0.315 y[1] (analytic) = 10.142300031052897080704138324156 y[1] (numeric) = 10.142300031052897080704138324157 absolute error = 1e-30 relative error = 9.8596964883535154452321737733077e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.494 Order of pole = 601.5 TOP MAIN SOLVE Loop x[1] = -0.314 y[1] (analytic) = 10.142469389490404043124437858092 y[1] (numeric) = 10.142469389490404043124437858092 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.492 Order of pole = 601.4 TOP MAIN SOLVE Loop x[1] = -0.313 y[1] (analytic) = 10.142638849380246529309383611068 y[1] (numeric) = 10.142638849380246529309383611068 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.49 Order of pole = 601.3 TOP MAIN SOLVE Loop x[1] = -0.312 y[1] (analytic) = 10.142808410724185638394970208668 y[1] (numeric) = 10.142808410724185638394970208668 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.488 Order of pole = 601.2 TOP MAIN SOLVE Loop x[1] = -0.311 y[1] (analytic) = 10.142978073523983605547212521588 y[1] (numeric) = 10.142978073523983605547212521588 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.486 Order of pole = 601.2 TOP MAIN SOLVE Loop x[1] = -0.31 y[1] (analytic) = 10.143147837781403802133370735944 y[1] (numeric) = 10.143147837781403802133370735944 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.484 Order of pole = 601.1 TOP MAIN SOLVE Loop x[1] = -0.309 y[1] (analytic) = 10.143317703498210735893301513853 y[1] (numeric) = 10.143317703498210735893301513853 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.482 Order of pole = 601 TOP MAIN SOLVE Loop x[1] = -0.308 y[1] (analytic) = 10.143487670676170051110935292227 y[1] (numeric) = 10.143487670676170051110935292227 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.48 Order of pole = 600.9 memory used=171.6MB, alloc=4.5MB, time=7.27 TOP MAIN SOLVE Loop x[1] = -0.307 y[1] (analytic) = 10.143657739317048528785879767769 y[1] (numeric) = 10.14365773931704852878587976777 absolute error = 1e-30 relative error = 9.8583767877338488483904588794525e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.478 Order of pole = 600.9 TOP MAIN SOLVE Loop x[1] = -0.306 y[1] (analytic) = 10.143827909422614086805149616215 y[1] (numeric) = 10.143827909422614086805149616215 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.476 Order of pole = 600.8 TOP MAIN SOLVE Loop x[1] = -0.305 y[1] (analytic) = 10.143998180994635780115022493873 y[1] (numeric) = 10.143998180994635780115022493873 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.474 Order of pole = 600.7 TOP MAIN SOLVE Loop x[1] = -0.304 y[1] (analytic) = 10.144168554034883800893021369602 y[1] (numeric) = 10.144168554034883800893021369602 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.472 Order of pole = 600.7 TOP MAIN SOLVE Loop x[1] = -0.303 y[1] (analytic) = 10.144339028545129478720023235361 y[1] (numeric) = 10.144339028545129478720023235361 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.47 Order of pole = 600.6 TOP MAIN SOLVE Loop x[1] = -0.302 y[1] (analytic) = 10.144509604527145280752494243542 y[1] (numeric) = 10.144509604527145280752494243542 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.468 Order of pole = 600.5 TOP MAIN SOLVE Loop x[1] = -0.301 y[1] (analytic) = 10.144680281982704811894851319326 y[1] (numeric) = 10.144680281982704811894851319326 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.466 Order of pole = 600.4 TOP MAIN SOLVE Loop x[1] = -0.3 y[1] (analytic) = 10.144851060913582814971950296336 y[1] (numeric) = 10.144851060913582814971950296335 absolute error = 1e-30 relative error = 9.8572171636194150095162413618859e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.464 Order of pole = 600.4 TOP MAIN SOLVE Loop x[1] = -0.299 y[1] (analytic) = 10.145021941321555170901700623917 y[1] (numeric) = 10.145021941321555170901700623917 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.462 Order of pole = 600.3 TOP MAIN SOLVE Loop x[1] = -0.298 y[1] (analytic) = 10.145192923208398898867806694416 y[1] (numeric) = 10.145192923208398898867806694415 absolute error = 1e-30 relative error = 9.8568850052360740127684023493123e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.46 Order of pole = 600.2 TOP MAIN SOLVE Loop x[1] = -0.297 y[1] (analytic) = 10.145364006575892156492635838844 y[1] (numeric) = 10.145364006575892156492635838844 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.458 Order of pole = 600.2 TOP MAIN SOLVE Loop memory used=175.4MB, alloc=4.5MB, time=7.43 x[1] = -0.296 y[1] (analytic) = 10.145535191425814240010213039409 y[1] (numeric) = 10.145535191425814240010213039408 absolute error = 1e-30 relative error = 9.8565524748770189938015915265900e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.456 Order of pole = 600.1 TOP MAIN SOLVE Loop x[1] = -0.295 y[1] (analytic) = 10.145706477759945584439342407366 y[1] (numeric) = 10.145706477759945584439342407366 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.454 Order of pole = 600 TOP MAIN SOLVE Loop x[1] = -0.294 y[1] (analytic) = 10.145877865580067763756855474765 y[1] (numeric) = 10.145877865580067763756855474764 absolute error = 1e-30 relative error = 9.8562195726059752596304195809182e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.452 Order of pole = 599.9 TOP MAIN SOLVE Loop x[1] = -0.293 y[1] (analytic) = 10.146049354887963491070986348625 y[1] (numeric) = 10.146049354887963491070986348625 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.45 Order of pole = 599.9 TOP MAIN SOLVE Loop x[1] = -0.292 y[1] (analytic) = 10.146220945685416618794873776196 y[1] (numeric) = 10.146220945685416618794873776196 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.448 Order of pole = 599.8 TOP MAIN SOLVE Loop x[1] = -0.291 y[1] (analytic) = 10.146392637974212138820190169933 y[1] (numeric) = 10.146392637974212138820190169932 absolute error = 1e-30 relative error = 9.8557195220039894859488267888129e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.446 Order of pole = 599.7 TOP MAIN SOLVE Loop x[1] = -0.29 y[1] (analytic) = 10.146564431756136182690897640903 y[1] (numeric) = 10.146564431756136182690897640903 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.444 Order of pole = 599.7 TOP MAIN SOLVE Loop x[1] = -0.289 y[1] (analytic) = 10.146736327032976021777131089371 y[1] (numeric) = 10.146736327032976021777131089371 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.442 Order of pole = 599.6 TOP MAIN SOLVE Loop x[1] = -0.288 y[1] (analytic) = 10.146908323806520067449208401334 y[1] (numeric) = 10.146908323806520067449208401334 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.44 Order of pole = 599.5 TOP MAIN SOLVE Loop x[1] = -0.287 y[1] (analytic) = 10.147080422078557871251767799846 y[1] (numeric) = 10.147080422078557871251767799846 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.438 Order of pole = 599.5 TOP MAIN SOLVE Loop x[1] = -0.286 y[1] (analytic) = 10.147252621850880125078032400006 y[1] (numeric) = 10.147252621850880125078032400006 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.436 Order of pole = 599.4 TOP MAIN SOLVE Loop memory used=179.2MB, alloc=4.5MB, time=7.60 x[1] = -0.285 y[1] (analytic) = 10.147424923125278661344202016504 y[1] (numeric) = 10.147424923125278661344202016504 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.434 Order of pole = 599.3 TOP MAIN SOLVE Loop x[1] = -0.284 y[1] (analytic) = 10.147597325903546453163972272702 y[1] (numeric) = 10.147597325903546453163972272702 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.432 Order of pole = 599.3 TOP MAIN SOLVE Loop x[1] = -0.283 y[1] (analytic) = 10.147769830187477614523181060234 y[1] (numeric) = 10.147769830187477614523181060234 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.43 Order of pole = 599.2 TOP MAIN SOLVE Loop x[1] = -0.282 y[1] (analytic) = 10.147942435978867400454582398165 y[1] (numeric) = 10.147942435978867400454582398165 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.428 Order of pole = 599.1 TOP MAIN SOLVE Loop x[1] = -0.281 y[1] (analytic) = 10.148115143279512207212747740795 y[1] (numeric) = 10.148115143279512207212747740795 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.426 Order of pole = 599.1 TOP MAIN SOLVE Loop x[1] = -0.28 y[1] (analytic) = 10.148287952091209572449094783234 y[1] (numeric) = 10.148287952091209572449094783234 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.425 Order of pole = 599 TOP MAIN SOLVE Loop x[1] = -0.279 y[1] (analytic) = 10.148460862415758175387043813905 y[1] (numeric) = 10.148460862415758175387043813905 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.423 Order of pole = 598.9 TOP MAIN SOLVE Loop x[1] = -0.278 y[1] (analytic) = 10.148633874254957836997301663199 y[1] (numeric) = 10.148633874254957836997301663199 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.421 Order of pole = 598.9 TOP MAIN SOLVE Loop x[1] = -0.277 y[1] (analytic) = 10.148806987610609520173273297516 y[1] (numeric) = 10.148806987610609520173273297516 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.419 Order of pole = 598.8 TOP MAIN SOLVE Loop x[1] = -0.276 y[1] (analytic) = 10.148980202484515329906601108004 y[1] (numeric) = 10.148980202484515329906601108003 absolute error = 1e-30 relative error = 9.8532067266738343660223139659505e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.417 Order of pole = 598.8 TOP MAIN SOLVE Loop x[1] = -0.275 y[1] (analytic) = 10.149153518878478513462831943315 y[1] (numeric) = 10.149153518878478513462831943315 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.415 Order of pole = 598.7 TOP MAIN SOLVE Loop x[1] = -0.274 y[1] (analytic) = 10.149326936794303460557211935778 y[1] (numeric) = 10.149326936794303460557211935778 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.413 Order of pole = 598.6 TOP MAIN SOLVE Loop memory used=183.1MB, alloc=4.5MB, time=7.76 x[1] = -0.273 y[1] (analytic) = 10.149500456233795703530609170386 y[1] (numeric) = 10.149500456233795703530609170386 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.411 Order of pole = 598.6 TOP MAIN SOLVE Loop x[1] = -0.272 y[1] (analytic) = 10.149674077198761917525564246082 y[1] (numeric) = 10.149674077198761917525564246081 absolute error = 1e-30 relative error = 9.8525331197235144109977340137035e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.409 Order of pole = 598.5 TOP MAIN SOLVE Loop x[1] = -0.271 y[1] (analytic) = 10.14984779969100992066246877884 y[1] (numeric) = 10.14984779969100992066246877884 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.408 Order of pole = 598.4 TOP MAIN SOLVE Loop x[1] = -0.27 y[1] (analytic) = 10.1500216237123486742158718961 y[1] (numeric) = 10.1500216237123486742158718961 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.406 Order of pole = 598.4 TOP MAIN SOLVE Loop x[1] = -0.269 y[1] (analytic) = 10.150195549264588282790914772132 y[1] (numeric) = 10.150195549264588282790914772131 absolute error = 1e-30 relative error = 9.8520269402342003204172556988343e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.404 Order of pole = 598.3 TOP MAIN SOLVE Loop x[1] = -0.268 y[1] (analytic) = 10.150369576349539994499893253982 y[1] (numeric) = 10.150369576349539994499893253981 absolute error = 1e-30 relative error = 9.8518580282043103411634571762797e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.402 Order of pole = 598.3 TOP MAIN SOLVE Loop x[1] = -0.267 y[1] (analytic) = 10.150543704969016201138948627674 y[1] (numeric) = 10.150543704969016201138948627673 absolute error = 1e-30 relative error = 9.8516890234211589704340186190855e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.4 Order of pole = 598.2 TOP MAIN SOLVE Loop x[1] = -0.266 y[1] (analytic) = 10.150717935124830438364886574378 y[1] (numeric) = 10.150717935124830438364886574377 absolute error = 1e-30 relative error = 9.8515199258928309930513681452130e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.398 Order of pole = 598.1 TOP MAIN SOLVE Loop x[1] = -0.265 y[1] (analytic) = 10.15089226681879738587212436632 y[1] (numeric) = 10.150892266818797385872124366319 absolute error = 1e-30 relative error = 9.8513507356274152156742871168397e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.397 Order of pole = 598.1 TOP MAIN SOLVE Loop x[1] = -0.264 y[1] (analytic) = 10.151066700052732867569766352231 y[1] (numeric) = 10.15106670005273286756976635223 absolute error = 1e-30 relative error = 9.8511814526330044657329032479183e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.395 Order of pole = 598 TOP MAIN SOLVE Loop x[1] = -0.263 y[1] (analytic) = 10.151241234828453851758807782194 y[1] (numeric) = 10.151241234828453851758807782193 absolute error = 1e-30 relative error = 9.8510120769176955903632111686319e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.393 Order of pole = 598 TOP MAIN SOLVE Loop memory used=186.9MB, alloc=4.5MB, time=7.93 x[1] = -0.262 y[1] (analytic) = 10.151415871147778451309467021767 y[1] (numeric) = 10.151415871147778451309467021766 absolute error = 1e-30 relative error = 9.8508426084895894553411206708230e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.391 Order of pole = 597.9 TOP MAIN SOLVE Loop x[1] = -0.261 y[1] (analytic) = 10.151590609012525923838646205332 y[1] (numeric) = 10.151590609012525923838646205331 absolute error = 1e-30 relative error = 9.8506730473567909440160328585189e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.389 Order of pole = 597.8 TOP MAIN SOLVE Loop x[1] = -0.26 y[1] (analytic) = 10.151765448424516671887520378636 y[1] (numeric) = 10.151765448424516671887520378635 absolute error = 1e-30 relative error = 9.8505033935274089562439444277694e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.387 Order of pole = 597.8 TOP MAIN SOLVE Loop x[1] = -0.259 y[1] (analytic) = 10.151940389385572243099255180551 y[1] (numeric) = 10.15194038938557224309925518055 absolute error = 1e-30 relative error = 9.8503336470095564073200803000670e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.386 Order of pole = 597.7 TOP MAIN SOLVE Loop x[1] = -0.258 y[1] (analytic) = 10.152115431897515330396853114116 y[1] (numeric) = 10.152115431897515330396853114115 absolute error = 1e-30 relative error = 9.8501638078113502269110548336973e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.384 Order of pole = 597.7 TOP MAIN SOLVE Loop x[1] = -0.257 y[1] (analytic) = 10.152290575962169772161128456964 y[1] (numeric) = 10.152290575962169772161128456963 absolute error = 1e-30 relative error = 9.8499938759409113579865618374382e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.382 Order of pole = 597.6 TOP MAIN SOLVE Loop x[1] = -0.256 y[1] (analytic) = 10.152465821581360552408810861289 y[1] (numeric) = 10.152465821581360552408810861289 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.38 Order of pole = 597.6 TOP MAIN SOLVE Loop x[1] = -0.255 y[1] (analytic) = 10.152641168756913800970777693545 y[1] (numeric) = 10.152641168756913800970777693545 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.378 Order of pole = 597.5 TOP MAIN SOLVE Loop x[1] = -0.254 y[1] (analytic) = 10.152816617490656793670415164107 y[1] (numeric) = 10.152816617490656793670415164106 absolute error = 1e-30 relative error = 9.8494835243774682269157123499493e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.377 Order of pole = 597.4 TOP MAIN SOLVE Loop x[1] = -0.253 y[1] (analytic) = 10.152992167784417952502108297179 y[1] (numeric) = 10.152992167784417952502108297179 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.375 Order of pole = 597.4 TOP MAIN SOLVE Loop x[1] = -0.252 y[1] (analytic) = 10.153167819640026845809859791279 y[1] (numeric) = 10.153167819640026845809859791279 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.373 Order of pole = 597.3 TOP MAIN SOLVE Loop memory used=190.7MB, alloc=4.5MB, time=8.10 x[1] = -0.251 y[1] (analytic) = 10.153343573059314188466037820643 y[1] (numeric) = 10.153343573059314188466037820643 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.371 Order of pole = 597.3 TOP MAIN SOLVE Loop x[1] = -0.25 y[1] (analytic) = 10.153519428044111842050252827982 y[1] (numeric) = 10.153519428044111842050252827982 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.37 Order of pole = 597.2 TOP MAIN SOLVE Loop x[1] = -0.249 y[1] (analytic) = 10.153695384596252815028363359032 y[1] (numeric) = 10.153695384596252815028363359032 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.368 Order of pole = 597.2 TOP MAIN SOLVE Loop x[1] = -0.248 y[1] (analytic) = 10.153871442717571262931610989391 y[1] (numeric) = 10.153871442717571262931610989391 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.366 Order of pole = 597.1 TOP MAIN SOLVE Loop x[1] = -0.247 y[1] (analytic) = 10.154047602409902488535884394188 y[1] (numeric) = 10.154047602409902488535884394188 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.364 Order of pole = 597.1 TOP MAIN SOLVE Loop x[1] = -0.246 y[1] (analytic) = 10.154223863675082942041112611158 y[1] (numeric) = 10.154223863675082942041112611158 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.363 Order of pole = 597 TOP MAIN SOLVE Loop x[1] = -0.245 y[1] (analytic) = 10.154400226514950221250787547761 y[1] (numeric) = 10.154400226514950221250787547761 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.361 Order of pole = 596.9 TOP MAIN SOLVE Loop x[1] = -0.244 y[1] (analytic) = 10.154576690931343071751615782996 y[1] (numeric) = 10.154576690931343071751615782996 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.359 Order of pole = 596.9 TOP MAIN SOLVE Loop x[1] = -0.243 y[1] (analytic) = 10.154753256926101387093299714639 y[1] (numeric) = 10.154753256926101387093299714639 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.357 Order of pole = 596.8 TOP MAIN SOLVE Loop x[1] = -0.242 y[1] (analytic) = 10.154929924501066208968448102653 y[1] (numeric) = 10.154929924501066208968448102653 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.356 Order of pole = 596.8 TOP MAIN SOLVE Loop x[1] = -0.241 y[1] (analytic) = 10.155106693658079727392616059567 y[1] (numeric) = 10.155106693658079727392616059567 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.354 Order of pole = 596.7 TOP MAIN SOLVE Loop x[1] = -0.24 y[1] (analytic) = 10.155283564398985280884474538669 y[1] (numeric) = 10.15528356439898528088447453867 absolute error = 1e-30 relative error = 9.8470908631804656603145738678209e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.352 Order of pole = 596.7 memory used=194.5MB, alloc=4.5MB, time=8.27 TOP MAIN SOLVE Loop x[1] = -0.239 y[1] (analytic) = 10.155460536725627356646109370908 y[1] (numeric) = 10.155460536725627356646109370908 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.35 Order of pole = 596.6 TOP MAIN SOLVE Loop x[1] = -0.238 y[1] (analytic) = 10.155637610639851590743449901412 y[1] (numeric) = 10.155637610639851590743449901413 absolute error = 1e-30 relative error = 9.8467475735085374813252475736229e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.349 Order of pole = 596.6 TOP MAIN SOLVE Loop x[1] = -0.237 y[1] (analytic) = 10.155814786143504768286827276628 y[1] (numeric) = 10.155814786143504768286827276628 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.347 Order of pole = 596.5 TOP MAIN SOLVE Loop x[1] = -0.236 y[1] (analytic) = 10.155992063238434823611662433064 y[1] (numeric) = 10.155992063238434823611662433065 absolute error = 1e-30 relative error = 9.8464039138007225537552827138102e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.345 Order of pole = 596.5 TOP MAIN SOLVE Loop x[1] = -0.235 y[1] (analytic) = 10.156169441926490840459283838732 y[1] (numeric) = 10.156169441926490840459283838733 absolute error = 1e-30 relative error = 9.8462319452038724892056490258968e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.344 Order of pole = 596.4 TOP MAIN SOLVE Loop x[1] = -0.234 y[1] (analytic) = 10.156346922209523052157875038361 y[1] (numeric) = 10.156346922209523052157875038361 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.342 Order of pole = 596.4 TOP MAIN SOLVE Loop x[1] = -0.233 y[1] (analytic) = 10.156524504089382841803552053552 y[1] (numeric) = 10.156524504089382841803552053553 absolute error = 1e-30 relative error = 9.8458877305653519225303828405021e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.34 Order of pole = 596.3 TOP MAIN SOLVE Loop x[1] = -0.232 y[1] (analytic) = 10.156702187567922742441570689064 y[1] (numeric) = 10.156702187567922742441570689065 absolute error = 1e-30 relative error = 9.8457154845401192879064710804411e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.338 Order of pole = 596.3 TOP MAIN SOLVE Loop x[1] = -0.231 y[1] (analytic) = 10.156879972646996437247663796449 y[1] (numeric) = 10.15687997264699643724766379645 absolute error = 1e-30 relative error = 9.8455431460552036404171192312369e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.337 Order of pole = 596.2 TOP MAIN SOLVE Loop x[1] = -0.23 y[1] (analytic) = 10.157057859328458759709508546343 y[1] (numeric) = 10.157057859328458759709508546344 absolute error = 1e-30 relative error = 9.8453707151188338766783971534573e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.335 Order of pole = 596.2 TOP MAIN SOLVE Loop x[1] = -0.229 y[1] (analytic) = 10.157235847614165693808323760709 y[1] (numeric) = 10.15723584761416569380832376071 absolute error = 1e-30 relative error = 9.8451981917392428765063816083095e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.333 Order of pole = 596.1 TOP MAIN SOLVE Loop memory used=198.3MB, alloc=4.5MB, time=8.43 x[1] = -0.228 y[1] (analytic) = 10.157413937505974374200597356423 y[1] (numeric) = 10.157413937505974374200597356424 absolute error = 1e-30 relative error = 9.8450255759246675018352794718002e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.332 Order of pole = 596.1 TOP MAIN SOLVE Loop x[1] = -0.227 y[1] (analytic) = 10.157592129005743086399943951595 y[1] (numeric) = 10.157592129005743086399943951596 absolute error = 1e-30 relative error = 9.8448528676833485956350865158345e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.33 Order of pole = 596 TOP MAIN SOLVE Loop x[1] = -0.226 y[1] (analytic) = 10.157770422115331266959092686093 y[1] (numeric) = 10.157770422115331266959092686095 absolute error = 2e-30 relative error = 1.9689360134047061961657563965563e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.328 Order of pole = 596 TOP MAIN SOLVE Loop x[1] = -0.225 y[1] (analytic) = 10.157948816836599503652005307765 y[1] (numeric) = 10.157948816836599503652005307766 absolute error = 1e-30 relative error = 9.8445071739534634592090591801175e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.327 Order of pole = 595.9 TOP MAIN SOLVE Loop x[1] = -0.224 y[1] (analytic) = 10.158127313171409535656124575892 y[1] (numeric) = 10.158127313171409535656124575894 absolute error = 2e-30 relative error = 1.9688668376962797620709184643670e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.325 Order of pole = 595.9 TOP MAIN SOLVE Loop x[1] = -0.223 y[1] (analytic) = 10.158305911121624253734753033485 y[1] (numeric) = 10.158305911121624253734753033487 absolute error = 2e-30 relative error = 1.9688322221231187581091679686655e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.323 Order of pole = 595.8 TOP MAIN SOLVE Loop x[1] = -0.222 y[1] (analytic) = 10.158484610689107700419562200022 y[1] (numeric) = 10.158484610689107700419562200024 absolute error = 2e-30 relative error = 1.9687975880728618263360768833203e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.322 Order of pole = 595.8 TOP MAIN SOLVE Loop x[1] = -0.221 y[1] (analytic) = 10.158663411875725070193232236332 y[1] (numeric) = 10.158663411875725070193232236335 absolute error = 3e-30 relative error = 2.9531444033207428620563429677952e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.32 Order of pole = 595.7 TOP MAIN SOLVE Loop x[1] = -0.22 y[1] (analytic) = 10.158842314683342709672222133329 y[1] (numeric) = 10.158842314683342709672222133331 absolute error = 2e-30 relative error = 1.9687282645476727391888230795919e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.318 Order of pole = 595.7 TOP MAIN SOLVE Loop x[1] = -0.219 y[1] (analytic) = 10.159021319113828117789670476352 y[1] (numeric) = 10.159021319113828117789670476354 absolute error = 2e-30 relative error = 1.9686935750760488502371333624284e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.317 Order of pole = 595.6 TOP MAIN SOLVE Loop x[1] = -0.218 y[1] (analytic) = 10.159200425169049945978426836945 y[1] (numeric) = 10.159200425169049945978426836947 absolute error = 2e-30 relative error = 1.9686588671339455658845371707548e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.315 Order of pole = 595.6 TOP MAIN SOLVE Loop memory used=202.1MB, alloc=4.5MB, time=8.59 x[1] = -0.217 y[1] (analytic) = 10.159379632850877998354213843901 y[1] (numeric) = 10.159379632850877998354213843903 absolute error = 2e-30 relative error = 1.9686241407230190048704554003163e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.313 Order of pole = 595.5 TOP MAIN SOLVE Loop x[1] = -0.216 y[1] (analytic) = 10.15955894216118323189891998548 y[1] (numeric) = 10.159558942161183231898919985482 absolute error = 2e-30 relative error = 1.9685893958449260797541984956358e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.312 Order of pole = 595.5 TOP MAIN SOLVE Loop x[1] = -0.215 y[1] (analytic) = 10.159738353101837756644023194742 y[1] (numeric) = 10.159738353101837756644023194743 absolute error = 1e-30 relative error = 9.8427731625066224834869355236342e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.31 Order of pole = 595.5 TOP MAIN SOLVE Loop x[1] = -0.214 y[1] (analytic) = 10.159917865674714835854145269969 y[1] (numeric) = 10.159917865674714835854145269971 absolute error = 2e-30 relative error = 1.9685198506938727552462804372408e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.308 Order of pole = 595.4 TOP MAIN SOLVE Loop x[1] = -0.213 y[1] (analytic) = 10.160097479881688886210737182224 y[1] (numeric) = 10.160097479881688886210737182226 absolute error = 2e-30 relative error = 1.9684850504242301481140123715269e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.307 Order of pole = 595.4 TOP MAIN SOLVE Loop x[1] = -0.212 y[1] (analytic) = 10.160277195724635477995895322095 y[1] (numeric) = 10.160277195724635477995895322097 absolute error = 2e-30 relative error = 1.9684502316940567609627353561030e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.305 Order of pole = 595.3 TOP MAIN SOLVE Loop x[1] = -0.211 y[1] (analytic) = 10.160457013205431335276308737765 y[1] (numeric) = 10.160457013205431335276308737766 absolute error = 1e-30 relative error = 9.8420769725250673609283607552049e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.304 Order of pole = 595.3 TOP MAIN SOLVE Loop x[1] = -0.21 y[1] (analytic) = 10.160636932325954336087337416551 y[1] (numeric) = 10.160636932325954336087337416552 absolute error = 1e-30 relative error = 9.8419026942938097634453772739510e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.302 Order of pole = 595.2 TOP MAIN SOLVE Loop x[1] = -0.209 y[1] (analytic) = 10.160816953088083512617221662139 y[1] (numeric) = 10.16081695308808351261722166214 absolute error = 1e-30 relative error = 9.8417283237848233283704773098485e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.3 Order of pole = 595.2 TOP MAIN SOLVE Loop x[1] = -0.208 y[1] (analytic) = 10.160997075493699051391422619741 y[1] (numeric) = 10.160997075493699051391422619743 absolute error = 2e-30 relative error = 1.9683107722012848664185553976797e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.299 Order of pole = 595.1 TOP MAIN SOLVE Loop x[1] = -0.207 y[1] (analytic) = 10.161177299544682293457094001495 y[1] (numeric) = 10.161177299544682293457094001497 absolute error = 2e-30 relative error = 1.9682758611933866020586350738880e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.297 Order of pole = 595.1 TOP MAIN SOLVE Loop memory used=206.0MB, alloc=4.5MB, time=8.76 x[1] = -0.206 y[1] (analytic) = 10.161357625242915734567685064424 y[1] (numeric) = 10.161357625242915734567685064426 absolute error = 2e-30 relative error = 1.9682409317349347113704625134687e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.295 Order of pole = 595.1 TOP MAIN SOLVE Loop x[1] = -0.205 y[1] (analytic) = 10.161538052590283025367674893359 y[1] (numeric) = 10.161538052590283025367674893361 absolute error = 2e-30 relative error = 1.9682059838275948245516136874746e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.294 Order of pole = 595 TOP MAIN SOLVE Loop x[1] = -0.204 y[1] (analytic) = 10.16171858158866897157743804124 y[1] (numeric) = 10.161718581588668971577438041242 absolute error = 2e-30 relative error = 1.9681710174730333630025204112467e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.292 Order of pole = 595 TOP MAIN SOLVE Loop x[1] = -0.203 y[1] (analytic) = 10.161899212239959534178241579281 y[1] (numeric) = 10.161899212239959534178241579283 absolute error = 2e-30 relative error = 1.9681360326729175391077864449687e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.291 Order of pole = 594.9 TOP MAIN SOLVE Loop x[1] = -0.202 y[1] (analytic) = 10.162079944546041829597373609502 y[1] (numeric) = 10.162079944546041829597373609505 absolute error = 3e-30 relative error = 2.9521515441433730340261177664427e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.289 Order of pole = 594.9 TOP MAIN SOLVE Loop x[1] = -0.201 y[1] (analytic) = 10.162260778508804129893403292213 y[1] (numeric) = 10.162260778508804129893403292215 absolute error = 2e-30 relative error = 1.9680660077426956074279256066873e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.287 Order of pole = 594.8 TOP MAIN SOLVE Loop x[1] = -0.2 y[1] (analytic) = 10.162441714130135862941572441027 y[1] (numeric) = 10.162441714130135862941572441029 absolute error = 2e-30 relative error = 1.9680309676159278773634266591135e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.286 Order of pole = 594.8 TOP MAIN SOLVE Loop x[1] = -0.199 y[1] (analytic) = 10.162622751411927612619318738093 y[1] (numeric) = 10.162622751411927612619318738095 absolute error = 2e-30 relative error = 1.9679959090502825399565332327689e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.284 Order of pole = 594.8 TOP MAIN SOLVE Loop x[1] = -0.198 y[1] (analytic) = 10.162803890356071118991930622206 y[1] (numeric) = 10.162803890356071118991930622209 absolute error = 3e-30 relative error = 2.9519412480711461388438610057530e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.283 Order of pole = 594.7 TOP MAIN SOLVE Loop x[1] = -0.197 y[1] (analytic) = 10.162985130964459278498333902572 y[1] (numeric) = 10.162985130964459278498333902575 absolute error = 3e-30 relative error = 2.9518886049135667333105315689409e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.281 Order of pole = 594.7 TOP MAIN SOLVE Loop x[1] = -0.196 y[1] (analytic) = 10.163166473238986144137010150986 y[1] (numeric) = 10.163166473238986144137010150988 absolute error = 2e-30 relative error = 1.9678906227367964720328313068351e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.28 Order of pole = 594.6 TOP MAIN SOLVE Loop x[1] = -0.195 memory used=209.8MB, alloc=4.5MB, time=8.93 y[1] (analytic) = 10.163347917181546925652046925272 y[1] (numeric) = 10.163347917181546925652046925274 absolute error = 2e-30 relative error = 1.9678554904323602410810299879084e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.278 Order of pole = 594.6 TOP MAIN SOLVE Loop x[1] = -0.194 y[1] (analytic) = 10.16352946279403798971931987686 y[1] (numeric) = 10.163529462794037989719319876862 absolute error = 2e-30 relative error = 1.9678203396974101174045358729767e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.276 Order of pole = 594.5 TOP MAIN SOLVE Loop x[1] = -0.193 y[1] (analytic) = 10.163711110078356860132806795413 y[1] (numeric) = 10.163711110078356860132806795415 absolute error = 2e-30 relative error = 1.9677851705336212111818953180481e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.275 Order of pole = 594.5 TOP MAIN SOLVE Loop x[1] = -0.192 y[1] (analytic) = 10.163892859036402217991033643476 y[1] (numeric) = 10.163892859036402217991033643479 absolute error = 3e-30 relative error = 2.9516249744140041317463874223617e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.273 Order of pole = 594.5 TOP MAIN SOLVE Loop x[1] = -0.191 y[1] (analytic) = 10.164074709670073901883652634165 y[1] (numeric) = 10.164074709670073901883652634168 absolute error = 3e-30 relative error = 2.9515721653893471516833946612182e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.272 Order of pole = 594.4 TOP MAIN SOLVE Loop x[1] = -0.19 y[1] (analytic) = 10.164256661981272908078152404935 y[1] (numeric) = 10.164256661981272908078152404938 absolute error = 3e-30 relative error = 2.9515193287289770894392451601462e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.27 Order of pole = 594.4 TOP MAIN SOLVE Loop x[1] = -0.189 y[1] (analytic) = 10.16443871597190139070670034055 y[1] (numeric) = 10.164438715971901390706700340553 absolute error = 3e-30 relative error = 2.9514664644354113397387959752333e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.269 Order of pole = 594.3 TOP MAIN SOLVE Loop x[1] = -0.188 y[1] (analytic) = 10.164620871643862661953117098383 y[1] (numeric) = 10.164620871643862661953117098385 absolute error = 2e-30 relative error = 1.9676090483407789858975318175859e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.267 Order of pole = 594.3 TOP MAIN SOLVE Loop x[1] = -0.187 y[1] (analytic) = 10.164803128999061192239983389248 y[1] (numeric) = 10.16480312899906119223998338925 absolute error = 2e-30 relative error = 1.9675737686391788428234499836733e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.265 Order of pole = 594.3 TOP MAIN SOLVE Loop x[1] = -0.186 y[1] (analytic) = 10.164985488039402610415879067002 y[1] (numeric) = 10.164985488039402610415879067004 absolute error = 2e-30 relative error = 1.9675384705204877561717800516867e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.264 Order of pole = 594.2 TOP MAIN SOLVE Loop x[1] = -0.185 y[1] (analytic) = 10.165167948766793703942754580192 y[1] (numeric) = 10.165167948766793703942754580194 absolute error = 2e-30 relative error = 1.9675031539863871385429003818445e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.262 Order of pole = 594.2 TOP MAIN SOLVE Loop x[1] = -0.184 y[1] (analytic) = 10.165350511183142419083434839076 y[1] (numeric) = 10.165350511183142419083434839078 absolute error = 2e-30 relative error = 1.9674678190385591893489867931342e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.261 Order of pole = 594.1 TOP MAIN SOLVE Loop memory used=213.6MB, alloc=4.5MB, time=9.09 x[1] = -0.183 y[1] (analytic) = 10.165533175290357861089255551397 y[1] (numeric) = 10.165533175290357861089255551399 absolute error = 2e-30 relative error = 1.9674324656786868945935023511875e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.259 Order of pole = 594.1 TOP MAIN SOLVE Loop x[1] = -0.182 y[1] (analytic) = 10.165715941090350294387832080319 y[1] (numeric) = 10.165715941090350294387832080321 absolute error = 2e-30 relative error = 1.9673970939084540266505963214247e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.258 Order of pole = 594.1 TOP MAIN SOLVE Loop x[1] = -0.181 y[1] (analytic) = 10.165898808585031142770960877994 y[1] (numeric) = 10.165898808585031142770960877996 absolute error = 2e-30 relative error = 1.9673617037295451440444123333635e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.256 Order of pole = 594 TOP MAIN SOLVE Loop x[1] = -0.18 y[1] (analytic) = 10.166081777776312989582653548267 y[1] (numeric) = 10.166081777776312989582653548269 absolute error = 2e-30 relative error = 1.9673262951436455912283058019958e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.255 Order of pole = 594 TOP MAIN SOLVE Loop x[1] = -0.179 y[1] (analytic) = 10.166264848666109577907303592067 y[1] (numeric) = 10.166264848666109577907303592069 absolute error = 2e-30 relative error = 1.9672908681524414983639706521535e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.253 Order of pole = 593.9 TOP MAIN SOLVE Loop x[1] = -0.178 y[1] (analytic) = 10.166448021256335810757985889096 y[1] (numeric) = 10.166448021256335810757985889098 absolute error = 2e-30 relative error = 1.9672554227576197811004753917919e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.252 Order of pole = 593.9 TOP MAIN SOLVE Loop x[1] = -0.177 y[1] (analytic) = 10.166631295548907751264888969446 y[1] (numeric) = 10.166631295548907751264888969448 absolute error = 2e-30 relative error = 1.9672199589608681403532085801355e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.25 Order of pole = 593.9 TOP MAIN SOLVE Loop x[1] = -0.176 y[1] (analytic) = 10.166814671545742622863880128842 y[1] (numeric) = 10.166814671545742622863880128844 absolute error = 2e-30 relative error = 1.9671844767638750620827337366437e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.249 Order of pole = 593.8 TOP MAIN SOLVE Loop x[1] = -0.175 y[1] (analytic) = 10.166998149248758809485203441246 y[1] (numeric) = 10.166998149248758809485203441249 absolute error = 3e-30 relative error = 2.9507234642524947256103306051421e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.247 Order of pole = 593.8 TOP MAIN SOLVE Loop x[1] = -0.174 y[1] (analytic) = 10.167181728659875855742310722604 y[1] (numeric) = 10.167181728659875855742310722607 absolute error = 3e-30 relative error = 2.9506701857638836910691771106577e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.246 Order of pole = 593.8 TOP MAIN SOLVE Loop x[1] = -0.173 y[1] (analytic) = 10.167365409781014467120825499552 y[1] (numeric) = 10.167365409781014467120825499555 absolute error = 3e-30 relative error = 2.9506168796825157491531095491172e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.244 Order of pole = 593.7 TOP MAIN SOLVE Loop memory used=217.4MB, alloc=4.5MB, time=9.25 x[1] = -0.172 y[1] (analytic) = 10.167549192614096510167640036972 y[1] (numeric) = 10.167549192614096510167640036975 absolute error = 3e-30 relative error = 2.9505635460109283357541322338765e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.243 Order of pole = 593.7 TOP MAIN SOLVE Loop x[1] = -0.171 y[1] (analytic) = 10.167733077161045012680145478297 y[1] (numeric) = 10.1677330771610450126801454783 absolute error = 3e-30 relative error = 2.9505101847516600626713885682937e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.241 Order of pole = 593.6 TOP MAIN SOLVE Loop x[1] = -0.17 y[1] (analytic) = 10.167917063423784163895595152541 y[1] (numeric) = 10.167917063423784163895595152543 absolute error = 2e-30 relative error = 1.9669711972715004781857532168026e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.24 Order of pole = 593.6 TOP MAIN SOLVE Loop x[1] = -0.169 y[1] (analytic) = 10.168101151404239314680601102052 y[1] (numeric) = 10.168101151404239314680601102054 absolute error = 2e-30 relative error = 1.9669355863201608414610323804560e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.238 Order of pole = 593.6 TOP MAIN SOLVE Loop x[1] = -0.168 y[1] (analytic) = 10.168285341104336977720763885057 y[1] (numeric) = 10.16828534110433697772076388506 absolute error = 3e-30 relative error = 2.9503499354731738349349768011883e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.237 Order of pole = 593.5 TOP MAIN SOLVE Loop x[1] = -0.167 y[1] (analytic) = 10.168469632526004827710435707088 y[1] (numeric) = 10.16846963252600482771043570709 absolute error = 2e-30 relative error = 1.9668643092590611650732992421045e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.235 Order of pole = 593.5 TOP MAIN SOLVE Loop x[1] = -0.166 y[1] (analytic) = 10.16865402567117170154261693543 y[1] (numeric) = 10.168654025671171701542616935433 absolute error = 3e-30 relative error = 2.9502429647290394865606292242216e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.234 Order of pole = 593.5 TOP MAIN SOLVE Loop x[1] = -0.165 y[1] (analytic) = 10.168838520541767598498986050808 y[1] (numeric) = 10.168838520541767598498986050811 absolute error = 3e-30 relative error = 2.9501894379970627120411051651394e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.232 Order of pole = 593.4 TOP MAIN SOLVE Loop x[1] = -0.164 y[1] (analytic) = 10.169023117139723680440063090516 y[1] (numeric) = 10.169023117139723680440063090519 absolute error = 3e-30 relative error = 2.9501358836952082578820444616186e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.231 Order of pole = 593.4 TOP MAIN SOLVE Loop x[1] = -0.163 y[1] (analytic) = 10.169207815466972271995506637303 y[1] (numeric) = 10.169207815466972271995506637306 absolute error = 3e-30 relative error = 2.9500823018260241311572181252070e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.229 Order of pole = 593.4 TOP MAIN SOLVE Loop x[1] = -0.162 y[1] (analytic) = 10.169392615525446860754544408325 y[1] (numeric) = 10.169392615525446860754544408328 absolute error = 3e-30 relative error = 2.9500286923920595118498882724396e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.228 Order of pole = 593.3 TOP MAIN SOLVE Loop memory used=221.2MB, alloc=4.5MB, time=9.42 x[1] = -0.161 y[1] (analytic) = 10.169577517317082097456537498546 y[1] (numeric) = 10.16957751731708209745653749855 absolute error = 4e-30 relative error = 3.9333000738611530033587482552748e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.226 Order of pole = 593.3 TOP MAIN SOLVE Loop x[1] = -0.16 y[1] (analytic) = 10.169762520843813796181678333015 y[1] (numeric) = 10.169762520843813796181678333018 absolute error = 3e-30 relative error = 2.9499213908399913779656056753170e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.225 Order of pole = 593.3 TOP MAIN SOLVE Loop x[1] = -0.159 y[1] (analytic) = 10.169947626107578934541822382466 y[1] (numeric) = 10.169947626107578934541822382469 absolute error = 3e-30 relative error = 2.9498676987269920848982366912729e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.223 Order of pole = 593.2 TOP MAIN SOLVE Loop x[1] = -0.158 y[1] (analytic) = 10.170132833110315653871453696786 y[1] (numeric) = 10.170132833110315653871453696789 absolute error = 3e-30 relative error = 2.9498139790594207415993644552436e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.222 Order of pole = 593.2 TOP MAIN SOLVE Loop x[1] = -0.157 y[1] (analytic) = 10.170318141853963259418784310878 y[1] (numeric) = 10.170318141853963259418784310881 absolute error = 3e-30 relative error = 2.9497602318398323875908089808036e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.22 Order of pole = 593.2 TOP MAIN SOLVE Loop x[1] = -0.156 y[1] (analytic) = 10.17050355234046222053698757755 y[1] (numeric) = 10.170503552340462220536987577553 absolute error = 3e-30 relative error = 2.9497064570707832332993801719667e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.219 Order of pole = 593.1 TOP MAIN SOLVE Loop x[1] = -0.155 y[1] (analytic) = 10.170689064571754170875565482061 y[1] (numeric) = 10.170689064571754170875565482064 absolute error = 3e-30 relative error = 2.9496526547548306597223235291000e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.217 Order of pole = 593.1 TOP MAIN SOLVE Loop x[1] = -0.154 y[1] (analytic) = 10.170874678549781908571849993041 y[1] (numeric) = 10.170874678549781908571849993044 absolute error = 3e-30 relative error = 2.9495988248945332180926315372989e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.216 Order of pole = 593 TOP MAIN SOLVE Loop x[1] = -0.153 y[1] (analytic) = 10.171060394276489396442638504512 y[1] (numeric) = 10.171060394276489396442638504515 absolute error = 3e-30 relative error = 2.9495449674924506295442208065878e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.214 Order of pole = 593 TOP MAIN SOLVE Loop x[1] = -0.152 y[1] (analytic) = 10.171246211753821762175963423811 y[1] (numeric) = 10.171246211753821762175963423814 absolute error = 3e-30 relative error = 2.9494910825511437847769750333161e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.213 Order of pole = 593 TOP MAIN SOLVE Loop x[1] = -0.151 y[1] (analytic) = 10.171432130983725298522995960247 y[1] (numeric) = 10.171432130983725298522995960249 absolute error = 2e-30 relative error = 1.9662914467154498291477692347653e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.211 Order of pole = 592.9 TOP MAIN SOLVE Loop memory used=225.0MB, alloc=4.5MB, time=9.58 x[1] = -0.15 y[1] (analytic) = 10.171618151968147463490084169374 y[1] (numeric) = 10.171618151968147463490084169376 absolute error = 2e-30 relative error = 1.9662554867074044901364450987027e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.21 Order of pole = 592.9 TOP MAIN SOLVE Loop x[1] = -0.149 y[1] (analytic) = 10.171804274709036880530925307814 y[1] (numeric) = 10.171804274709036880530925307816 absolute error = 2e-30 relative error = 1.9662195083450027710751455984914e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.209 Order of pole = 592.9 TOP MAIN SOLVE Loop x[1] = -0.148 y[1] (analytic) = 10.171990499208343338738872553595 y[1] (numeric) = 10.171990499208343338738872553598 absolute error = 3e-30 relative error = 2.9492752674449325735573066099389e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.207 Order of pole = 592.9 TOP MAIN SOLVE Loop x[1] = -0.147 y[1] (analytic) = 10.172176825468017793039376147042 y[1] (numeric) = 10.172176825468017793039376147044 absolute error = 2e-30 relative error = 1.9661474965639724796927362893940e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.206 Order of pole = 592.8 TOP MAIN SOLVE Loop x[1] = -0.146 y[1] (analytic) = 10.172363253490012364382559007263 y[1] (numeric) = 10.172363253490012364382559007265 absolute error = 2e-30 relative error = 1.9661114631487669970747966712006e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.204 Order of pole = 592.8 TOP MAIN SOLVE Loop x[1] = -0.145 y[1] (analytic) = 10.172549783276280339935926879379 y[1] (numeric) = 10.172549783276280339935926879381 absolute error = 2e-30 relative error = 1.9660754113860513133654520704418e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.203 Order of pole = 592.8 TOP MAIN SOLVE Loop x[1] = -0.144 y[1] (analytic) = 10.172736414828776173277213067626 y[1] (numeric) = 10.172736414828776173277213067628 absolute error = 2e-30 relative error = 1.9660393412775389186667614532826e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.201 Order of pole = 592.7 TOP MAIN SOLVE Loop x[1] = -0.143 y[1] (analytic) = 10.172923148149455484587357809558 y[1] (numeric) = 10.172923148149455484587357809559 absolute error = 1e-30 relative error = 9.8300162641247204038883427584561e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.2 Order of pole = 592.7 TOP MAIN SOLVE Loop x[1] = -0.142 y[1] (analytic) = 10.17310998324027506084362234659 y[1] (numeric) = 10.173109983240275060843622346591 absolute error = 1e-30 relative error = 9.8298357301499092248490259605150e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.198 Order of pole = 592.7 TOP MAIN SOLVE Loop x[1] = -0.141 y[1] (analytic) = 10.173296920103192856012837746201 y[1] (numeric) = 10.173296920103192856012837746202 absolute error = 1e-30 relative error = 9.8296551044718401688160284054631e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.197 Order of pole = 592.6 TOP MAIN SOLVE Loop x[1] = -0.14 y[1] (analytic) = 10.173483958740167991244788531119 y[1] (numeric) = 10.17348395874016799124478853112 absolute error = 1e-30 relative error = 9.8294743870990962335096614722590e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.196 Order of pole = 592.6 TOP MAIN SOLVE Loop x[1] = -0.139 y[1] (analytic) = 10.173671099153160755065731170901 y[1] (numeric) = 10.173671099153160755065731170901 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.194 Order of pole = 592.6 memory used=228.8MB, alloc=4.5MB, time=9.75 TOP MAIN SOLVE Loop x[1] = -0.138 y[1] (analytic) = 10.173858341344132603572047491339 y[1] (numeric) = 10.17385834134413260357204749134 absolute error = 1e-30 relative error = 9.8291126773039351348244193653620e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.193 Order of pole = 592.5 TOP MAIN SOLVE Loop x[1] = -0.137 y[1] (analytic) = 10.174045685315046160624033057188 y[1] (numeric) = 10.174045685315046160624033057189 absolute error = 1e-30 relative error = 9.8289316848987033823837950676729e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.191 Order of pole = 592.5 TOP MAIN SOLVE Loop x[1] = -0.136 y[1] (analytic) = 10.174233131067865218039820583731 y[1] (numeric) = 10.174233131067865218039820583732 absolute error = 1e-30 relative error = 9.8287506008331675702994503669919e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.19 Order of pole = 592.5 TOP MAIN SOLVE Loop x[1] = -0.135 y[1] (analytic) = 10.174420678604554735789438432787 y[1] (numeric) = 10.174420678604554735789438432788 absolute error = 1e-30 relative error = 9.8285694251159301050487668942798e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.188 Order of pole = 592.4 TOP MAIN SOLVE Loop x[1] = -0.134 y[1] (analytic) = 10.174608327927080842189004248766 y[1] (numeric) = 10.174608327927080842189004248767 absolute error = 1e-30 relative error = 9.8283881577555972714887096538943e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.187 Order of pole = 592.4 TOP MAIN SOLVE Loop x[1] = -0.133 y[1] (analytic) = 10.174796079037410834095053790462 y[1] (numeric) = 10.174796079037410834095053790463 absolute error = 1e-30 relative error = 9.8282067987607792317308495881438e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.186 Order of pole = 592.4 TOP MAIN SOLVE Loop x[1] = -0.132 y[1] (analytic) = 10.174983931937513177099005014293 y[1] (numeric) = 10.174983931937513177099005014294 absolute error = 1e-30 relative error = 9.8280253481400900240159435167224e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.184 Order of pole = 592.3 TOP MAIN SOLVE Loop x[1] = -0.131 y[1] (analytic) = 10.175171886629357505721757464762 y[1] (numeric) = 10.175171886629357505721757464763 absolute error = 1e-30 relative error = 9.8278438059021475615880716835167e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.183 Order of pole = 592.3 TOP MAIN SOLVE Loop x[1] = -0.13 y[1] (analytic) = 10.175359943114914623608427027952 y[1] (numeric) = 10.175359943114914623608427027953 absolute error = 1e-30 relative error = 9.8276621720555736315683331433398e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.181 Order of pole = 592.3 TOP MAIN SOLVE Loop x[1] = -0.129 y[1] (analytic) = 10.175548101396156503723216103921 y[1] (numeric) = 10.175548101396156503723216103921 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.18 Order of pole = 592.3 TOP MAIN SOLVE Loop x[1] = -0.128 y[1] (analytic) = 10.175736361475056288544419253892 y[1] (numeric) = 10.175736361475056288544419253892 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.179 Order of pole = 592.2 TOP MAIN SOLVE Loop memory used=232.7MB, alloc=4.5MB, time=9.92 x[1] = -0.127 y[1] (analytic) = 10.175924723353588290259564378215 y[1] (numeric) = 10.175924723353588290259564378215 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.177 Order of pole = 592.2 TOP MAIN SOLVE Loop x[1] = -0.126 y[1] (analytic) = 10.17611318703372799096068948108 y[1] (numeric) = 10.17611318703372799096068948108 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.176 Order of pole = 592.2 TOP MAIN SOLVE Loop x[1] = -0.125 y[1] (analytic) = 10.176301752517452042839755078052 y[1] (numeric) = 10.176301752517452042839755078052 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.174 Order of pole = 592.1 TOP MAIN SOLVE Loop x[1] = -0.124 y[1] (analytic) = 10.17649041980673826838419230251 y[1] (numeric) = 10.176490419806738268384192302509 absolute error = 1e-30 relative error = 9.8265704456781771352737620621141e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.173 Order of pole = 592.1 TOP MAIN SOLVE Loop x[1] = -0.123 y[1] (analytic) = 10.176679188903565660572586767136 y[1] (numeric) = 10.176679188903565660572586767135 absolute error = 1e-30 relative error = 9.8263881708129181404432784649313e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.172 Order of pole = 592.1 TOP MAIN SOLVE Loop x[1] = -0.122 y[1] (analytic) = 10.17686805980991438307049823666 y[1] (numeric) = 10.176868059809914383070498236659 absolute error = 1e-30 relative error = 9.8262058044081412992601156584538e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.17 Order of pole = 592.1 TOP MAIN SOLVE Loop x[1] = -0.121 y[1] (analytic) = 10.177057032527765770426416168074 y[1] (numeric) = 10.177057032527765770426416168073 absolute error = 1e-30 relative error = 9.8260233464725032129819931754083e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.169 Order of pole = 592 TOP MAIN SOLVE Loop x[1] = -0.12 y[1] (analytic) = 10.177246107059102328267851174622 y[1] (numeric) = 10.177246107059102328267851174622 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.167 Order of pole = 592 TOP MAIN SOLVE Loop x[1] = -0.119 y[1] (analytic) = 10.177435283405907733497562469893 y[1] (numeric) = 10.177435283405907733497562469892 absolute error = 1e-30 relative error = 9.8256581560432890219891196887875e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.166 Order of pole = 592 TOP MAIN SOLVE Loop x[1] = -0.118 y[1] (analytic) = 10.177624561570166834489921348383 y[1] (numeric) = 10.177624561570166834489921348383 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.165 Order of pole = 591.9 TOP MAIN SOLVE Loop x[1] = -0.117 y[1] (analytic) = 10.177813941553865651287410758985 y[1] (numeric) = 10.177813941553865651287410758985 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.163 Order of pole = 591.9 TOP MAIN SOLVE Loop memory used=236.5MB, alloc=4.5MB, time=10.08 x[1] = -0.116 y[1] (analytic) = 10.178003423358991375797261027842 y[1] (numeric) = 10.178003423358991375797261027843 absolute error = 1e-30 relative error = 9.8251096841346454671096558240164e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.162 Order of pole = 591.9 TOP MAIN SOLVE Loop x[1] = -0.115 y[1] (analytic) = 10.178193006987532371988221787125 y[1] (numeric) = 10.178193006987532371988221787125 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.161 Order of pole = 591.9 TOP MAIN SOLVE Loop x[1] = -0.114 y[1] (analytic) = 10.178382692441478176087470166267 y[1] (numeric) = 10.178382692441478176087470166268 absolute error = 1e-30 relative error = 9.8247435787868871107199749639040e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.159 Order of pole = 591.8 TOP MAIN SOLVE Loop x[1] = -0.113 y[1] (analytic) = 10.178572479722819496777655302311 y[1] (numeric) = 10.178572479722819496777655302312 absolute error = 1e-30 relative error = 9.8245603889164599820718846924604e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.158 Order of pole = 591.8 TOP MAIN SOLVE Loop x[1] = -0.112 y[1] (analytic) = 10.178762368833548215394079225995 y[1] (numeric) = 10.178762368833548215394079225996 absolute error = 1e-30 relative error = 9.8243771075932547003544701154807e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.156 Order of pole = 591.8 TOP MAIN SOLVE Loop x[1] = -0.111 y[1] (analytic) = 10.178952359775657386122014180324 y[1] (numeric) = 10.178952359775657386122014180324 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.155 Order of pole = 591.8 TOP MAIN SOLVE Loop x[1] = -0.11 y[1] (analytic) = 10.179142452551141236194156428355 y[1] (numeric) = 10.179142452551141236194156428356 absolute error = 1e-30 relative error = 9.8240102706232942337709400964124e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.154 Order of pole = 591.7 TOP MAIN SOLVE Loop x[1] = -0.109 y[1] (analytic) = 10.179332647161995166088216607038 y[1] (numeric) = 10.179332647161995166088216607039 absolute error = 1e-30 relative error = 9.8238267149939409539450034621946e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.152 Order of pole = 591.7 TOP MAIN SOLVE Loop x[1] = -0.108 y[1] (analytic) = 10.179522943610215749724646683929 y[1] (numeric) = 10.17952294361021574972464668393 absolute error = 1e-30 relative error = 9.8236430679466133288585908030432e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.151 Order of pole = 591.7 TOP MAIN SOLVE Loop x[1] = -0.107 y[1] (analytic) = 10.179713341897800734664503573711 y[1] (numeric) = 10.179713341897800734664503573713 absolute error = 2e-30 relative error = 1.9646918658980043865861347466855e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.15 Order of pole = 591.6 TOP MAIN SOLVE Loop x[1] = -0.106 y[1] (analytic) = 10.179903842026749042307449471459 y[1] (numeric) = 10.17990384202674904230744947146 absolute error = 1e-30 relative error = 9.8232754996328811872938895895891e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.148 Order of pole = 591.6 TOP MAIN SOLVE Loop memory used=240.3MB, alloc=4.5MB, time=10.24 x[1] = -0.105 y[1] (analytic) = 10.180094443999060768089888959637 y[1] (numeric) = 10.180094443999060768089888959639 absolute error = 2e-30 relative error = 1.9646183156767818717314517125231e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.147 Order of pole = 591.6 TOP MAIN SOLVE Loop x[1] = -0.104 y[1] (analytic) = 10.180285147816737181683242945902 y[1] (numeric) = 10.180285147816737181683242945904 absolute error = 2e-30 relative error = 1.9645815131503657116336929475844e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.146 Order of pole = 591.6 TOP MAIN SOLVE Loop x[1] = -0.103 y[1] (analytic) = 10.180475953481780727192359488774 y[1] (numeric) = 10.180475953481780727192359488775 absolute error = 1e-30 relative error = 9.8227234617453647402757012752683e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.144 Order of pole = 591.5 TOP MAIN SOLVE Loop x[1] = -0.102 y[1] (analytic) = 10.180666860996195023354061568337 y[1] (numeric) = 10.180666860996195023354061568339 absolute error = 2e-30 relative error = 1.9645078532746495403178159926869e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.143 Order of pole = 591.5 TOP MAIN SOLVE Loop x[1] = -0.101 y[1] (analytic) = 10.180857870361984863735831859163 y[1] (numeric) = 10.180857870361984863735831859164 absolute error = 1e-30 relative error = 9.8223549796442110797416053837442e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.141 Order of pole = 591.5 TOP MAIN SOLVE Loop x[1] = -0.1 y[1] (analytic) = 10.181048981581156216934634562667 y[1] (numeric) = 10.181048981581156216934634562668 absolute error = 1e-30 relative error = 9.8221706015669923522497139167265e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.14 Order of pole = 591.5 TOP MAIN SOLVE Loop x[1] = -0.099 y[1] (analytic) = 10.181240194655716226775874356216 y[1] (numeric) = 10.181240194655716226775874356218 absolute error = 2e-30 relative error = 1.9643972264300665670746755652369e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.139 Order of pole = 591.4 TOP MAIN SOLVE Loop x[1] = -0.098 y[1] (analytic) = 10.181431509587673212512492516303 y[1] (numeric) = 10.181431509587673212512492516304 absolute error = 1e-30 relative error = 9.8218015714029776829757746550613e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.137 Order of pole = 591.4 TOP MAIN SOLVE Loop x[1] = -0.097 y[1] (analytic) = 10.181622926379036669024200273164 y[1] (numeric) = 10.181622926379036669024200273165 absolute error = 1e-30 relative error = 9.8216169193336758853825221675194e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.136 Order of pole = 591.4 TOP MAIN SOLVE Loop x[1] = -0.096 y[1] (analytic) = 10.181814445031817267016849454288 y[1] (numeric) = 10.181814445031817267016849454289 absolute error = 1e-30 relative error = 9.8214321759511802682404790716994e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.135 Order of pole = 591.4 TOP MAIN SOLVE Loop x[1] = -0.095 y[1] (analytic) = 10.182006065548026853221940474274 y[1] (numeric) = 10.182006065548026853221940474275 absolute error = 1e-30 relative error = 9.8212473412642474913761117576987e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.133 Order of pole = 591.3 TOP MAIN SOLVE Loop x[1] = -0.094 y[1] (analytic) = 10.182197787929678450596267728578 y[1] (numeric) = 10.182197787929678450596267728579 absolute error = 1e-30 relative error = 9.8210624152816380476534272853458e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.132 Order of pole = 591.3 memory used=244.1MB, alloc=4.5MB, time=10.41 TOP MAIN SOLVE Loop x[1] = -0.093 y[1] (analytic) = 10.182389612178786258521702448711 y[1] (numeric) = 10.182389612178786258521702448712 absolute error = 1e-30 relative error = 9.8208773980121162618314728564182e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.131 Order of pole = 591.3 TOP MAIN SOLVE Loop x[1] = -0.092 y[1] (analytic) = 10.18258153829736565300511307652 y[1] (numeric) = 10.182581538297365653005113076521 absolute error = 1e-30 relative error = 9.8206922894644502894214020059875e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.129 Order of pole = 591.3 TOP MAIN SOLVE Loop x[1] = -0.091 y[1] (analytic) = 10.182773566287433186878423215216 y[1] (numeric) = 10.182773566287433186878423215217 absolute error = 1e-30 relative error = 9.8205070896474121155431077476475e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.128 Order of pole = 591.2 TOP MAIN SOLVE Loop x[1] = -0.09 y[1] (analytic) = 10.182965696151006589998807214869 y[1] (numeric) = 10.18296569615100658999880721487 absolute error = 1e-30 relative error = 9.8203217985697775537814229074241e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.127 Order of pole = 591.2 TOP MAIN SOLVE Loop x[1] = -0.089 y[1] (analytic) = 10.183157927890104769449023450133 y[1] (numeric) = 10.183157927890104769449023450135 absolute error = 2e-30 relative error = 1.9640272832480652490083775762457e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.125 Order of pole = 591.2 TOP MAIN SOLVE Loop x[1] = -0.088 y[1] (analytic) = 10.183350261506747809737885348026 y[1] (numeric) = 10.183350261506747809737885348028 absolute error = 2e-30 relative error = 1.9639901885335683312812172101507e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.124 Order of pole = 591.2 TOP MAIN SOLVE Loop x[1] = -0.087 y[1] (analytic) = 10.183542697002956973000870223614 y[1] (numeric) = 10.183542697002956973000870223615 absolute error = 1e-30 relative error = 9.8197653778611110799865470927942e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.123 Order of pole = 591.1 TOP MAIN SOLVE Loop x[1] = -0.086 y[1] (analytic) = 10.183735234380754699200865981519 y[1] (numeric) = 10.183735234380754699200865981521 absolute error = 2e-30 relative error = 1.9639159443657851263562436833999e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.121 Order of pole = 591.1 TOP MAIN SOLVE Loop x[1] = -0.085 y[1] (analytic) = 10.183927873642164606329055741219 y[1] (numeric) = 10.183927873642164606329055741221 absolute error = 2e-30 relative error = 1.9638787949160160501055009934249e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.12 Order of pole = 591.1 TOP MAIN SOLVE Loop x[1] = -0.084 y[1] (analytic) = 10.184120614789211490605940444124 y[1] (numeric) = 10.184120614789211490605940444126 absolute error = 2e-30 relative error = 1.9638416272246747393111755241858e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.119 Order of pole = 591.1 TOP MAIN SOLVE Loop x[1] = -0.083 y[1] (analytic) = 10.184313457823921326682499500511 y[1] (numeric) = 10.184313457823921326682499500513 absolute error = 2e-30 relative error = 1.9638044412935217101286100847767e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.117 Order of pole = 591 TOP MAIN SOLVE Loop memory used=247.9MB, alloc=4.5MB, time=10.57 x[1] = -0.082 y[1] (analytic) = 10.184506402748321267841489534411 y[1] (numeric) = 10.184506402748321267841489534413 absolute error = 2e-30 relative error = 1.9637672371243182425729453783839e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.116 Order of pole = 591 TOP MAIN SOLVE Loop x[1] = -0.081 y[1] (analytic) = 10.184699449564439646198881284599 y[1] (numeric) = 10.184699449564439646198881284601 absolute error = 2e-30 relative error = 1.9637300147188263802895831237053e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.115 Order of pole = 591 TOP MAIN SOLVE Loop x[1] = -0.08 y[1] (analytic) = 10.184892598274305972905434719899 y[1] (numeric) = 10.184892598274305972905434719901 absolute error = 2e-30 relative error = 1.9636927740788089303245630843028e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.113 Order of pole = 591 TOP MAIN SOLVE Loop x[1] = -0.079 y[1] (analytic) = 10.185085848879950938348412427048 y[1] (numeric) = 10.185085848879950938348412427049 absolute error = 1e-30 relative error = 9.8182775760301473144742702648504e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.112 Order of pole = 591 TOP MAIN SOLVE Loop x[1] = -0.078 y[1] (analytic) = 10.185279201383406412353431329417 y[1] (numeric) = 10.185279201383406412353431329419 absolute error = 2e-30 relative error = 1.9636182381022523111585588382046e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.111 Order of pole = 590.9 TOP MAIN SOLVE Loop x[1] = -0.077 y[1] (analytic) = 10.185472655786705444386452794953 y[1] (numeric) = 10.185472655786705444386452794955 absolute error = 2e-30 relative error = 1.9635809427692425709850332998808e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.11 Order of pole = 590.9 TOP MAIN SOLVE Loop x[1] = -0.076 y[1] (analytic) = 10.185666212091882263755911191713 y[1] (numeric) = 10.185666212091882263755911191715 absolute error = 2e-30 relative error = 1.9635436292087661007249194812405e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.108 Order of pole = 590.9 TOP MAIN SOLVE Loop x[1] = -0.075 y[1] (analytic) = 10.185859870300972279814980949463 y[1] (numeric) = 10.185859870300972279814980949465 absolute error = 2e-30 relative error = 1.9635062974225895209800928843172e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.107 Order of pole = 590.9 TOP MAIN SOLVE Loop x[1] = -0.074 y[1] (analytic) = 10.186053630416012082163982185816 y[1] (numeric) = 10.186053630416012082163982185818 absolute error = 2e-30 relative error = 1.9634689474124802143735239359285e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.106 Order of pole = 590.8 TOP MAIN SOLVE Loop x[1] = -0.073 y[1] (analytic) = 10.186247492439039440852924955468 y[1] (numeric) = 10.186247492439039440852924955469 absolute error = 1e-30 relative error = 9.8171578959010316265952684568891e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.104 Order of pole = 590.8 TOP MAIN SOLVE Loop x[1] = -0.072 y[1] (analytic) = 10.186441456372093306584192181109 y[1] (numeric) = 10.186441456372093306584192181111 absolute error = 2e-30 relative error = 1.9633941927275367597910838230205e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.103 Order of pole = 590.8 TOP MAIN SOLVE Loop memory used=251.7MB, alloc=4.5MB, time=10.74 x[1] = -0.071 y[1] (analytic) = 10.186635522217213810915361324672 y[1] (numeric) = 10.186635522217213810915361324674 absolute error = 2e-30 relative error = 1.9633567880562411850941809408529e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.102 Order of pole = 590.8 TOP MAIN SOLVE Loop x[1] = -0.07 y[1] (analytic) = 10.18682968997644226646216485758 y[1] (numeric) = 10.186829689976442266462164857582 absolute error = 2e-30 relative error = 1.9633193651680900296325952923062e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.1 Order of pole = 590.8 TOP MAIN SOLVE Loop x[1] = -0.069 y[1] (analytic) = 10.187023959651821167101589588764 y[1] (numeric) = 10.187023959651821167101589588766 absolute error = 2e-30 relative error = 1.9632819240648544826796938884201e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.099 Order of pole = 590.7 TOP MAIN SOLVE Loop x[1] = -0.068 y[1] (analytic) = 10.187218331245394188175114909213 y[1] (numeric) = 10.187218331245394188175114909214 absolute error = 1e-30 relative error = 9.8162223237415324707365405179939e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.098 Order of pole = 590.7 TOP MAIN SOLVE Loop x[1] = -0.067 y[1] (analytic) = 10.187412804759206186692090011906 y[1] (numeric) = 10.187412804759206186692090011907 absolute error = 1e-30 relative error = 9.8160349361010938717749789807561e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.097 Order of pole = 590.7 TOP MAIN SOLVE Loop x[1] = -0.066 y[1] (analytic) = 10.187607380195303201533250146015 y[1] (numeric) = 10.187607380195303201533250146016 absolute error = 1e-30 relative error = 9.8158474574118239689960899841510e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.095 Order of pole = 590.7 TOP MAIN SOLVE Loop x[1] = -0.065 y[1] (analytic) = 10.187802057555732453654371964305 y[1] (numeric) = 10.187802057555732453654371964306 absolute error = 1e-30 relative error = 9.8156598876825939146121510629952e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.094 Order of pole = 590.6 TOP MAIN SOLVE Loop x[1] = -0.064 y[1] (analytic) = 10.18799683684254234629006802272 y[1] (numeric) = 10.187996836842542346290068022721 absolute error = 1e-30 relative error = 9.8154722269222786594104419643057e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.093 Order of pole = 590.6 TOP MAIN SOLVE Loop x[1] = -0.063 y[1] (analytic) = 10.188191718057782465157720491193 y[1] (numeric) = 10.188191718057782465157720491195 absolute error = 2e-30 relative error = 1.9630568950279513903195696053983e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.091 Order of pole = 590.6 TOP MAIN SOLVE Loop x[1] = -0.062 y[1] (analytic) = 10.188386701203503578661554134757 y[1] (numeric) = 10.188386701203503578661554134759 absolute error = 2e-30 relative error = 1.9630193264687822671290074692762e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.09 Order of pole = 590.6 TOP MAIN SOLVE Loop x[1] = -0.061 y[1] (analytic) = 10.18858178628175763809684862409 y[1] (numeric) = 10.188581786281757638096848624091 absolute error = 1e-30 relative error = 9.8149086985436281511302119599204e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.089 Order of pole = 590.6 TOP MAIN SOLVE Loop memory used=255.5MB, alloc=4.5MB, time=10.91 x[1] = -0.06 y[1] (analytic) = 10.188776973294597777854290234676 y[1] (numeric) = 10.188776973294597777854290234677 absolute error = 1e-30 relative error = 9.8147206737477975315824332904352e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.088 Order of pole = 590.5 TOP MAIN SOLVE Loop x[1] = -0.059 y[1] (analytic) = 10.18897226224407831562446299382 y[1] (numeric) = 10.188972262244078315624462993821 absolute error = 1e-30 relative error = 9.8145325579653134033245220833813e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.086 Order of pole = 590.5 TOP MAIN SOLVE Loop x[1] = -0.058 y[1] (analytic) = 10.189167653132254752602479334783 y[1] (numeric) = 10.189167653132254752602479334784 absolute error = 1e-30 relative error = 9.8143443512050734843155330745979e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.085 Order of pole = 590.5 TOP MAIN SOLVE Loop x[1] = -0.057 y[1] (analytic) = 10.18936314596118377369275031738 y[1] (numeric) = 10.189363145961183773692750317381 absolute error = 1e-30 relative error = 9.8141560534759792829928046250864e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.084 Order of pole = 590.5 TOP MAIN SOLVE Loop x[1] = -0.056 y[1] (analytic) = 10.189558740732923247713895474408 y[1] (numeric) = 10.189558740732923247713895474409 absolute error = 1e-30 relative error = 9.8139676647869360971135835594235e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.082 Order of pole = 590.5 TOP MAIN SOLVE Loop x[1] = -0.055 y[1] (analytic) = 10.189754437449532227603792343344 y[1] (numeric) = 10.189754437449532227603792343346 absolute error = 2e-30 relative error = 1.9627558370293706025192450888882e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.081 Order of pole = 590.4 TOP MAIN SOLVE Loop x[1] = -0.054 y[1] (analytic) = 10.189950236113070950624765742788 y[1] (numeric) = 10.189950236113070950624765742789 absolute error = 1e-30 relative error = 9.8135906145646429023609705448706e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.08 Order of pole = 590.4 TOP MAIN SOLVE Loop x[1] = -0.053 y[1] (analytic) = 10.190146136725600838568916853162 y[1] (numeric) = 10.190146136725600838568916853163 absolute error = 1e-30 relative error = 9.8134019530492224251702956927158e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.079 Order of pole = 590.4 TOP MAIN SOLVE Loop x[1] = -0.052 y[1] (analytic) = 10.190342139289184497963592161276 y[1] (numeric) = 10.190342139289184497963592161277 absolute error = 1e-30 relative error = 9.8132132006095120244688423071161e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.077 Order of pole = 590.4 TOP MAIN SOLVE Loop x[1] = -0.051 y[1] (analytic) = 10.190538243805885720276992328348 y[1] (numeric) = 10.19053824380588572027699232835 absolute error = 2e-30 relative error = 1.9626048714508871854445841603176e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.076 Order of pole = 590.4 TOP MAIN SOLVE Loop x[1] = -0.05 y[1] (analytic) = 10.190734450277769482123921041191 y[1] (numeric) = 10.190734450277769482123921041193 absolute error = 2e-30 relative error = 1.9625670845985844285519183231016e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.075 Order of pole = 590.3 TOP MAIN SOLVE Loop x[1] = -0.049 y[1] (analytic) = 10.190930758706901945471673906259 y[1] (numeric) = 10.190930758706901945471673906261 memory used=259.4MB, alloc=4.5MB, time=11.07 absolute error = 2e-30 relative error = 1.9625292795667804923210646213626e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.074 Order of pole = 590.3 TOP MAIN SOLVE Loop x[1] = -0.048 y[1] (analytic) = 10.191127169095350457846067446356 y[1] (numeric) = 10.191127169095350457846067446358 absolute error = 2e-30 relative error = 1.9624914563572624908648453085800e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.072 Order of pole = 590.3 TOP MAIN SOLVE Loop x[1] = -0.047 y[1] (analytic) = 10.191323681445183552537608259819 y[1] (numeric) = 10.191323681445183552537608259821 absolute error = 2e-30 relative error = 1.9624536149718182940711736853554e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.071 Order of pole = 590.3 TOP MAIN SOLVE Loop x[1] = -0.046 y[1] (analytic) = 10.191520295758470948807802402047 y[1] (numeric) = 10.191520295758470948807802402049 absolute error = 2e-30 relative error = 1.9624157554122365273705320791149e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.07 Order of pole = 590.3 TOP MAIN SOLVE Loop x[1] = -0.045 y[1] (analytic) = 10.191717012037283552095605049313 y[1] (numeric) = 10.191717012037283552095605049315 absolute error = 2e-30 relative error = 1.9623778776803065715033653857106e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.068 Order of pole = 590.2 TOP MAIN SOLVE Loop x[1] = -0.044 y[1] (analytic) = 10.191913830283693454224010504821 y[1] (numeric) = 10.191913830283693454224010504823 absolute error = 2e-30 relative error = 1.9623399817778185622873902203636e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.067 Order of pole = 590.2 TOP MAIN SOLVE Loop x[1] = -0.043 y[1] (analytic) = 10.192110750499773933606782607045 y[1] (numeric) = 10.192110750499773933606782607047 absolute error = 2e-30 relative error = 1.9623020677065633903848197253960e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.066 Order of pole = 590.2 TOP MAIN SOLVE Loop x[1] = -0.042 y[1] (analytic) = 10.192307772687599455455325600412 y[1] (numeric) = 10.192307772687599455455325600414 absolute error = 2e-30 relative error = 1.9622641354683327010695040822141e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.065 Order of pole = 590.2 TOP MAIN SOLVE Loop x[1] = -0.041 y[1] (analytic) = 10.192504896849245671985695528464 y[1] (numeric) = 10.192504896849245671985695528466 absolute error = 2e-30 relative error = 1.9622261850649188939939867750107e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.063 Order of pole = 590.2 TOP MAIN SOLVE Loop x[1] = -0.04 y[1] (analytic) = 10.192702122986789422625752209666 y[1] (numeric) = 10.192702122986789422625752209668 absolute error = 2e-30 relative error = 1.9621882164981151229564766536669e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.062 Order of pole = 590.1 TOP MAIN SOLVE Loop x[1] = -0.039 y[1] (analytic) = 10.192899451102308734222451856088 y[1] (numeric) = 10.19289945110230873422245185609 absolute error = 2e-30 relative error = 1.9621502297697152956677358433430e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.061 Order of pole = 590.1 TOP MAIN SOLVE Loop x[1] = -0.038 y[1] (analytic) = 10.193096881197882821249280395236 y[1] (numeric) = 10.193096881197882821249280395239 absolute error = 3e-30 relative error = 2.9431683373222711102768253223863e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.06 Order of pole = 590.1 TOP MAIN SOLVE Loop memory used=263.2MB, alloc=4.5MB, time=11.23 x[1] = -0.037 y[1] (analytic) = 10.193294413275592086013827555358 y[1] (numeric) = 10.193294413275592086013827555361 absolute error = 3e-30 relative error = 2.9431113027529603070146736957446e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.058 Order of pole = 590.1 TOP MAIN SOLVE Loop x[1] = -0.036 y[1] (analytic) = 10.193492047337518118865501774589 y[1] (numeric) = 10.193492047337518118865501774592 absolute error = 3e-30 relative error = 2.9430542409493347857885117670603e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.057 Order of pole = 590.1 TOP MAIN SOLVE Loop x[1] = -0.035 y[1] (analytic) = 10.193689783385743698403385994377 y[1] (numeric) = 10.19368978338574369840338599438 absolute error = 3e-30 relative error = 2.9429971519140899281405989143039e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.056 Order of pole = 590 TOP MAIN SOLVE Loop x[1] = -0.034 y[1] (analytic) = 10.193887621422352791684234397652 y[1] (numeric) = 10.193887621422352791684234397655 absolute error = 3e-30 relative error = 2.9429400356499222447317927950292e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.055 Order of pole = 590 TOP MAIN SOLVE Loop x[1] = -0.033 y[1] (analytic) = 10.194085561449430554430610152267 y[1] (numeric) = 10.194085561449430554430610152271 absolute error = 4e-30 relative error = 3.9238438562127058333215004369430e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.053 Order of pole = 590 TOP MAIN SOLVE Loop x[1] = -0.032 y[1] (analytic) = 10.194283603469063331239164220293 y[1] (numeric) = 10.194283603469063331239164220297 absolute error = 4e-30 relative error = 3.9237676285941467823536705895254e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.052 Order of pole = 590 TOP MAIN SOLVE Loop x[1] = -0.031 y[1] (analytic) = 10.194481747483338655789055293777 y[1] (numeric) = 10.194481747483338655789055293781 absolute error = 4e-30 relative error = 3.9236913646811523679570415604544e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.051 Order of pole = 590 TOP MAIN SOLVE Loop x[1] = -0.03 y[1] (analytic) = 10.194679993494345251050510917662 y[1] (numeric) = 10.194679993494345251050510917667 absolute error = 5e-30 relative error = 4.9045188305966549437141060819235e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.05 Order of pole = 590 TOP MAIN SOLVE Loop x[1] = -0.029 y[1] (analytic) = 10.19487834150417302949352986058 y[1] (numeric) = 10.194878341504173029493529860585 absolute error = 5e-30 relative error = 4.9044234099828305142371260102406e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.049 Order of pole = 589.9 TOP MAIN SOLVE Loop x[1] = -0.028 y[1] (analytic) = 10.195076791514913093296725794293 y[1] (numeric) = 10.195076791514913093296725794298 absolute error = 5e-30 relative error = 4.9043279440144726348639365000107e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.047 Order of pole = 589.9 TOP MAIN SOLVE Loop x[1] = -0.027 y[1] (analytic) = 10.195275343528657734556312342625 y[1] (numeric) = 10.19527534352865773455631234263 absolute error = 5e-30 relative error = 4.9042324326960886467147661449828e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.046 Order of pole = 589.9 TOP MAIN SOLVE Loop memory used=267.0MB, alloc=4.5MB, time=11.40 x[1] = -0.026 y[1] (analytic) = 10.195473997547500435495229560748 y[1] (numeric) = 10.195473997547500435495229560753 absolute error = 5e-30 relative error = 4.9041368760321877680959929745580e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.045 Order of pole = 589.9 TOP MAIN SOLVE Loop x[1] = -0.025 y[1] (analytic) = 10.195672753573535868672411905759 y[1] (numeric) = 10.195672753573535868672411905764 absolute error = 5e-30 relative error = 4.9040412740272810939144313416090e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.044 Order of pole = 589.9 TOP MAIN SOLVE Loop x[1] = -0.024 y[1] (analytic) = 10.19587161160885989719219775952 y[1] (numeric) = 10.195871611608859897192197759525 absolute error = 5e-30 relative error = 4.9039456266858815950914102108147e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.042 Order of pole = 589.9 TOP MAIN SOLVE Loop x[1] = -0.023 y[1] (analytic) = 10.196070571655569574913880564799 y[1] (numeric) = 10.196070571655569574913880564805 absolute error = 6e-30 relative error = 5.8846199208150049415719715599430e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.041 Order of pole = 589.8 TOP MAIN SOLVE Loop x[1] = -0.022 y[1] (analytic) = 10.196269633715763146661401635789 y[1] (numeric) = 10.196269633715763146661401635795 absolute error = 6e-30 relative error = 5.8845050352139984605142666319448e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.04 Order of pole = 589.8 TOP MAIN SOLVE Loop x[1] = -0.021 y[1] (analytic) = 10.196468797791540048433184704128 y[1] (numeric) = 10.196468797791540048433184704134 absolute error = 6e-30 relative error = 5.8843900952254607854732874554660e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.039 Order of pole = 589.8 TOP MAIN SOLVE Loop x[1] = -0.02 y[1] (analytic) = 10.196668063885000907612112261616 y[1] (numeric) = 10.196668063885000907612112261623 absolute error = 7e-30 relative error = 6.8649876176639525592862765005370e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.037 Order of pole = 589.8 TOP MAIN SOLVE Loop x[1] = -0.019 y[1] (analytic) = 10.196867431998247543175643760856 y[1] (numeric) = 10.196867431998247543175643760862 absolute error = 6e-30 relative error = 5.8841600521074923528964557140371e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.036 Order of pole = 589.8 TOP MAIN SOLVE Loop x[1] = -0.018 y[1] (analytic) = 10.197066902133382965906075735088 y[1] (numeric) = 10.197066902133382965906075735094 absolute error = 6e-30 relative error = 5.8840449489889174636288165528126e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.035 Order of pole = 589.7 TOP MAIN SOLVE Loop x[1] = -0.017 y[1] (analytic) = 10.19726647429251137860094389858 y[1] (numeric) = 10.197266474292511378600943898586 absolute error = 6e-30 relative error = 5.8839297915045231155048706970147e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.034 Order of pole = 589.7 TOP MAIN SOLVE Loop x[1] = -0.016 y[1] (analytic) = 10.197466148477738176283567288927 y[1] (numeric) = 10.197466148477738176283567288933 absolute error = 6e-30 relative error = 5.8838145796597428580277440894990e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.032 Order of pole = 589.7 TOP MAIN SOLVE Loop memory used=270.8MB, alloc=4.5MB, time=11.57 x[1] = -0.015 y[1] (analytic) = 10.197665924691169946413734512724 y[1] (numeric) = 10.19766592469116994641373451273 absolute error = 6e-30 relative error = 5.8836993134600124855787849428195e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.031 Order of pole = 589.7 TOP MAIN SOLVE Loop x[1] = -0.014 y[1] (analytic) = 10.197865802934914469098532156073 y[1] (numeric) = 10.197865802934914469098532156079 absolute error = 6e-30 relative error = 5.8835839929107700367119623575616e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.03 Order of pole = 589.7 TOP MAIN SOLVE Loop x[1] = -0.013 y[1] (analytic) = 10.198065783211080717303315421487 y[1] (numeric) = 10.198065783211080717303315421493 absolute error = 6e-30 relative error = 5.8834686180174557934480161951436e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.029 Order of pole = 589.7 TOP MAIN SOLVE Loop x[1] = -0.012 y[1] (analytic) = 10.198265865521778857062821052758 y[1] (numeric) = 10.198265865521778857062821052763 absolute error = 5e-30 relative error = 4.9027943239879269004736319569545e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.028 Order of pole = 589.6 TOP MAIN SOLVE Loop x[1] = -0.011 y[1] (analytic) = 10.19846604986912024769242260944 y[1] (numeric) = 10.198466049869120247692422609445 absolute error = 5e-30 relative error = 4.9026980876836535540906046273622e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.026 Order of pole = 589.6 TOP MAIN SOLVE Loop x[1] = -0.01 y[1] (analytic) = 10.198666336255217441999528152639 y[1] (numeric) = 10.198666336255217441999528152645 absolute error = 6e-30 relative error = 5.8831221673275187546525838829933e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.025 Order of pole = 589.6 TOP MAIN SOLVE Loop x[1] = -0.009 y[1] (analytic) = 10.198866724682184186495120403847 y[1] (numeric) = 10.198866724682184186495120403853 absolute error = 6e-30 relative error = 5.8830065751123649986242850753792e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.024 Order of pole = 589.6 TOP MAIN SOLVE Loop x[1] = -0.008 y[1] (analytic) = 10.199067215152135421605439438611 y[1] (numeric) = 10.199067215152135421605439438617 absolute error = 6e-30 relative error = 5.8828909285803744855819748231838e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.023 Order of pole = 589.6 TOP MAIN SOLVE Loop x[1] = -0.007 y[1] (analytic) = 10.199267807667187281883807976889 y[1] (numeric) = 10.199267807667187281883807976895 absolute error = 6e-30 relative error = 5.8827752277370009435102531850683e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.022 Order of pole = 589.6 TOP MAIN SOLVE Loop x[1] = -0.006 y[1] (analytic) = 10.199468502229457096222599331983 y[1] (numeric) = 10.199468502229457096222599331989 absolute error = 6e-30 relative error = 5.8826594725877003389125872517973e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.02 Order of pole = 589.6 TOP MAIN SOLVE Loop x[1] = -0.005 y[1] (analytic) = 10.199669298841063388065348079995 y[1] (numeric) = 10.199669298841063388065348080002 absolute error = 7e-30 relative error = 6.8629676069942526887873889164652e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.019 Order of pole = 589.5 TOP MAIN SOLVE Loop memory used=274.6MB, alloc=4.5MB, time=11.73 x[1] = -0.004 y[1] (analytic) = 10.199870197504125875619003511812 y[1] (numeric) = 10.199870197504125875619003511819 absolute error = 7e-30 relative error = 6.8628324326253451625837638045349e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.018 Order of pole = 589.5 TOP MAIN SOLVE Loop x[1] = -0.003 y[1] (analytic) = 10.200071198220765472066325929654 y[1] (numeric) = 10.20007119822076547206632592966 absolute error = 6e-30 relative error = 5.8823118813588293779153344520577e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.017 Order of pole = 589.5 TOP MAIN SOLVE Loop x[1] = -0.002 y[1] (analytic) = 10.2002723009931042857784258503 y[1] (numeric) = 10.200272300993104285778425850306 absolute error = 6e-30 relative error = 5.8821959090404249338464847068691e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.015 Order of pole = 589.5 TOP MAIN SOLVE Loop x[1] = -0.001 y[1] (analytic) = 10.200473505823265620527446177141 y[1] (numeric) = 10.200473505823265620527446177147 absolute error = 6e-30 relative error = 5.8820798824434068127691510559676e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.014 Order of pole = 589.5 TOP MAIN SOLVE Loop x[1] = 0 y[1] (analytic) = 10.200674812713373975699387403259 y[1] (numeric) = 10.200674812713373975699387403265 absolute error = 6e-30 relative error = 5.8819638015732443974268132959394e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.013 Order of pole = 589.5 TOP MAIN SOLVE Loop x[1] = 0.001 y[1] (analytic) = 10.200876221665555046507075907787 y[1] (numeric) = 10.200876221665555046507075907793 absolute error = 6e-30 relative error = 5.8818476664354093041217821928950e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.012 Order of pole = 589.4 TOP MAIN SOLVE Loop x[1] = 0.002 y[1] (analytic) = 10.201077732681935724203275407864 y[1] (numeric) = 10.20107773268193572420327540787 absolute error = 6e-30 relative error = 5.8817314770353753820056353777345e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.011 Order of pole = 589.4 TOP MAIN SOLVE Loop x[1] = 0.003 y[1] (analytic) = 10.201279345764644096293941628535 y[1] (numeric) = 10.201279345764644096293941628541 absolute error = 6e-30 relative error = 5.8816152333786187123694067911867e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.009 Order of pole = 589.4 TOP MAIN SOLVE Loop x[1] = 0.004 y[1] (analytic) = 10.201481060915809446751620253008 y[1] (numeric) = 10.201481060915809446751620253015 absolute error = 7e-30 relative error = 6.8617487580490538759224514593634e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.008 Order of pole = 589.4 TOP MAIN SOLVE Loop x[1] = 0.005 y[1] (analytic) = 10.201682878137562256228988215737 y[1] (numeric) = 10.201682878137562256228988215744 absolute error = 7e-30 relative error = 6.8616130138696613808271233315407e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.007 Order of pole = 589.4 TOP MAIN SOLVE Loop x[1] = 0.006 y[1] (analytic) = 10.201884797432034202272538400824 y[1] (numeric) = 10.201884797432034202272538400831 absolute error = 7e-30 relative error = 6.8614772064099409148344135988842e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.006 Order of pole = 589.4 TOP MAIN SOLVE Loop x[1] = 0.007 y[1] (analytic) = 10.202086818801358159536407808333 y[1] (numeric) = 10.20208681880135815953640780834 absolute error = 7e-30 relative error = 6.8613413356762916478144568595913e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.005 Order of pole = 589.4 memory used=278.4MB, alloc=4.5MB, time=11.90 TOP MAIN SOLVE Loop x[1] = 0.008 y[1] (analytic) = 10.202288942247668199996349251104 y[1] (numeric) = 10.202288942247668199996349251111 absolute error = 7e-30 relative error = 6.8612054016751153496552181588472e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.003 Order of pole = 589.3 TOP MAIN SOLVE Loop x[1] = 0.009 y[1] (analytic) = 10.202491167773099593163846644759 y[1] (numeric) = 10.202491167773099593163846644766 absolute error = 7e-30 relative error = 6.8610694044128163894326590446118e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.002 Order of pole = 589.3 TOP MAIN SOLVE Loop x[1] = 0.01 y[1] (analytic) = 10.202693495379788806300373953602 y[1] (numeric) = 10.202693495379788806300373953609 absolute error = 7e-30 relative error = 6.8609333438958017345806172722731e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8.001 Order of pole = 589.3 TOP MAIN SOLVE Loop x[1] = 0.011 y[1] (analytic) = 10.202895925069873504631797855195 y[1] (numeric) = 10.202895925069873504631797855203 absolute error = 8e-30 relative error = 7.8409111087205496572118860868788e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 8 Order of pole = 589.3 TOP MAIN SOLVE Loop x[1] = 0.012 y[1] (analytic) = 10.203098456845492551562924186434 y[1] (numeric) = 10.203098456845492551562924186442 absolute error = 8e-30 relative error = 7.8407554664265899400343919140756e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.999 Order of pole = 589.3 TOP MAIN SOLVE Loop x[1] = 0.013 y[1] (analytic) = 10.203301090708786008892188233991 y[1] (numeric) = 10.203301090708786008892188233999 absolute error = 8e-30 relative error = 7.8405997518635111251583756353396e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.997 Order of pole = 589.3 TOP MAIN SOLVE Loop x[1] = 0.014 y[1] (analytic) = 10.203503826661895137026488932062 y[1] (numeric) = 10.20350382666189513702648893207 absolute error = 8e-30 relative error = 7.8404439650386473297934583758567e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.996 Order of pole = 589.3 TOP MAIN SOLVE Loop x[1] = 0.015 y[1] (analytic) = 10.203706664706962395196167030396 y[1] (numeric) = 10.203706664706962395196167030404 absolute error = 8e-30 relative error = 7.8402881059593356359526730776473e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.995 Order of pole = 589.2 TOP MAIN SOLVE Loop x[1] = 0.016 y[1] (analytic) = 10.20390960484613144167012729563 y[1] (numeric) = 10.203909604846131441670127295638 absolute error = 8e-30 relative error = 7.8401321746329160895017960697713e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.994 Order of pole = 589.2 TOP MAIN SOLVE Loop x[1] = 0.017 y[1] (analytic) = 10.204112647081547133971104809025 y[1] (numeric) = 10.204112647081547133971104809033 absolute error = 8e-30 relative error = 7.8399761710667316992083527236942e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.993 Order of pole = 589.2 TOP MAIN SOLVE Loop x[1] = 0.018 y[1] (analytic) = 10.20431579141535552909107542373 y[1] (numeric) = 10.204315791415355529091075423738 absolute error = 8e-30 relative error = 7.8398200952681284357902973859043e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.992 Order of pole = 589.2 TOP MAIN SOLVE Loop memory used=282.3MB, alloc=4.5MB, time=12.06 x[1] = 0.019 y[1] (analytic) = 10.204519037849703883706810444771 y[1] (numeric) = 10.204519037849703883706810444779 absolute error = 8e-30 relative error = 7.8396639472444552309643677798965e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.99 Order of pole = 589.2 TOP MAIN SOLVE Loop x[1] = 0.02 y[1] (analytic) = 10.204722386386740654395575594992 y[1] (numeric) = 10.204722386386740654395575595 absolute error = 8e-30 relative error = 7.8395077270030639764941140696871e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.989 Order of pole = 589.2 TOP MAIN SOLVE Loop x[1] = 0.021 y[1] (analytic) = 10.204925837028615497850974330257 y[1] (numeric) = 10.204925837028615497850974330264 absolute error = 7e-30 relative error = 6.8594325052323958328329024299071e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.988 Order of pole = 589.2 TOP MAIN SOLVE Loop x[1] = 0.022 y[1] (analytic) = 10.20512938977747927109893556724 y[1] (numeric) = 10.205129389777479271098935567247 absolute error = 7e-30 relative error = 6.8592956861594809701704462765432e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.987 Order of pole = 589.1 TOP MAIN SOLVE Loop x[1] = 0.023 y[1] (analytic) = 10.205333044635484031713845887219 y[1] (numeric) = 10.205333044635484031713845887226 absolute error = 7e-30 relative error = 6.8591588039153770618602787952176e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.986 Order of pole = 589.1 TOP MAIN SOLVE Loop x[1] = 0.024 y[1] (analytic) = 10.205536801604783038034826279308 y[1] (numeric) = 10.205536801604783038034826279315 absolute error = 7e-30 relative error = 6.8590218585065273650239166901346e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.984 Order of pole = 589.1 TOP MAIN SOLVE Loop x[1] = 0.025 y[1] (analytic) = 10.205740660687530749382153486634 y[1] (numeric) = 10.205740660687530749382153486641 absolute error = 7e-30 relative error = 6.8588848499393777226547005232175e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.983 Order of pole = 589.1 TOP MAIN SOLVE Loop x[1] = 0.026 y[1] (analytic) = 10.205944621885882826273826019017 y[1] (numeric) = 10.205944621885882826273826019024 absolute error = 7e-30 relative error = 6.8587477782203765627831156502437e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.982 Order of pole = 589.1 TOP MAIN SOLVE Loop x[1] = 0.027 y[1] (analytic) = 10.206148685201996130642274895754 y[1] (numeric) = 10.206148685201996130642274895762 absolute error = 8e-30 relative error = 7.8384121638353998830192339012768e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.981 Order of pole = 589.1 TOP MAIN SOLVE Loop x[1] = 0.028 y[1] (analytic) = 10.206352850638028726051219182173 y[1] (numeric) = 10.20635285063802872605121918218 absolute error = 7e-30 relative error = 6.8584734453526263228304465101522e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.98 Order of pole = 589.1 TOP MAIN SOLVE Loop x[1] = 0.029 y[1] (analytic) = 10.206557118196139877912666383655 y[1] (numeric) = 10.206557118196139877912666383662 absolute error = 7e-30 relative error = 6.8583361842167870164799774522864e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.979 Order of pole = 589 TOP MAIN SOLVE Loop memory used=286.1MB, alloc=4.5MB, time=12.22 x[1] = 0.03 y[1] (analytic) = 10.206761487878490053704057760912 y[1] (numeric) = 10.206761487878490053704057760918 absolute error = 6e-30 relative error = 5.8784561656756420615003106066956e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.977 Order of pole = 589 TOP MAIN SOLVE Loop x[1] = 0.031 y[1] (analytic) = 10.206965959687240923185558630308 y[1] (numeric) = 10.206965959687240923185558630314 absolute error = 6e-30 relative error = 5.8783384050629775679951785170946e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.976 Order of pole = 589 TOP MAIN SOLVE Loop x[1] = 0.032 y[1] (analytic) = 10.207170533624555358617493713123 y[1] (numeric) = 10.207170533624555358617493713129 absolute error = 6e-30 relative error = 5.8782205903533644656467814938936e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.975 Order of pole = 589 TOP MAIN SOLVE Loop x[1] = 0.033 y[1] (analytic) = 10.207375209692597434977927597657 y[1] (numeric) = 10.207375209692597434977927597663 absolute error = 6e-30 relative error = 5.8781027215523454686514277383082e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.974 Order of pole = 589 TOP MAIN SOLVE Loop x[1] = 0.034 y[1] (analytic) = 10.207579987893532430180390378164 y[1] (numeric) = 10.20757998789353243018039037817 absolute error = 6e-30 relative error = 5.8779847986654655012193003110230e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.973 Order of pole = 589 TOP MAIN SOLVE Loop x[1] = 0.035 y[1] (analytic) = 10.207784868229526825291748534641 y[1] (numeric) = 10.207784868229526825291748534647 absolute error = 6e-30 relative error = 5.8778668216982716968568361836079e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.972 Order of pole = 589 TOP MAIN SOLVE Loop x[1] = 0.036 y[1] (analytic) = 10.207989850702748304750221117546 y[1] (numeric) = 10.207989850702748304750221117552 absolute error = 6e-30 relative error = 5.8777487906563133976488635954638e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.97 Order of pole = 589 TOP MAIN SOLVE Loop x[1] = 0.037 y[1] (analytic) = 10.208194935315365756583541301589 y[1] (numeric) = 10.208194935315365756583541301595 absolute error = 6e-30 relative error = 5.8776307055451421535404978608442e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.969 Order of pole = 588.9 TOP MAIN SOLVE Loop x[1] = 0.038 y[1] (analytic) = 10.208400122069549272627263372772 y[1] (numeric) = 10.208400122069549272627263372778 absolute error = 6e-30 relative error = 5.8775125663703117216187957705384e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.968 Order of pole = 588.9 TOP MAIN SOLVE Loop x[1] = 0.039 y[1] (analytic) = 10.208605410967470148743215212927 y[1] (numeric) = 10.208605410967470148743215212933 absolute error = 6e-30 relative error = 5.8773943731373780653941687328136e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.967 Order of pole = 588.9 TOP MAIN SOLVE Loop x[1] = 0.04 y[1] (analytic) = 10.208810802011300885038096346036 y[1] (numeric) = 10.208810802011300885038096346042 absolute error = 6e-30 relative error = 5.8772761258518993540815547982499e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.966 Order of pole = 588.9 TOP MAIN SOLVE Loop memory used=289.9MB, alloc=4.5MB, time=12.39 x[1] = 0.041 y[1] (analytic) = 10.20901629520321518608222161068 y[1] (numeric) = 10.209016295203215186082221610686 absolute error = 6e-30 relative error = 5.8771578245194359618813497131203e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.965 Order of pole = 588.9 TOP MAIN SOLVE Loop x[1] = 0.042 y[1] (analytic) = 10.209221890545387961128410523021 y[1] (numeric) = 10.209221890545387961128410523027 absolute error = 6e-30 relative error = 5.8770394691455504672600971459922e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.963 Order of pole = 588.9 TOP MAIN SOLVE Loop x[1] = 0.043 y[1] (analytic) = 10.209427588039995324331022394761 y[1] (numeric) = 10.209427588039995324331022394767 absolute error = 6e-30 relative error = 5.8769210597358076522309382322574e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.962 Order of pole = 588.9 TOP MAIN SOLVE Loop x[1] = 0.044 y[1] (analytic) = 10.209633387689214594965137270589 y[1] (numeric) = 10.209633387689214594965137270594 absolute error = 5e-30 relative error = 4.8973354969131454180281838177625e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.961 Order of pole = 588.9 TOP MAIN SOLVE Loop x[1] = 0.045 y[1] (analytic) = 10.209839289495224297645882749662 y[1] (numeric) = 10.209839289495224297645882749667 absolute error = 5e-30 relative error = 4.8972367323591835020128890759741e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.96 Order of pole = 588.8 TOP MAIN SOLVE Loop x[1] = 0.046 y[1] (analytic) = 10.21004529346020416254790675575 y[1] (numeric) = 10.210045293460204162547906755756 absolute error = 6e-30 relative error = 5.8765655073471161429091033152044e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.959 Order of pole = 588.8 TOP MAIN SOLVE Loop x[1] = 0.047 y[1] (analytic) = 10.210251399586335125624996320692 y[1] (numeric) = 10.210251399586335125624996320698 absolute error = 6e-30 relative error = 5.8764468818496359121139477259573e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.958 Order of pole = 588.8 TOP MAIN SOLVE Loop x[1] = 0.048 y[1] (analytic) = 10.210457607875799328829842445884 y[1] (numeric) = 10.21045760787579932882984244589 absolute error = 6e-30 relative error = 5.8763282023441552989744580207021e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.956 Order of pole = 588.8 TOP MAIN SOLVE Loop x[1] = 0.049 y[1] (analytic) = 10.210663918330780120333951106578 y[1] (numeric) = 10.210663918330780120333951106583 absolute error = 5e-30 relative error = 4.8968412240302102430494505114194e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.955 Order of pole = 588.8 TOP MAIN SOLVE Loop x[1] = 0.05 y[1] (analytic) = 10.210870330953462054747700463802 y[1] (numeric) = 10.210870330953462054747700463808 absolute error = 6e-30 relative error = 5.8760906813315070768403192600161e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.954 Order of pole = 588.8 TOP MAIN SOLVE Loop x[1] = 0.051 y[1] (analytic) = 10.211076845746030893340544348799 y[1] (numeric) = 10.211076845746030893340544348805 absolute error = 6e-30 relative error = 5.8759718398355020389706643557245e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.953 Order of pole = 588.8 TOP MAIN SOLVE Loop x[1] = 0.052 y[1] (analytic) = 10.211283462710673604261362084887 y[1] (numeric) = 10.211283462710673604261362084893 absolute error = 6e-30 relative error = 5.8758529443538217595634828595586e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.952 Order of pole = 588.8 memory used=293.7MB, alloc=4.5MB, time=12.55 TOP MAIN SOLVE Loop x[1] = 0.053 y[1] (analytic) = 10.211490181849578362758954711754 y[1] (numeric) = 10.21149018184957836275895471176 absolute error = 6e-30 relative error = 5.8757339948920530164697689808232e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.951 Order of pole = 588.7 TOP MAIN SOLVE Loop x[1] = 0.054 y[1] (analytic) = 10.211697003164934551402687677204 y[1] (numeric) = 10.21169700316493455140268767721 absolute error = 6e-30 relative error = 5.8756149914557847831562157786227e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.949 Order of pole = 588.7 TOP MAIN SOLVE Loop x[1] = 0.055 y[1] (analytic) = 10.211903926658932760303280061458 y[1] (numeric) = 10.211903926658932760303280061464 absolute error = 6e-30 relative error = 5.8754959340506082279827878173755e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.948 Order of pole = 588.7 TOP MAIN SOLVE Loop x[1] = 0.056 y[1] (analytic) = 10.212110952333764787333740399146 y[1] (numeric) = 10.212110952333764787333740399152 absolute error = 6e-30 relative error = 5.8753768226821167134800550236404e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.947 Order of pole = 588.7 TOP MAIN SOLVE Loop x[1] = 0.057 y[1] (analytic) = 10.212318080191623638350449164198 y[1] (numeric) = 10.212318080191623638350449164204 absolute error = 6e-30 relative error = 5.8752576573559057956262878893005e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.946 Order of pole = 588.7 TOP MAIN SOLVE Loop x[1] = 0.058 y[1] (analytic) = 10.212525310234703527414387982879 y[1] (numeric) = 10.212525310234703527414387982885 absolute error = 6e-30 relative error = 5.8751384380775732231243141661739e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.945 Order of pole = 588.7 TOP MAIN SOLVE Loop x[1] = 0.059 y[1] (analytic) = 10.212732642465199877012515640274 y[1] (numeric) = 10.212732642465199877012515640279 absolute error = 5e-30 relative error = 4.8958493040439324472317809976236e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.944 Order of pole = 588.7 TOP MAIN SOLVE Loop x[1] = 0.06 y[1] (analytic) = 10.212940076885309318279290945585 y[1] (numeric) = 10.212940076885309318279290945591 absolute error = 6e-30 relative error = 5.8748998376869450682693160289549e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.943 Order of pole = 588.7 TOP MAIN SOLVE Loop x[1] = 0.061 y[1] (analytic) = 10.213147613497229691218342521662 y[1] (numeric) = 10.213147613497229691218342521667 absolute error = 5e-30 relative error = 4.8956503804882132836942562097634e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.941 Order of pole = 588.7 TOP MAIN SOLVE Loop x[1] = 0.062 y[1] (analytic) = 10.213355252303160044924285584209 y[1] (numeric) = 10.213355252303160044924285584215 absolute error = 6e-30 relative error = 5.8746610215550580655343701104516e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.94 Order of pole = 588.6 TOP MAIN SOLVE Loop x[1] = 0.063 y[1] (analytic) = 10.213562993305300637804685776224 y[1] (numeric) = 10.21356299330530063780468577623 absolute error = 6e-30 relative error = 5.8745415326001601450432308337060e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.939 Order of pole = 588.6 TOP MAIN SOLVE Loop memory used=297.5MB, alloc=4.5MB, time=12.72 x[1] = 0.064 y[1] (analytic) = 10.21377083650585293780217012321 y[1] (numeric) = 10.213770836505852937802170123216 absolute error = 6e-30 relative error = 5.8744219897267730688105133245348e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.938 Order of pole = 588.6 TOP MAIN SOLVE Loop x[1] = 0.065 y[1] (analytic) = 10.213978781907019622616685174815 y[1] (numeric) = 10.213978781907019622616685174821 absolute error = 6e-30 relative error = 5.8743023929405099143429293590676e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.937 Order of pole = 588.6 TOP MAIN SOLVE Loop x[1] = 0.066 y[1] (analytic) = 10.214186829511004579927902398568 y[1] (numeric) = 10.214186829511004579927902398574 absolute error = 6e-30 relative error = 5.8741827422469859460780326379174e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.936 Order of pole = 588.6 TOP MAIN SOLVE Loop x[1] = 0.067 y[1] (analytic) = 10.214394979320012907617770891454 y[1] (numeric) = 10.21439497932001290761777089146 absolute error = 6e-30 relative error = 5.8740630376518186146589354357157e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.934 Order of pole = 588.6 TOP MAIN SOLVE Loop x[1] = 0.068 y[1] (analytic) = 10.214603231336250913993217475117 y[1] (numeric) = 10.214603231336250913993217475123 absolute error = 6e-30 relative error = 5.8739432791606275562087881940819e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.933 Order of pole = 588.6 TOP MAIN SOLVE Loop x[1] = 0.069 y[1] (analytic) = 10.214811585561926118008994240535 y[1] (numeric) = 10.214811585561926118008994240542 absolute error = 7e-30 relative error = 6.8527940445755403568725259039163e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.932 Order of pole = 588.6 TOP MAIN SOLVE Loop x[1] = 0.07 y[1] (analytic) = 10.215020041999247249490673608075 y[1] (numeric) = 10.215020041999247249490673608082 absolute error = 7e-30 relative error = 6.8526542005981076800455814381902e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.931 Order of pole = 588.6 TOP MAIN SOLVE Loop x[1] = 0.071 y[1] (analytic) = 10.215228600650424249357790968867 y[1] (numeric) = 10.215228600650424249357790968873 absolute error = 6e-30 relative error = 5.8735836803671411468615622541776e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.93 Order of pole = 588.5 TOP MAIN SOLVE Loop x[1] = 0.072 y[1] (analytic) = 10.215437261517668269847134973512 y[1] (numeric) = 10.215437261517668269847134973519 absolute error = 7e-30 relative error = 6.8523743240727777633318396397635e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.929 Order of pole = 588.5 TOP MAIN SOLVE Loop x[1] = 0.073 y[1] (analytic) = 10.215646024603191674736185534199 y[1] (numeric) = 10.215646024603191674736185534205 absolute error = 6e-30 relative error = 5.8733436784611565149399333381126e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.928 Order of pole = 588.5 TOP MAIN SOLVE Loop x[1] = 0.074 y[1] (analytic) = 10.215854889909208039566699606315 y[1] (numeric) = 10.215854889909208039566699606321 absolute error = 6e-30 relative error = 5.8732235967119577482965400946548e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.927 Order of pole = 588.5 TOP MAIN SOLVE Loop memory used=301.3MB, alloc=4.5MB, time=12.88 x[1] = 0.075 y[1] (analytic) = 10.216063857437932151868444815755 y[1] (numeric) = 10.216063857437932151868444815761 absolute error = 6e-30 relative error = 5.8731034611061338399317896623632e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.925 Order of pole = 588.5 TOP MAIN SOLVE Loop x[1] = 0.076 y[1] (analytic) = 10.216272927191580011383080998134 y[1] (numeric) = 10.21627292719158001138308099814 absolute error = 6e-30 relative error = 5.8729832716493218836620043472785e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.924 Order of pole = 588.5 TOP MAIN SOLVE Loop x[1] = 0.077 y[1] (analytic) = 10.216482099172368830288189716182 y[1] (numeric) = 10.216482099172368830288189716188 absolute error = 6e-30 relative error = 5.8728630283471611522432174007621e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.923 Order of pole = 588.5 TOP MAIN SOLVE Loop x[1] = 0.078 y[1] (analytic) = 10.216691373382517033421451821671 y[1] (numeric) = 10.216691373382517033421451821677 absolute error = 6e-30 relative error = 5.8727427312052930966432900437684e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.922 Order of pole = 588.5 TOP MAIN SOLVE Loop x[1] = 0.079 y[1] (analytic) = 10.216900749824244258504973128243 y[1] (numeric) = 10.216900749824244258504973128249 absolute error = 6e-30 relative error = 5.8726223802293613453137930344579e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.921 Order of pole = 588.5 TOP MAIN SOLVE Loop x[1] = 0.08 y[1] (analytic) = 10.217110228499771356369758261595 y[1] (numeric) = 10.217110228499771356369758261601 absolute error = 6e-30 relative error = 5.8725019754250117034616529247255e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.92 Order of pole = 588.4 TOP MAIN SOLVE Loop x[1] = 0.081 y[1] (analytic) = 10.217319809411320391180332753513 y[1] (numeric) = 10.217319809411320391180332753519 absolute error = 6e-30 relative error = 5.8723815167978921523205631512526e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.919 Order of pole = 588.4 TOP MAIN SOLVE Loop x[1] = 0.082 y[1] (analytic) = 10.217529492561114640659513446312 y[1] (numeric) = 10.217529492561114640659513446318 absolute error = 6e-30 relative error = 5.8722610043536528484221601067093e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.917 Order of pole = 588.4 TOP MAIN SOLVE Loop x[1] = 0.083 y[1] (analytic) = 10.217739277951378596313327274282 y[1] (numeric) = 10.217739277951378596313327274288 absolute error = 6e-30 relative error = 5.8721404380979461228669643367602e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.916 Order of pole = 588.4 TOP MAIN SOLVE Loop x[1] = 0.084 y[1] (analytic) = 10.217949165584337963656078488804 y[1] (numeric) = 10.21794916558433796365607848881 absolute error = 6e-30 relative error = 5.8720198180364264805950870085470e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.915 Order of pole = 588.4 TOP MAIN SOLVE Loop x[1] = 0.085 y[1] (analytic) = 10.218159155462219662435564393858 y[1] (numeric) = 10.218159155462219662435564393864 absolute error = 6e-30 relative error = 5.8718991441747505996567017963388e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.914 Order of pole = 588.4 TOP MAIN SOLVE Loop memory used=305.1MB, alloc=4.5MB, time=13.04 x[1] = 0.086 y[1] (analytic) = 10.218369247587251826858439658686 y[1] (numeric) = 10.218369247587251826858439658693 absolute error = 7e-30 relative error = 6.8504081526050068855626627184193e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.913 Order of pole = 588.4 TOP MAIN SOLVE Loop x[1] = 0.087 y[1] (analytic) = 10.218579441961663805815729274442 y[1] (numeric) = 10.218579441961663805815729274449 absolute error = 7e-30 relative error = 6.8502672409191623110113729112821e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.912 Order of pole = 588.4 TOP MAIN SOLVE Loop x[1] = 0.088 y[1] (analytic) = 10.218789738587686163108490221702 y[1] (numeric) = 10.218789738587686163108490221708 absolute error = 6e-30 relative error = 5.8715367998453848866685197308782e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.911 Order of pole = 588.4 TOP MAIN SOLVE Loop x[1] = 0.089 y[1] (analytic) = 10.219000137467550677673621915778 y[1] (numeric) = 10.219000137467550677673621915784 absolute error = 6e-30 relative error = 5.8714159108396942682204814684436e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.91 Order of pole = 588.4 TOP MAIN SOLVE Loop x[1] = 0.09 y[1] (analytic) = 10.219210638603490343809825496829 y[1] (numeric) = 10.219210638603490343809825496834 absolute error = 5e-30 relative error = 4.8927458067184694770482123853329e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.908 Order of pole = 588.3 TOP MAIN SOLVE Loop x[1] = 0.091 y[1] (analytic) = 10.219421241997739371403712031795 y[1] (numeric) = 10.2194212419977393714037120318 absolute error = 5e-30 relative error = 4.8926449762653849172983166277647e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.907 Order of pole = 588.3 TOP MAIN SOLVE Loop x[1] = 0.092 y[1] (analytic) = 10.219631947652533186156059695284 y[1] (numeric) = 10.219631947652533186156059695289 absolute error = 5e-30 relative error = 4.8925441010118847687458386769648e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.906 Order of pole = 588.3 TOP MAIN SOLVE Loop x[1] = 0.093 y[1] (analytic) = 10.219842755570108429808219996543 y[1] (numeric) = 10.219842755570108429808219996548 absolute error = 5e-30 relative error = 4.8924431809626973952570783433334e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.905 Order of pole = 588.3 TOP MAIN SOLVE Loop x[1] = 0.094 y[1] (analytic) = 10.220053665752702960368673119734 y[1] (numeric) = 10.220053665752702960368673119739 absolute error = 5e-30 relative error = 4.8923422161225529661431498551728e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.904 Order of pole = 588.3 TOP MAIN SOLVE Loop x[1] = 0.095 y[1] (analytic) = 10.220264678202555852339732444786 y[1] (numeric) = 10.220264678202555852339732444791 absolute error = 5e-30 relative error = 4.8922412064961834555500935882756e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.903 Order of pole = 588.3 TOP MAIN SOLVE Loop x[1] = 0.096 y[1] (analytic) = 10.220475792921907396944398316129 y[1] (numeric) = 10.220475792921907396944398316134 absolute error = 5e-30 relative error = 4.8921401520883226418487936465870e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.902 Order of pole = 588.3 TOP MAIN SOLVE Loop x[1] = 0.097 y[1] (analytic) = 10.220687009912999102353361126707 y[1] (numeric) = 10.220687009912999102353361126712 absolute error = 5e-30 relative error = 4.8920390529037061070247014155666e-29 % memory used=309.0MB, alloc=4.5MB, time=13.21 Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.901 Order of pole = 588.3 TOP MAIN SOLVE Loop x[1] = 0.098 y[1] (analytic) = 10.22089832917807369391215378468 y[1] (numeric) = 10.220898329178073693912153784685 absolute error = 5e-30 relative error = 4.8919379089470712360673652099092e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.899 Order of pole = 588.3 TOP MAIN SOLVE Loop x[1] = 0.099 y[1] (analytic) = 10.22110975071937511436845363032 y[1] (numeric) = 10.221109750719375114368453630325 absolute error = 5e-30 relative error = 4.8918367202231572163597661372868e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.898 Order of pole = 588.3 TOP MAIN SOLVE Loop x[1] = 0.1 y[1] (analytic) = 10.221321274539148524099533870633 y[1] (numeric) = 10.221321274539148524099533870638 absolute error = 5e-30 relative error = 4.8917354867367050370674602998037e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.897 Order of pole = 588.3 TOP MAIN SOLVE Loop x[1] = 0.101 y[1] (analytic) = 10.221532900639640301339864599308 y[1] (numeric) = 10.221532900639640301339864599313 absolute error = 5e-30 relative error = 4.8916342084924574885275274548672e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.896 Order of pole = 588.2 TOP MAIN SOLVE Loop x[1] = 0.102 y[1] (analytic) = 10.221744629023098042408863469647 y[1] (numeric) = 10.221744629023098042408863469652 absolute error = 5e-30 relative error = 4.8915328854951591616373262571978e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.895 Order of pole = 588.2 TOP MAIN SOLVE Loop x[1] = 0.103 y[1] (analytic) = 10.22195645969177056193879608818 y[1] (numeric) = 10.221956459691770561938796088185 absolute error = 5e-30 relative error = 4.8914315177495564472430562037210e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.894 Order of pole = 588.2 TOP MAIN SOLVE Loop x[1] = 0.104 y[1] (analytic) = 10.222168392647907893102826196742 y[1] (numeric) = 10.222168392647907893102826196746 absolute error = 4e-30 relative error = 3.9130640842083180284225011224746e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.893 Order of pole = 588.2 TOP MAIN SOLVE Loop x[1] = 0.105 y[1] (analytic) = 10.222380427893761287843215710808 y[1] (numeric) = 10.222380427893761287843215710813 absolute error = 5e-30 relative error = 4.8912286480324324154013312916490e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.892 Order of pole = 588.2 TOP MAIN SOLVE Loop x[1] = 0.106 y[1] (analytic) = 10.222592565431583217099674681995 y[1] (numeric) = 10.222592565431583217099674682 absolute error = 5e-30 relative error = 4.8911271460704128738848334175479e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.89 Order of pole = 588.2 TOP MAIN SOLVE Loop x[1] = 0.107 y[1] (analytic) = 10.222804805263627371037861252626 y[1] (numeric) = 10.222804805263627371037861252631 absolute error = 5e-30 relative error = 4.8910255993790924955019534149490e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.889 Order of pole = 588.2 TOP MAIN SOLVE Loop x[1] = 0.108 y[1] (analytic) = 10.223017147392148659278031670369 y[1] (numeric) = 10.223017147392148659278031670374 absolute error = 5e-30 relative error = 4.8909240079632266616647672900292e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.888 Order of pole = 588.2 TOP MAIN SOLVE Loop memory used=312.8MB, alloc=4.5MB, time=13.37 x[1] = 0.109 y[1] (analytic) = 10.223229591819403211123840430986 y[1] (numeric) = 10.223229591819403211123840430991 absolute error = 5e-30 relative error = 4.8908223718275725500615111406961e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.887 Order of pole = 588.2 TOP MAIN SOLVE Loop x[1] = 0.11 y[1] (analytic) = 10.223442138547648375791290617283 y[1] (numeric) = 10.223442138547648375791290617288 absolute error = 5e-30 relative error = 4.8907206909768891340437934318618e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.886 Order of pole = 588.2 TOP MAIN SOLVE Loop x[1] = 0.111 y[1] (analytic) = 10.223654787579142722637834502424 y[1] (numeric) = 10.223654787579142722637834502429 absolute error = 5e-30 relative error = 4.8906189654159371820136149481547e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.885 Order of pole = 588.2 TOP MAIN SOLVE Loop x[1] = 0.112 y[1] (analytic) = 10.223867538916146041391624485815 y[1] (numeric) = 10.223867538916146041391624485821 absolute error = 6e-30 relative error = 5.8686206341793751081722358551639e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.884 Order of pole = 588.1 TOP MAIN SOLVE Loop x[1] = 0.113 y[1] (analytic) = 10.22408039256091934238091442983 y[1] (numeric) = 10.224080392560919342380914429836 absolute error = 6e-30 relative error = 5.8684984562187356581159377921262e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.883 Order of pole = 588.1 TOP MAIN SOLVE Loop x[1] = 0.114 y[1] (analytic) = 10.224293348515724856763611465684 y[1] (numeric) = 10.22429334851572485676361146569 absolute error = 6e-30 relative error = 5.8683762246229256480954950243049e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.882 Order of pole = 588.1 TOP MAIN SOLVE Loop x[1] = 0.115 y[1] (analytic) = 10.224506406782826036756978336854 y[1] (numeric) = 10.224506406782826036756978336861 absolute error = 7e-30 relative error = 6.8462962626306110439206238456861e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.88 Order of pole = 588.1 TOP MAIN SOLVE Loop x[1] = 0.116 y[1] (analytic) = 10.224719567364487555867486348466 y[1] (numeric) = 10.224719567364487555867486348473 absolute error = 7e-30 relative error = 6.8461535339734625927964541948638e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.879 Order of pole = 588.1 TOP MAIN SOLVE Loop x[1] = 0.117 y[1] (analytic) = 10.224932830262975309120818991137 y[1] (numeric) = 10.224932830262975309120818991144 absolute error = 7e-30 relative error = 6.8460107427619813722216618535903e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.878 Order of pole = 588.1 TOP MAIN SOLVE Loop x[1] = 0.118 y[1] (analytic) = 10.225146195480556413292026307831 y[1] (numeric) = 10.225146195480556413292026307838 absolute error = 7e-30 relative error = 6.8458678890028500254014935110169e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.877 Order of pole = 588.1 TOP MAIN SOLVE Loop x[1] = 0.119 y[1] (analytic) = 10.225359663019499207135830072317 y[1] (numeric) = 10.225359663019499207135830072324 absolute error = 7e-30 relative error = 6.8457249727027537017366960012422e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.876 Order of pole = 588.1 TOP MAIN SOLVE Loop memory used=316.6MB, alloc=4.5MB, time=13.53 x[1] = 0.12 y[1] (analytic) = 10.225573232882073251617079847899 y[1] (numeric) = 10.225573232882073251617079847906 absolute error = 7e-30 relative error = 6.8455819938683800559629286553406e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.875 Order of pole = 588.1 TOP MAIN SOLVE Loop x[1] = 0.121 y[1] (analytic) = 10.22578690507054933014135999512 y[1] (numeric) = 10.225786905070549330141359995127 absolute error = 7e-30 relative error = 6.8454389525064192472899081094712e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.874 Order of pole = 588.1 TOP MAIN SOLVE Loop x[1] = 0.122 y[1] (analytic) = 10.226000679587199448785747697223 y[1] (numeric) = 10.22600067958719944878574769723 absolute error = 7e-30 relative error = 6.8452958486235639385402857399547e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.873 Order of pole = 588.1 TOP MAIN SOLVE Loop x[1] = 0.123 y[1] (analytic) = 10.226214556434296836529722072191 y[1] (numeric) = 10.226214556434296836529722072198 absolute error = 7e-30 relative error = 6.8451526822265092952882578962427e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.872 Order of pole = 588.1 TOP MAIN SOLVE Loop x[1] = 0.124 y[1] (analytic) = 10.226428535614115945486224440246 y[1] (numeric) = 10.226428535614115945486224440253 absolute error = 7e-30 relative error = 6.8450094533219529849979091027259e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.87 Order of pole = 588 TOP MAIN SOLVE Loop x[1] = 0.125 y[1] (analytic) = 10.226642617128932451132869815752 y[1] (numeric) = 10.226642617128932451132869815759 absolute error = 7e-30 relative error = 6.8448661619165951761612884003436e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.869 Order of pole = 588 TOP MAIN SOLVE Loop x[1] = 0.126 y[1] (analytic) = 10.226856800981023252543309692519 y[1] (numeric) = 10.226856800981023252543309692526 absolute error = 7e-30 relative error = 6.8447228080171385374362189989859e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.868 Order of pole = 588 TOP MAIN SOLVE Loop x[1] = 0.127 y[1] (analytic) = 10.227071087172666472618746191554 y[1] (numeric) = 10.227071087172666472618746191562 absolute error = 8e-30 relative error = 7.8223764475774722706101044705211e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.867 Order of pole = 588 TOP MAIN SOLVE Loop x[1] = 0.128 y[1] (analytic) = 10.227285475706141458319597640381 y[1] (numeric) = 10.227285475706141458319597640388 absolute error = 7e-30 relative error = 6.8444359127627519406058902417711e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.866 Order of pole = 588 TOP MAIN SOLVE Loop x[1] = 0.129 y[1] (analytic) = 10.227499966583728780897315653074 y[1] (numeric) = 10.227499966583728780897315653081 absolute error = 7e-30 relative error = 6.8442923714212398128817047936276e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.865 Order of pole = 588 TOP MAIN SOLVE Loop x[1] = 0.13 y[1] (analytic) = 10.227714559807710236126353780255 y[1] (numeric) = 10.227714559807710236126353780263 absolute error = 8e-30 relative error = 7.8218843058428165877771127758183e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.864 Order of pole = 588 TOP MAIN SOLVE Loop memory used=320.4MB, alloc=4.5MB, time=13.70 x[1] = 0.131 y[1] (analytic) = 10.227929255380368844536287798314 y[1] (numeric) = 10.227929255380368844536287798321 absolute error = 7e-30 relative error = 6.8440051013431412014202135881353e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.863 Order of pole = 588 TOP MAIN SOLVE Loop x[1] = 0.132 y[1] (analytic) = 10.228144053303988851644087707187 y[1] (numeric) = 10.228144053303988851644087707194 absolute error = 7e-30 relative error = 6.8438613726199875257589824006572e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.862 Order of pole = 588 TOP MAIN SOLVE Loop x[1] = 0.133 y[1] (analytic) = 10.228358953580855728186541506105 y[1] (numeric) = 10.228358953580855728186541506112 absolute error = 7e-30 relative error = 6.8437175814497236329758268016044e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.86 Order of pole = 588 TOP MAIN SOLVE Loop x[1] = 0.134 y[1] (analytic) = 10.228573956213256170352830816741 y[1] (numeric) = 10.228573956213256170352830816747 absolute error = 6e-30 relative error = 5.8659203381477761388433982109213e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.859 Order of pole = 588 TOP MAIN SOLVE Loop x[1] = 0.135 y[1] (analytic) = 10.228789061203478100017258423267 y[1] (numeric) = 10.228789061203478100017258423274 absolute error = 7e-30 relative error = 6.8434298117947582440907017736616e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.858 Order of pole = 588 TOP MAIN SOLVE Loop x[1] = 0.136 y[1] (analytic) = 10.229004268553810664972127798901 y[1] (numeric) = 10.229004268553810664972127798908 absolute error = 7e-30 relative error = 6.8432858333235095021325848450037e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.857 Order of pole = 587.9 TOP MAIN SOLVE Loop x[1] = 0.137 y[1] (analytic) = 10.229219578266544239160774688533 y[1] (numeric) = 10.22921957826654423916077468854 absolute error = 7e-30 relative error = 6.8431417924320560496102880382206e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.856 Order of pole = 587.9 TOP MAIN SOLVE Loop x[1] = 0.138 y[1] (analytic) = 10.229434990343970422910750817138 y[1] (numeric) = 10.229434990343970422910750817145 absolute error = 7e-30 relative error = 6.8429976891271304898232361098099e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.855 Order of pole = 587.9 TOP MAIN SOLVE Loop x[1] = 0.139 y[1] (analytic) = 10.22965050478838204316715979369 y[1] (numeric) = 10.229650504788382043167159793697 absolute error = 7e-30 relative error = 6.8428535234154679150039625913053e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.854 Order of pole = 587.9 TOP MAIN SOLVE Loop x[1] = 0.14 y[1] (analytic) = 10.229866121602073153726145280377 y[1] (numeric) = 10.229866121602073153726145280384 absolute error = 7e-30 relative error = 6.8427092953038059054522037596691e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.853 Order of pole = 587.9 TOP MAIN SOLVE Loop x[1] = 0.141 y[1] (analytic) = 10.230081840787339035468531496959 y[1] (numeric) = 10.230081840787339035468531496966 absolute error = 7e-30 relative error = 6.8425650047988845286687284860845e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.852 Order of pole = 587.9 TOP MAIN SOLVE Loop memory used=324.2MB, alloc=4.5MB, time=13.86 x[1] = 0.142 y[1] (analytic) = 10.230297662346476196593616130182 y[1] (numeric) = 10.230297662346476196593616130189 absolute error = 7e-30 relative error = 6.8424206519074463384889041344986e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.851 Order of pole = 587.9 TOP MAIN SOLVE Loop x[1] = 0.143 y[1] (analytic) = 10.230513586281782372853115718208 y[1] (numeric) = 10.230513586281782372853115718214 absolute error = 6e-30 relative error = 5.8648082028310597493279988696796e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.849 Order of pole = 587.9 TOP MAIN SOLVE Loop x[1] = 0.144 y[1] (analytic) = 10.23072961259555652778526358007 y[1] (numeric) = 10.230729612595556527785263580076 absolute error = 6e-30 relative error = 5.8646843648502875655036164807025e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.848 Order of pole = 587.9 TOP MAIN SOLVE Loop x[1] = 0.145 y[1] (analytic) = 10.23094574129009885294906036025 y[1] (numeric) = 10.230945741290098852949060360256 absolute error = 6e-30 relative error = 5.8645604734127088880641317784658e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.847 Order of pole = 587.9 TOP MAIN SOLVE Loop x[1] = 0.146 y[1] (analytic) = 10.231161972367710768158677258494 y[1] (numeric) = 10.2311619723677107681586772585 absolute error = 6e-30 relative error = 5.8644365285241115660130996036376e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.846 Order of pole = 587.9 TOP MAIN SOLVE Loop x[1] = 0.147 y[1] (analytic) = 10.231378305830694921718012015066 y[1] (numeric) = 10.231378305830694921718012015072 absolute error = 6e-30 relative error = 5.8643125301902855757813388517726e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.845 Order of pole = 587.9 TOP MAIN SOLVE Loop x[1] = 0.148 y[1] (analytic) = 10.231594741681355190655397721691 y[1] (numeric) = 10.231594741681355190655397721696 absolute error = 5e-30 relative error = 4.8868237320141858504024335825613e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.844 Order of pole = 587.9 TOP MAIN SOLVE Loop x[1] = 0.149 y[1] (analytic) = 10.231811279921996680958464528482 y[1] (numeric) = 10.231811279921996680958464528488 absolute error = 6e-30 relative error = 5.8640643732101181291709292137384e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.843 Order of pole = 587.9 TOP MAIN SOLVE Loop x[1] = 0.15 y[1] (analytic) = 10.232027920554925727809154317237 y[1] (numeric) = 10.232027920554925727809154317242 absolute error = 5e-30 relative error = 4.8866168454794727134108357499215e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.842 Order of pole = 587.8 TOP MAIN SOLVE Loop x[1] = 0.151 y[1] (analytic) = 10.232244663582449895818888411496 y[1] (numeric) = 10.232244663582449895818888411501 absolute error = 5e-30 relative error = 4.8865133354321407332888694343825e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.841 Order of pole = 587.8 TOP MAIN SOLVE Loop x[1] = 0.152 y[1] (analytic) = 10.232461509006877979263888393872 y[1] (numeric) = 10.232461509006877979263888393877 absolute error = 5e-30 relative error = 4.8864097808712696692785874594426e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.84 Order of pole = 587.8 TOP MAIN SOLVE Loop x[1] = 0.153 y[1] (analytic) = 10.232678456830520002320650101162 y[1] (numeric) = 10.232678456830520002320650101167 absolute error = 5e-30 relative error = 4.8863061818016951258485483313396e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.839 Order of pole = 587.8 memory used=328.0MB, alloc=4.5MB, time=14.03 TOP MAIN SOLVE Loop x[1] = 0.154 y[1] (analytic) = 10.232895507055687219301570867851 y[1] (numeric) = 10.232895507055687219301570867856 absolute error = 5e-30 relative error = 4.8862025382282544759793559554286e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.837 Order of pole = 587.8 TOP MAIN SOLVE Loop x[1] = 0.155 y[1] (analytic) = 10.233112659684692114890730088655 y[1] (numeric) = 10.23311265968469211489073008866 absolute error = 5e-30 relative error = 4.8860988501557868605423383136767e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.836 Order of pole = 587.8 TOP MAIN SOLVE Loop x[1] = 0.156 y[1] (analytic) = 10.233329914719848404379823170811 y[1] (numeric) = 10.233329914719848404379823170816 absolute error = 5e-30 relative error = 4.8859951175891331876780393214416e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.835 Order of pole = 587.8 TOP MAIN SOLVE Loop x[1] = 0.157 y[1] (analytic) = 10.233547272163471033904248946885 y[1] (numeric) = 10.23354727216347103390424894689 absolute error = 5e-30 relative error = 4.8858913405331361321745239861606e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.834 Order of pole = 587.8 TOP MAIN SOLVE Loop x[1] = 0.158 y[1] (analytic) = 10.23376473201787618067935061892 y[1] (numeric) = 10.233764732017876180679350618925 absolute error = 5e-30 relative error = 4.8857875189926401348454969905922e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.833 Order of pole = 587.8 TOP MAIN SOLVE Loop x[1] = 0.159 y[1] (analytic) = 10.233982294285381253236810304811 y[1] (numeric) = 10.233982294285381253236810304816 absolute error = 5e-30 relative error = 4.8856836529724914019082348232682e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.832 Order of pole = 587.8 TOP MAIN SOLVE Loop x[1] = 0.16 y[1] (analytic) = 10.23419995896830489166119725784 y[1] (numeric) = 10.234199958968304891661197257845 absolute error = 5e-30 relative error = 4.8855797424775379043613315788298e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.831 Order of pole = 587.8 TOP MAIN SOLVE Loop x[1] = 0.161 y[1] (analytic) = 10.234417726068966967826669830384 y[1] (numeric) = 10.234417726068966967826669830389 absolute error = 5e-30 relative error = 4.8854757875126293773622585509307e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.83 Order of pole = 587.8 TOP MAIN SOLVE Loop x[1] = 0.162 y[1] (analytic) = 10.234635595589688585633831252837 y[1] (numeric) = 10.234635595589688585633831252841 absolute error = 4e-30 relative error = 3.9082974304660938556837901923320e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.829 Order of pole = 587.8 TOP MAIN SOLVE Loop x[1] = 0.163 y[1] (analytic) = 10.234853567532792081246739298869 y[1] (numeric) = 10.234853567532792081246739298874 absolute error = 5e-30 relative error = 4.8852677441923549926959294014843e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.828 Order of pole = 587.8 TOP MAIN SOLVE Loop x[1] = 0.164 y[1] (analytic) = 10.235071641900601023330069908203 y[1] (numeric) = 10.235071641900601023330069908208 absolute error = 5e-30 relative error = 4.8851636558466974205334337485810e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.827 Order of pole = 587.7 TOP MAIN SOLVE Loop memory used=331.8MB, alloc=4.5MB, time=14.19 x[1] = 0.165 y[1] (analytic) = 10.235289818695440213286434838121 y[1] (numeric) = 10.235289818695440213286434838126 absolute error = 5e-30 relative error = 4.8850595230505013886821069467446e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.826 Order of pole = 587.7 TOP MAIN SOLVE Loop x[1] = 0.166 y[1] (analytic) = 10.235508097919635685493853415009 y[1] (numeric) = 10.235508097919635685493853415013 absolute error = 4e-30 relative error = 3.9079642766469003550005532065525e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.824 Order of pole = 587.7 TOP MAIN SOLVE Loop x[1] = 0.167 y[1] (analytic) = 10.235726479575514707543378457273 y[1] (numeric) = 10.235726479575514707543378457277 absolute error = 4e-30 relative error = 3.9078808993007439142146089743182e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.823 Order of pole = 587.7 TOP MAIN SOLVE Loop x[1] = 0.168 y[1] (analytic) = 10.235944963665405780476876441048 y[1] (numeric) = 10.235944963665405780476876441052 absolute error = 4e-30 relative error = 3.9077974864058214420483845687867e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.822 Order of pole = 587.7 TOP MAIN SOLVE Loop x[1] = 0.169 y[1] (analytic) = 10.236163550191638639024961980143 y[1] (numeric) = 10.236163550191638639024961980147 absolute error = 4e-30 relative error = 3.9077140379660239993005438597464e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.821 Order of pole = 587.7 TOP MAIN SOLVE Loop x[1] = 0.17 y[1] (analytic) = 10.236382239156544251845086691767 y[1] (numeric) = 10.236382239156544251845086691771 absolute error = 4e-30 relative error = 3.9076305539852440536085942781939e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.82 Order of pole = 587.7 TOP MAIN SOLVE Loop x[1] = 0.171 y[1] (analytic) = 10.236601030562454821759782519598 y[1] (numeric) = 10.236601030562454821759782519603 absolute error = 5e-30 relative error = 4.8844337930842193486868127900644e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.819 Order of pole = 587.7 TOP MAIN SOLVE Loop x[1] = 0.172 y[1] (analytic) = 10.236819924411703785995059585852 y[1] (numeric) = 10.236819924411703785995059585856 absolute error = 4e-30 relative error = 3.9074634794163135551398486363608e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.818 Order of pole = 587.7 TOP MAIN SOLVE Loop x[1] = 0.173 y[1] (analytic) = 10.237038920706625816418958644027 y[1] (numeric) = 10.237038920706625816418958644031 absolute error = 4e-30 relative error = 3.9073798888359549673366166562490e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.817 Order of pole = 587.7 TOP MAIN SOLVE Loop x[1] = 0.174 y[1] (analytic) = 10.237258019449556819780258204106 y[1] (numeric) = 10.237258019449556819780258204111 absolute error = 5e-30 relative error = 4.8841203284127472569209897012016e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.816 Order of pole = 587.7 TOP MAIN SOLVE Loop x[1] = 0.175 y[1] (analytic) = 10.237477220642833937947336402013 y[1] (numeric) = 10.237477220642833937947336402018 absolute error = 5e-30 relative error = 4.8840157513786769550969927340965e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.815 Order of pole = 587.7 TOP MAIN SOLVE Loop memory used=335.7MB, alloc=4.5MB, time=14.36 x[1] = 0.176 y[1] (analytic) = 10.237696524288795548147187685201 y[1] (numeric) = 10.237696524288795548147187685205 absolute error = 4e-30 relative error = 3.9071289039580871411362519106342e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.814 Order of pole = 587.7 TOP MAIN SOLVE Loop x[1] = 0.177 y[1] (analytic) = 10.237915930389781263204594386306 y[1] (numeric) = 10.23791593038978126320459438631 absolute error = 4e-30 relative error = 3.9070451712995368382296782222930e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.813 Order of pole = 587.7 TOP MAIN SOLVE Loop x[1] = 0.178 y[1] (analytic) = 10.238135438948131931781453256863 y[1] (numeric) = 10.238135438948131931781453256868 absolute error = 5e-30 relative error = 4.8837017539139929496425025136097e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.811 Order of pole = 587.7 TOP MAIN SOLVE Loop x[1] = 0.179 y[1] (analytic) = 10.238355049966189638616257033125 y[1] (numeric) = 10.23835504996618963861625703313 absolute error = 5e-30 relative error = 4.8835969993212060153549385584041e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.81 Order of pole = 587.7 TOP MAIN SOLVE Loop x[1] = 0.18 y[1] (analytic) = 10.23857476344629770476373110609 y[1] (numeric) = 10.238574763446297704763731106095 absolute error = 5e-30 relative error = 4.8834922003509433805901087089862e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.809 Order of pole = 587.6 TOP MAIN SOLVE Loop x[1] = 0.181 y[1] (analytic) = 10.238794579390800687834625367921 y[1] (numeric) = 10.238794579390800687834625367926 absolute error = 5e-30 relative error = 4.8833873570080899326848703270781e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.808 Order of pole = 587.6 TOP MAIN SOLVE Loop x[1] = 0.182 y[1] (analytic) = 10.239014497802044382235661306967 y[1] (numeric) = 10.239014497802044382235661306972 absolute error = 5e-30 relative error = 4.8832824692975323100209129428758e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.807 Order of pole = 587.6 TOP MAIN SOLVE Loop x[1] = 0.183 y[1] (analytic) = 10.239234518682375819409634423681 y[1] (numeric) = 10.239234518682375819409634423686 absolute error = 5e-30 relative error = 4.8831775372241589013982523538953e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.806 Order of pole = 587.6 TOP MAIN SOLVE Loop x[1] = 0.184 y[1] (analytic) = 10.239454642034143268075672039773 y[1] (numeric) = 10.239454642034143268075672039778 absolute error = 5e-30 relative error = 4.8830725607928598454085413421940e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.805 Order of pole = 587.6 TOP MAIN SOLVE Loop x[1] = 0.185 y[1] (analytic) = 10.239674867859696234469646573004 y[1] (numeric) = 10.239674867859696234469646573008 absolute error = 4e-30 relative error = 3.9063740320068216238465577063977e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.804 Order of pole = 587.6 TOP MAIN SOLVE Loop x[1] = 0.186 y[1] (analytic) = 10.239895196161385462584744350081 y[1] (numeric) = 10.239895196161385462584744350085 absolute error = 4e-30 relative error = 3.9062899799008432727130765742183e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.803 Order of pole = 587.6 TOP MAIN SOLVE Loop memory used=339.5MB, alloc=4.5MB, time=14.52 x[1] = 0.187 y[1] (analytic) = 10.240115626941562934412190030182 y[1] (numeric) = 10.240115626941562934412190030187 absolute error = 5e-30 relative error = 4.8827573654003364128625831648107e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.802 Order of pole = 587.6 TOP MAIN SOLVE Loop x[1] = 0.188 y[1] (analytic) = 10.240336160202581870182126711681 y[1] (numeric) = 10.240336160202581870182126711686 absolute error = 5e-30 relative error = 4.8826522115862711272095540403768e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.801 Order of pole = 587.6 TOP MAIN SOLVE Loop x[1] = 0.189 y[1] (analytic) = 10.240556795946796728604651794713 y[1] (numeric) = 10.240556795946796728604651794718 absolute error = 5e-30 relative error = 4.8825470134387571120753470635338e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.8 Order of pole = 587.6 TOP MAIN SOLVE Loop x[1] = 0.19 y[1] (analytic) = 10.240777534176563207111008672291 y[1] (numeric) = 10.240777534176563207111008672296 absolute error = 5e-30 relative error = 4.8824417709626949916307081177126e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.799 Order of pole = 587.6 TOP MAIN SOLVE Loop x[1] = 0.191 y[1] (analytic) = 10.240998374894238242094934322718 y[1] (numeric) = 10.240998374894238242094934322723 absolute error = 5e-30 relative error = 4.8823364841629871354460707421576e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.797 Order of pole = 587.6 TOP MAIN SOLVE Loop x[1] = 0.192 y[1] (analytic) = 10.241219318102180009154162876118 y[1] (numeric) = 10.241219318102180009154162876123 absolute error = 5e-30 relative error = 4.8822311530445376578634042263650e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.796 Order of pole = 587.6 TOP MAIN SOLVE Loop x[1] = 0.193 y[1] (analytic) = 10.241440363802747923332085227965 y[1] (numeric) = 10.241440363802747923332085227971 absolute error = 6e-30 relative error = 5.8585509331347029008414553167821e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.795 Order of pole = 587.6 TOP MAIN SOLVE Loop x[1] = 0.194 y[1] (analytic) = 10.241661511998302639359564772544 y[1] (numeric) = 10.24166151199830263935956477255 absolute error = 6e-30 relative error = 5.8584244294452468191512229472075e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.794 Order of pole = 587.6 TOP MAIN SOLVE Loop x[1] = 0.195 y[1] (analytic) = 10.241882762691206051896909329335 y[1] (numeric) = 10.241882762691206051896909329341 absolute error = 6e-30 relative error = 5.8582978725909681582283995436672e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.793 Order of pole = 587.6 TOP MAIN SOLVE Loop x[1] = 0.196 y[1] (analytic) = 10.242104115883821295775999335385 y[1] (numeric) = 10.242104115883821295775999335391 absolute error = 6e-30 relative error = 5.8581712625777602226445246319868e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.792 Order of pole = 587.5 TOP MAIN SOLVE Loop x[1] = 0.197 y[1] (analytic) = 10.242325571578512746242572376776 y[1] (numeric) = 10.242325571578512746242572376781 absolute error = 5e-30 relative error = 4.8817038328429320057706593592914e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.791 Order of pole = 587.5 TOP MAIN SOLVE Loop memory used=343.3MB, alloc=4.5MB, time=14.69 x[1] = 0.198 y[1] (analytic) = 10.242547129777646019198664132362 y[1] (numeric) = 10.242547129777646019198664132368 absolute error = 6e-30 relative error = 5.8579178830981401947929534118058e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.79 Order of pole = 587.5 TOP MAIN SOLVE Loop x[1] = 0.199 y[1] (analytic) = 10.242768790483587971445205803023 y[1] (numeric) = 10.242768790483587971445205803028 absolute error = 5e-30 relative error = 4.8814925947029376320133466775461e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.789 Order of pole = 587.5 TOP MAIN SOLVE Loop x[1] = 0.2 y[1] (analytic) = 10.242990553698706700924778099701 y[1] (numeric) = 10.242990553698706700924778099707 absolute error = 6e-30 relative error = 5.8576642910535749576487066654011e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.788 Order of pole = 587.5 TOP MAIN SOLVE Loop x[1] = 0.201 y[1] (analytic) = 10.243212419425371546964521863612 y[1] (numeric) = 10.243212419425371546964521863617 absolute error = 5e-30 relative error = 4.8812811794451611160647752231123e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.787 Order of pole = 587.5 TOP MAIN SOLVE Loop x[1] = 0.202 y[1] (analytic) = 10.243434387665953090519205392003 y[1] (numeric) = 10.243434387665953090519205392008 absolute error = 5e-30 relative error = 4.8811754054094051135548383885758e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.786 Order of pole = 587.5 TOP MAIN SOLVE Loop x[1] = 0.203 y[1] (analytic) = 10.243656458422823154414448542968 y[1] (numeric) = 10.243656458422823154414448542973 absolute error = 5e-30 relative error = 4.8810695871089677224962395695550e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.785 Order of pole = 587.5 TOP MAIN SOLVE Loop x[1] = 0.204 y[1] (analytic) = 10.243878631698354803590103692824 y[1] (numeric) = 10.243878631698354803590103692829 absolute error = 5e-30 relative error = 4.8809637245487739454273040370477e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.784 Order of pole = 587.5 TOP MAIN SOLVE Loop x[1] = 0.205 y[1] (analytic) = 10.244100907494922345343793619662 y[1] (numeric) = 10.244100907494922345343793619667 absolute error = 5e-30 relative error = 4.8808578177337505214753759580526e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.782 Order of pole = 587.5 TOP MAIN SOLVE Loop x[1] = 0.206 y[1] (analytic) = 10.244323285814901329574606386712 y[1] (numeric) = 10.244323285814901329574606386717 absolute error = 5e-30 relative error = 4.8807518666688259257261258673478e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.781 Order of pole = 587.5 TOP MAIN SOLVE Loop x[1] = 0.207 y[1] (analytic) = 10.244545766660668549026947299242 y[1] (numeric) = 10.244545766660668549026947299247 absolute error = 5e-30 relative error = 4.8806458713589303685926775906992e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.78 Order of pole = 587.5 TOP MAIN SOLVE Loop x[1] = 0.208 y[1] (analytic) = 10.244768350034602039534548008764 y[1] (numeric) = 10.244768350034602039534548008769 absolute error = 5e-30 relative error = 4.8805398318089957951845547428271e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.779 Order of pole = 587.5 TOP MAIN SOLVE Loop x[1] = 0.209 y[1] (analytic) = 10.244991035939081080264632838376 y[1] (numeric) = 10.244991035939081080264632838381 absolute error = 5e-30 relative error = 4.8804337480239558846764469234794e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.778 Order of pole = 587.5 memory used=347.1MB, alloc=4.5MB, time=14.85 TOP MAIN SOLVE Loop x[1] = 0.21 y[1] (analytic) = 10.245213824376486193962242403138 y[1] (numeric) = 10.245213824376486193962242403142 absolute error = 4e-30 relative error = 3.9042620960069968397414365879710e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.777 Order of pole = 587.5 TOP MAIN SOLVE Loop x[1] = 0.211 y[1] (analytic) = 10.24543671534919914719471459943 y[1] (numeric) = 10.245436715349199147194714599434 absolute error = 4e-30 relative error = 3.9041771582146427484769605956086e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.776 Order of pole = 587.5 TOP MAIN SOLVE Loop x[1] = 0.212 y[1] (analytic) = 10.245659708859602950596323037314 y[1] (numeric) = 10.245659708859602950596323037319 absolute error = 5e-30 relative error = 4.8801152313075669200156455148448e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.775 Order of pole = 587.5 TOP MAIN SOLVE Loop x[1] = 0.213 y[1] (analytic) = 10.245882804910081859113072989967 y[1] (numeric) = 10.245882804910081859113072989972 absolute error = 5e-30 relative error = 4.8800089706314771120545438263604e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.774 Order of pole = 587.5 TOP MAIN SOLVE Loop x[1] = 0.214 y[1] (analytic) = 10.246106003503021372247654934318 y[1] (numeric) = 10.246106003503021372247654934323 absolute error = 5e-30 relative error = 4.8799026657449763517386062143083e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.773 Order of pole = 587.5 TOP MAIN SOLVE Loop x[1] = 0.215 y[1] (analytic) = 10.246329304640808234304555757093 y[1] (numeric) = 10.246329304640808234304555757097 absolute error = 4e-30 relative error = 3.9038370533224069674940215555255e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.772 Order of pole = 587.4 TOP MAIN SOLVE Loop x[1] = 0.216 y[1] (analytic) = 10.246552708325830434635327700513 y[1] (numeric) = 10.246552708325830434635327700517 absolute error = 4e-30 relative error = 3.9037519386884159879059932402495e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.771 Order of pole = 587.4 TOP MAIN SOLVE Loop x[1] = 0.217 y[1] (analytic) = 10.246776214560477207884015121971 y[1] (numeric) = 10.246776214560477207884015121975 absolute error = 4e-30 relative error = 3.9036667886979661657868040451063e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.77 Order of pole = 587.4 TOP MAIN SOLVE Loop x[1] = 0.218 y[1] (analytic) = 10.246999823347139034232739142051 y[1] (numeric) = 10.246999823347139034232739142056 absolute error = 5e-30 relative error = 4.8794770041937711337465410092064e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.769 Order of pole = 587.4 TOP MAIN SOLVE Loop x[1] = 0.219 y[1] (analytic) = 10.247223534688207639647440255342 y[1] (numeric) = 10.247223534688207639647440255347 absolute error = 5e-30 relative error = 4.8793704783294112494905114413336e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.768 Order of pole = 587.4 TOP MAIN SOLVE Loop x[1] = 0.22 y[1] (analytic) = 10.247447348586075996123778978526 y[1] (numeric) = 10.247447348586075996123778978531 absolute error = 5e-30 relative error = 4.8792639082843307666440578907202e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.766 Order of pole = 587.4 TOP MAIN SOLVE Loop memory used=350.9MB, alloc=4.5MB, time=15.01 x[1] = 0.221 y[1] (analytic) = 10.247671265043138321933194610315 y[1] (numeric) = 10.24767126504313832193319461032 absolute error = 5e-30 relative error = 4.8791572940634841238621635993499e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.765 Order of pole = 587.4 TOP MAIN SOLVE Loop x[1] = 0.222 y[1] (analytic) = 10.247895284061790081869122177848 y[1] (numeric) = 10.247895284061790081869122177853 absolute error = 5e-30 relative error = 4.8790506356718274856425870145472e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.764 Order of pole = 587.4 TOP MAIN SOLVE Loop x[1] = 0.223 y[1] (analytic) = 10.248119405644427987493367644227 y[1] (numeric) = 10.248119405644427987493367644231 absolute error = 4e-30 relative error = 3.9031551464914549933536933731946e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.763 Order of pole = 587.4 TOP MAIN SOLVE Loop x[1] = 0.224 y[1] (analytic) = 10.248343629793449997382641451928 y[1] (numeric) = 10.248343629793449997382641451932 absolute error = 4e-30 relative error = 3.9030697491167340050341183163773e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.762 Order of pole = 587.4 TOP MAIN SOLVE Loop x[1] = 0.225 y[1] (analytic) = 10.248567956511255317375250476907 y[1] (numeric) = 10.248567956511255317375250476911 absolute error = 4e-30 relative error = 3.9029843164172680941336644018994e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.761 Order of pole = 587.4 TOP MAIN SOLVE Loop x[1] = 0.226 y[1] (analytic) = 10.248792385800244400817948468237 y[1] (numeric) = 10.248792385800244400817948468242 absolute error = 5e-30 relative error = 4.8786235604962846373450391960248e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.76 Order of pole = 587.4 TOP MAIN SOLVE Loop x[1] = 0.227 y[1] (analytic) = 10.24901691766281894881294504822 y[1] (numeric) = 10.249016917662818948812945048225 absolute error = 5e-30 relative error = 4.8785166813249808495284152108746e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.759 Order of pole = 587.4 TOP MAIN SOLVE Loop x[1] = 0.228 y[1] (analytic) = 10.249241552101381910465073347944 y[1] (numeric) = 10.249241552101381910465073347949 absolute error = 5e-30 relative error = 4.8784097580126402604567302686448e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.758 Order of pole = 587.4 TOP MAIN SOLVE Loop x[1] = 0.229 y[1] (analytic) = 10.249466289118337483129116353341 y[1] (numeric) = 10.249466289118337483129116353346 absolute error = 5e-30 relative error = 4.8783027905642310977723226574972e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.757 Order of pole = 587.4 TOP MAIN SOLVE Loop x[1] = 0.23 y[1] (analytic) = 10.249691128716091112657292036848 y[1] (numeric) = 10.249691128716091112657292036853 absolute error = 5e-30 relative error = 4.8781957789847233098853556023273e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.756 Order of pole = 587.4 TOP MAIN SOLVE Loop x[1] = 0.231 y[1] (analytic) = 10.249916070897049493646897349832 y[1] (numeric) = 10.249916070897049493646897349837 absolute error = 5e-30 relative error = 4.8780887232790885653386480497909e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.755 Order of pole = 587.4 TOP MAIN SOLVE Loop memory used=354.7MB, alloc=4.5MB, time=15.18 x[1] = 0.232 y[1] (analytic) = 10.250141115663620569688111151017 y[1] (numeric) = 10.250141115663620569688111151022 absolute error = 5e-30 relative error = 4.8779816234523002521723279916758e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.754 Order of pole = 587.4 TOP MAIN SOLVE Loop x[1] = 0.233 y[1] (analytic) = 10.250366263018213533611956146202 y[1] (numeric) = 10.250366263018213533611956146207 absolute error = 5e-30 relative error = 4.8778744795093334772883084502486e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.753 Order of pole = 587.4 TOP MAIN SOLVE Loop x[1] = 0.234 y[1] (analytic) = 10.250591512963238827738419914609 y[1] (numeric) = 10.250591512963238827738419914614 absolute error = 5e-30 relative error = 4.8777672914551650658145862492227e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.752 Order of pole = 587.4 TOP MAIN SOLVE Loop x[1] = 0.235 y[1] (analytic) = 10.250816865501108144124735097293 y[1] (numeric) = 10.250816865501108144124735097298 absolute error = 5e-30 relative error = 4.8776600592947735604693636939884e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.751 Order of pole = 587.3 TOP MAIN SOLVE Loop x[1] = 0.236 y[1] (analytic) = 10.251042320634234424813818823067 y[1] (numeric) = 10.251042320634234424813818823072 absolute error = 5e-30 relative error = 4.8775527830331392209249932847775e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.749 Order of pole = 587.3 TOP MAIN SOLVE Loop x[1] = 0.237 y[1] (analytic) = 10.251267878365031862082871447496 y[1] (numeric) = 10.251267878365031862082871447501 absolute error = 5e-30 relative error = 4.8774454626752440231717455864285e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.748 Order of pole = 587.3 TOP MAIN SOLVE Loop x[1] = 0.238 y[1] (analytic) = 10.251493538695915898692134680541 y[1] (numeric) = 10.251493538695915898692134680546 absolute error = 5e-30 relative error = 4.8773380982260716588814003784422e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.747 Order of pole = 587.3 TOP MAIN SOLVE Loop x[1] = 0.239 y[1] (analytic) = 10.25171930162930322813380917852 y[1] (numeric) = 10.251719301629303228133809178524 absolute error = 4e-30 relative error = 3.9017845517524860278165289672164e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.746 Order of pole = 587.3 TOP MAIN SOLVE Loop x[1] = 0.24 y[1] (analytic) = 10.251945167167611794881131676104 y[1] (numeric) = 10.251945167167611794881131676108 absolute error = 4e-30 relative error = 3.9016985896590710175715147814361e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.745 Order of pole = 587.3 TOP MAIN SOLVE Loop x[1] = 0.241 y[1] (analytic) = 10.25217113531326079463761173413 y[1] (numeric) = 10.252171135313260794637611734134 absolute error = 4e-30 relative error = 3.9016125923046033642869489311705e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.744 Order of pole = 587.3 TOP MAIN SOLVE Loop x[1] = 0.242 y[1] (analytic) = 10.25239720606867067458642817907 y[1] (numeric) = 10.252397206068670674586428179074 absolute error = 4e-30 relative error = 3.9015265596930755063869898756485e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.743 Order of pole = 587.3 TOP MAIN SOLVE Loop memory used=358.5MB, alloc=4.5MB, time=15.34 x[1] = 0.243 y[1] (analytic) = 10.252623379436263133639985310063 y[1] (numeric) = 10.252623379436263133639985310067 absolute error = 4e-30 relative error = 3.9014404918284812522932508732883e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.742 Order of pole = 587.3 TOP MAIN SOLVE Loop x[1] = 0.244 y[1] (analytic) = 10.25284965541846112268962894948 y[1] (numeric) = 10.252849655418461122689628949484 absolute error = 4e-30 relative error = 3.9013543887148157799148267255144e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.741 Order of pole = 587.3 TOP MAIN SOLVE Loop x[1] = 0.245 y[1] (analytic) = 10.253076034017688844855522413043 y[1] (numeric) = 10.253076034017688844855522413048 absolute error = 5e-30 relative error = 4.8765853129450945451727247971059e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.74 Order of pole = 587.3 TOP MAIN SOLVE Loop x[1] = 0.246 y[1] (analytic) = 10.253302515236371755736682475598 y[1] (numeric) = 10.253302515236371755736682475602 absolute error = 4e-30 relative error = 3.9011820767562587363168856961400e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.739 Order of pole = 587.3 TOP MAIN SOLVE Loop x[1] = 0.247 y[1] (analytic) = 10.253529099076936563661175408674 y[1] (numeric) = 10.253529099076936563661175408679 absolute error = 5e-30 relative error = 4.8763698348992054547015473255107e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.738 Order of pole = 587.3 TOP MAIN SOLVE Loop x[1] = 0.248 y[1] (analytic) = 10.253755785541811229936473166078 y[1] (numeric) = 10.253755785541811229936473166082 absolute error = 4e-30 relative error = 3.9010096238493931692277125695879e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.737 Order of pole = 587.3 TOP MAIN SOLVE Loop x[1] = 0.249 y[1] (analytic) = 10.253982574633424969099969793754 y[1] (numeric) = 10.253982574633424969099969793758 absolute error = 4e-30 relative error = 3.9009233445503471704082930619617e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.736 Order of pole = 587.3 TOP MAIN SOLVE Loop x[1] = 0.25 y[1] (analytic) = 10.254209466354208249169658140291 y[1] (numeric) = 10.254209466354208249169658140295 absolute error = 4e-30 relative error = 3.9008370300262297514196537068853e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.735 Order of pole = 587.3 TOP MAIN SOLVE Loop x[1] = 0.251 y[1] (analytic) = 10.254436460706592791894966944444 y[1] (numeric) = 10.254436460706592791894966944448 absolute error = 4e-30 relative error = 3.9007506802810456622922040480139e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.734 Order of pole = 587.3 TOP MAIN SOLVE Loop x[1] = 0.252 y[1] (analytic) = 10.254663557693011573007758376153 y[1] (numeric) = 10.254663557693011573007758376157 absolute error = 4e-30 relative error = 3.9006642953188010184589928569291e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.733 Order of pole = 587.3 TOP MAIN SOLVE Loop x[1] = 0.253 y[1] (analytic) = 10.25489075731589882247348610757 y[1] (numeric) = 10.254890757315898822473486107575 absolute error = 5e-30 relative error = 4.8757223439293791253055903703086e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.732 Order of pole = 587.3 TOP MAIN SOLVE Loop x[1] = 0.254 y[1] (analytic) = 10.255118059577690024742513990692 y[1] (numeric) = 10.255118059577690024742513990696 absolute error = 4e-30 relative error = 3.9004914197591613523531222912852e-29 % Correct digits = 30 memory used=362.4MB, alloc=4.5MB, time=15.51 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.73 Order of pole = 587.3 TOP MAIN SOLVE Loop x[1] = 0.255 y[1] (analytic) = 10.255345464480821919001595418233 y[1] (numeric) = 10.255345464480821919001595418238 absolute error = 5e-30 relative error = 4.8755061614622317291974190117365e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.729 Order of pole = 587.3 TOP MAIN SOLVE Loop x[1] = 0.256 y[1] (analytic) = 10.255572972027732499425513444473 y[1] (numeric) = 10.255572972027732499425513444478 absolute error = 5e-30 relative error = 4.8753980042242337064859511825045e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.728 Order of pole = 587.3 TOP MAIN SOLVE Loop x[1] = 0.257 y[1] (analytic) = 10.255800582220861015428881742822 y[1] (numeric) = 10.255800582220861015428881742827 absolute error = 5e-30 relative error = 4.8752898029899737907756406457667e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.727 Order of pole = 587.3 TOP MAIN SOLVE Loop x[1] = 0.258 y[1] (analytic) = 10.256028295062647971918106476967 y[1] (numeric) = 10.256028295062647971918106476971 absolute error = 4e-30 relative error = 3.9001452462115758827612322536571e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.726 Order of pole = 587.2 TOP MAIN SOLVE Loop x[1] = 0.259 y[1] (analytic) = 10.256256110555535129543509162479 y[1] (numeric) = 10.256256110555535129543509162483 absolute error = 4e-30 relative error = 3.9000586148421931745400187075445e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.725 Order of pole = 587.2 TOP MAIN SOLVE Loop x[1] = 0.26 y[1] (analytic) = 10.256484028701965504951610595856 y[1] (numeric) = 10.256484028701965504951610595861 absolute error = 5e-30 relative error = 4.8749649353598099102435179386307e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.724 Order of pole = 587.2 TOP MAIN SOLVE Loop x[1] = 0.261 y[1] (analytic) = 10.256712049504383371037575928014 y[1] (numeric) = 10.256712049504383371037575928019 absolute error = 5e-30 relative error = 4.8748565581906981559500677315104e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.723 Order of pole = 587.2 TOP MAIN SOLVE Loop x[1] = 0.262 y[1] (analytic) = 10.256940172965234257197820959313 y[1] (numeric) = 10.256940172965234257197820959318 absolute error = 5e-30 relative error = 4.8747481370504308819427191861422e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.722 Order of pole = 587.2 TOP MAIN SOLVE Loop x[1] = 0.263 y[1] (analytic) = 10.25716839908696494958277973328 y[1] (numeric) = 10.257168399086964949582779733285 absolute error = 5e-30 relative error = 4.8746396719440344645837347828535e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.721 Order of pole = 587.2 TOP MAIN SOLVE Loop x[1] = 0.264 y[1] (analytic) = 10.257396727872023491349833506223 y[1] (numeric) = 10.257396727872023491349833506228 absolute error = 5e-30 relative error = 4.8745311628765369793086329450510e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.72 Order of pole = 587.2 TOP MAIN SOLVE Loop x[1] = 0.265 y[1] (analytic) = 10.257625159322859182916401170018 y[1] (numeric) = 10.257625159322859182916401170024 absolute error = 6e-30 relative error = 5.8493071318235618399820654585707e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.719 Order of pole = 587.2 TOP MAIN SOLVE Loop memory used=366.2MB, alloc=4.5MB, time=15.67 x[1] = 0.266 y[1] (analytic) = 10.257853693441922582213191205415 y[1] (numeric) = 10.25785369344192258221319120542 absolute error = 5e-30 relative error = 4.8743140128783595982714561801881e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.718 Order of pole = 587.2 TOP MAIN SOLVE Loop x[1] = 0.267 y[1] (analytic) = 10.258082330231665504937615243238 y[1] (numeric) = 10.258082330231665504937615243243 absolute error = 5e-30 relative error = 4.8742053719577443429756302642836e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.717 Order of pole = 587.2 TOP MAIN SOLVE Loop x[1] = 0.268 y[1] (analytic) = 10.258311069694541024807363310976 y[1] (numeric) = 10.258311069694541024807363310981 absolute error = 5e-30 relative error = 4.8740966870961572994130521899744e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.716 Order of pole = 587.2 TOP MAIN SOLVE Loop x[1] = 0.269 y[1] (analytic) = 10.258539911833003473814140842261 y[1] (numeric) = 10.258539911833003473814140842265 absolute error = 4e-30 relative error = 3.8991903666389080230120436435150e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.715 Order of pole = 587.2 TOP MAIN SOLVE Loop x[1] = 0.27 y[1] (analytic) = 10.258768856649508442477567526832 y[1] (numeric) = 10.258768856649508442477567526837 absolute error = 5e-30 relative error = 4.8738791855702157874368286511248e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.714 Order of pole = 587.2 TOP MAIN SOLVE Loop x[1] = 0.271 y[1] (analytic) = 10.258997904146512780099238078652 y[1] (numeric) = 10.258997904146512780099238078656 absolute error = 4e-30 relative error = 3.8990162951327516211322026609098e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.713 Order of pole = 587.2 TOP MAIN SOLVE Loop x[1] = 0.272 y[1] (analytic) = 10.259227054326474595016944999859 y[1] (numeric) = 10.259227054326474595016944999863 absolute error = 4e-30 relative error = 3.8989292066726783125012410604070e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.712 Order of pole = 587.2 TOP MAIN SOLVE Loop x[1] = 0.273 y[1] (analytic) = 10.25945630719185325485906341837 y[1] (numeric) = 10.259456307191853254859063418374 absolute error = 4e-30 relative error = 3.8988420830799873746350186071631e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.711 Order of pole = 587.2 TOP MAIN SOLVE Loop x[1] = 0.274 y[1] (analytic) = 10.259685662745109386799098076943 y[1] (numeric) = 10.259685662745109386799098076947 absolute error = 4e-30 relative error = 3.8987549243587148322352874425791e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.71 Order of pole = 587.2 TOP MAIN SOLVE Loop x[1] = 0.275 y[1] (analytic) = 10.259915120988704877810392551626 y[1] (numeric) = 10.25991512098870487781039255163 absolute error = 4e-30 relative error = 3.8986677305128980636128230155407e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.708 Order of pole = 587.2 TOP MAIN SOLVE Loop x[1] = 0.276 y[1] (analytic) = 10.260144681925102874921000777548 y[1] (numeric) = 10.260144681925102874921000777552 absolute error = 4e-30 relative error = 3.8985805015465758001729981266668e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.707 Order of pole = 587.2 TOP MAIN SOLVE Loop memory used=370.0MB, alloc=4.5MB, time=15.83 x[1] = 0.277 y[1] (analytic) = 10.260374345556767785468720960091 y[1] (numeric) = 10.260374345556767785468720960094 absolute error = 3e-30 relative error = 2.9238699280978410944259145966565e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.706 Order of pole = 587.2 TOP MAIN SOLVE Loop x[1] = 0.278 y[1] (analytic) = 10.260604111886165277356291949528 y[1] (numeric) = 10.260604111886165277356291949531 absolute error = 3e-30 relative error = 2.9238044537014323576361700376543e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.705 Order of pole = 587.2 TOP MAIN SOLVE Loop x[1] = 0.279 y[1] (analytic) = 10.260833980915762279306752157301 y[1] (numeric) = 10.260833980915762279306752157303 absolute error = 2e-30 relative error = 1.9491593019824918203076272024167e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.704 Order of pole = 587.2 TOP MAIN SOLVE Loop x[1] = 0.28 y[1] (analytic) = 10.261063952648026981118961092138 y[1] (numeric) = 10.26106395264802698111896109214 absolute error = 2e-30 relative error = 1.9491156172785268779195282291171e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.703 Order of pole = 587.2 TOP MAIN SOLVE Loop x[1] = 0.281 y[1] (analytic) = 10.261294027085428833923283594318 y[1] (numeric) = 10.261294027085428833923283594321 absolute error = 3e-30 relative error = 2.9236078725366242337575952843339e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.702 Order of pole = 587.2 TOP MAIN SOLVE Loop x[1] = 0.282 y[1] (analytic) = 10.261524204230438550437436846417 y[1] (numeric) = 10.26152420423043855043743684642 absolute error = 3e-30 relative error = 2.9235422928332746104680882830443e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.701 Order of pole = 587.2 TOP MAIN SOLVE Loop x[1] = 0.283 y[1] (analytic) = 10.26175448408552810522250023895 y[1] (numeric) = 10.261754484085528105222500238953 absolute error = 3e-30 relative error = 2.9234766868107775884998381956903e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.7 Order of pole = 587.1 TOP MAIN SOLVE Loop x[1] = 0.284 y[1] (analytic) = 10.26198486665317073493908816939 y[1] (numeric) = 10.261984866653170734939088169392 absolute error = 2e-30 relative error = 1.9489407029814468807150650884159e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.699 Order of pole = 587.1 TOP MAIN SOLVE Loop x[1] = 0.285 y[1] (analytic) = 10.262215351935840938603685853098 y[1] (numeric) = 10.262215351935840938603685853101 absolute error = 3e-30 relative error = 2.9233453958204909727500599776943e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.698 Order of pole = 587.1 TOP MAIN SOLVE Loop x[1] = 0.286 y[1] (analytic) = 10.262445939936014477845148224778 y[1] (numeric) = 10.262445939936014477845148224781 absolute error = 3e-30 relative error = 2.9232797108587787190530119447643e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.697 Order of pole = 587.1 TOP MAIN SOLVE Loop x[1] = 0.287 y[1] (analytic) = 10.262676630656168377161362009105 y[1] (numeric) = 10.262676630656168377161362009108 absolute error = 3e-30 relative error = 2.9232139995900737460723837462188e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.696 Order of pole = 587.1 TOP MAIN SOLVE Loop memory used=373.8MB, alloc=4.5MB, time=16.00 x[1] = 0.288 y[1] (analytic) = 10.262907424098780924176071039278 y[1] (numeric) = 10.262907424098780924176071039281 absolute error = 3e-30 relative error = 2.9231482620174172500821969479636e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.695 Order of pole = 587.1 TOP MAIN SOLVE Loop x[1] = 0.289 y[1] (analytic) = 10.263138320266331669895864902285 y[1] (numeric) = 10.263138320266331669895864902288 absolute error = 3e-30 relative error = 2.9230824981438514371524100854255e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.694 Order of pole = 587.1 TOP MAIN SOLVE Loop x[1] = 0.29 y[1] (analytic) = 10.263369319161301428967330989731 y[1] (numeric) = 10.263369319161301428967330989734 absolute error = 3e-30 relative error = 2.9230167079724195227616621150687e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.693 Order of pole = 587.1 TOP MAIN SOLVE Loop x[1] = 0.291 y[1] (analytic) = 10.263600420786172279934370033171 y[1] (numeric) = 10.263600420786172279934370033174 absolute error = 3e-30 relative error = 2.9229508915061657314099137759430e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.692 Order of pole = 587.1 TOP MAIN SOLVE Loop x[1] = 0.292 y[1] (analytic) = 10.263831625143427565495675202916 y[1] (numeric) = 10.263831625143427565495675202919 absolute error = 3e-30 relative error = 2.9228850487481352962309869357909e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.691 Order of pole = 587.1 TOP MAIN SOLVE Loop x[1] = 0.293 y[1] (analytic) = 10.264062932235551892762374849376 y[1] (numeric) = 10.26406293223555189276237484938 absolute error = 4e-30 relative error = 3.8970922396018326114733359949872e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.69 Order of pole = 587.1 TOP MAIN SOLVE Loop x[1] = 0.294 y[1] (analytic) = 10.264294342065031133515838966056 y[1] (numeric) = 10.26429434206503113351583896606 absolute error = 4e-30 relative error = 3.8970043791585739570276179088210e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.689 Order of pole = 587.1 TOP MAIN SOLVE Loop x[1] = 0.295 y[1] (analytic) = 10.264525854634352424465649453373 y[1] (numeric) = 10.264525854634352424465649453376 absolute error = 3e-30 relative error = 2.9226873627538515804377435359097e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.688 Order of pole = 587.1 TOP MAIN SOLVE Loop x[1] = 0.296 y[1] (analytic) = 10.264757469946004167507734262552 y[1] (numeric) = 10.264757469946004167507734262555 absolute error = 3e-30 relative error = 2.9226214148591870603987144524552e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.687 Order of pole = 587.1 TOP MAIN SOLVE Loop x[1] = 0.297 y[1] (analytic) = 10.264989188002476029982665498905 y[1] (numeric) = 10.264989188002476029982665498908 absolute error = 3e-30 relative error = 2.9225554406879871781412785608473e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.685 Order of pole = 587.1 TOP MAIN SOLVE Loop x[1] = 0.298 y[1] (analytic) = 10.265221008806258944934121563864 y[1] (numeric) = 10.265221008806258944934121563867 absolute error = 3e-30 relative error = 2.9224894402433032104600472956682e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.684 Order of pole = 587.1 TOP MAIN SOLVE Loop memory used=377.6MB, alloc=4.5MB, time=16.16 x[1] = 0.299 y[1] (analytic) = 10.265452932359845111367513415206 y[1] (numeric) = 10.265452932359845111367513415209 absolute error = 3e-30 relative error = 2.9224234135281874400684184715734e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.683 Order of pole = 587.1 TOP MAIN SOLVE Loop x[1] = 0.3 y[1] (analytic) = 10.265684958665727994508775024974 y[1] (numeric) = 10.265684958665727994508775024977 absolute error = 3e-30 relative error = 2.9223573605456931552103021893016e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.682 Order of pole = 587.1 TOP MAIN SOLVE Loop x[1] = 0.301 y[1] (analytic) = 10.265917087726402326063318114661 y[1] (numeric) = 10.265917087726402326063318114664 absolute error = 3e-30 relative error = 2.9222912812988746492717453971742e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.681 Order of pole = 587.1 TOP MAIN SOLVE Loop x[1] = 0.302 y[1] (analytic) = 10.266149319544364104475151247285 y[1] (numeric) = 10.266149319544364104475151247288 absolute error = 3e-30 relative error = 2.9222251757907872203924551826589e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.68 Order of pole = 587.1 TOP MAIN SOLVE Loop x[1] = 0.303 y[1] (analytic) = 10.266381654122110595186163356055 y[1] (numeric) = 10.266381654122110595186163356058 absolute error = 3e-30 relative error = 2.9221590440244871710772208685714e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.679 Order of pole = 587.1 TOP MAIN SOLVE Loop x[1] = 0.304 y[1] (analytic) = 10.266614091462140330895571789383 y[1] (numeric) = 10.266614091462140330895571789386 absolute error = 3e-30 relative error = 2.9220928860030318078072349884996e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.678 Order of pole = 587.1 TOP MAIN SOLVE Loop x[1] = 0.305 y[1] (analytic) = 10.266846631566953111819534952073 y[1] (numeric) = 10.266846631566953111819534952076 absolute error = 3e-30 relative error = 2.9220267017294794406513132160330e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.677 Order of pole = 587.1 TOP MAIN SOLVE Loop x[1] = 0.306 y[1] (analytic) = 10.267079274439050005950929622577 y[1] (numeric) = 10.26707927443905000595092962258 absolute error = 3e-30 relative error = 2.9219604912068893828770133223893e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.676 Order of pole = 587.1 TOP MAIN SOLVE Loop x[1] = 0.307 y[1] (analytic) = 10.267312020080933349319293026266 y[1] (numeric) = 10.267312020080933349319293026269 absolute error = 3e-30 relative error = 2.9218942544383219505616532370341e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.675 Order of pole = 587.1 TOP MAIN SOLVE Loop x[1] = 0.308 y[1] (analytic) = 10.267544868495106746250929744743 y[1] (numeric) = 10.267544868495106746250929744746 absolute error = 3e-30 relative error = 2.9218279914268384622032282858916e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.674 Order of pole = 587.1 TOP MAIN SOLVE Loop x[1] = 0.309 y[1] (analytic) = 10.267777819684075069629183541282 y[1] (numeric) = 10.267777819684075069629183541285 absolute error = 3e-30 relative error = 2.9217617021755012383312276817510e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.673 Order of pole = 587.1 TOP MAIN SOLVE Loop x[1] = 0.31 y[1] (analytic) = 10.26801087365034446115487418254 y[1] (numeric) = 10.268010873650344461154874182543 absolute error = 3e-30 relative error = 2.9216953866873736011173503414766e-29 % Correct digits = 30 h = 0.001 memory used=381.4MB, alloc=4.5MB, time=16.33 Real estimate of pole used for equation 1 Radius of convergence = 7.672 Order of pole = 587.1 TOP MAIN SOLVE Loop x[1] = 0.311 y[1] (analytic) = 10.268244030396422331606899336758 y[1] (numeric) = 10.268244030396422331606899336761 absolute error = 3e-30 relative error = 2.9216290449655198739861201046354e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.671 Order of pole = 587.1 TOP MAIN SOLVE Loop x[1] = 0.312 y[1] (analytic) = 10.26847728992481736110300162873 y[1] (numeric) = 10.268477289924817361103001628733 absolute error = 3e-30 relative error = 2.9215626770130053812254004281595e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.67 Order of pole = 587 TOP MAIN SOLVE Loop x[1] = 0.313 y[1] (analytic) = 10.26871065223803949936070093189 y[1] (numeric) = 10.268710652238039499360700931894 absolute error = 4e-30 relative error = 3.8953283771105285967957448422174e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.669 Order of pole = 587 TOP MAIN SOLVE Loop x[1] = 0.314 y[1] (analytic) = 10.268944117338599965958391977925 y[1] (numeric) = 10.268944117338599965958391977929 absolute error = 4e-30 relative error = 3.8952398165710138639280396907202e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.668 Order of pole = 587 TOP MAIN SOLVE Loop x[1] = 0.315 y[1] (analytic) = 10.26917768522901125059660736438 y[1] (numeric) = 10.269177685229011250596607364384 absolute error = 4e-30 relative error = 3.8951512210695540757507069253039e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.667 Order of pole = 587 TOP MAIN SOLVE Loop x[1] = 0.316 y[1] (analytic) = 10.269411355911787113359446040814 y[1] (numeric) = 10.269411355911787113359446040818 absolute error = 4e-30 relative error = 3.8950625906102416640562278866840e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.666 Order of pole = 587 TOP MAIN SOLVE Loop x[1] = 0.317 y[1] (analytic) = 10.269645129389442584976167354101 y[1] (numeric) = 10.269645129389442584976167354105 absolute error = 4e-30 relative error = 3.8949739251971703925229610396984e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.665 Order of pole = 587 TOP MAIN SOLVE Loop x[1] = 0.318 y[1] (analytic) = 10.269879005664493967082950733549 y[1] (numeric) = 10.269879005664493967082950733552 absolute error = 3e-30 relative error = 2.9211639186258265171462695980517e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.664 Order of pole = 587 TOP MAIN SOLVE Loop x[1] = 0.319 y[1] (analytic) = 10.270112984739458832484821096574 y[1] (numeric) = 10.270112984739458832484821096578 absolute error = 4e-30 relative error = 3.8947964895261329809620550097968e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.663 Order of pole = 587 TOP MAIN SOLVE Loop x[1] = 0.32 y[1] (analytic) = 10.270347066616856025417740055745 y[1] (numeric) = 10.270347066616856025417740055748 absolute error = 3e-30 relative error = 2.9210307894572707672791069125421e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.662 Order of pole = 587 TOP MAIN SOLVE Loop x[1] = 0.321 y[1] (analytic) = 10.270581251299205661810863008039 y[1] (numeric) = 10.270581251299205661810863008042 absolute error = 3e-30 relative error = 2.9209641855669139263334983233519e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.661 Order of pole = 587 TOP MAIN SOLVE Loop memory used=385.3MB, alloc=4.5MB, time=16.49 x[1] = 0.322 y[1] (analytic) = 10.270815538789029129548962187276 y[1] (numeric) = 10.270815538789029129548962187279 absolute error = 3e-30 relative error = 2.9208975554766045243622214142233e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.66 Order of pole = 587 TOP MAIN SOLVE Loop x[1] = 0.323 y[1] (analytic) = 10.271049929088849088735015760701 y[1] (numeric) = 10.271049929088849088735015760705 absolute error = 4e-30 relative error = 3.8944411989192251592202268417780e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.659 Order of pole = 587 TOP MAIN SOLVE Loop x[1] = 0.324 y[1] (analytic) = 10.271284422201189471952963050806 y[1] (numeric) = 10.27128442220118947195296305081 absolute error = 4e-30 relative error = 3.8943522889445790209652542284812e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.657 Order of pole = 587 TOP MAIN SOLVE Loop x[1] = 0.325 y[1] (analytic) = 10.271519018128575484530625963497 y[1] (numeric) = 10.271519018128575484530625963501 absolute error = 4e-30 relative error = 3.8942633440489720177480615422708e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.656 Order of pole = 587 TOP MAIN SOLVE Loop x[1] = 0.326 y[1] (analytic) = 10.271753716873533604802796703829 y[1] (numeric) = 10.271753716873533604802796703833 absolute error = 4e-30 relative error = 3.8941743642365098767987091090798e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.655 Order of pole = 587 TOP MAIN SOLVE Loop x[1] = 0.327 y[1] (analytic) = 10.271988518438591584374491860547 y[1] (numeric) = 10.271988518438591584374491860551 absolute error = 4e-30 relative error = 3.8940853495112996520259878070915e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.654 Order of pole = 587 TOP MAIN SOLVE Loop x[1] = 0.328 y[1] (analytic) = 10.272223422826278448384372940784 y[1] (numeric) = 10.272223422826278448384372940788 absolute error = 4e-30 relative error = 3.8939962998774497234959743502244e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.653 Order of pole = 587 TOP MAIN SOLVE Loop x[1] = 0.329 y[1] (analytic) = 10.272458430039124495768333436294 y[1] (numeric) = 10.272458430039124495768333436298 absolute error = 4e-30 relative error = 3.8939072153390697969104542318459e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.652 Order of pole = 587 TOP MAIN SOLVE Loop x[1] = 0.33 y[1] (analytic) = 10.27269354007966129952325250269 y[1] (numeric) = 10.272693540079661299523252502694 absolute error = 4e-30 relative error = 3.8938180959002709030852124282984e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.651 Order of pole = 587 TOP MAIN SOLVE Loop x[1] = 0.331 y[1] (analytic) = 10.272928752950421706970915333209 y[1] (numeric) = 10.272928752950421706970915333214 absolute error = 5e-30 relative error = 4.8671611769564567467852399522900e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.65 Order of pole = 587 TOP MAIN SOLVE Loop x[1] = 0.332 y[1] (analytic) = 10.273164068653939840022100308607 y[1] (numeric) = 10.273164068653939840022100308611 absolute error = 4e-30 relative error = 3.8936397523378669594175204225392e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.649 Order of pole = 587 TOP MAIN SOLVE Loop memory used=389.1MB, alloc=4.5MB, time=16.65 x[1] = 0.333 y[1] (analytic) = 10.27339948719275109544083300482 y[1] (numeric) = 10.273399487192751095440833004824 absolute error = 4e-30 relative error = 3.8935505282224905920794045489039e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.648 Order of pole = 587 TOP MAIN SOLVE Loop x[1] = 0.334 y[1] (analytic) = 10.273635008569392145108807140151 y[1] (numeric) = 10.273635008569392145108807140155 absolute error = 4e-30 relative error = 3.8934612692231526214658929665577e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.647 Order of pole = 587 TOP MAIN SOLVE Loop x[1] = 0.335 y[1] (analytic) = 10.273870632786400936289972543742 y[1] (numeric) = 10.273870632786400936289972543746 absolute error = 4e-30 relative error = 3.8933719753439706961325071848715e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.646 Order of pole = 587 TOP MAIN SOLVE Loop x[1] = 0.336 y[1] (analytic) = 10.27410635984631669189529022721 y[1] (numeric) = 10.274106359846316691895290227213 absolute error = 3e-30 relative error = 2.9199619849417978399618057132427e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.645 Order of pole = 587 TOP MAIN SOLVE Loop x[1] = 0.337 y[1] (analytic) = 10.274342189751679910747654641359 y[1] (numeric) = 10.274342189751679910747654641362 absolute error = 3e-30 relative error = 2.9198949622219141386828210457047e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.644 Order of pole = 587 TOP MAIN SOLVE Loop x[1] = 0.338 y[1] (analytic) = 10.274578122505032367846983199973 y[1] (numeric) = 10.274578122505032367846983199976 absolute error = 3e-30 relative error = 2.9198279133514181279602340455696e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.643 Order of pole = 587 TOP MAIN SOLVE Loop x[1] = 0.339 y[1] (analytic) = 10.27481415810891711463547315273 y[1] (numeric) = 10.274814158108917114635473152734 absolute error = 4e-30 relative error = 3.8930144511112026770684846039698e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.642 Order of pole = 587 TOP MAIN SOLVE Loop x[1] = 0.34 y[1] (analytic) = 10.27505029656587847926302588938 y[1] (numeric) = 10.275050296565878479263025889383 absolute error = 3e-30 relative error = 2.9196937371709589681307694237496e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.641 Order of pole = 587 TOP MAIN SOLVE Loop x[1] = 0.341 y[1] (analytic) = 10.275286537878462066852838757355 y[1] (numeric) = 10.275286537878462066852838757358 absolute error = 3e-30 relative error = 2.9196266098671831883978855061704e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.64 Order of pole = 587 TOP MAIN SOLVE Loop x[1] = 0.342 y[1] (analytic) = 10.275522882049214759767164475096 y[1] (numeric) = 10.275522882049214759767164475099 absolute error = 3e-30 relative error = 2.9195594564251698371845523342029e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.639 Order of pole = 587 TOP MAIN SOLVE Loop x[1] = 0.343 y[1] (analytic) = 10.275759329080684717873238223397 y[1] (numeric) = 10.2757593290806847178732382234 absolute error = 3e-30 relative error = 2.9194922768480150718124531118885e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.638 Order of pole = 587 TOP MAIN SOLVE Loop memory used=392.9MB, alloc=4.5MB, time=16.81 x[1] = 0.344 y[1] (analytic) = 10.275995878975421378809372497167 y[1] (numeric) = 10.27599587897542137880937249717 absolute error = 3e-30 relative error = 2.9194250711388160379504509636642e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.637 Order of pole = 587 TOP MAIN SOLVE Loop x[1] = 0.345 y[1] (analytic) = 10.276232531735975458251219800073 y[1] (numeric) = 10.276232531735975458251219800076 absolute error = 3e-30 relative error = 2.9193578393006708692218282253452e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.636 Order of pole = 587 TOP MAIN SOLVE Loop x[1] = 0.346 y[1] (analytic) = 10.276469287364898950178203264576 y[1] (numeric) = 10.276469287364898950178203264579 absolute error = 3e-30 relative error = 2.9192905813366786868114277505216e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.635 Order of pole = 587 TOP MAIN SOLVE Loop x[1] = 0.347 y[1] (analytic) = 10.276706145864745127140115279961 y[1] (numeric) = 10.276706145864745127140115279964 absolute error = 3e-30 relative error = 2.9192232972499395990726963071196e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.634 Order of pole = 586.9 TOP MAIN SOLVE Loop x[1] = 0.348 y[1] (analytic) = 10.276943107238068540523884211019 y[1] (numeric) = 10.276943107238068540523884211021 absolute error = 2e-30 relative error = 1.9461039913623698007564200925879e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.633 Order of pole = 586.9 TOP MAIN SOLVE Loop x[1] = 0.349 y[1] (analytic) = 10.277180171487425020820509290097 y[1] (numeric) = 10.277180171487425020820509290099 absolute error = 2e-30 relative error = 1.9460591004804173830057485110191e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.632 Order of pole = 586.9 TOP MAIN SOLVE Loop x[1] = 0.35 y[1] (analytic) = 10.277417338615371677892163765326 y[1] (numeric) = 10.277417338615371677892163765329 absolute error = 3e-30 relative error = 2.9190212882842567866952151033540e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.631 Order of pole = 586.9 TOP MAIN SOLVE Loop x[1] = 0.351 y[1] (analytic) = 10.277654608624466901239466387871 y[1] (numeric) = 10.277654608624466901239466387873 absolute error = 2e-30 relative error = 1.9459692664917005938604986400198e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.63 Order of pole = 586.9 TOP MAIN SOLVE Loop x[1] = 0.352 y[1] (analytic) = 10.27789198151727036026892132113 y[1] (numeric) = 10.277891981517270360268921321132 absolute error = 2e-30 relative error = 1.9459243233890756167292780089204e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.629 Order of pole = 586.9 TOP MAIN SOLVE Loop x[1] = 0.353 y[1] (analytic) = 10.278129457296343004560526554897 y[1] (numeric) = 10.278129457296343004560526554899 absolute error = 2e-30 relative error = 1.9458793628837002751414868759331e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.628 Order of pole = 586.9 TOP MAIN SOLVE Loop x[1] = 0.354 y[1] (analytic) = 10.278367035964247064135550907519 y[1] (numeric) = 10.278367035964247064135550907521 absolute error = 2e-30 relative error = 1.9458343849776459074455789378559e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.626 Order of pole = 586.9 TOP MAIN SOLVE Loop memory used=396.7MB, alloc=4.5MB, time=16.98 x[1] = 0.355 y[1] (analytic) = 10.278604717523546049724479699203 y[1] (numeric) = 10.278604717523546049724479699206 absolute error = 3e-30 relative error = 2.9186840845094767620064471412614e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.625 Order of pole = 586.9 TOP MAIN SOLVE Loop x[1] = 0.356 y[1] (analytic) = 10.278842501976804753035129179658 y[1] (numeric) = 10.278842501976804753035129179661 absolute error = 3e-30 relative error = 2.9186165654576830903981832429918e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.624 Order of pole = 586.9 TOP MAIN SOLVE Loop x[1] = 0.357 y[1] (analytic) = 10.279080389326589247020929793328 y[1] (numeric) = 10.279080389326589247020929793331 absolute error = 3e-30 relative error = 2.9185490203141978047489627243273e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.623 Order of pole = 586.9 TOP MAIN SOLVE Loop x[1] = 0.358 y[1] (analytic) = 10.279318379575466886149378365567 y[1] (numeric) = 10.27931837957546688614937836557 absolute error = 3e-30 relative error = 2.9184814490821318463038122072126e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.622 Order of pole = 586.9 TOP MAIN SOLVE Loop x[1] = 0.359 y[1] (analytic) = 10.279556472726006306670659293135 y[1] (numeric) = 10.279556472726006306670659293138 absolute error = 3e-30 relative error = 2.9184138517645971387532732335201e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.621 Order of pole = 586.9 TOP MAIN SOLVE Loop x[1] = 0.36 y[1] (analytic) = 10.279794668780777426886434822495 y[1] (numeric) = 10.279794668780777426886434822498 absolute error = 3e-30 relative error = 2.9183462283647065878391796376085e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.62 Order of pole = 586.9 TOP MAIN SOLVE Loop x[1] = 0.361 y[1] (analytic) = 10.280032967742351447418804499438 y[1] (numeric) = 10.280032967742351447418804499442 absolute error = 4e-30 relative error = 3.8910381051807654412804507412008e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.619 Order of pole = 586.9 TOP MAIN SOLVE Loop x[1] = 0.362 y[1] (analytic) = 10.280271369613300851479433873644 y[1] (numeric) = 10.280271369613300851479433873647 absolute error = 3e-30 relative error = 2.9182109033303144867781116482770e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.618 Order of pole = 586.9 TOP MAIN SOLVE Loop x[1] = 0.363 y[1] (analytic) = 10.280509874396199405138852541836 y[1] (numeric) = 10.280509874396199405138852541839 absolute error = 3e-30 relative error = 2.9181432017020436548219071060909e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.617 Order of pole = 586.9 TOP MAIN SOLVE Loop x[1] = 0.364 y[1] (analytic) = 10.280748482093622157595921613284 y[1] (numeric) = 10.280748482093622157595921613287 absolute error = 3e-30 relative error = 2.9180754740038784150945650215996e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.616 Order of pole = 586.9 TOP MAIN SOLVE Loop x[1] = 0.365 y[1] (analytic) = 10.280987192708145441447470681449 y[1] (numeric) = 10.280987192708145441447470681452 absolute error = 3e-30 relative error = 2.9180077202389365776776536936260e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.615 Order of pole = 586.9 TOP MAIN SOLVE Loop x[1] = 0.366 y[1] (analytic) = 10.281226006242346872958104385644 y[1] (numeric) = 10.281226006242346872958104385648 absolute error = 4e-30 relative error = 3.8905865872137825764488885923409e-29 % Correct digits = 30 h = 0.001 memory used=400.5MB, alloc=4.5MB, time=17.15 Real estimate of pole used for equation 1 Radius of convergence = 7.614 Order of pole = 586.9 TOP MAIN SOLVE Loop x[1] = 0.367 y[1] (analytic) = 10.281464922698805352330178646659 y[1] (numeric) = 10.281464922698805352330178646663 absolute error = 4e-30 relative error = 3.8904961793615989975014966951744e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.613 Order of pole = 586.9 TOP MAIN SOLVE Loop x[1] = 0.368 y[1] (analytic) = 10.281703942080101063973946660348 y[1] (numeric) = 10.281703942080101063973946660352 absolute error = 4e-30 relative error = 3.8904057367661923639927622158778e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.612 Order of pole = 586.9 TOP MAIN SOLVE Loop x[1] = 0.369 y[1] (analytic) = 10.281943064388815476777874733274 y[1] (numeric) = 10.281943064388815476777874733277 absolute error = 3e-30 relative error = 2.9177364445737937333895023904442e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.611 Order of pole = 586.9 TOP MAIN SOLVE Loop x[1] = 0.37 y[1] (analytic) = 10.282182289627531344379128044533 y[1] (numeric) = 10.282182289627531344379128044536 absolute error = 3e-30 relative error = 2.9176685605217703338621541282797e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.61 Order of pole = 586.9 TOP MAIN SOLVE Loop x[1] = 0.371 y[1] (analytic) = 10.282421617798832705434226417997 y[1] (numeric) = 10.282421617798832705434226418 absolute error = 3e-30 relative error = 2.9176006504216977566722331874953e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.609 Order of pole = 586.9 TOP MAIN SOLVE Loop x[1] = 0.372 y[1] (analytic) = 10.282661048905304883889870189238 y[1] (numeric) = 10.282661048905304883889870189241 absolute error = 3e-30 relative error = 2.9175327142767006613925327250124e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.608 Order of pole = 586.9 TOP MAIN SOLVE Loop x[1] = 0.373 y[1] (analytic) = 10.282900582949534489253936251493 y[1] (numeric) = 10.282900582949534489253936251496 absolute error = 3e-30 relative error = 2.9174647520899046845134567314173e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.607 Order of pole = 586.9 TOP MAIN SOLVE Loop x[1] = 0.374 y[1] (analytic) = 10.283140219934109416866644365087 y[1] (numeric) = 10.28314021993410941686664436509 absolute error = 3e-30 relative error = 2.9173967638644364390474481293880e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.606 Order of pole = 586.9 TOP MAIN SOLVE Loop x[1] = 0.375 y[1] (analytic) = 10.283379959861618848171893814806 y[1] (numeric) = 10.283379959861618848171893814809 absolute error = 3e-30 relative error = 2.9173287496034235141333210565544e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.605 Order of pole = 586.9 TOP MAIN SOLVE Loop x[1] = 0.376 y[1] (analytic) = 10.283619802734653250988770499764 y[1] (numeric) = 10.283619802734653250988770499767 absolute error = 3e-30 relative error = 2.9172607093099944746404974076303e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.604 Order of pole = 586.9 TOP MAIN SOLVE Loop x[1] = 0.377 y[1] (analytic) = 10.283859748555804379783224540401 y[1] (numeric) = 10.283859748555804379783224540404 absolute error = 3e-30 relative error = 2.9171926429872788607731477106511e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.603 Order of pole = 586.9 TOP MAIN SOLVE Loop memory used=404.3MB, alloc=4.6MB, time=17.31 x[1] = 0.378 y[1] (analytic) = 10.2840997973276652759399184873 y[1] (numeric) = 10.284099797327665275939918487303 absolute error = 3e-30 relative error = 2.9171245506384071876742364121563e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.602 Order of pole = 586.9 TOP MAIN SOLVE Loop x[1] = 0.379 y[1] (analytic) = 10.284339949052830268034246216583 y[1] (numeric) = 10.284339949052830268034246216586 absolute error = 3e-30 relative error = 2.9170564322665109450294716461618e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.601 Order of pole = 586.9 TOP MAIN SOLVE Loop x[1] = 0.38 y[1] (analytic) = 10.284580203733894972104522596717 y[1] (numeric) = 10.28458020373389497210452259672 absolute error = 3e-30 relative error = 2.9169882878747225966711595617634e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.6 Order of pole = 586.9 TOP MAIN SOLVE Loop x[1] = 0.381 y[1] (analytic) = 10.284820561373456291924344011635 y[1] (numeric) = 10.284820561373456291924344011638 absolute error = 3e-30 relative error = 2.9169201174661755801819632842181e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.599 Order of pole = 586.9 TOP MAIN SOLVE Loop x[1] = 0.382 y[1] (analytic) = 10.285061021974112419275119825131 y[1] (numeric) = 10.285061021974112419275119825134 absolute error = 3e-30 relative error = 2.9168519210440043064985665843528e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.598 Order of pole = 586.9 TOP MAIN SOLVE Loop x[1] = 0.383 y[1] (analytic) = 10.28530158553846283421877487157 y[1] (numeric) = 10.285301585538462834218774871573 absolute error = 3e-30 relative error = 2.9167836986113441595152423311520e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.597 Order of pole = 586.9 TOP MAIN SOLVE Loop x[1] = 0.384 y[1] (analytic) = 10.285542252069108305370623058024 y[1] (numeric) = 10.285542252069108305370623058027 absolute error = 3e-30 relative error = 2.9167154501713314956873258023744e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.596 Order of pole = 586.9 TOP MAIN SOLVE Loop x[1] = 0.385 y[1] (analytic) = 10.285783021568650890172412162996 y[1] (numeric) = 10.285783021568650890172412162999 absolute error = 3e-30 relative error = 2.9166471757271036436345929280576e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.595 Order of pole = 586.9 TOP MAIN SOLVE Loop x[1] = 0.386 y[1] (analytic) = 10.286023894039693935165539916992 y[1] (numeric) = 10.286023894039693935165539916995 absolute error = 3e-30 relative error = 2.9165788752817989037445435417649e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.594 Order of pole = 586.9 TOP MAIN SOLVE Loop x[1] = 0.387 y[1] (analytic) = 10.286264869484842076264441450241 y[1] (numeric) = 10.286264869484842076264441450243 absolute error = 2e-30 relative error = 1.9443403658923710318503931429570e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.593 Order of pole = 586.9 TOP MAIN SOLVE Loop x[1] = 0.388 y[1] (analytic) = 10.286505947906701239030148192946 y[1] (numeric) = 10.286505947906701239030148192948 absolute error = 2e-30 relative error = 1.9442947976003445456400994971339e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.592 Order of pole = 586.8 TOP MAIN SOLVE Loop memory used=408.1MB, alloc=4.6MB, time=17.48 x[1] = 0.389 y[1] (analytic) = 10.286747129307878638944018313531 y[1] (numeric) = 10.286747129307878638944018313533 absolute error = 2e-30 relative error = 1.9442492119805472860717629250174e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.591 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.39 y[1] (analytic) = 10.286988413690982781681638780386 y[1] (numeric) = 10.286988413690982781681638780388 absolute error = 2e-30 relative error = 1.9442036090350740421382705833653e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.59 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.391 y[1] (analytic) = 10.287229801058623463386899132713 y[1] (numeric) = 10.287229801058623463386899132715 absolute error = 2e-30 relative error = 1.9441579887660202493543215596476e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.588 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.392 y[1] (analytic) = 10.287471291413411770946237046123 y[1] (numeric) = 10.287471291413411770946237046125 absolute error = 2e-30 relative error = 1.9441123511754819894915701186003e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.587 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.393 y[1] (analytic) = 10.287712884757960082263055778723 y[1] (numeric) = 10.287712884757960082263055778725 absolute error = 2e-30 relative error = 1.9440666962655559903137059699780e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.586 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.394 y[1] (analytic) = 10.287954581094882066532313583483 y[1] (numeric) = 10.287954581094882066532313583485 absolute error = 2e-30 relative error = 1.9440210240383396253114716074259e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.585 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.395 y[1] (analytic) = 10.288196380426792684515285172753 y[1] (numeric) = 10.288196380426792684515285172756 absolute error = 3e-30 relative error = 2.9159630017438963701564251525755e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.584 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.396 y[1] (analytic) = 10.28843828275630818881449532087 y[1] (numeric) = 10.288438282756308188814495320872 absolute error = 2e-30 relative error = 1.9439296276404285188417900649421e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.583 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.397 y[1] (analytic) = 10.288680288086046124148824690852 y[1] (numeric) = 10.288680288086046124148824690854 absolute error = 2e-30 relative error = 1.9438839034739317506053678355714e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.582 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.398 y[1] (analytic) = 10.288922396418625327628787971276 y[1] (numeric) = 10.288922396418625327628787971278 absolute error = 2e-30 relative error = 1.9438381619985405624762202676389e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.581 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.399 y[1] (analytic) = 10.289164607756665929031984409463 y[1] (numeric) = 10.289164607756665929031984409466 absolute error = 3e-30 relative error = 2.9156886048245333289051222609611e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.58 Order of pole = 586.8 TOP MAIN SOLVE Loop memory used=412.0MB, alloc=4.6MB, time=17.64 x[1] = 0.4 y[1] (analytic) = 10.289406922102789351078720827204 y[1] (numeric) = 10.289406922102789351078720827206 absolute error = 2e-30 relative error = 1.9437466271294779632718571400693e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.579 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.401 y[1] (analytic) = 10.289649339459618309707807205297 y[1] (numeric) = 10.289649339459618309707807205299 absolute error = 2e-30 relative error = 1.9437008337400096806368690918398e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.578 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.402 y[1] (analytic) = 10.289891859829776814352524923274 y[1] (numeric) = 10.289891859829776814352524923276 absolute error = 2e-30 relative error = 1.9436550230500532344587046672002e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.577 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.403 y[1] (analytic) = 10.290134483215890168216767740717 y[1] (numeric) = 10.290134483215890168216767740719 absolute error = 2e-30 relative error = 1.9436091950617117978370031080523e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.576 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.404 y[1] (analytic) = 10.290377209620584968551355606682 y[1] (numeric) = 10.290377209620584968551355606684 absolute error = 2e-30 relative error = 1.9435633497770891869451797226091e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.575 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.405 y[1] (analytic) = 10.290620039046489106930521383782 y[1] (numeric) = 10.290620039046489106930521383784 absolute error = 2e-30 relative error = 1.9435174871982898607647543013178e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.574 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.406 y[1] (analytic) = 10.290862971496231769528570573572 y[1] (numeric) = 10.290862971496231769528570573574 absolute error = 2e-30 relative error = 1.9434716073274189208196172029771e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.573 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.407 y[1] (analytic) = 10.291106006972443437396714129946 y[1] (numeric) = 10.291106006972443437396714129948 absolute error = 2e-30 relative error = 1.9434257101665821109102331609779e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.572 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.408 y[1] (analytic) = 10.291349145477755886740074447313 y[1] (numeric) = 10.291349145477755886740074447315 absolute error = 2e-30 relative error = 1.9433797957178858168477828596000e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.571 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.409 y[1] (analytic) = 10.291592387014802189194864610406 y[1] (numeric) = 10.291592387014802189194864610408 absolute error = 2e-30 relative error = 1.9433338639834370661882423302957e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.57 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.41 y[1] (analytic) = 10.291835731586216712105740992644 y[1] (numeric) = 10.291835731586216712105740992646 absolute error = 2e-30 relative error = 1.9432879149653435279664002178936e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.569 Order of pole = 586.8 TOP MAIN SOLVE Loop memory used=415.8MB, alloc=4.6MB, time=17.80 x[1] = 0.411 y[1] (analytic) = 10.292079179194635118803329290027 y[1] (numeric) = 10.292079179194635118803329290029 absolute error = 2e-30 relative error = 1.9432419486657135124298129666557e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.568 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.412 y[1] (analytic) = 10.292322729842694368881924077628 y[1] (numeric) = 10.292322729842694368881924077631 absolute error = 3e-30 relative error = 2.9147939476299839561590469641865e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.567 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.413 y[1] (analytic) = 10.292566383533032718477361975814 y[1] (numeric) = 10.292566383533032718477361975816 absolute error = 2e-30 relative error = 1.9431499642302804948697647766912e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.566 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.414 y[1] (analytic) = 10.29281014026828972054506851338 y[1] (numeric) = 10.292810140268289720545068513382 absolute error = 2e-30 relative error = 1.9431039460986973170099842748301e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.565 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.415 y[1] (analytic) = 10.293054000051106225138278774895 y[1] (numeric) = 10.293054000051106225138278774897 absolute error = 2e-30 relative error = 1.9430579106940173096302961179237e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.564 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.416 y[1] (analytic) = 10.293297962884124379686431919569 y[1] (numeric) = 10.293297962884124379686431919572 absolute error = 3e-30 relative error = 2.9145177870275279775738813429440e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.563 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.417 y[1] (analytic) = 10.293542028769987629273739659078 y[1] (numeric) = 10.29354202876998762927373965908 absolute error = 2e-30 relative error = 1.9429657880738134952006105587171e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.562 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.418 y[1] (analytic) = 10.29378619771134071691792878181 y[1] (numeric) = 10.293786197711340716917928781812 absolute error = 2e-30 relative error = 1.9429197008625146313668371123247e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.561 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.419 y[1] (analytic) = 10.294030469710829683849157811105 y[1] (numeric) = 10.294030469710829683849157811107 absolute error = 2e-30 relative error = 1.9428735963865688239125862885649e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.56 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.42 y[1] (analytic) = 10.294274844771101869789107885098 y[1] (numeric) = 10.2942748447711018697891078851 absolute error = 2e-30 relative error = 1.9428274746480901420180895934295e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.559 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.421 y[1] (analytic) = 10.294519322894805913230247945868 y[1] (numeric) = 10.29451932289480591323024794587 absolute error = 2e-30 relative error = 1.9427813356491932934124947709308e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.558 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.422 y[1] (analytic) = 10.294763904084591751715274325655 y[1] (numeric) = 10.294763904084591751715274325657 absolute error = 2e-30 relative error = 1.9427351793919936241071414034237e-29 % Correct digits = 30 h = 0.001 memory used=419.6MB, alloc=4.6MB, time=17.97 Real estimate of pole used for equation 1 Radius of convergence = 7.557 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.423 y[1] (analytic) = 10.295008588343110622116724817989 y[1] (numeric) = 10.295008588343110622116724817992 absolute error = 3e-30 relative error = 2.9140335088179106771931625465757e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.556 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.424 y[1] (analytic) = 10.295253375673015060916767321639 y[1] (numeric) = 10.295253375673015060916767321642 absolute error = 3e-30 relative error = 2.9139642226667255958790497603775e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.555 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.425 y[1] (analytic) = 10.29549826607695890448716314535 y[1] (numeric) = 10.295498266076958904487163145353 absolute error = 3e-30 relative error = 2.9138949106376110811038049569358e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.554 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.426 y[1] (analytic) = 10.295743259557597289369405061438 y[1] (numeric) = 10.295743259557597289369405061442 absolute error = 4e-30 relative error = 3.8851007636449919700998389894639e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.553 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.427 y[1] (analytic) = 10.295988356117586652555030196359 y[1] (numeric) = 10.295988356117586652555030196362 absolute error = 3e-30 relative error = 2.9137562089583020854211966602355e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.552 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.428 y[1] (analytic) = 10.296233555759584731766107846429 y[1] (numeric) = 10.296233555759584731766107846432 absolute error = 3e-30 relative error = 2.9136868193144641597925153905914e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.551 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.429 y[1] (analytic) = 10.296478858486250565735902306996 y[1] (numeric) = 10.296478858486250565735902307 absolute error = 4e-30 relative error = 3.8848232050738798806115962290868e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.55 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.43 y[1] (analytic) = 10.296724264300244494489710803369 y[1] (numeric) = 10.296724264300244494489710803372 absolute error = 3e-30 relative error = 2.9135479624343200014088850296132e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.549 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.431 y[1] (analytic) = 10.296969773204228159625876611921 y[1] (numeric) = 10.296969773204228159625876611925 absolute error = 4e-30 relative error = 3.8846379936058347339341191765828e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.548 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.432 y[1] (analytic) = 10.297215385200864504596977459868 y[1] (numeric) = 10.297215385200864504596977459872 absolute error = 4e-30 relative error = 3.8845453361583475050782434668294e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.547 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.433 y[1] (analytic) = 10.297461100292817774991189292238 y[1] (numeric) = 10.297461100292817774991189292241 absolute error = 3e-30 relative error = 2.9133394831806572607243020904128e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.546 Order of pole = 586.8 TOP MAIN SOLVE Loop memory used=423.4MB, alloc=4.6MB, time=18.13 x[1] = 0.434 y[1] (analytic) = 10.297706918482753518813825494686 y[1] (numeric) = 10.297706918482753518813825494689 absolute error = 3e-30 relative error = 2.9132699383932504230536619882902e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.545 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.435 y[1] (analytic) = 10.297952839773338586769051660839 y[1] (numeric) = 10.297952839773338586769051660843 absolute error = 4e-30 relative error = 3.8842671570129673931556980306996e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.544 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.436 y[1] (analytic) = 10.298198864167241132541775992937 y[1] (numeric) = 10.298198864167241132541775992941 absolute error = 4e-30 relative error = 3.8841743617110253427280988505142e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.543 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.437 y[1] (analytic) = 10.298444991667130613079715424606 y[1] (numeric) = 10.29844499166713061307971542461 absolute error = 4e-30 relative error = 3.8840815319560908558466205832386e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.542 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.438 y[1] (analytic) = 10.298691222275677788875637554691 y[1] (numeric) = 10.298691222275677788875637554695 absolute error = 4e-30 relative error = 3.8839886677524149769150133830498e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.541 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.439 y[1] (analytic) = 10.29893755599555472424977848111 y[1] (numeric) = 10.298937555995554724249778481114 absolute error = 4e-30 relative error = 3.8838957691042500178140498551932e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.54 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.44 y[1] (analytic) = 10.299183992829434787632436623804 y[1] (numeric) = 10.299183992829434787632436623808 absolute error = 4e-30 relative error = 3.8838028360158495573658782287567e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.538 Order of pole = 586.8 TOP MAIN SOLVE Loop x[1] = 0.441 y[1] (analytic) = 10.299430532779992651846742625901 y[1] (numeric) = 10.299430532779992651846742625905 absolute error = 4e-30 relative error = 3.8837098684914684407982543658264e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.537 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.442 y[1] (analytic) = 10.299677175849904294391605422291 y[1] (numeric) = 10.299677175849904294391605422295 absolute error = 4e-30 relative error = 3.8836168665353627792086527069298e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.536 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.443 y[1] (analytic) = 10.299923922041846997724834564899 y[1] (numeric) = 10.299923922041846997724834564903 absolute error = 4e-30 relative error = 3.8835238301517899490282562526636e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.535 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.444 y[1] (analytic) = 10.30017077135849934954643889398 y[1] (numeric) = 10.300170771358499349546438893985 absolute error = 5e-30 relative error = 4.8542884491812607393572821017756e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.534 Order of pole = 586.7 TOP MAIN SOLVE Loop memory used=427.2MB, alloc=4.6MB, time=18.29 x[1] = 0.445 y[1] (analytic) = 10.300417723802541243082101644876 y[1] (numeric) = 10.300417723802541243082101644881 absolute error = 5e-30 relative error = 4.8541720676490982650893096288888e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.533 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.446 y[1] (analytic) = 10.300664779376653877366832079699 y[1] (numeric) = 10.300664779376653877366832079704 absolute error = 5e-30 relative error = 4.8540556430985764750002034359940e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.532 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.447 y[1] (analytic) = 10.300911938083519757528793733531 y[1] (numeric) = 10.300911938083519757528793733535 absolute error = 4e-30 relative error = 3.8831513404280187276754720961194e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.531 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.448 y[1] (analytic) = 10.301159199925822695073309364745 y[1] (numeric) = 10.301159199925822695073309364749 absolute error = 4e-30 relative error = 3.8830581319710149501527245304775e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.53 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.449 y[1] (analytic) = 10.301406564906247808167042699183 y[1] (numeric) = 10.301406564906247808167042699188 absolute error = 5e-30 relative error = 4.8537061113901435057529783022374e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.529 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.45 y[1] (analytic) = 10.301654033027481521922357057952 y[1] (numeric) = 10.301654033027481521922357057957 absolute error = 5e-30 relative error = 4.8535895148194806372164610710203e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.528 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.451 y[1] (analytic) = 10.301901604292211568681850958692 y[1] (numeric) = 10.301901604292211568681850958697 absolute error = 5e-30 relative error = 4.8534728752571144318188641336341e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.527 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.452 y[1] (analytic) = 10.302149278703126988303070780255 y[1] (numeric) = 10.30214927870312698830307078026 absolute error = 5e-30 relative error = 4.8533561927083808149279370388738e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.526 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.453 y[1] (analytic) = 10.302397056262918128443400580778 y[1] (numeric) = 10.302397056262918128443400580782 absolute error = 4e-30 relative error = 3.8825915737428938294961208144611e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.525 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.454 y[1] (analytic) = 10.302644936974276644845129159227 y[1] (numeric) = 10.302644936974276644845129159232 absolute error = 5e-30 relative error = 4.8531226986731629222590314520067e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.524 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.455 y[1] (analytic) = 10.302892920839895501620694450568 y[1] (numeric) = 10.302892920839895501620694450573 absolute error = 5e-30 relative error = 4.8530058871973583693233406315712e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.523 Order of pole = 586.7 TOP MAIN SOLVE Loop memory used=431.0MB, alloc=4.6MB, time=18.46 x[1] = 0.456 y[1] (analytic) = 10.303141007862468971538105344753 y[1] (numeric) = 10.303141007862468971538105344758 absolute error = 5e-30 relative error = 4.8528890327565458492351109372599e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.522 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.457 y[1] (analytic) = 10.303389198044692636306541019847 y[1] (numeric) = 10.303389198044692636306541019852 absolute error = 5e-30 relative error = 4.8527721353560691554375285621806e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.521 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.458 y[1] (analytic) = 10.303637491389263386862127879632 y[1] (numeric) = 10.303637491389263386862127879637 absolute error = 5e-30 relative error = 4.8526551950012736529726679035859e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.52 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.459 y[1] (analytic) = 10.303885887898879423653894186143 y[1] (numeric) = 10.303885887898879423653894186148 absolute error = 5e-30 relative error = 4.8525382116975062778090767477653e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.519 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.46 y[1] (analytic) = 10.304134387576240256929902477632 y[1] (numeric) = 10.304134387576240256929902477636 absolute error = 4e-30 relative error = 3.8819369483600924289353698985560e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.518 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.461 y[1] (analytic) = 10.304382990424046707023559862552 y[1] (numeric) = 10.304382990424046707023559862556 absolute error = 4e-30 relative error = 3.8818432930115612030853829574585e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.517 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.462 y[1] (analytic) = 10.304631696445000904640106280222 y[1] (numeric) = 10.304631696445000904640106280226 absolute error = 4e-30 relative error = 3.8817496033166926604668916706977e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.516 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.463 y[1] (analytic) = 10.304880505641806291143280818889 y[1] (numeric) = 10.304880505641806291143280818893 absolute error = 4e-30 relative error = 3.8816558792797693714377467820384e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.515 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.464 y[1] (analytic) = 10.305129418017167618842166182003 y[1] (numeric) = 10.305129418017167618842166182007 absolute error = 4e-30 relative error = 3.8815621209050751604055315032255e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.514 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.465 y[1] (analytic) = 10.305378433573790951278211393583 y[1] (numeric) = 10.305378433573790951278211393587 absolute error = 4e-30 relative error = 3.8814683281968951052889155681095e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.513 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.466 y[1] (analytic) = 10.305627552314383663512432833612 y[1] (numeric) = 10.305627552314383663512432833616 absolute error = 4e-30 relative error = 3.8813745011595155369788906208126e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.512 Order of pole = 586.7 TOP MAIN SOLVE Loop memory used=434.8MB, alloc=4.6MB, time=18.62 x[1] = 0.467 y[1] (analytic) = 10.305876774241654442412793694505 y[1] (numeric) = 10.305876774241654442412793694509 absolute error = 4e-30 relative error = 3.8812806397972240387998870378345e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.511 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.468 y[1] (analytic) = 10.306126099358313286941761949731 y[1] (numeric) = 10.306126099358313286941761949735 absolute error = 4e-30 relative error = 3.8811867441143094459707722840066e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.51 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.469 y[1] (analytic) = 10.306375527667071508444046925773 y[1] (numeric) = 10.306375527667071508444046925776 absolute error = 3e-30 relative error = 2.9108196105862963837992981766463e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.509 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.47 y[1] (analytic) = 10.306625059170641730934514568664 y[1] (numeric) = 10.306625059170641730934514568668 absolute error = 4e-30 relative error = 3.8809988498037725734750262366584e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.508 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.471 y[1] (analytic) = 10.306874693871737891386281496435 y[1] (numeric) = 10.306874693871737891386281496438 absolute error = 3e-30 relative error = 2.9106786383885506641492329924661e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.507 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.472 y[1] (analytic) = 10.307124431773075240018987928839 y[1] (numeric) = 10.307124431773075240018987928842 absolute error = 3e-30 relative error = 2.9106081136966804639813632849858e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.506 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.473 y[1] (analytic) = 10.307374272877370340587249585856 y[1] (numeric) = 10.307374272877370340587249585859 absolute error = 3e-30 relative error = 2.9105375632804401445540772477703e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.505 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.474 y[1] (analytic) = 10.307624217187341070669288646496 y[1] (numeric) = 10.307624217187341070669288646499 absolute error = 3e-30 relative error = 2.9104669871430519573122503455692e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.504 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.475 y[1] (analytic) = 10.307874264705706621955743859521 y[1] (numeric) = 10.307874264705706621955743859524 absolute error = 3e-30 relative error = 2.9103963852877390897893457327687e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.503 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.476 y[1] (analytic) = 10.30812441543518750053865989779 y[1] (numeric) = 10.308124415435187500538659897793 absolute error = 3e-30 relative error = 2.9103257577177256652024549207856e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.502 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.477 y[1] (analytic) = 10.308374669378505527200656047971 y[1] (numeric) = 10.308374669378505527200656047974 absolute error = 3e-30 relative error = 2.9102551044362367420472502701785e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.501 Order of pole = 586.7 TOP MAIN SOLVE Loop memory used=438.7MB, alloc=4.6MB, time=18.79 x[1] = 0.478 y[1] (analytic) = 10.308625026538383837704274327481 y[1] (numeric) = 10.308625026538383837704274327484 absolute error = 3e-30 relative error = 2.9101844254464983136928493823928e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.5 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.479 y[1] (analytic) = 10.308875486917546883081507120553 y[1] (numeric) = 10.308875486917546883081507120556 absolute error = 3e-30 relative error = 2.9101137207517373079765914660666e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.499 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.48 y[1] (analytic) = 10.309126050518720429923504425424 y[1] (numeric) = 10.309126050518720429923504425427 absolute error = 3e-30 relative error = 2.9100429903551815867987257528155e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.498 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.481 y[1] (analytic) = 10.309376717344631560670460804708 y[1] (numeric) = 10.30937671734463156067046080471 absolute error = 2e-30 relative error = 1.9399814895067066304780080249446e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.497 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.482 y[1] (analytic) = 10.309627487398008673901682131087 y[1] (numeric) = 10.309627487398008673901682131089 absolute error = 2e-30 relative error = 1.9399343016464014090274889448768e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.496 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.483 y[1] (analytic) = 10.309878360681581484625832220543 y[1] (numeric) = 10.309878360681581484625832220545 absolute error = 2e-30 relative error = 1.9398870966580258346184142042415e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.495 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.484 y[1] (analytic) = 10.310129337198081024571359445402 y[1] (numeric) = 10.310129337198081024571359445405 absolute error = 3e-30 relative error = 2.9097598118156014549731927977162e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.494 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.485 y[1] (analytic) = 10.310380416950239642477103419568 y[1] (numeric) = 10.310380416950239642477103419571 absolute error = 3e-30 relative error = 2.9096889529585227488100004508103e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.493 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.486 y[1] (analytic) = 10.310631599940791004383081848369 y[1] (numeric) = 10.310631599940791004383081848372 absolute error = 3e-30 relative error = 2.9096180684190360911992945773128e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.492 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.487 y[1] (analytic) = 10.310882886172470093921457635541 y[1] (numeric) = 10.310882886172470093921457635544 absolute error = 3e-30 relative error = 2.9095471582003758711255981009871e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.491 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.488 y[1] (analytic) = 10.311134275648013212607686339926 y[1] (numeric) = 10.311134275648013212607686339929 absolute error = 3e-30 relative error = 2.9094762223057774083906940663710e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.49 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.489 y[1] (analytic) = 10.311385768370157980131844074549 y[1] (numeric) = 10.311385768370157980131844074552 absolute error = 3e-30 relative error = 2.9094052607384769532075258711855e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.489 Order of pole = 586.7 memory used=442.5MB, alloc=4.6MB, time=18.96 TOP MAIN SOLVE Loop x[1] = 0.49 y[1] (analytic) = 10.311637364341643334650135940814 y[1] (numeric) = 10.311637364341643334650135940817 absolute error = 3e-30 relative error = 2.9093342735017116857940102973847e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.488 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.491 y[1] (analytic) = 10.311889063565209533076585090624 y[1] (numeric) = 10.311889063565209533076585090627 absolute error = 3e-30 relative error = 2.9092632605987197159667634157595e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.487 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.492 y[1] (analytic) = 10.312140866043598151374902509317 y[1] (numeric) = 10.312140866043598151374902509321 absolute error = 4e-30 relative error = 3.8789229627103201103129859186705e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.486 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.493 y[1] (analytic) = 10.312392771779552084850537612386 y[1] (numeric) = 10.31239277177955208485053761239 absolute error = 4e-30 relative error = 3.8788282104093503385237101308601e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.485 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.494 y[1] (analytic) = 10.312644780775815548442909749002 y[1] (numeric) = 10.312644780775815548442909749006 absolute error = 4e-30 relative error = 3.8787334238997048341534561563584e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.484 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.495 y[1] (analytic) = 10.312896893035134077017820705476 y[1] (numeric) = 10.312896893035134077017820705481 absolute error = 5e-30 relative error = 4.8482982539821325367476672690114e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.483 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.496 y[1] (analytic) = 10.313149108560254525660048301838 y[1] (numeric) = 10.313149108560254525660048301842 absolute error = 4e-30 relative error = 3.8785437482716775932083523100375e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.482 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.497 y[1] (analytic) = 10.313401427353925069966121174786 y[1] (numeric) = 10.31340142735392506996612117479 absolute error = 4e-30 relative error = 3.8784488591619444307470265180257e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.481 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.498 y[1] (analytic) = 10.313653849418895206337274840372 y[1] (numeric) = 10.313653849418895206337274840376 absolute error = 4e-30 relative error = 3.8783539358608326828468678134094e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.48 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.499 y[1] (analytic) = 10.313906374757915752272589129815 y[1] (numeric) = 10.313906374757915752272589129819 absolute error = 4e-30 relative error = 3.8782589783726697254677595203719e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.479 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.5 y[1] (analytic) = 10.31415900337373884666230709194 y[1] (numeric) = 10.314159003373738846662307091945 absolute error = 5e-30 relative error = 4.8477049833772302114425213702492e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.478 Order of pole = 586.7 TOP MAIN SOLVE Loop memory used=446.3MB, alloc=4.6MB, time=19.12 x[1] = 0.501 y[1] (analytic) = 10.314411735269117950081335455823 y[1] (numeric) = 10.314411735269117950081335455827 absolute error = 4e-30 relative error = 3.8780689608525058584915331445566e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.477 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.502 y[1] (analytic) = 10.314664570446807845082926747258 y[1] (numeric) = 10.314664570446807845082926747262 absolute error = 4e-30 relative error = 3.8779739008291658715648073587556e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.476 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.503 y[1] (analytic) = 10.314917508909564636492543152795 y[1] (numeric) = 10.314917508909564636492543152799 absolute error = 4e-30 relative error = 3.8778788066360965194138614948661e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.475 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.504 y[1] (analytic) = 10.31517055066014575170190222512 y[1] (numeric) = 10.315170550660145751701902225124 absolute error = 4e-30 relative error = 3.8777836782776313454910394745352e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.474 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.505 y[1] (analytic) = 10.31542369570130994096320452366 y[1] (numeric) = 10.315423695701309940963204523664 absolute error = 4e-30 relative error = 3.8776885157581051251176927173681e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.473 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.506 y[1] (analytic) = 10.315676944035817277683543284353 y[1] (numeric) = 10.315676944035817277683543284357 absolute error = 4e-30 relative error = 3.8775933190818538649407508027265e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.472 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.507 y[1] (analytic) = 10.315930295666429158719496212617 y[1] (numeric) = 10.315930295666429158719496212621 absolute error = 4e-30 relative error = 3.8774980882532148023891775607934e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.471 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.508 y[1] (analytic) = 10.3161837505959083046718994936 y[1] (numeric) = 10.316183750595908304671899493604 absolute error = 4e-30 relative error = 3.8774028232765264051303126927596e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.469 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.509 y[1] (analytic) = 10.316437308827018760180804113904 y[1] (numeric) = 10.316437308827018760180804113907 absolute error = 3e-30 relative error = 2.9079806431170962778945742649810e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.468 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.51 y[1] (analytic) = 10.31669097036252589422061458902 y[1] (numeric) = 10.316690970362525894220614589023 absolute error = 3e-30 relative error = 2.9079091431722712188168965964345e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.467 Order of pole = 586.7 TOP MAIN SOLVE Loop x[1] = 0.511 y[1] (analytic) = 10.316944735205196400395410190816 y[1] (numeric) = 10.316944735205196400395410190819 absolute error = 3e-30 relative error = 2.9078376176261762429542318820934e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.466 Order of pole = 586.7 TOP MAIN SOLVE Loop memory used=450.1MB, alloc=4.6MB, time=19.29 x[1] = 0.512 y[1] (analytic) = 10.317198603357798297234448769471 y[1] (numeric) = 10.317198603357798297234448769474 absolute error = 3e-30 relative error = 2.9077660664820688876930602200166e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.465 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.513 y[1] (analytic) = 10.317452574823100928487853264341 y[1] (numeric) = 10.317452574823100928487853264344 absolute error = 3e-30 relative error = 2.9076944897432076110586395107488e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.464 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.514 y[1] (analytic) = 10.317706649603874963422480998318 y[1] (numeric) = 10.317706649603874963422480998321 absolute error = 3e-30 relative error = 2.9076228874128517913067481260383e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.463 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.515 y[1] (analytic) = 10.317960827702892397117975850307 y[1] (numeric) = 10.31796082770289239711797585031 absolute error = 3e-30 relative error = 2.9075512594942617265153422485614e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.462 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.516 y[1] (analytic) = 10.318215109122926550763003400546 y[1] (numeric) = 10.318215109122926550763003400549 absolute error = 3e-30 relative error = 2.9074796059906986341761279575221e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.461 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.517 y[1] (analytic) = 10.318469493866752071951669143544 y[1] (numeric) = 10.318469493866752071951669143547 absolute error = 3e-30 relative error = 2.9074079269054246507860481350037e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.46 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.518 y[1] (analytic) = 10.318723981937144934980119863506 y[1] (numeric) = 10.31872398193714493498011986351 absolute error = 4e-30 relative error = 3.8764482963222704419182456905859e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.459 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.519 y[1] (analytic) = 10.318978573336882441143328267196 y[1] (numeric) = 10.3189785733368824411433282672 absolute error = 4e-30 relative error = 3.8763526560037295325540976274245e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.458 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.52 y[1] (analytic) = 10.319233268068743219032060969235 y[1] (numeric) = 10.31923326806874321903206096924 absolute error = 5e-30 relative error = 4.8453212269866208262957317537476e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.457 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.521 y[1] (analytic) = 10.319488066135507224830029924958 y[1] (numeric) = 10.319488066135507224830029924963 absolute error = 5e-30 relative error = 4.8452015913541577982588999258039e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.456 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.522 y[1] (analytic) = 10.319742967539955742611227405975 y[1] (numeric) = 10.31974296753995574261122740598 absolute error = 5e-30 relative error = 4.8450819131127173739028839817082e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.455 Order of pole = 586.6 TOP MAIN SOLVE Loop memory used=453.9MB, alloc=4.6MB, time=19.45 x[1] = 0.523 y[1] (analytic) = 10.319997972284871384637444613708 y[1] (numeric) = 10.319997972284871384637444613712 absolute error = 4e-30 relative error = 3.8759697538141964985085846412372e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.454 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.524 y[1] (analytic) = 10.320253080373038091655974026216 y[1] (numeric) = 10.32025308037303809165597402622 absolute error = 4e-30 relative error = 3.8758739430597521142167450351755e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.453 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.525 y[1] (analytic) = 10.320508291807241133197495573726 y[1] (numeric) = 10.32050829180724113319749557373 absolute error = 4e-30 relative error = 3.8757780982312000446763472069421e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.452 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.526 y[1] (analytic) = 10.320763606590267107874146738335 y[1] (numeric) = 10.32076360659026710787414673834 absolute error = 5e-30 relative error = 4.8446027741661260109375179064207e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.451 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.527 y[1] (analytic) = 10.321019024724903943677776673462 y[1] (numeric) = 10.321019024724903943677776673467 absolute error = 5e-30 relative error = 4.8444828829615201814845244112507e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.45 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.528 y[1] (analytic) = 10.321274546213940898278384438665 y[1] (numeric) = 10.321274546213940898278384438671 absolute error = 6e-30 relative error = 5.8132355390167635181205386437478e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.449 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.529 y[1] (analytic) = 10.321530171060168559322741445563 y[1] (numeric) = 10.321530171060168559322741445569 absolute error = 6e-30 relative error = 5.8130915673947153794720698506934e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.448 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.53 y[1] (analytic) = 10.321785899266378844733198210627 y[1] (numeric) = 10.321785899266378844733198210633 absolute error = 6e-30 relative error = 5.8129475446942278945394418999023e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.447 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.531 y[1] (analytic) = 10.322041730835365003006675510733 y[1] (numeric) = 10.322041730835365003006675510738 absolute error = 5e-30 relative error = 4.8440028924348758188169808039528e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.446 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.532 y[1] (analytic) = 10.322297665769921613513840037408 y[1] (numeric) = 10.322297665769921613513840037414 absolute error = 6e-30 relative error = 5.8126593460841363885873368080357e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.445 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.533 y[1] (analytic) = 10.322553704072844586798464645811 y[1] (numeric) = 10.322553704072844586798464645817 absolute error = 6e-30 relative error = 5.8125151701876376824677912205191e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.444 Order of pole = 586.6 TOP MAIN SOLVE Loop memory used=457.7MB, alloc=4.6MB, time=19.61 x[1] = 0.534 y[1] (analytic) = 10.322809845746931164876973294527 y[1] (numeric) = 10.322809845746931164876973294533 absolute error = 6e-30 relative error = 5.8123709432389102582243186458336e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.443 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.535 y[1] (analytic) = 10.323066090794979921538170772383 y[1] (numeric) = 10.323066090794979921538170772389 absolute error = 6e-30 relative error = 5.8122266652445113331345391416555e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.442 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.536 y[1] (analytic) = 10.323322439219790762643157308526 y[1] (numeric) = 10.323322439219790762643157308532 absolute error = 6e-30 relative error = 5.8120823362109999469308798266621e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.441 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.537 y[1] (analytic) = 10.323578891024164926425428162105 y[1] (numeric) = 10.323578891024164926425428162111 absolute error = 6e-30 relative error = 5.8119379561449369609801729629764e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.44 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.538 y[1] (analytic) = 10.323835446210904983791158287977 y[1] (numeric) = 10.323835446210904983791158287983 absolute error = 6e-30 relative error = 5.8117935250528850574630868237396e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.439 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.539 y[1] (analytic) = 10.324092104782814838619672174921 y[1] (numeric) = 10.324092104782814838619672174927 absolute error = 6e-30 relative error = 5.8116490429414087385533894954605e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.438 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.54 y[1] (analytic) = 10.324348866742699728064098952939 y[1] (numeric) = 10.324348866742699728064098952946 absolute error = 7e-30 relative error = 6.7800885947865867131965533922419e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.437 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.541 y[1] (analytic) = 10.324605732093366222852212866297 y[1] (numeric) = 10.324605732093366222852212866304 absolute error = 7e-30 relative error = 6.7799199133008582846730051124847e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.436 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.542 y[1] (analytic) = 10.324862700837622227587459209017 y[1] (numeric) = 10.324862700837622227587459209024 absolute error = 7e-30 relative error = 6.7797511723154565261731218272767e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.435 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.543 y[1] (analytic) = 10.32511977297827698105016581965 y[1] (numeric) = 10.325119772978276981050165819657 absolute error = 7e-30 relative error = 6.7795823718380485072882843822173e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.434 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.544 y[1] (analytic) = 10.325376948518141056498940232197 y[1] (numeric) = 10.325376948518141056498940232204 absolute error = 7e-30 relative error = 6.7794135118763034161446113874900e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.433 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.545 y[1] (analytic) = 10.325634227460026361972252580154 y[1] (numeric) = 10.325634227460026361972252580161 absolute error = 7e-30 relative error = 6.7792445924378925584442678633088e-29 % Correct digits = 30 h = 0.001 memory used=461.6MB, alloc=4.6MB, time=19.78 Real estimate of pole used for equation 1 Radius of convergence = 7.432 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.546 y[1] (analytic) = 10.325891609806746140590204350712 y[1] (numeric) = 10.325891609806746140590204350719 absolute error = 7e-30 relative error = 6.7790756135304893565065801978646e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.431 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.547 y[1] (analytic) = 10.326149095561114970856483086244 y[1] (numeric) = 10.326149095561114970856483086251 absolute error = 7e-30 relative error = 6.7789065751617693483089575923000e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.43 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.548 y[1] (analytic) = 10.326406684725948766960503130273 y[1] (numeric) = 10.32640668472594876696050313028 absolute error = 7e-30 relative error = 6.7787374773394101865276201672437e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.429 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.549 y[1] (analytic) = 10.326664377304064779079732515199 y[1] (numeric) = 10.326664377304064779079732515206 absolute error = 7e-30 relative error = 6.7785683200710916375781339054284e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.428 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.55 y[1] (analytic) = 10.326922173298281593682206089148 y[1] (numeric) = 10.326922173298281593682206089155 absolute error = 7e-30 relative error = 6.7783991033644955806557526049025e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.427 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.551 y[1] (analytic) = 10.327180072711419133829224979373 y[1] (numeric) = 10.32718007271141913382922497938 absolute error = 7e-30 relative error = 6.7782298272273060067755670173489e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.426 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.552 y[1] (analytic) = 10.327438075546298659478242489731 y[1] (numeric) = 10.327438075546298659478242489738 absolute error = 7e-30 relative error = 6.7780604916672090178124613460066e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.425 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.553 y[1] (analytic) = 10.327696181805742767785936529817 y[1] (numeric) = 10.327696181805742767785936529824 absolute error = 7e-30 relative error = 6.7778910966918928255408772776978e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.424 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.554 y[1] (analytic) = 10.327954391492575393411468673449 y[1] (numeric) = 10.327954391492575393411468673456 absolute error = 7e-30 relative error = 6.7777216423090477506743857234360e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.423 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.555 y[1] (analytic) = 10.328212704609621808819929944237 y[1] (numeric) = 10.328212704609621808819929944244 absolute error = 7e-30 relative error = 6.7775521285263662219050664421063e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.422 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.556 y[1] (analytic) = 10.328471121159708624585973426081 y[1] (numeric) = 10.328471121159708624585973426087 absolute error = 6e-30 relative error = 5.8091850474441795213794534757302e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.421 Order of pole = 586.6 TOP MAIN SOLVE Loop memory used=465.4MB, alloc=4.6MB, time=19.94 x[1] = 0.557 y[1] (analytic) = 10.328729641145663789697633796505 y[1] (numeric) = 10.328729641145663789697633796512 absolute error = 7e-30 relative error = 6.7772129227922740515537422924665e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.42 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.558 y[1] (analytic) = 10.328988264570316591860333880825 y[1] (numeric) = 10.328988264570316591860333880832 absolute error = 7e-30 relative error = 6.7770432308562587986001716467482e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.419 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.559 y[1] (analytic) = 10.329246991436497657801078325207 y[1] (numeric) = 10.329246991436497657801078325214 absolute error = 7e-30 relative error = 6.7768734795511978670780589394407e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.418 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.56 y[1] (analytic) = 10.329505821747038953572834486781 y[1] (numeric) = 10.329505821747038953572834486788 absolute error = 7e-30 relative error = 6.7767036688847942111560106440299e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.417 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.561 y[1] (analytic) = 10.329764755504773784859100639035 y[1] (numeric) = 10.329764755504773784859100639042 absolute error = 7e-30 relative error = 6.7765337988647528872133951383339e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.416 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.562 y[1] (analytic) = 10.330023792712536797278661590795 y[1] (numeric) = 10.330023792712536797278661590802 absolute error = 7e-30 relative error = 6.7763638694987810528783823944844e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.415 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.563 y[1] (analytic) = 10.330282933373163976690531817187 y[1] (numeric) = 10.330282933373163976690531817194 absolute error = 7e-30 relative error = 6.7761938807945879660657929475497e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.414 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.564 y[1] (analytic) = 10.330542177489492649499086201043 y[1] (numeric) = 10.33054217748949264949908620105 absolute error = 7e-30 relative error = 6.7760238327598849840147563172153e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.413 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.565 y[1] (analytic) = 10.33080152506436148295937848331 y[1] (numeric) = 10.330801525064361482959378483317 absolute error = 7e-30 relative error = 6.7758537254023855623261790569214e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.412 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.566 y[1] (analytic) = 10.331060976100610485482647521079 y[1] (numeric) = 10.331060976100610485482647521086 absolute error = 7e-30 relative error = 6.7756835587298052540000226048615e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.411 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.567 y[1] (analytic) = 10.331320530601081006942011451954 y[1] (numeric) = 10.331320530601081006942011451961 absolute error = 7e-30 relative error = 6.7755133327498617084723911112255e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.41 Order of pole = 586.6 TOP MAIN SOLVE Loop memory used=469.2MB, alloc=4.6MB, time=20.11 x[1] = 0.568 y[1] (analytic) = 10.331580188568615738978349863544 y[1] (numeric) = 10.331580188568615738978349863551 absolute error = 7e-30 relative error = 6.7753430474702746706524294160691e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.409 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.569 y[1] (analytic) = 10.331839950006058715306374066948 y[1] (numeric) = 10.331839950006058715306374066956 absolute error = 8e-30 relative error = 7.7430545175985896913817501167835e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.408 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.57 y[1] (analytic) = 10.332099814916255312020885573189 y[1] (numeric) = 10.332099814916255312020885573196 absolute error = 7e-30 relative error = 6.7750022990430595693573585473370e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.407 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.571 y[1] (analytic) = 10.332359783302052247903222871609 y[1] (numeric) = 10.332359783302052247903222871617 absolute error = 8e-30 relative error = 7.7426649553267216735944798859595e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.406 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.572 y[1] (analytic) = 10.332619855166297584727896609366 y[1] (numeric) = 10.332619855166297584727896609374 absolute error = 8e-30 relative error = 7.7424700725828111797016707479496e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.405 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.573 y[1] (analytic) = 10.332880030511840727569413271188 y[1] (numeric) = 10.332880030511840727569413271196 absolute error = 8e-30 relative error = 7.7422751221120282636684799943777e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.404 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.574 y[1] (analytic) = 10.333140309341532425109287458685 y[1] (numeric) = 10.333140309341532425109287458693 absolute error = 8e-30 relative error = 7.7420801039232098369367783904650e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.403 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.575 y[1] (analytic) = 10.333400691658224769943242868551 y[1] (numeric) = 10.333400691658224769943242868559 absolute error = 8e-30 relative error = 7.7418850180251951980638943000396e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.402 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.576 y[1] (analytic) = 10.333661177464771198888602069102 y[1] (numeric) = 10.333661177464771198888602069109 absolute error = 7e-30 relative error = 6.7739786313734727776676724344483e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.401 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.577 y[1] (analytic) = 10.333921766764026493291865174649 y[1] (numeric) = 10.333921766764026493291865174657 absolute error = 8e-30 relative error = 7.7414946431369464070864652249198e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.4 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.578 y[1] (analytic) = 10.334182459558846779336477517319 y[1] (numeric) = 10.334182459558846779336477517327 absolute error = 8e-30 relative error = 7.7412993541644027777510397142179e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.399 Order of pole = 586.6 TOP MAIN SOLVE Loop memory used=473.0MB, alloc=4.6MB, time=20.27 x[1] = 0.579 y[1] (analytic) = 10.334443255852089528350786415974 y[1] (numeric) = 10.334443255852089528350786415982 absolute error = 8e-30 relative error = 7.7411039975180439796067623390286e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.398 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.58 y[1] (analytic) = 10.33470415564661355711618714201 y[1] (numeric) = 10.334704155646613557116187142017 absolute error = 7e-30 relative error = 6.7732950015558810764667371762473e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.397 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.581 y[1] (analytic) = 10.334965158945279028175458181847 y[1] (numeric) = 10.334965158945279028175458181855 absolute error = 8e-30 relative error = 7.7407130812392881277656523319399e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.396 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.582 y[1] (analytic) = 10.335226265750947450141285896054 y[1] (numeric) = 10.335226265750947450141285896062 absolute error = 8e-30 relative error = 7.7405175216246006496464507089256e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.395 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.583 y[1] (analytic) = 10.33548747606648167800497867508 y[1] (numeric) = 10.335487476066481678004978675088 absolute error = 8e-30 relative error = 7.7403218943715171516660358668722e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.394 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.584 y[1] (analytic) = 10.335748789894745913445370691694 y[1] (numeric) = 10.335748789894745913445370691702 absolute error = 8e-30 relative error = 7.7401261994888983667863272927869e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.393 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.585 y[1] (analytic) = 10.336010207238605705137915350283 y[1] (numeric) = 10.33601020723860570513791535029 absolute error = 7e-30 relative error = 6.7724391323624064785445172085520e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.392 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.586 y[1] (analytic) = 10.336271728100927949063968533249 y[1] (numeric) = 10.336271728100927949063968533256 absolute error = 7e-30 relative error = 6.7722677810116960290452705035597e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.391 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.587 y[1] (analytic) = 10.336533352484580888820261744841 y[1] (numeric) = 10.336533352484580888820261744848 absolute error = 7e-30 relative error = 6.7720963705084140980966056577929e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.39 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.588 y[1] (analytic) = 10.336795080392434115928565252813 y[1] (numeric) = 10.33679508039243411592856525282 absolute error = 7e-30 relative error = 6.7719249008603221375262324137848e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.389 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.589 y[1] (analytic) = 10.337056911827358570145541328399 y[1] (numeric) = 10.337056911827358570145541328406 absolute error = 7e-30 relative error = 6.7717533720751836743662122729825e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.388 Order of pole = 586.6 TOP MAIN SOLVE Loop memory used=476.8MB, alloc=4.6MB, time=20.43 x[1] = 0.59 y[1] (analytic) = 10.337318846792226539772787685182 y[1] (numeric) = 10.337318846792226539772787685189 absolute error = 7e-30 relative error = 6.7715817841607643098857238885231e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.387 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.591 y[1] (analytic) = 10.337580885289911661967071217493 y[1] (numeric) = 10.337580885289911661967071217501 absolute error = 8e-30 relative error = 7.7387544424283791069984487051521e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.386 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.592 y[1] (analytic) = 10.337843027323288923050752139085 y[1] (numeric) = 10.337843027323288923050752139093 absolute error = 8e-30 relative error = 7.7385582068287493113382107467814e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.385 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.593 y[1] (analytic) = 10.338105272895234658822398622879 y[1] (numeric) = 10.338105272895234658822398622887 absolute error = 8e-30 relative error = 7.7383619036794376165175590553630e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.384 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.594 y[1] (analytic) = 10.338367622008626554867592042699 y[1] (numeric) = 10.338367622008626554867592042707 absolute error = 8e-30 relative error = 7.7381655329893284665840216080343e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.383 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.595 y[1] (analytic) = 10.338630074666343646869922917954 y[1] (numeric) = 10.338630074666343646869922917961 absolute error = 7e-30 relative error = 6.7707229579213950867851455678510e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.382 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.596 y[1] (analytic) = 10.338892630871266320922177662332 y[1] (numeric) = 10.338892630871266320922177662339 absolute error = 7e-30 relative error = 6.7705510153944839763948040622520e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.381 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.597 y[1] (analytic) = 10.339155290626276313837716237656 y[1] (numeric) = 10.339155290626276313837716237663 absolute error = 7e-30 relative error = 6.7703790137927091709208354021361e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.38 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.598 y[1] (analytic) = 10.339418053934256713462040814111 y[1] (numeric) = 10.339418053934256713462040814118 absolute error = 7e-30 relative error = 6.7702069531238528306866452457763e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.379 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.599 y[1] (analytic) = 10.33968092079809195898455553816 y[1] (numeric) = 10.339680920798091958984555538167 absolute error = 7e-30 relative error = 6.7700348333956991815393029906643e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.378 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.6 y[1] (analytic) = 10.339943891220667841250517509523 y[1] (numeric) = 10.339943891220667841250517509531 absolute error = 8e-30 relative error = 7.7369858909897537301490932485584e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.377 Order of pole = 586.6 TOP MAIN SOLVE Loop memory used=480.6MB, alloc=4.6MB, time=20.60 x[1] = 0.601 y[1] (analytic) = 10.340206965204871503073179068712 y[1] (numeric) = 10.340206965204871503073179068719 absolute error = 7e-30 relative error = 6.7696904167926471816970632843003e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.376 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.602 y[1] (analytic) = 10.34047014275359143954612149664 y[1] (numeric) = 10.340470142753591439546121496647 absolute error = 7e-30 relative error = 6.7695181199333276015919363699535e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.375 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.603 y[1] (analytic) = 10.34073342386971749835578022798 y[1] (numeric) = 10.340733423869717498355780227987 absolute error = 7e-30 relative error = 6.7693457640458682518141082658472e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.374 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.604 y[1] (analytic) = 10.340996808556140880094161679955 y[1] (numeric) = 10.340996808556140880094161679962 absolute error = 7e-30 relative error = 6.7691733491380636712890099650335e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.373 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.605 y[1] (analytic) = 10.341260296815754138571751798381 y[1] (numeric) = 10.341260296815754138571751798387 absolute error = 6e-30 relative error = 5.8020007501866089645558289408953e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.372 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.606 y[1] (analytic) = 10.341523888651451181130616422837 y[1] (numeric) = 10.341523888651451181130616422844 absolute error = 7e-30 relative error = 6.7688283422926072712605127621304e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.371 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.607 y[1] (analytic) = 10.341787584066127268957693572938 y[1] (numeric) = 10.341787584066127268957693572944 absolute error = 6e-30 relative error = 5.8017049288890469922220148284957e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.37 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.608 y[1] (analytic) = 10.342051383062679017398277757735 y[1] (numeric) = 10.342051383062679017398277757741 absolute error = 6e-30 relative error = 5.8015569423937336196341158769674e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.369 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.609 y[1] (analytic) = 10.342315285644004396269696410408 y[1] (numeric) = 10.342315285644004396269696410414 absolute error = 6e-30 relative error = 5.8014089053429845385342022003871e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.368 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.61 y[1] (analytic) = 10.342579291813002730175178550435 y[1] (numeric) = 10.342579291813002730175178550441 absolute error = 6e-30 relative error = 5.8012608177434913625857018940150e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.367 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.611 y[1] (analytic) = 10.342843401572574698817915775551 y[1] (numeric) = 10.342843401572574698817915775557 absolute error = 6e-30 relative error = 5.8011126796019474659227824262687e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.366 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.612 y[1] (analytic) = 10.343107614925622337315315685875 y[1] (numeric) = 10.343107614925622337315315685881 absolute error = 6e-30 relative error = 5.8009644909250479823178224448838e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.365 Order of pole = 586.6 memory used=484.4MB, alloc=4.6MB, time=20.76 TOP MAIN SOLVE Loop x[1] = 0.613 y[1] (analytic) = 10.343371931875049036513447842667 y[1] (numeric) = 10.343371931875049036513447842673 absolute error = 6e-30 relative error = 5.8008162517194898043487275730006e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.364 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.614 y[1] (analytic) = 10.343636352423759543301682364257 y[1] (numeric) = 10.343636352423759543301682364263 absolute error = 6e-30 relative error = 5.8006679619919715825660903442653e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.363 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.615 y[1] (analytic) = 10.343900876574659960927521261784 y[1] (numeric) = 10.34390087657465996092752126179 absolute error = 6e-30 relative error = 5.8005196217491937246601944260150e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.362 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.616 y[1] (analytic) = 10.344165504330657749311622617457 y[1] (numeric) = 10.344165504330657749311622617463 absolute error = 6e-30 relative error = 5.8003712309978583946278632796115e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.361 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.617 y[1] (analytic) = 10.34443023569466172536301770813 y[1] (numeric) = 10.344430235694661725363017708135 absolute error = 5e-30 relative error = 4.8335189914538912599492945058197e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.36 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.618 y[1] (analytic) = 10.34469507066958206329452117707 y[1] (numeric) = 10.344695070669582063294521177076 absolute error = 6e-30 relative error = 5.8000742979963327507038923324213e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.359 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.619 y[1] (analytic) = 10.344960009258330294938334356899 y[1] (numeric) = 10.344960009258330294938334356904 absolute error = 5e-30 relative error = 4.8332714631329629490317178905402e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.358 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.62 y[1] (analytic) = 10.345225051463819310061841846727 y[1] (numeric) = 10.345225051463819310061841846733 absolute error = 6e-30 relative error = 5.7997771630410470572300240162142e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.357 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.621 y[1] (analytic) = 10.345490197288963356683601446643 y[1] (numeric) = 10.345490197288963356683601446649 absolute error = 6e-30 relative error = 5.7996285198475182389065980452018e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.356 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.622 y[1] (analytic) = 10.345755446736678041389527552747 y[1] (numeric) = 10.345755446736678041389527552753 absolute error = 6e-30 relative error = 5.7994798261856817681989749082702e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.355 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.623 y[1] (analytic) = 10.346020799809880329649268116043 y[1] (numeric) = 10.346020799809880329649268116049 absolute error = 6e-30 relative error = 5.7993310820622520799084831340172e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.354 Order of pole = 586.6 TOP MAIN SOLVE Loop memory used=488.3MB, alloc=4.6MB, time=20.92 x[1] = 0.624 y[1] (analytic) = 10.346286256511488546132775268568 y[1] (numeric) = 10.346286256511488546132775268574 absolute error = 6e-30 relative error = 5.7991822874839453584721979496482e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.353 Order of pole = 586.6 TOP MAIN SOLVE Loop x[1] = 0.625 y[1] (analytic) = 10.346551816844422375027069720224 y[1] (numeric) = 10.34655181684442237502706972023 absolute error = 6e-30 relative error = 5.7990334424574795371283965819253e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.352 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.626 y[1] (analytic) = 10.346817480811602860353199029865 y[1] (numeric) = 10.346817480811602860353199029871 absolute error = 6e-30 relative error = 5.7988845469895742970818594853584e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.351 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.627 y[1] (analytic) = 10.347083248415952406283389854275 y[1] (numeric) = 10.347083248415952406283389854282 absolute error = 7e-30 relative error = 6.7651915346014429111138539210212e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.35 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.628 y[1] (analytic) = 10.347349119660394777458394278756 y[1] (numeric) = 10.347349119660394777458394278763 absolute error = 7e-30 relative error = 6.7650177055490551906101037995652e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.349 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.629 y[1] (analytic) = 10.347615094547855099305030333124 y[1] (numeric) = 10.347615094547855099305030333131 absolute error = 7e-30 relative error = 6.7648438176718525918612378843414e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.348 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.63 y[1] (analytic) = 10.347881173081259858353916797012 y[1] (numeric) = 10.347881173081259858353916797019 absolute error = 7e-30 relative error = 6.7646698709776828903747738149234e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.347 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.631 y[1] (analytic) = 10.348147355263536902557402398445 y[1] (numeric) = 10.348147355263536902557402398452 absolute error = 7e-30 relative error = 6.7644958654743958960807166362136e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.346 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.632 y[1] (analytic) = 10.348413641097615441607689509742 y[1] (numeric) = 10.348413641097615441607689509749 absolute error = 7e-30 relative error = 6.7643218011698434523566687042528e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.345 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.633 y[1] (analytic) = 10.348680030586426047255152444896 y[1] (numeric) = 10.348680030586426047255152444902 absolute error = 6e-30 relative error = 5.7978408669187538014737951914166e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.344 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.634 y[1] (analytic) = 10.348946523732900653626850462643 y[1] (numeric) = 10.34894652373290065362685046265 absolute error = 7e-30 relative error = 6.7639734961883597515164064213538e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.343 Order of pole = 586.5 TOP MAIN SOLVE Loop memory used=492.1MB, alloc=4.6MB, time=21.08 x[1] = 0.635 y[1] (analytic) = 10.349213120539972557545235579553 y[1] (numeric) = 10.34921312053997255754523557956 absolute error = 7e-30 relative error = 6.7637992555271423396168740373671e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.342 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.636 y[1] (analytic) = 10.349479821010576418847055297511 y[1] (numeric) = 10.349479821010576418847055297518 absolute error = 7e-30 relative error = 6.7636249560960871667696864611840e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.341 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.637 y[1] (analytic) = 10.349746625147648260702450350094 y[1] (numeric) = 10.349746625147648260702450350101 absolute error = 7e-30 relative error = 6.7634505979030562289608385324864e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.34 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.638 y[1] (analytic) = 10.350013532954125469934247572394 y[1] (numeric) = 10.350013532954125469934247572401 absolute error = 7e-30 relative error = 6.7632761809559135497708386728043e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.339 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.639 y[1] (analytic) = 10.350280544432946797337447998942 y[1] (numeric) = 10.350280544432946797337447998949 absolute error = 7e-30 relative error = 6.7631017052625251793985726907429e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.338 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.64 y[1] (analytic) = 10.350547659587052357998910294472 y[1] (numeric) = 10.350547659587052357998910294478 absolute error = 6e-30 relative error = 5.7967947178549364517299916577603e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.337 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.641 y[1] (analytic) = 10.350814878419383631617229622334 y[1] (numeric) = 10.350814878419383631617229622341 absolute error = 7e-30 relative error = 6.7627525776684856931366142954883e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.336 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.642 y[1] (analytic) = 10.351082200932883462822812055484 y[1] (numeric) = 10.351082200932883462822812055491 absolute error = 7e-30 relative error = 6.7625779257835768019488732460042e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.335 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.643 y[1] (analytic) = 10.351349627130496061498144635014 y[1] (numeric) = 10.35134962713049606149814463502 absolute error = 6e-30 relative error = 5.7963456130147771431679343447814e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.334 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.644 y[1] (analytic) = 10.351617157015167003098261181319 y[1] (numeric) = 10.351617157015167003098261181326 absolute error = 7e-30 relative error = 6.7622284458773514570202944685060e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.333 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.645 y[1] (analytic) = 10.351884790589843228971403963063 y[1] (numeric) = 10.35188479058984322897140396307 absolute error = 7e-30 relative error = 6.7620536178717893613223587267277e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.332 Order of pole = 586.5 TOP MAIN SOLVE Loop memory used=495.9MB, alloc=4.6MB, time=21.25 x[1] = 0.646 y[1] (analytic) = 10.352152527857473046679881329172 y[1] (numeric) = 10.352152527857473046679881329179 absolute error = 7e-30 relative error = 6.7618787311751005891162905813939e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.331 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.647 y[1] (analytic) = 10.352420368821006130321121409212 y[1] (numeric) = 10.35242036882100613032112140922 absolute error = 8e-30 relative error = 7.7276614694801912781552571422851e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.329 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.648 y[1] (analytic) = 10.352688313483393520848921987557 y[1] (numeric) = 10.352688313483393520848921987565 absolute error = 8e-30 relative error = 7.7274614648455702227885600218294e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.328 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.649 y[1] (analytic) = 10.352956361847587626394896656847 y[1] (numeric) = 10.352956361847587626394896656855 absolute error = 8e-30 relative error = 7.7272613931624075216399487618342e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.327 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.65 y[1] (analytic) = 10.35322451391654222259011735634 y[1] (numeric) = 10.353224513916542222590117356348 absolute error = 8e-30 relative error = 7.7270612544397183501670906166832e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.326 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.651 y[1] (analytic) = 10.353492769693212452886953400826 y[1] (numeric) = 10.353492769693212452886953400834 absolute error = 8e-30 relative error = 7.7268610486865201865601805470566e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.325 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.652 y[1] (analytic) = 10.353761129180554828881107105865 y[1] (numeric) = 10.353761129180554828881107105872 absolute error = 7e-30 relative error = 6.7608281789228537092957707517214e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.324 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.653 y[1] (analytic) = 10.354029592381527230633846115194 y[1] (numeric) = 10.354029592381527230633846115201 absolute error = 7e-30 relative error = 6.7606528816090935148259281740803e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.323 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.654 y[1] (analytic) = 10.354298159299088906994432536251 y[1] (numeric) = 10.354298159299088906994432536258 absolute error = 7e-30 relative error = 6.7604775256673209120486690880066e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.322 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.655 y[1] (analytic) = 10.354566829936200475922748989818 y[1] (numeric) = 10.354566829936200475922748989825 absolute error = 7e-30 relative error = 6.7603021111054342441582331248336e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.321 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.656 y[1] (analytic) = 10.354835604295823924812121679903 y[1] (numeric) = 10.35483560429582392481212167991 absolute error = 7e-30 relative error = 6.7601266379313338643459336732258e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.32 Order of pole = 586.5 TOP MAIN SOLVE Loop memory used=499.7MB, alloc=4.6MB, time=21.41 x[1] = 0.657 y[1] (analytic) = 10.355104482380922610812340590046 y[1] (numeric) = 10.355104482380922610812340590053 absolute error = 7e-30 relative error = 6.7599511061529221348208564768997e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.319 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.658 y[1] (analytic) = 10.355373464194461261152876912335 y[1] (numeric) = 10.355373464194461261152876912342 absolute error = 7e-30 relative error = 6.7597755157781034258303840351667e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.318 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.659 y[1] (analytic) = 10.355642549739405973466297815491 y[1] (numeric) = 10.355642549739405973466297815498 absolute error = 7e-30 relative error = 6.7595998668147841146805459796496e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.317 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.66 y[1] (analytic) = 10.355911739018724216111878658478 y[1] (numeric) = 10.355911739018724216111878658485 absolute error = 7e-30 relative error = 6.7594241592708725847561956004994e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.316 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.661 y[1] (analytic) = 10.356181032035384828499412756178 y[1] (numeric) = 10.356181032035384828499412756185 absolute error = 7e-30 relative error = 6.7592483931542792245410126954276e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.315 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.662 y[1] (analytic) = 10.356450428792358021413218803752 y[1] (numeric) = 10.356450428792358021413218803759 absolute error = 7e-30 relative error = 6.7590725684729164266373329148594e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.314 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.663 y[1] (analytic) = 10.356719929292615377336346066405 y[1] (numeric) = 10.356719929292615377336346066412 absolute error = 7e-30 relative error = 6.7588966852346985867858037764873e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.313 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.664 y[1] (analytic) = 10.356989533539129850774977441348 y[1] (numeric) = 10.356989533539129850774977441355 absolute error = 7e-30 relative error = 6.7587207434475421028848675225035e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.312 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.665 y[1] (analytic) = 10.357259241534875768583030498849 y[1] (numeric) = 10.357259241534875768583030498855 absolute error = 6e-30 relative error = 5.7930383512451703205800608509371e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.311 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.666 y[1] (analytic) = 10.357529053282828830286956609337 y[1] (numeric) = 10.357529053282828830286956609343 absolute error = 6e-30 relative error = 5.7928874436497903995141737318050e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.31 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.667 y[1] (analytic) = 10.357798968785966108410738263635 y[1] (numeric) = 10.357798968785966108410738263641 absolute error = 6e-30 relative error = 5.7927364858899726665496490200983e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.309 Order of pole = 586.5 TOP MAIN SOLVE Loop memory used=503.5MB, alloc=4.6MB, time=21.57 x[1] = 0.668 y[1] (analytic) = 10.358068988047266048801084693449 y[1] (numeric) = 10.358068988047266048801084693455 absolute error = 6e-30 relative error = 5.7925854779725094617330518269379e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.308 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.669 y[1] (analytic) = 10.358339111069708470952825899363 y[1] (numeric) = 10.35833911106970847095282589937 absolute error = 7e-30 relative error = 6.7578401565548939765487228548953e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.307 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.67 y[1] (analytic) = 10.358609337856274568334505193656 y[1] (numeric) = 10.358609337856274568334505193663 absolute error = 7e-30 relative error = 6.7576638636404619814664199697031e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.306 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.671 y[1] (analytic) = 10.358879668409946908714170365345 y[1] (numeric) = 10.358879668409946908714170365352 absolute error = 7e-30 relative error = 6.7574875122325621056423349566463e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.305 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.672 y[1] (analytic) = 10.35915010273370943448536357496 y[1] (numeric) = 10.359150102733709434485363574967 absolute error = 7e-30 relative error = 6.7573111023391267289179290026976e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.304 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.673 y[1] (analytic) = 10.359420640830547462993310086628 y[1] (numeric) = 10.359420640830547462993310086635 absolute error = 7e-30 relative error = 6.7571346339680902244600402370054e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.303 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.674 y[1] (analytic) = 10.35969128270344768686130594514 y[1] (numeric) = 10.359691282703447686861305945147 absolute error = 7e-30 relative error = 6.7569581071273889577786445414366e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.302 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.675 y[1] (analytic) = 10.359962028355398174317304705757 y[1] (numeric) = 10.359962028355398174317304705764 absolute error = 7e-30 relative error = 6.7567815218249612857444451087692e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.301 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.676 y[1] (analytic) = 10.360232877789388369520703324606 y[1] (numeric) = 10.360232877789388369520703324614 absolute error = 8e-30 relative error = 7.7218341463642829206929039104177e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.3 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.677 y[1] (analytic) = 10.360503831008409092889327317601 y[1] (numeric) = 10.360503831008409092889327317608 absolute error = 7e-30 relative error = 6.7564281758666901040084243251483e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.299 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.678 y[1] (analytic) = 10.360774888015452541426615295899 y[1] (numeric) = 10.360774888015452541426615295906 absolute error = 7e-30 relative error = 6.7562514152267332560075578666883e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.298 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.679 y[1] (analytic) = 10.361046048813512289049002986024 y[1] (numeric) = 10.361046048813512289049002986031 absolute error = 7e-30 relative error = 6.7560745961568233240897805751783e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.297 Order of pole = 586.5 memory used=507.3MB, alloc=4.6MB, time=21.74 TOP MAIN SOLVE Loop x[1] = 0.68 y[1] (analytic) = 10.361317313405583286913506842836 y[1] (numeric) = 10.361317313405583286913506842843 absolute error = 7e-30 relative error = 6.7558977186649086071872938535790e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.296 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.681 y[1] (analytic) = 10.36158868179466186374550736364 y[1] (numeric) = 10.361588681794661863745507363647 absolute error = 7e-30 relative error = 6.7557207827589393896949771571847e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.295 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.682 y[1] (analytic) = 10.361860153983745726166732211813 y[1] (numeric) = 10.361860153983745726166732211821 absolute error = 8e-30 relative error = 7.7206214725107062176991812923973e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.294 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.683 y[1] (analytic) = 10.362131729975833959023439258408 y[1] (numeric) = 10.362131729975833959023439258416 absolute error = 8e-30 relative error = 7.7204191265561697279222467178115e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.293 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.684 y[1] (analytic) = 10.362403409773927025714799650278 y[1] (numeric) = 10.362403409773927025714799650286 absolute error = 8e-30 relative error = 7.7202167138699855301841508971779e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.292 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.685 y[1] (analytic) = 10.36267519338102676852148101338 y[1] (numeric) = 10.362675193381026768521481013388 absolute error = 8e-30 relative error = 7.7200142344612487289510083681795e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.291 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.686 y[1] (analytic) = 10.362947080800136408934430899966 y[1] (numeric) = 10.362947080800136408934430899973 absolute error = 7e-30 relative error = 6.7548352272966746056457762467054e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.29 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.687 y[1] (analytic) = 10.363219072034260547983860588486 y[1] (numeric) = 10.363219072034260547983860588493 absolute error = 7e-30 relative error = 6.7546579410734454188613806287245e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.289 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.688 y[1] (analytic) = 10.363491167086405166568429345115 y[1] (numeric) = 10.363491167086405166568429345122 absolute error = 7e-30 relative error = 6.7544805964918692325621486236033e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.288 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.689 y[1] (analytic) = 10.363763365959577625784629255882 y[1] (numeric) = 10.363763365959577625784629255889 absolute error = 7e-30 relative error = 6.7543031935599121794203799139811e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.287 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.69 y[1] (analytic) = 10.364035668656786667256370738499 y[1] (numeric) = 10.364035668656786667256370738506 absolute error = 7e-30 relative error = 6.7541257322855423687125122438806e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.286 Order of pole = 586.5 TOP MAIN SOLVE Loop memory used=511.1MB, alloc=4.6MB, time=21.90 x[1] = 0.691 y[1] (analytic) = 10.364308075181042413464768843052 y[1] (numeric) = 10.364308075181042413464768843059 absolute error = 7e-30 relative error = 6.7539482126767298853339944679106e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.285 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.692 y[1] (analytic) = 10.364580585535356368078130450815 y[1] (numeric) = 10.364580585535356368078130450822 absolute error = 7e-30 relative error = 6.7537706347414467888139912883587e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.284 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.693 y[1] (analytic) = 10.364853199722741416282142480544 y[1] (numeric) = 10.364853199722741416282142480551 absolute error = 7e-30 relative error = 6.7535929984876671123299198529749e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.283 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.694 y[1] (analytic) = 10.365125917746211825110261211676 y[1] (numeric) = 10.365125917746211825110261211684 absolute error = 8e-30 relative error = 7.7181889187695621276820781557056e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.282 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.695 y[1] (analytic) = 10.365398739608783243774302833978 y[1] (numeric) = 10.365398739608783243774302833986 absolute error = 8e-30 relative error = 7.7179857726360274451503394593097e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.281 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.696 y[1] (analytic) = 10.365671665313472703995235333241 y[1] (numeric) = 10.365671665313472703995235333249 absolute error = 8e-30 relative error = 7.7177825598801354501620811936616e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.28 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.697 y[1] (analytic) = 10.365944694863298620334171822746 y[1] (numeric) = 10.365944694863298620334171822754 absolute error = 8e-30 relative error = 7.7175792805110083346172304085574e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.279 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.698 y[1] (analytic) = 10.366217828261280790523565430284 y[1] (numeric) = 10.366217828261280790523565430292 absolute error = 8e-30 relative error = 7.7173759345377705403796220301209e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.278 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.699 y[1] (analytic) = 10.366491065510440395798605850622 y[1] (numeric) = 10.36649106551044039579860585063 absolute error = 8e-30 relative error = 7.7171725219695487581496061635408e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.277 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.7 y[1] (analytic) = 10.36676440661380000122881767338 y[1] (numeric) = 10.366764406613800001228817673389 absolute error = 9e-30 relative error = 8.6815901731674059171285226958052e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.276 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.701 y[1] (analytic) = 10.367037851574383556049860596399 y[1] (numeric) = 10.367037851574383556049860596408 absolute error = 9e-30 relative error = 8.6813611842202551336719664613959e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.275 Order of pole = 586.5 TOP MAIN SOLVE Loop memory used=515.0MB, alloc=4.6MB, time=22.07 x[1] = 0.702 y[1] (analytic) = 10.367311400395216393995531634734 y[1] (numeric) = 10.367311400395216393995531634742 absolute error = 8e-30 relative error = 7.7165618847862800993757555440603e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.274 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.703 y[1] (analytic) = 10.367585053079325233629969435529 y[1] (numeric) = 10.367585053079325233629969435537 absolute error = 8e-30 relative error = 7.7163582059294342094404919492922e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.273 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.704 y[1] (analytic) = 10.36785880962973817868006080911 y[1] (numeric) = 10.367858809629738178680060809118 absolute error = 8e-30 relative error = 7.7161544605232714780902113119379e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.272 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.705 y[1] (analytic) = 10.368132670049484718368049586699 y[1] (numeric) = 10.368132670049484718368049586707 absolute error = 8e-30 relative error = 7.7159506485769320653584384514094e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.271 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.706 y[1] (analytic) = 10.368406634341595727744347915289 y[1] (numeric) = 10.368406634341595727744347915297 absolute error = 8e-30 relative error = 7.7157467700995583722181337696407e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.27 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.707 y[1] (analytic) = 10.36868070250910346802055010026 y[1] (numeric) = 10.368680702509103468020550100268 absolute error = 8e-30 relative error = 7.7155428251002950394527798594540e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.269 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.708 y[1] (analytic) = 10.368954874555041586902649106447 y[1] (numeric) = 10.368954874555041586902649106454 absolute error = 7e-30 relative error = 6.7509214618897528282113690494795e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.268 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.709 y[1] (analytic) = 10.369229150482445118924455828426 y[1] (numeric) = 10.369229150482445118924455828433 absolute error = 7e-30 relative error = 6.7507428936261030591513284907518e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.267 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.71 y[1] (analytic) = 10.369503530294350485781221240913 y[1] (numeric) = 10.36950353029435048578122124092 absolute error = 7e-30 relative error = 6.7505642671798162866007787838767e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.266 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.711 y[1] (analytic) = 10.369778013993795496663461540219 y[1] (numeric) = 10.369778013993795496663461540226 absolute error = 7e-30 relative error = 6.7503855825589019007007942900601e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.265 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.712 y[1] (analytic) = 10.370052601583819348590986387829 y[1] (numeric) = 10.370052601583819348590986387836 absolute error = 7e-30 relative error = 6.7502068397713712464851804094022e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.264 Order of pole = 586.5 TOP MAIN SOLVE Loop memory used=518.8MB, alloc=4.6MB, time=22.23 x[1] = 0.713 y[1] (analytic) = 10.370327293067462626747130367248 y[1] (numeric) = 10.370327293067462626747130367254 absolute error = 6e-30 relative error = 5.7857383189930608196214431326204e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.263 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.714 y[1] (analytic) = 10.370602088447767304813187765342 y[1] (numeric) = 10.370602088447767304813187765349 absolute error = 7e-30 relative error = 6.7498491797285162817730372109261e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.262 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.715 y[1] (analytic) = 10.370876987727776745303050789517 y[1] (numeric) = 10.370876987727776745303050789524 absolute error = 7e-30 relative error = 6.7496702624892244269078421522872e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.261 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.716 y[1] (analytic) = 10.37115199091053569989805133213 y[1] (numeric) = 10.371151990910535699898051332137 absolute error = 7e-30 relative error = 6.7494912871153812130112844901008e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.26 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.717 y[1] (analytic) = 10.371427097999090309782006393662 y[1] (numeric) = 10.371427097999090309782006393669 absolute error = 7e-30 relative error = 6.7493122536150077447456882230174e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.259 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.718 y[1] (analytic) = 10.371702308996488105976467276241 y[1] (numeric) = 10.371702308996488105976467276248 absolute error = 7e-30 relative error = 6.7491331619961270757309045624493e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.258 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.719 y[1] (analytic) = 10.371977623905778009676172659201 y[1] (numeric) = 10.371977623905778009676172659209 absolute error = 8e-30 relative error = 7.7130902997334448086337571490050e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.257 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.72 y[1] (analytic) = 10.372253042730010332584705668474 y[1] (numeric) = 10.372253042730010332584705668482 absolute error = 8e-30 relative error = 7.7128854907827955300365782021459e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.256 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.721 y[1] (analytic) = 10.372528565472236777250355051665 y[1] (numeric) = 10.372528565472236777250355051672 absolute error = 7e-30 relative error = 6.7485955385087016139664423646402e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.255 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.722 y[1] (analytic) = 10.372804192135510437402180570792 y[1] (numeric) = 10.372804192135510437402180570799 absolute error = 7e-30 relative error = 6.7484162144960616226584286678152e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.254 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.723 y[1] (analytic) = 10.373079922722885798286282724741 y[1] (numeric) = 10.373079922722885798286282724748 absolute error = 7e-30 relative error = 6.7482368324050588984155686823796e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.253 Order of pole = 586.5 TOP MAIN SOLVE Loop memory used=522.6MB, alloc=4.6MB, time=22.40 x[1] = 0.724 y[1] (analytic) = 10.373355757237418737002276913572 y[1] (numeric) = 10.373355757237418737002276913579 absolute error = 7e-30 relative error = 6.7480573922437281678118981453116e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.252 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.725 y[1] (analytic) = 10.373631695682166522839972156928 y[1] (numeric) = 10.373631695682166522839972156935 absolute error = 7e-30 relative error = 6.7478778940201060994471319597724e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.251 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.726 y[1] (analytic) = 10.373907738060187817616254478869 y[1] (numeric) = 10.373907738060187817616254478875 absolute error = 6e-30 relative error = 5.7837414323504839739620705915717e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.25 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.727 y[1] (analytic) = 10.374183884374542676012175071544 y[1] (numeric) = 10.374183884374542676012175071551 absolute error = 7e-30 relative error = 6.7475187234181443280159147826060e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.249 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.728 y[1] (analytic) = 10.374460134628292545910243350238 y[1] (numeric) = 10.374460134628292545910243350244 absolute error = 6e-30 relative error = 5.7834334723336179971642071567835e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.248 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.729 y[1] (analytic) = 10.374736488824500268731925012361 y[1] (numeric) = 10.374736488824500268731925012368 absolute error = 7e-30 relative error = 6.7471593206635057357743876910174e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.247 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.73 y[1] (analytic) = 10.375012946966230079775345213116 y[1] (numeric) = 10.375012946966230079775345213123 absolute error = 7e-30 relative error = 6.7469795322490449091254930571400e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.246 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.731 y[1] (analytic) = 10.375289509056547608553196970597 y[1] (numeric) = 10.375289509056547608553196970604 absolute error = 7e-30 relative error = 6.7467996858205534833504554919365e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.245 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.732 y[1] (analytic) = 10.375566175098519879130854913225 y[1] (numeric) = 10.375566175098519879130854913232 absolute error = 7e-30 relative error = 6.7466197813860816934740439292914e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.244 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.733 y[1] (analytic) = 10.375842945095215310464694482477 y[1] (numeric) = 10.375842945095215310464694482484 absolute error = 7e-30 relative error = 6.7464398189536817086148510471929e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.243 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.734 y[1] (analytic) = 10.37611981904970371674061670398 y[1] (numeric) = 10.376119819049703716740616703987 absolute error = 7e-30 relative error = 6.7462597985314076309930847187191e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.242 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.735 y[1] (analytic) = 10.376396796965056307712778640123 y[1] (numeric) = 10.37639679696505630771277864013 memory used=526.4MB, alloc=4.6MB, time=22.56 absolute error = 7e-30 relative error = 6.7460797201273154949381985651619e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.241 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.736 y[1] (analytic) = 10.376673878844345689042529637441 y[1] (numeric) = 10.376673878844345689042529637448 absolute error = 7e-30 relative error = 6.7458995837494632658963617832865e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.24 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.737 y[1] (analytic) = 10.376951064690645862637553482103 y[1] (numeric) = 10.376951064690645862637553482109 absolute error = 6e-30 relative error = 5.7820451909193521480895157874721e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.239 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.738 y[1] (analytic) = 10.377228354507032226991216576946 y[1] (numeric) = 10.377228354507032226991216576952 absolute error = 6e-30 relative error = 5.7818906889469028916546739349188e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.238 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.739 y[1] (analytic) = 10.377505748296581577522122253581 y[1] (numeric) = 10.377505748296581577522122253588 absolute error = 7e-30 relative error = 6.7453588268539546212139455071169e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.237 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.74 y[1] (analytic) = 10.377783246062372106913871333185 y[1] (numeric) = 10.377783246062372106913871333192 absolute error = 7e-30 relative error = 6.7451784586616802622727674408739e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.236 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.741 y[1] (analytic) = 10.37806084780748340545502904969 y[1] (numeric) = 10.378060847807483405455029049697 absolute error = 7e-30 relative error = 6.7449980325359645695764331742401e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.235 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.742 y[1] (analytic) = 10.378338553534996461379298449182 y[1] (numeric) = 10.378338553534996461379298449189 absolute error = 7e-30 relative error = 6.7448175484848770744192927483322e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.234 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.743 y[1] (analytic) = 10.378616363247993661205900379402 y[1] (numeric) = 10.378616363247993661205900379409 absolute error = 7e-30 relative error = 6.7446370065164892322602146904169e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.233 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.744 y[1] (analytic) = 10.378894276949558790080160183332 y[1] (numeric) = 10.37889427694955879008016018334 absolute error = 8e-30 relative error = 7.7079501790158564819757442559286e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.232 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.745 y[1] (analytic) = 10.379172294642777032114301210969 y[1] (numeric) = 10.379172294642777032114301210976 absolute error = 7e-30 relative error = 6.7442757488601079436312942997755e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.231 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.746 y[1] (analytic) = 10.379450416330734970728445263436 y[1] (numeric) = 10.379450416330734970728445263443 absolute error = 7e-30 relative error = 6.7440950331882670199566976205606e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.23 Order of pole = 586.5 memory used=530.2MB, alloc=4.6MB, time=22.73 TOP MAIN SOLVE Loop x[1] = 0.747 y[1] (analytic) = 10.379728642016520588991820083731 y[1] (numeric) = 10.379728642016520588991820083738 absolute error = 7e-30 relative error = 6.7439142596314307928822398297874e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.229 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.748 y[1] (analytic) = 10.380006971703223269964174008448 y[1] (numeric) = 10.380006971703223269964174008455 absolute error = 7e-30 relative error = 6.7437334281976803237790540375086e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.228 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.749 y[1] (analytic) = 10.380285405393933797037397894949 y[1] (numeric) = 10.380285405393933797037397894955 absolute error = 6e-30 relative error = 5.7801878904815130790436133037089e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.227 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.75 y[1] (analytic) = 10.380563943091744354277354438517 y[1] (numeric) = 10.380563943091744354277354438524 absolute error = 7e-30 relative error = 6.7433715917317704949726461054108e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.226 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.751 y[1] (analytic) = 10.380842584799748526765914994158 y[1] (numeric) = 10.380842584799748526765914994164 absolute error = 6e-30 relative error = 5.7798776457563852957390231967476e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.225 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.752 y[1] (analytic) = 10.381121330521041300943204017757 y[1] (numeric) = 10.381121330521041300943204017763 absolute error = 6e-30 relative error = 5.7797224490187637462159034584604e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.224 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.753 y[1] (analytic) = 10.381400180258719064950051241454 y[1] (numeric) = 10.38140018025871906495005124146 absolute error = 6e-30 relative error = 5.7795672027070163263371721283380e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.223 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.754 y[1] (analytic) = 10.381679134015879608970651698135 y[1] (numeric) = 10.38167913401587960897065169814 absolute error = 5e-30 relative error = 4.8161765890233995936396372666946e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.222 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.755 y[1] (analytic) = 10.381958191795622125575433710068 y[1] (numeric) = 10.381958191795622125575433710074 absolute error = 6e-30 relative error = 5.7792565613888914196246735986079e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.221 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.756 y[1] (analytic) = 10.382237353601047210064134956809 y[1] (numeric) = 10.382237353601047210064134956814 absolute error = 5e-30 relative error = 4.8159176386636598346879028877294e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.22 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.757 y[1] (analytic) = 10.382516619435256860809086737553 y[1] (numeric) = 10.382516619435256860809086737558 absolute error = 5e-30 relative error = 4.8157881015479350410273101408970e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.219 Order of pole = 586.5 TOP MAIN SOLVE Loop memory used=534.0MB, alloc=4.6MB, time=22.89 x[1] = 0.758 y[1] (analytic) = 10.382795989301354479598706543267 y[1] (numeric) = 10.382795989301354479598706543272 absolute error = 5e-30 relative error = 4.8156585231493543248344808270800e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.218 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.759 y[1] (analytic) = 10.383075463202444871981199053968 y[1] (numeric) = 10.383075463202444871981199053973 absolute error = 5e-30 relative error = 4.8155289034737049052702721317125e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.217 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.76 y[1] (analytic) = 10.383355041141634247608465676656 y[1] (numeric) = 10.383355041141634247608465676661 absolute error = 5e-30 relative error = 4.8153992425267753638156987523870e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.216 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.761 y[1] (analytic) = 10.383634723122030220580222739477 y[1] (numeric) = 10.383634723122030220580222739482 absolute error = 5e-30 relative error = 4.8152695403143556435601525567702e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.215 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.762 y[1] (analytic) = 10.383914509146741809788328457791 y[1] (numeric) = 10.383914509146741809788328457796 absolute error = 5e-30 relative error = 4.8151397968422370484895106254389e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.214 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.763 y[1] (analytic) = 10.384194399218879439261318787923 y[1] (numeric) = 10.384194399218879439261318787928 absolute error = 5e-30 relative error = 4.8150100121162122427741318020845e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.213 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.764 y[1] (analytic) = 10.384474393341554938509152284459 y[1] (numeric) = 10.384474393341554938509152284464 absolute error = 5e-30 relative error = 4.8148801861420752500567418735225e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.212 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.765 y[1] (analytic) = 10.384754491517881542868164077055 y[1] (numeric) = 10.38475449151788154286816407706 absolute error = 5e-30 relative error = 4.8147503189256214527402075019230e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.211 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.766 y[1] (analytic) = 10.385034693750973893846229082803 y[1] (numeric) = 10.385034693750973893846229082808 absolute error = 5e-30 relative error = 4.8146204104726475912751990316691e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.21 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.767 y[1] (analytic) = 10.38531500004394803946813457032 y[1] (numeric) = 10.385315000043948039468134570326 absolute error = 6e-30 relative error = 5.7773885529467421161372907518695e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.209 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.768 y[1] (analytic) = 10.385595410399921434621162191796 y[1] (numeric) = 10.385595410399921434621162191802 absolute error = 6e-30 relative error = 5.7772325638564001083999914316603e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.208 Order of pole = 586.5 TOP MAIN SOLVE Loop memory used=537.8MB, alloc=4.6MB, time=23.05 x[1] = 0.769 y[1] (analytic) = 10.385875924822012941400879599338 y[1] (numeric) = 10.385875924822012941400879599344 absolute error = 6e-30 relative error = 5.7770765253031120587010794543135e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.207 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.77 y[1] (analytic) = 10.386156543313342829457141762065 y[1] (numeric) = 10.386156543313342829457141762071 absolute error = 6e-30 relative error = 5.7769204372938405656601087208230e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.206 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.771 y[1] (analytic) = 10.38643726587703277634030210046 y[1] (numeric) = 10.386437265877032776340302100465 absolute error = 5e-30 relative error = 4.8139702498629582110649827289933e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.205 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.772 y[1] (analytic) = 10.386718092516205867847633554622 y[1] (numeric) = 10.386718092516205867847633554628 absolute error = 6e-30 relative error = 5.7766081129352057700813356514275e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.204 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.773 y[1] (analytic) = 10.386999023233986598369959703144 y[1] (numeric) = 10.386999023233986598369959703149 absolute error = 5e-30 relative error = 4.8137098971664798235556940864337e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.203 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.774 y[1] (analytic) = 10.387280058033500871238496049407 y[1] (numeric) = 10.387280058033500871238496049412 absolute error = 5e-30 relative error = 4.8135796590301908357043920437948e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.202 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.775 y[1] (analytic) = 10.387561196917875999071901592241 y[1] (numeric) = 10.387561196917875999071901592246 absolute error = 5e-30 relative error = 4.8134493797096134423213282561876e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.201 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.776 y[1] (analytic) = 10.387842439890240704123540797927 y[1] (numeric) = 10.387842439890240704123540797932 absolute error = 5e-30 relative error = 4.8133190592105579251323041704104e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.2 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.777 y[1] (analytic) = 10.388123786953725118628956090666 y[1] (numeric) = 10.388123786953725118628956090672 absolute error = 6e-30 relative error = 5.7758264370466030992814998085958e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.199 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.778 y[1] (analytic) = 10.388405238111460785153550978706 y[1] (numeric) = 10.388405238111460785153550978711 absolute error = 5e-30 relative error = 4.8130582947002603965498961049267e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.198 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.779 y[1] (analytic) = 10.388686793366580656940483933415 y[1] (numeric) = 10.388686793366580656940483933421 absolute error = 6e-30 relative error = 5.7755134208407748361328046738716e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.197 Order of pole = 586.5 TOP MAIN SOLVE Loop memory used=541.7MB, alloc=4.6MB, time=23.22 x[1] = 0.78 y[1] (analytic) = 10.388968452722219098258773138717 y[1] (numeric) = 10.388968452722219098258773138723 absolute error = 6e-30 relative error = 5.7753568386549689940153809549344e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.196 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.781 y[1] (analytic) = 10.38925021618151188475161222834 y[1] (numeric) = 10.389250216181511884751612228346 absolute error = 6e-30 relative error = 5.7752002070898753802420899808316e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.195 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.782 y[1] (analytic) = 10.389532083747596203784897128498 y[1] (numeric) = 10.389532083747596203784897128504 absolute error = 6e-30 relative error = 5.7750435261524760415098919938232e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.194 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.783 y[1] (analytic) = 10.389814055423610654795964123656 y[1] (numeric) = 10.389814055423610654795964123663 absolute error = 7e-30 relative error = 6.7373679284913804128913679534549e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.193 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.784 y[1] (analytic) = 10.390096131212695249642539263179 y[1] (numeric) = 10.390096131212695249642539263186 absolute error = 7e-30 relative error = 6.7371850188868125257309896788564e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.192 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.785 y[1] (analytic) = 10.390378311117991412951899226711 y[1] (numeric) = 10.390378311117991412951899226718 absolute error = 7e-30 relative error = 6.7370020517056697579622328703757e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.191 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.786 y[1] (analytic) = 10.39066059514264198247024376628 y[1] (numeric) = 10.390660595142641982470243766287 absolute error = 7e-30 relative error = 6.7368190269561053618893344819331e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.19 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.787 y[1] (analytic) = 10.39094298328979120941227984317 y[1] (numeric) = 10.390942983289791209412279843177 absolute error = 7e-30 relative error = 6.7366359446462744701051084415531e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.189 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.788 y[1] (analytic) = 10.391225475562584758811017577738 y[1] (numeric) = 10.391225475562584758811017577746 absolute error = 8e-30 relative error = 7.6988032054678103937031934037298e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.188 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.789 y[1] (analytic) = 10.391508071964169709867778130429 y[1] (numeric) = 10.391508071964169709867778130437 absolute error = 8e-30 relative error = 7.6985938370039350002431472097110e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.187 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.79 y[1] (analytic) = 10.391790772497694556302413632339 y[1] (numeric) = 10.391790772497694556302413632346 absolute error = 7e-30 relative error = 6.7360863524367623297265171028060e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.186 Order of pole = 586.5 TOP MAIN SOLVE Loop memory used=545.5MB, alloc=4.6MB, time=23.39 x[1] = 0.791 y[1] (analytic) = 10.392073577166309206703739283783 y[1] (numeric) = 10.392073577166309206703739283791 absolute error = 8e-30 relative error = 7.6981749028199478305950584613327e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.185 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.792 y[1] (analytic) = 10.392356485973164984880177739425 y[1] (numeric) = 10.392356485973164984880177739433 absolute error = 8e-30 relative error = 7.6979653371184956689921464744273e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.184 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.793 y[1] (analytic) = 10.392639498921414630210615898592 y[1] (numeric) = 10.3926394989214146302106158986 absolute error = 8e-30 relative error = 7.6977557056898477700847629543241e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.183 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.794 y[1] (analytic) = 10.392922616014212297995474219545 y[1] (numeric) = 10.392922616014212297995474219553 absolute error = 8e-30 relative error = 7.6975460085433392956856313149413e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.182 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.795 y[1] (analytic) = 10.393205837254713559807988676519 y[1] (numeric) = 10.393205837254713559807988676527 absolute error = 8e-30 relative error = 7.6973362456883075473550512202803e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.181 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.796 y[1] (analytic) = 10.393489162646075403845705478494 y[1] (numeric) = 10.393489162646075403845705478502 absolute error = 8e-30 relative error = 7.6971264171340919652559159948520e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.18 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.797 y[1] (analytic) = 10.39377259219145623528218866871 y[1] (numeric) = 10.393772592191456235282188668718 absolute error = 8e-30 relative error = 7.6969165228900341270085582915604e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.179 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.798 y[1] (analytic) = 10.394056125894015876618940724073 y[1] (numeric) = 10.394056125894015876618940724082 absolute error = 9e-30 relative error = 8.6587948833361624648636022385154e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.178 Order of pole = 586.5 TOP MAIN SOLVE Loop x[1] = 0.799 y[1] (analytic) = 10.39433976375691556803753627368 y[1] (numeric) = 10.394339763756915568037536273688 absolute error = 8e-30 relative error = 7.6964965373697686729655760742203e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 7.177 Order of pole = 586.5 Finished! diff ( y , x , 1 ) = arcsin (0.1 * x + 0.2) ; Iterations = 1600 Total Elapsed Time = 23 Seconds Elapsed Time(since restart) = 23 Seconds Time to Timeout = 2 Minutes 36 Seconds Percent Done = 100.1 % > quit memory used=548.3MB, alloc=4.6MB, time=23.50