|\^/| 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_2D0, > array_const_6D0, > #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, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8, > 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_2D0, array_const_6D0, 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, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, 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_2D0, > array_const_6D0, > #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, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8, > 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_2D0, array_const_6D0, 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, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, 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_2D0, > array_const_6D0, > #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, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8, > 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_2D0, array_const_6D0, 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, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, 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_2D0, > array_const_6D0, > #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, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8, > 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_2D0, array_const_6D0, 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, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, 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_2D0, > array_const_6D0, > #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, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8, > 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_2D0, array_const_6D0, 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, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, 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_2D0, > array_const_6D0, > #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, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8, > 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_2D0, array_const_6D0, 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, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, 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_2D0, > array_const_6D0, > #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, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8, > 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_2D0, array_const_6D0, 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, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, 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_2D0, > array_const_6D0, > #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, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8, > 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_2D0, array_const_6D0, 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, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, 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_2D0, > array_const_6D0, > #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, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8, > 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 FULL CONST $eq_no = 1 i = 1 > array_tmp1[1] := array_m1[1] * array_const_2D0[1]; > #emit pre sub LINEAR - CONST $eq_no = 1 i = 1 > array_tmp2[1] := array_x[1] - array_const_6D0[1]; > #emit pre div FULL - LINEAR $eq_no = 1 i = 1 > array_tmp3[1] := array_tmp1[1] / array_tmp2[1]; > #emit pre sub LINEAR - CONST $eq_no = 1 i = 1 > array_tmp4[1] := array_x[1] - array_const_6D0[1]; > #emit pre div FULL - LINEAR $eq_no = 1 i = 1 > array_tmp5[1] := array_tmp3[1] / array_tmp4[1]; > #emit pre sub LINEAR - CONST $eq_no = 1 i = 1 > array_tmp6[1] := array_x[1] - array_const_6D0[1]; > #emit pre div FULL - LINEAR $eq_no = 1 i = 1 > array_tmp7[1] := array_tmp5[1] / array_tmp6[1]; > #emit pre add CONST FULL $eq_no = 1 i = 1 > array_tmp8[1] := array_const_0D0[1] + array_tmp7[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_tmp8[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 FULL CONST $eq_no = 1 i = 2 > array_tmp1[2] := array_m1[2] * array_const_2D0[1]; > #emit pre sub LINEAR - CONST $eq_no = 1 i = 2 > array_tmp2[2] := array_x[2]; > #emit pre div FULL - LINEAR $eq_no = 1 i = 2 > array_tmp3[2] := (array_tmp1[2] - array_tmp3[1] * array_tmp2[2]) / array_tmp2[1]; > #emit pre sub LINEAR - CONST $eq_no = 1 i = 2 > array_tmp4[2] := array_x[2]; > #emit pre div FULL - LINEAR $eq_no = 1 i = 2 > array_tmp5[2] := (array_tmp3[2] - array_tmp5[1] * array_tmp4[2]) / array_tmp4[1]; > #emit pre sub LINEAR - CONST $eq_no = 1 i = 2 > array_tmp6[2] := array_x[2]; > #emit pre div FULL - LINEAR $eq_no = 1 i = 2 > array_tmp7[2] := (array_tmp5[2] - array_tmp7[1] * array_tmp6[2]) / array_tmp6[1]; > #emit pre add CONST FULL $eq_no = 1 i = 2 > array_tmp8[2] := array_tmp7[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_tmp8[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 mult FULL CONST $eq_no = 1 i = 3 > array_tmp1[3] := array_m1[3] * array_const_2D0[1]; > #emit pre div FULL - LINEAR $eq_no = 1 i = 3 > array_tmp3[3] := (array_tmp1[3] - array_tmp3[2] * array_tmp2[2]) / array_tmp2[1]; > #emit pre div FULL - LINEAR $eq_no = 1 i = 3 > array_tmp5[3] := (array_tmp3[3] - array_tmp5[2] * array_tmp4[2]) / array_tmp4[1]; > #emit pre div FULL - LINEAR $eq_no = 1 i = 3 > array_tmp7[3] := (array_tmp5[3] - array_tmp7[2] * array_tmp6[2]) / array_tmp6[1]; > #emit pre add CONST FULL $eq_no = 1 i = 3 > array_tmp8[3] := array_tmp7[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_tmp8[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 mult FULL CONST $eq_no = 1 i = 4 > array_tmp1[4] := array_m1[4] * array_const_2D0[1]; > #emit pre div FULL - LINEAR $eq_no = 1 i = 4 > array_tmp3[4] := (array_tmp1[4] - array_tmp3[3] * array_tmp2[2]) / array_tmp2[1]; > #emit pre div FULL - LINEAR $eq_no = 1 i = 4 > array_tmp5[4] := (array_tmp3[4] - array_tmp5[3] * array_tmp4[2]) / array_tmp4[1]; > #emit pre div FULL - LINEAR $eq_no = 1 i = 4 > array_tmp7[4] := (array_tmp5[4] - array_tmp7[3] * array_tmp6[2]) / array_tmp6[1]; > #emit pre add CONST FULL $eq_no = 1 i = 4 > array_tmp8[4] := array_tmp7[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_tmp8[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 mult FULL CONST $eq_no = 1 i = 5 > array_tmp1[5] := array_m1[5] * array_const_2D0[1]; > #emit pre div FULL - LINEAR $eq_no = 1 i = 5 > array_tmp3[5] := (array_tmp1[5] - array_tmp3[4] * array_tmp2[2]) / array_tmp2[1]; > #emit pre div FULL - LINEAR $eq_no = 1 i = 5 > array_tmp5[5] := (array_tmp3[5] - array_tmp5[4] * array_tmp4[2]) / array_tmp4[1]; > #emit pre div FULL - LINEAR $eq_no = 1 i = 5 > array_tmp7[5] := (array_tmp5[5] - array_tmp7[4] * array_tmp6[2]) / array_tmp6[1]; > #emit pre add CONST FULL $eq_no = 1 i = 5 > array_tmp8[5] := array_tmp7[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_tmp8[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 mult FULL CONST $eq_no = 1 i = 1 > array_tmp1[kkk] := array_m1[kkk] * array_const_2D0[1]; > #emit div FULL LINEAR $eq_no = 1 i = 1 > array_tmp3[kkk] := -ats(kkk,array_tmp2,array_tmp3,2) / array_tmp2[1]; > #emit div FULL LINEAR $eq_no = 1 i = 1 > array_tmp5[kkk] := -ats(kkk,array_tmp4,array_tmp5,2) / array_tmp4[1]; > #emit div FULL LINEAR $eq_no = 1 i = 1 > array_tmp7[kkk] := -ats(kkk,array_tmp6,array_tmp7,2) / array_tmp6[1]; > #emit NOT FULL - FULL add $eq_no = 1 > array_tmp8[kkk] := array_tmp7[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_tmp8[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_2D0, array_const_6D0, 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, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, 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_m1[1]*array_const_2D0[1]; array_tmp2[1] := array_x[1] - array_const_6D0[1]; array_tmp3[1] := array_tmp1[1]/array_tmp2[1]; array_tmp4[1] := array_x[1] - array_const_6D0[1]; array_tmp5[1] := array_tmp3[1]/array_tmp4[1]; array_tmp6[1] := array_x[1] - array_const_6D0[1]; array_tmp7[1] := array_tmp5[1]/array_tmp6[1]; array_tmp8[1] := array_const_0D0[1] + array_tmp7[1]; if not array_y_set_initial[1, 2] then if 1 <= glob_max_terms then temporary := array_tmp8[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_m1[2]*array_const_2D0[1]; array_tmp2[2] := array_x[2]; array_tmp3[2] := (array_tmp1[2] - array_tmp3[1]*array_tmp2[2])/array_tmp2[1]; array_tmp4[2] := array_x[2]; array_tmp5[2] := (array_tmp3[2] - array_tmp5[1]*array_tmp4[2])/array_tmp4[1]; array_tmp6[2] := array_x[2]; array_tmp7[2] := (array_tmp5[2] - array_tmp7[1]*array_tmp6[2])/array_tmp6[1]; array_tmp8[2] := array_tmp7[2]; if not array_y_set_initial[1, 3] then if 2 <= glob_max_terms then temporary := array_tmp8[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_tmp1[3] := array_m1[3]*array_const_2D0[1]; array_tmp3[3] := (array_tmp1[3] - array_tmp3[2]*array_tmp2[2])/array_tmp2[1]; array_tmp5[3] := (array_tmp3[3] - array_tmp5[2]*array_tmp4[2])/array_tmp4[1]; array_tmp7[3] := (array_tmp5[3] - array_tmp7[2]*array_tmp6[2])/array_tmp6[1]; array_tmp8[3] := array_tmp7[3]; if not array_y_set_initial[1, 4] then if 3 <= glob_max_terms then temporary := array_tmp8[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_tmp1[4] := array_m1[4]*array_const_2D0[1]; array_tmp3[4] := (array_tmp1[4] - array_tmp3[3]*array_tmp2[2])/array_tmp2[1]; array_tmp5[4] := (array_tmp3[4] - array_tmp5[3]*array_tmp4[2])/array_tmp4[1]; array_tmp7[4] := (array_tmp5[4] - array_tmp7[3]*array_tmp6[2])/array_tmp6[1]; array_tmp8[4] := array_tmp7[4]; if not array_y_set_initial[1, 5] then if 4 <= glob_max_terms then temporary := array_tmp8[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_tmp1[5] := array_m1[5]*array_const_2D0[1]; array_tmp3[5] := (array_tmp1[5] - array_tmp3[4]*array_tmp2[2])/array_tmp2[1]; array_tmp5[5] := (array_tmp3[5] - array_tmp5[4]*array_tmp4[2])/array_tmp4[1]; array_tmp7[5] := (array_tmp5[5] - array_tmp7[4]*array_tmp6[2])/array_tmp6[1]; array_tmp8[5] := array_tmp7[5]; if not array_y_set_initial[1, 6] then if 5 <= glob_max_terms then temporary := array_tmp8[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_tmp1[kkk] := array_m1[kkk]*array_const_2D0[1]; array_tmp3[kkk] := -ats(kkk, array_tmp2, array_tmp3, 2)/array_tmp2[1]; array_tmp5[kkk] := -ats(kkk, array_tmp4, array_tmp5, 2)/array_tmp4[1]; array_tmp7[kkk] := -ats(kkk, array_tmp6, array_tmp7, 2)/array_tmp6[1]; array_tmp8[kkk] := array_tmp7[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_tmp8[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(1.0/ ( x - 6.0 ) / ( x - 6.0 )); > end; exact_soln_y := proc(x) return 1.0/((x - 6.0)*(x - 6.0)) 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_2D0, > array_const_6D0, > #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, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8, > 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/sing6postode.ode#################"); > omniout_str(ALWAYS,"diff ( y , x , 1 ) = m1 * 2.0 / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0) ;"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK"); > omniout_str(ALWAYS,"Digits:=64;"); > omniout_str(ALWAYS,"max_terms:=40;"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#END FIRST INPUT BLOCK"); > omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK"); > omniout_str(ALWAYS,"x_start := 2.0;"); > omniout_str(ALWAYS,"x_end := 3.0;"); > 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(1.0/ ( x - 6.0 ) / ( x - 6.0 ));"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,""); > omniout_str(ALWAYS,""); > omniout_str(ALWAYS,"#END USER DEF BLOCK"); > omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################"); > glob_unchanged_h_cnt := 0; > glob_warned := false; > glob_warned2 := false; > glob_small_float := 1.0e-200; > glob_smallish_float := 1.0e-64; > glob_large_float := 1.0e100; > glob_almost_1 := 0.99; > #BEGIN FIRST INPUT BLOCK > #BEGIN FIRST INPUT BLOCK > Digits:=64; > max_terms:=40; > #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:= Array(0..(max_terms + 1),[]); > array_tmp4:= Array(0..(max_terms + 1),[]); > array_tmp5:= Array(0..(max_terms + 1),[]); > array_tmp6:= Array(0..(max_terms + 1),[]); > array_tmp7:= Array(0..(max_terms + 1),[]); > array_tmp8:= Array(0..(max_terms + 1),[]); > array_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[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp4[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp5[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp6[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp7[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp8[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_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_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_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 := 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_tmp5 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp5[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp6 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp6[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp7 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp7[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp8 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp8[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_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_2D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_2D0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_2D0[1] := 2.0; > array_const_6D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_6D0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_6D0[1] := 6.0; > array_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms) do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_m1[1] := -1.0; > #END ARRAYS DEFINED AND INITIALIZATED > #Initing Factorial Tables > iiif := 0; > while (iiif <= glob_max_terms) do # do number 2 > jjjf := 0; > while (jjjf <= glob_max_terms) do # do number 3 > array_fact_1[iiif] := 0; > array_fact_2[iiif,jjjf] := 0; > jjjf := jjjf + 1; > od;# end do number 3; > iiif := iiif + 1; > od;# end do number 2; > #Done Initing Factorial Tables > #TOP SECOND INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > #END FIRST INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > x_start := 2.0; > x_end := 3.0; > 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; > array_y_set_initial[1,31] := false; > array_y_set_initial[1,32] := false; > array_y_set_initial[1,33] := false; > array_y_set_initial[1,34] := false; > array_y_set_initial[1,35] := false; > array_y_set_initial[1,36] := false; > array_y_set_initial[1,37] := false; > array_y_set_initial[1,38] := false; > array_y_set_initial[1,39] := false; > array_y_set_initial[1,40] := 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 ) = m1 * 2.0 / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0) ;"); > 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,"2013-01-28T19:17:47-06:00") > ; > logitem_str(html_log_file,"Maple") > ; > logitem_str(html_log_file,"sing6") > ; > logitem_str(html_log_file,"diff ( y , x , 1 ) = m1 * 2.0 / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0) ;") > ; > logitem_float(html_log_file,x_start) > ; > logitem_float(html_log_file,x_end) > ; > logitem_float(html_log_file,array_x[1]) > ; > logitem_float(html_log_file,glob_h) > ; > logitem_integer(html_log_file,Digits) > ; > ; > logitem_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,"sing6 diffeq.mxt") > ; > logitem_str(html_log_file,"sing6 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_2D0, array_const_6D0, 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, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, 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/sing6postode.ode#################"); omniout_str(ALWAYS, "diff ( y , x , 1 ) = m1 * 2.0 / ( x - 6.0 ) / ( \ x - 6.0 ) / ( x - 6.0) ;"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK"); omniout_str(ALWAYS, "Digits:=64;"); omniout_str(ALWAYS, "max_terms:=40;"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#END FIRST INPUT BLOCK"); omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK"); omniout_str(ALWAYS, "x_start := 2.0;"); omniout_str(ALWAYS, "x_end := 3.0;"); 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(1.0/ ( x - 6.0 ) / ( x - 6.0 ));"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, ""); omniout_str(ALWAYS, ""); omniout_str(ALWAYS, "#END USER DEF BLOCK"); omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"); glob_unchanged_h_cnt := 0; glob_warned := false; glob_warned2 := false; glob_small_float := 0.10*10^(-199); glob_smallish_float := 0.10*10^(-63); glob_large_float := 0.10*10^101; glob_almost_1 := 0.99; Digits := 64; max_terms := 40; 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 := Array(0 .. max_terms + 1, []); array_tmp4 := Array(0 .. max_terms + 1, []); array_tmp5 := Array(0 .. max_terms + 1, []); array_tmp6 := Array(0 .. max_terms + 1, []); array_tmp7 := Array(0 .. max_terms + 1, []); array_tmp8 := Array(0 .. max_terms + 1, []); array_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[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp4[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp5[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp6[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp7[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp8[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_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_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_m1[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 := 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_tmp5 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp5[term] := 0.; term := term + 1 end do; array_tmp6 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp6[term] := 0.; term := term + 1 end do; array_tmp7 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp7[term] := 0.; term := term + 1 end do; array_tmp8 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp8[term] := 0.; term := term + 1 end do; array_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_2D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_2D0[term] := 0.; term := term + 1 end do; array_const_2D0[1] := 2.0; array_const_6D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_6D0[term] := 0.; term := term + 1 end do; array_const_6D0[1] := 6.0; array_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms do array_m1[term] := 0.; term := term + 1 end do; array_m1[1] := -1.0; iiif := 0; while iiif <= glob_max_terms do jjjf := 0; while jjjf <= glob_max_terms do array_fact_1[iiif] := 0; array_fact_2[iiif, jjjf] := 0; jjjf := jjjf + 1 end do; iiif := iiif + 1 end do; x_start := 2.0; x_end := 3.0; 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; array_y_set_initial[1, 31] := false; array_y_set_initial[1, 32] := false; array_y_set_initial[1, 33] := false; array_y_set_initial[1, 34] := false; array_y_set_initial[1, 35] := false; array_y_set_initial[1, 36] := false; array_y_set_initial[1, 37] := false; array_y_set_initial[1, 38] := false; array_y_set_initial[1, 39] := false; array_y_set_initial[1, 40] := 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 ) = m1 * 2.0 / ( x - 6.0 ) / \ ( x - 6.0 ) / ( x - 6.0) ;"); omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "); prog_report(x_start, x_end); if glob_html_log then logstart(html_log_file); logitem_str(html_log_file, "2013-01-28T19:17:47-06:00"); logitem_str(html_log_file, "Maple"); logitem_str(html_log_file, "sing6"); logitem_str(html_log_file, "diff ( y , x , 1 ) = m1 * 2.0 / (\ x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0) ;"); logitem_float(html_log_file, x_start); logitem_float(html_log_file, x_end); logitem_float(html_log_file, array_x[1]); logitem_float(html_log_file, glob_h); logitem_integer(html_log_file, Digits); logitem_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, "sing6 diffeq.mxt"); logitem_str(html_log_file, "sing6 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/sing6postode.ode################# diff ( y , x , 1 ) = m1 * 2.0 / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0) ; ! #BEGIN FIRST INPUT BLOCK Digits:=64; max_terms:=40; ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start := 2.0; x_end := 3.0; 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(1.0/ ( x - 6.0 ) / ( x - 6.0 )); 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 estimated_steps = 1000 step_error = 1.0000000000000000000000000000000e-13 est_needed_step_err = 1.0000000000000000000000000000000e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 value3 = 1.1030416371266002630265453913683e-131 max_value3 = 1.1030416371266002630265453913683e-131 value3 = 1.1030416371266002630265453913683e-131 best_h = 0.001 START of Soultion TOP MAIN SOLVE Loop x[1] = 2 y[1] (analytic) = 0.0625 y[1] (numeric) = 0.0625 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.997 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.001 y[1] (analytic) = 0.062531261722657471069442779549601 y[1] (numeric) = 0.062531261722657471069412247797592 absolute error = 3.0531752008938131016480364315316e-23 relative error = 4.8826380865869060015368500261089e-20 % Correct digits = 21 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.996 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.002 y[1] (analytic) = 0.062562546906269542975589845948487 y[1] (numeric) = 0.062562546906269542975528721308659 absolute error = 6.1124639828331972056454657664011e-23 relative error = 9.7701648751461755467825947392018e-20 % Correct digits = 21 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.995 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.003 y[1] (analytic) = 0.062593855574317716020315211389778 y[1] (numeric) = 0.062593855574317716020223432588567 absolute error = 9.1778801211111317542943114323552e-23 relative error = 1.4662589541579253090679170809211e-19 % Correct digits = 20 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.994 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.004 y[1] (analytic) = 0.062625187750312875438000563125688 y[1] (numeric) = 0.062625187750312875437878068751433 absolute error = 1.2249437425516873716651404039233e-22 relative error = 1.9559921280165224777746908612094e-19 % Correct digits = 20 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.993 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.005 y[1] (analytic) = 0.062656543457795335533622284426246 y[1] (numeric) = 0.062656543457795335533469012928842 absolute error = 1.5327149740431006043535463472956e-22 relative error = 2.4462169303602236722997708541496e-19 % Correct digits = 20 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.09 Order of pole = 1.037e-58 TOP MAIN SOLVE Loop x[1] = 2.006 y[1] (analytic) = 0.062687922720334883898205846576575 y[1] (numeric) = 0.062687922720334883898021736267126 absolute error = 1.8411030944920771891612191861316e-22 relative error = 2.9369342843049017036278578261061e-19 % Correct digits = 20 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.991 Order of pole = 1225 TOP MAIN SOLVE Loop memory used=3.8MB, alloc=3.1MB, time=0.45 x[1] = 2.007 y[1] (analytic) = 0.062719325561530825701802597320166 y[1] (numeric) = 0.062719325561530825701587586370638 absolute error = 2.1501094952835695547571611755195e-22 relative error = 3.4281451148166501875956360883380e-19 % Correct digits = 20 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.99 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.008 y[1] (analytic) = 0.062750752005012028064144320705539 y[1] (numeric) = 0.06275075200501202806389834714841 absolute error = 2.4597355712903490986679198280158e-22 relative error = 3.9198503487159565818714285126129e-19 % Correct digits = 20 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.989 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.009 y[1] (analytic) = 0.062782202074436964503131293719564 y[1] (numeric) = 0.062782202074436964502854295447475 absolute error = 2.7699827208826259003261956889302e-22 relative error = 4.4120509146818856833093571355131e-19 % Correct digits = 20 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.876 Order of pole = 7.771e-59 TOP MAIN SOLVE Loop x[1] = 2.01 y[1] (analytic) = 0.062813675793493759461309916394998 y[1] (numeric) = 0.062813675793493759461001831160404 absolute error = 3.0808523459376973853982538999551e-22 relative error = 4.9047477432562736145278741912675e-19 % Correct digits = 20 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.987 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.011 y[1] (analytic) = 0.062845173185900232910496344264853 y[1] (numeric) = 0.062845173185900232910157109679668 absolute error = 3.3923458518496260358058815741410e-22 relative error = 5.3979417668479323286493520119402e-19 % Correct digits = 20 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.986 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.012 y[1] (analytic) = 0.062876694275403945034702905104481 y[1] (numeric) = 0.062876694275403945034332458639727 absolute error = 3.7044646475389462401903095028739e-22 relative error = 5.8916339197368646612245269738274e-19 % Correct digits = 20 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.985 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.013 y[1] (analytic) = 0.062908239085782240991524435856212 y[1] (numeric) = 0.062908239085782240991122714841665 absolute error = 4.0172101454624003798984419105051e-22 relative error = 6.3858251380784899584529835446073e-19 % Correct digits = 20 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.984 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.014 y[1] (analytic) = 0.062939807640842295752142030473441 y[1] (numeric) = 0.062939807640842295751708972097279 absolute error = 4.3305837616227042459059168803706e-22 relative error = 6.8805163599078803108985404955036e-19 % Correct digits = 20 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.983 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.015 y[1] (analytic) = 0.062971399964421159020102045153642 y[1] (numeric) = 0.062971399964421159019637586462085 absolute error = 4.6445869155783418824269577343036e-22 relative error = 7.3757085251440074219863634886231e-19 % Correct digits = 20 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.982 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.016 y[1] (analytic) = 0.063003016080385800229028564055418 y[1] (numeric) = 0.063003016080385800228532641952373 absolute error = 4.9592210304533899532976771150806e-22 relative error = 7.8714025755940001406568775375901e-19 % Correct digits = 20 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.416 Order of pole = 2.538e-58 TOP MAIN SOLVE Loop x[1] = 2.017 y[1] (analytic) = 0.063034656012633153619427886115791 y[1] (numeric) = 0.063034656012633153618900437362497 absolute error = 5.2744875329473717275574658778313e-22 relative error = 8.3675994549574126876400902793555e-19 % Correct digits = 20 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.98 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.018 y[1] (analytic) = 0.063066319785090163394743952002999 y[1] (numeric) = 0.063066319785090163394184913217664 absolute error = 5.5903878533451407809923432442957e-22 relative error = 8.8643001088305036049027636000764e-19 % Correct digits = 20 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.979 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.019 y[1] (analytic) = 0.063098007421713828956823989559551 y[1] (numeric) = 0.063098007421713828956233297216999 absolute error = 5.9069234255267945107446681367233e-22 relative error = 9.3615054847105254579099879455987e-19 % Correct digits = 20 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.978 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.02 y[1] (analytic) = 0.063129718946491250220954016312719 y[1] (numeric) = 0.063129718946491250220331606744022 absolute error = 6.2240956869776175604354193318737e-22 relative error = 9.8592165320000253204321216384613e-19 % Correct digits = 20 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.977 Order of pole = 1225 TOP MAIN SOLVE Loop memory used=7.6MB, alloc=4.3MB, time=1.01 x[1] = 2.021 y[1] (analytic) = 0.063161454383439673010624198757475 y[1] (numeric) = 0.063161454383439673009970008149595 absolute error = 6.5419060787980552535883492277078e-22 relative error = 1.0357434202011156071717757743508e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.976 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.022 y[1] (analytic) = 0.063193213756606534532184430152667 y[1] (numeric) = 0.063193213756606534531498394548096 absolute error = 6.8603560457137171334897077857375e-22 relative error = 1.0856159447969998535943374502008e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.975 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.023 y[1] (analytic) = 0.063224997090069508929550851517422 y[1] (numeric) = 0.063224997090069508928832906813814 absolute error = 7.1794470360854107079629248126494e-22 relative error = 1.1355393225020894493940613122409e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.974 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.024 y[1] (analytic) = 0.06325680440793655291912440437393 y[1] (numeric) = 0.063256804407936552918374486323738 absolute error = 7.4991805019192054978846354100052e-22 relative error = 1.1855136490230790597292709811136e-18 % Correct digits = 19 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.363 Order of pole = 1.864e-58 TOP MAIN SOLVE Loop x[1] = 2.025 y[1] (analytic) = 0.063288635734345951505082868557415 y[1] (numeric) = 0.063288635734345951504300912767527 absolute error = 7.8195578988765274886167404072799e-22 relative error = 1.2355390202593593214982488389778e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.972 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.026 y[1] (analytic) = 0.063320491093466363775208204106764 y[1] (numeric) = 0.063320491093466363774394146038136 absolute error = 8.1405806862842840838788161804037e-22 relative error = 1.2856155323034534242865496720067e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.971 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.027 y[1] (analytic) = 0.063352370509496868777411382862512 y[1] (numeric) = 0.063352370509496868776565157829798 absolute error = 8.4622503271450196619361317471490e-22 relative error = 1.3357432814414547906333345493704e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.97 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.028 y[1] (analytic) = 0.063384274006667011477117262935209 y[1] (numeric) = 0.063384274006667011476238806106394 absolute error = 8.7845682881471018343308007466565e-22 relative error = 1.3859223641534658586624082792704e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.969 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.029 y[1] (analytic) = 0.063416201609236848795672427669224 y[1] (numeric) = 0.063416201609236848794761674065257 absolute error = 9.1075360396749385077371972004538e-22 relative error = 1.4361528771140379701328513243960e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.968 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.03 y[1] (analytic) = 0.063448153341496995729939280117252 y[1] (numeric) = 0.06344815334149699572899616461167 absolute error = 9.4311550558192258498777021867152e-22 relative error = 1.4864349171926123669733747639460e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.967 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.031 y[1] (analytic) = 0.063480129227768671553240054361843 y[1] (numeric) = 0.063480129227768671552264511680405 absolute error = 9.7554268143872272607911291315111e-22 relative error = 1.5367685814539622993737948635466e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.966 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.032 y[1] (analytic) = 0.063512129292403746097814776274714 y[1] (numeric) = 0.063512129292403746096806740995023 absolute error = 1.0080352796913083451103803746766e-21 relative error = 1.5871539671586362485163221648411e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.965 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.033 y[1] (analytic) = 0.063544153559784786118957578494981 y[1] (numeric) = 0.063544153559784786117916985046114 absolute error = 1.0405934488668153729312256164191e-21 relative error = 1.6375911717634022670386888404668e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.964 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.034 y[1] (analytic) = 0.06357620205432510174099614753646 y[1] (numeric) = 0.063576202054325101739922930198593 absolute error = 1.0732173378671388600446822990542e-21 relative error = 1.6880802929216934403304974852262e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.963 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.035 y[1] (analytic) = 0.063608274800468792985279455004302 y[1] (numeric) = 0.063608274800468792984173547908332 absolute error = 1.1059070959699733778847161328480e-21 relative error = 1.7386214284840544717735646385633e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.962 Order of pole = 1225 TOP MAIN SOLVE Loop memory used=11.4MB, alloc=4.3MB, time=1.57 x[1] = 2.036 y[1] (analytic) = 0.06364037182269079638033929991518 y[1] (numeric) = 0.06364037182269079637920063704235 absolute error = 1.1386628728298565718143750779143e-21 relative error = 1.7892146764985893950464532654290e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.961 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.037 y[1] (analytic) = 0.063672493145496931654391565075612 y[1] (numeric) = 0.063672493145496931653220080257133 absolute error = 1.1714848184792158761903908600638e-21 relative error = 1.8398601352114104166228402711530e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.96 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.038 y[1] (analytic) = 0.063704638793423948510343467382333 y[1] (numeric) = 0.063704638793423948509139094299004 absolute error = 1.2043730833294184018766673098605e-21 relative error = 1.8905579030670878916028480003165e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.959 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.039 y[1] (analytic) = 0.063736808791039573483473459769741 y[1] (numeric) = 0.063736808791039573482236131951569 absolute error = 1.2373278181718240066258126551753e-21 relative error = 1.9413080787091014360259826795438e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.958 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.04 y[1] (analytic) = 0.063769003162942556881950821344761 y[1] (numeric) = 0.063769003162942556880680472170582 absolute error = 1.2703491741788415587847337132228e-21 relative error = 1.9921107609802921788238680197275e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.957 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.041 y[1] (analytic) = 0.063801221933762719810362352021838 y[1] (numeric) = 0.063801221933762719809058914718933 absolute error = 1.3034373029049884048173104996876e-21 relative error = 2.0429660489233161565805388050053e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.956 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.042 y[1] (analytic) = 0.063833465128161001276413968702707 y[1] (numeric) = 0.063833465128161001275077376346419 absolute error = 1.3365923562879530511743106654574e-21 relative error = 2.0938740417810988542776673747738e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.955 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.043 y[1] (analytic) = 0.063865732770829505380975381739855 y[1] (numeric) = 0.063865732770829505379605567253205 absolute error = 1.3698144866496610710779849534459e-21 relative error = 2.1448348389972908952117355625327e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.954 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.044 y[1] (analytic) = 0.063898024886491548591636413081817 y[1] (numeric) = 0.06389802488649154859023330923512 absolute error = 1.4031038466973442468262081092260e-21 relative error = 2.1958485402167248832798360032068e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.953 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.045 y[1] (analytic) = 0.063930341499901707099943901125334 y[1] (numeric) = 0.063930341499901707098507440535809 absolute error = 1.4364605895246129582585949523847e-21 relative error = 2.2469152452858734008404898710075e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.952 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.046 y[1] (analytic) = 0.063962682635845864262488521896601 y[1] (numeric) = 0.063962682635845864261018637027988 absolute error = 1.4698848686125318280647291957744e-21 relative error = 2.2980350542533081653656031755323e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.951 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.047 y[1] (analytic) = 0.063995048319141258126011241754158 y[1] (numeric) = 0.063995048319141258124507864916327 absolute error = 1.5033768378306986346524936647961e-21 relative error = 2.3492080673701603481094508377280e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.95 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.048 y[1] (analytic) = 0.064027438574636529036699503351964 y[1] (numeric) = 0.064027438574636529035162566700526 absolute error = 1.5369366514383265033324853985885e-21 relative error = 2.4004343850905820580303770030716e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.949 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.049 y[1] (analytic) = 0.064059853427211767333843634125735 y[1] (numeric) = 0.064059853427211767332273069661649 absolute error = 1.5705644640853293866126382921202e-21 relative error = 2.4517141080722089942107315407951e-18 % Correct digits = 19 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.435 Order of pole = 2.022e-58 TOP MAIN SOLVE Loop x[1] = 2.05 y[1] (analytic) = 0.064092292901778561128024355071303 y[1] (numeric) = 0.064092292901778561126420094640489 absolute error = 1.6042604308134108444354600477856e-21 relative error = 2.5030473371766242700304265395574e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.947 Order of pole = 1225 memory used=15.2MB, alloc=4.3MB, time=2.14 TOP MAIN SOLVE Loop x[1] = 2.051 y[1] (analytic) = 0.064124757023280044164002657073432 y[1] (numeric) = 0.064124757023280044162364632366375 absolute error = 1.6380247070571561352287198348112e-21 relative error = 2.5544341734698234123593929564666e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.946 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.052 y[1] (analytic) = 0.064157245816690943768483702519789 y[1] (numeric) = 0.064157245816690943766811845071144 absolute error = 1.6718574486451276286789987947469e-21 relative error = 2.6058747182226805390441465230077e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.945 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.053 y[1] (analytic) = 0.064189759307017628882926801400544 y[1] (numeric) = 0.064189759307017628881221042588743 absolute error = 1.7057588118009635511762379742434e-21 relative error = 2.6573690729114157179736336739285e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.944 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.054 y[1] (analytic) = 0.064222297519298158181573903551981 y[1] (numeric) = 0.064222297519298158179834174598837 absolute error = 1.7397289531444800749162880074546e-21 relative error = 2.7089173392180635110195227595883e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.943 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.055 y[1] (analytic) = 0.064254860478602328274869442155365 y[1] (numeric) = 0.064254860478602328273095674125672 absolute error = 1.7737680296927767616874825075778e-21 relative error = 2.7605196190309427061561332452496e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.942 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.056 y[1] (analytic) = 0.064287448210031721998444758052903 y[1] (numeric) = 0.064287448210031721996636881854042 absolute error = 1.8078761988613453724064232606467e-21 relative error = 2.8121760144451272410752561092922e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.941 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.057 y[1] (analytic) = 0.064320060738719756787840729893758 y[1] (numeric) = 0.064320060738719756785998676275293 absolute error = 1.8420536184651820535074805477229e-21 relative error = 2.8638866277629183216212123438105e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.94 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.058 y[1] (analytic) = 0.064352698089831733139142631577457 y[1] (numeric) = 0.064352698089831733137266331130737 absolute error = 1.8763004467199029113299768596734e-21 relative error = 2.9156515614943177383816234534042e-18 % Correct digits = 19 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.073 Order of pole = 1.676e-58 TOP MAIN SOLVE Loop x[1] = 2.059 y[1] (analytic) = 0.06438536028856488315570163592255 y[1] (numeric) = 0.064385360288564883153791019080307 absolute error = 1.9106168422428629856866375199834e-21 relative error = 2.9674709183575023847795282595509e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.938 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.06 y[1] (analytic) = 0.064418047360148419181117781957793 y[1] (numeric) = 0.064418047360148419179172778993739 absolute error = 1.9450029640542786338366579063743e-21 relative error = 3.0193448012792999800226742675392e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.937 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.061 y[1] (analytic) = 0.064450759329843582518659622714278 y[1] (numeric) = 0.0644507593298435825166801637427 absolute error = 1.9794589715783533361266546748335e-21 relative error = 3.0712733133956660002760394598062e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.936 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.062 y[1] (analytic) = 0.064483496222943692237296170892614 y[1] (numeric) = 0.06448349622294369223528218586797 absolute error = 2.0139850246444069346028382561489e-21 relative error = 3.1232565580521618214339017633589e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.935 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.063 y[1] (analytic) = 0.064516258064774194064517161292387 y[1] (numeric) = 0.064516258064774194062468580008899 absolute error = 2.0485812834880083159379665339516e-21 relative error = 3.1752946388044340768780687199287e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.934 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.064 y[1] (analytic) = 0.064549044880692709366118051424417 y[1] (numeric) = 0.064549044880692709364034803515665 absolute error = 2.0832479087521115500570156460641e-21 relative error = 3.2273876594186952336192091862328e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.933 Order of pole = 1225 TOP MAIN SOLVE Loop memory used=19.0MB, alloc=4.3MB, time=2.72 x[1] = 2.065 y[1] (analytic) = 0.064581856696089084213126585282764 y[1] (numeric) = 0.064581856696089084211008600221275 absolute error = 2.1179850614881954958860339017738e-21 relative error = 3.2795357238722053902285923292693e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.932 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.066 y[1] (analytic) = 0.064614693536385438536048149835788 y[1] (numeric) = 0.064614693536385438533895356932631 absolute error = 2.1527929031574068856893295033439e-21 relative error = 3.3317389363537552999779368795053e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.931 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.067 y[1] (analytic) = 0.06464755542703621536660755940674 y[1] (numeric) = 0.064647555427036215364419887811108 absolute error = 2.1876715956317068995009827301907e-21 relative error = 3.3839974012641506226155056851144e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.93 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.068 y[1] (analytic) = 0.064680442393528230167165309757226 y[1] (numeric) = 0.064680442393528230164942688456031 absolute error = 2.2226213011950212411976691209747e-21 relative error = 3.4363112232166974082170471955801e-18 % Correct digits = 19 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.417 Order of pole = 1.932e-58 TOP MAIN SOLVE Loop x[1] = 2.069 y[1] (analytic) = 0.064713354461380720247986751364368 y[1] (numeric) = 0.064713354461380720245729109181823 absolute error = 2.2576421825443937278009326073896e-21 relative error = 3.4886805070376888165606867159098e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.928 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.07 y[1] (analytic) = 0.064746291656145394272543040097378 y[1] (numeric) = 0.064746291656145394270250305694587 absolute error = 2.2927344027911434036383571514457e-21 relative error = 3.5411053577668930754854062368364e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.927 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.071 y[1] (analytic) = 0.064779254003406481851023133254618 y[1] (numeric) = 0.064779254003406481848695235129156 absolute error = 2.3278981254620251910345528560681e-21 relative error = 3.5935858806580426817033224855791e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.926 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.072 y[1] (analytic) = 0.064812241528780783222236509720799 y[1] (numeric) = 0.064812241528780783219873376206299 absolute error = 2.3631335145003940892444984001437e-21 relative error = 3.6461221811793248475465786803523e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.925 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.073 y[1] (analytic) = 0.064845254257917719024086704848849 y[1] (numeric) = 0.064845254257917719021688264114582 absolute error = 2.3984407342673729333835666398667e-21 relative error = 3.6987143650138731971403064346809e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.924 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.074 y[1] (analytic) = 0.064878292216499380152796163564922 y[1] (numeric) = 0.064878292216499380150362343615379 absolute error = 2.4338199495430237251505049672065e-21 relative error = 3.7513625380602607155037904699918e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.923 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.075 y[1] (analytic) = 0.064911355430240577711063329141142 y[1] (numeric) = 0.064911355430240577708594057815614 absolute error = 2.4692713255275225471817471752756e-21 relative error = 3.8040668064329939540926803827105e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.922 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.076 y[1] (analytic) = 0.064944443924888893045333300081778 y[1] (numeric) = 0.064944443924888893042828505053936 absolute error = 2.5047950278423380729176998038135e-21 relative error = 3.8568272764630084963058408014365e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.921 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.077 y[1] (analytic) = 0.064977557726224727872363803627684 y[1] (numeric) = 0.064977557726224727869823412405153 absolute error = 2.5403912225314136839040738832981e-21 relative error = 3.9096440546981656864912139874712e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.92 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.078 y[1] (analytic) = 0.065010696860061354495268651503918 y[1] (numeric) = 0.065010696860061354492692591427856 absolute error = 2.5760600760623532064939233235519e-21 relative error = 3.9625172479037506259958874052434e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.919 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.079 y[1] (analytic) = 0.065043861352244966109221261719522 y[1] (numeric) = 0.065043861352244966106609459964194 absolute error = 2.6118017553276102799588045652127e-21 relative error = 4.0154469630629714398164131457480e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.918 Order of pole = 1225 TOP MAIN SOLVE Loop memory used=22.8MB, alloc=4.4MB, time=3.29 x[1] = 2.08 y[1] (analytic) = 0.065077051228654727197001249479384 y[1] (numeric) = 0.065077051228654727194353633051738 absolute error = 2.6476164276456813680603891960294e-21 relative error = 4.0684333073774598174163164541867e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.917 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.081 y[1] (analytic) = 0.065110266515202824014567510589045 y[1] (numeric) = 0.065110266515202824011884006328283 absolute error = 2.6835042607623024261769426974797e-21 relative error = 4.1214763882677728312886571212747e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.916 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.082 y[1] (analytic) = 0.065143507237834515166841642127107 y[1] (numeric) = 0.065143507237834515164122176704256 absolute error = 2.7194654228516492361223290024296e-21 relative error = 4.1745763133738960368524702753492e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.915 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.083 y[1] (analytic) = 0.065176773422528182273885967629695 y[1] (numeric) = 0.065176773422528182271130467547177 absolute error = 2.7555000825175414208386127861333e-21 relative error = 4.2277331905557478572829122891624e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.914 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.084 y[1] (analytic) = 0.065210065095295380727660857580174 y[1] (numeric) = 0.06521006509529538072486924917138 absolute error = 2.7916084087946501511869100584055e-21 relative error = 4.2809471278936852568859732212611e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.913 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.085 y[1] (analytic) = 0.065243382282180890539546460628065 y[1] (numeric) = 0.065243382282180890536718670056916 absolute error = 2.8277905711497095571048833548212e-21 relative error = 4.3342182336890107066396895778100e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.912 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.086 y[1] (analytic) = 0.065276725009262767278814386676864 y[1] (numeric) = 0.065276725009262767275950339937381 absolute error = 2.8640467394827318554431913228250e-21 relative error = 4.3875466164644804455349003378120e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.911 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.087 y[1] (analytic) = 0.065310093302652393102235309784386 y[1] (numeric) = 0.065310093302652393099334932700258 absolute error = 2.9003770841282262068372844511121e-21 relative error = 4.4409323849648140413597352645829e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.91 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.088 y[1] (analytic) = 0.065343487188494527875008886714258 y[1] (numeric) = 0.065343487188494527872072104938401 absolute error = 2.9367817758564213140151897870574e-21 relative error = 4.4943756481572052545832076612540e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.909 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.089 y[1] (analytic) = 0.065376906692967360383202815966427 y[1] (numeric) = 0.065376906692967360380229554980552 absolute error = 2.9732609858744917739863484197517e-21 relative error = 4.5478765152318342090045040506996e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.908 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.09 y[1] (analytic) = 0.065410351842282559637888292201124 y[1] (numeric) = 0.065410351842282559634878477315296 absolute error = 3.0098148858277881966011609708362e-21 relative error = 4.6014350956023808728458209038241e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.907 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.091 y[1] (analytic) = 0.065443822662685326271159542157634 y[1] (numeric) = 0.065443822662685326268113098509833 absolute error = 3.0464436478010711020156590302994e-21 relative error = 4.6550514989065398539778936383162e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.906 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.092 y[1] (analytic) = 0.065477319180454444024225560459661 y[1] (numeric) = 0.065477319180454444021142413015342 absolute error = 3.0831474443197486096406551012464e-21 relative error = 4.7087258350065365129786957970201e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.905 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.093 y[1] (analytic) = 0.065510841421902331327762597096075 y[1] (numeric) = 0.065510841421902331324642670647724 absolute error = 3.1199264483511179311998308809647e-21 relative error = 4.7624582139896443977371567257287e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.904 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.094 y[1] (analytic) = 0.065544389413375092974716382872569 y[1] (numeric) = 0.065544389413375092971559602039264 absolute error = 3.1567808333056106805665043130492e-21 relative error = 4.8162487461687040033251543397484e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.903 Order of pole = 1225 TOP MAIN SOLVE Loop memory used=26.7MB, alloc=4.4MB, time=3.86 x[1] = 2.095 y[1] (analytic) = 0.065577963181252571885743514749304 y[1] (numeric) = 0.065577963181252571882549803976266 absolute error = 3.1937107730380420130942705076499e-21 relative error = 4.8700975420826428608724858327915e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.902 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.096 y[1] (analytic) = 0.06561156275194840096748185971513 y[1] (numeric) = 0.065611562751948400964251143273281 absolute error = 3.2307164418488636072023410579192e-21 relative error = 4.9240047124969969591910035769415e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.901 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.097 y[1] (analytic) = 0.065645188151910055063840273703673 y[1] (numeric) = 0.065645188151910055060572475689188 absolute error = 3.2677980144854205010222111973959e-21 relative error = 4.9779703684044335029056261254312e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.9 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.098 y[1] (analytic) = 0.065678839407618903000498371033425 y[1] (numeric) = 0.065678839407618902997193415367282 absolute error = 3.3049556661432117969582653654587e-21 relative error = 5.0319946210252750108614952981389e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.899 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.099 y[1] (analytic) = 0.065712516545590259722807519956398 y[1] (numeric) = 0.065712516545590259719465330383931 absolute error = 3.3421895724671552470610897993246e-21 relative error = 5.0860775818080247585881499409251e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.898 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.1 y[1] (analytic) = 0.065746219592373438527284681130835 y[1] (numeric) = 0.065746219592373438523905181221282 absolute error = 3.3794999095528557321585964777270e-21 relative error = 5.1402193624298935686132252426228e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.897 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.101 y[1] (analytic) = 0.065779948574551803386891148196238 y[1] (numeric) = 0.06577994857455180338347426134229 absolute error = 3.4168868539478776477365768329235e-21 relative error = 5.1944200747973279524298636066046e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.896 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.102 y[1] (analytic) = 0.065813703518742821370288693126759 y[1] (numeric) = 0.065813703518742821366834342544106 absolute error = 3.4543505826530212096069968567840e-21 relative error = 5.2486798310465396079337391468706e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.895 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.103 y[1] (analytic) = 0.065847484451598115155266063674913 y[1] (numeric) = 0.065847484451598115151774172401789 absolute error = 3.4918912731236026924492182893133e-21 relative error = 5.3029987435440362761573530515451e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.894 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.104 y[1] (analytic) = 0.065881291399803515636529225994966 y[1] (numeric) = 0.065881291399803515632999716891695 absolute error = 3.5295091032707386143563842332024e-21 relative error = 5.3573769248871539611410514701080e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.893 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.105 y[1] (analytic) = 0.065915124390079114628049192457332 y[1] (numeric) = 0.06591512439007911462448198820587 absolute error = 3.5672042514626338805664425282532e-21 relative error = 5.4118144879045905167920513757193e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.892 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.106 y[1] (analytic) = 0.065948983449179317660161722735173 y[1] (numeric) = 0.065948983449179317656556745838648 absolute error = 3.6049768965258738996046972903796e-21 relative error = 5.4663115456569406045946331722586e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.891 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.107 y[1] (analytic) = 0.06598286860389289687161363546537 y[1] (numeric) = 0.065982868603892896867970808247623 absolute error = 3.6428272177467206851123789202230e-21 relative error = 5.5208682114372320260465717994115e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.89 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.108 y[1] (analytic) = 0.066016779881043043996750918161375 y[1] (numeric) = 0.066016779881043043993070162766502 absolute error = 3.6807553948724129566835063683761e-21 relative error = 5.5754845987714634337088308810021e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.889 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.109 y[1] (analytic) = 0.06605071730748742344804427458842 y[1] (numeric) = 0.066050717307487423444325512980307 absolute error = 3.7187616081124702530802832632026e-21 relative error = 5.6301608214191434247675372051179e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.888 Order of pole = 1225 memory used=30.5MB, alloc=4.4MB, time=4.45 TOP MAIN SOLVE Loop x[1] = 2.11 y[1] (analytic) = 0.066084680910118225494148201505409 y[1] (numeric) = 0.066084680910118225490391355467269 absolute error = 3.7568460381400010712454224220149e-21 relative error = 5.6848969933738310210192856632171e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.887 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.111 y[1] (analytic) = 0.066118670715862219533690140535896 y[1] (numeric) = 0.066118670715862219529895131669803 absolute error = 3.7950088660930150445781320389648e-21 relative error = 5.7396932288636775392028978537688e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.886 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.112 y[1] (analytic) = 0.06615268675168080746498670595607 y[1] (numeric) = 0.066152686751680807461153455682495 absolute error = 3.8332502735757391739890222388120e-21 relative error = 5.7945496423519698556128710189980e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.885 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.113 y[1] (analytic) = 0.066186729044570077151884445384002 y[1] (numeric) = 0.066186729044570077148012874941342 absolute error = 3.8715704426599381252979034734800e-21 relative error = 5.8494663485376750689419079765107e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.884 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.114 y[1] (analytic) = 0.066220797621560855985923047724799 y[1] (numeric) = 0.066220797621560855982013078168913 absolute error = 3.9099695558862386065873491901030e-21 relative error = 5.9044434623559865653121133770349e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.883 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.115 y[1] (analytic) = 0.066254892509718764545019371274198 y[1] (numeric) = 0.066254892509718764541070923477932 absolute error = 3.9484477962654578391739850905832e-21 relative error = 5.9594810989788714894666771118817e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.882 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.116 y[1] (analytic) = 0.066289013736144270348871124611679 y[1] (numeric) = 0.066289013736144270344884119264399 absolute error = 3.9870053472799361359087469123906e-21 relative error = 6.0145793738156196261061421562005e-18 % Correct digits = 19 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.872 Order of pole = 1.872e-58 TOP MAIN SOLVE Loop x[1] = 2.117 y[1] (analytic) = 0.066323161327972741711279493826939 y[1] (numeric) = 0.066323161327972741707253851434054 absolute error = 4.0256423928848736005668187707463e-21 relative error = 6.0697384025133936953656717144675e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.88 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.118 y[1] (analytic) = 0.06635733531237450168959047172368 y[1] (numeric) = 0.06635733531237450168552611260617 absolute error = 4.0643591175096709621376254991389e-21 relative error = 6.1249583009577810664420893812485e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.879 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.119 y[1] (analytic) = 0.066391535716554882131455107935707 y[1] (numeric) = 0.066391535716554882127351952229648 absolute error = 4.1031557060592745578751058975099e-21 relative error = 6.1802391852733468933918662920344e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.878 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.12 y[1] (analytic) = 0.066425762567754277819109363375492 y[1] (numeric) = 0.066425762567754277814967331031576 absolute error = 4.1420323439155254790185401380125e-21 relative error = 6.2355811718241886771336710653695e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.877 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.121 y[1] (analytic) = 0.06646001589324820071137471811815 y[1] (numeric) = 0.066460015893248200707193728901212 absolute error = 4.1809892169385128931444445831124e-21 relative error = 6.2909843772144922577015818786487e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.876 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.122 y[1] (analytic) = 0.066494295720347334283581148707577 y[1] (numeric) = 0.066494295720347334279361122196109 absolute error = 4.2200265114679315571604817395406e-21 relative error = 6.3464489182890892408075854265069e-18 % Correct digits = 19 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.358 Order of pole = 2.183e-58 TOP MAIN SOLVE Loop x[1] = 2.123 y[1] (analytic) = 0.06652860207639758796561455895961 y[1] (numeric) = 0.066528602076397587961355414545285 absolute error = 4.2591444143244435350029628073243e-21 relative error = 6.4019749121340158627845549339093e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.874 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.124 y[1] (analytic) = 0.066562934988780151678291217633107 y[1] (numeric) = 0.066562934988780151673992874520296 memory used=34.3MB, alloc=4.4MB, time=5.03 absolute error = 4.2983431128110441341503460924469e-21 relative error = 6.4575624760770732979935089876960e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.873 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.125 y[1] (analytic) = 0.066597294484911550468262226847034 y[1] (numeric) = 0.06659729448491155046392460405232 absolute error = 4.3376227947144320751161572447726e-21 relative error = 6.5132117276883894127916048628539e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.872 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.126 y[1] (analytic) = 0.066631680592243699241651516843556 y[1] (numeric) = 0.06663168059224369923727453319525 absolute error = 4.3769836483063839081359776734501e-21 relative error = 6.5689227847809819701700144061908e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.871 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.127 y[1] (analytic) = 0.06666609333826395759663133563718 y[1] (numeric) = 0.066666093338263957592214909774835 absolute error = 4.4164258623451326913145663973722e-21 relative error = 6.6246957654113232891835675539649e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.87 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.128 y[1] (analytic) = 0.066700532750495184755139676251622 y[1] (numeric) = 0.066700532750495184750683726625545 absolute error = 4.4559496260767509445507988293063e-21 relative error = 6.6805307878799063633068283555711e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.869 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.129 y[1] (analytic) = 0.06673499885649579459394455963276 y[1] (numeric) = 0.066734998856495794589449004503523 absolute error = 4.4955551292365378936099243935166e-21 relative error = 6.7364279707318124418640911073989e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.868 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.13 y[1] (analytic) = 0.066769491683859810775260567941296 y[1] (numeric) = 0.066769491683859810770725325379246 absolute error = 4.5352425620504110187646642661957e-21 relative error = 6.7923874327572800786936500248386e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.867 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.131 y[1] (analytic) = 0.066804011260216921977123500776029 y[1] (numeric) = 0.066804011260216921972548488660792 absolute error = 4.5750121152363019224788917375673e-21 relative error = 6.8484092929922756522196049521214e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.866 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.132 y[1] (analytic) = 0.066838557613232537223729505961465 y[1] (numeric) = 0.066838557613232537219114641981459 absolute error = 4.6148639800055565306600615595383e-21 relative error = 6.9044936707190653611174180858354e-18 % Correct digits = 19 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.773 Order of pole = 7.692e-59 TOP MAIN SOLVE Loop x[1] = 2.133 y[1] (analytic) = 0.066873130770607841315945516855406 y[1] (numeric) = 0.066873130770607841311290718507342 absolute error = 4.6547983480643396420591820023555e-21 relative error = 6.9606406854667886997724327257622e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.864 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.134 y[1] (analytic) = 0.066907730760079850362198309696616 y[1] (numeric) = 0.066907730760079850357503494285001 absolute error = 4.6948154116150438404499550406502e-21 relative error = 7.0168504570120334177436048239537e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.863 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.135 y[1] (analytic) = 0.066942357609421467409949977323276 y[1] (numeric) = 0.066942357609421467405215061959919 absolute error = 4.7349153633577027842717469700311e-21 relative error = 7.0731231053794119674577817381393e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.862 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.136 y[1] (analytic) = 0.06697701134644153817796809965322 y[1] (numeric) = 0.066977011346441538173193001256728 absolute error = 4.7750983964914088884742946702273e-21 relative error = 7.1294587508421394443729902676650e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.861 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.137 y[1] (analytic) = 0.067011691998984906889599376630436 y[1] (numeric) = 0.067011691998984906884784011925721 absolute error = 4.8153647047157354133555025336682e-21 relative error = 7.1858575139226130238623679188845e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.86 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.138 y[1] (analytic) = 0.067046399594932472207255975912642 y[1] (numeric) = 0.06704639959493247220240026143041 absolute error = 4.8557144822321629752373426270321e-21 relative error = 7.2423195153929928990835875725259e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.859 Order of pole = 1225 TOP MAIN SOLVE Loop memory used=38.1MB, alloc=4.4MB, time=5.60 x[1] = 2.139 y[1] (analytic) = 0.067081134162201243268324335405402 y[1] (numeric) = 0.067081134162201243263428187481657 absolute error = 4.8961479237455104938787368092199e-21 relative error = 7.2988448762757847241118864689558e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.858 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.14 y[1] (analytic) = 0.067115895728744395822706649842949 y[1] (numeric) = 0.067115895728744395817769984618483 absolute error = 4.9366652244653705915783751577128e-21 relative error = 7.3554337178444235666281158499858e-18 % Correct digits = 19 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.301 Order of pole = 2.256e-58 TOP MAIN SOLVE Loop x[1] = 2.141 y[1] (analytic) = 0.067150684322551328472205760978079 y[1] (numeric) = 0.067150684322551328467228494397972 absolute error = 4.9772665801075494589747110254731e-21 relative error = 7.4120861616238593744665778600733e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.856 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.142 y[1] (analytic) = 0.067185499971647719011964662576951 y[1] (numeric) = 0.067185499971647719006946710390055 absolute error = 5.0179521868955112026048702354049e-21 relative error = 7.4688023293911439603408115782486e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.855 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.143 y[1] (analytic) = 0.067220342704095580874172324322827 y[1] (numeric) = 0.067220342704095580869113602081265 absolute error = 5.0587222415618266893389211956983e-21 relative error = 7.5255823431760195090789304882825e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.854 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.144 y[1] (analytic) = 0.067255212547993319674248032919543 y[1] (numeric) = 0.067255212547993319669148455978194 absolute error = 5.0995769413496269028608749678161e-21 relative error = 7.5824263252615086117135994625466e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.853 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.145 y[1] (analytic) = 0.067290109531475789859716944154256 y[1] (numeric) = 0.067290109531475789854576427670242 absolute error = 5.1405164840140608274229204240013e-21 relative error = 7.6393343981845058307852705994094e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.852 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.146 y[1] (analytic) = 0.067325033682714351461990036433615 y[1] (numeric) = 0.067325033682714351456808495365791 absolute error = 5.1815410678237578741547504814455e-21 relative error = 7.6963066847363708012308741802062e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.851 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.147 y[1] (analytic) = 0.067359985029916926951262154351499 y[1] (numeric) = 0.067359985029916926946039503459937 absolute error = 5.2226508915622948652654018880515e-21 relative error = 7.7533433079635228712437837657875e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.85 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.148 y[1] (analytic) = 0.067394963601328058194742330183562 y[1] (numeric) = 0.067394963601328058189478484029033 absolute error = 5.2638461545296675915308140563715e-21 relative error = 7.8104443911680372875045432010291e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.849 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.149 y[1] (analytic) = 0.067429969425228963518431071837799 y[1] (numeric) = 0.067429969425228963513125944781255 absolute error = 5.3051270565437669585163128980914e-21 relative error = 7.8676100579082429291955582057588e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.848 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.15 y[1] (analytic) = 0.067465002529937594872659807724743 y[1] (numeric) = 0.067465002529937594867313313926801 absolute error = 5.3464937979418597370394444056260e-21 relative error = 7.9248404319993215952267164702392e-18 % Correct digits = 19 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.008 Order of pole = 1.840e-58 TOP MAIN SOLVE Loop x[1] = 2.151 y[1] (analytic) = 0.06750006294380869510160818224963 y[1] (numeric) = 0.067500062943808695096220235670048 absolute error = 5.3879465795820739334350207682468e-21 relative error = 7.9821356375139088491127079112444e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.846 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.152 y[1] (analytic) = 0.067535150695233855317015400175483 y[1] (numeric) = 0.067535150695233855311585914572638 absolute error = 5.4294856028448887952409000099642e-21 relative error = 8.0394957987826964259566711501141e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.845 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.153 y[1] (analytic) = 0.067570265812641572376302323964423 y[1] (numeric) = 0.067570265812641572370831212894789 absolute error = 5.4711110696346294679798994114338e-21 relative error = 8.0969210403950362060086935168668e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.844 Order of pole = 1225 TOP MAIN SOLVE Loop memory used=41.9MB, alloc=4.4MB, time=6.17 x[1] = 2.154 y[1] (analytic) = 0.067605408324497306465321535378316 y[1] (numeric) = 0.067605408324497306459808712195935 absolute error = 5.5128231823809663187703442488203e-21 relative error = 8.1544114871995457592816401350784e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.843 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.155 y[1] (analytic) = 0.06764057825930353878595308111289 y[1] (numeric) = 0.06764057825930353878039845896885 absolute error = 5.5546221440404189425550775732612e-21 relative error = 8.2119672643047154657207830720034e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.842 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.156 y[1] (analytic) = 0.06767577564559982934876413205547 y[1] (numeric) = 0.067675775645599829343167623897372 absolute error = 5.5965081580978648667963047938602e-21 relative error = 8.2695884970795172154377443192489e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.841 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.157 y[1] (analytic) = 0.067711000511962874870951296899263 y[1] (numeric) = 0.067711000511962874865312815470695 absolute error = 5.6384814285680529705414196476368e-21 relative error = 8.3272753111540146935333566737651e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.84 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.158 y[1] (analytic) = 0.067746252887006566779784843320531 y[1] (numeric) = 0.067746252887006566774104301160534 absolute error = 5.6805421599971216338229566783337e-21 relative error = 8.3850278324199752540481845902443e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.839 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.159 y[1] (analytic) = 0.067781532799382049321774593732743 y[1] (numeric) = 0.067781532799382049316051903175279 absolute error = 5.7226905574641216334140405433531e-21 relative error = 8.4428461870314833875936329481481e-18 % Correct digits = 19 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.675 Order of pole = 2.383e-58 TOP MAIN SOLVE Loop x[1] = 2.16 y[1] (analytic) = 0.067816840277777777777777777777778 y[1] (numeric) = 0.067816840277777777772012850951195 absolute error = 5.7649268265825438010191552694375e-21 relative error = 8.5007305014055557872308055941018e-18 % Correct digits = 19 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.761 Order of pole = 3.771e-59 TOP MAIN SOLVE Loop x[1] = 2.161 y[1] (analytic) = 0.067852175350919576784269640202305 y[1] (numeric) = 0.067852175350919576778462389028803 absolute error = 5.8072511735018514600387379323078e-21 relative error = 8.5586809022227580171785576586055e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.836 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.162 y[1] (analytic) = 0.067887538047570698760998120601397 y[1] (numeric) = 0.067887538047570698755148456796488 absolute error = 5.8496638049090176571050120967930e-21 relative error = 8.6166975164278227889465161808713e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.835 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.163 y[1] (analytic) = 0.067922928396531882445244440695099 y[1] (numeric) = 0.067922928396531882439352275767069 absolute error = 5.8921649280300672046456176797483e-21 relative error = 8.6747804712302698495032226837714e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.834 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.164 y[1] (analytic) = 0.067958346426641411532911955341037 y[1] (numeric) = 0.067958346426641411526977200590405 absolute error = 5.9347547506316235507909666502037e-21 relative error = 8.7329298941050274861039791997216e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.833 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.165 y[1] (analytic) = 0.067993792166775173426666145380927 y[1] (numeric) = 0.067993792166775173420688711899904 absolute error = 5.9774334810224604930008591259520e-21 relative error = 8.7911459127930556524174560358680e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.832 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.166 y[1] (analytic) = 0.068029265645846718091349153675118 y[1] (numeric) = 0.068029265645846718085328952347063 absolute error = 6.0202013280550587518457329336624e-21 relative error = 8.8494286553019707206046454619414e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.831 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.167 y[1] (analytic) = 0.068064766892807317016892790300825 y[1] (numeric) = 0.068064766892807317010829731799698 absolute error = 6.0630585011271674214379925454254e-21 relative error = 8.9077782499066718640183206860218e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.83 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.168 y[1] (analytic) = 0.068100295936646022288954458880497 y[1] (numeric) = 0.068100295936646022282848453670313 absolute error = 6.1060052101833703130691714675373e-21 relative error = 8.9661948251499690752057841323727e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.829 Order of pole = 1225 memory used=45.7MB, alloc=4.4MB, time=6.75 TOP MAIN SOLVE Loop x[1] = 2.169 y[1] (analytic) = 0.068135852806389725767500983370696 y[1] (numeric) = 0.068135852806389725761351941704979 absolute error = 6.1490416657166572086692266207984e-21 relative error = 9.0246785098432128239123633322972e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.828 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.17 y[1] (analytic) = 0.068171437531103218373565843382939 y[1] (numeric) = 0.068171437531103218367373675304169 absolute error = 6.1921680787700000407650450035110e-21 relative error = 9.0832294330669253597978368652002e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.827 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.171 y[1] (analytic) = 0.068207050139889249484405856230042 y[1] (numeric) = 0.068207050139889249478170471569104 absolute error = 6.2353846609379340156762629609460e-21 relative error = 9.1418477241714336645927469249803e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.826 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.172 y[1] (analytic) = 0.068242690661888586437283875398674 y[1] (numeric) = 0.068242690661888586431005183774306 absolute error = 6.2786916243681436967477576949808e-21 relative error = 9.2005335127775040584363794195047e-18 % Correct digits = 19 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.081 Order of pole = 2.305e-59 TOP MAIN SOLVE Loop x[1] = 2.173 y[1] (analytic) = 0.068278359126280074142104608045007 y[1] (numeric) = 0.068278359126280074135782518863244 absolute error = 6.3220891817630540644796702359687e-21 relative error = 9.2592869287769784651530672219410e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.824 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.174 y[1] (analytic) = 0.068314055562280694803131188399508 y[1] (numeric) = 0.068314055562280694796765610853127 absolute error = 6.3655775463814265704775599712394e-21 relative error = 9.3181081023334123412383974665554e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.823 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.175 y[1] (analytic) = 0.068349779999145627750010679653125 y[1] (numeric) = 0.068349779999145627743601522721085 absolute error = 6.4091569320399602022072739909449e-21 relative error = 9.3769971638827142733418798033769e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.822 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.176 y[1] (analytic) = 0.068385532466168309378337213984349 y[1] (numeric) = 0.068385532466168309371884386431234 absolute error = 6.4528275531148975756013409867807e-21 relative error = 9.4359542441337872490476594817510e-18 % Correct digits = 19 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.475 Order of pole = 3.594e-59 TOP MAIN SOLVE Loop x[1] = 2.177 y[1] (analytic) = 0.068421312992680493199982018878946 y[1] (numeric) = 0.068421312992680493193485429254402 absolute error = 6.4965896245436360726261702414363e-21 relative error = 9.4949794740691716057699372088601e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.82 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.178 y[1] (analytic) = 0.068457121608052310003420117795538 y[1] (numeric) = 0.068457121608052309996879674433712 absolute error = 6.5404433618263440409820524000264e-21 relative error = 9.5540729849456896625948871131027e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.819 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.179 y[1] (analytic) = 0.068492958341692328124284034544834 y[1] (numeric) = 0.068492958341692328117699645563807 absolute error = 6.5843889810275820731709212473310e-21 relative error = 9.6132349082950920399160450218804e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.818 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.18 y[1] (analytic) = 0.068528823223047613826375373482087 y[1] (numeric) = 0.068528823223047613819746946783309 absolute error = 6.6284266987779293822300456591329e-21 relative error = 9.6724653759247056717253718276330e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.817 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.181 y[1] (analytic) = 0.068564716281603791793365691765535 y[1] (numeric) = 0.06856471628160379178669313503326 absolute error = 6.6725567322756152914932792895647e-21 relative error = 9.7317645199180835154374811544551e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.816 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.182 y[1] (analytic) = 0.068600637546885105731418625512138 y[1] (numeric) = 0.06860063754688510572470184621285 absolute error = 6.7167792992881558558052034410902e-21 relative error = 9.7911324726356559641398570405998e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.815 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.183 y[1] (analytic) = 0.068636587048454479082965778689973 y[1] (numeric) = 0.068636587048454479076204684071819 absolute error = 6.7610946181539956316774569860956e-21 relative error = 9.8505693667153839661772761106893e-18 % memory used=49.5MB, alloc=4.4MB, time=7.34 Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.814 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.184 y[1] (analytic) = 0.068672564815913575851869432028445 y[1] (numeric) = 0.068672564815913575845063929120661 absolute error = 6.8055029077841546139407572202926e-21 relative error = 9.9100753350734138569940899172861e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.813 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.185 y[1] (analytic) = 0.068708570878902861540205679106926 y[1] (numeric) = 0.068708570878902861533355674719262 absolute error = 6.8500043876638803565105781841288e-21 relative error = 9.9696505109047339081735169771901e-18 % Correct digits = 19 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.812 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.186 y[1] (analytic) = 0.068744605267101664196902148103928 y[1] (numeric) = 0.068744605267101664190007548826073 absolute error = 6.8945992778543052949491693498078e-21 relative error = 1.0029295027683832598628640706724e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.811 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.187 y[1] (analytic) = 0.068780668010228235578465020456402 y[1] (numeric) = 0.068780668010228235571525732657408 absolute error = 6.9392877989941092885715687036750e-21 relative error = 1.0089009019165358612915409166410e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.81 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.188 y[1] (analytic) = 0.068816759138039812422030611896601 y[1] (numeric) = 0.0688167591380398124150465417243 absolute error = 6.9840701723011873999084912267447e-21 relative error = 1.0148792619384782571653585453681e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.809 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.189 y[1] (analytic) = 0.068852878680332677830977337006129 y[1] (numeric) = 0.068852878680332677823948390386555 absolute error = 7.0289466195743229294044576649128e-21 relative error = 1.0208645962659060499057303928151e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.808 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.19 y[1] (analytic) = 0.06888902666694222277333443555776 y[1] (numeric) = 0.068889026666942222766260518194565 absolute error = 7.0739173631948657232952703646014e-21 relative error = 1.0268569183587299032592647413959e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.807 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.191 y[1] (analytic) = 0.068925203127743007693224397509291 y[1] (numeric) = 0.068925203127743007686105414883163 absolute error = 7.1189826261284157726749439137220e-21 relative error = 1.0328562417051422379795474294830e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.806 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.192 y[1] (analytic) = 0.068961408092648824235576583574606 y[1] (numeric) = 0.06896140809264882422841244094268 absolute error = 7.1641426319265121218284594612807e-21 relative error = 1.0388625798216841027298592197754e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.805 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.193 y[1] (analytic) = 0.068997641591612757084350099829238 y[1] (numeric) = 0.068997641591612757077140702224509 absolute error = 7.2093976047283271039732339858928e-21 relative error = 1.0448759462533122207133296949281e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.804 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.194 y[1] (analytic) = 0.069033903654627245914504547815505 y[1] (numeric) = 0.069033903654627245907249800046243 absolute error = 7.2547477692623659226189805430483e-21 relative error = 1.0508963545734662125386271883768e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.803 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.195 y[1] (analytic) = 0.069070194311724147457957836099882 y[1] (numeric) = 0.069070194311724147450657642749034 absolute error = 7.3001933508481715968226837471843e-21 relative error = 1.0569238183841359958308873585883e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.802 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.196 y[1] (analytic) = 0.069106513592974797683770805206982 y[1] (numeric) = 0.069106513592974797676425070631584 absolute error = 7.3457345753980352886827275464541e-21 relative error = 1.0629583513159293620991915961185e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.801 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.197 y[1] (analytic) = 0.069142861528490074092798985314678 y[1] (numeric) = 0.06914286152849007408540761364526 absolute error = 7.3913716694187120314837908394449e-21 relative error = 1.0689999670281397313735205350684e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.8 Order of pole = 1225 TOP MAIN SOLVE Loop memory used=53.4MB, alloc=4.4MB, time=7.98 x[1] = 2.198 y[1] (analytic) = 0.069179238148420458127052375047768 y[1] (numeric) = 0.069179238148420458119615270187755 absolute error = 7.4371048600131418769719717829026e-21 relative error = 1.0750486792088140851257275440410e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.799 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.199 y[1] (analytic) = 0.069215643482956097694004700157486 y[1] (numeric) = 0.069215643482956097686521765782604 absolute error = 7.4829343748821764803077148716863e-21 relative error = 1.0811045015748210779907022168789e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.798 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.2 y[1] (analytic) = 0.069252077562326869806094182825485 y[1] (numeric) = 0.069252077562326869798565322383158 absolute error = 7.5288604423263111413124971656440e-21 relative error = 1.0871674478719193288055245907190e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.797 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.201 y[1] (analytic) = 0.06928854041680244333565842578792 y[1] (numeric) = 0.069288540416802443328083542496672 absolute error = 7.5748832912474223206938825268756e-21 relative error = 1.0932375318748258914860471087476e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.796 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.202 y[1] (analytic) = 0.069325032076692341885546590442407 y[1] (numeric) = 0.069325032076692341877925587291257 absolute error = 7.6210031511505106500024765540167e-21 relative error = 1.0993147673872849062619832380629e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.795 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.203 y[1] (analytic) = 0.069361552572346006775652624582192 y[1] (numeric) = 0.069361552572346006767985404330047 absolute error = 7.6672202521454494541435112019156e-21 relative error = 1.1053991682421364317932291699186e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.794 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.204 y[1] (analytic) = 0.069398101934152860145613873402317 y[1] (numeric) = 0.069398101934152860137900338577368 absolute error = 7.7135348249487388053352580047068e-21 relative error = 1.1114907483013854586917981910875e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.793 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.205 y[1] (analytic) = 0.06943468019254236817391998694628 y[1] (numeric) = 0.069434680192542368166160039845395 absolute error = 7.7599471008852651274762135322701e-21 relative error = 1.1175895214562711049754061419709e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.792 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.206 y[1] (analytic) = 0.069471287377984104413677618213037 y[1] (numeric) = 0.069471287377984104405871160901147 absolute error = 7.8064573118900663699530213640434e-21 relative error = 1.1236955016273359939804108903136e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.791 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.207 y[1] (analytic) = 0.069507923520987813245276988727692 y[1] (numeric) = 0.069507923520987813237423923037181 absolute error = 7.8530656905101027699913926249816e-21 relative error = 1.1298087027644958152634789699532e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.79 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.208 y[1] (analytic) = 0.069544588652103473446206982499243 y[1] (numeric) = 0.069544588652103473438307210029337 absolute error = 7.8997724699060332227228631661861e-21 relative error = 1.1359291388471090690230284830247e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.789 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.209 y[1] (analytic) = 0.069581282801921361878266014949817 y[1] (numeric) = 0.069581282801921361870319437065963 absolute error = 7.9465778838539972782110809626912e-21 relative error = 1.1420568238840469945731790626097e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.788 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.21 y[1] (analytic) = 0.069618006001072117292416510606303 y[1] (numeric) = 0.069618006001072117284423028439556 absolute error = 7.9934821667474027847524534236830e-21 relative error = 1.1481917719137636834046271622313e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.787 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.211 y[1] (analytic) = 0.069654758280226804251531412101859 y[1] (numeric) = 0.069654758280226804243490926548261 absolute error = 8.0404855535987191978374022519367e-21 relative error = 1.1543339970043663773685582001538e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.786 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.212 y[1] (analytic) = 0.069691539670096977171281733345673 y[1] (numeric) = 0.069691539670096977163194145065632 absolute error = 8.0875882800412765742301744407159e-21 relative error = 1.1604835132536859525214061616006e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.785 Order of pole = 1225 TOP MAIN SOLVE Loop memory used=57.2MB, alloc=4.4MB, time=8.58 x[1] = 2.213 y[1] (analytic) = 0.069728350201434744479414761589357 y[1] (numeric) = 0.069728350201434744471279971007026 absolute error = 8.1347905823310702706971431543520e-21 relative error = 1.1666403347893475891699761722239e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.784 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.214 y[1] (analytic) = 0.069765189905032832893673106551816 y[1] (numeric) = 0.069765189905032832885491013854468 absolute error = 8.1820926973485713669858028051679e-21 relative error = 1.1728044757688416286581563230550e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.783 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.215 y[1] (analytic) = 0.069802058811724651818605389765971 y[1] (numeric) = 0.069802058811724651810375894903371 absolute error = 8.2294948626005428327292198216773e-21 relative error = 1.1789759503795946174381616723981e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.782 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.216 y[1] (analytic) = 0.069838956952384357861519963884879 y[1] (numeric) = 0.069838956952384357853242966568657 absolute error = 8.2769973162218614580235456138647e-21 relative error = 1.1851547728390405389709758954524e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.781 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.217 y[1] (analytic) = 0.069875884357926919467833649836152 y[1] (numeric) = 0.069875884357926919459509049539174 absolute error = 8.3246002969773455674993322990594e-21 relative error = 1.1913409573946922340023845197241e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.78 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.218 y[1] (analytic) = 0.069912841059308181676068079446715 y[1] (numeric) = 0.069912841059308181667695775402452 absolute error = 8.3723040442635885377808160801846e-21 relative error = 1.1975345183242130097627280954251e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.779 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.219 y[1] (analytic) = 0.069949827087524930992746832479467 y[1] (numeric) = 0.069949827087524930984326723681357 absolute error = 8.4201087981107981383010489961978e-21 relative error = 1.2037354699354884386402440270873e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.778 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.22 y[1] (analytic) = 0.069986842473614960387447159933932 y[1] (numeric) = 0.069986842473614960378979145134748 absolute error = 8.4680147991846417155147683271107e-21 relative error = 1.2099438265666983468796121576509e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.777 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.221 y[1] (analytic) = 0.070023887248657134408260689969169 y[1] (numeric) = 0.070023887248657134399744667680381 absolute error = 8.5160222887880972406251954733773e-21 relative error = 1.2161596025863889938590715714922e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.776 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.222 y[1] (analytic) = 0.070060961443771454417918118913629 y[1] (numeric) = 0.070060961443771454409353987404766 absolute error = 8.5641315088633102410155538875864e-21 relative error = 1.2223828123935454425012344905482e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.775 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.223 y[1] (analytic) = 0.070098065090119123950833497538051 y[1] (numeric) = 0.070098065090119123942221154836057 absolute error = 8.6123427019934566356509898667802e-21 relative error = 1.2286134704176641213744876002123e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.774 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.224 y[1] (analytic) = 0.07013519821890261419132433208848 y[1] (numeric) = 0.070135198218902614182663675977076 absolute error = 8.6606561114046114947917719734989e-21 relative error = 1.2348515911188255790436416815001e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.773 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.225 y[1] (analytic) = 0.07017236086136572957326433051182 y[1] (numeric) = 0.070172360861365729564555258530852 absolute error = 8.7090719809676237444341358056373e-21 relative error = 1.2410971889877674312302670656521e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.772 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.226 y[1] (analytic) = 0.070209553048793673501426236860633 y[1] (numeric) = 0.070209553048793673492668646305433 absolute error = 8.7575905551999968359709320478921e-21 relative error = 1.2473502785459575013449351894896e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.771 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.227 y[1] (analytic) = 0.070246774812513114194772811042006 y[1] (numeric) = 0.070246774812513114185966598962738 absolute error = 8.8062120792677754016403284852047e-21 relative error = 1.2536108743456671549553754372066e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.77 Order of pole = 1225 TOP MAIN SOLVE Loop memory used=61.0MB, alloc=4.4MB, time=9.16 x[1] = 2.228 y[1] (analytic) = 0.070284026183892250651954626881785 y[1] (numeric) = 0.070284026183892250643099690082797 absolute error = 8.8549367989874379164072122211393e-21 relative error = 1.2598789909700448287563515296697e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.769 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.229 y[1] (analytic) = 0.070321307194340878739273978915281 y[1] (numeric) = 0.070321307194340878730370213954453 absolute error = 8.9037649608277953869986380073197e-21 relative error = 1.2661546430331897546088629886345e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.768 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.23 y[1] (analytic) = 0.070358617875310457401374807393284 y[1] (numeric) = 0.070358617875310457392422110581372 absolute error = 8.9526968119118960888916736454324e-21 relative error = 1.2724378451802258792180846835517e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.767 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.231 y[1] (analytic) = 0.070395958258294174994919171712708 y[1] (numeric) = 0.070395958258294174985917439112689 absolute error = 9.0017326000189363721293051682655e-21 relative error = 1.2787286120873759800212711859438e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.766 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.232 y[1] (analytic) = 0.070433328374827015745511424849329 y[1] (numeric) = 0.070433328374827015736460552275743 absolute error = 9.0508725735861775569176842440272e-21 relative error = 1.2850269584620359778586726338427e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.765 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.233 y[1] (analytic) = 0.070470728256485826328131865390479 y[1] (numeric) = 0.070470728256485826319031748408768 absolute error = 9.1001169817108689400359292878943e-21 relative error = 1.2913328990428494470023350697878e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.764 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.234 y[1] (analytic) = 0.070508157934889382571342269443259 y[1] (numeric) = 0.070508157934889382562192803369107 absolute error = 9.1494660741521769331679314214181e-21 relative error = 1.2976464485997823231194907837471e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.763 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.235 y[1] (analytic) = 0.07054561744169845628552633203353 y[1] (numeric) = 0.070545617441698456276327411932197 absolute error = 9.1989201013331203543441680150339e-21 relative error = 1.3039676219341978097490830905091e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.762 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.236 y[1] (analytic) = 0.070583106808615882215428676617567 y[1] (numeric) = 0.070583106808615882206180197303225 absolute error = 9.2484793143425118937603914084340e-21 relative error = 1.3102964338789314838718152231570e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.002 Order of pole = 1.932e-58 TOP MAIN SOLVE Loop x[1] = 2.237 y[1] (analytic) = 0.070620626067386625117256722006637 y[1] (numeric) = 0.0706206260673866251079585780417 absolute error = 9.2981439649369057753192398609142e-21 relative error = 1.3166328992983666011559646538208e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.76 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.238 y[1] (analytic) = 0.070658175249797846960610328359846 y[1] (numeric) = 0.070658175249797846951262414054303 absolute error = 9.3479143055425516353203131779649e-21 relative error = 1.3229770330885096014630621837625e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.759 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.239 y[1] (analytic) = 0.070695754387678974255504777937212 y[1] (numeric) = 0.070695754387678974246106987347955 absolute error = 9.3977905892573546398040681363873e-21 relative error = 1.3293288501770658151993996008144e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.758 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.24 y[1] (analytic) = 0.070733363512901765504753282028067 y[1] (numeric) = 0.070733363512901765495305508958214 absolute error = 9.4477730698528418621350201391748e-21 relative error = 1.3356883655235153711012006071960e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.757 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.241 y[1] (analytic) = 0.070771002657380378781975842884411 y[1] (numeric) = 0.070771002657380378772477980882635 absolute error = 9.4978620017761349424901888305598e-21 relative error = 1.3420555941191893060431670988111e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.756 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.242 y[1] (analytic) = 0.070808671853071439435501938599818 y[1] (numeric) = 0.070808671853071439425953880959666 absolute error = 9.5480576401519290509994980543437e-21 relative error = 1.3484305509873458774619967524034e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.755 Order of pole = 1225 memory used=64.8MB, alloc=4.4MB, time=9.74 TOP MAIN SOLVE Loop x[1] = 2.243 y[1] (analytic) = 0.070846371131974107918435139686727 y[1] (numeric) = 0.070846371131974107908836779445943 absolute error = 9.5983602407844781763659359144649e-21 relative error = 1.3548132511832470789883582736353e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.754 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.244 y[1] (analytic) = 0.07088410052613014774514840862359 y[1] (numeric) = 0.07088410052613014773549963856343 absolute error = 9.6487700601595867618747001714623e-21 relative error = 1.3612037097942353598827076015811e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.753 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.245 y[1] (analytic) = 0.070921860067623993574479477873266 y[1] (numeric) = 0.07092186006762399356478019051782 absolute error = 9.6992873554466077107822991640452e-21 relative error = 1.3676019419398105488722318777052e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.752 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.246 y[1] (analytic) = 0.070959649788582819419896347820361 y[1] (numeric) = 0.07095964978858281941014643543586 absolute error = 9.7499123845004467831586502696357e-21 relative error = 1.3740079627717069829881180946325e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.751 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.247 y[1] (analytic) = 0.070997469721176606986903593742823 y[1] (numeric) = 0.070997469721176606977102948336959 absolute error = 9.8006454058635734063376180060449e-21 relative error = 1.3804217874739708420042600665370e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.75 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.248 y[1] (analytic) = 0.07103531989761821413796082032724 y[1] (numeric) = 0.071035319897618214128109333648472 absolute error = 9.8514866787680379212141636292440e-21 relative error = 1.3868434312630376890804407334734e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.749 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.249 y[1] (analytic) = 0.071073200350163443485185253362811 y[1] (numeric) = 0.071073200350163443475282816899673 absolute error = 9.9024364631374952867093389067147e-21 relative error = 1.3932729093878102182149568512681e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.748 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.25 y[1] (analytic) = 0.071111111111111111111111111111111 y[1] (numeric) = 0.071111111111111111101157616091522 absolute error = 9.9534950195892352648077500557099e-21 relative error = 1.3997102371297362091135898515842e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.747 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.251 y[1] (analytic) = 0.071149052212803115417779052452575 y[1] (numeric) = 0.071149052212803115407774389843139 absolute error = 1.0004662609436219108655845050944e-20 relative error = 1.4061554298028866900837701084686e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.746 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.252 y[1] (analytic) = 0.071187023687624506104429655261177 y[1] (numeric) = 0.071187023687624506094373715766488 absolute error = 1.0055939494689122776293440053218e-20 relative error = 1.4126085027540343095647320432135e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.745 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.253 y[1] (analytic) = 0.071225025568003553274075536561266 y[1] (numeric) = 0.071225025568003553263968210623207 absolute error = 1.0107325938058386692675300022230e-20 relative error = 1.4190694713627319169064144638981e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.744 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.254 y[1] (analytic) = 0.071263057886411816669227385880052 y[1] (numeric) = 0.071263057886411816659068563677095 absolute error = 1.0158822202956272082724326092707e-20 relative error = 1.4255383510413913530118242948512e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.743 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.255 y[1] (analytic) = 0.071301120675364215037049844830936 y[1] (numeric) = 0.071301120675364215026839416277437 absolute error = 1.0210428553498923898242979459128e-20 relative error = 1.4320151572353624514595524298876e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.742 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.256 y[1] (analytic) = 0.071339213967419095624223829352034 y[1] (numeric) = 0.071339213967419095613961684097526 absolute error = 1.0262145254508440361594989783089e-20 relative error = 1.4384999054230122507251078670409e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.741 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.257 y[1] (analytic) = 0.071377337795178303801792556185921 y[1] (numeric) = 0.071377337795178303791478583614406 absolute error = 1.0313972571514949149155156968074e-20 relative error = 1.4449926111158044181217205772541e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.74 Order of pole = 1225 memory used=68.6MB, alloc=4.4MB, time=10.33 TOP MAIN SOLVE Loop x[1] = 2.258 y[1] (analytic) = 0.071415492191287252820269202126125 y[1] (numeric) = 0.071415492191287252809903291355366 absolute error = 1.0365910770758690237611160004778e-20 relative error = 1.4514932898583788860832547508114e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.739 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.259 y[1] (analytic) = 0.071453677188434993695284793278438 y[1] (numeric) = 0.071453677188434993684866833159246 absolute error = 1.0417960119192105436287736948641e-20 relative error = 1.4580019572286317014138721790293e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.738 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.26 y[1] (analytic) = 0.071491892819354285224055592095856 y[1] (numeric) = 0.071491892819354285213585471211374 absolute error = 1.0470120884481934628750397429038e-20 relative error = 1.4645186288377950881310905907842e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.737 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.261 y[1] (analytic) = 0.071530139116821664132949922250315 y[1] (numeric) = 0.071530139116821664122427528915304 absolute error = 1.0522393335011318747032974892554e-20 relative error = 1.4710433203305177245308937998786e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.736 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.262 y[1] (analytic) = 0.071568416113657515356435045507493 y[1] (numeric) = 0.071568416113657515345860267767611 absolute error = 1.0574777739881909501920821543564e-20 relative error = 1.4775760473849452351055695561575e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.735 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.263 y[1] (analytic) = 0.071606723842726142447685380678172 y[1] (numeric) = 0.071606723842726142437058106309256 absolute error = 1.0627274368915985892809296163406e-20 relative error = 1.4841168257128008979469770569302e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.734 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.264 y[1] (analytic) = 0.071645062336935838121134032436299 y[1] (numeric) = 0.07164506233693583811045414894364 absolute error = 1.0679883492658577520745395170995e-20 relative error = 1.4906656710594665682699791919661e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.733 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.265 y[1] (analytic) = 0.071683431629238954927250277325276 y[1] (numeric) = 0.071683431629238954916517671942897 absolute error = 1.0732605382379594728348931946027e-20 relative error = 1.4972225992040638186928147915676e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.732 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.266 y[1] (analytic) = 0.071721831752631976059826335625467 y[1] (numeric) = 0.071721831752631976049040895315391 absolute error = 1.0785440310075965590398580090848e-20 relative error = 1.5037876259595352969132334495316e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.731 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.267 y[1] (analytic) = 0.071760262740155586296057440932872 y[1] (numeric) = 0.071760262740155586285219052384398 absolute error = 1.0838388548473779778957364485662e-20 relative error = 1.5103607671727263014212699278604e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.73 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.268 y[1] (analytic) = 0.07179872462489474306969990430666 y[1] (numeric) = 0.071798724624894743058808453935629 absolute error = 1.0891450371030439327001811227902e-20 relative error = 1.5169420387244665758915967446344e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.729 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.269 y[1] (analytic) = 0.071837217439978747677592556687287 y[1] (numeric) = 0.07183721743997874766664793063535 absolute error = 1.0944626051936816314608955381228e-20 relative error = 1.5235314565296523229004623273958e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.728 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.27 y[1] (analytic) = 0.071875741218581316619827641972558 y[1] (numeric) = 0.071875741218581316608829726106438 absolute error = 1.0997915866119417501845755440616e-20 relative error = 1.5301290365373284376142981086974e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.727 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.271 y[1] (analytic) = 0.071914295993920653073857923671748 y[1] (numeric) = 0.071914295993920653062806603582506 absolute error = 1.1051320089242555932596177102434e-20 relative error = 1.5367347947307709620991611752345e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.726 Order of pole = 1225 TOP MAIN SOLVE Loop memory used=72.4MB, alloc=4.4MB, time=10.91 x[1] = 2.272 y[1] (analytic) = 0.071952881799259518502827460443184 y[1] (numeric) = 0.071952881799259518491722621445473 absolute error = 1.1104838997710529533652287874315e-20 relative error = 1.5433487471275697609022695844063e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.725 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.273 y[1] (analytic) = 0.071991498667905304398414200063943 y[1] (numeric) = 0.071991498667905304387255727195273 absolute error = 1.1158472868669806733487149838278e-20 relative error = 1.5499709097797114185589852595594e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.724 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.274 y[1] (analytic) = 0.072030146633210104158473237487139 y[1] (numeric) = 0.072030146633210104147261015507128 absolute error = 1.1212221980011219125219112068273e-20 relative error = 1.5566012987736623596807044949635e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.723 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.275 y[1] (analytic) = 0.07206882572857078509977028061799 y[1] (numeric) = 0.072068825728570785088504194007618 absolute error = 1.1266086610372161198369288383790e-20 relative error = 1.5632399302304521922812285713032e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.722 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.276 y[1] (analytic) = 0.072107535987429060606095567290176 y[1] (numeric) = 0.072107535987429060594775500251037 absolute error = 1.1320067039138797164106561885095e-20 relative error = 1.5698868203057572750013068297739e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.721 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.277 y[1] (analytic) = 0.072146277443271562412049178654312 y[1] (numeric) = 0.072146277443271562400675015107863 absolute error = 1.1374163546448274898767386661263e-20 relative error = 1.5765419851899845088931718054999e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.72 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.278 y[1] (analytic) = 0.072185050129629913022789397806325 y[1] (numeric) = 0.072185050129629913011361021393134 absolute error = 1.1428376413190947030530960794721e-20 relative error = 1.5832054411083553544290207068213e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.719 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.279 y[1] (analytic) = 0.072223854080080798270036467990641 y[1] (numeric) = 0.072223854080080798258553762069628 absolute error = 1.1482705921012599194224024918358e-20 relative error = 1.5898772043209900743995396739962e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.718 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.28 y[1] (analytic) = 0.072262689328246040004624812117008 y[1] (numeric) = 0.072262689328246039993087659764691 absolute error = 1.1537152352316685479323598733446e-20 relative error = 1.5965572911229922033707168871293e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.717 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.281 y[1] (analytic) = 0.0723015559077926689258974846361 y[1] (numeric) = 0.072301555907792668914305768645834 absolute error = 1.1591715990266571096320405696158e-20 relative error = 1.6032457178445332443693477468773e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.716 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.282 y[1] (analytic) = 0.072340453852432997548237338033341 y[1] (numeric) = 0.072340453852432997536590940914553 absolute error = 1.1646397118787782286700555162396e-20 relative error = 1.6099425008509375934698000510071e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.715 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.283 y[1] (analytic) = 0.072379383195924693305030099328399 y[1] (numeric) = 0.072379383195924693293328903305829 absolute error = 1.1701196022570263501898253287388e-20 relative error = 1.6166476565427676929567793636310e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.714 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.284 y[1] (analytic) = 0.072418343972070851790355267015124 y[1] (numeric) = 0.072418343972070851778599154028054 absolute error = 1.1756112987070641876667900557965e-20 relative error = 1.6233612013559094137410146504715e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.713 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.285 y[1] (analytic) = 0.072457336214720070138701455849028 y[1] (numeric) = 0.072457336214720070126890307550513 absolute error = 1.1811148298514499022419906649290e-20 relative error = 1.6300831517616576677069717614585e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.712 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.286 y[1] (analytic) = 0.072496359957766520543003535792468 y[1] (numeric) = 0.072496359957766520531137233548569 absolute error = 1.1866302243898650166160914009022e-20 relative error = 1.6368135242668022506738975101399e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.711 Order of pole = 1225 TOP MAIN SOLVE Loop memory used=76.2MB, alloc=4.4MB, time=11.48 x[1] = 2.287 y[1] (analytic) = 0.072535415235150023911299632267205 y[1] (numeric) = 0.072535415235150023899378057156212 absolute error = 1.1921575110993430660775871853334e-20 relative error = 1.6435523354137139166536999566677e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.71 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.288 y[1] (analytic) = 0.07257450208085612366230677764566 y[1] (numeric) = 0.072574502080856123650329810457315 absolute error = 1.1976967188344989892486543791220e-20 relative error = 1.6502996017804306840913810765277e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.709 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.289 y[1] (analytic) = 0.072613620528916159660214728641811 y[1] (numeric) = 0.072613620528916159648182249876533 absolute error = 1.2032478765277592611418566764272e-20 relative error = 1.6570553399807443747759563198407e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.708 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.29 y[1] (analytic) = 0.072652770613407342288998190946012 y[1] (numeric) = 0.072652770613407342276910080814116 absolute error = 1.2088110131895927711307108094428e-20 relative error = 1.6638195666642873861120216652251e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.707 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.291 y[1] (analytic) = 0.072691952368452826666548421090814 y[1] (numeric) = 0.072691952368452826654404559511727 absolute error = 1.2143861579087424484469492875746e-20 relative error = 1.6705922985166196974443626772341e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.706 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.292 y[1] (analytic) = 0.072731165828221786998925906143049 y[1] (numeric) = 0.072731165828221786986726172744524 absolute error = 1.2199733398524576378271897439476e-20 relative error = 1.6773735522593161111302418167629e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.705 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.293 y[1] (analytic) = 0.072770411026929491075036554396719 y[1] (numeric) = 0.072770411026929491062780828514052 absolute error = 1.2255725882667272279416327883937e-20 relative error = 1.6841633446500537290562498591555e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.704 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.294 y[1] (analytic) = 0.072809687998837374902034564797564 y[1] (numeric) = 0.072809687998837374889722725472799 absolute error = 1.2311839324765135352473627419092e-20 relative error = 1.6909616924826996652988647747537e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.703 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.295 y[1] (analytic) = 0.072848996778253117481755879369346 y[1] (numeric) = 0.072848996778253117469387805350486 absolute error = 1.2368074018859869459188184265506e-20 relative error = 1.6977686125873989956301268511721e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.702 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.296 y[1] (analytic) = 0.072888337399530715728486861439854 y[1] (numeric) = 0.072888337399530715716062431180066 absolute error = 1.2424430259787613185180344811493e-20 relative error = 1.7045841218306629445721122156127e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.701 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.297 y[1] (analytic) = 0.072927709897070559528373582987249 y[1] (numeric) = 0.072927709897070559515892674644068 absolute error = 1.2480908343181301500773276422044e-20 relative error = 1.7114082371154573107061682791383e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.7 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.298 y[1] (analytic) = 0.072967114305319506940777846950602 y[1] (numeric) = 0.072967114305319506928240338385129 absolute error = 1.2537508565473035082772172467527e-20 relative error = 1.7182409753812911309451640032165e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.699 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.299 y[1] (analytic) = 0.073006550658770959541886814878239 y[1] (numeric) = 0.073006550658770959529292583654342 absolute error = 1.2594231223896457324125250566554e-20 relative error = 1.7250823536043055844793053123556e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.698 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.3 y[1] (analytic) = 0.073046018991964937910883856829803 y[1] (numeric) = 0.073046018991964937898232780213314 absolute error = 1.2651076616489139058497965491132e-20 relative error = 1.7319323887973631371083714757360e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.697 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.301 y[1] (analytic) = 0.073085519339488157258988989008742 y[1] (numeric) = 0.073085519339488157246280943966647 absolute error = 1.2708045042094971026894242446795e-20 relative error = 1.7387910980101369266755418859676e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.696 Order of pole = 1225 TOP MAIN SOLVE Loop memory used=80.1MB, alloc=4.4MB, time=12.06 x[1] = 2.302 y[1] (analytic) = 0.073125051735974103201678015187196 y[1] (numeric) = 0.073125051735974103188912878386829 absolute error = 1.2765136800366564113561336307590e-20 relative error = 1.7456584983292003903203044051890e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.695 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.303 y[1] (analytic) = 0.073164616216103107674390240601109 y[1] (numeric) = 0.073164616216103107661567888409341 absolute error = 1.2822352191767657378518139655613e-20 relative error = 1.7525346068781171342702663584824e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.694 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.304 y[1] (analytic) = 0.073204212814602424992035381645771 y[1] (numeric) = 0.073204212814602424979155690128196 absolute error = 1.2879691517575533914150398955387e-20 relative error = 1.7594194408175310468940273629655e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.693 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.305 y[1] (analytic) = 0.073243841566246308052611051397035 y[1] (numeric) = 0.073243841566246308039673896317151 absolute error = 1.2937155079883444553420355701552e-20 relative error = 1.7663130173452566557396195190218e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.692 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.306 y[1] (analytic) = 0.073283502505856084685242959727198 y[1] (numeric) = 0.073283502505856084672248216545595 absolute error = 1.2994743181603039457342809738839e-20 relative error = 1.7732153536963697292853750891345e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.691 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.307 y[1] (analytic) = 0.073323195668300234142960727583138 y[1] (numeric) = 0.073323195668300234129908271456671 absolute error = 1.3052456126466807609484506999693e-20 relative error = 1.7801264671432981241324446810405e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.69 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.308 y[1] (analytic) = 0.073362921088494463740522977853788 y[1] (numeric) = 0.073362921088494463727412683634758 absolute error = 1.3110294219030524245349085478862e-20 relative error = 1.7870463749959128783705601668674e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.689 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.309 y[1] (analytic) = 0.073402678801401785637606130180678 y[1] (numeric) = 0.073402678801401785624437872416003 absolute error = 1.3168257764675706244615573216199e-20 relative error = 1.7939750946016195518510161401499e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.688 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.31 y[1] (analytic) = 0.073442468842032593767672094065114 y[1] (numeric) = 0.073442468842032593754445746995502 absolute error = 1.3226347069612075514304622247595e-20 relative error = 1.8009126433454498141032316698547e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.687 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.311 y[1] (analytic) = 0.073482291245444740912830823704887 y[1] (numeric) = 0.073482291245444740899546261264007 absolute error = 1.3284562440880030391053284776853e-20 relative error = 1.8078590386501532806336504866175e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.686 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.312 y[1] (analytic) = 0.073522146046743615925014469158342 y[1] (numeric) = 0.073522146046743615911671564971989 absolute error = 1.3342904186353125090786194094387e-20 relative error = 1.8148142979762895983481425632853e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.685 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.313 y[1] (analytic) = 0.073562033281082221093780631690421 y[1] (numeric) = 0.07356203328108222108037925907568 absolute error = 1.3401372614740557234178504906604e-20 relative error = 1.8217784388223207808414833616672e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.684 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.314 y[1] (analytic) = 0.07360195298366124966106300651024 y[1] (numeric) = 0.07360195298366124964760303847465 absolute error = 1.3459968035589663476413877636124e-20 relative error = 1.8287514787247037942999088423546e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.683 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.315 y[1] (analytic) = 0.073641905189729163483188473569 y[1] (numeric) = 0.073641905189729163469669782809711 absolute error = 1.3518690759288423269849160809621e-20 relative error = 1.8357334352579833947651747069502e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.682 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.316 y[1] (analytic) = 0.073681889934582270840480476656988 y[1] (numeric) = 0.07368188993458227082690293555992 absolute error = 1.3577541097067970788306236778059e-20 relative error = 1.8427243260348852175109872945372e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.681 Order of pole = 1225 memory used=83.9MB, alloc=4.4MB, time=12.64 TOP MAIN SOLVE Loop x[1] = 2.317 y[1] (analytic) = 0.073721907253564804394769312725308 y[1] (numeric) = 0.073721907253564804381132793364303 absolute error = 1.3636519361005115041820750633129e-20 relative error = 1.8497241687064091192851211193482e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.68 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.318 y[1] (analytic) = 0.073761957182068999295130737168149 y[1] (numeric) = 0.073761957182068999281435111304124 absolute error = 1.3695625864024868210787142222333e-20 relative error = 1.8567329809619227741729942471380e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.679 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.319 y[1] (analytic) = 0.073802039755535171432175076741206 y[1] (numeric) = 0.073802039755535171418420215821303 absolute error = 1.3754860919902982228549548561016e-20 relative error = 1.8637507805292555238409375965967e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.678 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.32 y[1] (analytic) = 0.073842155009451795841209829867675 y[1] (numeric) = 0.073842155009451795827395605024406 absolute error = 1.3814224843268493641598740639117e-20 relative error = 1.8707775851747924829198678523118e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.677 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.321 y[1] (analytic) = 0.073882302979355585254599524301404 y[1] (numeric) = 0.073882302979355585240725806351798 absolute error = 1.3873717949606276776646306578985e-20 relative error = 1.8778134127035689002925560204514e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.676 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.322 y[1] (analytic) = 0.073922483700831568803647394483786 y[1] (numeric) = 0.073922483700831568789714053928526 absolute error = 1.3933340555259605243958794282863e-20 relative error = 1.8848582809593647770501747807957e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.675 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.323 y[1] (analytic) = 0.073962697209513170870324235453146 y[1] (numeric) = 0.073962697209513170856331142475713 absolute error = 1.3993092977432721806446483088090e-20 relative error = 1.8919122078247997418863077224391e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.674 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.324 y[1] (analytic) = 0.074002943541082290089170586849263 y[1] (numeric) = 0.074002943541082290075117611315069 absolute error = 1.4052975534193416644113867507567e-20 relative error = 1.8989752112214281846991123289693e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.673 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.325 y[1] (analytic) = 0.074043222731269378499699199407654 y[1] (numeric) = 0.074043222731269378485586210863179 absolute error = 1.4112988544475614043591808864387e-20 relative error = 1.9060473091098346491748462359409e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.672 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.326 y[1] (analytic) = 0.07408353481585352084962553736492 y[1] (numeric) = 0.074083534815853520835452405036838 absolute error = 1.4173132328081967542584644534008e-20 relative error = 1.9131285194897294851284928528194e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.671 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.327 y[1] (analytic) = 0.074123879830662514049254873404196 y[1] (numeric) = 0.07412387983066251403502146619851 absolute error = 1.4233407205686463559179341595243e-20 relative error = 1.9202188604000447613797579572818e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.67 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.328 y[1] (analytic) = 0.074164257811572946777355338165283 y[1] (numeric) = 0.074164257811572946763061524666446 absolute error = 1.4293813498837033536078043982494e-20 relative error = 1.9273183499190304399452533659365e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.669 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.329 y[1] (analytic) = 0.074204668794510279238847093933687 y[1] (numeric) = 0.074204668794510279224492742403729 absolute error = 1.4354351529958174629930091755066e-20 relative error = 1.9344270061643508123302372964339e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.668 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.33 y[1] (analytic) = 0.074245112815448923074638611913371 y[1] (numeric) = 0.074245112815448923060223590291017 absolute error = 1.4415021622353578976054789893646e-20 relative error = 1.9415448472931811987058435959853e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.667 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.331 y[1] (analytic) = 0.07428558991041232142394184448594 y[1] (numeric) = 0.074285589910412321409466020385732 absolute error = 1.4475824100208771558961874146959e-20 relative error = 1.9486718915023049107603036550361e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.666 Order of pole = 1225 memory used=87.7MB, alloc=4.4MB, time=13.22 TOP MAIN SOLVE Loop x[1] = 2.332 y[1] (analytic) = 0.07432610011547302913939889807097 y[1] (numeric) = 0.074326100115473029124862138782376 absolute error = 1.4536759288593756719192764940807e-20 relative error = 1.9558081570282104790152455869296e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.665 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.333 y[1] (analytic) = 0.074366643466752793155353628634846 y[1] (numeric) = 0.074366643466752793140755801121381 absolute error = 1.4597827513465673327122319294008e-20 relative error = 1.9629536621471891454007451696909e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.664 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.334 y[1] (analytic) = 0.074407220000422633009602400555495 y[1] (numeric) = 0.074407220000422632994943371453823 absolute error = 1.4659029101671458654477887137861e-20 relative error = 1.9701084251754326218854021495096e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.663 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.335 y[1] (analytic) = 0.074447829752702921518959070444398 y[1] (numeric) = 0.074447829752702921504238706063447 absolute error = 1.4720364380950520974450054493848e-20 relative error = 1.9772724644691311159603238322362e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.662 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.336 y[1] (analytic) = 0.074488472759863465608970080662077 y[1] (numeric) = 0.07448847275986346559418824698214 absolute error = 1.4781833679937420921387513724296e-20 relative error = 1.9844457984245716237785154744725e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.661 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.337 y[1] (analytic) = 0.074529149058223587298116372645447 y[1] (numeric) = 0.074529149058223587283272935317283 absolute error = 1.4843437328164561641187042638238e-20 relative error = 1.9916284454782364917538038650450e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.66 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.338 y[1] (analytic) = 0.074569858684152204836839657801901 y[1] (numeric) = 0.074569858684152204821934482145836 absolute error = 1.4905175656064887763608601725229e-20 relative error = 1.9988204241069022474260566963415e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.659 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.339 y[1] (analytic) = 0.074610601674067914001731413622448 y[1] (numeric) = 0.074610601674067913986764364627474 absolute error = 1.4967048994974593227865074328634e-20 relative error = 2.0060217528277387004021058988581e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.658 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.34 y[1] (analytic) = 0.074651378064439069545223804831437 y[1] (numeric) = 0.074651378064439069530194747154301 absolute error = 1.5029057677135837992956180291983e-20 relative error = 2.0132324501984083141844380871929e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.657 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.341 y[1] (analytic) = 0.074692187891783866801122563830263 y[1] (numeric) = 0.074692187891783866786031361794564 absolute error = 1.5091202035699473664336591662563e-20 relative error = 2.0204525348171658497023796776065e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.656 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.342 y[1] (analytic) = 0.07473303119267042344632270141374 y[1] (numeric) = 0.074733031192670423431169219009012 absolute error = 1.5153482404727778068629271570390e-20 relative error = 2.0276820253229582813631781222961e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.655 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.343 y[1] (analytic) = 0.074773908003716861419048757747418 y[1] (numeric) = 0.074773908003716861403832858628221 absolute error = 1.5215899119197198808216546583306e-20 relative error = 2.0349209403955249864430640999728e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.654 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.344 y[1] (analytic) = 0.074814818361591388993962144898946 y[1] (numeric) = 0.074814818361591388978683692383945 absolute error = 1.5278452515001105827663410845110e-20 relative error = 2.0421692987554982086410724426179e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.653 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.345 y[1] (analytic) = 0.07485576230301238301447897582346 y[1] (numeric) = 0.074855762303012382999137832894508 absolute error = 1.5341142928952553024050049318868e-20 relative error = 2.0494271191645037966211021010199e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.652 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.346 y[1] (analytic) = 0.074896739864748471282642620618953 y[1] (numeric) = 0.074896739864748471267238649920166 absolute error = 1.5403970698787048933413559677034e-20 relative error = 2.0566944204252622183704075935680e-17 % Correct digits = 18 h = 0.001 memory used=91.5MB, alloc=4.4MB, time=13.80 Real estimate of pole used for equation 1 Radius of convergence = 3.651 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.347 y[1] (analytic) = 0.074937751083618615106896079099494 y[1] (numeric) = 0.074937751083618615091429142936329 absolute error = 1.5466936163165336525622350009673e-20 relative error = 2.0639712213816898522054361807023e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.65 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.348 y[1] (analytic) = 0.074978795996492192008100109289093 y[1] (numeric) = 0.074978795996492191992570069627417 absolute error = 1.5530039661676182140130694777612e-20 relative error = 2.0712575409190005552586564984127e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.649 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.349 y[1] (analytic) = 0.075019874640289078584143904323853 y[1] (numeric) = 0.075019874640289078568550622789014 absolute error = 1.5593281534839173595185446545208e-20 relative error = 2.0785533979638075102827656054376e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.648 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.35 y[1] (analytic) = 0.075060987051979733533495965471946 y[1] (numeric) = 0.075060987051979733517839303347838 absolute error = 1.5656662124107527503181928224121e-20 relative error = 2.0858588114842253516114123876585e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.647 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.351 y[1] (analytic) = 0.075102133268585280838043676546828 y[1] (numeric) = 0.075102133268585280822323494774957 absolute error = 1.5720181771870905824991572092199e-20 relative error = 2.0931738004899725711183360571361e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.646 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.352 y[1] (analytic) = 0.075143313327177593105570944906125 y[1] (numeric) = 0.075143313327177593089787104084667 absolute error = 1.5783840821458241696209929977734e-20 relative error = 2.1004983840324742050195891199041e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.645 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.353 y[1] (analytic) = 0.075184527264879375072224136503825 y[1] (numeric) = 0.075184527264879375056376496886684 absolute error = 1.5847639617140574558400255987163e-20 relative error = 2.1078325812049648023662947038516e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.644 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.354 y[1] (analytic) = 0.075225775118864247265317397103928 y[1] (numeric) = 0.075225775118864247249405818599794 absolute error = 1.5911578504133894628534961282298e-20 relative error = 2.1151764111425916760781785737335e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.643 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.355 y[1] (analytic) = 0.075267056926356829826829318776685 y[1] (numeric) = 0.075267056926356829810853660948083 absolute error = 1.5975657828601996739964861970772e-20 relative error = 2.1225298930225184373709165526523e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.642 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.356 y[1] (analytic) = 0.075308372724632826497943780191127 y[1] (numeric) = 0.075308372724632826481903902253467 absolute error = 1.6039877937659343588374288460497e-20 relative error = 2.1298930460640288144331484565479e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.641 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.357 y[1] (analytic) = 0.075349722551019108764988660997002 y[1] (numeric) = 0.075349722551019108748884421817628 absolute error = 1.6104239179373938416308799956306e-20 relative error = 2.1372658895286307562118300687131e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.64 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.358 y[1] (analytic) = 0.075391106442893800167127004762607 y[1] (numeric) = 0.075391106442893800150958262859837 absolute error = 1.6168741902770207169991453466143e-20 relative error = 2.1446484427201608221674251737329e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.639 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.359 y[1] (analytic) = 0.07543252443768636076615608150967 y[1] (numeric) = 0.075432524437686360749922695051838 absolute error = 1.6233386457831890162273315067469e-20 relative error = 2.1520407249848888588632802732495e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.638 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.36 y[1] (analytic) = 0.075473976572877671778770679869581 y[1] (numeric) = 0.075473976572877671762472506674076 absolute error = 1.6298173195504943275694174605304e-20 relative error = 2.1594427557116229642563753585044e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.637 Order of pole = 1225 TOP MAIN SOLVE Loop memory used=95.3MB, alloc=4.5MB, time=14.39 x[1] = 2.361 y[1] (analytic) = 0.075515462886000120371647840284192 y[1] (numeric) = 0.075515462886000120355284737816491 absolute error = 1.6363102467700448739760235805719e-20 relative error = 2.1668545543318147405595050557503e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.636 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.362 y[1] (analytic) = 0.07555698341463768461971112449645 y[1] (numeric) = 0.075556983414637684603282949869153 absolute error = 1.6428174627297535516676904357884e-20 relative error = 2.1742761403196648365478156296039e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.635 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.363 y[1] (analytic) = 0.07559853819642601862793340282855 y[1] (numeric) = 0.075598538196426018611440012800403 absolute error = 1.6493390028146309329906689220219e-20 relative error = 2.1817075331922287801855047655985e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.634 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.364 y[1] (analytic) = 0.075640127269052537817038029435507 y[1] (numeric) = 0.075640127269052537800479280410436 absolute error = 1.6558749025070792370054669629268e-20 relative error = 2.1891487525095231024513827961506e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.633 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.365 y[1] (analytic) = 0.075681750670256504373459166857448 y[1] (numeric) = 0.075681750670256504356834914883576 absolute error = 1.6624251973871872712716964432153e-20 relative error = 2.1965998178746317532448961235904e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.632 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.366 y[1] (analytic) = 0.075723408437829112863922914781785 y[1] (numeric) = 0.075723408437829112847233015550455 absolute error = 1.6689899231330263483061173834736e-20 relative error = 2.2040607489338128102571260696987e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.631 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.367 y[1] (analytic) = 0.075765100609613576015011793974386 y[1] (numeric) = 0.075765100609613575998256102819177 absolute error = 1.6755691155209471802041848878957e-20 relative error = 2.2115315653766054816941992833836e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.63 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.368 y[1] (analytic) = 0.07580682722350521065807603485416 y[1] (numeric) = 0.075806827223505210641254406749901 absolute error = 1.6821628104258777549288683366787e-20 relative error = 2.2190122869359374037434792069303e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.629 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.369 y[1] (analytic) = 0.075848588317451523839856021175712 y[1] (numeric) = 0.075848588317451523822968310737496 absolute error = 1.6887710438216221977840318978495e-20 relative error = 2.2265029333882322336758519770384e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.628 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.37 y[1] (analytic) = 0.075890383929452299099181142757401 y[1] (numeric) = 0.07589038392945229908222720423959 absolute error = 1.6953938517811606216032409445037e-20 relative error = 2.2340035245535175394803745601631e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.627 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.371 y[1] (analytic) = 0.075932214097559682910111217154667 y[1] (numeric) = 0.075932214097559682893090904449897 absolute error = 1.7020312704769499691984906294808e-20 relative error = 2.2415140802955329869305179332127e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.626 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.372 y[1] (analytic) = 0.075974078859878271291887548638605 y[1] (numeric) = 0.075974078859878271274800715276793 absolute error = 1.7086833361812258516270409382476e-20 relative error = 2.2490346205218388249842137612936e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.625 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.373 y[1] (analytic) = 0.076015978254565196586061603804873 y[1] (numeric) = 0.07601597825456519656890810295221 absolute error = 1.7153500852663053858482872611848e-20 relative error = 2.2565651651839246704228993349943e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.624 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.374 y[1] (analytic) = 0.076057912319830214401170196615788 y[1] (numeric) = 0.076057912319830214383949881073739 absolute error = 1.7220315542048910353563971487569e-20 relative error = 2.2641057342773185926377525518609e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.623 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.375 y[1] (analytic) = 0.076099881093935790725326991676576 y[1] (numeric) = 0.076099881093935790708039713880872 absolute error = 1.7287277795703754573883026885272e-20 relative error = 2.2716563478416964994743165016428e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.622 Order of pole = 1225 TOP MAIN SOLVE Loop memory used=99.1MB, alloc=4.5MB, time=14.96 x[1] = 2.376 y[1] (analytic) = 0.076141884615197189207101053072721 y[1] (numeric) = 0.07614188461519718918974666509235 absolute error = 1.7354387980371473603205541241809e-20 relative error = 2.2792170259609918250497317841219e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.621 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.377 y[1] (analytic) = 0.076183922921982558605054087156998 y[1] (numeric) = 0.076183922921982558587632440693189 absolute error = 1.7421646463808983748825141773485e-20 relative error = 2.2867877887635055204598240936206e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.62 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.378 y[1] (analytic) = 0.076225996052713020406308951279697 y[1] (numeric) = 0.076225996052713020388819897664908 absolute error = 1.7489053614789309428274042879814e-20 relative error = 2.2943686564220163482963348875131e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.619 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.379 y[1] (analytic) = 0.076268104045862756614522926611551 y[1] (numeric) = 0.076268104045862756596966316808446 absolute error = 1.7556609803104672267168039144121e-20 relative error = 2.3019596491538914818976341593166e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.618 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.38 y[1] (analytic) = 0.076310246939959097707640181923629 y[1] (numeric) = 0.076310246939959097690015866524059 absolute error = 1.7624315399569590444883523873421e-20 relative error = 2.3095607872211974102593165024686e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.617 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.381 y[1] (analytic) = 0.076352424773582610765798786469831 y[1] (numeric) = 0.076352424773582610748106615693807 absolute error = 1.7692170776023988324906098513448e-20 relative error = 2.3171720909308111495341548211248e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.616 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.382 y[1] (analytic) = 0.076394637585367187769768563973328 y[1] (numeric) = 0.076394637585367187752008387667992 absolute error = 1.7760176305336316406832998127785e-20 relative error = 2.3247935806345317620539702618485e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.615 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.383 y[1] (analytic) = 0.076436885414000134070297016156235 y[1] (numeric) = 0.076436885414000134052468683794828 absolute error = 1.7828332361406681637154810052236e-20 relative error = 2.3324252767291921838090722476748e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.6051 Order of pole = 6.96e-60 TOP MAIN SOLVE Loop x[1] = 2.384 y[1] (analytic) = 0.076479168298222257028741483279818 y[1] (numeric) = 0.076479168298222257010844843960648 absolute error = 1.7896639319169988116085809448584e-20 relative error = 2.3400671996567713613240289366935e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.613 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.385 y[1] (analytic) = 0.076521486276827954829366650788458 y[1] (numeric) = 0.076521486276827954811401553233859 absolute error = 1.7965097554599088237856679419899e-20 relative error = 2.3477193699045066988716460441212e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.612 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.386 y[1] (analytic) = 0.076563839388665305463687455382423 y[1] (numeric) = 0.076563839388665305445653747937715 absolute error = 1.8033707444707944302028427258943e-20 relative error = 2.3553818080050068169701608031535e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.611 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.387 y[1] (analytic) = 0.076606227672636155887238390690076 y[1] (numeric) = 0.076606227672636155869135921322521 absolute error = 1.8102469367554800633531954941043e-20 relative error = 2.3630545345363646231117979391879e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.521 Order of pole = 8.694e-59 TOP MAIN SOLVE Loop x[1] = 2.388 y[1] (analytic) = 0.076648651167696211349151162177508 y[1] (numeric) = 0.076648651167696211330979778475263 absolute error = 1.8171383702245366249283993814496e-20 relative error = 2.3707375701222706956739859379654e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.609 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.389 y[1] (analytic) = 0.076691109912855124894923593030649 y[1] (numeric) = 0.076691109912855124876683142201713 absolute error = 1.8240450828936008109376973269156e-20 relative error = 2.3784309354321269819676946446495e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.608 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.39 y[1] (analytic) = 0.076733603947176587042763637479762 y[1] (numeric) = 0.076733603947176587024453966350925 absolute error = 1.8309671128836954990987863674167e-20 relative error = 2.3861346511811608113805293818811e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.607 Order of pole = 1225 TOP MAIN SOLVE Loop memory used=103.0MB, alloc=4.5MB, time=15.54 x[1] = 2.391 y[1] (analytic) = 0.076776133309778415633893315416855 y[1] (numeric) = 0.076776133309778415615514270432639 absolute error = 1.8379044984215512023299117778078e-20 relative error = 2.3938487381305392245754023646445e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.606 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.392 y[1] (analytic) = 0.076818698039832645857198342191041 y[1] (numeric) = 0.076818698039832645838749769412642 absolute error = 1.8448572778399285921873534781275e-20 relative error = 2.4015732170874836197087992627495e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.7369 Order of pole = 5.885e-59 TOP MAIN SOLVE Loop x[1] = 2.393 y[1] (analytic) = 0.076861298176565620448610190163306 y[1] (numeric) = 0.076861298176565620430091935267527 absolute error = 1.8518254895779420961074190156508e-20 relative error = 2.4093081089053847166358673624755e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.604 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.394 y[1] (analytic) = 0.076903933759258080065608283968698 y[1] (numeric) = 0.076903933759258080047020192246884 absolute error = 1.8588091721813845723270514756572e-20 relative error = 2.4170534344839178400727719522119e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.603 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.395 y[1] (analytic) = 0.076946604827245253837230999478687 y[1] (numeric) = 0.076946604827245253818572915835656 absolute error = 1.8658083643030530663722171569493e-20 relative error = 2.4248092147691585226899993477142e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.602 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.396 y[1] (analytic) = 0.076989311419916950089985107187599 y[1] (numeric) = 0.076989311419916950071256876140568 absolute error = 1.8728231047030756530183570435126e-20 relative error = 2.4325754707536984291135284260489e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.601 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.397 y[1] (analytic) = 0.077032053576717647250044274172793 y[1] (numeric) = 0.077032053576717647231245739850301 absolute error = 1.8798534322492393676423682909692e-20 relative error = 2.4403522234767616018140476987360e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.6 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.398 y[1] (analytic) = 0.077074831337146584922128214906827 y[1] (numeric) = 0.077074831337146584903259221047654 absolute error = 1.8868993859173192309008274056816e-20 relative error = 2.4481394940243210298676618695585e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.015 Order of pole = 1.187e-59 TOP MAIN SOLVE Loop x[1] = 2.399 y[1] (analytic) = 0.077117644740757855145455060039557 y[1] (numeric) = 0.077117644740757855126515449991643 absolute error = 1.8939610047914083706844758068492e-20 relative error = 2.4559373035292155415748105367051e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.598 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.4 y[1] (analytic) = 0.07716049382716049382716049382716 y[1] (numeric) = 0.077160493827160493808150110546518 absolute error = 1.9010383280642492453143613103767e-20 relative error = 2.4637456731712670219274122582481e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.597 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.401 y[1] (analytic) = 0.07720337863601857235357819517184 y[1] (numeric) = 0.077203378636018572334496881221464 absolute error = 1.9081313950375659719604660416977e-20 relative error = 2.4715646241773979559175496505368e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.596 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.402 y[1] (analytic) = 0.077246299207051289379777104258712 y[1] (numeric) = 0.077246299207051289360624701807488 absolute error = 1.9152402451223977642791526584575e-20 relative error = 2.4793941778217492986843255771937e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.595 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.403 y[1] (analytic) = 0.077289255580033062797752026543604 y[1] (numeric) = 0.077289255580033062778528377365209 absolute error = 1.9223649178394334832813268296936e-20 relative error = 2.4872343554257986734988468585250e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.594 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.404 y[1] (analytic) = 0.077332247794793621883665078365407 y[1] (numeric) = 0.077332247794793621864370023837213 absolute error = 1.9295054528193473054588449639745e-20 relative error = 2.4950851783584788985906303339667e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.593 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.405 y[1] (analytic) = 0.077375275891218099624536473737864 y[1] (numeric) = 0.077375275891218099605169854839833 absolute error = 1.9366618898031355122123924942646e-20 relative error = 2.5029466680362968438220765905687e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.592 Order of pole = 1225 memory used=106.8MB, alloc=4.5MB, time=16.12 TOP MAIN SOLVE Loop x[1] = 2.406 y[1] (analytic) = 0.077418339909247125224784149926499 y[1] (numeric) = 0.077418339909247125205345807240074 absolute error = 1.9438342686424544046398199028952e-20 relative error = 2.5108188459234526182210192755234e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.591 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.407 y[1] (analytic) = 0.077461439888876916793012730245416 y[1] (numeric) = 0.077461439888876916773502503952416 absolute error = 1.9510226292999593477597513980834e-20 relative error = 2.5187017335319590893847326876516e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.59 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.408 y[1] (analytic) = 0.077504575870159374209453326124374 y[1] (numeric) = 0.077504575870159374189871056005878 absolute error = 1.9582270118496449482611750275168e-20 relative error = 2.5265953524217617357721673390234e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.589 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.409 y[1] (analytic) = 0.077547747893202172174456686907404 y[1] (numeric) = 0.077547747893202172154802212342632 absolute error = 1.9654474564771863698856833295584e-20 relative error = 2.5344997242008588329045824411672e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.588 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.41 y[1] (analytic) = 0.077590955998168853438443215058853 y[1] (numeric) = 0.07759095599816885341871637502405 absolute error = 1.9726840034802817905650606749517e-20 relative error = 2.5424148705254219744981558484845e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.587 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.411 y[1] (analytic) = 0.077634200225278922213714376479756 y[1] (numeric) = 0.077634200225278922193915009547066 absolute error = 1.9799366932689960054530075392762e-20 relative error = 2.5503408130999169295555759325821e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.586 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.412 y[1] (analytic) = 0.077677480614807937768531050485391 y[1] (numeric) = 0.07767748061480793774865899482173 absolute error = 1.9872055663661051800059533679785e-20 relative error = 2.5582775736772248364470562135293e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.585 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.413 y[1] (analytic) = 0.077720797207087608203865381672457 y[1] (numeric) = 0.077720797207087608183920475038382 absolute error = 1.9944906634074427572841387521443e-20 relative error = 2.5662251740587637350146623860038e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.584 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.414 y[1] (analytic) = 0.077764150042505884413233716420274 y[1] (numeric) = 0.077764150042505884393215796168851 absolute error = 2.0017920251422465236604446263062e-20 relative error = 2.5741836360946104377373026985743e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.583 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.415 y[1] (analytic) = 0.077807539161507054226019230133304 y[1] (numeric) = 0.077807539161507054205928133208969 absolute error = 2.0091096924335068371408114329193e-20 relative error = 2.5821529816836227409972065218452e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.582 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.416 y[1] (analytic) = 0.07785096460459183673469387755102 y[1] (numeric) = 0.077850964604591836714529440488437 absolute error = 2.0164437062583160225165249765643e-20 relative error = 2.5901332327735619774922024249367e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.581 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.417 y[1] (analytic) = 0.077894426412317476806350327534379 y[1] (numeric) = 0.077894426412317476786112386457297 absolute error = 2.0237941077082189375851483207819e-20 relative error = 2.5981244113612159108416062190734e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.58 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.418 y[1] (analytic) = 0.077937924625297839778955575694715 y[1] (numeric) = 0.07793792462529783975864396631482 absolute error = 2.0311609379895647146934508694766e-20 relative error = 2.6061265394925219734370412713814e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.579 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.419 y[1] (analytic) = 0.077981459284203506342738963069618 y[1] (numeric) = 0.07798145928420350632235352068538 absolute error = 2.0385442384238596818723270322941e-20 relative error = 2.6141396392626908485930379910573e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.578 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.42 y[1] (analytic) = 0.078025030429761867607128366780063 y[1] (numeric) = 0.078025030429761867586668926275582 absolute error = 2.0459440504481214678504079099894e-20 relative error = 2.6221637328163303980557967937588e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.577 Order of pole = 1225 memory used=110.6MB, alloc=4.5MB, time=16.70 TOP MAIN SOLVE Loop x[1] = 2.421 y[1] (analytic) = 0.078068638102757220353649369232728 y[1] (numeric) = 0.078068638102757220333115765076576 absolute error = 2.0533604156152342952498505637419e-20 relative error = 2.6301988423475699359320491084956e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.576 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.422 y[1] (analytic) = 0.078112282344030862475203255969887 y[1] (numeric) = 0.078112282344030862454595322213944 absolute error = 2.0607933755943054662846409653192e-20 relative error = 2.6382449901001848501035141547857e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.575 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.423 y[1] (analytic) = 0.078155963194481188602140738725475 y[1] (numeric) = 0.078155963194481188581458309003765 absolute error = 2.0682429721710230452986689780998e-20 relative error = 2.6463021983677215721960253369289e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.574 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.424 y[1] (analytic) = 0.078199680695063785915549349628896 y[1] (numeric) = 0.078199680695063785894792257156415 absolute error = 2.0757092472480147424978270089036e-20 relative error = 2.6543704894936228971759892276609e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.573 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.425 y[1] (analytic) = 0.078243434886791530148173504816861 y[1] (numeric) = 0.078243434886791530127341582388409 absolute error = 2.0831922428452080032474486155165e-20 relative error = 2.6624498858713536536504422961686e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.572 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.426 y[1] (analytic) = 0.078287225810734681773387290977021 y[1] (numeric) = 0.07828722581073468175248037096602 absolute error = 2.0906920011001913073235396744167e-20 relative error = 2.6705404099445267259505858266210e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.571 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.427 y[1] (analytic) = 0.078331053508020982382641086564509 y[1] (numeric) = 0.078331053508020982361659000921823 absolute error = 2.0982085642685766825234630287202e-20 relative error = 2.6786420842070294290823079243979e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.167 Order of pole = 1.362e-58 TOP MAIN SOLVE Loop x[1] = 2.428 y[1] (analytic) = 0.078374918019835751251804190612817 y[1] (numeric) = 0.078374918019835751230746770865573 absolute error = 2.1057419747243634370590181705029e-20 relative error = 2.6867549312031502376308431696790e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.569 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.429 y[1] (analytic) = 0.078418819387421982096826696212787 y[1] (numeric) = 0.078418819387421982075693773463184 absolute error = 2.1132922749603031151722107886930e-20 relative error = 2.6948789735277058697103754038055e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.568 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.43 y[1] (analytic) = 0.078462757652080440019144912867108 y[1] (numeric) = 0.078462757652080439997936317791225 absolute error = 2.1208595075882656804314332594890e-20 relative error = 2.7030142338261687270530573748861e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.567 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.431 y[1] (analytic) = 0.078506732855169758641255712051749 y[1] (numeric) = 0.078506732855169758619971274898353 absolute error = 2.1284437153396069311832766981099e-20 relative error = 2.7111607347947946923356025777393e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.566 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.432 y[1] (analytic) = 0.078550745038106537432886243439442 y[1] (numeric) = 0.078550745038106537411525794028786 absolute error = 2.1360449410655371526527683575641e-20 relative error = 2.7193184991807512848452996519246e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.565 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.433 y[1] (analytic) = 0.078594794242365439228186545372893 y[1] (numeric) = 0.078594794242365439206749913095518 absolute error = 2.1436632277374910102024752825322e-20 relative error = 2.7274875497822461755910082030070e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.564 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.434 y[1] (analytic) = 0.078638880509479287934373652326185 y[1] (numeric) = 0.07863888050947928791286066614171 absolute error = 2.1512986184474986882786365364760e-20 relative error = 2.7356679094486560629684169392436e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.563 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.435 y[1] (analytic) = 0.078683003881039166432256884271071 y[1] (numeric) = 0.078683003881039166410667372706985 absolute error = 2.1589511564085582795902823513781e-20 relative error = 2.7438596010806559100925806217194e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.562 memory used=114.4MB, alloc=4.5MB, time=17.28 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.436 y[1] (analytic) = 0.078727164398694514669075088079952 y[1] (numeric) = 0.078727164398694514647408879230401 absolute error = 2.1666208849550094290851695373329e-20 relative error = 2.7520626476303485449145015639478e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.561 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.437 y[1] (analytic) = 0.078771362104153227944077689358674 y[1] (numeric) = 0.078771362104153227922334610883245 absolute error = 2.1743078475429082373043087704211e-20 relative error = 2.7602770721013946242422843406924e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.56 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.438 y[1] (analytic) = 0.078815597039181755387282504419191 y[1] (numeric) = 0.078815597039181755365462383541686 absolute error = 2.1820120877504034277148812903592e-20 relative error = 2.7685028975491429627911690290597e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.559 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.439 y[1] (analytic) = 0.078859869245605198631844356484146 y[1] (numeric) = 0.078859869245605198609947019991365 absolute error = 2.1897336492781137826394404244124e-20 relative error = 2.7767401470807612283905387618096e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.558 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.44 y[1] (analytic) = 0.078904178765307410680469637672011 y[1] (numeric) = 0.078904178765307410658494911912516 absolute error = 2.1974725759495068524174675527087e-20 relative error = 2.7849888438553670044798016776009e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.557 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.441 y[1] (analytic) = 0.078948525640231094966313058851942 y[1] (numeric) = 0.078948525640231094944260769734829 absolute error = 2.2052289117112789424536029857227e-20 relative error = 2.7932490110841592210288655600200e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.556 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.442 y[1] (analytic) = 0.078992909912377904608793933091741 y[1] (numeric) = 0.078992909912377904586663906085404 absolute error = 2.2130027006337363828252000823059e-20 relative error = 2.8015206720305499550227556214740e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.555 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.443 y[1] (analytic) = 0.079037331623808541864770445159592 y[1] (numeric) = 0.07903733162380854184256250529048 absolute error = 2.2207939869111780851402561428551e-20 relative error = 2.8098038500102966016537720643183e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.554 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.444 y[1] (analytic) = 0.079081790816642857775511469390286 y[1] (numeric) = 0.079081790816642857753225441241663 absolute error = 2.2286028148622793913552565153231e-20 relative error = 2.8180985683916344173684442951147e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.553 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.445 y[1] (analytic) = 0.079126287533059952009906611199139 y[1] (numeric) = 0.079126287533059951987542318909834 absolute error = 2.2364292289304772192810293017494e-20 relative error = 2.8264048505954094359204130341242e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.552 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.446 y[1] (analytic) = 0.079170821815298272904356263631236 y[1] (numeric) = 0.079170821815298272881913530894393 absolute error = 2.2442732736843565095233474014558e-20 relative error = 2.8347227200952117585842601066606e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.551 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.447 y[1] (analytic) = 0.079215393705655717699784589579896 y[1] (numeric) = 0.079215393705655717677263239641716 absolute error = 2.2521349938180379786237327273295e-20 relative error = 2.8430522004175092196892084816857e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.55 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.448 y[1] (analytic) = 0.079260003246489732976219462705949 y[1] (numeric) = 0.079260003246489732953619318364434 absolute error = 2.2600144341515671831847146387183e-20 relative error = 2.8513933151417814286355321921176e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.549 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.449 y[1] (analytic) = 0.079304650480217415285384525648353 y[1] (numeric) = 0.07930465048021741526270540925204 absolute error = 2.2679116396313048997826713050978e-20 relative error = 2.8597460879006541895604471871432e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.279 Order of pole = 1.512e-58 TOP MAIN SOLVE Loop memory used=118.2MB, alloc=4.5MB, time=17.86 x[1] = 2.45 y[1] (analytic) = 0.079349335449315611981749652846657 y[1] (numeric) = 0.079349335449315611958991386293354 absolute error = 2.2758266553303188254903392072628e-20 relative error = 2.8681105423800342998241999859529e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.547 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.451 y[1] (analytic) = 0.07939405819632102225248723720666 y[1] (numeric) = 0.079394058196321022229649641942172 absolute error = 2.2837595264487766038501126574799e-20 relative error = 2.8764867023192447284910312816135e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.546 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.452 y[1] (analytic) = 0.079438818763830298346782854942175 y[1] (numeric) = 0.079438818763830298323865751959031 absolute error = 2.2917102983143401811583724386861e-20 relative error = 2.8848745915111601759836664403402e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.545 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.453 y[1] (analytic) = 0.079483617194500147004950001228022 y[1] (numeric) = 0.079483617194500146981953211064196 absolute error = 2.2996790163825614979402807890259e-20 relative error = 2.8932742338023430160939742125419e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.544 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.454 y[1] (analytic) = 0.07952845353104743108779973081209 y[1] (numeric) = 0.079528453531047431064723073549718 absolute error = 2.3076657262372795205137593571415e-20 relative error = 2.9016856530931796215364389752782e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.543 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.455 y[1] (analytic) = 0.079573327816249271406717182467609 y[1] (numeric) = 0.079573327816249271383560477731698 absolute error = 2.3156704735910186175607277927547e-20 relative error = 2.9101088733380170742351105189743e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.542 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.456 y[1] (analytic) = 0.079618240092943148754898114130518 y[1] (numeric) = 0.079618240092943148731661181087664 absolute error = 2.3236933042853882866431236850791e-20 relative error = 2.9185439185453002615387288324678e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.541 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.457 y[1] (analytic) = 0.07966319040402700614019972677119 y[1] (numeric) = 0.079663190404027006116882384128275 absolute error = 2.3317342642914842356207499891036e-20 relative error = 2.9269908127777093595627695879969e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.54 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.458 y[1] (analytic) = 0.079708178792459351220061209504658 y[1] (numeric) = 0.079708178792459351196663275507555 absolute error = 2.3397933997102908239476042592077e-20 relative error = 2.9354495801522977048612191401414e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.539 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.459 y[1] (analytic) = 0.079753205301259358938950596159197 y[1] (numeric) = 0.079753205301259358915471888591466 absolute error = 2.3478707567730848688430353151099e-20 relative error = 2.9439202448406300556349658887897e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.538 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.46 y[1] (analytic) = 0.07979826997350697436879568450956 y[1] (numeric) = 0.079798269973506974345236020691141 absolute error = 2.3559663818418408213538477728116e-20 relative error = 2.9524028310689212436877878749765e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.537 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.461 y[1] (analytic) = 0.07984337285234301575285793364872 y[1] (numeric) = 0.079843372852343015729217130434624 absolute error = 2.3640803214096373173433335607908e-20 relative error = 2.9608973631181752183450245392130e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.536 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.462 y[1] (analytic) = 0.07988851398096927775350942253067 y[1] (numeric) = 0.079888513980969277729787296309659 absolute error = 2.3722126221010651084631524888498e-20 relative error = 2.9694038653243244835541437342638e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.535 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.463 y[1] (analytic) = 0.07993369340264863490437412357701 y[1] (numeric) = 0.079933693402648634880570490270284 absolute error = 2.3803633306726363781840115251718e-20 relative error = 2.9779223620783699293905534080152e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.912 Order of pole = 2.495e-58 TOP MAIN SOLVE Loop x[1] = 2.464 y[1] (analytic) = 0.079978911160705145267295919411969 y[1] (numeric) = 0.079978911160705145243410594471837 absolute error = 2.3885324940131954479812050495961e-20 relative error = 2.9864528778265210591961609171794e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.533 Order of pole = 1225 TOP MAIN SOLVE Loop memory used=122.0MB, alloc=4.5MB, time=18.44 x[1] = 2.465 y[1] (analytic) = 0.080024167298524154294596968284422 y[1] (numeric) = 0.080024167298524154270629766692979 absolute error = 2.3967201591443308787912763729912e-20 relative error = 2.9949954370703366135823517594081e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.147 Order of pole = 1.438e-58 TOP MAIN SOLVE Loop x[1] = 2.466 y[1] (analytic) = 0.080069461859552398897091204561781 y[1] (numeric) = 0.080069461859552398873041940829574 absolute error = 2.4049263732207889728763446308951e-20 relative error = 3.0035500643668655925332436805011e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.531 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.467 y[1] (analytic) = 0.080114794887298111718318944849696 y[1] (numeric) = 0.080114794887298111694187433014387 absolute error = 2.4131511835308886812530111631358e-20 relative error = 3.0121167843287886768492716856255e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.53 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.468 y[1] (analytic) = 0.080160166425331125615469757813692 y[1] (numeric) = 0.080160166425331125591255811438723 absolute error = 2.4213946374969379218632160706760e-20 relative error = 3.0206956216245600501753745198868e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.529 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.469 y[1] (analytic) = 0.080205576517282978347461946664735 y[1] (numeric) = 0.080205576517282978323165378837979 absolute error = 2.4296567826756513136849591890392e-20 relative error = 3.0292866009785496228622837455532e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.528 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.47 y[1] (analytic) = 0.080251025206847017470648187530596 y[1] (numeric) = 0.08025102520684701744626881086301 absolute error = 2.4379376667585693320014306288797e-20 relative error = 3.0378897471711856589136626923407e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.527 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.471 y[1] (analytic) = 0.080296512537778505442618064579434 y[1] (numeric) = 0.080296512537778505418155691203709 absolute error = 2.4462373375724788900678147049356e-20 relative error = 3.0465050850390978072761043552730e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.526 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.472 y[1] (analytic) = 0.080342038553894724934569443801708 y[1] (numeric) = 0.08034203855389472491002388537091 absolute error = 2.4545558430798353524358379030859e-20 relative error = 3.0551326394752605387332748238723e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.525 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.473 y[1] (analytic) = 0.080387603299075084352721831801963 y[1] (numeric) = 0.080387603299075084328092899488171 absolute error = 2.4628932313791859852170269217310e-20 relative error = 3.0637724354291369896697821092037e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.524 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.474 y[1] (analytic) = 0.080433206817261223569246073813876 y[1] (numeric) = 0.08043320681726122354453357830682 absolute error = 2.4712495507055948485866271704066e-20 relative error = 3.0724244979068232139746593542462e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.523 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.475 y[1] (analytic) = 0.080478849152457119863185956440823 y[1] (numeric) = 0.080478849152457119838389707946512 absolute error = 2.4796248494310691368512058195201e-20 relative error = 3.0810888519711928443586764311175e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.522 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.476 y[1] (analytic) = 0.080524530348729194071848495350836 y[1] (numeric) = 0.080524530348729194046968303590186 absolute error = 2.4880191760649869714241269764276e-20 relative error = 3.0897655227420421643640349090417e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.521 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.477 y[1] (analytic) = 0.080570250450206416953140906329913 y[1] (numeric) = 0.080570250450206416928176580537368 absolute error = 2.4964325792545266520743402227563e-20 relative error = 3.0984545353962355923493583830606e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.52 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.478 y[1] (analytic) = 0.080616009501080415759333479732007 y[1] (numeric) = 0.080616009501080415734284828654156 absolute error = 2.5048651077850973718352679959165e-20 relative error = 3.1071559151678515787372632491059e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.519 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.479 y[1] (analytic) = 0.080661807545605581022728803468393 y[1] (numeric) = 0.080661807545605580997595635362585 absolute error = 2.5133168105807714009820125461008e-20 relative error = 3.1158696873483289178161842601544e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.518 Order of pole = 1225 TOP MAIN SOLVE Loop memory used=125.8MB, alloc=4.5MB, time=19.02 x[1] = 2.48 y[1] (analytic) = 0.080707644628099173553719008264463 y[1] (numeric) = 0.080707644628099173528501130897416 absolute error = 2.5217877367047177455066298626949e-20 relative error = 3.1245958772866134753925346650735e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.72 Order of pole = 1.729e-58 TOP MAIN SOLVE Loop x[1] = 2.481 y[1] (analytic) = 0.080753520792941431651713940989042 y[1] (numeric) = 0.080753520792941431626411161635445 absolute error = 2.5302779353596372855428364568924e-20 relative error = 3.1333345103893053335937024809660e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.516 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.482 y[1] (analytic) = 0.080799436084575678529424407441176 y[1] (numeric) = 0.080799436084575678504036532882294 absolute error = 2.5387874558881993992132256283717e-20 relative error = 3.1420856121208063541268225461832e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.515 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.483 y[1] (analytic) = 0.080845390547508429950985865072762 y[1] (numeric) = 0.080845390547508429925512701595027 absolute error = 2.5473163477734800773938732531691e-20 relative error = 3.1508492080034681613027185097819e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.514 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.484 y[1] (analytic) = 0.080891384226309502084409188743543 y[1] (numeric) = 0.080891384226309502058850542137149 absolute error = 2.5558646606394015349131096293765e-20 relative error = 3.1596253236177405461388798994418e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.513 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.485 y[1] (analytic) = 0.080937417165612119568846378758784 y[1] (numeric) = 0.080937417165612119543202054316273 absolute error = 2.5644324442511733237232239310869e-20 relative error = 3.1684139846023202928598269393963e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.512 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.486 y[1] (analytic) = 0.080983489410113023797160330140532 y[1] (numeric) = 0.080983489410113023771430132655375 absolute error = 2.5730197485157349536059517752199e-20 relative error = 3.1772152166543004291177199286963e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.511 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.487 y[1] (analytic) = 0.08102960100457258141428903534179 y[1] (numeric) = 0.081029601004572581388472769106968 absolute error = 2.5816266234822000259947747286700e-20 relative error = 3.1860290455293199012605908043445e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.51 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.488 y[1] (analytic) = 0.081075751993814893031895849440383 y[1] (numeric) = 0.08107575199381489300599331824696 absolute error = 2.5902531193423018865193337048963e-20 relative error = 3.1948554970417136759801120700244e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.509 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.489 y[1] (analytic) = 0.08112194242272790215979870725695 y[1] (numeric) = 0.081121942422727902133809714392642 absolute error = 2.5988992864308408018996265519499e-20 relative error = 3.2036945970646632696753726360699e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.508 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.49 y[1] (analytic) = 0.081168172336263504354672445840537 y[1] (numeric) = 0.081168172336263504328596794088276 absolute error = 2.6075651752261326668401241524631e-20 relative error = 3.2125463715303477068737013570760e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.507 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.491 y[1] (analytic) = 0.081214441779437656586519653367017 y[1] (numeric) = 0.081214441779437656560357145003512 absolute error = 2.6162508363504592465964994768446e-20 relative error = 3.2214108464300949090541672374845e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.506 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.492 y[1] (analytic) = 0.081260750797330486823406736711267 y[1] (numeric) = 0.081260750797330486797157173505562 absolute error = 2.6249563205705199609103206925004e-20 relative error = 3.2302880478145335152239904702435e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.505 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.493 y[1] (analytic) = 0.081307099435086403834963174795059 y[1] (numeric) = 0.081307099435086403808626358007081 absolute error = 2.6336816787978852150298130751270e-20 relative error = 3.2391780017937451356027207471828e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.504 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.494 y[1] (analytic) = 0.081353487737914207215143203290326 y[1] (numeric) = 0.081353487737914207188718933669431 absolute error = 2.6424269620894512835576455359265e-20 relative error = 3.2480807345374170397736787002848e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.503 Order of pole = 1225 memory used=129.7MB, alloc=4.5MB, time=19.60 TOP MAIN SOLVE Loop x[1] = 2.495 y[1] (analytic) = 0.081399915751087197624750458383276 y[1] (numeric) = 0.081399915751087197598238536166797 absolute error = 2.6511922216478967528896465160612e-20 relative error = 3.2569962722749952806668129690974e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.502 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.496 y[1] (analytic) = 0.081446383519943287254227393090219 y[1] (numeric) = 0.081446383519943287227627618001998 absolute error = 2.6599775088221405280314012540292e-20 relative error = 3.2659246412958382557417993099391e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.501 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.497 y[1] (analytic) = 0.081492891089885110507212569072356 y[1] (numeric) = 0.081492891089885110480524740321278 absolute error = 2.6687828751078014096028284523289e-20 relative error = 3.2748658679493707067448994363984e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.5 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.498 y[1] (analytic) = 0.081539438506380134905370220035806 y[1] (numeric) = 0.081539438506380134878594136314329 absolute error = 2.6776083721476592468640796083735e-20 relative error = 3.2838199786452381594178059773411e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.499 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.499 y[1] (analytic) = 0.081586025814960772214997779636307 y[1] (numeric) = 0.081586025814960772188133239118986 absolute error = 2.6864540517321176726194491849222e-20 relative error = 3.2927869998534618045414261279040e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.498 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.5 y[1] (analytic) = 0.081632653061224489795918367346939 y[1] (numeric) = 0.081632653061224489768965167688942 absolute error = 2.6953199657996684258794288332955e-20 relative error = 3.3017669581045938217023003207870e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.497 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.501 y[1] (analytic) = 0.081679320290833922173166530003551 y[1] (numeric) = 0.081679320290833922146124468339177 absolute error = 2.7042061664373572681845845065665e-20 relative error = 3.3107598799898731471741136298478e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.496 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.502 y[1] (analytic) = 0.081726027549516982831976844728066 y[1] (numeric) = 0.081726027549516982804845717669254 absolute error = 2.7131127058812514995185819702013e-20 relative error = 3.3197657921613816873115367061712e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.495 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.503 y[1] (analytic) = 0.081772774883066976236586300656088 y[1] (numeric) = 0.081772774883066976209365904290918 absolute error = 2.7220396365169090797614343969537e-20 relative error = 3.3287847213322009788584299093256e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.494 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.504 y[1] (analytic) = 0.081819562337342710073362692374155 y[1] (numeric) = 0.081819562337342710046052822265356 absolute error = 2.7309870108798493616578958861211e-20 relative error = 3.3378166942765692975772590046507e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.493 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.505 y[1] (analytic) = 0.081866389958268607718772577215356 y[1] (numeric) = 0.081866389958268607691373028398795 absolute error = 2.7399548816560254412998773417630e-20 relative error = 3.3468617378300392166114034226568e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.492 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.506 y[1] (analytic) = 0.081913257791834820932703671581571 y[1] (numeric) = 0.081913257791834820905214238564748 absolute error = 2.7489433016822981321458166496150e-20 relative error = 3.3559198788896356159968886907900e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.491 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.507 y[1] (analytic) = 0.08196016588409734277765788826846 y[1] (numeric) = 0.08196016588409734275007836502899 absolute error = 2.7579523239469115686240939799892e-20 relative error = 3.3649911444140141447449433230454e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.169 Order of pole = 1.750e-58 TOP MAIN SOLVE Loop x[1] = 2.508 y[1] (analytic) = 0.08200711428117812076433254737715 y[1] (numeric) = 0.08200711428117812073666272736125 absolute error = 2.7669820015899704453918457879670e-20 relative error = 3.3740755614236201369216672616600e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.489 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.509 y[1] (analytic) = 0.08205410302926517022410862781662 y[1] (numeric) = 0.082054103029265170196348303937581 absolute error = 2.7760323879039188983448981590576e-20 relative error = 3.3831731570008479831560039801186e-17 % Correct digits = 18 h = 0.001 memory used=133.5MB, alloc=4.5MB, time=20.19 Real estimate of pole used for equation 1 Radius of convergence = 3.488 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.51 y[1] (analytic) = 0.082101132174612687908966264644789 y[1] (numeric) = 0.082101132174612687881115229281449 absolute error = 2.7851035363340210334990120368839e-20 relative error = 3.3922839582902009590121316510449e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.487 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.511 y[1] (analytic) = 0.082148201763541165819349039576621 y[1] (numeric) = 0.082148201763541165791407084571833 absolute error = 2.7941955004788431098872100504067e-20 relative error = 3.4014079924984515116673304296017e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.486 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.512 y[1] (analytic) = 0.082195311842437505260499957916 y[1] (numeric) = 0.082195311842437505232466874575093 absolute error = 2.8033083340907373826426376150755e-20 relative error = 3.4105452868948020063413429764825e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.485 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.513 y[1] (analytic) = 0.08224246245775513112779335495707 y[1] (numeric) = 0.082242462457755131099668934046307 absolute error = 2.8124420910763276124612002008242e-20 relative error = 3.4196958688110459339282239184656e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.484 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.514 y[1] (analytic) = 0.082289653656014106421588328562179 y[1] (numeric) = 0.082289653656014106393372360307209 absolute error = 2.8215968254969962476631146281268e-20 relative error = 3.4288597656417295812866710931463e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.483 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.515 y[1] (analytic) = 0.082336885483801246992130652169886 y[1] (numeric) = 0.082336885483801246963822926254192 absolute error = 2.8307725915693732850975154618566e-20 relative error = 3.4380370048443141656498472225227e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.482 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.516 y[1] (analytic) = 0.082384157987770236515031483929817 y[1] (numeric) = 0.082384157987770236486631789493158 absolute error = 2.8399694436658268161593685143517e-20 relative error = 3.4472276139393384346207351825540e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.643 Order of pole = 3.362e-59 TOP MAIN SOLVE Loop x[1] = 2.517 y[1] (analytic) = 0.082431471214641741697852553013946 y[1] (numeric) = 0.082431471214641741669360678650796 absolute error = 2.8491874363149552642131626391450e-20 relative error = 3.4564316205105817332241233579471e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.48 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.518 y[1] (analytic) = 0.082478825211203527718328873428325 y[1] (numeric) = 0.082478825211203527689744607186304 absolute error = 2.8584266242020813197431788929950e-20 relative error = 3.4656490522052275394913897688633e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.277 Order of pole = 1.266e-58 TOP MAIN SOLVE Loop x[1] = 2.519 y[1] (analytic) = 0.082526220024310573894761408857919 y[1] (numeric) = 0.082526220024310573866084538236221 absolute error = 2.8676870621697475795755732662755e-20 relative error = 3.4748799367340274700593448049409e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.478 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.52 y[1] (analytic) = 0.082573655700885189589113489232395 y[1] (numeric) = 0.082573655700885189560343801180213 absolute error = 2.8769688052182138965430560330436e-20 relative error = 3.4841243018714657572695025782571e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.251 Order of pole = 2.756e-58 TOP MAIN SOLVE Loop x[1] = 2.521 y[1] (analytic) = 0.082621132287917130343346160814929 y[1] (numeric) = 0.082621132287917130314483441729869 absolute error = 2.8862719085059564459886078572431e-20 relative error = 3.4933821754559241992592801872278e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.476 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.522 y[1] (analytic) = 0.082668649832463714249529036701904 y[1] (numeric) = 0.082668649832463714220573072428403 absolute error = 2.8955964273501685155304406180249e-20 relative error = 3.5026535853898475845417726448889e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.475 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.523 y[1] (analytic) = 0.082716208381649938554264603691343 y[1] (numeric) = 0.082716208381649938525215179519071 absolute error = 2.9049424172272630245362899950797e-20 relative error = 3.5119385596399095925759189447926e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.474 Order of pole = 1225 TOP MAIN SOLVE Loop memory used=137.3MB, alloc=4.5MB, time=20.77 x[1] = 2.524 y[1] (analytic) = 0.082763807982668596497965334544554 y[1] (numeric) = 0.08276380798266859646882223520682 absolute error = 2.9143099337733767797811176966614e-20 relative error = 3.5212371262371791718340617934857e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.473 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.525 y[1] (analytic) = 0.082811448682780394389524351741628 y[1] (numeric) = 0.08281144868278039436028736141378 absolute error = 2.9236990327848764737884043336476e-20 relative error = 3.5305493132772873968791100081504e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.472 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.526 y[1] (analytic) = 0.082859130529314068916921789929566 y[1] (numeric) = 0.082859130529314068887590692227378 absolute error = 2.9331097702188664323814298600443e-20 relative error = 3.5398751489205948059687385397601e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.806 Order of pole = 8.773e-59 TOP MAIN SOLVE Loop x[1] = 2.527 y[1] (analytic) = 0.082906853569666504694310409394872 y[1] (numeric) = 0.082906853569666504664884987372935 absolute error = 2.9425422021936981179972677338657e-20 relative error = 3.5492146613923592207093066146332e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.47 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.528 y[1] (analytic) = 0.082954617851302852046125422073096 y[1] (numeric) = 0.082954617851302852016605458223201 absolute error = 2.9519963849894813953426620249042e-20 relative error = 3.5585678789829040492874396695223e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.469 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.529 y[1] (analytic) = 0.083002423421756645028764904848927 y[1] (numeric) = 0.083002423421756644999150181098441 absolute error = 2.9614723750485975659975141327272e-20 relative error = 3.5679348300477870748125056666351e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.468 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.53 y[1] (analytic) = 0.083050270328629919690388592214868 y[1] (numeric) = 0.083050270328629919660678889925106 absolute error = 2.9709702289762141785983781070288e-20 relative error = 3.5773155430079697303085210948923e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.467 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.531 y[1] (analytic) = 0.083098158619593332569384261757205 y[1] (numeric) = 0.083098158619593332539579361721797 absolute error = 2.9804900035408016212611513135666e-20 relative error = 3.5867100463499868618993465722560e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.466 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.532 y[1] (analytic) = 0.083146088342386279432052351437895 y[1] (numeric) = 0.083146088342386279402152033881149 absolute error = 2.9900317556746515029290508952562e-20 relative error = 3.5961183686261169817363765414468e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.465 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.533 y[1] (analytic) = 0.083194059544817014250060877253072 y[1] (numeric) = 0.083194059544817014220064921828328 absolute error = 2.9995955424743968303589866751211e-20 relative error = 3.6055405384545530122232921784770e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.3855 Order of pole = 5.916e-59 TOP MAIN SOLVE Loop x[1] = 2.534 y[1] (analytic) = 0.083242072274762768418224153586285 y[1] (numeric) = 0.08324207227476276838813233937427 absolute error = 3.0091814212015339874865783738926e-20 relative error = 3.6149765845195735230978313911798e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.463 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.535 y[1] (analytic) = 0.0832901265801698702131602564503 y[1] (numeric) = 0.08329012658016987018297236195747 absolute error = 3.0187894492829465239373198109305e-20 relative error = 3.6244265355717144629359347546989e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.462 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.536 y[1] (analytic) = 0.083338222509053864493383611838561 y[1] (numeric) = 0.083338222509053864463099414995447 absolute error = 3.0284196843114307594787656662740e-20 relative error = 3.6338904204279413866490514944259e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.461 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.537 y[1] (analytic) = 0.083386360109499632641390537599368 y[1] (numeric) = 0.083386360109499632611009815758906 absolute error = 3.0380721840462232112361079501748e-20 relative error = 3.6433682679718221805508352662330e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.46 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.538 y[1] (analytic) = 0.083434539429661512748297017615701 y[1] (numeric) = 0.083434539429661512717819547551566 absolute error = 3.0477470064135298505211201032469e-20 relative error = 3.6528601071537002865749255814740e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.459 Order of pole = 1225 TOP MAIN SOLVE Loop memory used=141.1MB, alloc=4.5MB, time=21.35 x[1] = 2.539 y[1] (analytic) = 0.083482760517763420041589441634739 y[1] (numeric) = 0.083482760517763420011014999539669 absolute error = 3.0574442095070571961521771869073e-20 relative error = 3.6623659669908684272309973629090e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.458 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.54 y[1] (analytic) = 0.083531023422098967556550502856761 y[1] (numeric) = 0.083531023422098967525878864340876 absolute error = 3.0671638515885452511709114743283e-20 relative error = 3.6718858765677428328917683806069e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.457 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.541 y[1] (analytic) = 0.083579328191031587051923908376663 y[1] (numeric) = 0.08357932819103158702115484846578 absolute error = 3.0769059910883022898890344736371e-20 relative error = 3.6814198650360379730091822875071e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.456 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.542 y[1] (analytic) = 0.083627674872994650170383024786239 y[1] (numeric) = 0.083627674872994650139516317920182 absolute error = 3.0866706866057415022269495672853e-20 relative error = 3.6909679616149417928635337365500e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.455 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.543 y[1] (analytic) = 0.083676063516491589844370052705042 y[1] (numeric) = 0.083676063516491589813405472735943 absolute error = 3.0964579969099195023339945968354e-20 relative error = 3.7005301955912914574548716993595e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.454 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.544 y[1] (analytic) = 0.083724494170096021947873799725652 y[1] (numeric) = 0.083724494170096021916811119916251 absolute error = 3.1062679809400767085084914260970e-20 relative error = 3.7101065963197496041516077049852e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.453 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.545 y[1] (analytic) = 0.083772966882451867194715601249055 y[1] (numeric) = 0.083772966882451867163554594270993 absolute error = 3.1161006978061796014642403456139e-20 relative error = 3.7196971932229811057168673611601e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.452 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.546 y[1] (analytic) = 0.083821481702273473283914422961185 y[1] (numeric) = 0.08382148170227347325265486089329 absolute error = 3.1259562067894648680186817087496e-20 relative error = 3.7293020157918303453387562952461e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.451 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.547 y[1] (analytic) = 0.08387003867834573729270366727615 y[1] (numeric) = 0.08387003867834573726134532160272 absolute error = 3.1358345673429854373066559876898e-20 relative error = 3.7389210935854990052963656432327e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.45 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.548 y[1] (analytic) = 0.083918637859524228317773698959006 y[1] (numeric) = 0.083918637859524228286316340568084 absolute error = 3.1457358390921584166525270829966e-20 relative error = 3.7485544562317243708990175089220e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.449 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.549 y[1] (analytic) = 0.083967279294735310365315602354812 y[1] (numeric) = 0.083967279294735310333759001536459 absolute error = 3.1556600818353149342623927922335e-20 relative error = 3.7582021334269581513419474982219e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.448 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.55 y[1] (analytic) = 0.084015963032976265490443184204999 y[1] (numeric) = 0.084015963032976265458787110649556 absolute error = 3.1656073555442518959271914237570e-20 relative error = 3.7678641549365458191273395921268e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.447 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.551 y[1] (analytic) = 0.084064689123315417186571741940571 y[1] (numeric) = 0.084064689123315417154815964736923 absolute error = 3.1755777203647856629567252160724e-20 relative error = 3.7775405505949064697053683437037e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.446 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.552 y[1] (analytic) = 0.084113457614892254025333627618284 y[1] (numeric) = 0.084113457614892253993477915252111 absolute error = 3.1855712366173076585939600790876e-20 relative error = 3.7872313503057132029956647568089e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.445 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.553 y[1] (analytic) = 0.084162268556917553547612152324617 y[1] (numeric) = 0.084162268556917553515656272676643 absolute error = 3.1955879647973419101884278019664e-20 relative error = 3.7969365840420740284554053153254e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.444 Order of pole = 1225 TOP MAIN SOLVE Loop memory used=144.9MB, alloc=4.5MB, time=21.92 x[1] = 2.554 y[1] (analytic) = 0.084211121998673506406276894927088 y[1] (numeric) = 0.084211121998673506374220615271327 absolute error = 3.2056279655761045344371518668227e-20 relative error = 3.8066562818467132953660285697763e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.443 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.555 y[1] (analytic) = 0.084260017989513840761205002517268 y[1] (numeric) = 0.084260017989513840729048089519257 absolute error = 3.2156912998010651730312419648554e-20 relative error = 3.8163904738321536500164105419953e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.442 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.556 y[1] (analytic) = 0.08430895657886394692717459777883 y[1] (numeric) = 0.084308956578863946894916817493865 absolute error = 3.2257780284965103860761558313106e-20 relative error = 3.8261391901808985214661790672368e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.441 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.557 y[1] (analytic) = 0.084357937816221002275217940841297 y[1] (numeric) = 0.084357937816221002242859058712656 absolute error = 3.2358882128641090106836107004474e-20 relative error = 3.8359024611456151375787181462168e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.44 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.558 y[1] (analytic) = 0.084406961751154096388023529959913 y[1] (numeric) = 0.084406961751154096355563310817079 absolute error = 3.2460219142834794921632411370091e-20 relative error = 3.8456803170493180730193065169921e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.439 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.559 y[1] (analytic) = 0.084456028433304356469977866608628 y[1] (numeric) = 0.084456028433304356437416074665501 absolute error = 3.2561791943127591952723458351179e-20 relative error = 3.8554727882855533309197500686142e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.438 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.56 y[1] (analytic) = 0.084505137912385073012439156300703 y[1] (numeric) = 0.084505137912385072979775555153811 absolute error = 3.2663601146891757030124438005643e-20 relative error = 3.8652799053185829599168054958358e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.437 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.561 y[1] (analytic) = 0.084554290238181825714836766674381 y[1] (numeric) = 0.084554290238181825682071119301085 absolute error = 3.2765647373296201104918707627217e-20 relative error = 3.8751016986835702082776528278767e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.436 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.562 y[1] (analytic) = 0.084603485460552609662191819113687 y[1] (numeric) = 0.084603485460552609629323887870375 absolute error = 3.2867931243312223214042903154114e-20 relative error = 3.8849381989867652168316572458874e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.435 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.563 y[1] (analytic) = 0.084652723629427961759655849431248 y[1] (numeric) = 0.084652723629427961726685396051529 absolute error = 3.2970453379719283547037717826405e-20 relative error = 3.8947894369056912524336660251406e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.434 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.564 y[1] (analytic) = 0.084702004794811087424666036935495 y[1] (numeric) = 0.084702004794811087391592822528384 absolute error = 3.3073214407110796690879987689836e-20 relative error = 3.9046554431893314836901145914502e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.433 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.565 y[1] (analytic) = 0.084751329006777987537317069553297 y[1] (numeric) = 0.084751329006777987504140854601397 absolute error = 3.3176214951899945129322194123207e-20 relative error = 3.9145362486583163006852666595340e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.432 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.566 y[1] (analytic) = 0.084800696315477585649551285595516 y[1] (numeric) = 0.084800696315477585616271829953191 absolute error = 3.3279455642325513073477321386139e-20 relative error = 3.9244318842051111804509873171176e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.431 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.567 y[1] (analytic) = 0.08485010677113185545377031025187 y[1] (numeric) = 0.084850106771131855420387373143412 absolute error = 3.3382937108457740700700198574802e-20 relative error = 3.9343423807942050999295448260115e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.43 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.568 y[1] (analytic) = 0.084899560424035948511472986997463 y[1] (numeric) = 0.084899560424035948477986327015258 absolute error = 3.3486659982204198879131016696888e-20 relative error = 3.9442677694622994981850569241036e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.429 Order of pole = 1225 memory used=148.7MB, alloc=4.5MB, time=22.50 TOP MAIN SOLVE Loop x[1] = 2.569 y[1] (analytic) = 0.084949057324558322242525990801206 y[1] (numeric) = 0.084949057324558322208935365903891 absolute error = 3.3590624897315684455582649227432e-20 relative error = 3.9542080813184977896253406245217e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.428 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.57 y[1] (analytic) = 0.084998597523140868175675101360828 y[1] (numeric) = 0.084998597523140868141980268871435 absolute error = 3.3694832489392136184770724909348e-20 relative error = 3.9641633475444954300020910148599e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.427 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.571 y[1] (analytic) = 0.085048181070299040460906710565136 y[1] (numeric) = 0.085048181070299040427107427169247 absolute error = 3.3799283395888571378204111173774e-20 relative error = 3.9741335993947705369635044554980e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.426 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.572 y[1] (analytic) = 0.085097808016621984644270739016596 y[1] (numeric) = 0.085097808016621984610366760760475 absolute error = 3.3903978256121043351373571864977e-20 relative error = 3.9841188681967750669396749572256e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.425 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.573 y[1] (analytic) = 0.085147478412772666705777741750934 y[1] (numeric) = 0.085147478412772666671768824039661 absolute error = 3.4008917711272619748197870483821e-20 relative error = 3.9941191853511265501473294806138e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.424 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.574 y[1] (analytic) = 0.085197192309488002360984593280532 y[1] (numeric) = 0.085197192309488002326870490876132 absolute error = 3.4114102404399381822009506466725e-20 relative error = 4.0041345823318003855067285392503e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.423 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.575 y[1] (analytic) = 0.085246949757578986626884756779796 y[1] (numeric) = 0.08524694975757898659266522379936 absolute error = 3.4219532980436444752686603679794e-20 relative error = 4.0141650906863226972698429029128e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.422 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.576 y[1] (analytic) = 0.085296750807930823652720761638571 y[1] (numeric) = 0.085296750807930823618395551552367 absolute error = 3.4325210086203999079863223949710e-20 relative error = 4.0242107420359637551652254822424e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.058 Order of pole = 1.124e-58 TOP MAIN SOLVE Loop x[1] = 2.577 y[1] (analytic) = 0.085346595511503056816338137749234 y[1] (numeric) = 0.085346595511503056781907003378821 absolute error = 3.4431134370413373332477560725837e-20 relative error = 4.0342715680759319598713297311782e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.42 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.578 y[1] (analytic) = 0.085396483919329699086701683779553 y[1] (numeric) = 0.08539648391932969905216437729588 absolute error = 3.4537306483673117935246085557037e-20 relative error = 4.0443476005755683956363822254409e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.419 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.579 y[1] (analytic) = 0.085446416082519363653196580331893 y[1] (numeric) = 0.085446416082519363618552853253398 absolute error = 3.4643727078495110472981779690209e-20 relative error = 4.0544388713785419518692975632342e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.418 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.58 y[1] (analytic) = 0.085496392052255394822338497315413 y[1] (numeric) = 0.085496392052255394787588100506113 absolute error = 3.4750396809300682394006091507214e-20 relative error = 4.0645454124030450155325284870498e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.417 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.581 y[1] (analytic) = 0.085546411879795999182518488076669 y[1] (numeric) = 0.085546411879795999147661171744243 absolute error = 3.4857316332426767234237224498158e-20 relative error = 4.0746672556419897361741732424191e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.416 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.582 y[1] (analytic) = 0.085596475616474377037410110861131 y[1] (numeric) = 0.085596475616474377002445624554999 absolute error = 3.4964486306132070443871786840870e-20 relative error = 4.0848044331632048654431157704871e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.415 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.583 y[1] (analytic) = 0.085646583313698854108667871028921 y[1] (numeric) = 0.085646583313698854073595963638318 absolute error = 3.5071907390603260898912729272130e-20 relative error = 4.0949569771096331729374524766845e-17 % Correct digits = 18 h = 0.001 memory used=152.5MB, alloc=4.5MB, time=23.08 Real estimate of pole used for equation 1 Radius of convergence = 3.414 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.584 y[1] (analytic) = 0.085696735022953013508547735138129 y[1] (numeric) = 0.085696735022953013473368154890168 absolute error = 3.5179580247961184180133869682803e-20 relative error = 4.1051249196995294402429621282533e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.413 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.585 y[1] (analytic) = 0.085746930795795827983082130553989 y[1] (numeric) = 0.085746930795795827947794625011722 absolute error = 3.5287505542267097702410157668126e-20 relative error = 4.1153082932266590350249030101116e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.412 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.586 y[1] (analytic) = 0.085797170683861792426443511657605 y[1] (numeric) = 0.085797170683861792391047827718076 absolute error = 3.5395683939528927777683177072014e-20 relative error = 4.1255071300604970670429739131244e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.411 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.587 y[1] (analytic) = 0.085847454738861056667132246029534 y[1] (numeric) = 0.085847454738861056631628129921826 absolute error = 3.5504116107707548695173226370958e-20 relative error = 4.1357214626464281279658529433472e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.41 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.588 y[1] (analytic) = 0.085897783012579558526626251187107 y[1] (numeric) = 0.085897783012579558491013448470384 absolute error = 3.5612802716723083902792662574603e-20 relative error = 4.1459513235059466168683306277191e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.409 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.589 y[1] (analytic) = 0.085948155556879157151131494575683 y[1] (numeric) = 0.085948155556879157115409750137222 absolute error = 3.5721744438461229374060051236848e-20 relative error = 4.1561967452368576533006814539667e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.408 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.59 y[1] (analytic) = 0.085998572423697766617074156569001 y[1] (numeric) = 0.085998572423697766581243214622221 absolute error = 3.5830941946779599245161040269213e-20 relative error = 4.1664577605134785798265709235444e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.407 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.591 y[1] (analytic) = 0.086049033665049489810976948238322 y[1] (numeric) = 0.086049033665049489775036552320808 absolute error = 3.5940395917514093807149775658499e-20 relative error = 4.1767344020868410559324735201438e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.406 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.592 y[1] (analytic) = 0.086099539333024752584363772620071 y[1] (numeric) = 0.086099539333024752548313665591586 absolute error = 3.6050107028485289938634110080143e-20 relative error = 4.1870267027848937452182808069785e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.405 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.593 y[1] (analytic) = 0.086150089479790438184338620163308 y[1] (numeric) = 0.086150089479790438148178544203803 absolute error = 3.6160075959504854064638827969971e-20 relative error = 4.1973346955127055977855082684681e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.404 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.594 y[1] (analytic) = 0.086200684157590021960486295987634 y[1] (numeric) = 0.086200684157590021924215992595252 absolute error = 3.6270303392381977727693630108643e-20 relative error = 4.2076584132526697297462646113503e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.403 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.595 y[1] (analytic) = 0.086251323418743706348744288545177 y[1] (numeric) = 0.086251323418743706312363498534248 absolute error = 3.6380790010929835857546694459896e-20 relative error = 4.2179978890647079017829281423539e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.402 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.596 y[1] (analytic) = 0.086302007315648556132896806273396 y[1] (numeric) = 0.086302007315648556096405269772424 absolute error = 3.6491536500972067826260265196796e-20 relative error = 4.2283531560864755986952816505255e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.401 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.597 y[1] (analytic) = 0.086352735900778633984343730864773 y[1] (numeric) = 0.086352735900778633947741187314424 absolute error = 3.6602543550349281375801925897274e-20 relative error = 4.2387242475335677118786900487812e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.4 Order of pole = 1225 TOP MAIN SOLVE Loop memory used=156.4MB, alloc=4.5MB, time=23.67 x[1] = 2.598 y[1] (analytic) = 0.086403509226685136280798962881398 y[1] (numeric) = 0.086403509226685136244085151032472 absolute error = 3.6713811848925579505603993175682e-20 relative error = 4.2491111966997248266837639783404e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.399 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.599 y[1] (analytic) = 0.086454327345996529204574367623339 y[1] (numeric) = 0.086454327345996529167749025534743 absolute error = 3.6825342088595110407923830962356e-20 relative error = 4.2595140369570401166148377589921e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.795 Order of pole = 1.688e-58 TOP MAIN SOLVE Loop x[1] = 2.6 y[1] (analytic) = 0.086505190311418685121107266435986 y[1] (numeric) = 0.086505190311418685084170131472698 absolute error = 3.6937134963288640539199840706671e-20 relative error = 4.2699328017561668463315015856912e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.397 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.601 y[1] (analytic) = 0.086556098175735019238391161029744 y[1] (numeric) = 0.086556098175735019201341969860764 absolute error = 3.7049191168980150915961436456692e-20 relative error = 4.2803675246265264854243658363289e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.396 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.602 y[1] (analytic) = 0.086607050991806626547971125902056 y[1] (numeric) = 0.086607050991806626510809614498362 absolute error = 3.7161511403693456724216473593619e-20 relative error = 4.2908182391765174349431998756725e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.395 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.603 y[1] (analytic) = 0.086658048812572419048167056613443 y[1] (numeric) = 0.086658048812572419010892960245934 absolute error = 3.7274096367508850331606373542890e-20 relative error = 4.3012849790937243686625789259290e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.394 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.604 y[1] (analytic) = 0.08670909169104926325018971949262 y[1] (numeric) = 0.08670909169104926321280277273005 absolute error = 3.7386946762569767791987581655092e-20 relative error = 4.3117677781451281910771905351316e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.393 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.605 y[1] (analytic) = 0.086760179680332117967816311347581 y[1] (numeric) = 0.086760179680332117930316248054491 absolute error = 3.7500063293089478932468019295847e-20 relative error = 4.3222666701773166141259970210442e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.392 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.606 y[1] (analytic) = 0.086811312833594172391294005956645 y[1] (numeric) = 0.086811312833594172353680559291287 absolute error = 3.7613446665357801113298851690178e-20 relative error = 4.3327816891166953546515221114816e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.346 Order of pole = 1.534e-58 TOP MAIN SOLVE Loop x[1] = 2.607 y[1] (analytic) = 0.086862491204086984446141737522572 y[1] (numeric) = 0.086862491204086984408414639934824 absolute error = 3.7727097587747836751395197957441e-20 relative error = 4.3433128689696999546076289532994e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.39 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.608 y[1] (analytic) = 0.086913714845140619437522249911 y[1] (numeric) = 0.086913714845140619399681233140278 absolute error = 3.7841016770722734698634366810575e-20 relative error = 4.3538602438230082260362828337523e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.389 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.609 y[1] (analytic) = 0.086964983810163788980858224378529 y[1] (numeric) = 0.086964983810163788942903019451686 absolute error = 3.7955204926842475566456818379930e-20 relative error = 4.3644238478437533228409454618943e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.388 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.61 y[1] (analytic) = 0.087016298152643990219368087642815 y[1] (numeric) = 0.087016298152643990181298424872045 absolute error = 3.8069662770770681088673337398025e-20 relative error = 4.3750037152797374413914286071185e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.387 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.611 y[1] (analytic) = 0.087067657926147645329198896574158 y[1] (numeric) = 0.087067657926147645291014505554876 absolute error = 3.8184391019281447614761863427705e-20 relative error = 4.3855998804596461520022434002536e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.386 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.612 y[1] (analytic) = 0.087119063184320241312835495512323 y[1] (numeric) = 0.087119063184320241274536105121057 absolute error = 3.8299390391266203826319067851926e-20 relative error = 4.3962123777932633633337177837732e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.385 Order of pole = 1225 TOP MAIN SOLVE Loop memory used=160.2MB, alloc=4.5MB, time=24.25 x[1] = 2.613 y[1] (analytic) = 0.087170513980886470081466947251117 y[1] (numeric) = 0.087170513980886470043052285643376 absolute error = 3.8414661607740592769715102928551e-20 relative error = 4.4068412417716869217724185660756e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.384 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.614 y[1] (analytic) = 0.08722201036965036882699304910355 y[1] (numeric) = 0.087222010369650368788462843711698 absolute error = 3.8530205391851378298384983347589e-20 relative error = 4.4174865069675448478547064054017e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.383 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.615 y[1] (analytic) = 0.087273552404495460684355561179851 y[1] (numeric) = 0.087273552404495460645709538710968 absolute error = 3.8646022468883376018576803451082e-20 relative error = 4.4281482080352122118045719372328e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.382 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.616 y[1] (analytic) = 0.087325140139384895684880595096379 y[1] (numeric) = 0.087325140139384895646118481530113 absolute error = 3.8762113566266408832765451667602e-20 relative error = 4.4388263797110286502642492809167e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.5111 Order of pole = 4.03e-60 TOP MAIN SOLVE Loop x[1] = 2.617 y[1] (analytic) = 0.087376773628361592001320437803072 y[1] (numeric) = 0.08737677362836159196244195838949 absolute error = 3.8878479413582287175330665894826e-20 relative error = 4.4495210568135165263034794332919e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.38 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.618 y[1] (analytic) = 0.087428452925548377485284917088101 y[1] (numeric) = 0.087428452925548377446289796345529 absolute error = 3.8995120742571814035490187696749e-20 relative error = 4.4602322742435997348007006962115e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.379 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.619 y[1] (analytic) = 0.087480178085148131497754252608287 y[1] (numeric) = 0.087480178085148131458642214321145 absolute error = 3.9112038287141814862872427469453e-20 relative error = 4.4709600669848231552968764086414e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.378 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.62 y[1] (analytic) = 0.087531949161443927033367179020342 y[1] (numeric) = 0.08753194916144392699413794623697 absolute error = 3.9229232783372192451508455415074e-20 relative error = 4.4817044701035727544301319804397e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.377 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.621 y[1] (analytic) = 0.087583766208799173139179975968766 y[1] (numeric) = 0.087583766208799173099833270999243 absolute error = 3.9346704969523006898420292533353e-20 relative error = 4.4924655187492963400668636726081e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.376 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.622 y[1] (analytic) = 0.087635629281657757628593893339026 y[1] (numeric) = 0.087635629281657757589129437752985 absolute error = 3.9464455586041580733381400221120e-20 relative error = 4.5032432481547249692525008568078e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.375 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.623 y[1] (analytic) = 0.087687538434544190091150319327324 y[1] (numeric) = 0.087687538434544190051567833951755 absolute error = 3.9582485375569629316825964831595e-20 relative error = 4.5140376936360950121126517348898e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.374 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.624 y[1] (analytic) = 0.087739493722063745198894903528672 y[1] (numeric) = 0.087739493722063745159194108445721 absolute error = 3.9700795082950416603286053098932e-20 relative error = 4.5248488905933708738429398272449e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.373 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.625 y[1] (analytic) = 0.087791495198902606310013717421125 y[1] (numeric) = 0.087791495198902606270194331965889 absolute error = 3.9819385455235936368139984132786e-20 relative error = 4.5356768745104683769334450676252e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.372 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.626 y[1] (analytic) = 0.087843542919828009370446410343893 y[1] (numeric) = 0.087843542919828009330508153102199 absolute error = 3.9938257241694118995861332229417e-20 relative error = 4.5465216809554788057812991929449e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.371 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.627 y[1] (analytic) = 0.0878956369396883871141832003487 y[1] (numeric) = 0.087895636939688387074125789154884 absolute error = 4.0057411193816063928365850569151e-20 relative error = 4.5573833455808936158526504111995e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.37 Order of pole = 1225 TOP MAIN SOLVE Loop memory used=164.0MB, alloc=4.5MB, time=24.83 x[1] = 2.628 y[1] (analytic) = 0.087947777313413513562954426165378 y[1] (numeric) = 0.087947777313413513522777578100055 absolute error = 4.0176848065323297872463297557526e-20 relative error = 4.5682619041238298095629071913533e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.369 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.629 y[1] (analytic) = 0.087999964096014648826023278982502 y[1] (numeric) = 0.087999964096014648785726710370327 absolute error = 4.0296568612175058865832663744686e-20 relative error = 4.5791573924062559810518955686832e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.368 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.63 y[1] (analytic) = 0.08805219734258468420079423082003 y[1] (numeric) = 0.088052197342584684160377657227455 absolute error = 4.0416573592575606301352646593961e-20 relative error = 4.5900698463352190320383187210296e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.367 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.631 y[1] (analytic) = 0.088104477108298287574951579981993 y[1] (numeric) = 0.088104477108298287534414716215012 absolute error = 4.0536863766981557010034411579180e-20 relative error = 4.6009993019030715609456918696396e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.366 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.632 y[1] (analytic) = 0.088156803448412049130844443441416 y[1] (numeric) = 0.088156803448412049090187003543307 absolute error = 4.0657439898109247503220719928027e-20 relative error = 4.6119457951876999274997399172886e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.365 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.633 y[1] (analytic) = 0.088209176418264627352836441045529 y[1] (numeric) = 0.088209176418264627312058138294587 absolute error = 4.0778302750942122475134404597236e-20 relative error = 4.6229093623527529950050897811904e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.364 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.634 y[1] (analytic) = 0.088261596073276895338340237155378 y[1] (numeric) = 0.08826159607327689529744078406264 absolute error = 4.0899453092738149667279945610209e-20 relative error = 4.6338900396478715525169642344606e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.363 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.635 y[1] (analytic) = 0.088314062468952087413259031768776 y[1] (numeric) = 0.088314062468952087372238140075739 absolute error = 4.1020891693037261196624542599477e-20 relative error = 4.6448878634089184191314893637597e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.362 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.636 y[1] (analytic) = 0.088366575660875946052559025337878 y[1] (numeric) = 0.08836657566087594601141640601421 absolute error = 4.1142619323668821449909615210690e-20 relative error = 4.6559028700582092326261636089332e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.8286 Order of pole = 1.751e-59 TOP MAIN SOLVE Loop x[1] = 2.637 y[1] (analytic) = 0.088419135704716869106698819401174 y[1] (numeric) = 0.088419135704716869065434182642415 absolute error = 4.1264636758759121646870089922285e-20 relative error = 4.6669350961047439246900029003027e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.36 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.638 y[1] (analytic) = 0.088471742656226057334643658823234 y[1] (numeric) = 0.088471742656226057293256714048495 absolute error = 4.1386944774738901175567163841813e-20 relative error = 4.6779845781444388849908737785922e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.359 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.639 y[1] (analytic) = 0.088524396571237662244194370892966 y[1] (numeric) = 0.088524396571237662202684826742615 absolute error = 4.1509544150350895803470481227948e-20 relative error = 4.6890513528603598163355546997537e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.358 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.64 y[1] (analytic) = 0.088577097505668934240362811791383 y[1] (numeric) = 0.088577097505668934198730376124726 absolute error = 4.1632435666657412868357825974222e-20 relative error = 4.7001354570229552831861251211858e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.357 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.641 y[1] (analytic) = 0.088629845515520371082527592021931 y[1] (numeric) = 0.088629845515520371040771971914883 absolute error = 4.1755620107047933553534532240578e-20 relative error = 4.7112369274902909558043725666110e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.356 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.642 y[1] (analytic) = 0.088682640656875866651105819319407 y[1] (numeric) = 0.08868264065687586660922672106216 absolute error = 4.1879098257246742352310855042224e-20 relative error = 4.7223558012082845523040298043634e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.355 Order of pole = 1225 memory used=167.8MB, alloc=4.5MB, time=25.41 TOP MAIN SOLVE Loop x[1] = 2.643 y[1] (analytic) = 0.088735482985902860024478570336491 y[1] (numeric) = 0.088735482985902859982475699431171 absolute error = 4.2002870905320583827113532159175e-20 relative error = 4.7334921152109414808988076787769e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.354 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.644 y[1] (analytic) = 0.088788372558852484866909781069182 y[1] (numeric) = 0.088788372558852484824782842227496 absolute error = 4.2126938841686346769047717518227e-20 relative error = 4.7446459066205911846423741381036e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.353 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.645 y[1] (analytic) = 0.088841309432059719128200230543198 y[1] (numeric) = 0.088841309432059719085948927684079 absolute error = 4.2251302859118775864167383573186e-20 relative error = 4.7558172126481241909646467368437e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.352 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.646 y[1] (analytic) = 0.088894293661943535055820282762081 y[1] (numeric) = 0.088894293661943535013444319009323 absolute error = 4.2375963752758210973156185567581e-20 relative error = 4.7670060705932298683170144880436e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.351 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.647 y[1] (analytic) = 0.08894732530500704952026704833371 y[1] (numeric) = 0.088947325305007049477766126013591 absolute error = 4.2500922320118354131566663353103e-20 relative error = 4.7782125178446348922473855351356e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.35 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.648 y[1] (analytic) = 0.089000404417837674654393629564653 y[1] (numeric) = 0.089000404417837674611767450203559 absolute error = 4.2626179361094064378213536151015e-20 relative error = 4.7894365918803424232342698369334e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.596 Order of pole = 8.787e-59 TOP MAIN SOLVE Loop x[1] = 2.649 y[1] (analytic) = 0.089053531057107268807460121160891 y[1] (numeric) = 0.089053531057107268764708385482922 absolute error = 4.2751735677969180519766731825142e-20 relative error = 4.8006783302678719986174510477762e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.348 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.65 y[1] (analytic) = 0.08910670527957228781465805301849 y[1] (numeric) = 0.089106705279572287771780460943065 absolute error = 4.2877592075424371940041694474750e-20 relative error = 4.8119377706645001409711791624288e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.347 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.651 y[1] (analytic) = 0.089159927142073936582861981948503 y[1] (numeric) = 0.089159927142073936539858232587958 absolute error = 4.3003749360545017562938442093387e-20 relative error = 4.8232149508175016852742254176945e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.346 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.652 y[1] (analytic) = 0.089213196701538320993363965576553 y[1] (numeric) = 0.089213196701538320950233757233724 absolute error = 4.3130208342829113078436809364119e-20 relative error = 4.8345099085643918272395835359058e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.345 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.653 y[1] (analytic) = 0.089266514014976600122348684108927 y[1] (numeric) = 0.089266514014976600079091714274732 absolute error = 4.3256969834195206541513319110578e-20 relative error = 4.8458226818331688951750767962421e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.344 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.654 y[1] (analytic) = 0.08931987913948513877986901418364 y[1] (numeric) = 0.089319879139485138736484979534649 absolute error = 4.3384034648990362454305189284173e-20 relative error = 4.8571533086425578477546387655184e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.343 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.655 y[1] (analytic) = 0.089373292132245660368083903646654 y[1] (numeric) = 0.089373292132245660324572500042656 absolute error = 4.3511403603998154442309110477964e-20 relative error = 4.8685018271022545000885769486570e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.342 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.656 y[1] (analytic) = 0.08942675305052540005952244683043 y[1] (numeric) = 0.089426753050525400015883369311983 absolute error = 4.3639077518446686635866631704275e-20 relative error = 4.8798682754131704804897032690545e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.341 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.657 y[1] (analytic) = 0.089480261951677258296140116784269 y[1] (numeric) = 0.089480261951677258252373059570252 absolute error = 4.3767057214016643868654279493721e-20 relative error = 4.8912526918676789203408232996972e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.34 Order of pole = 1225 memory used=171.6MB, alloc=4.5MB, time=25.99 TOP MAIN SOLVE Loop x[1] = 2.658 y[1] (analytic) = 0.089533818893139954609935173933769 y[1] (numeric) = 0.089533818893139954566039830418919 absolute error = 4.3895343514849370805364917256083e-20 relative error = 4.9026551148498608794777176769617e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.339 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.659 y[1] (analytic) = 0.089587423932438181765895339850341 y[1] (numeric) = 0.089587423932438181721871402602786 absolute error = 4.4023937247554980111237338327471e-20 relative error = 4.9140755828357525095104242810330e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.914 Order of pole = 2.848e-58 TOP MAIN SOLVE Loop x[1] = 2.66 y[1] (analytic) = 0.089641077127182760228046900211553 y[1] (numeric) = 0.089641077127182760183894060970332 absolute error = 4.4152839241220489776563687303547e-20 relative error = 4.9255141343935929575143387008345e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.337 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.661 y[1] (analytic) = 0.089694778535070792949380482649397 y[1] (numeric) = 0.089694778535070792905098432321979 absolute error = 4.4282050327417989709779030266902e-20 relative error = 4.9369708081840730125313933590229e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.336 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.662 y[1] (analytic) = 0.089748528213885820486429843037004 y[1] (numeric) = 0.089748528213885820442018271696791 absolute error = 4.4411571340212837713214255551224e-20 relative error = 4.9484456429605844973303525963009e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.335 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.663 y[1] (analytic) = 0.089802326221497976439282087875348 y[1] (numeric) = 0.089802326221497976394740684759176 absolute error = 4.4541403116171884956072492990904e-20 relative error = 4.9599386775694704078840721470223e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.334 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.664 y[1] (analytic) = 0.08985617261586414321779986083076 y[1] (numeric) = 0.089856172615864143173128314336388 absolute error = 4.4671546494371731059670401479711e-20 relative error = 4.9714499509502758030304169234595e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.333 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.665 y[1] (analytic) = 0.089910067455028108134838128162306 y[1] (numeric) = 0.089910067455028108090036125845899 absolute error = 4.4802002316407008910469002456163e-20 relative error = 4.9829795021359994467924110084300e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.332 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.666 y[1] (analytic) = 0.089964010797120719827240310786073 y[1] (numeric) = 0.089964010797120719782307539359674 absolute error = 4.4932771426398699316904241049055e-20 relative error = 4.9945273702533462058421083801826e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.331 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.667 y[1] (analytic) = 0.090018002700360045005400630072008 y[1] (numeric) = 0.090018002700360044960336775401006 absolute error = 4.5063854671002475626515147510233e-20 relative error = 5.0060935945229802046016223050981e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.33 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.668 y[1] (analytic) = 0.090072043223051525532181660179078 y[1] (numeric) = 0.090072043223051525486986407279661 absolute error = 4.5195252899417078420357359742513e-20 relative error = 5.0176782142597787404837356790996e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.33 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.669 y[1] (analytic) = 0.090126132423588135831978211827234 y[1] (numeric) = 0.090126132423588135786651244863842 absolute error = 4.5326966963392720402181863761538e-20 relative error = 5.0292812688730869617835340245983e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.329 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.67 y[1] (analytic) = 0.090180270360450540630720810900991 y[1] (numeric) = 0.090180270360450540585261813183752 absolute error = 4.5458997717239521600353123428542e-20 relative error = 5.0409027978669733107415575038676e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.328 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.671 y[1] (analytic) = 0.090234457092207253027614180200557 y[1] (numeric) = 0.090234457092207252982022834182721 absolute error = 4.5591346017835975000977314427425e-20 relative error = 5.0525428408404857343080583401750e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.9003 Order of pole = 1.301e-58 TOP MAIN SOLVE Loop x[1] = 2.672 y[1] (analytic) = 0.090288692677514792899408284023669 y[1] (numeric) = 0.090288692677514792853684271299031 memory used=175.4MB, alloc=4.5MB, time=26.57 absolute error = 4.5724012724637442731210160960306e-20 relative error = 5.0642014374879086651470755936939e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.326 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.673 y[1] (analytic) = 0.090342977175117845638001653095796 y[1] (numeric) = 0.090342977175117845592144654396112 absolute error = 4.5856998699684682912214907781334e-20 relative error = 5.0758786275990207754282004697313e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.325 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.674 y[1] (analytic) = 0.090397310643849421222178871689696 y[1] (numeric) = 0.090397310643849421176188566882083 absolute error = 4.5990304807612407301744255814760e-20 relative error = 5.0875744510593535059631023923748e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.324 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.675 y[1] (analytic) = 0.090451693142631013624286279608796 y[1] (numeric) = 0.090451693142631013578162347693139 absolute error = 4.6123931915657869846825657601552e-20 relative error = 5.0992889478504503732531191082115e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.323 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.676 y[1] (analytic) = 0.090506124730472760552652119074202 y[1] (numeric) = 0.090506124730472760506394238180533 absolute error = 4.6257880893669486267537220135917e-20 relative error = 5.1110221580501270570234832438846e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.814 Order of pole = 1.563e-58 TOP MAIN SOLVE Loop x[1] = 2.677 y[1] (analytic) = 0.090560605466473603530559540473753 y[1] (numeric) = 0.090560605466473603484167387859638 absolute error = 4.6392152614115484793371608292274e-20 relative error = 5.1227741218327322708290631802242e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.321 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.678 y[1] (analytic) = 0.090615135409821448312583071425387 y[1] (numeric) = 0.090615135409821448266056323473294 absolute error = 4.6526747952092588174197793063692e-20 relative error = 5.1345448794694094183258379774830e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.32 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.679 y[1] (analytic) = 0.090669714619793325639101350697672 y[1] (numeric) = 0.090669714619793325592439682912337 absolute error = 4.6661667785334727088345256350788e-20 relative error = 5.1463344713283590378117045444835e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.319 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.68 y[1] (analytic) = 0.090724343155755552329801132239803 y[1] (numeric) = 0.090724343155755552283004219245581 absolute error = 4.6796912994221785070852359228515e-20 relative error = 5.1581429378751020376496304436039e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.318 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.681 y[1] (analytic) = 0.090779021077163892716989774923403 y[1] (numeric) = 0.090779021077163892670057290461615 absolute error = 4.6932484461788375085440014707469e-20 relative error = 5.1699703196727437251956178185397e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.317 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.682 y[1] (analytic) = 0.090833748443563720419535650611257 y[1] (numeric) = 0.090833748443563720372467267537524 absolute error = 4.7068383073732647864293590284229e-20 relative error = 5.1818166573822386318634330784428e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.316 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.683 y[1] (analytic) = 0.090888525314590180458258126865657 y[1] (numeric) = 0.090888525314590180411053517147232 absolute error = 4.7204609718425132140260111387597e-20 relative error = 5.1936819917626561369675833268081e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.315 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.684 y[1] (analytic) = 0.090943351749968351713591011013604 y[1] (numeric) = 0.090943351749968351666249845726686 absolute error = 4.7341165286917606896594355578383e-20 relative error = 5.2055663636714468929955842435270e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.314 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.685 y[1] (analytic) = 0.090998227809513409726345579419841 y[1] (numeric) = 0.090998227809513409678867528746889 absolute error = 4.7478050672952005759916330512202e-20 relative error = 5.2174698140647100549701653717295e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.313 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.686 y[1] (analytic) = 0.091053153553130789842401559704099 y[1] (numeric) = 0.09105315355313078979478629293113 absolute error = 4.7615266772969353662573927748900e-20 relative error = 5.2293923839974613165716976859936e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.296 Order of pole = 1.207e-58 TOP MAIN SOLVE Loop memory used=179.2MB, alloc=4.5MB, time=27.14 x[1] = 2.687 y[1] (analytic) = 0.091108129040816350702156684298215 y[1] (numeric) = 0.091108129040816350654403869812097 absolute error = 4.7752814486118735901138251069364e-20 relative error = 5.2413341146239017557008050845155e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.311 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.688 y[1] (analytic) = 0.09116315433265653807556769119466 y[1] (numeric) = 0.091163154332656538027676996480394 absolute error = 4.7890694714266299718295243680495e-20 relative error = 5.2532950471976874921708362149517e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.31 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.689 y[1] (analytic) = 0.091218229488828549043617912012903 y[1] (numeric) = 0.091218229488828548995589003650898 absolute error = 4.8028908362004288535935795252085e-20 relative error = 5.2652752230722001602296259726173e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.309 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.69 y[1] (analytic) = 0.091273354569600496527048858626701 y[1] (numeric) = 0.091273354569600496478881402290041 absolute error = 4.8167456336660108967787508894992e-20 relative error = 5.2772746837008181986197672620442e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.308 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.691 y[1] (analytic) = 0.091328529635331574163195497576552 y[1] (numeric) = 0.091328529635331574114889158028246 absolute error = 4.8306339548305430740474761779055e-20 relative error = 5.2892934706371889608964433507929e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.307 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.692 y[1] (analytic) = 0.091383754746472221531767186359988 y[1] (numeric) = 0.091383754746472221483321627450222 absolute error = 4.8445558909765319652439612982691e-20 relative error = 5.3013316255355016487317395308222e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.306 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.693 y[1] (analytic) = 0.09143902996356428973041853747112 y[1] (numeric) = 0.091439029963564289681833422134493 absolute error = 4.8585115336627403700704510306595e-20 relative error = 5.3133891901507610709442600013598e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.4 Order of pole = 1.116e-58 TOP MAIN SOLVE Loop x[1] = 2.694 y[1] (analytic) = 0.091494355347241207300956774772737 y[1] (numeric) = 0.091494355347241207252231765025486 absolute error = 4.8725009747251072506008636175168e-20 relative error = 5.3254662063390622310028220625102e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.304 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.695 y[1] (analytic) = 0.091549730958228146507034452452503 y[1] (numeric) = 0.091549730958228146458169209389726 absolute error = 4.8865243062776710167403123456955e-20 relative error = 5.3375627160578657457629850259840e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.303 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.696 y[1] (analytic) = 0.091605156857342189964178719462505 y[1] (numeric) = 0.09160515685734218991517290325537 absolute error = 4.9005816207134961677946277187153e-20 relative error = 5.3496787613662740982051958742627e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.302 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.697 y[1] (analytic) = 0.091660633105492497623010631991816 y[1] (numeric) = 0.09166063310549249757386390188476 absolute error = 4.9146730107056033033698369961525e-20 relative error = 5.3618143844253087269533977989158e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.301 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.698 y[1] (analytic) = 0.091716159763680474106510343198201 y[1] (numeric) = 0.091716159763680474057222357506122 absolute error = 4.9287985692079025168776549444740e-20 relative error = 5.3739696274981879553630514901209e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.3 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.699 y[1] (analytic) = 0.091771736892999936402186333151044 y[1] (numeric) = 0.091771736892999936352756749256483 absolute error = 4.9429583894561301849793918313601e-20 relative error = 5.3861445329506057629776626008990e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.299 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.7 y[1] (analytic) = 0.091827364554637281910009182736455 y[1] (numeric) = 0.091827364554637281860437657086768 absolute error = 4.9571525649687891663572932416420e-20 relative error = 5.3983391432510114021630923401482e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.298 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.701 y[1] (analytic) = 0.091883042809871656846972743171 y[1] (numeric) = 0.091883042809871656797258931275519 absolute error = 4.9713811895480924232591924417584e-20 relative error = 5.4105535009708898627391518279826e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.297 Order of pole = 1225 TOP MAIN SOLVE Loop memory used=183.1MB, alloc=4.5MB, time=27.72 x[1] = 2.702 y[1] (analytic) = 0.091938771720075125009147907786147 y[1] (numeric) = 0.091938771720075124959291464213338 absolute error = 4.9856443572809100793194810218850e-20 relative error = 5.4227876487850431874382448456762e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.296 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.703 y[1] (analytic) = 0.091994551346712836892096554905246 y[1] (numeric) = 0.091994551346712836842097133279849 absolute error = 4.9999421625397199272167886578406e-20 relative error = 5.4350416294718726410311281019557e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.295 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.704 y[1] (analytic) = 0.092050381751343199170515599962296 y[1] (numeric) = 0.092050381751343199120372852962461 absolute error = 5.0142746999835613997864093222463e-20 relative error = 5.4473154859136617359702032895704e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.294 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.705 y[1] (analytic) = 0.092106262995618044537983471531105 y[1] (numeric) = 0.092106262995618044487697050885516 absolute error = 5.0286420645589930182634204064491e-20 relative error = 5.4596092610968601174111411938328e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.293 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.706 y[1] (analytic) = 0.092162195141282801907683709668441 y[1] (numeric) = 0.09216219514128280185725326615343 absolute error = 5.0430443515010533313906142682342e-20 relative error = 5.4719229981123683104840651118162e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.292 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.707 y[1] (analytic) = 0.092218178250176666974982775949757 y[1] (numeric) = 0.092218178250176666924407959386415 absolute error = 5.0574816563342253591837999787336e-20 relative error = 5.4842567401558233326959890215590e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.291 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.708 y[1] (analytic) = 0.092274212384232773142741562815116 y[1] (numeric) = 0.092274212384232773092022022066382 absolute error = 5.0719540748734045552057377952329e-20 relative error = 5.4966105305278851743567154801716e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.29 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.709 y[1] (analytic) = 0.092330297605478362810242495370328 y[1] (numeric) = 0.092330297605478362759377878338079 absolute error = 5.0864617032248703012589414314966e-20 relative error = 5.5089844126345241499309493042223e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.289 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.71 y[1] (analytic) = 0.092386433976034959026616531628496 y[1] (numeric) = 0.092386433976034958975606485250623 absolute error = 5.1010046377872609484668248371669e-20 relative error = 5.5213784299873091232299758719978e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.288 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.711 y[1] (analytic) = 0.092442621558118537509656787354515 y[1] (numeric) = 0.092442621558118537458500957601989 absolute error = 5.1155829752525524187721822429189e-20 relative error = 5.5337926262036966093668875628602e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.287 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.712 y[1] (analytic) = 0.092498860414039699030907939214189 y[1] (numeric) = 0.092498860414039698979605971088118 absolute error = 5.1301968126070403809417739952909e-20 relative error = 5.5462270450073207564100185923746e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.286 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.713 y[1] (analytic) = 0.092555150606203842167922994855137 y[1] (numeric) = 0.092555150606203842116474532383814 absolute error = 5.1448462471323260152258475182142e-20 relative error = 5.5586817302282842096799674924520e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.285 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.714 y[1] (analytic) = 0.092611492197111336424581460883314 y[1] (numeric) = 0.092611492197111336372986147119251 absolute error = 5.1595313764063053808817539278381e-20 relative error = 5.5711567258034498616463479034995e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.284 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.715 y[1] (analytic) = 0.092667885249357695720365389471538 y[1] (numeric) = 0.092667885249357695668622866488497 absolute error = 5.1742522983041624008314277307890e-20 relative error = 5.5836520757767334903912123714183e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.283 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.716 y[1] (analytic) = 0.092724329825633752249492241569875 y[1] (numeric) = 0.092724329825633752197602150459881 absolute error = 5.1890091109993654777833809979268e-20 relative error = 5.5961678242993972896169406579577e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.282 Order of pole = 1225 TOP MAIN SOLVE Loop memory used=186.9MB, alloc=4.5MB, time=28.30 x[1] = 2.717 y[1] (analytic) = 0.092780825988725830710805969407007 y[1] (numeric) = 0.09278082598872583065876795027736 absolute error = 5.2038019129646677562110257773826e-20 relative error = 5.6087040156303442931872738609924e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.281 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.718 y[1] (analytic) = 0.092837373801515922909330193202002 y[1] (numeric) = 0.092837373801515922857143885172271 absolute error = 5.2186308029731110446405806505507e-20 relative error = 5.6212606941364136972011085851342e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.28 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.719 y[1] (analytic) = 0.092893973326981862730389826772247 y[1] (numeric) = 0.092893973326981862678054867971257 absolute error = 5.2334958800990334127635406082336e-20 relative error = 5.6338379042926770826096416869551e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.279 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.72 y[1] (analytic) = 0.09295062462819750148720999405116 y[1] (numeric) = 0.092950624628197501434726021613969 absolute error = 5.2483972437190804779506952038076e-20 relative error = 5.6464356906827355413984759280643e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.278 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.721 y[1] (analytic) = 0.093007327768332883642903573443841 y[1] (numeric) = 0.093007327768332883590270223508709 absolute error = 5.2633349935132203958069696057456e-20 relative error = 5.6590540979990177093673603892810e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.277 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.722 y[1] (analytic) = 0.09306408281065442290776120947571 y[1] (numeric) = 0.093064082810654422854978117181053 absolute error = 5.2783092294657625694689381099105e-20 relative error = 5.6716931710430787085513469169411e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.276 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.723 y[1] (analytic) = 0.093120889818525078712760141353786 y[1] (numeric) = 0.093120889818525078659826940835122 absolute error = 5.2933200518663800924097212767194e-20 relative error = 5.6843529547259000023382953756223e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.275 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.724 y[1] (analytic) = 0.093177748855404533060210715888372 y[1] (numeric) = 0.09317774885540453300712704027526 absolute error = 5.3083675613111359395791275308362e-20 relative error = 5.6970334940681901663488562587380e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.274 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.725 y[1] (analytic) = 0.093234659984849367752461977740225 y[1] (numeric) = 0.09323465998484936769922745915319 absolute error = 5.3234518587035129217703392099909e-20 relative error = 5.7097348342006865781562994489158e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.273 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.726 y[1] (analytic) = 0.093291623270513241999590263190596 y[1] (numeric) = 0.093291623270513241946204532738041 absolute error = 5.3385730452554474181681730907105e-20 relative error = 5.7224570203644580289348428140481e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.272 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.727 y[1] (analytic) = 0.093348638776147070406997264604838 y[1] (numeric) = 0.093348638776147070353459952379954 absolute error = 5.3537312224883669020979677753781e-20 relative error = 5.7352000979112082601364640634803e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.271 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.728 y[1] (analytic) = 0.093405706565599201343846581500589 y[1] (numeric) = 0.093405706565599201290157316578247 absolute error = 5.3689264922342312750584664277242e-20 relative error = 5.7479641123035804283075540639752e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.857 Order of pole = 7.681e-59 TOP MAIN SOLVE Loop x[1] = 2.729 y[1] (analytic) = 0.093462826702815595693270330664938 y[1] (numeric) = 0.093462826702815595639428741098573 absolute error = 5.3841589566365780241866746306493e-20 relative error = 5.7607491091154625011681898196829e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.269 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.73 y[1] (analytic) = 0.09351999925184000598527995211776 y[1] (numeric) = 0.093519999251840005931285664936245 absolute error = 5.3994287181515712183675810567106e-20 relative error = 5.7735551340322935880882707481300e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.6 Order of pole = 7.686e-59 TOP MAIN SOLVE Loop x[1] = 2.731 y[1] (analytic) = 0.093577224276814155913317919916799 y[1] (numeric) = 0.093577224276814155859170561121308 absolute error = 5.4147358795490543582668346407326e-20 relative error = 5.7863822328513712081062729298174e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.743 Order of pole = 1.201e-59 TOP MAIN SOLVE Loop memory used=190.7MB, alloc=4.5MB, time=28.88 x[1] = 2.732 y[1] (analytic) = 0.093634501841977920235389646870585 y[1] (numeric) = 0.093634501841977920181088841431449 absolute error = 5.4300805439136070956299774864464e-20 relative error = 5.7992304514821594986479328679210e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.266 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.733 y[1] (analytic) = 0.093691832011669505060717460194322 y[1] (numeric) = 0.093691832011669505006262832047866 absolute error = 5.4454628146456058372576392930477e-20 relative error = 5.8120998359465983681137751632454e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.265 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.734 y[1] (analytic) = 0.093749214850325628522861121038111 y[1] (numeric) = 0.093749214850325628468252293083488 absolute error = 5.4608827954622882491322081289734e-20 relative error = 5.8249904323794135955160475852976e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.264 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.735 y[1] (analytic) = 0.093806650422481701840251964663035 y[1] (numeric) = 0.093806650422481701785488558759047 absolute error = 5.4763405903988216762379053925886e-20 relative error = 5.8379022870284278803573225013708e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.263 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.736 y[1] (analytic) = 0.093864138792772010765090349865436 y[1] (numeric) = 0.093864138792772010710171986827343 absolute error = 5.4918363038093754936829112741597e-20 relative error = 5.8508354462548728459547657109870e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.262 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.737 y[1] (analytic) = 0.093921680025929897421558726080144 y[1] (numeric) = 0.093921680025929897366485025676462 absolute error = 5.5073700403681974047992124695380e-20 relative error = 5.8637899565337019994258626230078e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.261 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.738 y[1] (analytic) = 0.093979274186787942534305254456403 y[1] (numeric) = 0.093979274186787942479075835405696 absolute error = 5.5229419050706937019631778002853e-20 relative error = 5.8767658644539046515632276081539e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.26 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.739 y[1] (analytic) = 0.094036921340278148048155555122986 y[1] (numeric) = 0.094036921340278147992770035090641 absolute error = 5.5385520032345135059475112823030e-20 relative error = 5.8897632167188207998380054624876e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.259 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.74 y[1] (analytic) = 0.094094621551432120140012796868531 y[1] (numeric) = 0.094094621551432120084470792463525 absolute error = 5.5542004405006369996831875780362e-20 relative error = 5.9027820601464569777833044304338e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.258 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.741 y[1] (analytic) = 0.094152374885381252623908997586969 y[1] (numeric) = 0.094152374885381252568210124358624 absolute error = 5.5698873228344676723782431966308e-20 relative error = 5.9158224416698030740210783629114e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.257 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.742 y[1] (analytic) = 0.094210181407356910750173064103245 y[1] (numeric) = 0.094210181407356910694316936537976 absolute error = 5.5856127565269285900088798106343e-20 relative error = 5.9288844083371501242079015318285e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.256 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.743 y[1] (analytic) = 0.094268041182690615399683768429049 y[1] (numeric) = 0.094268041182690615343669999947093 absolute error = 5.6013768481955627082672351835837e-20 relative error = 5.9419680073124090791871535921980e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.255 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.744 y[1] (analytic) = 0.094325954276814227674178534129394 y[1] (numeric) = 0.094325954276814227618006737081538 absolute error = 5.6171797047856372441193940048558e-20 relative error = 5.9550732858754305526472543840663e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.254 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.745 y[1] (analytic) = 0.0943839207552601338835915913365 y[1] (numeric) = 0.094383920755260133827261377000787 absolute error = 5.6330214335712521221967469693080e-20 relative error = 5.9682002914223255515977589058493e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.253 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.746 y[1] (analytic) = 0.094441940683661430931397752055151 y[1] (numeric) = 0.094441940683661430874908730633587 absolute error = 5.6489021421564525123136632905428e-20 relative error = 5.9813490714657871929873420770525e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.252 Order of pole = 1225 memory used=194.5MB, alloc=4.5MB, time=29.47 TOP MAIN SOLVE Loop x[1] = 2.747 y[1] (analytic) = 0.094500014127752112098940758791643 y[1] (numeric) = 0.09450001412775211204229253940688 absolute error = 5.6648219384763454744746210773247e-20 relative error = 5.9945196736354134097999710511840e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.251 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.748 y[1] (analytic) = 0.094558141153367253229727869234412 y[1] (numeric) = 0.09455814115336725317292005992643 absolute error = 5.6807809307982207278044432202692e-20 relative error = 6.0077121456780306499778800493730e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.25 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.749 y[1] (analytic) = 0.094616321826443199314675057746707 y[1] (numeric) = 0.09461632182644319925770726546948 absolute error = 5.6967792277226755599061152262208e-20 relative error = 6.0209265354580185715323291732043e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.249 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.75 y[1] (analytic) = 0.094674556213017751479289940828402 y[1] (numeric) = 0.094674556213017751422161771446555 absolute error = 5.7128169381847438932218174049113e-20 relative error = 6.0341628909576357372155446339375e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.248 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.751 y[1] (analytic) = 0.094732844379230354373782268493533 y[1] (numeric) = 0.094732844379230354316493326778982 absolute error = 5.7288941714550295250442885691023e-20 relative error = 6.0474212602773463121397035179733e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.247 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.752 y[1] (analytic) = 0.094791186391322283967094566720862 y[1] (numeric) = 0.094791186391322283909644456349454 absolute error = 5.7450110371408435578974535764862e-20 relative error = 6.0607016916361477677413418094955e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.246 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.753 y[1] (analytic) = 0.094849582315636835745848267795276 y[1] (numeric) = 0.094849582315636835688236591343402 absolute error = 5.7611676451873460370773942486524e-20 relative error = 6.0740042333718995955021301260090e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.245 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.754 y[1] (analytic) = 0.094908032218619513319203425496625 y[1] (numeric) = 0.094908032218619513261429784437838 absolute error = 5.7773641058786918122172240874778e-20 relative error = 6.0873289339416530338495777073295e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.244 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.755 y[1] (analytic) = 0.09496653616681821743063288073865 y[1] (numeric) = 0.094966536166818217372696875440258 absolute error = 5.7936005298391806398122434189980e-20 relative error = 6.1006758419219818116738918508134e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.243 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.756 y[1] (analytic) = 0.095025094226883435377614520442558 y[1] (numeric) = 0.095025094226883435319515750162214 absolute error = 5.8098770280344115437149047844475e-20 relative error = 6.1140450060093139119099374235706e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.242 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.757 y[1] (analytic) = 0.095083706465568430840248058176776 y[1] (numeric) = 0.095083706465568430781986121059051 absolute error = 5.8261937117724414506826102316751e-20 relative error = 6.1274364750202643586460095254428e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.241 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.758 y[1] (analytic) = 0.09514237294972943411980555943525 y[1] (numeric) = 0.095142372949729434061380052508201 absolute error = 5.8425506927049481181351943102328e-20 relative error = 6.1408502978919690312339520450137e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.24 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.759 y[1] (analytic) = 0.095201093746325832788227737390829 y[1] (numeric) = 0.095201093746325832729638256562545 absolute error = 5.8589480828283973713531207215900e-20 relative error = 6.1542865236824195088880259662360e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.239 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.76 y[1] (analytic) = 0.095259868922420362749580856576741 y[1] (numeric) = 0.095259868922420362690826996631889 absolute error = 5.8753859944852146674219384124251e-20 relative error = 6.1677452015707989492728540678274e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.238 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.761 y[1] (analytic) = 0.095318698545179299714491902247624 y[1] (numeric) = 0.095318698545179299655573256843975 absolute error = 5.8918645403649610033034061229883e-20 relative error = 6.1812263808578190045937433348411e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.237 Order of pole = 1225 memory used=198.3MB, alloc=4.5MB, time=30.05 TOP MAIN SOLVE Loop x[1] = 2.762 y[1] (analytic) = 0.095377582681872651088582502181285 y[1] (numeric) = 0.09537758268187265102949866384623 absolute error = 5.9083838335055131854889047222215e-20 relative error = 6.1947301109660577787157131962411e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.236 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.763 y[1] (analytic) = 0.09543652139987434827592492543306 y[1] (numeric) = 0.095436521399874348216675485560117 absolute error = 5.9249439872942484787663157937460e-20 relative error = 6.2082564414402988288506368394240e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.235 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.764 y[1] (analytic) = 0.095495514766662439398546329076016 y[1] (numeric) = 0.095495514766662439339130877921324 absolute error = 5.9415451154692336517074546081090e-20 relative error = 6.2218054219478712153650345589916e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.234 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.765 y[1] (analytic) = 0.095554562849819282433010279282099 y[1] (numeric) = 0.095554562849819282373428405960894 absolute error = 5.9581873321204184365594075620135e-20 relative error = 6.2353771022789906032742426003173e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.233 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.766 y[1] (analytic) = 0.09561366571703173876510743725162 y[1] (numeric) = 0.095613665717031738705358729734711 absolute error = 5.9748707516908334212997401289586e-20 relative error = 6.2489715323471014190019184872186e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.986 Order of pole = 1.821e-59 TOP MAIN SOLVE Loop x[1] = 2.767 y[1] (analytic) = 0.095672823436091367163690173511276 y[1] (numeric) = 0.095672823436091367103774218621498 absolute error = 5.9915954889777923916925131012991e-20 relative error = 6.2625887621892200659971346071064e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.231 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.768 y[1] (analytic) = 0.095732036074894618174688756004313 y[1] (numeric) = 0.095732036074894618114605139412972 absolute error = 6.0083616591340991412593741739356e-20 relative error = 6.2762288419662792028146560971077e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.23 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.769 y[1] (analytic) = 0.095791303701443028936349648220806 y[1] (numeric) = 0.095791303701443028876097954444113 absolute error = 6.0251693776692587671576804966686e-20 relative error = 6.2898918219634730872773970627383e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.069 Order of pole = 2.862e-58 TOP MAIN SOLVE Loop x[1] = 2.77 y[1] (analytic) = 0.095850626383843418416739353391674 y[1] (numeric) = 0.095850626383843418356319165787167 absolute error = 6.0420187604506934700356574870672e-20 relative error = 6.3035777525906039903535010996823e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.228 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.771 y[1] (analytic) = 0.095910004190308083074560149527533 y[1] (numeric) = 0.095910004190308083013971050290483 absolute error = 6.0589099237049628760130117392385e-20 relative error = 6.3172866843824296833939982131478e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.227 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.772 y[1] (analytic) = 0.095969437189154992944326977853325 y[1] (numeric) = 0.095969437189154992883568548013135 absolute error = 6.0758429840189888990141930863172e-20 relative error = 6.3310186679990120023905507732336e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.226 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.773 y[1] (analytic) = 0.096028925448807988146957674002732 y[1] (numeric) = 0.09602892544880798808602949341932 absolute error = 6.0928180583412851617606445855011e-20 relative error = 6.3447737542260664929264163449809e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.225 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.774 y[1] (analytic) = 0.096088469037796975826831667223339 y[1] (numeric) = 0.096088469037796975765733314583507 absolute error = 6.1098352639831909938078912132456e-20 relative error = 6.3585519939753131395074253255979e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.224 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.775 y[1] (analytic) = 0.096148068024758127516375217835467 y[1] (numeric) = 0.096148068024758127455106270649266 absolute error = 6.1268947186201100250932002136072e-20 relative error = 6.3723534382848281829734965471649e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.223 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.776 y[1] (analytic) = 0.096207722478434076929234217315543 y[1] (numeric) = 0.096207722478434076867794251912615 absolute error = 6.1439965402927533935398001731666e-20 relative error = 6.3861781383193970297049946004724e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.222 Order of pole = 1225 memory used=202.1MB, alloc=4.5MB, time=30.63 TOP MAIN SOLVE Loop x[1] = 2.777 y[1] (analytic) = 0.096267432467674118183098538670002 y[1] (numeric) = 0.096267432467674118121487130195918 absolute error = 6.1611408474083875853442738496143e-20 relative error = 6.4000261453708682563520688451580e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.221 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.778 y[1] (analytic) = 0.096327198061434404453244897259337 y[1] (numeric) = 0.096327198061434404391461619671916 absolute error = 6.1783277587420869266547434158994e-20 relative error = 6.4138975108585087138290061347581e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.22 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.779 y[1] (analytic) = 0.096387019328778147057868163955477 y[1] (numeric) = 0.096387019328778146995912590021097 absolute error = 6.1955573934379907454288479655379e-20 relative error = 6.4277922863293597343295774455629e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.219 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.78 y[1] (analytic) = 0.096446896338875814976274063500637 y[1] (numeric) = 0.096446896338875814914145764790531 absolute error = 6.2128298710105652223422737348875e-20 relative error = 6.4417105234585944451333630992807e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.218 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.781 y[1] (analytic) = 0.096506829161005334801009191213902 y[1] (numeric) = 0.096506829161005334738707738100444 absolute error = 6.2301453113458699497007394224372e-20 relative error = 6.4556522740498761929871023566457e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.217 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.782 y[1] (analytic) = 0.096566817864552291125007290794749 y[1] (numeric) = 0.09656681786455229106253225244772 absolute error = 6.2475038347028292173908641209602e-20 relative error = 6.4696175900357180828592310785342e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.216 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.783 y[1] (analytic) = 0.096626862519010127364833754932439 y[1] (numeric) = 0.096626862519010127302184699315294 absolute error = 6.2649055617145080449882556332767e-20 relative error = 6.4836065234778436348799461503532e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.215 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.784 y[1] (analytic) = 0.096686963193980347021113338778743 y[1] (numeric) = 0.096686963193980346958289832644849 absolute error = 6.2823506133893929792244542340270e-20 relative error = 6.4976191265675485632933676930285e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.214 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.785 y[1] (analytic) = 0.096747119959172715377229114110809 y[1] (numeric) = 0.096747119959172715314230722999683 absolute error = 6.2998391111126776760980531960377e-20 relative error = 6.5116554516260636812626599896214e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.213 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.786 y[1] (analytic) = 0.096807332884405461637383739233572 y[1] (numeric) = 0.096807332884405461574210027467097 absolute error = 6.3173711766475532869993945585882e-20 relative error = 6.5257155511049189353833197913726e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.212 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.787 y[1] (analytic) = 0.096867602039605481505117176379145 y[1] (numeric) = 0.09686760203960548144176770705778 absolute error = 6.3349469321365036683027086244024e-20 relative error = 6.5397994775863085737742464829188e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.211 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.788 y[1] (analytic) = 0.096927927494808540203378054586707 y[1] (numeric) = 0.096927927494808540139852389585681 absolute error = 6.3525665001026054339644304910781e-20 relative error = 6.5539072837834574516306727368345e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.21 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.789 y[1] (analytic) = 0.096988309320159475937248951823094 y[1] (numeric) = 0.096988309320159475873546651788586 absolute error = 6.3702300034508328707516885198950e-20 relative error = 6.5680390225409884781375570269837e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.209 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.79 y[1] (analytic) = 0.09704874758591240380042895546433 y[1] (numeric) = 0.097048747585912403736549579809636 absolute error = 6.3879375654693677358106199998863e-20 relative error = 6.5821947468352912086566209540828e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.208 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.791 y[1] (analytic) = 0.097109242362430920126579955234581 y[1] (numeric) = 0.097109242362430920062523062136272 memory used=206.0MB, alloc=4.5MB, time=31.22 absolute error = 6.4056893098309139563702303676269e-20 relative error = 6.5963745097748915861148550222334e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.207 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.792 y[1] (analytic) = 0.097169793720188307286646227324457 y[1] (numeric) = 0.097169793720188307222411373718517 absolute error = 6.4234853605940172514639761938160e-20 relative error = 6.6105783646008228355370165500276e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.206 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.793 y[1] (analytic) = 0.097230401729767738933259982718268 y[1] (numeric) = 0.097230401729767738868846724296224 absolute error = 6.4413258422043896956381207574661e-20 relative error = 6.6248063646869975156794030634304e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.205 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.794 y[1] (analytic) = 0.097291066461862485693348676783121 y[1] (numeric) = 0.097291066461862485628756567988159 absolute error = 6.4592108794962392447031864190960e-20 relative error = 6.6390585635405807317370040604747e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.204 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.795 y[1] (analytic) = 0.097351787987276121310063010944775 y[1] (numeric) = 0.097351787987276121245291604967839 absolute error = 6.4771405976936042436725122082138e-20 relative error = 6.6533350148023645131110137215577e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.203 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.796 y[1] (analytic) = 0.097412566376922729235147700829643 y[1] (numeric) = 0.097412566376922729170196549605526 absolute error = 6.4951151224116929371200201008217e-20 relative error = 6.6676357722471433602386272267317e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.202 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.797 y[1] (analytic) = 0.097473401701827109672880238622685 y[1] (numeric) = 0.097473401701827109607748892826103 absolute error = 6.5131345796582280022778014337968e-20 relative error = 6.6819608897840909645020440969821e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.201 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.798 y[1] (analytic) = 0.097534294033124987076706040610939 y[1] (numeric) = 0.097534294033124987011394049652591 absolute error = 6.5311990958347961252830578498120e-20 relative error = 6.6963104214571381052486636654783e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.2 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.799 y[1] (analytic) = 0.09759524344206321809970154398603 y[1] (numeric) = 0.097595243442063218034208456008648 absolute error = 6.5493087977382026410732711649692e-20 relative error = 6.7106844214453517279695806738012e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.199 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.8 y[1] (analytic) = 0.09765625 y[1] (numeric) = 0.097656249999999999934325361874382 absolute error = 6.5674638125618312575182356885555e-20 relative error = 6.7250829440633152076986733450808e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.198 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.801 y[1] (analytic) = 0.097717313778405079502317903541481 y[1] (numeric) = 0.097717313778405079436461260862511 absolute error = 6.5856642678970088844677668984419e-20 relative error = 6.7395060437615098017098223799662e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.529 Order of pole = 1.515e-58 TOP MAIN SOLVE Loop x[1] = 2.802 y[1] (analytic) = 0.097778434848859962116723202157696 y[1] (numeric) = 0.097778434848859962050684099240353 absolute error = 6.6039102917343755884845040959293e-20 relative error = 6.7539537751266972956051074227904e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.196 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.803 y[1] (analytic) = 0.097839613283058121915789640526498 y[1] (numeric) = 0.097839613283058121849567620401846 absolute error = 6.6222020124652596941222538508266e-20 relative error = 6.7684261928823038469021979258814e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.195 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.804 y[1] (analytic) = 0.09790084915280521177128481941601 y[1] (numeric) = 0.097900849152805211704879423827179 absolute error = 6.6405395588830580527017778330478e-20 relative error = 6.7829233518888050302445882726329e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.194 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.805 y[1] (analytic) = 0.09796214253001927405154278129217 y[1] (numeric) = 0.097962142530019273984953550690323 absolute error = 6.6589230601846214996278151541971e-20 relative error = 6.7974453071441120883738227789423e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.193 Order of pole = 1225 TOP MAIN SOLVE Loop memory used=209.8MB, alloc=4.5MB, time=31.80 x[1] = 2.806 y[1] (analytic) = 0.098023493486730951780675177981257 y[1] (numeric) = 0.098023493486730951713901651521541 absolute error = 6.6773526459716455213834477660705e-20 relative error = 6.8119921137839593930184150534465e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.192 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.807 y[1] (analytic) = 0.098084902095083700260778329200199 y[1] (numeric) = 0.098084902095083700193820044737678 absolute error = 6.6958284462520661534306699487956e-20 relative error = 6.8265638270822931198697884364788e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.191 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.808 y[1] (analytic) = 0.098146368427333999158296744367184 y[1] (numeric) = 0.098146368427333999091153238452769 absolute error = 6.7143505914414611303392116470766e-20 relative error = 6.8411605024516611418312501339280e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.19 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.809 y[1] (analytic) = 0.098207892555851565055706953933918 y[1] (numeric) = 0.098207892555851564988377761810274 absolute error = 6.7329192123644563095592925679363e-20 relative error = 6.8557821954436041447417614946453e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.189 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.81 y[1] (analytic) = 0.09826947455311956446968878057409 y[1] (numeric) = 0.098269474553119564402173436171529 absolute error = 6.7515344402561373903480517383407e-20 relative error = 6.8704289617490479697920809294529e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.188 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.811 y[1] (analytic) = 0.098331114491734827336954474955606 y[1] (numeric) = 0.098331114491734827269252510887971 absolute error = 6.7701964067634669494539078488125e-20 relative error = 6.8851008571986971868667345182133e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.187 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.812 y[1] (analytic) = 0.098392812444408060968909445552566 y[1] (numeric) = 0.098392812444408060901020393113099 absolute error = 6.7889052439467068152580614040270e-20 relative error = 6.8997979377634299030612126822249e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.186 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.813 y[1] (analytic) = 0.098454568483964064476321627052322 y[1] (numeric) = 0.098454568483964064408245016209514 absolute error = 6.8076610842808458021677526997741e-20 relative error = 6.9145202595546938106397996971272e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.37 Order of pole = 9.293e-59 TOP MAIN SOLVE Loop x[1] = 2.814 y[1] (analytic) = 0.09851638268334194366517985741921 y[1] (numeric) = 0.098516382683341943596915216812639 absolute error = 6.8264640606570328271517421958311e-20 relative error = 6.9292678788249034787155165726035e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.184 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.815 y[1] (analytic) = 0.098578255115595326404924969625575 y[1] (numeric) = 0.098578255115595326336471826561735 absolute error = 6.8453143063840154304047842165036e-20 relative error = 6.9440408519678388929497972168662e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.183 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.816 y[1] (analytic) = 0.098640185853892578470240650488624 y[1] (numeric) = 0.098640185853892578401598530936728 absolute error = 6.8642119551895837222246233572203e-20 relative error = 6.9588392355190452475857231249736e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.182 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.817 y[1] (analytic) = 0.098702174971517019857594475994595 y[1] (numeric) = 0.098702174971517019788762904582374 absolute error = 6.8831571412220197782822577911121e-20 relative error = 6.9736630861562339941449133705816e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.181 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.818 y[1] (analytic) = 0.098764222541867141577722899986213 y[1] (numeric) = 0.098764222541867141508701399995697 absolute error = 6.9021499990515525055638871506966e-20 relative error = 6.9885124606996851511345047322810e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.18 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.819 y[1] (analytic) = 0.098826328638456822925257351171749 y[1] (numeric) = 0.098826328638456822856045444535031 absolute error = 6.9211906636718180013610971156257e-20 relative error = 7.0033874161126508791270616410806e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.179 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.82 y[1] (analytic) = 0.09888849333491554922669198212096 y[1] (numeric) = 0.098888493334915549157289189415947 absolute error = 6.9402792705013254277844305893044e-20 relative error = 7.0182880095017603255927275891281e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.178 Order of pole = 1225 TOP MAIN SOLVE Loop memory used=213.6MB, alloc=4.5MB, time=32.38 x[1] = 2.821 y[1] (analytic) = 0.098950716704988630067897013281462 y[1] (numeric) = 0.098950716704988629998302853727613 absolute error = 6.9594159553849284243745587288349e-20 relative error = 7.0332142981174257438794689870514e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.177 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.822 y[1] (analytic) = 0.099012998822537418002385025115637 y[1] (numeric) = 0.099012998822537417932599016569684 absolute error = 6.9786008545953020814847964504646e-20 relative error = 7.0481663393542498907538694954014e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.496 Order of pole = 1.236e-59 TOP MAIN SOLVE Loop x[1] = 2.823 y[1] (analytic) = 0.099075339761539527741540972259995 y[1] (numeric) = 0.09907533976153952767156263121165 absolute error = 6.9978341048344254972087087253615e-20 relative error = 7.0631441907514347069316078830244e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.175 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.824 y[1] (analytic) = 0.099137739596089055828030125183207 y[1] (numeric) = 0.099137739596089055757858966750856 absolute error = 7.0171158432350699407270283796010e-20 relative error = 7.0781479099931912850434957816354e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.174 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.825 y[1] (analytic) = 0.099200198400396800793601587203174 y[1] (numeric) = 0.099200198400396800723237125129551 absolute error = 7.0364462073622926450490556018962e-20 relative error = 7.0931775549091511294997636126865e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.173 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.826 y[1] (analytic) = 0.099262716248790483802508487954866 y[1] (numeric) = 0.099262716248790483731950234602717 absolute error = 7.0558253352149362522251363398338e-20 relative error = 7.1082331834747787127321637625116e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.172 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.827 y[1] (analytic) = 0.099325293215714969781769418516956 y[1] (numeric) = 0.099325293215714969711016884864685 absolute error = 7.0752533652271339342087236399998e-20 relative error = 7.1233148538117853323104100788139e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.171 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.828 y[1] (analytic) = 0.099387929375732489039499148444221 y[1] (numeric) = 0.099387929375732488968551844081523 absolute error = 7.0947304362698202126489151821536e-20 relative error = 7.1384226241885442734464922614113e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.17 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.829 y[1] (analytic) = 0.099450624803522859372540150952125 y[1] (numeric) = 0.099450624803522859301397584075603 absolute error = 7.1142566876522475009972342082845e-20 relative error = 7.1535565530205072814174930297745e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.169 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.83 y[1] (analytic) = 0.099513379573883708664629959498055 y[1] (numeric) = 0.099513379573883708593291636906819 absolute error = 7.1338322591235083924157822027889e-20 relative error = 7.1687166988706223484546953777605e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.168 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.831 y[1] (analytic) = 0.099576193761730697976342887038476 y[1] (numeric) = 0.099576193761730697904808314129735 absolute error = 7.1534572908740637170777425021111e-20 relative error = 7.1839031204497528196639970819743e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.167 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.832 y[1] (analytic) = 0.099639067442097745128048158351189 y[1] (numeric) = 0.099639067442097745056316839115816 absolute error = 7.1731319235372763925555569761965e-20 relative error = 7.1991158766170978225599502257870e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.166 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.833 y[1] (analytic) = 0.099702000690137248777130036035294 y[1] (numeric) = 0.099702000690137248705201473053385 absolute error = 7.1928562981909510910969355184989e-20 relative error = 7.2143550263806140248131151490701e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.165 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.834 y[1] (analytic) = 0.099764993581120312990719062177136 y[1] (numeric) = 0.099764993581120312918592756613547 absolute error = 7.2126305563588797476941928079424e-20 relative error = 7.2296206288974387248278612485208e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.164 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.835 y[1] (analytic) = 0.099828046190436972315187090237067 y[1] (numeric) = 0.099828046190436972242862541836943 absolute error = 7.2324548400123929329582411804719e-20 relative error = 7.2449127434743142797852617509053e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.163 Order of pole = 1225 TOP MAIN SOLVE Loop memory used=217.4MB, alloc=4.5MB, time=32.96 x[1] = 2.836 y[1] (analytic) = 0.099891158593596417343662345508334 y[1] (numeric) = 0.099891158593596417271139052592615 absolute error = 7.2523292915719171149149049984843e-20 relative error = 7.2602314295680138758033162789707e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.549 Order of pole = 9.929e-59 TOP MAIN SOLVE Loop x[1] = 2.837 y[1] (analytic) = 0.099954330866227220782824327564736 y[1] (numeric) = 0.09995433086622722071010178702565 absolute error = 7.2722540539085378339480631759587e-20 relative error = 7.2755767467857686448843940460238e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.691 Order of pole = 1.142e-58 TOP MAIN SOLVE Loop x[1] = 2.838 y[1] (analytic) = 0.10001756308407756402024195448721 y[1] (numeric) = 0.10001756308407756394731966178375 absolute error = 7.2922292703455688152214750616295e-20 relative error = 7.2909487548856961333375221706087e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.16 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.839 y[1] (analytic) = 0.10008085532301546419352194638048 y[1] (numeric) = 0.10008085532301546412039939553388 absolute error = 7.3122550846601270430190032719566e-20 relative error = 7.3063475137772301263809482192132e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.159 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.84 y[1] (analytic) = 0.10014420765902900176253805479891 y[1] (numeric) = 0.10014420765902900168921473838806 absolute error = 7.3323316410847138215513178836686e-20 relative error = 7.3217730835215518336482839859161e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.158 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.841 y[1] (analytic) = 0.10020762016822654858601536523523 y[1] (numeric) = 0.10020762016822654851249077439214 absolute error = 7.3524590843088018468860522399236e-20 relative error = 7.3372255243320224403394890282877e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.3294 Order of pole = 2.85e-60 TOP MAIN SOLVE Loop x[1] = 2.842 y[1] (analytic) = 0.10027109292683699650374753182705 y[1] (numeric) = 0.10027109292683699643002115623224 absolute error = 7.3726375594804283147677841062942e-20 relative error = 7.3527048965746170287759779251844e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.156 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.843 y[1] (analytic) = 0.1003346260112099864257284469434 y[1] (numeric) = 0.10033462601120998635179977482132 absolute error = 7.3928672122077940892041396585362e-20 relative error = 7.3682112607683598751372349323610e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.155 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.844 y[1] (analytic) = 0.10039821949781613792948350336776 y[1] (numeric) = 0.10039821949781613785535202148215 absolute error = 7.4131481885608689568047644333266e-20 relative error = 7.3837446775857611261744940156782e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.154 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.845 y[1] (analytic) = 0.10046187346324727936688927343462 y[1] (numeric) = 0.10046187346324727929255446708389 absolute error = 7.4334806350730029919708775799490e-20 relative error = 7.3993052078532548607152914702752e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.153 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.846 y[1] (analytic) = 0.10052558798421667848177410774493 y[1] (numeric) = 0.10052558798421667840723546075751 absolute error = 7.4538646987425440581446261836910e-20 relative error = 7.4148929125516385407910228201522e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.152 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.847 y[1] (analytic) = 0.10058936313755927353959584602142 y[1] (numeric) = 0.10058936313755927346485284075108 absolute error = 7.4743005270344614704394877733193e-20 relative error = 7.4305078528165138572380357705067e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.151 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.848 y[1] (analytic) = 0.10065319900023190497049653430905 y[1] (numeric) = 0.10065319900023190489554865163023 absolute error = 7.4947882678819758450855340727181e-20 relative error = 7.4461500899387289746412669907998e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.15 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.849 y[1] (analytic) = 0.1007170956493135475270377561198 y[1] (numeric) = 0.10071709564931354745188447542292 absolute error = 7.5153280696881951612364703224834e-20 relative error = 7.4618196853648221805079827774344e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.149 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.85 y[1] (analytic) = 0.10078105316200554295792391030486 y[1] (numeric) = 0.10078105316200554288256470949159 absolute error = 7.5359200813277570607990048074776e-20 relative error = 7.4775167006974669435778125202197e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.148 Order of pole = 1225 TOP MAIN SOLVE Loop memory used=221.2MB, alloc=4.5MB, time=33.54 x[1] = 2.851 y[1] (analytic) = 0.10084507161563183319902450545325 y[1] (numeric) = 0.10084507161563183312345886093176 absolute error = 7.5565644521484774120592853223143e-20 relative error = 7.4932411976959183861939697172419e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.147 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.852 y[1] (analytic) = 0.10090915108763919408301028950432 y[1] (numeric) = 0.10090915108763919400723767618459 absolute error = 7.5772613319730051629958659445275e-20 relative error = 7.5089932382764611756793383907136e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.146 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.853 y[1] (analytic) = 0.10097329165559746956892179406517 y[1] (numeric) = 0.10097329165559746949294168535417 absolute error = 7.5980108711004835102839414357492e-20 relative error = 7.5247728845128588396799634958558e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.145 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.854 y[1] (analytic) = 0.10103749339719980649299264568293 y[1] (numeric) = 0.10103749339719980641680451347985 absolute error = 7.6188132203082174101114106405283e-20 relative error = 7.5405801986368045104574226315071e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.144 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.855 y[1] (analytic) = 0.10110175639026288984205378107931 y[1] (numeric) = 0.10110175639026288976565709577078 absolute error = 7.6396685308533474570437072014931e-20 relative error = 7.5564152430383731031305734022648e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.143 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.856 y[1] (analytic) = 0.10116608071272717855084850015215 y[1] (numeric) = 0.10116608071272717847424273060741 absolute error = 7.6605769544745301572912685745800e-20 relative error = 7.5722780802664749328862664964820e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.142 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.857 y[1] (analytic) = 0.10123046644265714182459209942775 y[1] (numeric) = 0.10123046644265714174777671299382 absolute error = 7.6815386433936246228510055404463e-20 relative error = 7.5881687730293107761977892830016e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.141 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.858 y[1] (analytic) = 0.10129491365824149598811364965169 y[1] (numeric) = 0.10129491365824149591108811214851 absolute error = 7.7025537503173857131111870147175e-20 relative error = 7.6040873841948283811090588443962e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.14 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.859 y[1] (analytic) = 0.10135942243779344186292131437628 y[1] (numeric) = 0.10135942243779344178568509009189 absolute error = 7.7236224284391636506277718225765e-20 relative error = 7.6200339767911804316619172096693e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.139 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.86 y[1] (analytic) = 0.10142399285975090267353645178303 y[1] (numeric) = 0.10142399285975090259608900346863 absolute error = 7.7447448314406101378994031000721e-20 relative error = 7.6360086140071839715632954805471e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.138 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.861 y[1] (analytic) = 0.10148862500267676248444559961053 y[1] (numeric) = 0.10148862500267676240678638847559 absolute error = 7.7659211134933910020880350087015e-20 relative error = 7.6520113591927812922085079199974e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.137 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.862 y[1] (analytic) = 0.10155331894525910516902331298611 y[1] (numeric) = 0.1015533189452591050911517986935 absolute error = 7.7871514292609053947524884102790e-20 relative error = 7.6680422758595022901965122485507e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.136 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.863 y[1] (analytic) = 0.10161807476631145391178270722542 y[1] (numeric) = 0.10161807476631145383369834788642 absolute error = 7.8084359339000115737831349706080e-20 relative error = 7.6841014276809282994926287341575e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.135 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.864 y[1] (analytic) = 0.10168289254477301124531445231154 y[1] (numeric) = 0.10168289254477301116701670448091 absolute error = 7.8297747830627592948473907836407e-20 relative error = 7.7001888784931574034139485272152e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.134 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.865 y[1] (analytic) = 0.10174777235970889962327887283818 y[1] (numeric) = 0.1017477723597088995447671915092 absolute error = 7.8511681328981288397777639892303e-20 relative error = 7.7163046922952712316324814483053e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.133 Order of pole = 1225 memory used=225.0MB, alloc=4.5MB, time=34.12 TOP MAIN SOLVE Loop x[1] = 2.866 y[1] (analytic) = 0.10181271429031040253081972674282 y[1] (numeric) = 0.10181271429031040245209356534228 absolute error = 7.8726161400537767094568489698909e-20 relative error = 7.7324489332498032474109954480914e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.132 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.867 y[1] (analytic) = 0.10187771841589520613377216820949 y[1] (numeric) = 0.10187771841589520605483097859271 absolute error = 7.8941189616777880088768955439650e-20 relative error = 7.7486216656832085303064845945046e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.131 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.868 y[1] (analytic) = 0.10194278481590764146804134473135 y[1] (numeric) = 0.10194278481590764138888457717715 absolute error = 7.9156767554204355521754081292603e-20 relative error = 7.7648229540863350595962700712961e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.13 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.869 y[1] (analytic) = 0.10200791356991892717053203553425 y[1] (numeric) = 0.10200791356991892709115913873989 absolute error = 7.9372896794359457155726501539321e-20 relative error = 7.7810528631148965037018896655671e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.129 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.87 y[1] (analytic) = 0.10207310475762741275301370841797 y[1] (numeric) = 0.10207310475762741267342412949413 absolute error = 7.9589578923842710662619460778927e-20 relative error = 7.7973114575899465209061659530507e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.128 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.871 y[1] (analytic) = 0.10213835845885882242030935461733 y[1] (numeric) = 0.102138358458858822340502539083 absolute error = 7.9806815534328697954292903126502e-20 relative error = 7.8135988024983545766791622335936e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.127 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.872 y[1] (analytic) = 0.10220367475356649943420045656426 y[1] (numeric) = 0.10220367475356649935417584834167 absolute error = 8.0024608222584919837049921610898e-20 relative error = 7.8299149629932832829491386021093e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.126 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.873 y[1] (analytic) = 0.10226905372183165102444445148965 y[1] (numeric) = 0.10226905372183165094420149289916 absolute error = 8.0242958590489727274769117289523e-20 relative error = 7.8462600043946672646751087407308e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.125 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.874 y[1] (analytic) = 0.10233449544386359384830507468576 y[1] (numeric) = 0.10233449544386359376784320644071 absolute error = 8.0461868245050321546222766910358e-20 relative error = 7.8626339921896935590981714662492e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.124 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.875 y[1] (analytic) = 0.1024 y[1] (numeric) = 0.10239999999999999991931866120158 absolute error = 8.0681338798420823583431169487864e-20 relative error = 7.8790369920332835530694501452992e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.123 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.876 y[1] (analytic) = 0.10246556747070714357147424179579 y[1] (numeric) = 0.10246556747070714349057286992787 absolute error = 8.0901371867920412779190167302645e-20 relative error = 7.8954690697485764638732181820942e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.122 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.877 y[1] (analytic) = 0.10253119793658014776591184224058 y[1] (numeric) = 0.10253119793658014768478987316453 absolute error = 8.1121969076051535553201647139063e-20 relative error = 7.9119302913274143689846202755976e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.121 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.878 y[1] (analytic) = 0.1025968914783432325654024404107 y[1] (numeric) = 0.10259689147834323248405930836018 absolute error = 8.1343132050518183967535854766545e-20 relative error = 7.9284207229308287902223174225036e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.12 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.879 y[1] (analytic) = 0.10266264817684996295418340538369 y[1] (numeric) = 0.10266264817684996287261854295945 absolute error = 8.1564862424244244683459631648334e-20 relative error = 7.9449404308895288377773890987866e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.119 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.88 y[1] (analytic) = 0.10272846811308349769888231426693 y[1] (numeric) = 0.10272846811308349761709515243154 absolute error = 8.1787161835391918552976239698908e-20 relative error = 7.9614894817043909196209190772505e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.118 Order of pole = 1225 memory used=228.8MB, alloc=4.5MB, time=34.70 TOP MAIN SOLVE Loop x[1] = 2.881 y[1] (analytic) = 0.10279435136815683868718866803294 y[1] (numeric) = 0.10279435136815683860517863610556 absolute error = 8.2010031927380211139740309856464e-20 relative error = 7.9780679420469500218138723247356e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.117 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.882 y[1] (analytic) = 0.10286029802331308082638786314314 y[1] (numeric) = 0.10286029802331308074415438879424 absolute error = 8.2233474348903494465335665713583e-20 relative error = 7.9946758787598925652641397655686e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.116 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.883 y[1] (analytic) = 0.10292630815992566250319457528951 y[1] (numeric) = 0.10292630815992566242073708453556 absolute error = 8.2457490753950140278234367058763e-20 relative error = 8.0113133588575508444969857945479e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.115 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.884 y[1] (analytic) = 0.10299238185949861660632686321458 y[1] (numeric) = 0.10299238185949861652364478041276 absolute error = 8.2682082801821225144092322702717e-20 relative error = 8.0279804495263990540265806721983e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.114 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.885 y[1] (analytic) = 0.10305851920366682211326646553079 y[1] (numeric) = 0.10305851920366682203035921337364 absolute error = 8.2907252157149307657380270354576e-20 relative error = 8.0446772181255509079378367381128e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.113 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.886 y[1] (analytic) = 0.10312472027419625624265494179847 y[1] (numeric) = 0.10312472027419625615952194130855 absolute error = 8.3133000489917278075698846712400e-20 relative error = 8.0614037321872588583093941377476e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.219 Order of pole = 9.222e-59 TOP MAIN SOLVE Loop x[1] = 2.887 y[1] (analytic) = 0.10319098515298424717377950088378 y[1] (numeric) = 0.1031909851529842470904201714083 absolute error = 8.3359329475477280679482906659109e-20 relative error = 8.0781600594174149181303188788199e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.111 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.888 y[1] (analytic) = 0.1032573139220597273346065648522 y[1] (numeric) = 0.10325731392205972725102032405763 absolute error = 8.3586240794569709161163230010594e-20 relative error = 8.0949462676960530943848839221972e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.11 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.889 y[1] (analytic) = 0.10332370666358348725982533540683 y[1] (numeric) = 0.10332370666358348717601159927349 absolute error = 8.3813736133342275349223311332078e-20 relative error = 8.1117624250778534370017030775479e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.109 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.89 y[1] (analytic) = 0.10339016345984843002036786220159 y[1] (numeric) = 0.10339016345984842993632604501822 absolute error = 8.4041817183369151573965096790727e-20 relative error = 8.1286085997926477093854781266959e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.108 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.891 y[1] (analytic) = 0.10345668439327982622587635829574 y[1] (numeric) = 0.10345668439327982614160587265407 absolute error = 8.4270485641670186983180345901585e-20 relative error = 8.1454848602459266862717022502356e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.107 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.892 y[1] (analytic) = 0.10352326954643556960159276761593 y[1] (numeric) = 0.1035232695464355695170930244052 absolute error = 8.4499743210730198117313789590746e-20 relative error = 8.1623912750193490846668379001331e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.106 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.893 y[1] (analytic) = 0.10358991900200643314114986260351 y[1] (numeric) = 0.10358991900200643305642027100499 absolute error = 8.4729591598518334055100463672769e-20 relative error = 8.1793279128712521336587551594143e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.105 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.894 y[1] (analytic) = 0.10365663284281632583674743729707 y[1] (numeric) = 0.10365663284281632575178740477856 absolute error = 8.4960032518507516442062553235514e-20 relative error = 8.1962948427371637889045777782557e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.104 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.895 y[1] (analytic) = 0.10372341115182254998820146198148 y[1] (numeric) = 0.10372341115182254990301039429179 absolute error = 8.5191067689693954715660823351502e-20 relative error = 8.2132921337303165976255388945242e-17 % Correct digits = 18 h = 0.001 memory used=232.7MB, alloc=4.5MB, time=35.28 Real estimate of pole used for equation 1 Radius of convergence = 3.103 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.896 y[1] (analytic) = 0.10379025401211605909235838027421 y[1] (numeric) = 0.10379025401211605900693568143759 absolute error = 8.5422698836616736842312269987943e-20 relative error = 8.2303198551421632199609973587615e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.102 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.897 y[1] (analytic) = 0.10385716150692171631437105816635 y[1] (numeric) = 0.10385716150692171622871613047697 absolute error = 8.5654927689377495882909037157138e-20 relative error = 8.2473780764428936125564090135255e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.101 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.898 y[1] (analytic) = 0.10392413371959855354233723713949 y[1] (numeric) = 0.10392413371959855345644948115583 absolute error = 8.5887755983660152704903947617302e-20 relative error = 8.2644668672819538802827856516852e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.1 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.899 y[1] (analytic) = 0.10399117073364003102680570008884 y[1] (numeric) = 0.10399117073364003094068451462809 absolute error = 8.6121185460750735160465220377500e-20 relative error = 8.2815862974885668020080081265934e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.099 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.9 y[1] (analytic) = 0.10405827263267429760665972944849 y[1] (numeric) = 0.10405827263267429752030451158093 absolute error = 8.6355217867557274051647134651095e-20 relative error = 8.2987364370722540363632896399703e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.098 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.901 y[1] (analytic) = 0.10412543950046445152289182168602 y[1] (numeric) = 0.10412543950046445143630196672939 absolute error = 8.6589854956629776204974582708007e-20 relative error = 8.3159173562233600134711110238574e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.097 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.902 y[1] (analytic) = 0.10419267142090880182178802126031 y[1] (numeric) = 0.10419267142090880173496292277413 absolute error = 8.6825098486180274979297669462873e-20 relative error = 8.3331291253135775186240722962754e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.096 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.903 y[1] (analytic) = 0.10425996847804113034904465026984 y[1] (numeric) = 0.10425996847804113026198370004974 absolute error = 8.7060950220102958532237800968327e-20 relative error = 8.3503718148964749739273243434782e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.009 Order of pole = 8.986e-59 TOP MAIN SOLVE Loop x[1] = 2.904 y[1] (analytic) = 0.10432733075603095433634463740828 y[1] (numeric) = 0.10432733075603095424904722548028 absolute error = 8.7297411927994376172019093824243e-20 relative error = 8.3676454957080254239405617042963e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.094 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.905 y[1] (analytic) = 0.10439475833918378958192509154115 y[1] (numeric) = 0.10439475833918378949439060615598 absolute error = 8.7534485385173723122958469630265e-20 relative error = 8.3849502386671372313789725455005e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.093 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.906 y[1] (analytic) = 0.10446225131194141422667222127278 y[1] (numeric) = 0.10446225131194141413890004890007 absolute error = 8.7772172372703204034374509967660e-20 relative error = 8.4022861148761864889560554650077e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.092 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.907 y[1] (analytic) = 0.10452980975888213312728417233662 y[1] (numeric) = 0.10452980975888213303927369765922 absolute error = 8.8010474677408475564169075168317e-20 relative error = 8.4196531956215511534748251878990e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.091 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.908 y[1] (analytic) = 0.10459743376472104282804683956762 y[1] (numeric) = 0.10459743376472104273979744547572 absolute error = 8.8249394091899168369836871688926e-20 relative error = 8.4370515523741469082976409765460e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.09 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.909 y[1] (analytic) = 0.10466512341431029713277220965136 y[1] (numeric) = 0.10466512341431029704428327723677 absolute error = 8.8488932414589488841166625838117e-20 relative error = 8.4544812567899647603487031107923e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.089 Order of pole = 1225 TOP MAIN SOLVE Loop memory used=236.5MB, alloc=4.6MB, time=35.86 x[1] = 2.91 y[1] (analytic) = 0.10473287879263937327845330484599 y[1] (numeric) = 0.10473287879263937318972421339627 absolute error = 8.8729091449718900910413323691623e-20 relative error = 8.4719423807106103778271745593998e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.088 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.911 y[1] (analytic) = 0.10480069998483533871219432648835 y[1] (numeric) = 0.10480069998483533862322445348097 absolute error = 8.8969873007372888277244146271605e-20 relative error = 8.4894349961638451748328974143610e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.087 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.912 y[1] (analytic) = 0.10486858707616311847297914037961 y[1] (numeric) = 0.1048685870761631183837678614761 absolute error = 8.9211278903503797387291303666590e-20 relative error = 8.5069591753641291491307872519086e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.086 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.913 y[1] (analytic) = 0.10493654015202576317984580414917 y[1] (numeric) = 0.10493654015202576309039249318922 absolute error = 8.9453310959951761504682990144251e-20 relative error = 8.5245149907131654793042037770596e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.085 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.914 y[1] (analytic) = 0.10500455929796471762803940947116 y[1] (numeric) = 0.10500455929796471753834343846669 absolute error = 8.9695971004465706220469183088384e-20 relative error = 8.5421025148004468875719133634718e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.084 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.915 y[1] (analytic) = 0.10507264459966008999472009960887 y[1] (numeric) = 0.10507264459966008990478083873814 absolute error = 8.9939260870724436740412030614899e-20 relative error = 8.5597218204038037745676788806888e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.083 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.916 y[1] (analytic) = 0.10514079614293092165580772524102 y[1] (numeric) = 0.10514079614293092156562454284267 absolute error = 9.0183182398357807297171155044763e-20 relative error = 8.5773729804899541324060349721543e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.082 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.917 y[1] (analytic) = 0.10520901401373545761554921893354 y[1] (numeric) = 0.10520901401373545752512148150057 absolute error = 9.0427737432967973033482381305395e-20 relative error = 8.5950560682150552423824331776345e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.081 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.918 y[1] (analytic) = 0.10527729829817141755039940101428 y[1] (numeric) = 0.10527729829817141745972647318813 absolute error = 9.0672927826150724704504220283683e-20 relative error = 8.6127711569252571636806714530991e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.08 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.919 y[1] (analytic) = 0.10534564908247626746881057704027 y[1] (numeric) = 0.10534564908247626737789182160476 absolute error = 9.0918755435516906549089936869286e-20 relative error = 8.6305183201572580194853572021785e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.079 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.92 y[1] (analytic) = 0.10541406645302749198853094956991 y[1] (numeric) = 0.1054140664530274918973657274452 absolute error = 9.1165222124713917681334250831186e-20 relative error = 8.6482976316388610869220923708497e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.078 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.921 y[1] (analytic) = 0.1054825504963428672330165446216 y[1] (numeric) = 0.10548255049634286714160421485815 absolute error = 9.1412329763447297355342695909391e-20 relative error = 8.6661091652895336972731139481074e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.077 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.922 y[1] (analytic) = 0.10555110129908073434856604606841 y[1] (numeric) = 0.10555110129908073425690596584091 absolute error = 9.1660080227502394457778438944721e-20 relative error = 8.6839529952209679529412738395116e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.076 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.923 y[1] (analytic) = 0.10561971894804027364379263934066 y[1] (numeric) = 0.1056197189480402735518841639419 absolute error = 9.1908475398766121584355977103694e-20 relative error = 8.7018291957376432676604990194340e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.075 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.924 y[1] (analytic) = 0.10568840353016177935305168923889 y[1] (numeric) = 0.10568840353016177926089417207364 absolute error = 9.2157517165248794058073628097966e-20 relative error = 8.7197378413373907364762366057026e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.074 Order of pole = 1225 TOP MAIN SOLVE Loop memory used=240.3MB, alloc=4.6MB, time=36.44 x[1] = 2.925 y[1] (analytic) = 0.10575715513252693502544781545376 y[1] (numeric) = 0.10575715513252693493304060803266 absolute error = 9.2407207421106054248607146789826e-20 relative error = 8.7376790067119593420448595236455e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.073 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.926 y[1] (analytic) = 0.1058259738423590895410496836015 y[1] (numeric) = 0.10582597384235908944839213553484 absolute error = 9.2657548066660881553925182985233e-20 relative error = 8.7556527667475840038265872241456e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.072 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.927 y[1] (analytic) = 0.10589485974702353375594559926907 y[1] (numeric) = 0.10589485974702353366303705826065 absolute error = 9.2908541008425688406833681040793e-20 relative error = 8.7736591965255554767721629834927e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.071 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.928 y[1] (analytic) = 0.10596381293402777777777777777778 y[1] (numeric) = 0.10596381293402777768461758961865 absolute error = 9.3160188159124502670810753877505e-20 relative error = 8.7916983713227921061293251352073e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.07 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.929 y[1] (analytic) = 0.10603283349102182887339796317289 y[1] (numeric) = 0.10603283349102182877998547173517 absolute error = 9.3412491437715236791156084060104e-20 relative error = 8.8097703666124134450210146617029e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.246 Order of pole = 1.549e-58 TOP MAIN SOLVE Loop x[1] = 2.93 y[1] (analytic) = 0.10610192150579847001029188638606 y[1] (numeric) = 0.10610192150579846991662643361665 absolute error = 9.3665452769412044069149554956768e-20 relative error = 8.8278752580643157414732764051205e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.068 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.931 y[1] (analytic) = 0.10617107706629353903342488465309 y[1] (numeric) = 0.10617107706629353893950581056738 absolute error = 9.3919074085707762428592638064285e-20 relative error = 8.8460131215457493015969362428701e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.067 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.932 y[1] (analytic) = 0.1062403002605862084791658521577 y[1] (numeric) = 0.1062403002605862083849924948333 absolute error = 9.4173357324396446045793101028073e-20 relative error = 8.8641840331218977356533724177126e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.066 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.933 y[1] (analytic) = 0.10630959117689926602795155556978 y[1] (numeric) = 0.10630959117689926593352325114018 absolute error = 9.4428304429595985215748897601159e-20 relative error = 8.8823880690564590937610463204742e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.065 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.934 y[1] (analytic) = 0.10637894990359939559735822770967 y[1] (numeric) = 0.1063789499035993955026743103579 absolute error = 9.4683917351770814828990698905620e-20 relative error = 8.9006253058122288980259169040164e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.064 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.935 y[1] (analytic) = 0.10644837652919745907725224805665 y[1] (numeric) = 0.1064483765291974589823120500089 absolute error = 9.4940198047754711835254468258003e-20 relative error = 8.9188958200516850779054340707104e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.063 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.936 y[1] (analytic) = 0.10651787114234877870869663028584 y[1] (numeric) = 0.10651787114234877861349948180507 absolute error = 9.5197148480773682071875813111552e-20 relative error = 8.9371996886375748156424903356930e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.062 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.937 y[1] (analytic) = 0.10658743383185342010829496452184 y[1] (numeric) = 0.10658743383185342001284019390137 absolute error = 9.5454770620468936836526611209683e-20 relative error = 8.9555369886335033086325073404430e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.061 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.938 y[1] (analytic) = 0.10665706468665647593965940559591 y[1] (numeric) = 0.10665706468665647584394633915299 absolute error = 9.5713066442919959585651647937765e-20 relative error = 8.9739077973045244556137448940741e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.06 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.939 y[1] (analytic) = 0.10672676379584835023369425834558 y[1] (numeric) = 0.10672676379584835013772222041491 absolute error = 9.5972037930667663141708762449703e-20 relative error = 8.9923121921177334735979456740900e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.059 Order of pole = 1225 TOP MAIN SOLVE Loop memory used=244.1MB, alloc=4.6MB, time=37.02 x[1] = 2.94 y[1] (analytic) = 0.10679653124866504335939168695801 y[1] (numeric) = 0.10679653124866504326315999988527 absolute error = 9.6231687072737637794070326024599e-20 relative error = 9.0107502507428614524855690476394e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.075 Order of pole = 3.065e-59 TOP MAIN SOLVE Loop x[1] = 2.941 y[1] (analytic) = 0.10686636713448843764684106759073 y[1] (numeric) = 0.10686636713448843755034905172607 absolute error = 9.6492015864663490680206812117233e-20 relative error = 9.0292220510528718543371232045758e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.057 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.942 y[1] (analytic) = 0.10693627154284658366415851206305 y[1] (numeric) = 0.10693627154284658356740548575454 absolute error = 9.6753026308510276835544808794338e-20 relative error = 9.0477276711245589642994764534626e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.056 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.943 y[1] (analytic) = 0.10700624456341398715004811535787 y[1] (numeric) = 0.10700624456341398705303339494497 absolute error = 9.7014720412898022302172116037525e-20 relative error = 9.0662671892391483002135166522757e-17 % Correct digits = 18 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.538 Order of pole = 1.233e-58 TOP MAIN SOLVE Loop x[1] = 2.944 y[1] (analytic) = 0.10707628628601189660371152106576 y[1] (numeric) = 0.10707628628601189650643442087273 absolute error = 9.7277100193025339688351608336628e-20 relative error = 9.0848406838828989879571328607450e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.054 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.945 y[1] (analytic) = 0.10714639680060859153382745679991 y[1] (numeric) = 0.10714639680060859143628728912922 absolute error = 9.7540167670693136572603372941559e-20 relative error = 9.1034482337477081096052159474789e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.053 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.946 y[1] (analytic) = 0.10721657619731967136832796607153 y[1] (numeric) = 0.1072165761973196712705240411972 absolute error = 9.7803924874328417147921302189199e-20 relative error = 9.1220899177317170315162156012928e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.052 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.947 y[1] (analytic) = 0.10728682456640834502670315420046 y[1] (numeric) = 0.10728682456640834492863478036145 absolute error = 9.8068373839008177503505870834142e-20 relative error = 9.1407658149399197194827505242371e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.051 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.948 y[1] (analytic) = 0.10735714199828572115657137360457 y[1] (numeric) = 0.10735714199828572105823785699809 absolute error = 9.8333516606483394943219312906396e-20 relative error = 9.1594760046847730481118470680646e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.05 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.949 y[1] (analytic) = 0.10742752858351109903625689832446 y[1] (numeric) = 0.10742752858351109893765754309926 absolute error = 9.8599355225203111741802874173634e-20 relative error = 9.1782205664868091116285797633557e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.049 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.95 y[1] (analytic) = 0.10749798441279226014512227895727 y[1] (numeric) = 0.10749798441279226004625638720693 absolute error = 9.8865891750338613741738302939852e-20 relative error = 9.1969995800752495433252056309797e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.048 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.951 y[1] (analytic) = 0.107568509576985760403407727356 y[1] (numeric) = 0.10756850957698576030427459911219 absolute error = 9.9133128243807704195487301069191e-20 relative error = 9.2158131253886218509063234114693e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.047 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.952 y[1] (analytic) = 0.107639104167097223083335055559 y[1] (numeric) = 0.1076391041670972229839339887847 absolute error = 9.9401066774299073259703336450510e-20 relative error = 9.2346612825753777750091494543952e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.046 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.953 y[1] (analytic) = 0.10770976827428163239323888550979 y[1] (numeric) = 0.1077097682742816322935691760925 absolute error = 9.9669709417296763549880065548570e-20 relative error = 9.2535441319945136782066845348662e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.045 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.954 y[1] (analytic) = 0.10778050198984362773649305527113 y[1] (numeric) = 0.10778050198984362763655399701603 absolute error = 9.9939058255104732165779678422869e-20 relative error = 9.2724617542161929718303508685008e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.044 Order of pole = 1225 TOP MAIN SOLVE Loop memory used=247.9MB, alloc=4.6MB, time=37.60 x[1] = 2.955 y[1] (analytic) = 0.10785130540523779864700537369129 y[1] (numeric) = 0.10785130540523779854679625831442 absolute error = 1.0020911537687150959987280710570e-19 relative error = 9.2914142300223705879776066430426e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.043 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.956 y[1] (analytic) = 0.10792217861206898040305911890607 y[1] (numeric) = 0.10792217861206898030257923602745 absolute error = 1.0047988287861495594291928025870e-19 relative error = 9.3104016404074195040990970404322e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.042 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.957 y[1] (analytic) = 0.10799312170209255032128493671981 y[1] (numeric) = 0.10799312170209255022053357385656 absolute error = 1.0075136286324711480272601158595e-19 relative error = 9.3294240665787593275890765565816e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.041 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.958 y[1] (analytic) = 0.10806413476721472473255207286462 y[1] (numeric) = 0.10806413476721472463152851542402 absolute error = 1.0102355744059916535403472586009e-19 relative error = 9.3484815899574869478321380091399e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.04 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.959 y[1] (analytic) = 0.10813521789949285664157316845164 y[1] (numeric) = 0.10813521789949285654027669972419 absolute error = 1.0129646872744647293941810417988e-19 relative error = 9.3675742921790092631887095308030e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.039 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.96 y[1] (analytic) = 0.10820637119113573407202216066482 y[1] (numeric) = 0.10820637119113573397045206181729 absolute error = 1.0157009884753373864299831906451e-19 relative error = 9.3867022550936779904313326546655e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.038 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.961 y[1] (analytic) = 0.10827759473450387909897016096872 y[1] (numeric) = 0.10827759473450387899712571103712 absolute error = 1.0184444993160024826074688032282e-19 relative error = 9.4058655607674265641734128890588e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.037 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.962 y[1] (analytic) = 0.10834888862210984757044953087098 y[1] (numeric) = 0.10834888862210984746833000675358 absolute error = 1.0211952411740522109307927471505e-19 relative error = 9.4250642914824091338619395354320e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.036 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.963 y[1] (analytic) = 0.10842025294661852951996174066114 y[1] (numeric) = 0.10842025294661852941756641711139 absolute error = 1.0239532354975325898742210693490e-19 relative error = 9.4442985297376416659356045101803e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.035 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.964 y[1] (analytic) = 0.10849168780084745027174997960356 y[1] (numeric) = 0.10849168780084745016907812922304 absolute error = 1.0267185038051989606040438734812e-19 relative error = 9.4635683582496451587798111788628e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.034 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.965 y[1] (analytic) = 0.10856319327776707224066288685815 y[1] (numeric) = 0.10856319327776707213771378008948 absolute error = 1.0294910676867724953130831448417e-19 relative error = 9.4828738599530909781402542908445e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.033 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.966 y[1] (analytic) = 0.10863476947050109742844119100209 y[1] (numeric) = 0.10863476947050109732521409612177 absolute error = 1.0322709488031977210040841903006e-19 relative error = 9.5022151180014483206870716088507e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.032 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.967 y[1] (analytic) = 0.10870641647232677061826448249386 y[1] (numeric) = 0.10870641647232677051475866560517 absolute error = 1.0350581688869010630783132285124e-19 relative error = 9.5215922157676338134520173589629e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.031 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.968 y[1] (analytic) = 0.10877813437667518326940079782235 y[1] (numeric) = 0.10877813437667518316561552284814 absolute error = 1.0378527497420504131058167348340e-19 relative error = 9.5410052368446632568916877829307e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.03 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.969 y[1] (analytic) = 0.10884992327713157811380716648302 y[1] (numeric) = 0.10884992327713157800974169515854 absolute error = 1.0406547132448157251740309401529e-19 relative error = 9.5604542650463055193605404599776e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.029 Order of pole = 1225 memory used=251.7MB, alloc=4.6MB, time=38.18 TOP MAIN SOLVE Loop x[1] = 2.97 y[1] (analytic) = 0.10892178326743565445653476238713 y[1] (numeric) = 0.10892178326743565435218835425277 absolute error = 1.0434640813436306452317629302377e-19 relative error = 9.5799393844077385908082922862189e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.028 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.971 y[1] (analytic) = 0.1089937144414818741817978099021 y[1] (numeric) = 0.10899371444148187407716972229616 absolute error = 1.0462808760594551778659986223250e-19 relative error = 9.5994606791862078035472566660507e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.027 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.972 y[1] (analytic) = 0.10906571689331976846657092150933 y[1] (numeric) = 0.10906571689331976836166040956073 absolute error = 1.0491051194860393949695280414607e-19 relative error = 9.6190182338616862279662891940960e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.026 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.973 y[1] (analytic) = 0.10913779071715424520358508911483 y[1] (numeric) = 0.10913779071715424509839140573581 absolute error = 1.0519368337901881907780153166428e-19 relative error = 9.6386121331375372510992535042471e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.025 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.974 y[1] (analytic) = 0.10920993600734589713559811442493 y[1] (numeric) = 0.10920993600734589703012051030373 absolute error = 1.0547760412120270877758802050871e-19 relative error = 9.6582424619411793459872956527959e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.024 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.975 y[1] (analytic) = 0.10928215285841131070282084557066 y[1] (numeric) = 0.10928215285841131059705856916413 absolute error = 1.0576227640652690979912002740198e-19 relative error = 9.6779093054247530398057270074525e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.023 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.976 y[1] (analytic) = 0.10935444136502337560538618739677 y[1] (numeric) = 0.10935444136502337549933848492302 absolute error = 1.0604770247374826442207886684034e-19 relative error = 9.6976127489657900887579627581538e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.022 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.977 y[1] (analytic) = 0.10942680162201159508275347159264 y[1] (numeric) = 0.1094268016220115949764195870236 absolute error = 1.0633388456903605457476522180983e-19 relative error = 9.7173528781678848677707464770055e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.021 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.978 y[1] (analytic) = 0.10949923372436239691194641019902 y[1] (numeric) = 0.10949923372436239680532558525302 absolute error = 1.0662082494599900731341890404223e-19 relative error = 9.7371297788613679830568112646318e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.02 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.979 y[1] (analytic) = 0.10957173776721944512652851204539 y[1] (numeric) = 0.10957173776721944501961998617967 absolute error = 1.0690852586571240766957443282585e-19 relative error = 9.7569435371039821156431855629362e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.019 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.98 y[1] (analytic) = 0.10964431384588395245822551642472 y[1] (numeric) = 0.10964431384588395235102852682797 absolute error = 1.0719698959674531932805082372749e-19 relative error = 9.7767942391815601039955473272418e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.018 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.981 y[1] (analytic) = 0.10971696205581499350311009186492 y[1] (numeric) = 0.10971696205581499339562387344973 absolute error = 1.0748621841518791360032112590894e-19 relative error = 9.7966819716087052739013645746057e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.017 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.982 y[1] (analytic) = 0.10978968249262981861426976027642 y[1] (numeric) = 0.10978968249262981850649354567175 absolute error = 1.0777621460467890716016507541436e-19 relative error = 9.8166068211294740238070340035842e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.016 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.983 y[1] (analytic) = 0.10986247525210416852288473811368 y[1] (numeric) = 0.10986247525210416841481775765724 absolute error = 1.0806698045643310901067679855997e-19 relative error = 9.8365688747180606738368430608766e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.015 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.984 y[1] (analytic) = 0.10993534043017258968964813655201 y[1] (numeric) = 0.10993534043017258958128961828274 absolute error = 1.0835851826926907715387886139435e-19 relative error = 9.8565682195794845867543351623149e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.014 Order of pole = 1225 memory used=255.5MB, alloc=4.6MB, time=38.76 TOP MAIN SOLVE Loop x[1] = 2.985 y[1] (analytic) = 0.11000827812292875038846673212159 y[1] (numeric) = 0.11000827812292875027981590177196 absolute error = 1.0865083034963688543638417545285e-19 relative error = 9.8766049431502795691595534130588e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.013 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.986 y[1] (analytic) = 0.11008128842662575752438630782515 y[1] (numeric) = 0.1100812884266257574154423888135 absolute error = 1.0894391901164600104674839436879e-19 relative error = 9.8966791330991855612486757713142e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.012 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.987 y[1] (analytic) = 0.11015437143767647418769137256643 y[1] (numeric) = 0.11015437143767647407845358598934 absolute error = 1.0923778657709327314236752831336e-19 relative error = 9.9167908773278426234957348214093e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.011 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.988 y[1] (analytic) = 0.11022752725265383794613489380239 y[1] (numeric) = 0.1102275272526538378366024584269 absolute error = 1.0953243537549103308599862203359e-19 relative error = 9.9369402639714872286494388289034e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.01 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.989 y[1] (analytic) = 0.1103007559682911798772595247736 y[1] (numeric) = 0.11030075596829117976743165702951 absolute error = 1.0982786774409530677421554608811e-19 relative error = 9.9571273813996508674715782091586e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.009 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.99 y[1] (analytic) = 0.11037405768148254434277767353561 y[1] (numeric) = 0.11037405768148254423265358750768 absolute error = 1.1012408602793413954235729872048e-19 relative error = 9.9773523182168609766771136213740e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.008 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.991 y[1] (analytic) = 0.11044743248928300950698364638001 y[1] (numeric) = 0.11044743248928300939656255380018 absolute error = 1.1042109257983603413278276697232e-19 relative error = 9.9976151632633441975697992757151e-17 % Correct digits = 18 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.007 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.992 y[1] (analytic) = 0.11052088048890900860117700316885 y[1] (numeric) = 0.1105208804889090084904581134084 absolute error = 1.1071888976045850221551370976673e-19 relative error = 1.0017916005615731973901098388468e-16 % Correct digits = 17 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.006 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.993 y[1] (analytic) = 0.11059440177773865193608218668136 y[1] (numeric) = 0.11059440177773865182506470674304 absolute error = 1.1101747993831672995262686277298e-19 relative error = 1.0038254934587768497514197719096e-16 % Correct digits = 17 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.005 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.994 y[1] (analytic) = 0.11066799645331204966425543235994 y[1] (numeric) = 0.11066799645331204955293856687013 absolute error = 1.1131686548981235810004658521789e-19 relative error = 1.0058632039731021010369125457059e-16 % Correct digits = 17 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.004 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.995 y[1] (analytic) = 0.11074166461333163529447592891493 y[1] (numeric) = 0.11074166461333163518285888011566 absolute error = 1.1161704879926237714269143310271e-19 relative error = 1.0079047410835592471579322082033e-16 % Correct digits = 17 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.003 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.996 y[1] (analytic) = 0.11081540635566248996012418417698 y[1] (numeric) = 0.11081540635566248984820615191805 absolute error = 1.1191803225892813796124151252630e-19 relative error = 1.0099501137930836598124507889016e-16 % Correct digits = 17 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.002 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.997 y[1] (analytic) = 0.11088922177833266744355655444567 y[1] (numeric) = 0.11088922177833266733133673617662 absolute error = 1.1221981826904447853111850235824e-19 relative error = 1.0119993311286075287939334343332e-16 % Correct digits = 17 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.171 Order of pole = 6.538e-59 TOP MAIN SOLVE Loop x[1] = 2.998 y[1] (analytic) = 0.11096311097953351995849091944478 y[1] (numeric) = 0.11096311097953351984596851020693 absolute error = 1.1252240923784896715660689905319e-19 relative error = 1.0140524021411318434112100006950e-16 % Correct digits = 17 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 2.999 y[1] (analytic) = 0.11103707405762002469242452893354 y[1] (numeric) = 0.11103707405762002457959872135193 memory used=259.4MB, alloc=4.6MB, time=39.34 absolute error = 1.1282580758161126274539339000050e-19 relative error = 1.0161093359057986138962756157379e-16 % Correct digits = 17 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 2.999 Order of pole = 1225 Finished! diff ( y , x , 1 ) = m1 * 2.0 / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0) ; Iterations = 1000 Total Elapsed Time = 39 Seconds Elapsed Time(since restart) = 39 Seconds Time to Timeout = 2 Minutes 20 Seconds Percent Done = 100.1 % > quit memory used=259.5MB, alloc=4.6MB, time=39.36