|\^/| 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, > #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_g, > array_tmp1, > array_tmp2_c1, > array_tmp2_a1, > array_tmp2_a2, > array_tmp2, > array_tmp3_g, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > 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_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_g, array_tmp1, array_tmp2_c1, array_tmp2_a1, array_tmp2_a2, array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, 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, > #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_g, > array_tmp1, > array_tmp2_c1, > array_tmp2_a1, > array_tmp2_a2, > array_tmp2, > array_tmp3_g, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > 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_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_g, array_tmp1, array_tmp2_c1, array_tmp2_a1, array_tmp2_a2, array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, 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, > #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_g, > array_tmp1, > array_tmp2_c1, > array_tmp2_a1, > array_tmp2_a2, > array_tmp2, > array_tmp3_g, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > 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_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_g, array_tmp1, array_tmp2_c1, array_tmp2_a1, array_tmp2_a2, array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, 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, > #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_g, > array_tmp1, > array_tmp2_c1, > array_tmp2_a1, > array_tmp2_a2, > array_tmp2, > array_tmp3_g, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > 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_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_g, array_tmp1, array_tmp2_c1, array_tmp2_a1, array_tmp2_a2, array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, 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, > #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_g, > array_tmp1, > array_tmp2_c1, > array_tmp2_a1, > array_tmp2_a2, > array_tmp2, > array_tmp3_g, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > 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_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_g, array_tmp1, array_tmp2_c1, array_tmp2_a1, array_tmp2_a2, array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, 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, > #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_g, > array_tmp1, > array_tmp2_c1, > array_tmp2_a1, > array_tmp2_a2, > array_tmp2, > array_tmp3_g, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > 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_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_g, array_tmp1, array_tmp2_c1, array_tmp2_a1, array_tmp2_a2, array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, 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, > #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_g, > array_tmp1, > array_tmp2_c1, > array_tmp2_a1, > array_tmp2_a2, > array_tmp2, > array_tmp3_g, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > 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_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_g, array_tmp1, array_tmp2_c1, array_tmp2_a1, array_tmp2_a2, array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, 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, > #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_g, > array_tmp1, > array_tmp2_c1, > array_tmp2_a1, > array_tmp2_a2, > array_tmp2, > array_tmp3_g, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > 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_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_g, array_tmp1, array_tmp2_c1, array_tmp2_a1, array_tmp2_a2, array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, 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, > #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_g, > array_tmp1, > array_tmp2_c1, > array_tmp2_a1, > array_tmp2_a2, > array_tmp2, > array_tmp3_g, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > 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 sin 1 $eq_no = 1 > array_tmp1[1] := sin(array_x[1]); > array_tmp1_g[1] := cos(array_x[1]); > if (glob_iter < 2) then # if number 1 > fi;# end if 1; > #emit pre expt CONST FULL $eq_no = 1 i = 1 > array_tmp2[1] := expt(array_const_2D0[1] , array_tmp1[1]); > array_tmp2_c1[1] := ln(array_const_2D0[1]); > #emit pre cos 1 $eq_no = 1 > array_tmp3[1] := cos(array_x[1]); > array_tmp3_g[1] := sin(array_x[1]); > # emit pre mult FULL FULL $eq_no = 1 i = 1 > array_tmp4[1] := (array_tmp2[1] * (array_tmp3[1])); > #emit pre ln ID_CONST $eq_no = 1 > array_tmp5[1] := ln(array_const_2D0[1]); > #emit pre mult FULL CONST $eq_no = 1 i = 1 > array_tmp6[1] := array_tmp4[1] * array_tmp5[1]; > #emit pre add CONST FULL $eq_no = 1 i = 1 > array_tmp7[1] := array_const_0D0[1] + array_tmp6[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_tmp7[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 sin ID_LINEAR iii = 2 $eq_no = 1 > array_tmp1[2] := array_tmp1_g[1] * array_x[2] / 1; > array_tmp1_g[2] := -array_tmp1[1] * array_x[2] / 1; > #emit pre expt CONST FULL $eq_no = 1 iii = 2 > array_tmp2[2] := att(1,array_tmp2,array_tmp1,1) * array_tmp2_c1[1]; > #emit pre cos ID_LINEAR iii = 2 $eq_no = 1 > array_tmp3[2] := -array_tmp3_g[1] * array_x[2] / 1; > array_tmp3_g[2] := array_tmp3[1] * array_x[2] / 1; > # emit pre mult FULL FULL $eq_no = 1 i = 2 > array_tmp4[2] := ats(2,array_tmp2,array_tmp3,1); > #emit pre mult FULL CONST $eq_no = 1 i = 2 > array_tmp6[2] := array_tmp4[2] * array_tmp5[1]; > #emit pre add CONST FULL $eq_no = 1 i = 2 > array_tmp7[2] := array_tmp6[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_tmp7[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 sin ID_LINEAR iii = 3 $eq_no = 1 > array_tmp1[3] := array_tmp1_g[2] * array_x[2] / 2; > array_tmp1_g[3] := -array_tmp1[2] * array_x[2] / 2; > #emit pre expt CONST FULL $eq_no = 1 iii = 3 > array_tmp2[3] := att(2,array_tmp2,array_tmp1,1) * array_tmp2_c1[1]; > #emit pre cos ID_LINEAR iii = 3 $eq_no = 1 > array_tmp3[3] := -array_tmp3_g[2] * array_x[2] / 2; > array_tmp3_g[3] := array_tmp3[2] * array_x[2] / 2; > # emit pre mult FULL FULL $eq_no = 1 i = 3 > array_tmp4[3] := ats(3,array_tmp2,array_tmp3,1); > #emit pre mult FULL CONST $eq_no = 1 i = 3 > array_tmp6[3] := array_tmp4[3] * array_tmp5[1]; > #emit pre add CONST FULL $eq_no = 1 i = 3 > array_tmp7[3] := array_tmp6[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_tmp7[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 sin ID_LINEAR iii = 4 $eq_no = 1 > array_tmp1[4] := array_tmp1_g[3] * array_x[2] / 3; > array_tmp1_g[4] := -array_tmp1[3] * array_x[2] / 3; > #emit pre expt CONST FULL $eq_no = 1 iii = 4 > array_tmp2[4] := att(3,array_tmp2,array_tmp1,1) * array_tmp2_c1[1]; > #emit pre cos ID_LINEAR iii = 4 $eq_no = 1 > array_tmp3[4] := -array_tmp3_g[3] * array_x[2] / 3; > array_tmp3_g[4] := array_tmp3[3] * array_x[2] / 3; > # emit pre mult FULL FULL $eq_no = 1 i = 4 > array_tmp4[4] := ats(4,array_tmp2,array_tmp3,1); > #emit pre mult FULL CONST $eq_no = 1 i = 4 > array_tmp6[4] := array_tmp4[4] * array_tmp5[1]; > #emit pre add CONST FULL $eq_no = 1 i = 4 > array_tmp7[4] := array_tmp6[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_tmp7[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 sin ID_LINEAR iii = 5 $eq_no = 1 > array_tmp1[5] := array_tmp1_g[4] * array_x[2] / 4; > array_tmp1_g[5] := -array_tmp1[4] * array_x[2] / 4; > #emit pre expt CONST FULL $eq_no = 1 iii = 5 > array_tmp2[5] := att(4,array_tmp2,array_tmp1,1) * array_tmp2_c1[1]; > #emit pre cos ID_LINEAR iii = 5 $eq_no = 1 > array_tmp3[5] := -array_tmp3_g[4] * array_x[2] / 4; > array_tmp3_g[5] := array_tmp3[4] * array_x[2] / 4; > # emit pre mult FULL FULL $eq_no = 1 i = 5 > array_tmp4[5] := ats(5,array_tmp2,array_tmp3,1); > #emit pre mult FULL CONST $eq_no = 1 i = 5 > array_tmp6[5] := array_tmp4[5] * array_tmp5[1]; > #emit pre add CONST FULL $eq_no = 1 i = 5 > array_tmp7[5] := array_tmp6[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_tmp7[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 sin LINEAR $eq_no = 1 > array_tmp1[kkk] := array_tmp1_g[kkk - 1] * array_x[2] / (kkk - 1); > array_tmp1_g[kkk] := -array_tmp1[kkk - 1] * array_x[2] / (kkk - 1); > #emit expt CONST FULL $eq_no = 1 i = 1 > array_tmp2[kkk] := att(kkk-1,array_tmp2,array_tmp1,1) * array_tmp2_c1[1]; > #emit cos LINEAR $eq_no = 1 > array_tmp3[kkk] := -array_tmp3_g[kkk - 1] * array_x[2] / (kkk - 1); > array_tmp3_g[kkk] := array_tmp3[kkk - 1] * array_x[2] / (kkk - 1); > #emit mult FULL FULL $eq_no = 1 > array_tmp4[kkk] := ats(kkk,array_tmp2,array_tmp3,1); > #emit mult FULL CONST $eq_no = 1 i = 1 > array_tmp6[kkk] := array_tmp4[kkk] * array_tmp5[1]; > #emit NOT FULL - FULL add $eq_no = 1 > array_tmp7[kkk] := array_tmp6[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_tmp7[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_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_g, array_tmp1, array_tmp2_c1, array_tmp2_a1, array_tmp2_a2, array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, 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] := sin(array_x[1]); array_tmp1_g[1] := cos(array_x[1]); if glob_iter < 2 then end if; array_tmp2[1] := expt(array_const_2D0[1], array_tmp1[1]); array_tmp2_c1[1] := ln(array_const_2D0[1]); array_tmp3[1] := cos(array_x[1]); array_tmp3_g[1] := sin(array_x[1]); array_tmp4[1] := array_tmp2[1]*array_tmp3[1]; array_tmp5[1] := ln(array_const_2D0[1]); array_tmp6[1] := array_tmp4[1]*array_tmp5[1]; array_tmp7[1] := array_const_0D0[1] + array_tmp6[1]; if not array_y_set_initial[1, 2] then if 1 <= glob_max_terms then temporary := array_tmp7[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_tmp1_g[1]*array_x[2]; array_tmp1_g[2] := -array_tmp1[1]*array_x[2]; array_tmp2[2] := att(1, array_tmp2, array_tmp1, 1)*array_tmp2_c1[1]; array_tmp3[2] := -array_tmp3_g[1]*array_x[2]; array_tmp3_g[2] := array_tmp3[1]*array_x[2]; array_tmp4[2] := ats(2, array_tmp2, array_tmp3, 1); array_tmp6[2] := array_tmp4[2]*array_tmp5[1]; array_tmp7[2] := array_tmp6[2]; if not array_y_set_initial[1, 3] then if 2 <= glob_max_terms then temporary := array_tmp7[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] := 1/2*array_tmp1_g[2]*array_x[2]; array_tmp1_g[3] := -1/2*array_tmp1[2]*array_x[2]; array_tmp2[3] := att(2, array_tmp2, array_tmp1, 1)*array_tmp2_c1[1]; array_tmp3[3] := -1/2*array_tmp3_g[2]*array_x[2]; array_tmp3_g[3] := 1/2*array_tmp3[2]*array_x[2]; array_tmp4[3] := ats(3, array_tmp2, array_tmp3, 1); array_tmp6[3] := array_tmp4[3]*array_tmp5[1]; array_tmp7[3] := array_tmp6[3]; if not array_y_set_initial[1, 4] then if 3 <= glob_max_terms then temporary := array_tmp7[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] := 1/3*array_tmp1_g[3]*array_x[2]; array_tmp1_g[4] := -1/3*array_tmp1[3]*array_x[2]; array_tmp2[4] := att(3, array_tmp2, array_tmp1, 1)*array_tmp2_c1[1]; array_tmp3[4] := -1/3*array_tmp3_g[3]*array_x[2]; array_tmp3_g[4] := 1/3*array_tmp3[3]*array_x[2]; array_tmp4[4] := ats(4, array_tmp2, array_tmp3, 1); array_tmp6[4] := array_tmp4[4]*array_tmp5[1]; array_tmp7[4] := array_tmp6[4]; if not array_y_set_initial[1, 5] then if 4 <= glob_max_terms then temporary := array_tmp7[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] := 1/4*array_tmp1_g[4]*array_x[2]; array_tmp1_g[5] := -1/4*array_tmp1[4]*array_x[2]; array_tmp2[5] := att(4, array_tmp2, array_tmp1, 1)*array_tmp2_c1[1]; array_tmp3[5] := -1/4*array_tmp3_g[4]*array_x[2]; array_tmp3_g[5] := 1/4*array_tmp3[4]*array_x[2]; array_tmp4[5] := ats(5, array_tmp2, array_tmp3, 1); array_tmp6[5] := array_tmp4[5]*array_tmp5[1]; array_tmp7[5] := array_tmp6[5]; if not array_y_set_initial[1, 6] then if 5 <= glob_max_terms then temporary := array_tmp7[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_tmp1_g[kkk - 1]*array_x[2]/(kkk - 1); array_tmp1_g[kkk] := -array_tmp1[kkk - 1]*array_x[2]/(kkk - 1); array_tmp2[kkk] := att(kkk - 1, array_tmp2, array_tmp1, 1)*array_tmp2_c1[1]; array_tmp3[kkk] := -array_tmp3_g[kkk - 1]*array_x[2]/(kkk - 1); array_tmp3_g[kkk] := array_tmp3[kkk - 1]*array_x[2]/(kkk - 1); array_tmp4[kkk] := ats(kkk, array_tmp2, array_tmp3, 1); array_tmp6[kkk] := array_tmp4[kkk]*array_tmp5[1]; array_tmp7[kkk] := array_tmp6[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_tmp7[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 > ## Comment 5 > exact_soln_y := proc(x) > ## Comment 6 > return(expt(2.0,sin(x))); > ## Comment 7 > end; exact_soln_y := proc(x) return expt(2.0, sin(x)) 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, > #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_g, > array_tmp1, > array_tmp2_c1, > array_tmp2_a1, > array_tmp2_a2, > array_tmp2, > array_tmp3_g, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > 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/expt_c_sin_newpostode.ode#################"); > omniout_str(ALWAYS,"diff ( y , x , 1 ) = expt ( 2.0 , sin ( x ) ) * cos ( x ) * ln ( 2.0 ) ;"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK"); > omniout_str(ALWAYS,"## Comment 1"); > omniout_str(ALWAYS,"Digits:=32;"); > omniout_str(ALWAYS,"max_terms:=30;"); > omniout_str(ALWAYS,"## Comment 2"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#END FIRST INPUT BLOCK"); > omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK"); > omniout_str(ALWAYS,"## Comment 3"); > omniout_str(ALWAYS,"x_start := 0.1;"); > omniout_str(ALWAYS,"x_end := 1.0 ;"); > 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 := 1000000;"); > omniout_str(ALWAYS,"## Comment 4"); > 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,"## Comment 5"); > omniout_str(ALWAYS,"exact_soln_y := proc(x)"); > omniout_str(ALWAYS,"## Comment 6"); > omniout_str(ALWAYS,"return(expt(2.0,sin(x)));"); > omniout_str(ALWAYS,"## Comment 7"); > omniout_str(ALWAYS,"end;"); > 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 > ## Comment 1 > Digits:=32; > max_terms:=30; > ## Comment 2 > #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_g:= Array(0..(max_terms + 1),[]); > array_tmp1:= Array(0..(max_terms + 1),[]); > array_tmp2_c1:= Array(0..(max_terms + 1),[]); > array_tmp2_a1:= Array(0..(max_terms + 1),[]); > array_tmp2_a2:= Array(0..(max_terms + 1),[]); > array_tmp2:= Array(0..(max_terms + 1),[]); > array_tmp3_g:= 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_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_g[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_c1[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp2_a1[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp2_a2[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_g[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_m1[term] := 0.0; > term := term + 1; > od;# end do number 2; > ord := 1; > while (ord <=2) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_y_higher[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=2) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_y_higher_work[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=2) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_y_higher_work2[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=2) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_y_set_initial[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=1) do # do number 2 > term := 1; > while (term <= 3) do # do number 3 > array_poles[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=1) do # do number 2 > term := 1; > while (term <= 3) do # do number 3 > array_real_pole[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=1) do # do number 2 > term := 1; > while (term <= 3) do # do number 3 > array_complex_pole[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=max_terms) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_fact_2[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > #BEGIN ARRAYS DEFINED AND INITIALIZATED > array_y := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_y[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_x := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_x[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp1_g := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp1_g[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_c1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp2_c1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp2_a1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp2_a1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp2_a2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp2_a2[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_g := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp3_g[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_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_1[1] := 1; > array_const_0D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_0D0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_0D0[1] := 0.0; > array_const_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_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 > ## Comment 3 > x_start := 0.1; > x_end := 1.0 ; > array_y_init[0 + 1] := exact_soln_y(x_start); > glob_look_poles := true; > glob_max_iter := 1000000; > ## Comment 4 > #END SECOND INPUT BLOCK > #BEGIN OVERRIDE BLOCK > glob_desired_digits_correct:=10; > glob_display_interval:=0.001; > glob_look_poles:=true; > glob_max_iter:=10000000; > glob_max_minutes:=3; > glob_subiter_method:=3; > #END OVERRIDE BLOCK > #END SECOND INPUT BLOCK > #BEGIN INITS AFTER SECOND INPUT BLOCK > glob_last_good_h := glob_h; > glob_max_terms := max_terms; > glob_max_sec := convfloat(60.0) * convfloat(glob_max_minutes) + convfloat(3600.0) * convfloat(glob_max_hours); > if (glob_h > 0.0) then # if number 1 > glob_neg_h := false; > glob_display_interval := omniabs(glob_display_interval); > else > glob_neg_h := true; > glob_display_interval := -omniabs(glob_display_interval); > fi;# end if 1; > chk_data(); > #AFTER INITS AFTER SECOND INPUT BLOCK > array_y_set_initial[1,1] := true; > array_y_set_initial[1,2] := false; > array_y_set_initial[1,3] := false; > array_y_set_initial[1,4] := false; > array_y_set_initial[1,5] := false; > array_y_set_initial[1,6] := false; > array_y_set_initial[1,7] := false; > array_y_set_initial[1,8] := false; > array_y_set_initial[1,9] := false; > array_y_set_initial[1,10] := false; > array_y_set_initial[1,11] := false; > array_y_set_initial[1,12] := false; > array_y_set_initial[1,13] := false; > array_y_set_initial[1,14] := false; > array_y_set_initial[1,15] := false; > array_y_set_initial[1,16] := false; > array_y_set_initial[1,17] := false; > array_y_set_initial[1,18] := false; > array_y_set_initial[1,19] := false; > array_y_set_initial[1,20] := false; > array_y_set_initial[1,21] := false; > array_y_set_initial[1,22] := false; > array_y_set_initial[1,23] := false; > array_y_set_initial[1,24] := false; > array_y_set_initial[1,25] := false; > array_y_set_initial[1,26] := false; > array_y_set_initial[1,27] := false; > array_y_set_initial[1,28] := false; > array_y_set_initial[1,29] := false; > array_y_set_initial[1,30] := false; > #BEGIN OPTIMIZE CODE > omniout_str(ALWAYS,"START of Optimize"); > #Start Series -- INITIALIZE FOR OPTIMIZE > glob_check_sign := check_sign(x_start,x_end); > glob_h := check_sign(x_start,x_end); > if (glob_display_interval < glob_h) then # if number 2 > glob_h := glob_display_interval; > fi;# end if 2; > if (glob_max_h < glob_h) then # if number 2 > glob_h := glob_max_h; > fi;# end if 2; > found_h := -1.0; > best_h := 0.0; > min_value := glob_large_float; > est_answer := est_size_answer(); > opt_iter := 1; > while ((opt_iter <= 20) and (found_h < 0.0)) do # do number 2 > omniout_int(ALWAYS,"opt_iter",32,opt_iter,4,""); > array_x[1] := x_start; > array_x[2] := glob_h; > glob_next_display := x_start; > order_diff := 1; > #Start Series array_y > term_no := 1; > while (term_no <= order_diff) do # do number 3 > array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1); > term_no := term_no + 1; > od;# end do number 3; > rows := order_diff; > r_order := 1; > while (r_order <= rows) do # do number 3 > term_no := 1; > while (term_no <= (rows - r_order + 1)) do # do number 4 > it := term_no + r_order - 1; > array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1))); > term_no := term_no + 1; > od;# end do number 4; > r_order := r_order + 1; > od;# end do number 3 > ; > atomall(); > est_needed_step_err := estimated_needed_step_error(x_start,x_end,glob_h,est_answer); > omniout_float(ALWAYS,"est_needed_step_err",32,est_needed_step_err,16,""); > value3 := test_suggested_h(); > omniout_float(ALWAYS,"value3",32,value3,32,""); > if ((value3 < est_needed_step_err) and (found_h < 0.0)) then # if number 2 > best_h := glob_h; > found_h := 1.0; > fi;# end if 2; > omniout_float(ALWAYS,"best_h",32,best_h,32,""); > opt_iter := opt_iter + 1; > glob_h := glob_h * 0.5; > od;# end do number 2; > if (found_h > 0.0) then # if number 2 > glob_h := best_h ; > else > omniout_str(ALWAYS,"No increment to obtain desired accuracy found"); > fi;# end if 2; > #END OPTIMIZE CODE > if (glob_html_log) then # if number 2 > html_log_file := fopen("html/entry.html",WRITE,TEXT); > fi;# end if 2; > #BEGIN SOLUTION CODE > if (found_h > 0.0) then # if number 2 > omniout_str(ALWAYS,"START of Soultion"); > #Start Series -- INITIALIZE FOR SOLUTION > array_x[1] := x_start; > array_x[2] := glob_h; > glob_next_display := x_start; > order_diff := 1; > #Start Series array_y > term_no := 1; > while (term_no <= order_diff) do # do number 2 > array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1); > term_no := term_no + 1; > od;# end do number 2; > rows := order_diff; > r_order := 1; > while (r_order <= rows) do # do number 2 > term_no := 1; > while (term_no <= (rows - r_order + 1)) do # do number 3 > it := term_no + r_order - 1; > array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1))); > term_no := term_no + 1; > od;# end do number 3; > r_order := r_order + 1; > od;# end do number 2 > ; > current_iter := 1; > glob_clock_start_sec := elapsed_time_seconds(); > glob_clock_sec := elapsed_time_seconds(); > glob_current_iter := 0; > glob_iter := 0; > omniout_str(DEBUGL," "); > glob_reached_optimal_h := true; > glob_optimal_clock_start_sec := elapsed_time_seconds(); > while ((glob_current_iter < glob_max_iter) and ((glob_check_sign * array_x[1]) < (glob_check_sign * x_end )) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2 > #left paren 0001C > if (reached_interval()) then # if number 3 > omniout_str(INFO," "); > omniout_str(INFO,"TOP MAIN SOLVE Loop"); > fi;# end if 3; > glob_iter := glob_iter + 1; > glob_clock_sec := elapsed_time_seconds(); > glob_current_iter := glob_current_iter + 1; > atomall(); > display_alot(current_iter); > if (glob_look_poles) then # if number 3 > #left paren 0004C > check_for_pole(); > fi;# end if 3;#was right paren 0004C > if (reached_interval()) then # if number 3 > glob_next_display := glob_next_display + glob_display_interval; > fi;# end if 3; > array_x[1] := array_x[1] + glob_h; > array_x[2] := glob_h; > #Jump Series array_y; > order_diff := 2; > #START PART 1 SUM AND ADJUST > #START SUM AND ADJUST EQ =1 > #sum_and_adjust array_y > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 2; > calc_term := 1; > #adjust_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y_higher_work[2,iii] := array_y_higher[2,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 2; > calc_term := 1; > #sum_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1)); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 2; > #adjust_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 1; > calc_term := 2; > #sum_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1)); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 1; > #adjust_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 1; > calc_term := 1; > #sum_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1)); > #AFTER SUM SUBSERIES EQ =1 > #END SUM AND ADJUST EQ =1 > #END PART 1 > #START PART 2 MOVE TERMS to REGULAR Array > term_no := glob_max_terms; > while (term_no >= 1) do # do number 3 > array_y[term_no] := array_y_higher_work2[1,term_no]; > ord := 1; > while (ord <= order_diff) do # do number 4 > array_y_higher[ord,term_no] := array_y_higher_work2[ord,term_no]; > ord := ord + 1; > od;# end do number 4; > term_no := term_no - 1; > od;# end do number 3; > #END PART 2 HEVE MOVED TERMS to REGULAR Array > ; > od;# end do number 2;#right paren 0001C > omniout_str(ALWAYS,"Finished!"); > if (glob_iter >= glob_max_iter) then # if number 3 > omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!"); > fi;# end if 3; > if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 3 > omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!"); > fi;# end if 3; > glob_clock_sec := elapsed_time_seconds(); > omniout_str(INFO,"diff ( y , x , 1 ) = expt ( 2.0 , sin ( x ) ) * cos ( x ) * ln ( 2.0 ) ;"); > 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,"2013-01-28T13:58:12-06:00") > ; > logitem_str(html_log_file,"Maple") > ; > logitem_str(html_log_file,"expt_c_sin_new") > ; > logitem_str(html_log_file,"diff ( y , x , 1 ) = expt ( 2.0 , sin ( x ) ) * cos ( x ) * ln ( 2.0 ) ;") > ; > 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,"expt_c_sin_new diffeq.mxt") > ; > logitem_str(html_log_file,"expt_c_sin_new 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_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_g, array_tmp1, array_tmp2_c1, array_tmp2_a1, array_tmp2_a2, array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, 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/expt_c_sin_newpostode.ode#################"); omniout_str(ALWAYS, "diff ( y , x , 1 ) = expt ( 2.0 , sin ( x ) ) * \ cos ( x ) * ln ( 2.0 ) ;"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK"); omniout_str(ALWAYS, "## Comment 1"); omniout_str(ALWAYS, "Digits:=32;"); omniout_str(ALWAYS, "max_terms:=30;"); omniout_str(ALWAYS, "## Comment 2"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#END FIRST INPUT BLOCK"); omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK"); omniout_str(ALWAYS, "## Comment 3"); omniout_str(ALWAYS, "x_start := 0.1;"); omniout_str(ALWAYS, "x_end := 1.0 ;"); 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 := 1000000;"); omniout_str(ALWAYS, "## Comment 4"); 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, "## Comment 5"); omniout_str(ALWAYS, "exact_soln_y := proc(x)"); omniout_str(ALWAYS, "## Comment 6"); omniout_str(ALWAYS, "return(expt(2.0,sin(x)));"); omniout_str(ALWAYS, "## Comment 7"); omniout_str(ALWAYS, "end;"); 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 := 32; max_terms := 30; 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_g := Array(0 .. max_terms + 1, []); array_tmp1 := Array(0 .. max_terms + 1, []); array_tmp2_c1 := Array(0 .. max_terms + 1, []); array_tmp2_a1 := Array(0 .. max_terms + 1, []); array_tmp2_a2 := Array(0 .. max_terms + 1, []); array_tmp2 := Array(0 .. max_terms + 1, []); array_tmp3_g := 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_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_g[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_c1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp2_a1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp2_a2[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_g[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_m1[term] := 0.; term := term + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_higher[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_higher_work[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_higher_work2[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_set_initial[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 1 do term := 1; while term <= 3 do array_poles[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 1 do term := 1; while term <= 3 do array_real_pole[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 1 do term := 1; while term <= 3 do array_complex_pole[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= max_terms do term := 1; while term <= max_terms do array_fact_2[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; array_y := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_y[term] := 0.; term := term + 1 end do; array_x := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_x[term] := 0.; term := term + 1 end do; array_tmp0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1 end do; array_tmp1_g := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp1_g[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_c1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp2_c1[term] := 0.; term := term + 1 end do; array_tmp2_a1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp2_a1[term] := 0.; term := term + 1 end do; array_tmp2_a2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp2_a2[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_g := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp3_g[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_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1 end do; array_const_1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_1[term] := 0.; term := term + 1 end do; array_const_1[1] := 1; array_const_0D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_0D0[term] := 0.; term := term + 1 end do; array_const_0D0[1] := 0.; array_const_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_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms do array_m1[term] := 0.; term := term + 1 end do; array_m1[1] := -1.0; iiif := 0; while iiif <= glob_max_terms do jjjf := 0; while jjjf <= glob_max_terms do array_fact_1[iiif] := 0; array_fact_2[iiif, jjjf] := 0; jjjf := jjjf + 1 end do; iiif := iiif + 1 end do; x_start := 0.1; x_end := 1.0; array_y_init[1] := exact_soln_y(x_start); glob_look_poles := true; glob_max_iter := 1000000; glob_desired_digits_correct := 10; glob_display_interval := 0.001; glob_look_poles := true; glob_max_iter := 10000000; glob_max_minutes := 3; glob_subiter_method := 3; glob_last_good_h := glob_h; glob_max_terms := max_terms; glob_max_sec := convfloat(60.0)*convfloat(glob_max_minutes) + convfloat(3600.0)*convfloat(glob_max_hours); if 0. < glob_h then glob_neg_h := false; glob_display_interval := omniabs(glob_display_interval) else glob_neg_h := true; glob_display_interval := -omniabs(glob_display_interval) end if; chk_data(); array_y_set_initial[1, 1] := true; array_y_set_initial[1, 2] := false; array_y_set_initial[1, 3] := false; array_y_set_initial[1, 4] := false; array_y_set_initial[1, 5] := false; array_y_set_initial[1, 6] := false; array_y_set_initial[1, 7] := false; array_y_set_initial[1, 8] := false; array_y_set_initial[1, 9] := false; array_y_set_initial[1, 10] := false; array_y_set_initial[1, 11] := false; array_y_set_initial[1, 12] := false; array_y_set_initial[1, 13] := false; array_y_set_initial[1, 14] := false; array_y_set_initial[1, 15] := false; array_y_set_initial[1, 16] := false; array_y_set_initial[1, 17] := false; array_y_set_initial[1, 18] := false; array_y_set_initial[1, 19] := false; array_y_set_initial[1, 20] := false; array_y_set_initial[1, 21] := false; array_y_set_initial[1, 22] := false; array_y_set_initial[1, 23] := false; array_y_set_initial[1, 24] := false; array_y_set_initial[1, 25] := false; array_y_set_initial[1, 26] := false; array_y_set_initial[1, 27] := false; array_y_set_initial[1, 28] := false; array_y_set_initial[1, 29] := false; array_y_set_initial[1, 30] := false; omniout_str(ALWAYS, "START of Optimize"); glob_check_sign := check_sign(x_start, x_end); glob_h := check_sign(x_start, x_end); if glob_display_interval < glob_h then glob_h := glob_display_interval end if; if glob_max_h < glob_h then glob_h := glob_max_h end if; found_h := -1.0; best_h := 0.; min_value := glob_large_float; est_answer := est_size_answer(); opt_iter := 1; while opt_iter <= 20 and found_h < 0. do omniout_int(ALWAYS, "opt_iter", 32, opt_iter, 4, ""); array_x[1] := x_start; array_x[2] := glob_h; glob_next_display := x_start; order_diff := 1; term_no := 1; while term_no <= order_diff do array_y[term_no] := array_y_init[term_no]* expt(glob_h, term_no - 1)/factorial_1(term_no - 1); term_no := term_no + 1 end do; rows := order_diff; r_order := 1; while r_order <= rows do term_no := 1; while term_no <= rows - r_order + 1 do it := term_no + r_order - 1; array_y_higher[r_order, term_no] := array_y_init[it]* expt(glob_h, term_no - 1)/factorial_1(term_no - 1); term_no := term_no + 1 end do; r_order := r_order + 1 end do; atomall(); est_needed_step_err := estimated_needed_step_error(x_start, x_end, glob_h, est_answer) ; omniout_float(ALWAYS, "est_needed_step_err", 32, est_needed_step_err, 16, ""); value3 := test_suggested_h(); omniout_float(ALWAYS, "value3", 32, value3, 32, ""); if value3 < est_needed_step_err and found_h < 0. then best_h := glob_h; found_h := 1.0 end if; omniout_float(ALWAYS, "best_h", 32, best_h, 32, ""); opt_iter := opt_iter + 1; glob_h := glob_h*0.5 end do; if 0. < found_h then glob_h := best_h else omniout_str(ALWAYS, "No increment to obtain desired accuracy found") end if; if glob_html_log then html_log_file := fopen("html/entry.html", WRITE, TEXT) end if; if 0. < found_h then omniout_str(ALWAYS, "START of Soultion"); array_x[1] := x_start; array_x[2] := glob_h; glob_next_display := x_start; order_diff := 1; term_no := 1; while term_no <= order_diff do array_y[term_no] := array_y_init[term_no]* expt(glob_h, term_no - 1)/factorial_1(term_no - 1); term_no := term_no + 1 end do; rows := order_diff; r_order := 1; while r_order <= rows do term_no := 1; while term_no <= rows - r_order + 1 do it := term_no + r_order - 1; array_y_higher[r_order, term_no] := array_y_init[it]* expt(glob_h, term_no - 1)/factorial_1(term_no - 1); term_no := term_no + 1 end do; r_order := r_order + 1 end do; current_iter := 1; glob_clock_start_sec := elapsed_time_seconds(); glob_clock_sec := elapsed_time_seconds(); glob_current_iter := 0; glob_iter := 0; omniout_str(DEBUGL, " "); glob_reached_optimal_h := true; glob_optimal_clock_start_sec := elapsed_time_seconds(); while glob_current_iter < glob_max_iter and glob_check_sign*array_x[1] < glob_check_sign*x_end and convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) < convfloat(glob_max_sec) do if reached_interval() then omniout_str(INFO, " "); omniout_str(INFO, "TOP MAIN SOLVE Loop") end if; glob_iter := glob_iter + 1; glob_clock_sec := elapsed_time_seconds(); glob_current_iter := glob_current_iter + 1; atomall(); display_alot(current_iter); if glob_look_poles then check_for_pole() end if; if reached_interval() then glob_next_display := glob_next_display + glob_display_interval end if; array_x[1] := array_x[1] + glob_h; array_x[2] := glob_h; order_diff := 2; ord := 2; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y_higher_work[2, iii] := array_y_higher[2, iii]/( expt(glob_h, calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 2; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y_higher_work[ord, iii]; iii := iii - 1 end do; array_y_higher_work2[ord, calc_term] := temp_sum* expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1); ord := 1; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do array_y_higher_work[1, iii] := array_y_higher[1, iii]/( expt(glob_h, calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y_higher_work[ord, iii]; iii := iii - 1 end do; array_y_higher_work2[ord, calc_term] := temp_sum* expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1); ord := 1; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y_higher_work[1, iii] := array_y_higher[1, iii]/( expt(glob_h, calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y_higher_work[ord, iii]; iii := iii - 1 end do; array_y_higher_work2[ord, calc_term] := temp_sum* expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1); term_no := glob_max_terms; while 1 <= term_no do array_y[term_no] := array_y_higher_work2[1, term_no]; ord := 1; while ord <= order_diff do array_y_higher[ord, term_no] := array_y_higher_work2[ord, term_no]; ord := ord + 1 end do; term_no := term_no - 1 end do end do; omniout_str(ALWAYS, "Finished!"); if glob_max_iter <= glob_iter then omniout_str(ALWAYS, "Maximum Iterations Reached before Solution Completed!") end if; if convfloat(glob_max_sec) <= elapsed_time_seconds() - convfloat(glob_orig_start_sec) then omniout_str(ALWAYS, "Maximum Time Reached before Solution Completed!") end if; glob_clock_sec := elapsed_time_seconds(); omniout_str(INFO, "diff ( y , x , 1 ) = expt ( 2.0 , sin ( x ) ) \ * cos ( x ) * ln ( 2.0 ) ;"); 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, "2013-01-28T13:58:12-06:00"); logitem_str(html_log_file, "Maple"); logitem_str(html_log_file, "expt_c_sin_new"); logitem_str(html_log_file, "diff ( y , x , 1 ) = expt ( 2.0 ,\ sin ( x ) ) * cos ( x ) * ln ( 2.0 ) ;"); 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, "expt_c_sin_new diffeq.mxt"); logitem_str(html_log_file, "expt_c_sin_new 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/expt_c_sin_newpostode.ode################# diff ( y , x , 1 ) = expt ( 2.0 , sin ( x ) ) * cos ( x ) * ln ( 2.0 ) ; ! #BEGIN FIRST INPUT BLOCK ## Comment 1 Digits:=32; max_terms:=30; ## Comment 2 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK ## Comment 3 x_start := 0.1; x_end := 1.0 ; array_y_init[0 + 1] := exact_soln_y(x_start); glob_look_poles := true; glob_max_iter := 1000000; ## Comment 4 #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 ## Comment 5 exact_soln_y := proc(x) ## Comment 6 return(expt(2.0,sin(x))); ## Comment 7 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 = 0.9 estimated_steps = 900 step_error = 1.1111111111111111111111111111111e-13 est_needed_step_err = 1.1111111111111111111111111111111e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 value3 = 2.5174200972486385826292771130856e-90 max_value3 = 2.5174200972486385826292771130856e-90 value3 = 2.5174200972486385826292771130856e-90 best_h = 0.001 START of Soultion TOP MAIN SOLVE Loop x[1] = 0.1 y[1] (analytic) = 1.0716497154484684784339950803877 y[1] (numeric) = 1.0716497154484684784339950803877 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.427 Order of pole = 10.53 TOP MAIN SOLVE Loop x[1] = 0.101 y[1] (analytic) = 1.0723890331703297369661467986374 y[1] (numeric) = 1.0723890331703297369661467986374 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.427 Order of pole = 10.54 TOP MAIN SOLVE Loop x[1] = 0.102 y[1] (analytic) = 1.0731287859384434715820657264322 y[1] (numeric) = 1.0731287859384434715820657264323 absolute error = 1e-31 relative error = 9.3185460412890437030960773661299e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.427 Order of pole = 10.54 TOP MAIN SOLVE Loop memory used=3.8MB, alloc=2.8MB, time=0.15 x[1] = 0.103 y[1] (analytic) = 1.0738689732089573384619701038327 y[1] (numeric) = 1.0738689732089573384619701038328 absolute error = 1e-31 relative error = 9.3121230331460219547319010235752e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.427 Order of pole = 10.54 TOP MAIN SOLVE Loop x[1] = 0.104 y[1] (analytic) = 1.0746095944360963349326288173949 y[1] (numeric) = 1.074609594436096334932628817395 absolute error = 1e-31 relative error = 9.3057051153982309460109061501267e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.427 Order of pole = 10.55 TOP MAIN SOLVE Loop x[1] = 0.105 y[1] (analytic) = 1.0753506490721607816579558496064 y[1] (numeric) = 1.0753506490721607816579558496065 absolute error = 1e-31 relative error = 9.2992922900341838167108699254255e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.427 Order of pole = 10.55 TOP MAIN SOLVE Loop x[1] = 0.106 y[1] (analytic) = 1.0760921365675243106810269940089 y[1] (numeric) = 1.076092136567524310681026994009 absolute error = 1e-31 relative error = 9.2928845590281891033159334152818e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.427 Order of pole = 10.55 TOP MAIN SOLVE Loop x[1] = 0.107 y[1] (analytic) = 1.0768340563706318593449831868632 y[1] (numeric) = 1.0768340563706318593449831868633 absolute error = 1e-31 relative error = 9.2864819243403776018838582977036e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.428 Order of pole = 10.56 TOP MAIN SOLVE Loop x[1] = 0.108 y[1] (analytic) = 1.0775764079279976701203076283385 y[1] (numeric) = 1.0775764079279976701203076283386 absolute error = 1e-31 relative error = 9.2800843879167292398722999954158e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.428 Order of pole = 10.56 TOP MAIN SOLVE Loop x[1] = 0.109 y[1] (analytic) = 1.0783191906842032963659864682401 y[1] (numeric) = 1.0783191906842032963659864682402 absolute error = 1e-31 relative error = 9.2736919516890999567313638157414e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.428 Order of pole = 10.56 TOP MAIN SOLVE Loop memory used=7.6MB, alloc=3.9MB, time=0.29 x[1] = 0.11 y[1] (analytic) = 1.0790624040818956140520852122988 y[1] (numeric) = 1.079062404081895614052085212299 absolute error = 2e-31 relative error = 1.8534609235150497186140404715321e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.428 Order of pole = 10.57 TOP MAIN SOLVE Loop x[1] = 0.111 y[1] (analytic) = 1.0798060475617848394712951640979 y[1] (numeric) = 1.0798060475617848394712951640981 absolute error = 2e-31 relative error = 1.8521844774957727576411808989499e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.428 Order of pole = 10.57 TOP MAIN SOLVE Loop x[1] = 0.112 y[1] (analytic) = 1.0805501205626425529670261538775 y[1] (numeric) = 1.0805501205626425529670261538776 absolute error = 1e-31 relative error = 9.2545452632895908859034186744389e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.428 Order of pole = 10.57 TOP MAIN SOLVE Loop x[1] = 0.113 y[1] (analytic) = 1.0812946225212997287056435178028 y[1] (numeric) = 1.081294622521299728705643517803 absolute error = 2e-31 relative error = 1.8496346493766117696231492163084e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.428 Order of pole = 10.57 TOP MAIN SOLVE Loop x[1] = 0.114 y[1] (analytic) = 1.0820395528726447705204687788798 y[1] (numeric) = 1.08203955287264477052046877888 absolute error = 2e-31 relative error = 1.8483612680241814353068264780502e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.428 Order of pole = 10.58 TOP MAIN SOLVE Loop x[1] = 0.115 y[1] (analytic) = 1.082784911049621553855184742615 y[1] (numeric) = 1.0827849110496215538551847426151 absolute error = 1e-31 relative error = 9.2354445448508128417584803667958e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.428 Order of pole = 10.58 TOP MAIN SOLVE Loop x[1] = 0.116 y[1] (analytic) = 1.083530696483227473834306755824 y[1] (numeric) = 1.0835306964832274738343067558241 absolute error = 1e-31 relative error = 9.2290878629065172198986994776207e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.428 Order of pole = 10.58 TOP MAIN SOLVE Loop memory used=11.4MB, alloc=4.1MB, time=0.44 x[1] = 0.117 y[1] (analytic) = 1.0842769086025114994884026847589 y[1] (numeric) = 1.0842769086025114994884026847591 absolute error = 2e-31 relative error = 1.8445472592215706072836405796652e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.428 Order of pole = 10.59 TOP MAIN SOLVE Loop x[1] = 0.118 y[1] (analytic) = 1.0850235468345722341617647480157 y[1] (numeric) = 1.0850235468345722341617647480158 absolute error = 1e-31 relative error = 9.2163898462607713170312568998270e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.428 Order of pole = 10.59 TOP MAIN SOLVE Loop x[1] = 0.119 y[1] (analytic) = 1.0857706106045559821302566895818 y[1] (numeric) = 1.085770610604555982130256689582 absolute error = 2e-31 relative error = 1.8420097030314736690932765006227e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.428 Order of pole = 10.59 TOP MAIN SOLVE Loop x[1] = 0.12 y[1] (analytic) = 1.0865180993356548214570798969517 y[1] (numeric) = 1.0865180993356548214570798969519 absolute error = 2e-31 relative error = 1.8407424609151825255817009071690e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.428 Order of pole = 10.6 TOP MAIN SOLVE Loop x[1] = 0.121 y[1] (analytic) = 1.0872660124491046831142219575455 y[1] (numeric) = 1.0872660124491046831142219575457 absolute error = 2e-31 relative error = 1.8394762432561743727866077571767e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.428 Order of pole = 10.6 TOP MAIN SOLVE Loop x[1] = 0.122 y[1] (analytic) = 1.0880143493641834363973708027973 y[1] (numeric) = 1.0880143493641834363973708027975 absolute error = 2e-31 relative error = 1.8382110504045879847491207643435e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.428 Order of pole = 10.6 TOP MAIN SOLVE Loop x[1] = 0.123 y[1] (analytic) = 1.0887631094982089806620970122912 y[1] (numeric) = 1.0887631094982089806620970122914 absolute error = 2e-31 relative error = 1.8369468827078127663083080461795e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.428 Order of pole = 10.6 TOP MAIN SOLVE Loop x[1] = 0.124 y[1] (analytic) = 1.0895122922665373434091260392996 y[1] (numeric) = 1.0895122922665373434091260392998 absolute error = 2e-31 relative error = 1.8356837405104941509599833016151e-29 % Correct digits = 30 h = 0.001 memory used=15.2MB, alloc=4.2MB, time=0.60 Complex estimate of poles used for equation 1 Radius of convergence = 4.428 Order of pole = 10.61 TOP MAIN SOLVE Loop x[1] = 0.125 y[1] (analytic) = 1.0902618970825607847465410730894 y[1] (numeric) = 1.0902618970825607847465410730896 absolute error = 2e-31 relative error = 1.8344216241545389998654395194532e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.428 Order of pole = 10.61 TOP MAIN SOLVE Loop x[1] = 0.126 y[1] (analytic) = 1.0910119233577059082567759714781 y[1] (numeric) = 1.0910119233577059082567759714783 absolute error = 2e-31 relative error = 1.8331605339791210019732498303408e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.428 Order of pole = 10.61 TOP MAIN SOLVE Loop x[1] = 0.127 y[1] (analytic) = 1.0917623705014317782962761784248 y[1] (numeric) = 1.091762370501431778296276178425 absolute error = 2e-31 relative error = 1.8319004703206860752173695824694e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.428 Order of pole = 10.61 TOP MAIN SOLVE Loop x[1] = 0.128 y[1] (analytic) = 1.0925132379212280437557237849985 y[1] (numeric) = 1.0925132379212280437557237849987 absolute error = 2e-31 relative error = 1.8306414335129577687548732431869e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.428 Order of pole = 10.62 TOP MAIN SOLVE Loop x[1] = 0.129 y[1] (analytic) = 1.0932645250226130683087408969578 y[1] (numeric) = 1.093264525022613068308740896958 absolute error = 2e-31 relative error = 1.8293834238869426662067593037526e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.428 Order of pole = 10.62 TOP MAIN SOLVE Loop x[1] = 0.13 y[1] (analytic) = 1.0940162312091320671770032374777 y[1] (numeric) = 1.0940162312091320671770032374778 absolute error = 1e-31 relative error = 9.1406322088546789493267799562890e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.428 Order of pole = 10.62 TOP MAIN SOLVE Loop x[1] = 0.131 y[1] (analytic) = 1.0947683558823552504397134383437 y[1] (numeric) = 1.0947683558823552504397134383438 absolute error = 1e-31 relative error = 9.1343524374526300291598013445938e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.428 Order of pole = 10.63 TOP MAIN SOLVE Loop memory used=19.0MB, alloc=4.3MB, time=0.75 x[1] = 0.132 y[1] (analytic) = 1.0955208984418759729154007562858 y[1] (numeric) = 1.0955208984418759729154007562859 absolute error = 1e-31 relative error = 9.1280778068430071502422116609080e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.428 Order of pole = 10.63 TOP MAIN SOLVE Loop x[1] = 0.133 y[1] (analytic) = 1.0962738582853088906440309921105 y[1] (numeric) = 1.0962738582853088906440309921106 absolute error = 1e-31 relative error = 9.1218083186267741759332379102456e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.428 Order of pole = 10.63 TOP MAIN SOLVE Loop x[1] = 0.134 y[1] (analytic) = 1.0970272348082881239974271880028 y[1] (numeric) = 1.0970272348082881239974271880029 absolute error = 1e-31 relative error = 9.1155439743914452917976393869020e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.428 Order of pole = 10.63 TOP MAIN SOLVE Loop x[1] = 0.135 y[1] (analytic) = 1.0977810274044654274460182318726 y[1] (numeric) = 1.0977810274044654274460182318727 absolute error = 1e-31 relative error = 9.1092847757111120480901686667041e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.428 Order of pole = 10.63 TOP MAIN SOLVE Loop x[1] = 0.136 y[1] (analytic) = 1.0985352354655083660099488060091 y[1] (numeric) = 1.0985352354655083660099488060093 absolute error = 2e-31 relative error = 1.8206061448292940811978990423318e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.428 Order of pole = 10.64 TOP MAIN SOLVE Loop x[1] = 0.137 y[1] (analytic) = 1.0992898583810984984226001796472 y[1] (numeric) = 1.0992898583810984984226001796474 absolute error = 2e-31 relative error = 1.8193563642489695574805498453189e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.428 Order of pole = 10.64 TOP MAIN SOLVE Loop x[1] = 0.138 y[1] (analytic) = 1.1000448955389295670345871604335 y[1] (numeric) = 1.1000448955389295670345871604337 absolute error = 2e-31 relative error = 1.8181076137080460256324686741709e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.428 Order of pole = 10.64 TOP MAIN SOLVE Loop x[1] = 0.139 y[1] (analytic) = 1.1008003463247056944863120872845 y[1] (numeric) = 1.1008003463247056944863120872847 absolute error = 2e-31 relative error = 1.8168598935106577868874460181134e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.428 Order of pole = 10.64 TOP MAIN SOLVE Loop memory used=22.8MB, alloc=4.3MB, time=0.91 x[1] = 0.14 y[1] (analytic) = 1.1015562101221395871771720658359 y[1] (numeric) = 1.1015562101221395871771720658362 absolute error = 3e-31 relative error = 2.7234198059374225026543758075904e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.428 Order of pole = 10.65 TOP MAIN SOLVE Loop x[1] = 0.141 y[1] (analytic) = 1.1023124863129507455595307166781 y[1] (numeric) = 1.1023124863129507455595307166784 absolute error = 3e-31 relative error = 2.7215513180246136538325246451444e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.428 Order of pole = 10.65 TOP MAIN SOLVE Loop x[1] = 0.142 y[1] (analytic) = 1.1030691742768636812855805249369 y[1] (numeric) = 1.1030691742768636812855805249372 absolute error = 3e-31 relative error = 2.7196843769718273094056197111926e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.428 Order of pole = 10.65 TOP MAIN SOLVE Loop x[1] = 0.143 y[1] (analytic) = 1.1038262733916061412352364465844 y[1] (numeric) = 1.1038262733916061412352364465846 absolute error = 2e-31 relative error = 1.8118793221462458615264295010570e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.428 Order of pole = 10.65 TOP MAIN SOLVE Loop x[1] = 0.144 y[1] (analytic) = 1.1045837830329073384532157412235 y[1] (numeric) = 1.1045837830329073384532157412238 absolute error = 3e-31 relative error = 2.7159551372035896937265568007146e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.427 Order of pole = 10.66 TOP MAIN SOLVE Loop x[1] = 0.145 y[1] (analytic) = 1.1053417025744961900234730620875 y[1] (numeric) = 1.1053417025744961900234730620878 absolute error = 3e-31 relative error = 2.7140928393568959948816561803662e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.427 Order of pole = 10.66 TOP MAIN SOLVE Loop x[1] = 0.146 y[1] (analytic) = 1.106100031388099561909173640697 y[1] (numeric) = 1.1061000313880995619091736406974 absolute error = 4e-31 relative error = 3.6163094534770082520480192826991e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.427 Order of pole = 10.66 TOP MAIN SOLVE Loop memory used=26.7MB, alloc=4.3MB, time=1.07 x[1] = 0.147 y[1] (analytic) = 1.1068587688434405207864009551344 y[1] (numeric) = 1.1068587688434405207864009551347 absolute error = 3e-31 relative error = 2.7103728898807094043218275275725e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.427 Order of pole = 10.66 TOP MAIN SOLVE Loop x[1] = 0.148 y[1] (analytic) = 1.107617914308236592899808566293 y[1] (numeric) = 1.1076179143082365928998085662934 absolute error = 4e-31 relative error = 3.6113536521284980359315778159462e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.427 Order of pole = 10.66 TOP MAIN SOLVE Loop x[1] = 0.149 y[1] (analytic) = 1.1083774671481980299684388448512 y[1] (numeric) = 1.1083774671481980299684388448516 absolute error = 4e-31 relative error = 3.6088788508952710998251983338239e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.427 Order of pole = 10.67 TOP MAIN SOLVE Loop x[1] = 0.15 y[1] (analytic) = 1.1091374267270260821699440921753 y[1] (numeric) = 1.1091374267270260821699440921757 absolute error = 4e-31 relative error = 3.6064061166916647624403008398609e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.427 Order of pole = 10.67 TOP MAIN SOLVE Loop x[1] = 0.151 y[1] (analytic) = 1.1098977924064112782314580799853 y[1] (numeric) = 1.1098977924064112782314580799857 absolute error = 4e-31 relative error = 3.6039354500628828956858386130905e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.427 Order of pole = 10.67 TOP MAIN SOLVE Loop x[1] = 0.152 y[1] (analytic) = 1.1106585635460317126553782954979 y[1] (numeric) = 1.1106585635460317126553782954983 absolute error = 4e-31 relative error = 3.6014668515489443779466514976634e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.427 Order of pole = 10.67 TOP MAIN SOLVE Loop x[1] = 0.153 y[1] (analytic) = 1.1114197395035513401083311799965 y[1] (numeric) = 1.1114197395035513401083311799969 absolute error = 4e-31 relative error = 3.5990003216846939272916380728114e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.427 Order of pole = 10.67 TOP MAIN SOLVE Loop x[1] = 0.154 y[1] (analytic) = 1.1121813196346182770016043884598 y[1] (numeric) = 1.1121813196346182770016043884603 absolute error = 5e-31 relative error = 4.4956698262497661686558783330962e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.427 Order of pole = 10.67 TOP MAIN SOLVE Loop memory used=30.5MB, alloc=4.3MB, time=1.23 x[1] = 0.155 y[1] (analytic) = 1.1129433032928631102913415751031 y[1] (numeric) = 1.1129433032928631102913415751036 absolute error = 5e-31 relative error = 4.4925918375235378735131875966917e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.427 Order of pole = 10.68 TOP MAIN SOLVE Loop x[1] = 0.156 y[1] (analytic) = 1.1137056898298972135268064235479 y[1] (numeric) = 1.1137056898298972135268064235484 absolute error = 5e-31 relative error = 4.4895164365764165717595023689939e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.426 Order of pole = 10.68 TOP MAIN SOLVE Loop x[1] = 0.157 y[1] (analytic) = 1.1144684785953110701750335899352 y[1] (numeric) = 1.1144684785953110701750335899357 absolute error = 5e-31 relative error = 4.4864436240512227793006367102351e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.426 Order of pole = 10.68 TOP MAIN SOLVE Loop x[1] = 0.158 y[1] (analytic) = 1.1152316689366726042501949117293 y[1] (numeric) = 1.1152316689366726042501949117298 absolute error = 5e-31 relative error = 4.4833734005843770220561735705878e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.426 Order of pole = 10.68 TOP MAIN SOLVE Loop x[1] = 0.159 y[1] (analytic) = 1.1159952601995255182760196533291 y[1] (numeric) = 1.1159952601995255182760196533296 absolute error = 5e-31 relative error = 4.4803057668059133780218837875933e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.426 Order of pole = 10.68 TOP MAIN SOLVE Loop x[1] = 0.16 y[1] (analytic) = 1.116759251727387638609617711007 y[1] (numeric) = 1.1167592517273876386096177110075 absolute error = 5e-31 relative error = 4.4772407233394930191299301440110e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.426 Order of pole = 10.68 TOP MAIN SOLVE Loop x[1] = 0.161 y[1] (analytic) = 1.1175236428617492681550645832389 y[1] (numeric) = 1.1175236428617492681550645832394 absolute error = 5e-31 relative error = 4.4741782708024177528234558280385e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.426 Order of pole = 10.69 TOP MAIN SOLVE Loop x[1] = 0.162 y[1] (analytic) = 1.1182884329420715464951165272725 y[1] (numeric) = 1.118288432942071546495116527273 absolute error = 5e-31 relative error = 4.4711184098056435632624081268734e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.426 Order of pole = 10.69 memory used=34.3MB, alloc=4.3MB, time=1.38 TOP MAIN SOLVE Loop x[1] = 0.163 y[1] (analytic) = 1.1190536213057848174694336679096 y[1] (numeric) = 1.1190536213057848174694336679101 absolute error = 5e-31 relative error = 4.4680611409537941520776996975634e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.426 Order of pole = 10.69 TOP MAIN SOLVE Loop x[1] = 0.164 y[1] (analytic) = 1.1198192072882870042276978990587 y[1] (numeric) = 1.1198192072882870042276978990592 absolute error = 5e-31 relative error = 4.4650064648451744785910612929690e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.426 Order of pole = 10.69 TOP MAIN SOLVE Loop x[1] = 0.165 y[1] (analytic) = 1.1205851902229419917860212217532 y[1] (numeric) = 1.1205851902229419917860212217537 absolute error = 5e-31 relative error = 4.4619543820717842994181913724579e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.425 Order of pole = 10.69 TOP MAIN SOLVE Loop x[1] = 0.166 y[1] (analytic) = 1.121351569441078017115048693132 y[1] (numeric) = 1.1213515694410780171150486931325 absolute error = 5e-31 relative error = 4.4589048932193317073730595936607e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.425 Order of pole = 10.69 TOP MAIN SOLVE Loop x[1] = 0.167 y[1] (analytic) = 1.1221183442719860667881684184595 y[1] (numeric) = 1.12211834427198606678816841846 absolute error = 5e-31 relative error = 4.4558579988672466695914727602376e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.425 Order of pole = 10.69 TOP MAIN SOLVE Loop x[1] = 0.168 y[1] (analytic) = 1.1228855140429182822182490017247 y[1] (numeric) = 1.1228855140429182822182490017252 absolute error = 5e-31 relative error = 4.4528136995886945647922633881757e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.425 Order of pole = 10.69 TOP MAIN SOLVE Loop x[1] = 0.169 y[1] (analytic) = 1.1236530780790863725113325788189 y[1] (numeric) = 1.1236530780790863725113325788193 absolute error = 4e-31 relative error = 3.5598175967604717756757701173466e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.425 Order of pole = 10.7 TOP MAIN SOLVE Loop memory used=38.1MB, alloc=4.3MB, time=1.54 x[1] = 0.17 y[1] (analytic) = 1.1244210357036600349657189898601 y[1] (numeric) = 1.1244210357036600349657189898606 absolute error = 5e-31 relative error = 4.4467328885136089438110710263101e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.425 Order of pole = 10.7 TOP MAIN SOLVE Loop x[1] = 0.171 y[1] (analytic) = 1.125189386237765383244883803029 y[1] (numeric) = 1.1251893862377653832448838030295 absolute error = 5e-31 relative error = 4.4436963778322050646332916835417e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.425 Order of pole = 10.7 TOP MAIN SOLVE Loop x[1] = 0.172 y[1] (analytic) = 1.1259581290004833832526797804082 y[1] (numeric) = 1.1259581290004833832526797804087 absolute error = 5e-31 relative error = 4.4406624644546204596333430049005e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.424 Order of pole = 10.7 TOP MAIN SOLVE Loop x[1] = 0.173 y[1] (analytic) = 1.1267272633088482967392779759101 y[1] (numeric) = 1.1267272633088482967392779759106 absolute error = 5e-31 relative error = 4.4376311489229005884967185215381e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.424 Order of pole = 10.7 TOP MAIN SOLVE Loop x[1] = 0.174 y[1] (analytic) = 1.127496788477846132666310975539 y[1] (numeric) = 1.1274967884778461326663109755395 absolute error = 5e-31 relative error = 4.4346024317729075234090138845727e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.424 Order of pole = 10.7 TOP MAIN SOLVE Loop x[1] = 0.175 y[1] (analytic) = 1.1282667038204131063596868300891 y[1] (numeric) = 1.1282667038204131063596868300895 absolute error = 4e-31 relative error = 3.5452610508274667824125537432603e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.424 Order of pole = 10.7 TOP MAIN SOLVE Loop x[1] = 0.176 y[1] (analytic) = 1.1290370086474341064785479890522 y[1] (numeric) = 1.1290370086474341064785479890527 absolute error = 5e-31 relative error = 4.4285527947307143348754104077416e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.424 Order of pole = 10.7 TOP MAIN SOLVE Loop x[1] = 0.177 y[1] (analytic) = 1.1298077022677411698288550211185 y[1] (numeric) = 1.129807702267741169828855021119 absolute error = 5e-31 relative error = 4.4255318758794431713275315110191e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.424 Order of pole = 10.7 TOP MAIN SOLVE Loop memory used=41.9MB, alloc=4.3MB, time=1.70 x[1] = 0.178 y[1] (analytic) = 1.1305787839881119640500801003184 y[1] (numeric) = 1.1305787839881119640500801003189 absolute error = 5e-31 relative error = 4.4225135574917837836946978059568e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.423 Order of pole = 10.71 TOP MAIN SOLVE Loop x[1] = 0.179 y[1] (analytic) = 1.1313502531132682782035001467147 y[1] (numeric) = 1.1313502531132682782035001467152 absolute error = 5e-31 relative error = 4.4194978400728842097415932183550e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.423 Order of pole = 10.71 TOP MAIN SOLVE Loop x[1] = 0.18 y[1] (analytic) = 1.1321221089458745212905841357176 y[1] (numeric) = 1.1321221089458745212905841357181 absolute error = 5e-31 relative error = 4.4164847241217902493112731491693e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.423 Order of pole = 10.71 TOP MAIN SOLVE Loop x[1] = 0.181 y[1] (analytic) = 1.1328943507865362287299734297069 y[1] (numeric) = 1.1328943507865362287299734297073 absolute error = 4e-31 relative error = 3.5307793681051671864485538029096e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.423 Order of pole = 10.71 TOP MAIN SOLVE Loop x[1] = 0.182 y[1] (analytic) = 1.1336669779337985768215580388233 y[1] (numeric) = 1.1336669779337985768215580388238 absolute error = 5e-31 relative error = 4.4104662985887722892173118174684e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.423 Order of pole = 10.71 TOP MAIN SOLVE Loop x[1] = 0.183 y[1] (analytic) = 1.1344399896841449052261554836763 y[1] (numeric) = 1.1344399896841449052261554836767 absolute error = 4e-31 relative error = 3.5259687919796402866231358286475e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.423 Order of pole = 10.71 TOP MAIN SOLVE Loop x[1] = 0.184 y[1] (analytic) = 1.1352133853319952474893024104263 y[1] (numeric) = 1.1352133853319952474893024104267 absolute error = 4e-31 relative error = 3.5235666278108521644632382678372e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.422 Order of pole = 10.71 TOP MAIN SOLVE Loop x[1] = 0.185 y[1] (analytic) = 1.1359871641697048696376722973921 y[1] (numeric) = 1.1359871641697048696376722973925 absolute error = 4e-31 relative error = 3.5211665467396433453124969355880e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.422 Order of pole = 10.71 memory used=45.7MB, alloc=4.3MB, time=1.86 TOP MAIN SOLVE Loop x[1] = 0.186 y[1] (analytic) = 1.1367613254875628168766354911175 y[1] (numeric) = 1.1367613254875628168766354911179 absolute error = 4e-31 relative error = 3.5187685491361867841925823864533e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.422 Order of pole = 10.71 TOP MAIN SOLVE Loop x[1] = 0.187 y[1] (analytic) = 1.1375358685737904684174804178697 y[1] (numeric) = 1.1375358685737904684174804178701 absolute error = 4e-31 relative error = 3.5163726353658493152877173741703e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.422 Order of pole = 10.71 TOP MAIN SOLVE Loop x[1] = 0.188 y[1] (analytic) = 1.1383107927145401004628171329537 y[1] (numeric) = 1.138310792714540100462817132954 absolute error = 3e-31 relative error = 2.6354841043419018409125122546388e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.422 Order of pole = 10.71 TOP MAIN SOLVE Loop x[1] = 0.189 y[1] (analytic) = 1.1390860971938934573786863941642 y[1] (numeric) = 1.1390860971938934573786863941646 absolute error = 4e-31 relative error = 3.5115870607620332002898548998912e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.421 Order of pole = 10.71 TOP MAIN SOLVE Loop x[1] = 0.19 y[1] (analytic) = 1.1398617812938603310818991763012 y[1] (numeric) = 1.1398617812938603310818991763015 absolute error = 3e-31 relative error = 2.6318980504765161237677868784514e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.421 Order of pole = 10.71 TOP MAIN SOLVE Loop x[1] = 0.191 y[1] (analytic) = 1.1406378442943771486711329800807 y[1] (numeric) = 1.140637844294377148671132980081 absolute error = 3e-31 relative error = 2.6301073693165632788891191620830e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.421 Order of pole = 10.71 TOP MAIN SOLVE Loop x[1] = 0.192 y[1] (analytic) = 1.1414142854733055683303124301458 y[1] (numeric) = 1.1414142854733055683303124301462 absolute error = 4e-31 relative error = 3.5044243364637200486407623259645e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.421 Order of pole = 10.71 TOP MAIN SOLVE Loop memory used=49.5MB, alloc=4.3MB, time=2.02 x[1] = 0.193 y[1] (analytic) = 1.142191104106431083532802502344 y[1] (numeric) = 1.1421911041064310835328025023444 absolute error = 4e-31 relative error = 3.5020409330970187532770852131871e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.421 Order of pole = 10.71 TOP MAIN SOLVE Loop x[1] = 0.194 y[1] (analytic) = 1.1429682994674616355749432691614 y[1] (numeric) = 1.1429682994674616355749432691618 absolute error = 4e-31 relative error = 3.4996596159873401632768994999095e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.42 Order of pole = 10.71 TOP MAIN SOLVE Loop x[1] = 0.195 y[1] (analytic) = 1.1437458708280262344674553033261 y[1] (numeric) = 1.1437458708280262344674553033266 absolute error = 5e-31 relative error = 4.3716004818274885787664276900889e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.42 Order of pole = 10.71 TOP MAIN SOLVE Loop x[1] = 0.196 y[1] (analytic) = 1.1445238174576735882132448322714 y[1] (numeric) = 1.1445238174576735882132448322719 absolute error = 5e-31 relative error = 4.3686290523044605773015471373692e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.42 Order of pole = 10.72 TOP MAIN SOLVE Loop x[1] = 0.197 y[1] (analytic) = 1.1453021386238707405001373895366 y[1] (numeric) = 1.1453021386238707405001373895371 absolute error = 5e-31 relative error = 4.3656602318124654704933028892647e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.42 Order of pole = 10.72 TOP MAIN SOLVE Loop x[1] = 0.198 y[1] (analytic) = 1.1460808335920017168370680624425 y[1] (numeric) = 1.146080833592001716837068062443 absolute error = 5e-31 relative error = 4.3626940207430182629058257380067e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.419 Order of pole = 10.72 TOP MAIN SOLVE Loop x[1] = 0.199 y[1] (analytic) = 1.1468599016253661791622554876551 y[1] (numeric) = 1.1468599016253661791622554876555 absolute error = 4e-31 relative error = 3.4877843355854305314254538857456e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.419 Order of pole = 10.72 TOP MAIN SOLVE Loop x[1] = 0.2 y[1] (analytic) = 1.1476393419851780889518854967183 y[1] (numeric) = 1.1476393419851780889518854967188 absolute error = 5e-31 relative error = 4.3567694284086120576066981124042e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.419 Order of pole = 10.72 TOP MAIN SOLVE Loop memory used=53.4MB, alloc=4.4MB, time=2.18 x[1] = 0.201 y[1] (analytic) = 1.1484191539305643788578287614512 y[1] (numeric) = 1.1484191539305643788578287614517 absolute error = 5e-31 relative error = 4.3538110478975079637572911108926e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.419 Order of pole = 10.72 TOP MAIN SOLVE Loop x[1] = 0.202 y[1] (analytic) = 1.149199336718563632902914933425 y[1] (numeric) = 1.1491993367185636329029149334255 absolute error = 5e-31 relative error = 4.3508552783166885026619413738954e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.418 Order of pole = 10.72 TOP MAIN SOLVE Loop x[1] = 0.203 y[1] (analytic) = 1.1499798896041247752622836117407 y[1] (numeric) = 1.1499798896041247752622836117412 absolute error = 5e-31 relative error = 4.3479021200285743508992191211755e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.418 Order of pole = 10.72 TOP MAIN SOLVE Loop x[1] = 0.204 y[1] (analytic) = 1.1507608118401057676593300081713 y[1] (numeric) = 1.1507608118401057676593300081718 absolute error = 5e-31 relative error = 4.3449515733898076956626061707847e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.418 Order of pole = 10.72 TOP MAIN SOLVE Loop x[1] = 0.205 y[1] (analytic) = 1.1515421026772723154047604075931 y[1] (numeric) = 1.1515421026772723154047604075937 absolute error = 6e-31 relative error = 5.2104043665015188220225772529181e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.418 Order of pole = 10.72 TOP MAIN SOLVE Loop x[1] = 0.206 y[1] (analytic) = 1.1523237613642965821072694436795 y[1] (numeric) = 1.1523237613642965821072694436801 absolute error = 6e-31 relative error = 5.2068699797496886492651618276135e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.417 Order of pole = 10.72 TOP MAIN SOLVE Loop x[1] = 0.207 y[1] (analytic) = 1.1531057871477559130843478242338 y[1] (numeric) = 1.1531057871477559130843478242344 absolute error = 6e-31 relative error = 5.2033387282195436030057597569041e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.417 Order of pole = 10.72 TOP MAIN SOLVE Loop x[1] = 0.208 y[1] (analytic) = 1.1538881792721315675017254464843 y[1] (numeric) = 1.1538881792721315675017254464849 absolute error = 6e-31 relative error = 5.1998106123114789161555059568414e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.417 Order of pole = 10.72 TOP MAIN SOLVE Loop memory used=57.2MB, alloc=4.4MB, time=2.34 x[1] = 0.209 y[1] (analytic) = 1.1546709369798074592699508393171 y[1] (numeric) = 1.1546709369798074592699508393177 absolute error = 6e-31 relative error = 5.1962856324190362897109885876149e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.417 Order of pole = 10.72 TOP MAIN SOLVE Loop x[1] = 0.21 y[1] (analytic) = 1.1554540595110689067266035559746 y[1] (numeric) = 1.1554540595110689067266035559753 absolute error = 7e-31 relative error = 6.0582244204170733444565577966952e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.416 Order of pole = 10.72 TOP MAIN SOLVE Loop x[1] = 0.211 y[1] (analytic) = 1.1562375461041013911326315163712 y[1] (numeric) = 1.1562375461041013911326315163719 absolute error = 7e-31 relative error = 6.0541192625911819011985247205090e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.416 Order of pole = 10.72 TOP MAIN SOLVE Loop x[1] = 0.212 y[1] (analytic) = 1.157021395994989324011300362061 y[1] (numeric) = 1.1570213959949893240113003620617 absolute error = 7e-31 relative error = 6.0500177647797920918872863767701e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.416 Order of pole = 10.72 TOP MAIN SOLVE Loop x[1] = 0.213 y[1] (analytic) = 1.157805608417714823358236638225 y[1] (numeric) = 1.1578056084177148233582366382257 absolute error = 7e-31 relative error = 6.0459199274102407227965235579656e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.416 Order of pole = 10.72 TOP MAIN SOLVE Loop x[1] = 0.214 y[1] (analytic) = 1.158590182604156498751041055006 y[1] (numeric) = 1.1585901826041564987510410550067 absolute error = 7e-31 relative error = 6.0418257509019627686359857710711e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.415 Order of pole = 10.72 TOP MAIN SOLVE Loop x[1] = 0.215 y[1] (analytic) = 1.1593751177840882453869422043088 y[1] (numeric) = 1.1593751177840882453869422043095 absolute error = 7e-31 relative error = 6.0377352356665101455298268865599e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.415 Order of pole = 10.71 TOP MAIN SOLVE Loop memory used=61.0MB, alloc=4.4MB, time=2.49 x[1] = 0.216 y[1] (analytic) = 1.1601604131851780470769549169878 y[1] (numeric) = 1.1601604131851780470769549169886 absolute error = 8e-31 relative error = 6.8955981509800805459598519892840e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.415 Order of pole = 10.71 TOP MAIN SOLVE Loop x[1] = 0.217 y[1] (analytic) = 1.1609460680329867882250009383611 y[1] (numeric) = 1.1609460680329867882250009383618 absolute error = 7e-31 relative error = 6.0295651906209858578617005362531e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.414 Order of pole = 10.71 TOP MAIN SOLVE Loop x[1] = 0.218 y[1] (analytic) = 1.1617320815509670748204427764138 y[1] (numeric) = 1.1617320815509670748204427764145 absolute error = 7e-31 relative error = 6.0254856615947716009218207445727e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.414 Order of pole = 10.71 TOP MAIN SOLVE Loop x[1] = 0.219 y[1] (analytic) = 1.1625184529604620644724744360905 y[1] (numeric) = 1.1625184529604620644724744360912 absolute error = 7e-31 relative error = 6.0214097954091349914044738828329e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.414 Order of pole = 10.71 TOP MAIN SOLVE Loop x[1] = 0.22 y[1] (analytic) = 1.163305181480704305514805293915 y[1] (numeric) = 1.1633051814807043055148052939157 absolute error = 7e-31 relative error = 6.0173375924364940239870595364456e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.414 Order of pole = 10.71 TOP MAIN SOLVE Loop x[1] = 0.221 y[1] (analytic) = 1.1640922663288145852090655890358 y[1] (numeric) = 1.1640922663288145852090655890365 absolute error = 7e-31 relative error = 6.0132690530414961373634362958725e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.413 Order of pole = 10.71 TOP MAIN SOLVE Loop x[1] = 0.222 y[1] (analytic) = 1.1648797067198007870753539088712 y[1] (numeric) = 1.1648797067198007870753539088718 absolute error = 6e-31 relative error = 5.1507464379266030924869211929503e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.413 Order of pole = 10.71 TOP MAIN SOLVE Loop x[1] = 0.223 y[1] (analytic) = 1.1656675018665567573783386290306 y[1] (numeric) = 1.1656675018665567573783386290312 absolute error = 6e-31 relative error = 5.1472653997750962311551780544662e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.413 Order of pole = 10.71 TOP MAIN SOLVE Loop memory used=64.8MB, alloc=4.4MB, time=2.65 x[1] = 0.224 y[1] (analytic) = 1.1664556509798611807973165273349 y[1] (numeric) = 1.1664556509798611807973165273355 absolute error = 6e-31 relative error = 5.1437875027308601949878328575100e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.412 Order of pole = 10.71 TOP MAIN SOLVE Loop x[1] = 0.225 y[1] (analytic) = 1.167244153268376465308622729751 y[1] (numeric) = 1.1672441532683764653086227297516 absolute error = 6e-31 relative error = 5.1403127470799684822733240409202e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.412 Order of pole = 10.71 TOP MAIN SOLVE Loop x[1] = 0.226 y[1] (analytic) = 1.1680330079386476363087767611207 y[1] (numeric) = 1.1680330079386476363087767611213 absolute error = 6e-31 relative error = 5.1368411331019143128719731596398e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.412 Order of pole = 10.71 TOP MAIN SOLVE Loop x[1] = 0.227 y[1] (analytic) = 1.168822214195101240006739764913 y[1] (numeric) = 1.1688222141951012400067397649135 absolute error = 5e-31 relative error = 4.2778105508913555410978713578724e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.411 Order of pole = 10.71 TOP MAIN SOLVE Loop x[1] = 0.228 y[1] (analytic) = 1.1696117712400442561136479230812 y[1] (numeric) = 1.1696117712400442561136479230817 absolute error = 5e-31 relative error = 4.2749227760412385096301242524069e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.411 Order of pole = 10.71 TOP MAIN SOLVE Loop x[1] = 0.229 y[1] (analytic) = 1.1704016782736630198583767486938 y[1] (numeric) = 1.1704016782736630198583767486943 absolute error = 5e-31 relative error = 4.2720376199177845710374201804721e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.411 Order of pole = 10.71 TOP MAIN SOLVE Loop x[1] = 0.23 y[1] (analytic) = 1.1711919344940221533572802395412 y[1] (numeric) = 1.1711919344940221533572802395417 absolute error = 5e-31 relative error = 4.2691550827321039362729321363185e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.411 Order of pole = 10.71 TOP MAIN SOLVE Loop x[1] = 0.231 y[1] (analytic) = 1.1719825390970635063664378696446 y[1] (numeric) = 1.1719825390970635063664378696451 absolute error = 5e-31 relative error = 4.2662751646898899518426588912289e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.41 Order of pole = 10.71 TOP MAIN SOLVE Loop memory used=68.6MB, alloc=4.4MB, time=2.81 x[1] = 0.232 y[1] (analytic) = 1.1727734912766051064447310567217 y[1] (numeric) = 1.1727734912766051064447310567222 absolute error = 5e-31 relative error = 4.2633978659914324235533054022823e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.41 Order of pole = 10.71 TOP MAIN SOLVE Loop x[1] = 0.233 y[1] (analytic) = 1.1735647902243401185560590764439 y[1] (numeric) = 1.1735647902243401185560590764444 absolute error = 5e-31 relative error = 4.2605231868316309346289720242505e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.41 Order of pole = 10.71 TOP MAIN SOLVE Loop x[1] = 0.234 y[1] (analytic) = 1.1743564351298358141389923979753 y[1] (numeric) = 1.1743564351298358141389923979758 absolute error = 5e-31 relative error = 4.2576511274000081581314970162724e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.409 Order of pole = 10.71 TOP MAIN SOLVE Loop x[1] = 0.235 y[1] (analytic) = 1.1751484251805325496721490890614 y[1] (numeric) = 1.1751484251805325496721490890619 absolute error = 5e-31 relative error = 4.2547816878807231636195427855373e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.409 Order of pole = 10.7 TOP MAIN SOLVE Loop x[1] = 0.236 y[1] (analytic) = 1.1759407595617427547635672820694 y[1] (numeric) = 1.1759407595617427547635672820699 absolute error = 5e-31 relative error = 4.2519148684525847179817620918162e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.409 Order of pole = 10.7 TOP MAIN SOLVE Loop x[1] = 0.237 y[1] (analytic) = 1.1767334374566499297923337041197 y[1] (numeric) = 1.1767334374566499297923337041202 absolute error = 5e-31 relative error = 4.2490506692890645803796260470358e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.408 Order of pole = 10.7 TOP MAIN SOLVE Loop x[1] = 0.238 y[1] (analytic) = 1.1775264580463076531307149540348 y[1] (numeric) = 1.1775264580463076531307149540353 absolute error = 5e-31 relative error = 4.2461890905583107912357411809577e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.408 Order of pole = 10.7 TOP MAIN SOLVE Loop x[1] = 0.239 y[1] (analytic) = 1.1783198205096385979750245555105 y[1] (numeric) = 1.178319820509638597975024555511 memory used=72.4MB, alloc=4.4MB, time=2.97 absolute error = 5e-31 relative error = 4.2433301324231609552037281051884e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.408 Order of pole = 10.7 TOP MAIN SOLVE Loop x[1] = 0.24 y[1] (analytic) = 1.1791135240234335588134448289467 y[1] (numeric) = 1.1791135240234335588134448289472 absolute error = 5e-31 relative error = 4.2404737950411555180559793909381e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.407 Order of pole = 10.7 TOP MAIN SOLVE Loop x[1] = 0.241 y[1] (analytic) = 1.1799075677623504875590083030037 y[1] (numeric) = 1.1799075677623504875590083030042 absolute error = 5e-31 relative error = 4.2376200785645510374258591790091e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.407 Order of pole = 10.7 TOP MAIN SOLVE Loop x[1] = 0.242 y[1] (analytic) = 1.1807019508989135393759287304392 y[1] (numeric) = 1.1807019508989135393759287304397 absolute error = 5e-31 relative error = 4.2347689831403334473411517611835e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.407 Order of pole = 10.7 TOP MAIN SOLVE Loop x[1] = 0.243 y[1] (analytic) = 1.181496672603512128227456780386 y[1] (numeric) = 1.1814966726035121282274567803865 absolute error = 5e-31 relative error = 4.2319205089102313164858109083266e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.406 Order of pole = 10.7 TOP MAIN SOLVE Loop x[1] = 0.244 y[1] (analytic) = 1.1822917320443999921734201502163 y[1] (numeric) = 1.1822917320443999921734201502167 absolute error = 4e-31 relative error = 3.3832597248085832801018448559489e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.406 Order of pole = 10.7 TOP MAIN SOLVE Loop x[1] = 0.245 y[1] (analytic) = 1.1830871283876942684455921737657 y[1] (numeric) = 1.1830871283876942684455921737661 absolute error = 4e-31 relative error = 3.3809851396584643085176845843049e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.406 Order of pole = 10.7 TOP MAIN SOLVE Loop x[1] = 0.246 y[1] (analytic) = 1.1838828607973745783290169982331 y[1] (numeric) = 1.1838828607973745783290169982335 absolute error = 4e-31 relative error = 3.3787126517786569052896657412182e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.405 Order of pole = 10.7 TOP MAIN SOLVE Loop memory used=76.2MB, alloc=4.4MB, time=3.14 x[1] = 0.247 y[1] (analytic) = 1.1846789284352821218774030587907 y[1] (numeric) = 1.1846789284352821218774030587911 absolute error = 4e-31 relative error = 3.3764422612658263202598925661273e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.405 Order of pole = 10.69 TOP MAIN SOLVE Loop x[1] = 0.248 y[1] (analytic) = 1.1854753304611187824906798971207 y[1] (numeric) = 1.185475330461118782490679897121 absolute error = 3e-31 relative error = 2.5306304761593636502748519397682e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.405 Order of pole = 10.69 TOP MAIN SOLVE Loop x[1] = 0.249 y[1] (analytic) = 1.1862720660324462413827963470002 y[1] (numeric) = 1.1862720660324462413827963470006 absolute error = 4e-31 relative error = 3.3719077727070024984354823345679e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.404 Order of pole = 10.69 TOP MAIN SOLVE Loop x[1] = 0.25 y[1] (analytic) = 1.1870691343046851019678207459795 y[1] (numeric) = 1.1870691343046851019678207459799 absolute error = 4e-31 relative error = 3.3696436748336173766085784489365e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.404 Order of pole = 10.69 TOP MAIN SOLVE Loop x[1] = 0.251 y[1] (analytic) = 1.1878665344311140241923861264053 y[1] (numeric) = 1.1878665344311140241923861264058 absolute error = 5e-31 relative error = 4.2092270933405580471133396896047e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.404 Order of pole = 10.69 TOP MAIN SOLVE Loop x[1] = 0.252 y[1] (analytic) = 1.1886642655628688688425052908361 y[1] (numeric) = 1.1886642655628688688425052908365 absolute error = 4e-31 relative error = 3.3651217722994959510358427908151e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.403 Order of pole = 10.69 TOP MAIN SOLVE Loop x[1] = 0.253 y[1] (analytic) = 1.1894623268489418518527622855434 y[1] (numeric) = 1.1894623268489418518527622855439 absolute error = 5e-31 relative error = 4.2035799597333400911537725682257e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.403 Order of pole = 10.69 TOP MAIN SOLVE Loop x[1] = 0.254 y[1] (analytic) = 1.1902607174361807086458680506104 y[1] (numeric) = 1.1902607174361807086458680506108 absolute error = 4e-31 relative error = 3.3606082612017913947065466263397e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.403 Order of pole = 10.69 TOP MAIN SOLVE Loop memory used=80.1MB, alloc=4.4MB, time=3.30 x[1] = 0.255 y[1] (analytic) = 1.19105943646928786853054894539 y[1] (numeric) = 1.1910594364692878685305489453904 absolute error = 4e-31 relative error = 3.3583546526085914853603174377313e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.402 Order of pole = 10.69 TOP MAIN SOLVE Loop x[1] = 0.256 y[1] (analytic) = 1.1918584830908196391857174230981 y[1] (numeric) = 1.1918584830908196391857174230985 absolute error = 4e-31 relative error = 3.3561031420667414283675874985346e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.402 Order of pole = 10.69 TOP MAIN SOLVE Loop x[1] = 0.257 y[1] (analytic) = 1.1926578564411854012588543573621 y[1] (numeric) = 1.1926578564411854012588543573625 absolute error = 4e-31 relative error = 3.3538537296318523529088848641590e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.402 Order of pole = 10.69 TOP MAIN SOLVE Loop x[1] = 0.258 y[1] (analytic) = 1.1934575556586468131065124059497 y[1] (numeric) = 1.1934575556586468131065124059501 absolute error = 4e-31 relative error = 3.3516064153554879593005433112792e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.401 Order of pole = 10.68 TOP MAIN SOLVE Loop x[1] = 0.259 y[1] (analytic) = 1.1942575798793170257048293319558 y[1] (numeric) = 1.1942575798793170257048293319562 absolute error = 4e-31 relative error = 3.3493611992851750386366187271657e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.401 Order of pole = 10.68 TOP MAIN SOLVE Loop x[1] = 0.26 y[1] (analytic) = 1.1950579282371599077579193897439 y[1] (numeric) = 1.1950579282371599077579193897443 absolute error = 4e-31 relative error = 3.3471180814644139865871300771181e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.401 Order of pole = 10.68 TOP MAIN SOLVE Loop x[1] = 0.261 y[1] (analytic) = 1.1958585998639892810319897212342 y[1] (numeric) = 1.1958585998639892810319897212346 absolute error = 4e-31 relative error = 3.3448770619326893113057604954803e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.4 Order of pole = 10.68 TOP MAIN SOLVE Loop x[1] = 0.262 y[1] (analytic) = 1.1966595938894681659430071970144 y[1] (numeric) = 1.1966595938894681659430071970148 absolute error = 4e-31 relative error = 3.3426381407254801354003465474267e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.4 Order of pole = 10.68 TOP MAIN SOLVE Loop memory used=83.9MB, alloc=4.4MB, time=3.46 x[1] = 0.263 y[1] (analytic) = 1.1974609094411080374257192755461 y[1] (numeric) = 1.1974609094411080374257192755465 absolute error = 4e-31 relative error = 3.3404013178742706919196760294427e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.4 Order of pole = 10.68 TOP MAIN SOLVE Loop x[1] = 0.264 y[1] (analytic) = 1.1982625456442680911118102417637 y[1] (numeric) = 1.1982625456442680911118102417641 absolute error = 4e-31 relative error = 3.3381665934065608143103068146327e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.399 Order of pole = 10.68 TOP MAIN SOLVE Loop x[1] = 0.265 y[1] (analytic) = 1.1990645016221545198449516229473 y[1] (numeric) = 1.1990645016221545198449516229478 absolute error = 5e-31 relative error = 4.1699174591823455253716390038289e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.399 Order of pole = 10.68 TOP MAIN SOLVE Loop x[1] = 0.266 y[1] (analytic) = 1.1998667764958198005604826642144 y[1] (numeric) = 1.1998667764958198005604826642149 absolute error = 5e-31 relative error = 4.1671292996397249870538025072177e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.399 Order of pole = 10.68 TOP MAIN SOLVE Loop x[1] = 0.267 y[1] (analytic) = 1.2006693693841619915574334776571 y[1] (numeric) = 1.2006693693841619915574334776576 absolute error = 5e-31 relative error = 4.1643437631498512946727602153331e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.398 Order of pole = 10.68 TOP MAIN SOLVE Loop x[1] = 0.268 y[1] (analytic) = 1.2014722794039240401905798573826 y[1] (numeric) = 1.2014722794039240401905798573831 absolute error = 5e-31 relative error = 4.1615608497273082137246739545933e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.398 Order of pole = 10.67 TOP MAIN SOLVE Loop x[1] = 0.269 y[1] (analytic) = 1.2022755056696931010101947768317 y[1] (numeric) = 1.2022755056696931010101947768322 absolute error = 5e-31 relative error = 4.1587805593817644573626355949108e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.397 Order of pole = 10.67 TOP MAIN SOLVE Loop memory used=87.7MB, alloc=4.4MB, time=3.62 x[1] = 0.27 y[1] (analytic) = 1.203079047293899864377137254096 y[1] (numeric) = 1.2030790472938998643771372540965 absolute error = 5e-31 relative error = 4.1560028921179867524162221593098e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.397 Order of pole = 10.67 TOP MAIN SOLVE Loop x[1] = 0.271 y[1] (analytic) = 1.2038829033868178955808945848747 y[1] (numeric) = 1.2038829033868178955808945848751 absolute error = 4e-31 relative error = 3.3225822783486823179802135427799e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.397 Order of pole = 10.67 TOP MAIN SOLVE Loop x[1] = 0.272 y[1] (analytic) = 1.2046870730565629844881689005499 y[1] (numeric) = 1.2046870730565629844881689005503 absolute error = 4e-31 relative error = 3.3203643414642918503855200855945e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.396 Order of pole = 10.67 TOP MAIN SOLVE Loop x[1] = 0.273 y[1] (analytic) = 1.2054915554090925057495736099731 y[1] (numeric) = 1.2054915554090925057495736099735 absolute error = 4e-31 relative error = 3.3181485030333292666201205200339e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.396 Order of pole = 10.67 TOP MAIN SOLVE Loop x[1] = 0.274 y[1] (analytic) = 1.2062963495482047895919795272901 y[1] (numeric) = 1.2062963495482047895919795272905 absolute error = 4e-31 relative error = 3.3159347630440259924261109071465e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.396 Order of pole = 10.67 TOP MAIN SOLVE Loop x[1] = 0.275 y[1] (analytic) = 1.2071014545755385032240243738556 y[1] (numeric) = 1.207101454575538503224024373856 absolute error = 4e-31 relative error = 3.3137231214807440324433000714626e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.395 Order of pole = 10.67 TOP MAIN SOLVE Loop x[1] = 0.276 y[1] (analytic) = 1.2079068695905720428822728693552 y[1] (numeric) = 1.2079068695905720428822728693556 absolute error = 4e-31 relative error = 3.3115135783239863842655388002496e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.395 Order of pole = 10.67 TOP MAIN SOLVE Loop x[1] = 0.277 y[1] (analytic) = 1.2087125936906229365454877950296 y[1] (numeric) = 1.2087125936906229365454877950301 absolute error = 5e-31 relative error = 4.1366326669380093073534142039214e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.395 Order of pole = 10.67 TOP MAIN SOLVE Loop memory used=91.5MB, alloc=4.4MB, time=3.78 x[1] = 0.278 y[1] (analytic) = 1.2095186259708472573444452197523 y[1] (numeric) = 1.2095186259708472573444452197528 absolute error = 5e-31 relative error = 4.1338759839160292705811397014377e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.394 Order of pole = 10.66 TOP MAIN SOLVE Loop x[1] = 0.279 y[1] (analytic) = 1.2103249655242390476946995270178 y[1] (numeric) = 1.2103249655242390476946995270183 absolute error = 5e-31 relative error = 4.1311219238002783630561954128574e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.394 Order of pole = 10.66 TOP MAIN SOLVE Loop x[1] = 0.28 y[1] (analytic) = 1.2111316114416297541796759670303 y[1] (numeric) = 1.2111316114416297541796759670308 absolute error = 5e-31 relative error = 4.1283704865472203060708666676989e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.394 Order of pole = 10.66 TOP MAIN SOLVE Loop x[1] = 0.281 y[1] (analytic) = 1.2119385628116876732114401824179 y[1] (numeric) = 1.2119385628116876732114401824185 absolute error = 6e-31 relative error = 4.9507460065302720298280384722394e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.393 Order of pole = 10.66 TOP MAIN SOLVE Loop x[1] = 0.282 y[1] (analytic) = 1.2127458187209174074964655180211 y[1] (numeric) = 1.2127458187209174074964655180217 absolute error = 6e-31 relative error = 4.9474505765175079388813068438429e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.393 Order of pole = 10.66 TOP MAIN SOLVE Loop x[1] = 0.283 y[1] (analytic) = 1.2135533782536593333336899240991 y[1] (numeric) = 1.2135533782536593333336899240997 absolute error = 6e-31 relative error = 4.9441582937490435656068716690476e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.393 Order of pole = 10.66 TOP MAIN SOLVE Loop x[1] = 0.284 y[1] (analytic) = 1.2143612404920890787721248975575 y[1] (numeric) = 1.214361240492089078772124897558 absolute error = 5e-31 relative error = 4.1173909651249053972004368906761e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.392 Order of pole = 10.66 TOP MAIN SOLVE Loop x[1] = 0.285 y[1] (analytic) = 1.2151694045162170126552491768117 y[1] (numeric) = 1.2151694045162170126552491768122 absolute error = 5e-31 relative error = 4.1146526413661632196262315280767e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.392 Order of pole = 10.66 TOP MAIN SOLVE Loop memory used=95.3MB, alloc=4.4MB, time=3.94 x[1] = 0.286 y[1] (analytic) = 1.2159778694038877445793898120681 y[1] (numeric) = 1.2159778694038877445793898120687 absolute error = 6e-31 relative error = 4.9343003281312980618019018816729e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.392 Order of pole = 10.66 TOP MAIN SOLVE Loop x[1] = 0.287 y[1] (analytic) = 1.2167866342307796357932627735218 y[1] (numeric) = 1.2167866342307796357932627735224 absolute error = 6e-31 relative error = 4.9310206335337020591434507609343e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.391 Order of pole = 10.66 TOP MAIN SOLVE Loop x[1] = 0.288 y[1] (analytic) = 1.2175956980704043210658144346453 y[1] (numeric) = 1.2175956980704043210658144346459 absolute error = 6e-31 relative error = 4.9277440857491149933881838431555e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.391 Order of pole = 10.65 TOP MAIN SOLVE Loop x[1] = 0.289 y[1] (analytic) = 1.2184050599941062415494740757827 y[1] (numeric) = 1.2184050599941062415494740757833 absolute error = 6e-31 relative error = 4.9244706846744576394915556806719e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.391 Order of pole = 10.65 TOP MAIN SOLVE Loop x[1] = 0.29 y[1] (analytic) = 1.2192147190710621886658959940798 y[1] (numeric) = 1.2192147190710621886658959940804 absolute error = 6e-31 relative error = 4.9212004302010798858854346974231e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.39 Order of pole = 10.65 TOP MAIN SOLVE Loop x[1] = 0.291 y[1] (analytic) = 1.2200246743682808590412378787865 y[1] (numeric) = 1.2200246743682808590412378787871 absolute error = 6e-31 relative error = 4.9179333222147761999993889470713e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.39 Order of pole = 10.65 TOP MAIN SOLVE Loop x[1] = 0.292 y[1] (analytic) = 1.2208349249506024205179898155887 y[1] (numeric) = 1.2208349249506024205179898155893 absolute error = 6e-31 relative error = 4.9146693605958010829087570998861e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.39 Order of pole = 10.65 TOP MAIN SOLVE Loop memory used=99.1MB, alloc=4.4MB, time=4.10 x[1] = 0.293 y[1] (analytic) = 1.2216454698806980892703356192769 y[1] (numeric) = 1.2216454698806980892703356192775 absolute error = 6e-31 relative error = 4.9114085452188845130483021110055e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.389 Order of pole = 10.65 TOP MAIN SOLVE Loop x[1] = 0.294 y[1] (analytic) = 1.2224563082190697180499951601701 y[1] (numeric) = 1.2224563082190697180499951601707 absolute error = 6e-31 relative error = 4.9081508759532473789305239744660e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.389 Order of pole = 10.65 TOP MAIN SOLVE Loop x[1] = 0.295 y[1] (analytic) = 1.2232674390240493955894629457185 y[1] (numeric) = 1.223267439024049395589462945719 absolute error = 5e-31 relative error = 4.0874136272188474173399888149441e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.389 Order of pole = 10.65 TOP MAIN SOLVE Loop x[1] = 0.296 y[1] (analytic) = 1.2240788613517990571895244440334 y[1] (numeric) = 1.2240788613517990571895244440339 absolute error = 5e-31 relative error = 4.0847041460043683676827432836912e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.388 Order of pole = 10.65 TOP MAIN SOLVE Loop x[1] = 0.297 y[1] (analytic) = 1.2248905742563101065178974901871 y[1] (numeric) = 1.2248905742563101065178974901876 absolute error = 5e-31 relative error = 4.0819972861949240869655108645950e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.388 Order of pole = 10.65 TOP MAIN SOLVE Loop x[1] = 0.298 y[1] (analytic) = 1.2257025767894030486458115984179 y[1] (numeric) = 1.2257025767894030486458115984184 absolute error = 5e-31 relative error = 4.0792930476632967701741449945109e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.388 Order of pole = 10.65 TOP MAIN SOLVE Loop x[1] = 0.299 y[1] (analytic) = 1.2265148680007271343493031133278 y[1] (numeric) = 1.2265148680007271343493031133283 absolute error = 5e-31 relative error = 4.0765914302777418678164530379613e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.387 Order of pole = 10.64 TOP MAIN SOLVE Loop x[1] = 0.3 y[1] (analytic) = 1.2273274469377600157019688702064 y[1] (numeric) = 1.2273274469377600157019688702069 absolute error = 5e-31 relative error = 4.0738924339020008904909044682397e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.387 Order of pole = 10.64 TOP MAIN SOLVE Loop memory used=103.0MB, alloc=4.4MB, time=4.26 x[1] = 0.301 y[1] (analytic) = 1.2281403126458074129858853982222 y[1] (numeric) = 1.2281403126458074129858853982226 absolute error = 4e-31 relative error = 3.2569568467162513631549216755960e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.387 Order of pole = 10.64 TOP MAIN SOLVE Loop x[1] = 0.302 y[1] (analytic) = 1.2289534641680027929473646898377 y[1] (numeric) = 1.2289534641680027929473646898381 absolute error = 4e-31 relative error = 3.2548018428899470516519567808612e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.387 Order of pole = 10.64 TOP MAIN SOLVE Loop x[1] = 0.303 y[1] (analytic) = 1.2297669005453070584241811749023 y[1] (numeric) = 1.2297669005453070584241811749027 absolute error = 4e-31 relative error = 3.2526489355229089162209996059243e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.386 Order of pole = 10.64 TOP MAIN SOLVE Loop x[1] = 0.304 y[1] (analytic) = 1.2305806208165082493708677779067 y[1] (numeric) = 1.2305806208165082493708677779071 absolute error = 4e-31 relative error = 3.2504981244917878414076773598243e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.386 Order of pole = 10.64 TOP MAIN SOLVE Loop x[1] = 0.305 y[1] (analytic) = 1.2313946240182212553086418013327 y[1] (numeric) = 1.2313946240182212553086418013331 absolute error = 4e-31 relative error = 3.2483494096696746631847671433692e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.386 Order of pole = 10.64 TOP MAIN SOLVE Loop x[1] = 0.306 y[1] (analytic) = 1.2322089091848875392264838663607 y[1] (numeric) = 1.2322089091848875392264838663611 absolute error = 4e-31 relative error = 3.2462027909261103663676946880767e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.385 Order of pole = 10.64 TOP MAIN SOLVE Loop x[1] = 0.307 y[1] (analytic) = 1.2330234753487748729598552538913 y[1] (numeric) = 1.2330234753487748729598552538917 absolute error = 4e-31 relative error = 3.2440582681270962741886191133927e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.385 Order of pole = 10.64 TOP MAIN SOLVE Loop x[1] = 0.308 y[1] (analytic) = 1.2338383215399770840735007233791 y[1] (numeric) = 1.2338383215399770840735007233795 absolute error = 4e-31 relative error = 3.2419158411351042299910670454819e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.385 Order of pole = 10.64 TOP MAIN SOLVE Loop memory used=106.8MB, alloc=4.4MB, time=4.42 x[1] = 0.309 y[1] (analytic) = 1.2346534467864138142747452438454 y[1] (numeric) = 1.2346534467864138142747452438458 absolute error = 4e-31 relative error = 3.2397755098090867710072618613243e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.384 Order of pole = 10.64 TOP MAIN SOLVE Loop x[1] = 0.31 y[1] (analytic) = 1.2354688501138302893836540501325 y[1] (numeric) = 1.2354688501138302893836540501329 absolute error = 4e-31 relative error = 3.2376372740044872941804759957929e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.384 Order of pole = 10.64 TOP MAIN SOLVE Loop x[1] = 0.311 y[1] (analytic) = 1.2362845305457971008863860374717 y[1] (numeric) = 1.2362845305457971008863860374722 absolute error = 5e-31 relative error = 4.0443764169665627674936452195637e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.384 Order of pole = 10.64 TOP MAIN SOLVE Loop x[1] = 0.312 y[1] (analytic) = 1.2371004871037099990980307282639 y[1] (numeric) = 1.2371004871037099990980307282643 absolute error = 4e-31 relative error = 3.2333670883638311122758331217866e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.383 Order of pole = 10.64 TOP MAIN SOLVE Loop x[1] = 0.313 y[1] (analytic) = 1.2379167188067896979611788861157 y[1] (numeric) = 1.2379167188067896979611788861161 absolute error = 4e-31 relative error = 3.2312351382212068799227286883119e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.383 Order of pole = 10.64 TOP MAIN SOLVE Loop x[1] = 0.314 y[1] (analytic) = 1.2387332246720816915064363131479 y[1] (numeric) = 1.2387332246720816915064363131483 absolute error = 4e-31 relative error = 3.2291052829868858505387145832004e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.383 Order of pole = 10.64 TOP MAIN SOLVE Loop x[1] = 0.315 y[1] (analytic) = 1.2395500037144560820010494468979 y[1] (numeric) = 1.2395500037144560820010494468983 absolute error = 4e-31 relative error = 3.2269775224989179259192577387760e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.383 Order of pole = 10.63 TOP MAIN SOLVE Loop x[1] = 0.316 y[1] (analytic) = 1.2403670549466074198117700723025 y[1] (numeric) = 1.2403670549466074198117700723029 absolute error = 4e-31 relative error = 3.2248518565919046933637280703930e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.382 Order of pole = 10.63 memory used=110.6MB, alloc=4.4MB, time=4.58 TOP MAIN SOLVE Loop x[1] = 0.317 y[1] (analytic) = 1.2411843773790545550080447817823 y[1] (numeric) = 1.2411843773790545550080447817827 absolute error = 4e-31 relative error = 3.2227282850970095347733447769368e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.382 Order of pole = 10.63 TOP MAIN SOLVE Loop x[1] = 0.318 y[1] (analytic) = 1.2420019700201405007315727518804 y[1] (numeric) = 1.2420019700201405007315727518808 absolute error = 4e-31 relative error = 3.2206068078419677274992974961599e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.382 Order of pole = 10.63 TOP MAIN SOLVE Loop x[1] = 0.319 y[1] (analytic) = 1.2428198318760323083582329577698 y[1] (numeric) = 1.2428198318760323083582329577701 absolute error = 3e-31 relative error = 2.4138655684883224026787488976550e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.382 Order of pole = 10.63 TOP MAIN SOLVE Loop x[1] = 0.32 y[1] (analytic) = 1.2436379619507209544783391167607 y[1] (numeric) = 1.243637961950720954478339116761 absolute error = 3e-31 relative error = 2.4122776015089789754549515006338e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.381 Order of pole = 10.63 TOP MAIN SOLVE Loop x[1] = 0.321 y[1] (analytic) = 1.2444563592460212397211374382574 y[1] (numeric) = 1.2444563592460212397211374382577 absolute error = 3e-31 relative error = 2.4106912048065791282670788840803e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.381 Order of pole = 10.63 TOP MAIN SOLVE Loop x[1] = 0.322 y[1] (analytic) = 1.2452750227615716994494186599648 y[1] (numeric) = 1.2452750227615716994494186599651 absolute error = 3e-31 relative error = 2.4091063782417156371486447668584e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.381 Order of pole = 10.63 TOP MAIN SOLVE Loop x[1] = 0.323 y[1] (analytic) = 1.2460939514948345263500718680897 y[1] (numeric) = 1.24609395149483452635007186809 absolute error = 3e-31 relative error = 2.4075231216724479841491243687378e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.38 Order of pole = 10.63 TOP MAIN SOLVE Loop memory used=114.4MB, alloc=4.4MB, time=4.74 x[1] = 0.324 y[1] (analytic) = 1.2469131444410955049463632323516 y[1] (numeric) = 1.2469131444410955049463632323518 absolute error = 2e-31 relative error = 1.6039609566362065968552342335594e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.38 Order of pole = 10.63 TOP MAIN SOLVE Loop x[1] = 0.325 y[1] (analytic) = 1.2477326005934639580576780343871 y[1] (numeric) = 1.2477326005934639580576780343873 absolute error = 2e-31 relative error = 1.6029075452935445814027590561908e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.38 Order of pole = 10.63 TOP MAIN SOLVE Loop x[1] = 0.326 y[1] (analytic) = 1.248552318942872705232419230148 y[1] (numeric) = 1.2485523189428727052324192301482 absolute error = 2e-31 relative error = 1.6018551803206491445883526250979e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.38 Order of pole = 10.63 TOP MAIN SOLVE Loop x[1] = 0.327 y[1] (analytic) = 1.249372298478078033179710262721 y[1] (numeric) = 1.2493722984780780331797102627212 absolute error = 2e-31 relative error = 1.6008038616161880342348104000454e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.379 Order of pole = 10.63 TOP MAIN SOLVE Loop x[1] = 0.328 y[1] (analytic) = 1.2501925381856596782255039312135 y[1] (numeric) = 1.2501925381856596782255039312137 absolute error = 2e-31 relative error = 1.5997535890771652193398697640561e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.379 Order of pole = 10.63 TOP MAIN SOLVE Loop x[1] = 0.329 y[1] (analytic) = 1.2510130370500208208186528235183 y[1] (numeric) = 1.2510130370500208208186528235186 absolute error = 3e-31 relative error = 2.3980565438983888409347254731116e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.379 Order of pole = 10.63 TOP MAIN SOLVE Loop x[1] = 0.33 y[1] (analytic) = 1.2518337940533880921124501354736 y[1] (numeric) = 1.2518337940533880921124501354739 absolute error = 3e-31 relative error = 2.3964842731127422151067275078498e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.379 Order of pole = 10.63 TOP MAIN SOLVE Loop x[1] = 0.331 y[1] (analytic) = 1.2526548081758115926471026257534 y[1] (numeric) = 1.2526548081758115926471026257537 absolute error = 3e-31 relative error = 2.3949135710968719091950341223734e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.378 Order of pole = 10.63 TOP MAIN SOLVE Loop memory used=118.2MB, alloc=4.4MB, time=4.90 x[1] = 0.332 y[1] (analytic) = 1.2534760783951649231585499943479 y[1] (numeric) = 1.2534760783951649231585499943482 absolute error = 3e-31 relative error = 2.3933444376863761967938570463705e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.378 Order of pole = 10.63 TOP MAIN SOLVE Loop x[1] = 0.333 y[1] (analytic) = 1.2542976036871452275389971223085 y[1] (numeric) = 1.2542976036871452275389971223089 absolute error = 4e-31 relative error = 3.1890358302858601961054756039377e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.378 Order of pole = 10.63 TOP MAIN SOLVE Loop x[1] = 0.334 y[1] (analytic) = 1.2551193830252732479744773711404 y[1] (numeric) = 1.2551193830252732479744773711408 absolute error = 4e-31 relative error = 3.1869478346821574638150211086505e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.378 Order of pole = 10.63 TOP MAIN SOLVE Loop x[1] = 0.335 y[1] (analytic) = 1.2559414153808933922847165114235 y[1] (numeric) = 1.2559414153808933922847165114239 absolute error = 4e-31 relative error = 3.1848619298750548293460339882373e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.378 Order of pole = 10.63 TOP MAIN SOLVE Loop x[1] = 0.336 y[1] (analytic) = 1.2567636997231738134905178315399 y[1] (numeric) = 1.2567636997231738134905178315403 absolute error = 4e-31 relative error = 3.1827781156322993162965520839124e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.377 Order of pole = 10.63 TOP MAIN SOLVE Loop x[1] = 0.337 y[1] (analytic) = 1.2575862350191065016338395683863 y[1] (numeric) = 1.2575862350191065016338395683867 absolute error = 4e-31 relative error = 3.1806963917184001454937082448323e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.377 Order of pole = 10.63 TOP MAIN SOLVE Loop x[1] = 0.338 y[1] (analytic) = 1.2584090202335073878756860022752 y[1] (numeric) = 1.2584090202335073878756860022755 absolute error = 3e-31 relative error = 2.3839625684209789976351296553533e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.377 Order of pole = 10.63 TOP MAIN SOLVE Loop x[1] = 0.339 y[1] (analytic) = 1.2592320543290164608968833674935 y[1] (numeric) = 1.2592320543290164608968833674938 absolute error = 3e-31 relative error = 2.3824044104393086966734192722568e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.377 Order of pole = 10.63 TOP MAIN SOLVE Loop memory used=122.0MB, alloc=4.4MB, time=5.06 x[1] = 0.34 y[1] (analytic) = 1.2600553362660978956267611478203 y[1] (numeric) = 1.2600553362660978956267611478206 absolute error = 3e-31 relative error = 2.3808478196599307170275971976183e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.376 Order of pole = 10.63 TOP MAIN SOLVE Loop x[1] = 0.341 y[1] (analytic) = 1.2608788650030401943247083523285 y[1] (numeric) = 1.2608788650030401943247083523288 absolute error = 3e-31 relative error = 2.3792927958965879625122400042713e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.376 Order of pole = 10.63 TOP MAIN SOLVE Loop x[1] = 0.342 y[1] (analytic) = 1.2617026394959563400395230006534 y[1] (numeric) = 1.2617026394959563400395230006538 absolute error = 4e-31 relative error = 3.1703191186141761990677636805662e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.376 Order of pole = 10.63 TOP MAIN SOLVE Loop x[1] = 0.343 y[1] (analytic) = 1.262526658698783962471421288232 y[1] (numeric) = 1.2625266586987839624714212882323 absolute error = 3e-31 relative error = 2.3761874486610312184392606005828e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.376 Order of pole = 10.63 TOP MAIN SOLVE Loop x[1] = 0.344 y[1] (analytic) = 1.26335092156328551626152075045 y[1] (numeric) = 1.2633509215632855162615207504503 absolute error = 3e-31 relative error = 2.3746371248043767415124980663812e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.376 Order of pole = 10.63 TOP MAIN SOLVE Loop x[1] = 0.345 y[1] (analytic) = 1.2641754270390484717335591998299 y[1] (numeric) = 1.2641754270390484717335591998303 absolute error = 4e-31 relative error = 3.1641178229265217592540681789406e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.375 Order of pole = 10.63 TOP MAIN SOLVE Loop x[1] = 0.346 y[1] (analytic) = 1.2650001740734855181125582719964 y[1] (numeric) = 1.2650001740734855181125582719967 absolute error = 3e-31 relative error = 2.3715411756344359743805362647224e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.375 Order of pole = 10.63 TOP MAIN SOLVE Loop memory used=125.8MB, alloc=4.4MB, time=5.22 x[1] = 0.347 y[1] (analytic) = 1.265825161611834779245087083834 y[1] (numeric) = 1.2658251616118347792450870838344 absolute error = 4e-31 relative error = 3.1599940665633567129484666842771e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.375 Order of pole = 10.63 TOP MAIN SOLVE Loop x[1] = 0.348 y[1] (analytic) = 1.2666503885971600418457277806669 y[1] (numeric) = 1.2666503885971600418457277806673 absolute error = 4e-31 relative error = 3.1579353198083946841037223041416e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.375 Order of pole = 10.63 TOP MAIN SOLVE Loop x[1] = 0.349 y[1] (analytic) = 1.2674758539703509962942906280989 y[1] (numeric) = 1.2674758539703509962942906280993 absolute error = 4e-31 relative error = 3.1558786603074559699614008505896e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.375 Order of pole = 10.63 TOP MAIN SOLVE Loop x[1] = 0.35 y[1] (analytic) = 1.2683015566701234900082717880485 y[1] (numeric) = 1.2683015566701234900082717880489 absolute error = 4e-31 relative error = 3.1538240877838585537634762437280e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.374 Order of pole = 10.63 TOP MAIN SOLVE Loop x[1] = 0.351 y[1] (analytic) = 1.2691274956330197934149920071517 y[1] (numeric) = 1.2691274956330197934149920071522 absolute error = 5e-31 relative error = 3.9397145024472759843145446423569e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.374 Order of pole = 10.64 TOP MAIN SOLVE Loop x[1] = 0.352 y[1] (analytic) = 1.2699536697934088785477991387888 y[1] (numeric) = 1.2699536697934088785477991387892 absolute error = 4e-31 relative error = 3.1497212025464711917371365039339e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.374 Order of pole = 10.64 TOP MAIN SOLVE Loop x[1] = 0.353 y[1] (analytic) = 1.2707800780834867102906617171929 y[1] (numeric) = 1.2707800780834867102906617171934 absolute error = 5e-31 relative error = 3.9345911115798228084555498377866e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.374 Order of pole = 10.64 TOP MAIN SOLVE Loop x[1] = 0.354 y[1] (analytic) = 1.2716067194332765502954247031239 y[1] (numeric) = 1.2716067194332765502954247031244 absolute error = 5e-31 relative error = 3.9320333272762002166733811467275e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.374 Order of pole = 10.64 TOP MAIN SOLVE Loop memory used=129.7MB, alloc=4.4MB, time=5.38 x[1] = 0.355 y[1] (analytic) = 1.2724335927706292735959420251245 y[1] (numeric) = 1.272433592770629273595942025125 absolute error = 5e-31 relative error = 3.9294781499071183808592434412054e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.374 Order of pole = 10.64 TOP MAIN SOLVE Loop x[1] = 0.356 y[1] (analytic) = 1.2732606970212236979432436481365 y[1] (numeric) = 1.2732606970212236979432436481369 absolute error = 4e-31 relative error = 3.1415404632829288487264171050484e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.373 Order of pole = 10.64 TOP MAIN SOLVE Loop x[1] = 0.357 y[1] (analytic) = 1.274088031108566925885837611936 y[1] (numeric) = 1.2740880311085669258858376119364 absolute error = 4e-31 relative error = 3.1395004915944886408013909073248e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.373 Order of pole = 10.64 TOP MAIN SOLVE Loop x[1] = 0.358 y[1] (analytic) = 1.274915593953994699619189795174 y[1] (numeric) = 1.2749155939539946996191897951744 absolute error = 4e-31 relative error = 3.1374626045591688868747994225784e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.373 Order of pole = 10.64 TOP MAIN SOLVE Loop x[1] = 0.359 y[1] (analytic) = 1.2757433844766717686283660764897 y[1] (numeric) = 1.2757433844766717686283660764901 absolute error = 4e-31 relative error = 3.1354268018727428971299592446894e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.373 Order of pole = 10.64 TOP MAIN SOLVE Loop x[1] = 0.36 y[1] (analytic) = 1.2765714015935922701477630819335 y[1] (numeric) = 1.2765714015935922701477630819339 absolute error = 4e-31 relative error = 3.1333930832279722099629029912008e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.373 Order of pole = 10.64 TOP MAIN SOLVE Loop x[1] = 0.361 y[1] (analytic) = 1.2773996442195801224617948275141 y[1] (numeric) = 1.2773996442195801224617948275145 absolute error = 4e-31 relative error = 3.1313614483146163063334416720437e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.373 Order of pole = 10.64 TOP MAIN SOLVE Loop x[1] = 0.362 y[1] (analytic) = 1.2782281112672894310703432868081 y[1] (numeric) = 1.2782281112672894310703432868085 absolute error = 4e-31 relative error = 3.1293318968194423144468405944003e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.373 Order of pole = 10.64 TOP MAIN SOLVE Loop memory used=133.5MB, alloc=4.4MB, time=5.54 x[1] = 0.363 y[1] (analytic) = 1.2790568016472049077427212359823 y[1] (numeric) = 1.2790568016472049077427212359826 absolute error = 3e-31 relative error = 2.3454783213196760285532826785617e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.372 Order of pole = 10.64 TOP MAIN SOLVE Loop x[1] = 0.364 y[1] (analytic) = 1.2798857142676423024838356520151 y[1] (numeric) = 1.2798857142676423024838356520155 absolute error = 4e-31 relative error = 3.1252790428158049751278808094141e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.372 Order of pole = 10.65 TOP MAIN SOLVE Loop x[1] = 0.365 y[1] (analytic) = 1.2807148480347488484361794641264 y[1] (numeric) = 1.2807148480347488484361794641267 absolute error = 3e-31 relative error = 2.3424418047495009948976471152067e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.372 Order of pole = 10.65 TOP MAIN SOLVE Loop x[1] = 0.366 y[1] (analytic) = 1.2815442018525037197412185831725 y[1] (numeric) = 1.2815442018525037197412185831728 absolute error = 3e-31 relative error = 2.3409258889887887464277470314244e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.372 Order of pole = 10.65 TOP MAIN SOLVE Loop x[1] = 0.367 y[1] (analytic) = 1.2823737746227185023836798588179 y[1] (numeric) = 1.2823737746227185023836798588182 absolute error = 3e-31 relative error = 2.3394115345836799316241666620558e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.372 Order of pole = 10.65 TOP MAIN SOLVE Loop x[1] = 0.368 y[1] (analytic) = 1.283203565245037678042183939397 y[1] (numeric) = 1.2832035652450376780421839393973 absolute error = 3e-31 relative error = 2.3378987412859367491996872266346e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.372 Order of pole = 10.65 TOP MAIN SOLVE Loop x[1] = 0.369 y[1] (analytic) = 1.2840335726169391209696049343227 y[1] (numeric) = 1.284033572616939120969604934323 absolute error = 3e-31 relative error = 2.3363875088451278780495325970827e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.372 Order of pole = 10.65 TOP MAIN SOLVE Loop x[1] = 0.37 y[1] (analytic) = 1.2848637956337346079264763034442 y[1] (numeric) = 1.2848637956337346079264763034444 absolute error = 2e-31 relative error = 1.5565852246724237979933705546516e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.372 Order of pole = 10.65 memory used=137.3MB, alloc=4.4MB, time=5.70 TOP MAIN SOLVE Loop x[1] = 0.371 y[1] (analytic) = 1.2856942331885703411906995216927 y[1] (numeric) = 1.285694233188570341190699521693 absolute error = 3e-31 relative error = 2.3333697255216634970581928564062e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.372 Order of pole = 10.65 TOP MAIN SOLVE Loop x[1] = 0.372 y[1] (analytic) = 1.2865248841724274846667487904672 y[1] (numeric) = 1.2865248841724274846667487904675 absolute error = 3e-31 relative error = 2.3318631741272426863515052669985e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.371 Order of pole = 10.66 TOP MAIN SOLVE Loop x[1] = 0.373 y[1] (analytic) = 1.2873557474741227131175013892908 y[1] (numeric) = 1.2873557474741227131175013892911 absolute error = 3e-31 relative error = 2.3303581825662399873887576399451e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.371 Order of pole = 10.66 TOP MAIN SOLVE Loop x[1] = 0.374 y[1] (analytic) = 1.2881868219803087745417591821206 y[1] (numeric) = 1.2881868219803087745417591821209 absolute error = 3e-31 relative error = 2.3288547505773646269710978866104e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.371 Order of pole = 10.66 TOP MAIN SOLVE Loop x[1] = 0.375 y[1] (analytic) = 1.2890181065754750657204623121059 y[1] (numeric) = 1.2890181065754750657204623121062 absolute error = 3e-31 relative error = 2.3273528778971755185240321361823e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.371 Order of pole = 10.66 TOP MAIN SOLVE Loop x[1] = 0.376 y[1] (analytic) = 1.289849600141948220954531236391 y[1] (numeric) = 1.2898496001419482209545312363913 absolute error = 3e-31 relative error = 2.3258525642600884369005083271050e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.371 Order of pole = 10.66 TOP MAIN SOLVE Loop x[1] = 0.377 y[1] (analytic) = 1.2906813015598927140172079685432 y[1] (numeric) = 1.2906813015598927140172079685435 absolute error = 3e-31 relative error = 2.3243538093983831856255451583030e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.371 Order of pole = 10.66 TOP MAIN SOLVE Loop memory used=141.1MB, alloc=4.4MB, time=5.86 x[1] = 0.378 y[1] (analytic) = 1.2915132097073114733437017101911 y[1] (numeric) = 1.2915132097073114733437017101914 absolute error = 3e-31 relative error = 2.3228566130422107565629652868441e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.371 Order of pole = 10.66 TOP MAIN SOLVE Loop x[1] = 0.379 y[1] (analytic) = 1.2923453234600465104808779652953 y[1] (numeric) = 1.2923453234600465104808779652956 absolute error = 3e-31 relative error = 2.3213609749196004819849136602116e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.371 Order of pole = 10.67 TOP MAIN SOLVE Loop x[1] = 0.38 y[1] (analytic) = 1.2931776416917795618196637399828 y[1] (numeric) = 1.2931776416917795618196637399831 absolute error = 3e-31 relative error = 2.3198668947564671790249636382051e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.371 Order of pole = 10.67 TOP MAIN SOLVE Loop x[1] = 0.381 y[1] (analytic) = 1.2940101632740327436327745378871 y[1] (numeric) = 1.2940101632740327436327745378874 absolute error = 3e-31 relative error = 2.3183743722766182864957350911633e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.371 Order of pole = 10.67 TOP MAIN SOLVE Loop x[1] = 0.382 y[1] (analytic) = 1.294842887076169220440301565296 y[1] (numeric) = 1.2948428870761692204403015652963 absolute error = 3e-31 relative error = 2.3168834072017609940520699571618e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.371 Order of pole = 10.67 TOP MAIN SOLVE Loop x[1] = 0.383 y[1] (analytic) = 1.2956758119653938867256298619621 y[1] (numeric) = 1.2956758119653938867256298619624 absolute error = 3e-31 relative error = 2.3153939992515093636809318005906e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.371 Order of pole = 10.67 TOP MAIN SOLVE Loop x[1] = 0.384 y[1] (analytic) = 1.2965089368067540620240899720305 y[1] (numeric) = 1.2965089368067540620240899720309 absolute error = 4e-31 relative error = 3.0852081975245219246657556500491e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.37 Order of pole = 10.67 TOP MAIN SOLVE Loop x[1] = 0.385 y[1] (analytic) = 1.2973422604631401994066772650461 y[1] (numeric) = 1.2973422604631401994066772650465 absolute error = 4e-31 relative error = 3.0832264714571418317887782389238e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.37 Order of pole = 10.68 TOP MAIN SOLVE Loop memory used=144.9MB, alloc=4.4MB, time=6.02 x[1] = 0.386 y[1] (analytic) = 1.2981757817952866073811041092761 y[1] (numeric) = 1.2981757817952866073811041092765 absolute error = 4e-31 relative error = 3.0812468204177086474903095901061e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.37 Order of pole = 10.68 TOP MAIN SOLVE Loop x[1] = 0.387 y[1] (analytic) = 1.2990094996617721852323807885039 y[1] (numeric) = 1.2990094996617721852323807885042 absolute error = 3e-31 relative error = 2.3094519330159793909242763877179e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.37 Order of pole = 10.68 TOP MAIN SOLVE Loop x[1] = 0.388 y[1] (analytic) = 1.2998434129190211718250513388789 y[1] (numeric) = 1.2998434129190211718250513388792 absolute error = 3e-31 relative error = 2.3079703064102050658894831115239e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.37 Order of pole = 10.68 TOP MAIN SOLVE Loop x[1] = 0.389 y[1] (analytic) = 1.3006775204213039078891403642395 y[1] (numeric) = 1.3006775204213039078891403642398 absolute error = 3e-31 relative error = 2.3064902352031629257348623606464e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.37 Order of pole = 10.68 TOP MAIN SOLVE Loop x[1] = 0.39 y[1] (analytic) = 1.3015118210207376118117963664381 y[1] (numeric) = 1.3015118210207376118117963664384 absolute error = 3e-31 relative error = 2.3050117191000138920349172177436e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.37 Order of pole = 10.68 TOP MAIN SOLVE Loop x[1] = 0.391 y[1] (analytic) = 1.3023463135672871689565462014886 y[1] (numeric) = 1.3023463135672871689565462014889 absolute error = 3e-31 relative error = 2.3035347578038824521572797678251e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.37 Order of pole = 10.69 TOP MAIN SOLVE Loop x[1] = 0.392 y[1] (analytic) = 1.3031809969087659345320039427238 y[1] (numeric) = 1.3031809969087659345320039427241 absolute error = 3e-31 relative error = 2.3020593510158637108654783628029e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.37 Order of pole = 10.69 TOP MAIN SOLVE Loop x[1] = 0.393 y[1] (analytic) = 1.3040158698908365500318056984954 y[1] (numeric) = 1.3040158698908365500318056984956 absolute error = 2e-31 relative error = 1.5337236656233536227111335152241e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.37 Order of pole = 10.69 TOP MAIN SOLVE Loop memory used=148.7MB, alloc=4.4MB, time=6.18 x[1] = 0.394 y[1] (analytic) = 1.3048509313570117732674697941859 y[1] (numeric) = 1.3048509313570117732674697941861 absolute error = 2e-31 relative error = 1.5327421331722933897913547946380e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.37 Order of pole = 10.69 TOP MAIN SOLVE Loop x[1] = 0.395 y[1] (analytic) = 1.3056861801486553220158091863449 y[1] (numeric) = 1.3056861801486553220158091863451 absolute error = 2e-31 relative error = 1.5317616364540945671045195015865e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.37 Order of pole = 10.69 TOP MAIN SOLVE Loop x[1] = 0.396 y[1] (analytic) = 1.3065216151049827313024500305298 y[1] (numeric) = 1.30652161510498273130245003053 absolute error = 2e-31 relative error = 1.5307821752641224433257207642433e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.37 Order of pole = 10.7 TOP MAIN SOLVE Loop x[1] = 0.397 y[1] (analytic) = 1.307357235063062224342936973858 y[1] (numeric) = 1.3073572350630622243429369738582 absolute error = 2e-31 relative error = 1.5298037493964128119541077707360e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.37 Order of pole = 10.7 TOP MAIN SOLVE Loop x[1] = 0.398 y[1] (analytic) = 1.3081930388578155971628319882893 y[1] (numeric) = 1.3081930388578155971628319882895 absolute error = 2e-31 relative error = 1.5288263586436766407877769002319e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.37 Order of pole = 10.7 TOP MAIN SOLVE Loop x[1] = 0.399 y[1] (analytic) = 1.3090290253220191169181394012002 y[1] (numeric) = 1.3090290253220191169181394012004 absolute error = 2e-31 relative error = 1.5278500027973047360931016140063e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.37 Order of pole = 10.7 TOP MAIN SOLVE Loop x[1] = 0.4 y[1] (analytic) = 1.3098651932863044339373152158235 y[1] (numeric) = 1.3098651932863044339373152158236 absolute error = 1e-31 relative error = 7.6343734082368620072864653442897e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.37 Order of pole = 10.71 TOP MAIN SOLVE Loop memory used=152.5MB, alloc=4.4MB, time=6.34 x[1] = 0.401 y[1] (analytic) = 1.3107015415791595075060438455658 y[1] (numeric) = 1.310701541579159507506043845566 absolute error = 2e-31 relative error = 1.5259003949826440913130612323674e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.37 Order of pole = 10.71 TOP MAIN SOLVE Loop x[1] = 0.402 y[1] (analytic) = 1.3115380690269295454158900130364 y[1] (numeric) = 1.3115380690269295454158900130365 absolute error = 1e-31 relative error = 7.6246357129528902956216196663417e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.37 Order of pole = 10.71 TOP MAIN SOLVE Loop x[1] = 0.403 y[1] (analytic) = 1.3123747744538179572978577867784 y[1] (numeric) = 1.3123747744538179572978577867785 absolute error = 1e-31 relative error = 7.6197746212866550011099438517444e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.37 Order of pole = 10.71 TOP MAIN SOLVE Loop x[1] = 0.404 y[1] (analytic) = 1.3132116566818873217618125461758 y[1] (numeric) = 1.3132116566818873217618125461759 absolute error = 1e-31 relative error = 7.6149186988388134463945506476186e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.37 Order of pole = 10.72 TOP MAIN SOLVE Loop x[1] = 0.405 y[1] (analytic) = 1.314048714531060367362645077766 y[1] (numeric) = 1.3140487145310603673626450777662 absolute error = 2e-31 relative error = 1.5220135889054406124132007207806e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.37 Order of pole = 10.72 TOP MAIN SOLVE Loop x[1] = 0.406 y[1] (analytic) = 1.3148859468191209674139800142249 y[1] (numeric) = 1.3148859468191209674139800142251 absolute error = 2e-31 relative error = 1.5210444714526445939091540443015e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.37 Order of pole = 10.72 TOP MAIN SOLVE Loop x[1] = 0.407 y[1] (analytic) = 1.3157233523617151486701534305734 y[1] (numeric) = 1.3157233523617151486701534305736 absolute error = 2e-31 relative error = 1.5200763871903714175451110279591e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.37 Order of pole = 10.72 TOP MAIN SOLVE Loop x[1] = 0.408 y[1] (analytic) = 1.3165609299723521138971066106927 y[1] (numeric) = 1.3165609299723521138971066106929 absolute error = 2e-31 relative error = 1.5191093358983394425176807463024e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.37 Order of pole = 10.72 TOP MAIN SOLVE Loop memory used=156.4MB, alloc=4.4MB, time=6.50 x[1] = 0.409 y[1] (analytic) = 1.3173986784624052783527647910153 y[1] (numeric) = 1.3173986784624052783527647910154 absolute error = 1e-31 relative error = 7.5907165867749660697590081691903e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.37 Order of pole = 10.73 TOP MAIN SOLVE Loop x[1] = 0.41 y[1] (analytic) = 1.3182365966411133201973910772922 y[1] (numeric) = 1.3182365966411133201973910772923 absolute error = 1e-31 relative error = 7.5858916566875403399310297130436e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.37 Order of pole = 10.73 TOP MAIN SOLVE Loop x[1] = 0.411 y[1] (analytic) = 1.3190746833155812448543267146359 y[1] (numeric) = 1.319074683315581244854326714636 absolute error = 1e-31 relative error = 7.5810718881089736571196318276516e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.37 Order of pole = 10.73 TOP MAIN SOLVE Loop x[1] = 0.412 y[1] (analytic) = 1.3199129372907814633414494706108 y[1] (numeric) = 1.3199129372907814633414494706109 absolute error = 1e-31 relative error = 7.5762572799125195796877987621125e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.37 Order of pole = 10.74 TOP MAIN SOLVE Loop x[1] = 0.413 y[1] (analytic) = 1.3207513573695548845936020660274 y[1] (numeric) = 1.3207513573695548845936020660275 absolute error = 1e-31 relative error = 7.5714478309651545340953934244799e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.37 Order of pole = 10.74 TOP MAIN SOLVE Loop x[1] = 0.414 y[1] (analytic) = 1.3215899423526120217961623583059 y[1] (numeric) = 1.321589942352612021796162358306 absolute error = 1e-31 relative error = 7.5666435401276007313202867450999e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.37 Order of pole = 10.74 TOP MAIN SOLVE Loop x[1] = 0.415 y[1] (analytic) = 1.3224286910385341127498463478558 y[1] (numeric) = 1.3224286910385341127498463478559 absolute error = 1e-31 relative error = 7.5618444062543490559012682536462e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.37 Order of pole = 10.74 TOP MAIN SOLVE Loop x[1] = 0.416 y[1] (analytic) = 1.3232676022237742542867540389094 y[1] (numeric) = 1.3232676022237742542867540389095 absolute error = 1e-31 relative error = 7.5570504281936819275528242900502e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.37 Order of pole = 10.75 TOP MAIN SOLVE Loop memory used=160.2MB, alloc=4.4MB, time=6.67 x[1] = 0.417 y[1] (analytic) = 1.3241066747026585507575867426936 y[1] (numeric) = 1.3241066747026585507575867426937 absolute error = 1e-31 relative error = 7.5522616047876961353022461289904e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.371 Order of pole = 10.75 TOP MAIN SOLVE Loop x[1] = 0.418 y[1] (analytic) = 1.3249459072673872766098825627832 y[1] (numeric) = 1.3249459072673872766098825627833 absolute error = 1e-31 relative error = 7.5474779348723256440999053199608e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.371 Order of pole = 10.75 TOP MAIN SOLVE Loop x[1] = 0.419 y[1] (analytic) = 1.3257852987080360530770345500113 y[1] (numeric) = 1.3257852987080360530770345500114 absolute error = 1e-31 relative error = 7.5426994172773643738539077290426e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.371 Order of pole = 10.75 TOP MAIN SOLVE Loop x[1] = 0.42 y[1] (analytic) = 1.3266248478125570389977733574783 y[1] (numeric) = 1.3266248478125570389977733574783 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.371 Order of pole = 10.76 TOP MAIN SOLVE Loop x[1] = 0.421 y[1] (analytic) = 1.3274645533667801357857131650825 y[1] (numeric) = 1.3274645533667801357857131650825 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.371 Order of pole = 10.76 TOP MAIN SOLVE Loop x[1] = 0.422 y[1] (analytic) = 1.3283044141544142065684761776638 y[1] (numeric) = 1.3283044141544142065684761776639 absolute error = 1e-31 relative error = 7.5283947666212519981717918081867e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.371 Order of pole = 10.76 TOP MAIN SOLVE Loop x[1] = 0.423 y[1] (analytic) = 1.3291444289570483095158271313937 y[1] (numeric) = 1.3291444289570483095158271313938 absolute error = 1e-31 relative error = 7.5236368464838616279115392123869e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.371 Order of pole = 10.77 TOP MAIN SOLVE Loop x[1] = 0.424 y[1] (analytic) = 1.3299845965541529453761649695556 y[1] (numeric) = 1.3299845965541529453761649695557 absolute error = 1e-31 relative error = 7.5188840727245447323645232387845e-30 % Correct digits = 31 h = 0.001 memory used=164.0MB, alloc=4.4MB, time=6.83 Complex estimate of poles used for equation 1 Radius of convergence = 4.371 Order of pole = 10.77 TOP MAIN SOLVE Loop x[1] = 0.425 y[1] (analytic) = 1.3308249157230813192406341714338 y[1] (numeric) = 1.3308249157230813192406341714338 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.371 Order of pole = 10.77 TOP MAIN SOLVE Loop x[1] = 0.426 y[1] (analytic) = 1.3316653852390706165540331367664 y[1] (numeric) = 1.3316653852390706165540331367664 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.371 Order of pole = 10.78 TOP MAIN SOLVE Loop x[1] = 0.427 y[1] (analytic) = 1.3325060038752432933916115432418 y[1] (numeric) = 1.3325060038752432933916115432418 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.371 Order of pole = 10.78 TOP MAIN SOLVE Loop x[1] = 0.428 y[1] (analytic) = 1.3333467704026083810207627059277 y[1] (numeric) = 1.3333467704026083810207627059276 absolute error = 1e-31 relative error = 7.4999244172470358724415582340910e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.371 Order of pole = 10.78 TOP MAIN SOLVE Loop x[1] = 0.429 y[1] (analytic) = 1.3341876835900628047665306754551 y[1] (numeric) = 1.3341876835900628047665306754551 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.371 Order of pole = 10.78 TOP MAIN SOLVE Loop x[1] = 0.43 y[1] (analytic) = 1.3350287422043927171997651163606 y[1] (numeric) = 1.3350287422043927171997651163605 absolute error = 1e-31 relative error = 7.4904754361228586736245362969104e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.371 Order of pole = 10.79 TOP MAIN SOLVE Loop x[1] = 0.431 y[1] (analytic) = 1.3358699450102748456666699083466 y[1] (numeric) = 1.3358699450102748456666699083466 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.371 Order of pole = 10.79 TOP MAIN SOLVE Loop memory used=167.8MB, alloc=4.4MB, time=6.98 x[1] = 0.432 y[1] (analytic) = 1.3367112907702778541784039115145 y[1] (numeric) = 1.3367112907702778541784039115144 absolute error = 1e-31 relative error = 7.4810470062219008900864609937197e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.372 Order of pole = 10.79 TOP MAIN SOLVE Loop x[1] = 0.433 y[1] (analytic) = 1.3375527782448637196793044319773 y[1] (numeric) = 1.3375527782448637196793044319772 absolute error = 1e-31 relative error = 7.4763404948565816195706079419301e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.372 Order of pole = 10.8 TOP MAIN SOLVE Loop x[1] = 0.434 y[1] (analytic) = 1.3383944061923891227122156168573 y[1] (numeric) = 1.3383944061923891227122156168572 absolute error = 1e-31 relative error = 7.4716391175371797728170937365078e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.372 Order of pole = 10.8 TOP MAIN SOLVE Loop x[1] = 0.435 y[1] (analytic) = 1.3392361733691068524993152976473 y[1] (numeric) = 1.3392361733691068524993152976472 absolute error = 1e-31 relative error = 7.4669428729983238127151409410635e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.372 Order of pole = 10.8 TOP MAIN SOLVE Loop x[1] = 0.436 y[1] (analytic) = 1.3400780785291672264567446884562 y[1] (numeric) = 1.3400780785291672264567446884562 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.372 Order of pole = 10.81 TOP MAIN SOLVE Loop x[1] = 0.437 y[1] (analytic) = 1.340920120424619524161255830931 y[1] (numeric) = 1.340920120424619524161255830931 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.372 Order of pole = 10.81 TOP MAIN SOLVE Loop x[1] = 0.438 y[1] (analytic) = 1.3417622978054134357870017608287 y[1] (numeric) = 1.3417622978054134357870017608287 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.372 Order of pole = 10.81 TOP MAIN SOLVE Loop x[1] = 0.439 y[1] (analytic) = 1.3426046094194005250305040525019 y[1] (numeric) = 1.3426046094194005250305040525019 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.372 Order of pole = 10.82 TOP MAIN SOLVE Loop memory used=171.6MB, alloc=4.4MB, time=7.15 x[1] = 0.44 y[1] (analytic) = 1.3434470540123357065417416771392 y[1] (numeric) = 1.3434470540123357065417416771391 absolute error = 1e-31 relative error = 7.4435385973224804825328847012477e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.372 Order of pole = 10.82 TOP MAIN SOLVE Loop x[1] = 0.441 y[1] (analytic) = 1.3442896303278787378792139886778 y[1] (numeric) = 1.3442896303278787378792139886777 absolute error = 1e-31 relative error = 7.4388731225732595060835752886127e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.372 Order of pole = 10.82 TOP MAIN SOLVE Loop x[1] = 0.442 y[1] (analytic) = 1.3451323371075957260067391280865 y[1] (numeric) = 1.3451323371075957260067391280864 absolute error = 1e-31 relative error = 7.4342127715870312019363200347722e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.373 Order of pole = 10.83 TOP MAIN SOLVE Loop x[1] = 0.443 y[1] (analytic) = 1.3459751730909606483496572124075 y[1] (numeric) = 1.3459751730909606483496572124074 absolute error = 1e-31 relative error = 7.4295575430529896029016976433174e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.373 Order of pole = 10.83 TOP MAIN SOLVE Loop x[1] = 0.444 y[1] (analytic) = 1.3468181370153568884280153497793 y[1] (numeric) = 1.3468181370153568884280153497792 absolute error = 1e-31 relative error = 7.4249074356547490753922839833500e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.373 Order of pole = 10.83 TOP MAIN SOLVE Loop x[1] = 0.445 y[1] (analytic) = 1.3476612276160787860842187958534 y[1] (numeric) = 1.3476612276160787860842187958534 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.373 Order of pole = 10.84 TOP MAIN SOLVE Loop x[1] = 0.446 y[1] (analytic) = 1.3485044436263332023225394408074 y[1] (numeric) = 1.3485044436263332023225394408073 absolute error = 1e-31 relative error = 7.4156225789723626167518021984628e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.373 Order of pole = 10.84 TOP MAIN SOLVE Loop x[1] = 0.447 y[1] (analytic) = 1.3493477837772410987777792897807 y[1] (numeric) = 1.3493477837772410987777792897806 absolute error = 1e-31 relative error = 7.4109878270277453579898965697656e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.373 Order of pole = 10.84 TOP MAIN SOLVE Loop memory used=175.4MB, alloc=4.4MB, time=7.31 x[1] = 0.448 y[1] (analytic) = 1.3501912467978391318302926732689 y[1] (numeric) = 1.3501912467978391318302926732688 absolute error = 1e-31 relative error = 7.4063581908980304638634417006077e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.373 Order of pole = 10.85 TOP MAIN SOLVE Loop x[1] = 0.449 y[1] (analytic) = 1.351034831415081261384476598051 y[1] (numeric) = 1.3510348314150812613844765980509 absolute error = 1e-31 relative error = 7.4017336692392640853685111038448e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.373 Order of pole = 10.85 TOP MAIN SOLVE Loop x[1] = 0.45 y[1] (analytic) = 1.3518785363538403743277439238671 y[1] (numeric) = 1.351878536353840374327743923867 absolute error = 1e-31 relative error = 7.3971142607020445519138679483335e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.374 Order of pole = 10.85 TOP MAIN SOLVE Loop x[1] = 0.451 y[1] (analytic) = 1.3527223603369099226868989265593 y[1] (numeric) = 1.3527223603369099226868989265592 absolute error = 1e-31 relative error = 7.3924999639315442443702344991735e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.374 Order of pole = 10.86 TOP MAIN SOLVE Loop x[1] = 0.452 y[1] (analytic) = 1.353566302085005576498739285028 y[1] (numeric) = 1.3535663020850055764987392850279 absolute error = 1e-31 relative error = 7.3878907775675314391382896194833e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.374 Order of pole = 10.86 TOP MAIN SOLVE Loop x[1] = 0.453 y[1] (analytic) = 1.3544103603167668914116126074024 y[1] (numeric) = 1.3544103603167668914116126074023 absolute error = 1e-31 relative error = 7.3832867002443921231988221627767e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.374 Order of pole = 10.86 TOP MAIN SOLVE Loop x[1] = 0.454 y[1] (analytic) = 1.3552545337487589910345592915778 y[1] (numeric) = 1.3552545337487589910345592915777 absolute error = 1e-31 relative error = 7.3786877305911517801088123265881e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.374 Order of pole = 10.87 TOP MAIN SOLVE Loop x[1] = 0.455 y[1] (analytic) = 1.3560988210954742640505767970181 y[1] (numeric) = 1.356098821095474264050576797018 absolute error = 1e-31 relative error = 7.3740938672314971469075564099805e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.374 Order of pole = 10.87 memory used=179.2MB, alloc=4.4MB, time=7.47 TOP MAIN SOLVE Loop x[1] = 0.456 y[1] (analytic) = 1.3569432210693340761104432887621 y[1] (numeric) = 1.3569432210693340761104432887621 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.374 Order of pole = 10.87 TOP MAIN SOLVE Loop x[1] = 0.457 y[1] (analytic) = 1.3577877323806904965234411012168 y[1] (numeric) = 1.3577877323806904965234411012168 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.374 Order of pole = 10.88 TOP MAIN SOLVE Loop x[1] = 0.458 y[1] (analytic) = 1.3586323537378280397612225588765 y[1] (numeric) = 1.3586323537378280397612225588765 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.375 Order of pole = 10.88 TOP MAIN SOLVE Loop x[1] = 0.459 y[1] (analytic) = 1.3594770838469654217909623839012 y[1] (numeric) = 1.3594770838469654217909623839012 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.375 Order of pole = 10.89 TOP MAIN SOLVE Loop x[1] = 0.46 y[1] (analytic) = 1.3603219214122573312538422168429 y[1] (numeric) = 1.3603219214122573312538422168428 absolute error = 1e-31 relative error = 7.3512010962950684189783602865193e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.375 Order of pole = 10.89 TOP MAIN SOLVE Loop x[1] = 0.461 y[1] (analytic) = 1.3611668651357962155048136770589 y[1] (numeric) = 1.3611668651357962155048136770588 absolute error = 1e-31 relative error = 7.3466378414981137411393737986173e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.375 Order of pole = 10.89 TOP MAIN SOLVE Loop x[1] = 0.462 y[1] (analytic) = 1.362011913717614081529486893842 y[1] (numeric) = 1.3620119137176140815294868938419 absolute error = 1e-31 relative error = 7.3420796832128884849297767755478e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.375 Order of pole = 10.9 TOP MAIN SOLVE Loop memory used=183.1MB, alloc=4.4MB, time=7.63 x[1] = 0.463 y[1] (analytic) = 1.3628570658556843117538915483668 y[1] (numeric) = 1.3628570658556843117538915483667 absolute error = 1e-31 relative error = 7.3375266200211491615016464470996e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.375 Order of pole = 10.9 TOP MAIN SOLVE Loop x[1] = 0.464 y[1] (analytic) = 1.3637023202459234947627571805673 y[1] (numeric) = 1.3637023202459234947627571805672 absolute error = 1e-31 relative error = 7.3329786504995080328443483315821e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.375 Order of pole = 10.9 TOP MAIN SOLVE Loop x[1] = 0.465 y[1] (analytic) = 1.3645476755821932709418588343674 y[1] (numeric) = 1.3645476755821932709418588343673 absolute error = 1e-31 relative error = 7.3284357732194545758923632607735e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.376 Order of pole = 10.91 TOP MAIN SOLVE Loop x[1] = 0.466 y[1] (analytic) = 1.3653931305563021930598730396682 y[1] (numeric) = 1.3653931305563021930598730396681 absolute error = 1e-31 relative error = 7.3238979867473769171708409352359e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.376 Order of pole = 10.91 TOP MAIN SOLVE Loop x[1] = 0.467 y[1] (analytic) = 1.3662386838580076018050876605155 y[1] (numeric) = 1.3662386838580076018050876605154 absolute error = 1e-31 relative error = 7.3193652896445832379470478774798e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.376 Order of pole = 10.91 TOP MAIN SOLVE Loop x[1] = 0.468 y[1] (analytic) = 1.3670843341750175162922072763174 y[1] (numeric) = 1.3670843341750175162922072763173 absolute error = 1e-31 relative error = 7.3148376804673231498562096666010e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.376 Order of pole = 10.92 TOP MAIN SOLVE Loop x[1] = 0.469 y[1] (analytic) = 1.3679300801929925395543935072397 y[1] (numeric) = 1.3679300801929925395543935072396 absolute error = 1e-31 relative error = 7.3103151577668090409705784771639e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.376 Order of pole = 10.92 TOP MAIN SOLVE Loop x[1] = 0.47 y[1] (analytic) = 1.3687759205955477790355770463737 y[1] (numeric) = 1.3687759205955477790355770463736 absolute error = 1e-31 relative error = 7.3057977200892373922808872068256e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.376 Order of pole = 10.93 TOP MAIN SOLVE Loop memory used=186.9MB, alloc=4.4MB, time=7.79 x[1] = 0.471 y[1] (analytic) = 1.369621854064254782097975120349 y[1] (numeric) = 1.3696218540642547820979751203489 absolute error = 1e-31 relative error = 7.3012853659758100645596808610754e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.376 Order of pole = 10.93 TOP MAIN SOLVE Loop x[1] = 0.472 y[1] (analytic) = 1.3704678792786434865596446671604 y[1] (numeric) = 1.3704678792786434865596446671603 absolute error = 1e-31 relative error = 7.2967780939627555555763443690965e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.377 Order of pole = 10.93 TOP MAIN SOLVE Loop x[1] = 0.473 y[1] (analytic) = 1.3713139949162041862767976955135 y[1] (numeric) = 1.3713139949162041862767976955133 absolute error = 2e-31 relative error = 1.4584551805162700455267947263472e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.377 Order of pole = 10.94 TOP MAIN SOLVE Loop x[1] = 0.474 y[1] (analytic) = 1.3721601996523895117855010743838 y[1] (numeric) = 1.3721601996523895117855010743836 absolute error = 2e-31 relative error = 1.4575557580715879010797126701104e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.377 Order of pole = 10.94 TOP MAIN SOLVE Loop x[1] = 0.475 y[1] (analytic) = 1.3730064921606164260172783951717 y[1] (numeric) = 1.3730064921606164260172783951715 absolute error = 2e-31 relative error = 1.4566573511627918087982622110905e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.377 Order of pole = 10.94 TOP MAIN SOLVE Loop x[1] = 0.476 y[1] (analytic) = 1.3738528711122682351030265522399 y[1] (numeric) = 1.3738528711122682351030265522397 absolute error = 2e-31 relative error = 1.4557599594931911734630323474589e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.377 Order of pole = 10.95 TOP MAIN SOLVE Loop x[1] = 0.477 y[1] (analytic) = 1.3746993351766966142795543012046 y[1] (numeric) = 1.3746993351766966142795543012044 absolute error = 2e-31 relative error = 1.4548635827651218953174083201053e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.377 Order of pole = 10.95 TOP MAIN SOLVE Loop x[1] = 0.478 y[1] (analytic) = 1.3755458830212236489129442785515 y[1] (numeric) = 1.3755458830212236489129442785513 absolute error = 2e-31 relative error = 1.4539682206799505858095105358575e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.377 Order of pole = 10.95 TOP MAIN SOLVE Loop memory used=190.7MB, alloc=4.4MB, time=7.95 x[1] = 0.479 y[1] (analytic) = 1.3763925133111438906528338014305 y[1] (numeric) = 1.3763925133111438906528338014304 absolute error = 1e-31 relative error = 7.2653693646903938868202224079339e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.378 Order of pole = 10.96 TOP MAIN SOLVE Loop x[1] = 0.48 y[1] (analytic) = 1.3772392247097264287316032133103 y[1] (numeric) = 1.3772392247097264287316032133102 absolute error = 1e-31 relative error = 7.2609026961947356358927237035068e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.378 Order of pole = 10.96 TOP MAIN SOLVE Loop x[1] = 0.481 y[1] (analytic) = 1.3780860158782169764223536000163 y[1] (numeric) = 1.3780860158782169764223536000162 absolute error = 1e-31 relative error = 7.2564410964051980751928017028387e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.378 Order of pole = 10.97 TOP MAIN SOLVE Loop x[1] = 0.482 y[1] (analytic) = 1.3789328854758399726694483720178 y[1] (numeric) = 1.3789328854758399726694483720177 absolute error = 1e-31 relative error = 7.2519845638094386757319630005514e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.378 Order of pole = 10.97 TOP MAIN SOLVE Loop x[1] = 0.483 y[1] (analytic) = 1.3797798321598006989052854931506 y[1] (numeric) = 1.3797798321598006989052854931505 absolute error = 1e-31 relative error = 7.2475330968903734097903020558799e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.378 Order of pole = 10.97 TOP MAIN SOLVE Loop x[1] = 0.484 y[1] (analytic) = 1.3806268545852874110668590337583 y[1] (numeric) = 1.3806268545852874110668590337583 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.378 Order of pole = 10.98 TOP MAIN SOLVE Loop x[1] = 0.485 y[1] (analytic) = 1.3814739514054734868255602380112 y[1] (numeric) = 1.3814739514054734868255602380112 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.378 Order of pole = 10.98 TOP MAIN SOLVE Loop x[1] = 0.486 y[1] (analytic) = 1.3823211212715195880435594214129 y[1] (numeric) = 1.382321121271519588043559421413 absolute error = 1e-31 relative error = 7.2342090749518183279991300994134e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.379 Order of pole = 10.98 memory used=194.5MB, alloc=4.4MB, time=8.11 TOP MAIN SOLVE Loop x[1] = 0.487 y[1] (analytic) = 1.3831683628325758384700007557633 y[1] (numeric) = 1.3831683628325758384700007557633 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.379 Order of pole = 10.99 TOP MAIN SOLVE Loop x[1] = 0.488 y[1] (analytic) = 1.3840156747357840166901323556113 y[1] (numeric) = 1.3840156747357840166901323556114 absolute error = 1e-31 relative error = 7.2253516940182439787718793445677e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.379 Order of pole = 10.99 TOP MAIN SOLVE Loop x[1] = 0.489 y[1] (analytic) = 1.3848630556262797643403840530563 y[1] (numeric) = 1.3848630556262797643403840530564 absolute error = 1e-31 relative error = 7.2209305890376845184733506606032e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.379 Order of pole = 10.99 TOP MAIN SOLVE Loop x[1] = 0.49 y[1] (analytic) = 1.3857105041471948096022948371514 y[1] (numeric) = 1.3857105041471948096022948371515 absolute error = 1e-31 relative error = 7.2165145389832207813315185159551e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.379 Order of pole = 11 TOP MAIN SOLVE Loop x[1] = 0.491 y[1] (analytic) = 1.3865580189396592059880811406935 y[1] (numeric) = 1.3865580189396592059880811406936 absolute error = 1e-31 relative error = 7.2121035423005865968300241962995e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.379 Order of pole = 11 TOP MAIN SOLVE Loop x[1] = 0.492 y[1] (analytic) = 1.3874055986428035864305259813834 y[1] (numeric) = 1.3874055986428035864305259813835 absolute error = 1e-31 relative error = 7.2076975974309613059992083176154e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.379 Order of pole = 11 TOP MAIN SOLVE Loop x[1] = 0.493 y[1] (analytic) = 1.3882532418937614326897574067742 y[1] (numeric) = 1.3882532418937614326897574067743 absolute error = 1e-31 relative error = 7.2032967028109903896174253916842e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.38 Order of pole = 11.01 TOP MAIN SOLVE Loop memory used=198.3MB, alloc=4.4MB, time=8.27 x[1] = 0.494 y[1] (analytic) = 1.3891009473276713600893727536564 y[1] (numeric) = 1.3891009473276713600893727536565 absolute error = 1e-31 relative error = 7.1989008568728060661814066824619e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.38 Order of pole = 11.01 TOP MAIN SOLVE Loop x[1] = 0.495 y[1] (analytic) = 1.3899487135776794175942529131239 y[1] (numeric) = 1.3899487135776794175942529131241 absolute error = 2e-31 relative error = 1.4389020116088095719245606023510e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.38 Order of pole = 11.02 TOP MAIN SOLVE Loop x[1] = 0.496 y[1] (analytic) = 1.3907965392749414032422980931113 y[1] (numeric) = 1.3907965392749414032422980931115 absolute error = 2e-31 relative error = 1.4380248609495766273496693021076e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.38 Order of pole = 11.02 TOP MAIN SOLVE Loop x[1] = 0.497 y[1] (analytic) = 1.3916444230486251949422034912628 y[1] (numeric) = 1.391644423048625194942203491263 absolute error = 2e-31 relative error = 1.4371487190806055228762753531554e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.38 Order of pole = 11.02 TOP MAIN SOLVE Loop x[1] = 0.498 y[1] (analytic) = 1.3924923635259130966492798331975 y[1] (numeric) = 1.3924923635259130966492798331977 absolute error = 2e-31 relative error = 1.4362735856847531672365564763126e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.38 Order of pole = 11.03 TOP MAIN SOLVE Loop x[1] = 0.499 y[1] (analytic) = 1.3933403593320041999312098951522 y[1] (numeric) = 1.3933403593320041999312098951524 absolute error = 2e-31 relative error = 1.4353994604439943238259427315534e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.38 Order of pole = 11.03 TOP MAIN SOLVE Loop x[1] = 0.5 y[1] (analytic) = 1.3941884090901167609355179162413 y[1] (numeric) = 1.3941884090901167609355179162415 absolute error = 2e-31 relative error = 1.4345263430394256939261451778209e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.381 Order of pole = 11.03 TOP MAIN SOLVE Loop x[1] = 0.501 y[1] (analytic) = 1.3950365114214905927704142147688 y[1] (numeric) = 1.3950365114214905927704142147691 absolute error = 3e-31 relative error = 2.1504813497269049907768947107399e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.381 Order of pole = 11.04 TOP MAIN SOLVE Loop memory used=202.1MB, alloc=4.4MB, time=8.43 x[1] = 0.502 y[1] (analytic) = 1.3958846649453894733105623557945 y[1] (numeric) = 1.3958846649453894733105623557948 absolute error = 3e-31 relative error = 2.1491746956883200390192344641659e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.381 Order of pole = 11.04 TOP MAIN SOLVE Loop x[1] = 0.503 y[1] (analytic) = 1.3967328682791035684392008741155 y[1] (numeric) = 1.3967328682791035684392008741158 absolute error = 3e-31 relative error = 2.1478695519611141158494921795625e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.381 Order of pole = 11.04 TOP MAIN SOLVE Loop x[1] = 0.504 y[1] (analytic) = 1.3975811200379518707379358386185 y[1] (numeric) = 1.3975811200379518707379358386187 absolute error = 2e-31 relative error = 1.4310439453744833109686269188690e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.381 Order of pole = 11.05 TOP MAIN SOLVE Loop x[1] = 0.505 y[1] (analytic) = 1.3984294188352846536354044512206 y[1] (numeric) = 1.3984294188352846536354044512208 absolute error = 2e-31 relative error = 1.4301758623368691534421313004040e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.381 Order of pole = 11.05 TOP MAIN SOLVE Loop x[1] = 0.506 y[1] (analytic) = 1.3992777632824859410258934070109 y[1] (numeric) = 1.3992777632824859410258934070111 absolute error = 2e-31 relative error = 1.4293087852038140070086456803942e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.381 Order of pole = 11.05 TOP MAIN SOLVE Loop x[1] = 0.507 y[1] (analytic) = 1.4001261519889759923688789023741 y[1] (numeric) = 1.4001261519889759923688789023743 absolute error = 2e-31 relative error = 1.4284427136503819574222917161725e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.381 Order of pole = 11.06 TOP MAIN SOLVE Loop x[1] = 0.508 y[1] (analytic) = 1.4009745835622138032803379654994 y[1] (numeric) = 1.4009745835622138032803379654996 absolute error = 2e-31 relative error = 1.4275776473507914749977405097083e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.382 Order of pole = 11.06 TOP MAIN SOLVE Loop x[1] = 0.509 y[1] (analytic) = 1.4018230566076996216265631994147 y[1] (numeric) = 1.401823056607699621626563199415 absolute error = 3e-31 relative error = 2.1400703789676291644950345586620e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.382 Order of pole = 11.06 TOP MAIN SOLVE Loop memory used=206.0MB, alloc=4.4MB, time=8.59 x[1] = 0.51 y[1] (analytic) = 1.4026715697289774791310950722237 y[1] (numeric) = 1.402671569728977479131095072224 absolute error = 3e-31 relative error = 2.1387757938087077698533728778564e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.382 Order of pole = 11.07 TOP MAIN SOLVE Loop x[1] = 0.511 y[1] (analytic) = 1.4035201215276377385052675632428 y[1] (numeric) = 1.403520121527637738505267563243 absolute error = 2e-31 relative error = 1.4249884767046544555776197338277e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.382 Order of pole = 11.07 TOP MAIN SOLVE Loop x[1] = 0.512 y[1] (analytic) = 1.4043687106033196561127442779363 y[1] (numeric) = 1.4043687106033196561127442779365 absolute error = 2e-31 relative error = 1.4241274281458435013055245031676e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.382 Order of pole = 11.07 TOP MAIN SOLVE Loop x[1] = 0.513 y[1] (analytic) = 1.4052173355537139601783030796271 y[1] (numeric) = 1.4052173355537139601783030796273 absolute error = 2e-31 relative error = 1.4232673831994230137048779403288e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.382 Order of pole = 11.08 TOP MAIN SOLVE Loop x[1] = 0.514 y[1] (analytic) = 1.4060659949745654445510078526244 y[1] (numeric) = 1.4060659949745654445510078526246 absolute error = 2e-31 relative error = 1.4224083415346221525212771447852e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.382 Order of pole = 11.08 TOP MAIN SOLVE Loop x[1] = 0.515 y[1] (analytic) = 1.4069146874596755780317862103852 y[1] (numeric) = 1.4069146874596755780317862103855 absolute error = 3e-31 relative error = 2.1323254542297787984318876760157e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.382 Order of pole = 11.08 TOP MAIN SOLVE Loop x[1] = 0.516 y[1] (analytic) = 1.4077634116009051292753117943195 y[1] (numeric) = 1.4077634116009051292753117943198 absolute error = 3e-31 relative error = 2.1310399000840683117805051417167e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.382 Order of pole = 11.09 TOP MAIN SOLVE Loop memory used=209.8MB, alloc=4.4MB, time=8.75 x[1] = 0.517 y[1] (analytic) = 1.4086121659881768072759692746038 y[1] (numeric) = 1.408612165988176807275969274604 absolute error = 2e-31 relative error = 1.4198372329099896537748981134974e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.383 Order of pole = 11.09 TOP MAIN SOLVE Loop x[1] = 0.518 y[1] (analytic) = 1.4094609492094779174475592646167 y[1] (numeric) = 1.4094609492094779174475592646169 absolute error = 2e-31 relative error = 1.4189822010476677375680741291833e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.383 Order of pole = 11.09 TOP MAIN SOLVE Loop x[1] = 0.519 y[1] (analytic) = 1.4103097598508630333062790960966 y[1] (numeric) = 1.4103097598508630333062790960968 absolute error = 2e-31 relative error = 1.4181281708009276868197844009082e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.383 Order of pole = 11.1 TOP MAIN SOLVE Loop x[1] = 0.52 y[1] (analytic) = 1.411158596496456683766393773598 y[1] (numeric) = 1.4111585964964566837663937735983 absolute error = 3e-31 relative error = 2.1259127127512295752267851363788e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.383 Order of pole = 11.1 TOP MAIN SOLVE Loop x[1] = 0.521 y[1] (analytic) = 1.4120074577284560560578894350553 y[1] (numeric) = 1.4120074577284560560578894350555 absolute error = 2e-31 relative error = 1.4164231138109336520338590593604e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.383 Order of pole = 11.1 TOP MAIN SOLVE Loop x[1] = 0.522 y[1] (analytic) = 1.4128563421271337142752792910049 y[1] (numeric) = 1.4128563421271337142752792910051 absolute error = 2e-31 relative error = 1.4155720863940695414539997098387e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.383 Order of pole = 11.1 TOP MAIN SOLVE Loop x[1] = 0.523 y[1] (analytic) = 1.4137052482708403335666092990593 y[1] (numeric) = 1.4137052482708403335666092990595 absolute error = 2e-31 relative error = 1.4147220592455749344221774308868e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.383 Order of pole = 11.11 TOP MAIN SOLVE Loop x[1] = 0.524 y[1] (analytic) = 1.4145541747360074499715877533328 y[1] (numeric) = 1.414554174736007449971587753333 absolute error = 2e-31 relative error = 1.4138730320266821503256506936159e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.383 Order of pole = 11.11 TOP MAIN SOLVE Loop memory used=213.6MB, alloc=4.4MB, time=8.91 x[1] = 0.525 y[1] (analytic) = 1.4154031200971502259176395314939 y[1] (numeric) = 1.4154031200971502259176395314941 absolute error = 2e-31 relative error = 1.4130250043978455421205202041966e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.383 Order of pole = 11.11 TOP MAIN SOLVE Loop x[1] = 0.526 y[1] (analytic) = 1.41625208292687023138256194575 y[1] (numeric) = 1.4162520829268702313825619457502 absolute error = 2e-31 relative error = 1.4121779760187454203609406716119e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.383 Order of pole = 11.12 TOP MAIN SOLVE Loop x[1] = 0.527 y[1] (analytic) = 1.4171010617958582407323349891609 y[1] (numeric) = 1.4171010617958582407323349891611 absolute error = 2e-31 relative error = 1.4113319465482919710627007364340e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.383 Order of pole = 11.12 TOP MAIN SOLVE Loop x[1] = 0.528 y[1] (analytic) = 1.4179500552728970452425142560419 y[1] (numeric) = 1.417950055272897045242514256042 absolute error = 1e-31 relative error = 7.0524345782231458369926620761397e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.384 Order of pole = 11.12 TOP MAIN SOLVE Loop x[1] = 0.529 y[1] (analytic) = 1.4187990619248642813115099456727 y[1] (numeric) = 1.4187990619248642813115099456729 absolute error = 2e-31 relative error = 1.4096428829651386752225670476283e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.384 Order of pole = 11.13 TOP MAIN SOLVE Loop x[1] = 0.53 y[1] (analytic) = 1.4196480803167352743739301328987 y[1] (numeric) = 1.4196480803167352743739301328988 absolute error = 1e-31 relative error = 7.0439992408322187621070509461002e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.384 Order of pole = 11.13 TOP MAIN SOLVE Loop x[1] = 0.531 y[1] (analytic) = 1.4204971090115858985220409083281 y[1] (numeric) = 1.4204971090115858985220409083282 absolute error = 1e-31 relative error = 7.0397890545220657104468158656904e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.384 Order of pole = 11.13 TOP MAIN SOLVE Loop x[1] = 0.532 y[1] (analytic) = 1.4213461465705954518432700555416 y[1] (numeric) = 1.4213461465705954518432700555417 absolute error = 1e-31 relative error = 7.0355838541708247976268708340958e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.384 Order of pole = 11.13 TOP MAIN SOLVE Loop memory used=217.4MB, alloc=4.4MB, time=9.08 x[1] = 0.533 y[1] (analytic) = 1.4221951915530495474815546438707 y[1] (numeric) = 1.4221951915530495474815546438708 absolute error = 1e-31 relative error = 7.0313836380503528652467823883575e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.384 Order of pole = 11.14 TOP MAIN SOLVE Loop x[1] = 0.534 y[1] (analytic) = 1.4230442425163430204302062737425 y[1] (numeric) = 1.4230442425163430204302062737426 absolute error = 1e-31 relative error = 7.0271884044287923931778330630410e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.384 Order of pole = 11.14 TOP MAIN SOLVE Loop x[1] = 0.535 y[1] (analytic) = 1.4238932980159828500638407181764 y[1] (numeric) = 1.4238932980159828500638407181764 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.384 Order of pole = 11.14 TOP MAIN SOLVE Loop x[1] = 0.536 y[1] (analytic) = 1.4247423566055910984167913596341 y[1] (numeric) = 1.4247423566055910984167913596342 absolute error = 1e-31 relative error = 7.0188128777365199633256502682240e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.384 Order of pole = 11.14 TOP MAIN SOLVE Loop x[1] = 0.537 y[1] (analytic) = 1.4255914168369078642152981269416 y[1] (numeric) = 1.4255914168369078642152981269417 absolute error = 1e-31 relative error = 7.0146325811836950821163683980027e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.384 Order of pole = 11.15 TOP MAIN SOLVE Loop x[1] = 0.538 y[1] (analytic) = 1.4264404772597942526706355932996 y[1] (numeric) = 1.4264404772597942526706355932996 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.384 Order of pole = 11.15 TOP MAIN SOLVE Loop x[1] = 0.539 y[1] (analytic) = 1.4272895364222353610402155043811 y[1] (numeric) = 1.4272895364222353610402155043812 absolute error = 1e-31 relative error = 7.0062869129320779352836137814109e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.384 Order of pole = 11.15 TOP MAIN SOLVE Loop x[1] = 0.54 y[1] (analytic) = 1.42813859287034327996357026607 y[1] (numeric) = 1.4281385928703432799635702660701 absolute error = 1e-31 relative error = 7.0021215377294072690033638903337e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.384 Order of pole = 11.15 memory used=221.2MB, alloc=4.4MB, time=9.24 TOP MAIN SOLVE Loop x[1] = 0.541 y[1] (analytic) = 1.4289876451483601105799948354299 y[1] (numeric) = 1.42898764514836011057999483543 absolute error = 1e-31 relative error = 6.9979611328002641425939318658087e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.384 Order of pole = 11.16 TOP MAIN SOLVE Loop x[1] = 0.542 y[1] (analytic) = 1.4298366917986609974344950269352 y[1] (numeric) = 1.4298366917986609974344950269353 absolute error = 1e-31 relative error = 6.9938056963837698627521688575594e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.384 Order of pole = 11.16 TOP MAIN SOLVE Loop x[1] = 0.543 y[1] (analytic) = 1.4306857313617571771785604697468 y[1] (numeric) = 1.4306857313617571771785604697469 absolute error = 1e-31 relative error = 6.9896552267155043400177925218808e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.384 Order of pole = 11.16 TOP MAIN SOLVE Loop x[1] = 0.544 y[1] (analytic) = 1.431534762376299043072150331821 y[1] (numeric) = 1.4315347623762990430721503318211 absolute error = 1e-31 relative error = 6.9855097220275251522183010887854e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.384 Order of pole = 11.16 TOP MAIN SOLVE Loop x[1] = 0.545 y[1] (analytic) = 1.4323837833790792252931494638285 y[1] (numeric) = 1.4323837833790792252931494638286 absolute error = 1e-31 relative error = 6.9813691805483865768900902931861e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.385 Order of pole = 11.17 TOP MAIN SOLVE Loop x[1] = 0.546 y[1] (analytic) = 1.4332327929050356870604218111745 y[1] (numeric) = 1.4332327929050356870604218111745 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.385 Order of pole = 11.17 TOP MAIN SOLVE Loop x[1] = 0.547 y[1] (analytic) = 1.4340817894872548365764567968072 y[1] (numeric) = 1.4340817894872548365764567968072 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.385 Order of pole = 11.17 TOP MAIN SOLVE Loop memory used=225.0MB, alloc=4.5MB, time=9.40 x[1] = 0.548 y[1] (analytic) = 1.4349307716569746547954728919354 y[1] (numeric) = 1.4349307716569746547954728919354 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.385 Order of pole = 11.17 TOP MAIN SOLVE Loop x[1] = 0.549 y[1] (analytic) = 1.4357797379435878390227107672099 y[1] (numeric) = 1.4357797379435878390227107672098 absolute error = 1e-31 relative error = 6.9648566111697716494262480805911e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.385 Order of pole = 11.18 TOP MAIN SOLVE Loop x[1] = 0.55 y[1] (analytic) = 1.4366286868746449623505162543373 y[1] (numeric) = 1.4366286868746449623505162543372 absolute error = 1e-31 relative error = 6.9607408590418631480755699159959e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.385 Order of pole = 11.18 TOP MAIN SOLVE Loop x[1] = 0.551 y[1] (analytic) = 1.4374776169758576489366808484674 y[1] (numeric) = 1.4374776169758576489366808484673 absolute error = 1e-31 relative error = 6.9566300594216135228436015108704e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.385 Order of pole = 11.18 TOP MAIN SOLVE Loop x[1] = 0.552 y[1] (analytic) = 1.4383265267711017651303746460074 y[1] (numeric) = 1.4383265267711017651303746460073 absolute error = 1e-31 relative error = 6.9525242105135842493398545206655e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.385 Order of pole = 11.18 TOP MAIN SOLVE Loop x[1] = 0.553 y[1] (analytic) = 1.4391754147824206264508734417784 y[1] (numeric) = 1.4391754147824206264508734417783 absolute error = 1e-31 relative error = 6.9484233105189846444513289306769e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.385 Order of pole = 11.18 TOP MAIN SOLVE Loop x[1] = 0.554 y[1] (analytic) = 1.4400242795300282204241482046282 y[1] (numeric) = 1.4400242795300282204241482046281 absolute error = 1e-31 relative error = 6.9443273576356906192063081955438e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.385 Order of pole = 11.19 TOP MAIN SOLVE Loop x[1] = 0.555 y[1] (analytic) = 1.4408731195323124452822513127727 y[1] (numeric) = 1.4408731195323124452822513127725 absolute error = 2e-31 relative error = 1.3880472700116526801085695174311e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.385 Order of pole = 11.19 TOP MAIN SOLVE Loop memory used=228.8MB, alloc=4.5MB, time=9.55 x[1] = 0.556 y[1] (analytic) = 1.4417219333058383645302997602665 y[1] (numeric) = 1.4417219333058383645302997602663 absolute error = 2e-31 relative error = 1.3872300571955936443952437567752e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.385 Order of pole = 11.19 TOP MAIN SOLVE Loop x[1] = 0.557 y[1] (analytic) = 1.4425707193653514773857210451315 y[1] (numeric) = 1.4425707193653514773857210451313 absolute error = 2e-31 relative error = 1.3864138327165585966319654667989e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.385 Order of pole = 11.19 TOP MAIN SOLVE Loop x[1] = 0.558 y[1] (analytic) = 1.4434194762237810050942926188266 y[1] (numeric) = 1.4434194762237810050942926188264 absolute error = 2e-31 relative error = 1.3855985962114933756668744710517e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.385 Order of pole = 11.19 TOP MAIN SOLVE Loop x[1] = 0.559 y[1] (analytic) = 1.4442682023922431931273706169724 y[1] (numeric) = 1.4442682023922431931273706169721 absolute error = 3e-31 relative error = 2.0771765209750436980980809072097e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.385 Order of pole = 11.2 TOP MAIN SOLVE Loop x[1] = 0.56 y[1] (analytic) = 1.4451168963800446292645681035877 y[1] (numeric) = 1.4451168963800446292645681035874 absolute error = 3e-31 relative error = 2.0759566285017290620285832187999e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.385 Order of pole = 11.2 TOP MAIN SOLVE Loop x[1] = 0.561 y[1] (analytic) = 1.4459655566946855775660072466144 y[1] (numeric) = 1.4459655566946855775660072466141 absolute error = 3e-31 relative error = 2.0747382163498155165438537657424e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.385 Order of pole = 11.2 TOP MAIN SOLVE Loop x[1] = 0.562 y[1] (analytic) = 1.4468141818418633282381337022584 y[1] (numeric) = 1.4468141818418633282381337022581 absolute error = 3e-31 relative error = 2.0735212839708670720470892948880e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.385 Order of pole = 11.2 TOP MAIN SOLVE Loop x[1] = 0.563 y[1] (analytic) = 1.447662770325475563396945020734 y[1] (numeric) = 1.4476627703254755633969450207337 absolute error = 3e-31 relative error = 2.0723058308154979299388569488097e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.385 Order of pole = 11.2 TOP MAIN SOLVE Loop memory used=232.7MB, alloc=4.5MB, time=9.71 x[1] = 0.564 y[1] (analytic) = 1.4485113206476237387323480974376 y[1] (numeric) = 1.4485113206476237387323480974372 absolute error = 4e-31 relative error = 2.7614558084445040201625841856962e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.385 Order of pole = 11.21 TOP MAIN SOLVE Loop x[1] = 0.565 y[1] (analytic) = 1.4493598313086164810772235824821 y[1] (numeric) = 1.4493598313086164810772235824817 absolute error = 4e-31 relative error = 2.7598391466309846655516823420059e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.385 Order of pole = 11.21 TOP MAIN SOLVE Loop x[1] = 0.566 y[1] (analytic) = 1.4502083008069730018846377289891 y[1] (numeric) = 1.4502083008069730018846377289887 absolute error = 4e-31 relative error = 2.7582244549105030854872729116571e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.385 Order of pole = 11.21 TOP MAIN SOLVE Loop x[1] = 0.567 y[1] (analytic) = 1.4510567276394265266165044076549 y[1] (numeric) = 1.4510567276394265266165044076545 absolute error = 4e-31 relative error = 2.7566117325455528759821480807303e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.384 Order of pole = 11.21 TOP MAIN SOLVE Loop x[1] = 0.568 y[1] (analytic) = 1.4519051103009277400468619429948 y[1] (numeric) = 1.4519051103009277400468619429945 absolute error = 3e-31 relative error = 2.0662507340980484848749549527530e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.384 Order of pole = 11.21 TOP MAIN SOLVE Loop x[1] = 0.569 y[1] (analytic) = 1.4527534472846482474827910364341 y[1] (numeric) = 1.4527534472846482474827910364338 absolute error = 3e-31 relative error = 2.0650441446945600007501440417858e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.384 Order of pole = 11.21 TOP MAIN SOLVE Loop x[1] = 0.57 y[1] (analytic) = 1.4536017370819840519058613341761 y[1] (numeric) = 1.4536017370819840519058613341758 absolute error = 3e-31 relative error = 2.0638390306428191298910346416629e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.384 Order of pole = 11.22 TOP MAIN SOLVE Loop memory used=236.5MB, alloc=4.5MB, time=9.87 x[1] = 0.571 y[1] (analytic) = 1.4544499781825590470368551746746 y[1] (numeric) = 1.4544499781825590470368551746742 absolute error = 4e-31 relative error = 2.7501805218480533159677343845457e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.384 Order of pole = 11.22 TOP MAIN SOLVE Loop x[1] = 0.572 y[1] (analytic) = 1.4552981690742285263263777126937 y[1] (numeric) = 1.4552981690742285263263777126933 absolute error = 4e-31 relative error = 2.7485776351553817784324964322116e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.384 Order of pole = 11.22 TOP MAIN SOLVE Loop x[1] = 0.573 y[1] (analytic) = 1.4561463082430827078738229655072 y[1] (numeric) = 1.4561463082430827078738229655068 absolute error = 4e-31 relative error = 2.7469767133676360370569717559366e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.384 Order of pole = 11.22 TOP MAIN SOLVE Loop x[1] = 0.574 y[1] (analytic) = 1.456994394173450275277025362916 y[1] (numeric) = 1.4569943941734502752770253629157 absolute error = 3e-31 relative error = 2.0590333168041414608186578174564e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.384 Order of pole = 11.22 TOP MAIN SOLVE Loop x[1] = 0.575 y[1] (analytic) = 1.4578424253479019344147861076104 y[1] (numeric) = 1.45784242534790193441478610761 absolute error = 4e-31 relative error = 2.7437807615218999854915431408747e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.384 Order of pole = 11.22 TOP MAIN SOLVE Loop x[1] = 0.576 y[1] (analytic) = 1.4586904002472539861643230671315 y[1] (numeric) = 1.4586904002472539861643230671312 absolute error = 3e-31 relative error = 2.0566392974763443535357337242606e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.384 Order of pole = 11.22 TOP MAIN SOLVE Loop x[1] = 0.577 y[1] (analytic) = 1.4595383173505719150555520244806 y[1] (numeric) = 1.4595383173505719150555520244802 absolute error = 4e-31 relative error = 2.7405926603290574540505553083267e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.384 Order of pole = 11.22 TOP MAIN SOLVE Loop x[1] = 0.578 y[1] (analytic) = 1.4603861751351739938639659124448 y[1] (numeric) = 1.4603861751351739938639659124444 absolute error = 4e-31 relative error = 2.7390015518530625784898443091960e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.384 Order of pole = 11.23 TOP MAIN SOLVE Loop memory used=240.3MB, alloc=4.5MB, time=10.03 x[1] = 0.579 y[1] (analytic) = 1.4612339720766349041437371481693 y[1] (numeric) = 1.4612339720766349041437371481689 absolute error = 4e-31 relative error = 2.7374124037886922757868761614555e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.384 Order of pole = 11.23 TOP MAIN SOLVE Loop x[1] = 0.58 y[1] (analytic) = 1.4620817066487893727025263705761 y[1] (numeric) = 1.4620817066487893727025263705757 absolute error = 4e-31 relative error = 2.7358252153830216070618801060344e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.384 Order of pole = 11.23 TOP MAIN SOLVE Loop x[1] = 0.581 y[1] (analytic) = 1.4629293773237358240193387651337 y[1] (numeric) = 1.4629293773237358240193387651333 absolute error = 4e-31 relative error = 2.7342399858819900949352996313165e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.384 Order of pole = 11.23 TOP MAIN SOLVE Loop x[1] = 0.582 y[1] (analytic) = 1.4637769825718400486066267394164 y[1] (numeric) = 1.463776982571840048606626739416 absolute error = 4e-31 relative error = 2.7326567145304088758636498755154e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.384 Order of pole = 11.23 TOP MAIN SOLVE Loop x[1] = 0.583 y[1] (analytic) = 1.4646245208617388873176949900809 y[1] (numeric) = 1.4646245208617388873176949900805 absolute error = 4e-31 relative error = 2.7310754005719678400102056859289e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.383 Order of pole = 11.23 TOP MAIN SOLVE Loop x[1] = 0.584 y[1] (analytic) = 1.4654719906603439316003209785533 y[1] (numeric) = 1.4654719906603439316003209785529 absolute error = 4e-31 relative error = 2.7294960432492427586509349034630e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.383 Order of pole = 11.23 TOP MAIN SOLVE Loop x[1] = 0.585 y[1] (analytic) = 1.4663193904328452396973605100952 y[1] (numeric) = 1.4663193904328452396973605100948 absolute error = 4e-31 relative error = 2.7279186418037023991161832132788e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.383 Order of pole = 11.23 TOP MAIN SOLVE Loop x[1] = 0.586 y[1] (analytic) = 1.4671667186427150687949644902433 y[1] (numeric) = 1.4671667186427150687949644902429 absolute error = 4e-31 relative error = 2.7263431954757156272687083334259e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.383 Order of pole = 11.23 TOP MAIN SOLVE Loop memory used=244.1MB, alloc=4.5MB, time=10.19 x[1] = 0.587 y[1] (analytic) = 1.4680139737517116231188890151369 y[1] (numeric) = 1.4680139737517116231188890151365 absolute error = 4e-31 relative error = 2.7247697035045584975187524031879e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.383 Order of pole = 11.23 TOP MAIN SOLVE Loop x[1] = 0.588 y[1] (analytic) = 1.4688611542198828179792367392199 y[1] (numeric) = 1.4688611542198828179792367392194 absolute error = 5e-31 relative error = 3.4039977064105266629711652273397e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.383 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.589 y[1] (analytic) = 1.4697082585055700597638229564887 y[1] (numeric) = 1.4697082585055700597638229564883 absolute error = 4e-31 relative error = 2.7216285795844157775458170772170e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.383 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.59 y[1] (analytic) = 1.4705552850654120418802150311225 y[1] (numeric) = 1.4705552850654120418802150311221 absolute error = 4e-31 relative error = 2.7200609461085818745511550908036e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.383 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.591 y[1] (analytic) = 1.471402232354348556646348721253 y[1] (numeric) = 1.4714022323543485566463487212526 absolute error = 4e-31 relative error = 2.7184952639358950809137964960851e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.383 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.592 y[1] (analytic) = 1.472249098825624323129479557099 y[1] (numeric) = 1.4722490988256243231294795570986 absolute error = 4e-31 relative error = 2.7169315323002733078634544532828e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.382 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.593 y[1] (analytic) = 1.4730958829307928309330817629834 y[1] (numeric) = 1.473095882930792830933081762983 absolute error = 4e-31 relative error = 2.7153697504345839335955308146661e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.382 Order of pole = 11.24 TOP MAIN SOLVE Loop memory used=247.9MB, alloc=4.5MB, time=10.35 x[1] = 0.594 y[1] (analytic) = 1.4739425831197201999311612531783 y[1] (numeric) = 1.4739425831197201999311612531779 absolute error = 4e-31 relative error = 2.7138099175706508060723240840140e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.382 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.595 y[1] (analytic) = 1.4747891978405890559493029853866 y[1] (numeric) = 1.4747891978405890559493029853862 absolute error = 4e-31 relative error = 2.7122520329392612333700248656305e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.382 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.596 y[1] (analytic) = 1.47563572553990242239162642428 y[1] (numeric) = 1.4756357255399024223916264242796 absolute error = 4e-31 relative error = 2.7106960957701729615729921714870e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.382 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.597 y[1] (analytic) = 1.4764821646624876278126760521915 y[1] (numeric) = 1.4764821646624876278126760521911 absolute error = 4e-31 relative error = 2.7091421052921211402168916502175e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.382 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.598 y[1] (analytic) = 1.4773285136515002294331267661404 y[1] (numeric) = 1.4773285136515002294331267661401 absolute error = 3e-31 relative error = 2.0306925455496189564617731193300e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.382 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.599 y[1] (analytic) = 1.4781747709484279525980366211741 y[1] (numeric) = 1.4781747709484279525980366211738 absolute error = 3e-31 relative error = 2.0295299709892471273057350901785e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.382 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.6 y[1] (analytic) = 1.4790209349930946461762317208909 y[1] (numeric) = 1.4790209349930946461762317208906 absolute error = 3e-31 relative error = 2.0283688547072571387414913386912e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.381 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.601 y[1] (analytic) = 1.4798670042236642538992601183158 y[1] (numeric) = 1.4798670042236642538992601183155 absolute error = 3e-31 relative error = 2.0272091961221846173763414075490e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.381 Order of pole = 11.24 TOP MAIN SOLVE Loop memory used=251.7MB, alloc=4.5MB, time=10.51 x[1] = 0.602 y[1] (analytic) = 1.4807129770766448016382033753788 y[1] (numeric) = 1.4807129770766448016382033753785 absolute error = 3e-31 relative error = 2.0260509946518242227886048199880e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.381 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.603 y[1] (analytic) = 1.4815588519868924006164859384762 y[1] (numeric) = 1.4815588519868924006164859384759 absolute error = 3e-31 relative error = 2.0248942497132348156084064656647e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.381 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.604 y[1] (analytic) = 1.4824046273876152665566737223308 y[1] (numeric) = 1.4824046273876152665566737223305 absolute error = 3e-31 relative error = 2.0237389607227446162702293649971e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.381 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.605 y[1] (analytic) = 1.4832503017103777547591042560013 y[1] (numeric) = 1.483250301710377754759104256001 absolute error = 3e-31 relative error = 2.0225851270959563544389376829448e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.381 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.606 y[1] (analytic) = 1.4840958733851044111100414348005 y[1] (numeric) = 1.4840958733851044111100414348002 absolute error = 3e-31 relative error = 2.0214327482477524091110363639193e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.38 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.607 y[1] (analytic) = 1.4849413408400840390168983414611 y[1] (numeric) = 1.4849413408400840390168983414608 absolute error = 3e-31 relative error = 2.0202818235922999393929970092371e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.38 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.608 y[1] (analytic) = 1.48578670250197378226792175054 y[1] (numeric) = 1.4857867025019737822679217505396 absolute error = 4e-31 relative error = 2.6921764700574080079447234900037e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.38 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.609 y[1] (analytic) = 1.4866319567958032238135818131794 y[1] (numeric) = 1.4866319567958032238135818131791 absolute error = 3e-31 relative error = 2.0179843345127726831868465568037e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.38 Order of pole = 11.24 TOP MAIN SOLVE Loop memory used=255.5MB, alloc=4.5MB, time=10.67 x[1] = 0.61 y[1] (analytic) = 1.4874771021449785004667600363657 y[1] (numeric) = 1.4874771021449785004667600363654 absolute error = 3e-31 relative error = 2.0168377689135021619836636358837e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.38 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.611 y[1] (analytic) = 1.4883221369712864335186780231573 y[1] (numeric) = 1.488322136971286433518678023157 absolute error = 3e-31 relative error = 2.0156926551566018432874733898084e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.38 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.612 y[1] (analytic) = 1.489167059694898675267358529435 y[1] (numeric) = 1.4891670596948986752673585294347 absolute error = 3e-31 relative error = 2.0145489926527394222627776943050e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.379 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.613 y[1] (analytic) = 1.4900118687343758714552592199789 y[1] (numeric) = 1.4900118687343758714552592199787 absolute error = 2e-31 relative error = 1.3422711872079319754551710481597e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.379 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.614 y[1] (analytic) = 1.4908565625066718396125680735563 y[1] (numeric) = 1.490856562506671839612568073556 absolute error = 3e-31 relative error = 2.0122660190433809650035475558485e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.379 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.615 y[1] (analytic) = 1.4917011394271377633024976946501 y[1] (numeric) = 1.4917011394271377633024976946498 absolute error = 3e-31 relative error = 2.0111267067558174176324752196580e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.379 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.616 y[1] (analytic) = 1.4925455979095264022647638399405 y[1] (numeric) = 1.4925455979095264022647638399402 absolute error = 3e-31 relative error = 2.0099888433571668488926185017637e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.379 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.617 y[1] (analytic) = 1.4933899363659963184532812621187 y[1] (numeric) = 1.4933899363659963184532812621184 absolute error = 3e-31 relative error = 2.0088524282547243621861641856179e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.378 Order of pole = 11.24 memory used=259.4MB, alloc=4.5MB, time=10.83 TOP MAIN SOLVE Loop x[1] = 0.618 y[1] (analytic) = 1.4942341532071161179639575135535 y[1] (numeric) = 1.4942341532071161179639575135532 absolute error = 3e-31 relative error = 2.0077174608551256648590554209234e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.378 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.619 y[1] (analytic) = 1.4950782468418687088483126392117 y[1] (numeric) = 1.4950782468418687088483126392113 absolute error = 4e-31 relative error = 2.6754452540858027830260058946448e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.378 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.62 y[1] (analytic) = 1.4959222156776555748084997235449 y[1] (numeric) = 1.4959222156776555748084997235446 absolute error = 3e-31 relative error = 2.0054518667877355925629984851726e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.378 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.621 y[1] (analytic) = 1.496766058120301064769148041294 y[1] (numeric) = 1.4967660581203010647691480412936 absolute error = 4e-31 relative error = 2.6724283185732850362086510124748e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.378 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.622 y[1] (analytic) = 1.4976097725740566983212970988167 y[1] (numeric) = 1.4976097725740566983212970988163 absolute error = 4e-31 relative error = 2.6709227418601131492460088858944e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.377 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.623 y[1] (analytic) = 1.4984533574416054870335361421403 y[1] (numeric) = 1.4984533574416054870335361421399 absolute error = 4e-31 relative error = 2.6694190914486835655467015917567e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.377 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.624 y[1] (analytic) = 1.4992968111240662716253097519707 y[1] (numeric) = 1.4992968111240662716253097519703 absolute error = 4e-31 relative error = 2.6679173665427088268038950740278e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.377 Order of pole = 11.24 TOP MAIN SOLVE Loop memory used=263.2MB, alloc=4.5MB, time=10.99 x[1] = 0.625 y[1] (analytic) = 1.5001401320209980749971959458951 y[1] (numeric) = 1.5001401320209980749971959458947 absolute error = 4e-31 relative error = 2.6664175663450688645186152164250e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.377 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.626 y[1] (analytic) = 1.5009833185304044711128087655089 y[1] (numeric) = 1.5009833185304044711128087655085 absolute error = 4e-31 relative error = 2.6649196900578176054297580095835e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.376 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.627 y[1] (analytic) = 1.5018263690487379697268226427274 y[1] (numeric) = 1.501826369048737969726822642727 absolute error = 4e-31 relative error = 2.6634237368821895645795089972920e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.376 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.628 y[1] (analytic) = 1.5026692819709044169534609166388 y[1] (numeric) = 1.5026692819709044169534609166384 absolute error = 4e-31 relative error = 2.6619297060186064260183058239309e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.376 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.629 y[1] (analytic) = 1.5035120556902674116696357114809 y[1] (numeric) = 1.5035120556902674116696357114805 absolute error = 4e-31 relative error = 2.6604375966666836111535547687235e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.376 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.63 y[1] (analytic) = 1.5043546885986527377467709892211 y[1] (numeric) = 1.5043546885986527377467709892206 absolute error = 5e-31 relative error = 3.3236842600315460434329861124047e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.375 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.631 y[1] (analytic) = 1.5051971790863528121051849583642 y[1] (numeric) = 1.5051971790863528121051849583638 absolute error = 4e-31 relative error = 2.6574591392922886485608318140225e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.375 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.632 y[1] (analytic) = 1.5060395255421311485847521555695 y[1] (numeric) = 1.5060395255421311485847521555691 absolute error = 4e-31 relative error = 2.6559727896650749726698072918570e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.375 Order of pole = 11.24 TOP MAIN SOLVE Loop memory used=267.0MB, alloc=4.5MB, time=11.15 x[1] = 0.633 y[1] (analytic) = 1.50688172635322683762540942 y[1] (numeric) = 1.5068817263532268376254094199996 absolute error = 4e-31 relative error = 2.6544883583400516144225104055941e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.375 Order of pole = 11.23 TOP MAIN SOLVE Loop x[1] = 0.634 y[1] (analytic) = 1.5077237799053590417509136536536 y[1] (numeric) = 1.5077237799053590417509136536532 absolute error = 4e-31 relative error = 2.6530058445129007750777317482899e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.374 Order of pole = 11.23 TOP MAIN SOLVE Loop x[1] = 0.635 y[1] (analytic) = 1.5085656845827315068491027058079 y[1] (numeric) = 1.5085656845827315068491027058075 absolute error = 4e-31 relative error = 2.6515252473785375441078010115849e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.374 Order of pole = 11.23 TOP MAIN SOLVE Loop x[1] = 0.636 y[1] (analytic) = 1.5094074387680370892417539377627 y[1] (numeric) = 1.5094074387680370892417539377623 absolute error = 4e-31 relative error = 2.6500465661311163811778912074390e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.374 Order of pole = 11.23 TOP MAIN SOLVE Loop x[1] = 0.637 y[1] (analytic) = 1.5102490408424622985369780168861 y[1] (numeric) = 1.5102490408424622985369780168857 absolute error = 4e-31 relative error = 2.6485697999640375858054992170926e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.374 Order of pole = 11.23 TOP MAIN SOLVE Loop x[1] = 0.638 y[1] (analytic) = 1.5110904891856918562569282581704 y[1] (numeric) = 1.5110904891856918562569282581699 absolute error = 5e-31 relative error = 3.3088686850874421933812406313440e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.373 Order of pole = 11.23 TOP MAIN SOLVE Loop x[1] = 0.639 y[1] (analytic) = 1.5119317821759132702334483787069 y[1] (numeric) = 1.5119317821759132702334483787064 absolute error = 5e-31 relative error = 3.3070275120509702835277320731157e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.373 Order of pole = 11.23 TOP MAIN SOLVE Loop x[1] = 0.64 y[1] (analytic) = 1.5127729181898214247641238573205 y[1] (numeric) = 1.51277291818982142476412385732 absolute error = 5e-31 relative error = 3.3051887298346018950799798905373e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.373 Order of pole = 11.23 TOP MAIN SOLVE Loop memory used=270.8MB, alloc=4.5MB, time=11.31 x[1] = 0.641 y[1] (analytic) = 1.5136138956026231865210441996892 y[1] (numeric) = 1.5136138956026231865210441996888 absolute error = 4e-31 relative error = 2.6426818699411177317282040015550e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.373 Order of pole = 11.23 TOP MAIN SOLVE Loop x[1] = 0.642 y[1] (analytic) = 1.5144547127880420262044253002665 y[1] (numeric) = 1.5144547127880420262044253002661 absolute error = 4e-31 relative error = 2.6412146670508109866387555363002e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.372 Order of pole = 11.23 TOP MAIN SOLVE Loop x[1] = 0.643 y[1] (analytic) = 1.5152953681183226559330827678524 y[1] (numeric) = 1.515295368118322655933082767852 absolute error = 4e-31 relative error = 2.6397493743857717929914386397970e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.372 Order of pole = 11.23 TOP MAIN SOLVE Loop x[1] = 0.644 y[1] (analytic) = 1.5161358599642356823635885433957 y[1] (numeric) = 1.5161358599642356823635885433953 absolute error = 4e-31 relative error = 2.6382859911343014459156857994519e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.372 Order of pole = 11.22 TOP MAIN SOLVE Loop x[1] = 0.645 y[1] (analytic) = 1.5169761866950822755297843881963 y[1] (numeric) = 1.5169761866950822755297843881959 absolute error = 4e-31 relative error = 2.6368245164839983947576477851374e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.372 Order of pole = 11.22 TOP MAIN SOLVE Loop x[1] = 0.646 y[1] (analytic) = 1.5178163466786988533941668597961 y[1] (numeric) = 1.5178163466786988533941668597957 absolute error = 4e-31 relative error = 2.6353649496217646020900950648454e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.371 Order of pole = 11.22 TOP MAIN SOLVE Loop x[1] = 0.647 y[1] (analytic) = 1.5186563382814617821024992231607 y[1] (numeric) = 1.5186563382814617821024992231604 absolute error = 3e-31 relative error = 1.9754304673003589178410080565829e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.371 Order of pole = 11.22 TOP MAIN SOLVE Loop x[1] = 0.648 y[1] (analytic) = 1.5194961598682920919328463679514 y[1] (numeric) = 1.5194961598682920919328463679511 absolute error = 3e-31 relative error = 1.9743386520042512076316164859802e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.371 Order of pole = 11.22 memory used=274.6MB, alloc=4.5MB, time=11.48 TOP MAIN SOLVE Loop x[1] = 0.649 y[1] (analytic) = 1.5203358098026602089300692204481 y[1] (numeric) = 1.5203358098026602089300692204478 absolute error = 3e-31 relative error = 1.9732482657166382211872156331453e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.37 Order of pole = 11.22 TOP MAIN SOLVE Loop x[1] = 0.65 y[1] (analytic) = 1.5211752864465907022166553527109 y[1] (numeric) = 1.5211752864465907022166553527105 absolute error = 4e-31 relative error = 2.6295457437675393049871291009048e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.37 Order of pole = 11.22 TOP MAIN SOLVE Loop x[1] = 0.651 y[1] (analytic) = 1.5220145881606670469706025035496 y[1] (numeric) = 1.5220145881606670469706025035493 absolute error = 3e-31 relative error = 1.9710717777189358438046736760860e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.37 Order of pole = 11.22 TOP MAIN SOLVE Loop x[1] = 0.652 y[1] (analytic) = 1.5228537133040364030609115375314 y[1] (numeric) = 1.5228537133040364030609115375311 absolute error = 3e-31 relative error = 1.9699856747836242372922291500655e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.37 Order of pole = 11.22 TOP MAIN SOLVE Loop x[1] = 0.653 y[1] (analytic) = 1.5236926602344144093310849812886 y[1] (numeric) = 1.5236926602344144093310849812883 absolute error = 3e-31 relative error = 1.9689009984063723424559823864301e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.369 Order of pole = 11.21 TOP MAIN SOLVE Loop x[1] = 0.654 y[1] (analytic) = 1.5245314273080899935208666925374 y[1] (numeric) = 1.5245314273080899935208666925371 absolute error = 3e-31 relative error = 1.9678177479733483006622497365934e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.369 Order of pole = 11.21 TOP MAIN SOLVE Loop x[1] = 0.655 y[1] (analytic) = 1.5253700128799301978162974381891 y[1] (numeric) = 1.5253700128799301978162974381887 absolute error = 4e-31 relative error = 2.6223145638269871973300347148551e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.369 Order of pole = 11.21 TOP MAIN SOLVE Loop memory used=278.4MB, alloc=4.5MB, time=11.64 x[1] = 0.656 y[1] (analytic) = 1.526208415303385020018000185476 y[1] (numeric) = 1.5262084153033850200180001854756 absolute error = 4e-31 relative error = 2.6208740299763489902858179060730e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.368 Order of pole = 11.21 TOP MAIN SOLVE Loop x[1] = 0.657 y[1] (analytic) = 1.5270466329304922703174477458621 y[1] (numeric) = 1.5270466329304922703174477458618 absolute error = 3e-31 relative error = 1.9645765461941549335209761420131e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.368 Order of pole = 11.21 TOP MAIN SOLVE Loop x[1] = 0.658 y[1] (analytic) = 1.5278846641118824436708040574067 y[1] (numeric) = 1.5278846641118824436708040574063 absolute error = 4e-31 relative error = 2.6179986578535956249590672396277e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.368 Order of pole = 11.21 TOP MAIN SOLVE Loop x[1] = 0.659 y[1] (analytic) = 1.5287225071967836077597688489584 y[1] (numeric) = 1.528722507196783607759768848958 absolute error = 4e-31 relative error = 2.6165638179389368615950527236193e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.368 Order of pole = 11.21 TOP MAIN SOLVE Loop x[1] = 0.66 y[1] (analytic) = 1.5295601605330263065286937008346 y[1] (numeric) = 1.5295601605330263065286937008342 absolute error = 4e-31 relative error = 2.6151308743593756056976985359612e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.367 Order of pole = 11.21 TOP MAIN SOLVE Loop x[1] = 0.661 y[1] (analytic) = 1.5303976224670484792870756032503 y[1] (numeric) = 1.5303976224670484792870756032499 absolute error = 4e-31 relative error = 2.6136998262921212712243557682705e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.367 Order of pole = 11.2 TOP MAIN SOLVE Loop x[1] = 0.662 y[1] (analytic) = 1.5312348913439003953663720174841 y[1] (numeric) = 1.5312348913439003953663720174837 absolute error = 4e-31 relative error = 2.6122706729137868651015280577850e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.367 Order of pole = 11.2 TOP MAIN SOLVE Loop x[1] = 0.663 y[1] (analytic) = 1.532071965507249604319919167377 y[1] (numeric) = 1.5320719655072496043199191673766 absolute error = 4e-31 relative error = 2.6108434134003951384955878502664e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.366 Order of pole = 11.2 TOP MAIN SOLVE Loop memory used=282.2MB, alloc=4.5MB, time=11.80 x[1] = 0.664 y[1] (analytic) = 1.5329088432993859016545728320482 y[1] (numeric) = 1.5329088432993859016545728320478 absolute error = 4e-31 relative error = 2.6094180469273847259206726888728e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.366 Order of pole = 11.2 TOP MAIN SOLVE Loop x[1] = 0.665 y[1] (analytic) = 1.5337455230612263100825282764654 y[1] (numeric) = 1.5337455230612263100825282764651 absolute error = 3e-31 relative error = 1.9559959295022122041428996804108e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.366 Order of pole = 11.2 TOP MAIN SOLVE Loop x[1] = 0.666 y[1] (analytic) = 1.5345820031323200762816131465336 y[1] (numeric) = 1.5345820031323200762816131465333 absolute error = 3e-31 relative error = 1.9549297423510339104158755459480e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.366 Order of pole = 11.2 TOP MAIN SOLVE Loop x[1] = 0.667 y[1] (analytic) = 1.5354182818508536831521841714632 y[1] (numeric) = 1.5354182818508536831521841714629 absolute error = 3e-31 relative error = 1.9538649731222959115183618112615e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.365 Order of pole = 11.2 TOP MAIN SOLVE Loop x[1] = 0.668 y[1] (analytic) = 1.5362543575536558775585953601692 y[1] (numeric) = 1.5362543575536558775585953601689 absolute error = 3e-31 relative error = 1.9528016211958706944249548494323e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.365 Order of pole = 11.2 TOP MAIN SOLVE Loop x[1] = 0.669 y[1] (analytic) = 1.5370902285762027135430420521436 y[1] (numeric) = 1.5370902285762027135430420521433 absolute error = 3e-31 relative error = 1.9517396859512155436234188939280e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.365 Order of pole = 11.19 TOP MAIN SOLVE Loop x[1] = 0.67 y[1] (analytic) = 1.5379258932526226109994216884712 y[1] (numeric) = 1.5379258932526226109994216884709 absolute error = 3e-31 relative error = 1.9506791667673770908212733173264e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.364 Order of pole = 11.19 TOP MAIN SOLVE Loop x[1] = 0.671 y[1] (analytic) = 1.53876134991570142979468850725 y[1] (numeric) = 1.5387613499157014297946885072497 absolute error = 3e-31 relative error = 1.9496200630229958555668348657021e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.364 Order of pole = 11.19 TOP MAIN SOLVE Loop memory used=286.1MB, alloc=4.5MB, time=11.96 x[1] = 0.672 y[1] (analytic) = 1.5395965968968875593250155414668 y[1] (numeric) = 1.5395965968968875593250155414665 absolute error = 3e-31 relative error = 1.9485623740963107767901312905998e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.364 Order of pole = 11.19 TOP MAIN SOLVE Loop x[1] = 0.673 y[1] (analytic) = 1.5404316325262970234939133082222 y[1] (numeric) = 1.5404316325262970234939133082219 absolute error = 3e-31 relative error = 1.9475060993651637352691501701777e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.363 Order of pole = 11.19 TOP MAIN SOLVE Loop x[1] = 0.674 y[1] (analytic) = 1.5412664551327186010992904279322 y[1] (numeric) = 1.5412664551327186010992904279319 absolute error = 3e-31 relative error = 1.9464512382070040670269338311344e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.363 Order of pole = 11.19 TOP MAIN SOLVE Loop x[1] = 0.675 y[1] (analytic) = 1.5421010630436189616162771026285 y[1] (numeric) = 1.5421010630436189616162771026281 absolute error = 4e-31 relative error = 2.5938637199985240902201042317012e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.363 Order of pole = 11.19 TOP MAIN SOLVE Loop x[1] = 0.676 y[1] (analytic) = 1.5429354545851478163624679155882 y[1] (numeric) = 1.5429354545851478163624679155878 absolute error = 4e-31 relative error = 2.5924610054900113168523198192223e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.362 Order of pole = 11.18 TOP MAIN SOLVE Loop x[1] = 0.677 y[1] (analytic) = 1.5437696280821430850320757921245 y[1] (numeric) = 1.5437696280821430850320757921241 absolute error = 4e-31 relative error = 2.5910601732521986913097370568062e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.362 Order of pole = 11.18 TOP MAIN SOLVE Loop x[1] = 0.678 y[1] (analytic) = 1.5446035818581360775853241853302 y[1] (numeric) = 1.5446035818581360775853241853298 absolute error = 4e-31 relative error = 2.5896612224529850266412011943826e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.362 Order of pole = 11.18 TOP MAIN SOLVE Loop x[1] = 0.679 y[1] (analytic) = 1.5454373142353566914792396227786 y[1] (numeric) = 1.5454373142353566914792396227782 absolute error = 4e-31 relative error = 2.5882641522597756510813872418113e-29 % Correct digits = 30 h = 0.001 memory used=289.9MB, alloc=4.5MB, time=12.12 Complex estimate of poles used for equation 1 Radius of convergence = 4.362 Order of pole = 11.18 TOP MAIN SOLVE Loop x[1] = 0.68 y[1] (analytic) = 1.546270823534738624225841672529 y[1] (numeric) = 1.5462708235347386242258416725286 absolute error = 4e-31 relative error = 2.5868689618394883535181473679145e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.361 Order of pole = 11.18 TOP MAIN SOLVE Loop x[1] = 0.681 y[1] (analytic) = 1.5471041080759246012635621611603 y[1] (numeric) = 1.5471041080759246012635621611599 absolute error = 4e-31 relative error = 2.5854756503585593169208218060605e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.361 Order of pole = 11.18 TOP MAIN SOLVE Loop x[1] = 0.682 y[1] (analytic) = 1.5479371661772716191275601048608 y[1] (numeric) = 1.5479371661772716191275601048604 absolute error = 4e-31 relative error = 2.5840842169829490397373527981069e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.361 Order of pole = 11.18 TOP MAIN SOLVE Loop x[1] = 0.683 y[1] (analytic) = 1.5487699961558562039044332987461 y[1] (numeric) = 1.5487699961558562039044332987457 absolute error = 4e-31 relative error = 2.5826946608781482452681012016644e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.36 Order of pole = 11.17 TOP MAIN SOLVE Loop x[1] = 0.684 y[1] (analytic) = 1.5496025963274796849566618514712 y[1] (numeric) = 1.5496025963274796849566618514708 absolute error = 4e-31 relative error = 2.5813069812091837790243251775554e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.36 Order of pole = 11.17 TOP MAIN SOLVE Loop x[1] = 0.685 y[1] (analytic) = 1.5504349650066734839019531537679 y[1] (numeric) = 1.5504349650066734839019531537676 absolute error = 3e-31 relative error = 1.9349408828554683705595048991469e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.36 Order of pole = 11.17 TOP MAIN SOLVE Loop x[1] = 0.686 y[1] (analytic) = 1.5512671005067044188324918326984 y[1] (numeric) = 1.5512671005067044188324918326981 absolute error = 3e-31 relative error = 1.9339029358774403433153271104385e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.359 Order of pole = 11.17 TOP MAIN SOLVE Loop memory used=293.7MB, alloc=4.5MB, time=12.28 x[1] = 0.687 y[1] (analytic) = 1.5520990011395800237589321701035 y[1] (numeric) = 1.5520990011395800237589321701032 absolute error = 3e-31 relative error = 1.9328663943455566097322716151178e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.359 Order of pole = 11.17 TOP MAIN SOLVE Loop x[1] = 0.688 y[1] (analytic) = 1.5529306652160538832638042558774 y[1] (numeric) = 1.5529306652160538832638042558771 absolute error = 3e-31 relative error = 1.9318312576322397207464223233337e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.359 Order of pole = 11.17 TOP MAIN SOLVE Loop x[1] = 0.689 y[1] (analytic) = 1.5537620910456309823488388062599 y[1] (numeric) = 1.5537620910456309823488388062596 absolute error = 3e-31 relative error = 1.9307975251095862990858249841096e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.358 Order of pole = 11.16 TOP MAIN SOLVE Loop x[1] = 0.69 y[1] (analytic) = 1.5545932769365730714605491062561 y[1] (numeric) = 1.5545932769365730714605491062558 absolute error = 3e-31 relative error = 1.9297651961493714083481692667459e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.358 Order of pole = 11.16 TOP MAIN SOLVE Loop x[1] = 0.691 y[1] (analytic) = 1.5554242211959040466782419355254 y[1] (numeric) = 1.5554242211959040466782419355252 absolute error = 2e-31 relative error = 1.2858228467487019420733273819697e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.358 Order of pole = 11.16 TOP MAIN SOLVE Loop x[1] = 0.692 y[1] (analytic) = 1.556254922129415345048462610589 y[1] (numeric) = 1.5562549221294153450484626105887 absolute error = 3e-31 relative error = 1.9277047464017758300737153060602e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.358 Order of pole = 11.16 TOP MAIN SOLVE Loop x[1] = 0.693 y[1] (analytic) = 1.5570853780416713550497124249516 y[1] (numeric) = 1.5570853780416713550497124249514 absolute error = 2e-31 relative error = 1.2844510829042511135059347675520e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.357 Order of pole = 11.16 TOP MAIN SOLVE Loop x[1] = 0.694 y[1] (analytic) = 1.5579155872360148421711097947032 y[1] (numeric) = 1.5579155872360148421711097947029 absolute error = 3e-31 relative error = 1.9256499033573877722441025270821e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.357 Order of pole = 11.16 TOP MAIN SOLVE Loop memory used=297.5MB, alloc=4.5MB, time=12.45 x[1] = 0.695 y[1] (analytic) = 1.5587455480145723895884993223199 y[1] (numeric) = 1.5587455480145723895884993223196 absolute error = 3e-31 relative error = 1.9246245827750416264657707501883e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.357 Order of pole = 11.16 TOP MAIN SOLVE Loop x[1] = 0.696 y[1] (analytic) = 1.55957525867825985392134577773 y[1] (numeric) = 1.5595752586782598539213457777297 absolute error = 3e-31 relative error = 1.9236006619792751905807246220348e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.356 Order of pole = 11.15 TOP MAIN SOLVE Loop x[1] = 0.697 y[1] (analytic) = 1.5604047175267878360535826652182 y[1] (numeric) = 1.5604047175267878360535826652179 absolute error = 3e-31 relative error = 1.9225781403397341958986850827866e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.356 Order of pole = 11.15 TOP MAIN SOLVE Loop x[1] = 0.698 y[1] (analytic) = 1.5612339228586671670014175994223 y[1] (numeric) = 1.561233922858667167001417599422 absolute error = 3e-31 relative error = 1.9215570172257774448914693027692e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.356 Order of pole = 11.15 TOP MAIN SOLVE Loop x[1] = 0.699 y[1] (analytic) = 1.5620628729712144088109291555287 y[1] (numeric) = 1.5620628729712144088109291555284 absolute error = 3e-31 relative error = 1.9205372920064810997854525807720e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.355 Order of pole = 11.15 TOP MAIN SOLVE Loop x[1] = 0.7 y[1] (analytic) = 1.5628915661605573704681221897996 y[1] (numeric) = 1.5628915661605573704681221897993 absolute error = 3e-31 relative error = 1.9195189640506429622439557002254e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.355 Order of pole = 11.15 TOP MAIN SOLVE Loop x[1] = 0.701 y[1] (analytic) = 1.5637200007216406388039408487919 y[1] (numeric) = 1.5637200007216406388039408487916 absolute error = 3e-31 relative error = 1.9185020327267867441462554560055e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.355 Order of pole = 11.15 TOP MAIN SOLVE Loop x[1] = 0.702 y[1] (analytic) = 1.5645481749482311243765706010612 y[1] (numeric) = 1.5645481749482311243765706010608 absolute error = 4e-31 relative error = 2.5566486632042217726266092099200e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.355 Order of pole = 11.15 TOP MAIN SOLVE Loop memory used=301.3MB, alloc=4.5MB, time=12.61 x[1] = 0.703 y[1] (analytic) = 1.5653760871329236223131926358218 y[1] (numeric) = 1.5653760871329236223131926358215 absolute error = 3e-31 relative error = 1.9164723574477700272835065373282e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.354 Order of pole = 11.15 TOP MAIN SOLVE Loop x[1] = 0.704 y[1] (analytic) = 1.5662037355671463880931858809808 y[1] (numeric) = 1.5662037355671463880931858809805 absolute error = 3e-31 relative error = 1.9154596122283248158556659028450e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.354 Order of pole = 11.14 TOP MAIN SOLVE Loop x[1] = 0.705 y[1] (analytic) = 1.5670311185411667282546037002143 y[1] (numeric) = 1.567031118541166728254603700214 absolute error = 3e-31 relative error = 1.9144482611123005778888055524647e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.354 Order of pole = 11.14 TOP MAIN SOLVE Loop x[1] = 0.706 y[1] (analytic) = 1.567858234344096606005584037363 y[1] (numeric) = 1.5678582343440966060055840373627 absolute error = 3e-31 relative error = 1.9134383034669143268829189539138e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.353 Order of pole = 11.14 TOP MAIN SOLVE Loop x[1] = 0.707 y[1] (analytic) = 1.5686850812638982617221833884209 y[1] (numeric) = 1.5686850812638982617221833884206 absolute error = 3e-31 relative error = 1.9124297386591344246372959320515e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.353 Order of pole = 11.14 TOP MAIN SOLVE Loop x[1] = 0.708 y[1] (analytic) = 1.5695116575873898483139564988501 y[1] (numeric) = 1.5695116575873898483139564988498 absolute error = 3e-31 relative error = 1.9114225660556847898968346528596e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.353 Order of pole = 11.14 TOP MAIN SOLVE Loop x[1] = 0.709 y[1] (analytic) = 1.5703379616002510814384351089174 y[1] (numeric) = 1.5703379616002510814384351089171 absolute error = 3e-31 relative error = 1.9104167850230490981500105108267e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.353 Order of pole = 11.14 TOP MAIN SOLVE Loop x[1] = 0.71 y[1] (analytic) = 1.5711639915870289045454904042928 y[1] (numeric) = 1.5711639915870289045454904042926 absolute error = 2e-31 relative error = 1.2729415966183166483903729215431e-29 % Correct digits = 30 h = 0.001 memory used=305.1MB, alloc=4.5MB, time=12.77 Complex estimate of poles used for equation 1 Radius of convergence = 4.352 Order of pole = 11.14 TOP MAIN SOLVE Loop x[1] = 0.711 y[1] (analytic) = 1.5719897458311431687323950753398 y[1] (numeric) = 1.5719897458311431687323950753396 absolute error = 2e-31 relative error = 1.2722729300899854441433143982722e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.352 Order of pole = 11.13 TOP MAIN SOLVE Loop x[1] = 0.712 y[1] (analytic) = 1.5728152226148923273902320484391 y[1] (numeric) = 1.5728152226148923273902320484389 absolute error = 2e-31 relative error = 1.2716051900075644901119544384535e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.352 Order of pole = 11.13 TOP MAIN SOLVE Loop x[1] = 0.713 y[1] (analytic) = 1.5736404202194591456221280284078 y[1] (numeric) = 1.5736404202194591456221280284076 absolute error = 2e-31 relative error = 1.2709383759480968021119181250917e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.351 Order of pole = 11.13 TOP MAIN SOLVE Loop x[1] = 0.714 y[1] (analytic) = 1.5744653369249164244136209846812 y[1] (numeric) = 1.574465336924916424413620984681 absolute error = 2e-31 relative error = 1.2702724874884791447965925691918e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.351 Order of pole = 11.13 TOP MAIN SOLVE Loop x[1] = 0.715 y[1] (analytic) = 1.5752899710102327395353016275215 y[1] (numeric) = 1.5752899710102327395353016275213 absolute error = 2e-31 relative error = 1.2696075242054647962287740117567e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.351 Order of pole = 11.13 TOP MAIN SOLVE Loop x[1] = 0.716 y[1] (analytic) = 1.5761143207532781951576997561885 y[1] (numeric) = 1.5761143207532781951576997561883 absolute error = 2e-31 relative error = 1.2689434856756663065868938052944e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.351 Order of pole = 11.13 TOP MAIN SOLVE Loop x[1] = 0.717 y[1] (analytic) = 1.576938384430830192158217120869 y[1] (numeric) = 1.5769383844308301921582171208688 absolute error = 2e-31 relative error = 1.2682803714755582510107067357556e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.35 Order of pole = 11.13 TOP MAIN SOLVE Loop memory used=309.0MB, alloc=4.5MB, time=12.93 x[1] = 0.718 y[1] (analytic) = 1.5777621603185792110997391263114 y[1] (numeric) = 1.5777621603185792110997391263112 absolute error = 2e-31 relative error = 1.2676181811814799765913500748159e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.35 Order of pole = 11.13 TOP MAIN SOLVE Loop x[1] = 0.719 y[1] (analytic) = 1.5785856466911346098603883196716 y[1] (numeric) = 1.5785856466911346098603883196714 absolute error = 2e-31 relative error = 1.2669569143696383435107065399830e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.35 Order of pole = 11.13 TOP MAIN SOLVE Loop x[1] = 0.72 y[1] (analytic) = 1.579408841822030435893713150161 y[1] (numeric) = 1.5794088418220304358937131501608 absolute error = 2e-31 relative error = 1.2662965706161104603350289864050e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.35 Order of pole = 11.12 TOP MAIN SOLVE Loop x[1] = 0.721 y[1] (analytic) = 1.5802317439837312530984359658194 y[1] (numeric) = 1.5802317439837312530984359658192 absolute error = 2e-31 relative error = 1.2656371494968464134678091597753e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.349 Order of pole = 11.12 TOP MAIN SOLVE Loop x[1] = 0.722 y[1] (analytic) = 1.5810543514476379832767146252511 y[1] (numeric) = 1.5810543514476379832767146252509 absolute error = 2e-31 relative error = 1.2649786505876719907668972046234e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.349 Order of pole = 11.12 TOP MAIN SOLVE Loop x[1] = 0.723 y[1] (analytic) = 1.5818766624840937621597024515882 y[1] (numeric) = 1.5818766624840937621597024515881 absolute error = 1e-31 relative error = 6.3216053673214569966545142342039e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.349 Order of pole = 11.12 TOP MAIN SOLVE Loop x[1] = 0.724 y[1] (analytic) = 1.5826986753623898099790215444282 y[1] (numeric) = 1.5826986753623898099790215444281 absolute error = 1e-31 relative error = 6.3183220885114498872996662689056e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.348 Order of pole = 11.12 TOP MAIN SOLVE Loop x[1] = 0.725 y[1] (analytic) = 1.5835203883507713165625946951702 y[1] (numeric) = 1.5835203883507713165625946951701 absolute error = 1e-31 relative error = 6.3150434143856845039787325998582e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.348 Order of pole = 11.12 TOP MAIN SOLVE Loop memory used=312.8MB, alloc=4.5MB, time=13.09 x[1] = 0.726 y[1] (analytic) = 1.5843417997164433409331113242071 y[1] (numeric) = 1.584341799716443340933111324207 absolute error = 1e-31 relative error = 6.3117693428209394132321176582661e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.348 Order of pole = 11.12 TOP MAIN SOLVE Loop x[1] = 0.727 y[1] (analytic) = 1.5851629077255767253872329769602 y[1] (numeric) = 1.5851629077255767253872329769601 absolute error = 1e-31 relative error = 6.3084998716934393425034231465343e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.348 Order of pole = 11.12 TOP MAIN SOLVE Loop x[1] = 0.728 y[1] (analytic) = 1.5859837106433140240334739819444 y[1] (numeric) = 1.5859837106433140240334739819443 absolute error = 1e-31 relative error = 6.3052349988788686236850050714721e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.347 Order of pole = 11.12 TOP MAIN SOLVE Loop x[1] = 0.729 y[1] (analytic) = 1.5868042067337754457665228900762 y[1] (numeric) = 1.5868042067337754457665228900761 absolute error = 1e-31 relative error = 6.3019747222523846076633711701370e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.347 Order of pole = 11.12 TOP MAIN SOLVE Loop x[1] = 0.73 y[1] (analytic) = 1.5876243942600648116556002824668 y[1] (numeric) = 1.5876243942600648116556002824667 absolute error = 1e-31 relative error = 6.2987190396886310498904016497259e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.347 Order of pole = 11.11 TOP MAIN SOLVE Loop x[1] = 0.731 y[1] (analytic) = 1.5884442714842755267242784561455 y[1] (numeric) = 1.5884442714842755267242784561453 absolute error = 2e-31 relative error = 1.2590935898123502934012983443187e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.347 Order of pole = 11.11 TOP MAIN SOLVE Loop x[1] = 0.732 y[1] (analytic) = 1.589263836667496566099018375715 y[1] (numeric) = 1.5892638366674965660990183757148 absolute error = 2e-31 relative error = 1.2584442896490804929083658557730e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.347 Order of pole = 11.11 TOP MAIN SOLVE Loop x[1] = 0.733 y[1] (analytic) = 1.5900830880698184755035091160434 y[1] (numeric) = 1.5900830880698184755035091160432 absolute error = 2e-31 relative error = 1.2577959070225534071444270497135e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.346 Order of pole = 11.11 TOP MAIN SOLVE Loop memory used=316.6MB, alloc=4.5MB, time=13.25 x[1] = 0.734 y[1] (analytic) = 1.5909020239503393860757248189243 y[1] (numeric) = 1.5909020239503393860757248189241 absolute error = 2e-31 relative error = 1.2571484415073135662810615288386e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.346 Order of pole = 11.11 TOP MAIN SOLVE Loop x[1] = 0.735 y[1] (analytic) = 1.5917206425671710434844439473951 y[1] (numeric) = 1.591720642567171043484443947395 absolute error = 1e-31 relative error = 6.2825094633890804011755231544350e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.346 Order of pole = 11.11 TOP MAIN SOLVE Loop x[1] = 0.736 y[1] (analytic) = 1.5925389421774448513218053472856 y[1] (numeric) = 1.5925389421774448513218053472854 absolute error = 2e-31 relative error = 1.2558562601084292811242924459940e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.346 Order of pole = 11.11 TOP MAIN SOLVE Loop x[1] = 0.737 y[1] (analytic) = 1.5933569210373179287483053187771 y[1] (numeric) = 1.5933569210373179287483053187769 absolute error = 2e-31 relative error = 1.2552115433734373599650870147954e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.345 Order of pole = 11.11 TOP MAIN SOLVE Loop x[1] = 0.738 y[1] (analytic) = 1.5941745774019791823664695635099 y[1] (numeric) = 1.5941745774019791823664695635097 absolute error = 2e-31 relative error = 1.2545677420470429976180593409859e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.345 Order of pole = 11.11 TOP MAIN SOLVE Loop x[1] = 0.739 y[1] (analytic) = 1.5949919095256553922992635072749 y[1] (numeric) = 1.5949919095256553922992635072747 absolute error = 2e-31 relative error = 1.2539248557033699899862298687158e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.345 Order of pole = 11.11 TOP MAIN SOLVE Loop x[1] = 0.74 y[1] (analytic) = 1.595808915661617312449134106808 y[1] (numeric) = 1.5958089156616173124491341068078 absolute error = 2e-31 relative error = 1.2532828839164658674717879562529e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.345 Order of pole = 11.11 TOP MAIN SOLVE Loop x[1] = 0.741 y[1] (analytic) = 1.5966255940621857849134058338756 y[1] (numeric) = 1.5966255940621857849134058338754 absolute error = 2e-31 relative error = 1.2526418262603045086966336230391e-29 % Correct digits = 30 h = 0.001 memory used=320.4MB, alloc=4.5MB, time=13.41 Complex estimate of poles used for equation 1 Radius of convergence = 4.345 Order of pole = 11.11 TOP MAIN SOLVE Loop x[1] = 0.742 y[1] (analytic) = 1.5974419429787378685315830929374 y[1] (numeric) = 1.5974419429787378685315830929372 absolute error = 2e-31 relative error = 1.2520016823087887484922064579132e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.344 Order of pole = 11.11 TOP MAIN SOLVE Loop x[1] = 0.743 y[1] (analytic) = 1.5982579606617129815399408724278 y[1] (numeric) = 1.5982579606617129815399408724276 absolute error = 2e-31 relative error = 1.2513624516357529801640880521292e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.344 Order of pole = 11.11 TOP MAIN SOLVE Loop x[1] = 0.744 y[1] (analytic) = 1.599073645360619058308614956342 y[1] (numeric) = 1.5990736453606190583086149563418 absolute error = 2e-31 relative error = 1.2507241338149657520368856621641e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.344 Order of pole = 11.11 TOP MAIN SOLVE Loop x[1] = 0.745 y[1] (analytic) = 1.5998889953240387201362325346006 y[1] (numeric) = 1.5998889953240387201362325346004 absolute error = 2e-31 relative error = 1.2500867284201323582849260144498e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.344 Order of pole = 11.11 TOP MAIN SOLVE Loop x[1] = 0.746 y[1] (analytic) = 1.6007040087996354600769535498296 y[1] (numeric) = 1.6007040087996354600769535498294 absolute error = 2e-31 relative error = 1.2494502350248974240543092373783e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.344 Order of pole = 11.1 TOP MAIN SOLVE Loop x[1] = 0.747 y[1] (analytic) = 1.6015186840341598417746226069943 y[1] (numeric) = 1.6015186840341598417746226069941 absolute error = 2e-31 relative error = 1.2488146532028474848818938454873e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.343 Order of pole = 11.1 TOP MAIN SOLVE Loop x[1] = 0.748 y[1] (analytic) = 1.6023330192734557122785607530135 y[1] (numeric) = 1.6023330192734557122785607530134 absolute error = 1e-31 relative error = 6.2408999126375678020840225346356e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.343 Order of pole = 11.1 TOP MAIN SOLVE Loop memory used=324.2MB, alloc=4.5MB, time=13.57 x[1] = 0.749 y[1] (analytic) = 1.6031470127624664288153559083189 y[1] (numeric) = 1.6031470127624664288153559083188 absolute error = 1e-31 relative error = 6.2377311128618686122503749920819e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.343 Order of pole = 11.1 TOP MAIN SOLVE Loop x[1] = 0.75 y[1] (analytic) = 1.6039606627452410994908402035731 y[1] (numeric) = 1.6039606627452410994908402035729 absolute error = 2e-31 relative error = 1.2469133729108556572580592922029e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.343 Order of pole = 11.1 TOP MAIN SOLVE Loop x[1] = 0.751 y[1] (analytic) = 1.6047739674649408378962719446937 y[1] (numeric) = 1.6047739674649408378962719446935 absolute error = 2e-31 relative error = 1.2462814331163392222652641273369e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.343 Order of pole = 11.1 TOP MAIN SOLVE Loop x[1] = 0.752 y[1] (analytic) = 1.6055869251638450315925694002174 y[1] (numeric) = 1.6055869251638450315925694002172 absolute error = 2e-31 relative error = 1.2456504027621589970322766931220e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.342 Order of pole = 11.1 TOP MAIN SOLVE Loop x[1] = 0.753 y[1] (analytic) = 1.6063995340833576244462730791551 y[1] (numeric) = 1.606399534083357624446273079155 absolute error = 1e-31 relative error = 6.2251014071080341428724059811240e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.342 Order of pole = 11.1 TOP MAIN SOLVE Loop x[1] = 0.754 y[1] (analytic) = 1.6072117924640134127907426471243 y[1] (numeric) = 1.6072117924640134127907426471242 absolute error = 1e-31 relative error = 6.2219553433396718550863904743423e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.342 Order of pole = 11.1 TOP MAIN SOLVE Loop x[1] = 0.755 y[1] (analytic) = 1.6080236985454843553859241159739 y[1] (numeric) = 1.6080236985454843553859241159737 absolute error = 2e-31 relative error = 1.2437627640743556195935396641143e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.342 Order of pole = 11.1 TOP MAIN SOLVE Loop x[1] = 0.756 y[1] (analytic) = 1.60883525056658589714985243964 y[1] (numeric) = 1.6088352505665858971498524396398 absolute error = 2e-31 relative error = 1.2431353672140494389890553057115e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.342 Order of pole = 11.1 TOP MAIN SOLVE Loop memory used=328.0MB, alloc=4.5MB, time=13.73 x[1] = 0.757 y[1] (analytic) = 1.6096464467652833066348841588762 y[1] (numeric) = 1.609646446765283306634884158876 absolute error = 2e-31 relative error = 1.2425088776601620860417396346729e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.342 Order of pole = 11.1 TOP MAIN SOLVE Loop x[1] = 0.758 y[1] (analytic) = 1.6104572853786980272214842620865 y[1] (numeric) = 1.6104572853786980272214842620863 absolute error = 2e-31 relative error = 1.2418832949858097268003958628905e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.341 Order of pole = 11.1 TOP MAIN SOLVE Loop x[1] = 0.759 y[1] (analytic) = 1.6112677646431140420022209710642 y[1] (numeric) = 1.611267764643114042002220971064 absolute error = 2e-31 relative error = 1.2412586187640809479488463580247e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.341 Order of pole = 11.1 TOP MAIN SOLVE Loop x[1] = 0.76 y[1] (analytic) = 1.6120778827939842523284517213009 y[1] (numeric) = 1.6120778827939842523284517213007 absolute error = 2e-31 relative error = 1.2406348485680392626012614838784e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.341 Order of pole = 11.1 TOP MAIN SOLVE Loop x[1] = 0.761 y[1] (analytic) = 1.6128876380659368699920131889946 y[1] (numeric) = 1.6128876380659368699920131889944 absolute error = 2e-31 relative error = 1.2400119839707256104745369267793e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.341 Order of pole = 11.1 TOP MAIN SOLVE Loop x[1] = 0.762 y[1] (analytic) = 1.6136970286927818230140578232688 y[1] (numeric) = 1.6136970286927818230140578232686 absolute error = 2e-31 relative error = 1.2393900245451608524435886814372e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.341 Order of pole = 11.1 TOP MAIN SOLVE Loop x[1] = 0.763 y[1] (analytic) = 1.6145060529075171750130089747287 y[1] (numeric) = 1.6145060529075171750130089747285 absolute error = 2e-31 relative error = 1.2387689698643482594854537095981e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.341 Order of pole = 11.1 TOP MAIN SOLVE Loop x[1] = 0.764 y[1] (analytic) = 1.6153147089423355581234363726571 y[1] (numeric) = 1.6153147089423355581234363726569 absolute error = 2e-31 relative error = 1.2381488195012759960181029958723e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.341 Order of pole = 11.1 TOP MAIN SOLVE Loop memory used=331.8MB, alloc=4.5MB, time=13.89 x[1] = 0.765 y[1] (analytic) = 1.6161229950286306194374833952092 y[1] (numeric) = 1.616122995028630619437483395209 absolute error = 2e-31 relative error = 1.2375295730289195976398923076630e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.34 Order of pole = 11.1 TOP MAIN SOLVE Loop x[1] = 0.766 y[1] (analytic) = 1.6169309093970034809403073022408 y[1] (numeric) = 1.6169309093970034809403073022405 absolute error = 3e-31 relative error = 1.8553668450303666649133916306599e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.34 Order of pole = 11.1 TOP MAIN SOLVE Loop x[1] = 0.767 y[1] (analytic) = 1.617738450277269212910823361224 y[1] (numeric) = 1.6177384502772692129108233612238 absolute error = 2e-31 relative error = 1.2362937900482082217349748959948e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.34 Order of pole = 11.1 TOP MAIN SOLVE Loop x[1] = 0.768 y[1] (analytic) = 1.618545615898463320758873595417 y[1] (numeric) = 1.6185456158984633207588735954168 absolute error = 2e-31 relative error = 1.2356772526857633926898917000549e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.34 Order of pole = 11.1 TOP MAIN SOLVE Loop x[1] = 0.769 y[1] (analytic) = 1.6193524044888482452697707223882 y[1] (numeric) = 1.6193524044888482452697707223879 absolute error = 3e-31 relative error = 1.8525924262587894631138755255212e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.34 Order of pole = 11.11 TOP MAIN SOLVE Loop x[1] = 0.77 y[1] (analytic) = 1.620158814275919876226997732512 y[1] (numeric) = 1.6201588142759198762269977325117 absolute error = 3e-31 relative error = 1.8516703261221694978867463457830e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.34 Order of pole = 11.11 TOP MAIN SOLVE Loop x[1] = 0.771 y[1] (analytic) = 1.6209648434864140793836734834865 y[1] (numeric) = 1.6209648434864140793836734834863 absolute error = 2e-31 relative error = 1.2338330519854749446316875228696e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.34 Order of pole = 11.11 TOP MAIN SOLVE Loop memory used=335.7MB, alloc=4.5MB, time=14.05 x[1] = 0.772 y[1] (analytic) = 1.6217704903463132367532246606374 y[1] (numeric) = 1.6217704903463132367532246606371 absolute error = 3e-31 relative error = 1.8498301811863522825042588557331e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.34 Order of pole = 11.11 TOP MAIN SOLVE Loop x[1] = 0.773 y[1] (analytic) = 1.6225757530808528001895344761177 y[1] (numeric) = 1.6225757530808528001895344761174 absolute error = 3e-31 relative error = 1.8489121351060336451189815665777e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.34 Order of pole = 11.11 TOP MAIN SOLVE Loop x[1] = 0.774 y[1] (analytic) = 1.6233806299145278582266685554554 y[1] (numeric) = 1.6233806299145278582266685554551 absolute error = 3e-31 relative error = 1.8479954390967151851300235948785e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.339 Order of pole = 11.11 TOP MAIN SOLVE Loop x[1] = 0.775 y[1] (analytic) = 1.624185119071099716148108589594 y[1] (numeric) = 1.6241851190710997161481085895937 absolute error = 3e-31 relative error = 1.8470800925178733457655555904783e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.339 Order of pole = 11.11 TOP MAIN SOLVE Loop x[1] = 0.776 y[1] (analytic) = 1.6249892187736024892552545169965 y[1] (numeric) = 1.6249892187736024892552545169962 absolute error = 3e-31 relative error = 1.8461660947290059579576785694234e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.339 Order of pole = 11.11 TOP MAIN SOLVE Loop x[1] = 0.777 y[1] (analytic) = 1.6257929272443497093047862458989 y[1] (numeric) = 1.6257929272443497093047862458986 absolute error = 3e-31 relative error = 1.8452534450896358568662244704168e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.339 Order of pole = 11.11 TOP MAIN SOLVE Loop x[1] = 0.778 y[1] (analytic) = 1.6265962427049409440843062337865 y[1] (numeric) = 1.6265962427049409440843062337862 absolute error = 3e-31 relative error = 1.8443421429593144901215063485031e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.339 Order of pole = 11.11 TOP MAIN SOLVE Loop x[1] = 0.779 y[1] (analytic) = 1.6273991633762684300955146120024 y[1] (numeric) = 1.6273991633762684300955146120021 absolute error = 3e-31 relative error = 1.8434321876976255177952764017309e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.339 Order of pole = 11.11 TOP MAIN SOLVE Loop memory used=339.5MB, alloc=4.5MB, time=14.21 x[1] = 0.78 y[1] (analytic) = 1.6282016874785237183139989804589 y[1] (numeric) = 1.6282016874785237183139989804586 absolute error = 3e-31 relative error = 1.8425235786641884041091750608419e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.339 Order of pole = 11.11 TOP MAIN SOLVE Loop x[1] = 0.781 y[1] (analytic) = 1.6290038132312043329945515031014 y[1] (numeric) = 1.6290038132312043329945515031011 absolute error = 3e-31 relative error = 1.8416163152186620008899792205174e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.339 Order of pole = 11.11 TOP MAIN SOLVE Loop x[1] = 0.782 y[1] (analytic) = 1.6298055388531204434907565114502 y[1] (numeric) = 1.62980553885312044349075651145 absolute error = 2e-31 relative error = 1.2271402644804987485206549025388e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.339 Order of pole = 11.11 TOP MAIN SOLVE Loop x[1] = 0.783 y[1] (analytic) = 1.6306068625624015490574224736169 y[1] (numeric) = 1.6306068625624015490574224736167 absolute error = 2e-31 relative error = 1.2265372150201300761459091530086e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.339 Order of pole = 11.11 TOP MAIN SOLVE Loop x[1] = 0.784 y[1] (analytic) = 1.6314077825765031766042629120459 y[1] (numeric) = 1.6314077825765031766042629120457 absolute error = 2e-31 relative error = 1.2259350613378676054569521639338e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.339 Order of pole = 11.12 TOP MAIN SOLVE Loop x[1] = 0.785 y[1] (analytic) = 1.6322082971122135913690616572748 y[1] (numeric) = 1.6322082971122135913690616572746 absolute error = 2e-31 relative error = 1.2253338030069460511624150024788e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.339 Order of pole = 11.12 TOP MAIN SOLVE Loop x[1] = 0.786 y[1] (analytic) = 1.6330084043856605204783887096287 y[1] (numeric) = 1.6330084043856605204783887096285 absolute error = 2e-31 relative error = 1.2247334396006382489115044448866e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.339 Order of pole = 11.12 TOP MAIN SOLVE Loop x[1] = 0.787 y[1] (analytic) = 1.6338081026123178893637639483794 y[1] (numeric) = 1.6338081026123178893637639483792 absolute error = 2e-31 relative error = 1.2241339706922575113825902703606e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.339 Order of pole = 11.12 TOP MAIN SOLVE Loop memory used=343.3MB, alloc=4.5MB, time=14.38 x[1] = 0.788 y[1] (analytic) = 1.6346073900070125710009969809066 y[1] (numeric) = 1.6346073900070125710009969809064 absolute error = 2e-31 relative error = 1.2235353958551599789135498423895e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.338 Order of pole = 11.12 TOP MAIN SOLVE Loop x[1] = 0.789 y[1] (analytic) = 1.6354062647839311479402625652154 y[1] (numeric) = 1.6354062647839311479402625652153 absolute error = 1e-31 relative error = 6.1146885733137348234010173178596e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.338 Order of pole = 11.12 TOP MAIN SOLVE Loop x[1] = 0.79 y[1] (analytic) = 1.6362047251566266870943022701946 y[1] (numeric) = 1.6362047251566266870943022701945 absolute error = 1e-31 relative error = 6.1117046334423364721459472689984e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.338 Order of pole = 11.12 TOP MAIN SOLVE Loop x[1] = 0.791 y[1] (analytic) = 1.6370027693380255272519743616677 y[1] (numeric) = 1.6370027693380255272519743616676 absolute error = 1e-31 relative error = 6.1087251575290982038582162225006e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.338 Order of pole = 11.12 TOP MAIN SOLVE Loop x[1] = 0.792 y[1] (analytic) = 1.6378003955404340792842053210119 y[1] (numeric) = 1.6378003955404340792842053210118 absolute error = 1e-31 relative error = 6.1057501434417742602203000189267e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.338 Order of pole = 11.12 TOP MAIN SOLVE Loop x[1] = 0.793 y[1] (analytic) = 1.6385976019755456390092279193138 y[1] (numeric) = 1.6385976019755456390092279193137 absolute error = 1e-31 relative error = 6.1027795890483913787136770456513e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.338 Order of pole = 11.13 TOP MAIN SOLVE Loop x[1] = 0.794 y[1] (analytic) = 1.6393943868544472126838223861283 y[1] (numeric) = 1.6393943868544472126838223861282 absolute error = 1e-31 relative error = 6.0998134922172603826909708293621e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.338 Order of pole = 11.13 TOP MAIN SOLVE Loop x[1] = 0.795 y[1] (analytic) = 1.6401907483876263550871089303319 y[1] (numeric) = 1.6401907483876263550871089303318 absolute error = 1e-31 relative error = 6.0968518508169877443801536584753e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.338 Order of pole = 11.13 TOP MAIN SOLVE Loop memory used=347.1MB, alloc=4.5MB, time=14.54 x[1] = 0.796 y[1] (analytic) = 1.6409866847849780201632716937442 y[1] (numeric) = 1.6409866847849780201632716937441 absolute error = 1e-31 relative error = 6.0938946627164871208530072480691e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.338 Order of pole = 11.13 TOP MAIN SOLVE Loop x[1] = 0.797 y[1] (analytic) = 1.6417821942558114241894261485646 y[1] (numeric) = 1.6417821942558114241894261485645 absolute error = 1e-31 relative error = 6.0909419257849908629901095756307e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.338 Order of pole = 11.13 TOP MAIN SOLVE Loop x[1] = 0.798 y[1] (analytic) = 1.6425772750088569214346739896743 y[1] (numeric) = 1.6425772750088569214346739896742 absolute error = 1e-31 relative error = 6.0879936378920614974746895369628e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.338 Order of pole = 11.13 TOP MAIN SOLVE Loop x[1] = 0.799 y[1] (analytic) = 1.6433719252522728922762217249195 y[1] (numeric) = 1.6433719252522728922762217249194 absolute error = 1e-31 relative error = 6.0850497969076031818477629994829e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.338 Order of pole = 11.13 TOP MAIN SOLVE Loop x[1] = 0.8 y[1] (analytic) = 1.6441661431936526437382714330671 y[1] (numeric) = 1.644166143193652643738271433067 absolute error = 1e-31 relative error = 6.0821104007018731326570351663127e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.338 Order of pole = 11.14 TOP MAIN SOLVE Loop x[1] = 0.801 y[1] (analytic) = 1.6449599270400313224192245426495 y[1] (numeric) = 1.6449599270400313224192245426494 absolute error = 1e-31 relative error = 6.0791754471454930267321249104705e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.338 Order of pole = 11.14 TOP MAIN SOLVE Loop x[1] = 0.802 y[1] (analytic) = 1.6457532749978928397725719878381 y[1] (numeric) = 1.6457532749978928397725719878379 absolute error = 2e-31 relative error = 1.2152489868218920751237473791202e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.338 Order of pole = 11.14 TOP MAIN SOLVE Loop x[1] = 0.803 y[1] (analytic) = 1.6465461852731768097066767222529 y[1] (numeric) = 1.6465461852731768097066767222528 absolute error = 1e-31 relative error = 6.0733188594651598732044768694779e-30 % Correct digits = 31 h = 0.001 memory used=350.9MB, alloc=4.5MB, time=14.70 Complex estimate of poles used for equation 1 Radius of convergence = 4.338 Order of pole = 11.14 TOP MAIN SOLVE Loop x[1] = 0.804 y[1] (analytic) = 1.6473386560712854984684873206857 y[1] (numeric) = 1.6473386560712854984684873206855 absolute error = 2e-31 relative error = 1.2140794442168749433138149000866e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.338 Order of pole = 11.14 TOP MAIN SOLVE Loop x[1] = 0.805 y[1] (analytic) = 1.6481306855970907867760542745271 y[1] (numeric) = 1.6481306855970907867760542745269 absolute error = 2e-31 relative error = 1.2134960033678595800183693052800e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.338 Order of pole = 11.14 TOP MAIN SOLVE Loop x[1] = 0.806 y[1] (analytic) = 1.6489222720549411441645535917206 y[1] (numeric) = 1.6489222720549411441645535917204 absolute error = 2e-31 relative error = 1.2129134489205086965698601605658e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.338 Order of pole = 11.15 TOP MAIN SOLVE Loop x[1] = 0.807 y[1] (analytic) = 1.6497134136486686155103554487536 y[1] (numeric) = 1.6497134136486686155103554487534 absolute error = 2e-31 relative error = 1.2123317804494315658671698141683e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.338 Order of pole = 11.15 TOP MAIN SOLVE Loop x[1] = 0.808 y[1] (analytic) = 1.650504108581595819697508913019 y[1] (numeric) = 1.6505041085815958196975089130187 absolute error = 3e-31 relative error = 1.8176264962939892470621988766193e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.338 Order of pole = 11.15 TOP MAIN SOLVE Loop x[1] = 0.809 y[1] (analytic) = 1.6512943550565429603908471612897 y[1] (numeric) = 1.6512943550565429603908471612894 absolute error = 3e-31 relative error = 1.8167566496024721169241320539368e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.338 Order of pole = 11.15 TOP MAIN SOLVE Loop x[1] = 0.81 y[1] (analytic) = 1.6520841512758348488797511665177 y[1] (numeric) = 1.6520841512758348488797511665174 absolute error = 3e-31 relative error = 1.8158881299619190960263743246573e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.338 Order of pole = 11.15 TOP MAIN SOLVE Loop memory used=354.7MB, alloc=4.5MB, time=14.86 x[1] = 0.811 y[1] (analytic) = 1.6528734954413079389564435131573 y[1] (numeric) = 1.6528734954413079389564435131569 absolute error = 4e-31 relative error = 2.4200279156463952302224020975289e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.338 Order of pole = 11.16 TOP MAIN SOLVE Loop x[1] = 0.812 y[1] (analytic) = 1.6536623857543173737925178331987 y[1] (numeric) = 1.6536623857543173737925178331983 absolute error = 4e-31 relative error = 2.4188734257116223575350285551601e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.338 Order of pole = 11.16 TOP MAIN SOLVE Loop x[1] = 0.813 y[1] (analytic) = 1.6544508204157440447772433335499 y[1] (numeric) = 1.6544508204157440447772433335495 absolute error = 4e-31 relative error = 2.4177207026285900816003169141973e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.339 Order of pole = 11.16 TOP MAIN SOLVE Loop x[1] = 0.814 y[1] (analytic) = 1.6552387976260016622810180127924 y[1] (numeric) = 1.655238797626001662281018012792 absolute error = 4e-31 relative error = 2.4165697455478524058961068840330e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.339 Order of pole = 11.16 TOP MAIN SOLVE Loop x[1] = 0.815 y[1] (analytic) = 1.6560263155850438383071784441455 y[1] (numeric) = 1.6560263155850438383071784441452 absolute error = 3e-31 relative error = 1.8115654152151288828631950555638e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.339 Order of pole = 11.16 TOP MAIN SOLVE Loop x[1] = 0.816 y[1] (analytic) = 1.6568133724923711809952084341749 y[1] (numeric) = 1.6568133724923711809952084341745 absolute error = 4e-31 relative error = 2.4142731259965238195265470815430e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.339 Order of pole = 11.17 TOP MAIN SOLVE Loop x[1] = 0.817 y[1] (analytic) = 1.6575999665470384009382234558547 y[1] (numeric) = 1.6575999665470384009382234558544 absolute error = 3e-31 relative error = 1.8098455963710757936973083296663e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.339 Order of pole = 11.17 TOP MAIN SOLVE Loop x[1] = 0.818 y[1] (analytic) = 1.6583860959476614292774425025286 y[1] (numeric) = 1.6583860959476614292774425025283 absolute error = 3e-31 relative error = 1.8089876701997384746000569038000e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.339 Order of pole = 11.17 TOP MAIN SOLVE Loop memory used=358.5MB, alloc=4.5MB, time=15.02 x[1] = 0.819 y[1] (analytic) = 1.6591717588924245475361939185825 y[1] (numeric) = 1.6591717588924245475361939185821 absolute error = 4e-31 relative error = 2.4108414204628149993871564474328e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.339 Order of pole = 11.17 TOP MAIN SOLVE Loop x[1] = 0.82 y[1] (analytic) = 1.6599569535790875291558368357456 y[1] (numeric) = 1.6599569535790875291558368357452 absolute error = 4e-31 relative error = 2.4097010415694630231976221558250e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.339 Order of pole = 11.17 TOP MAIN SOLVE Loop x[1] = 0.821 y[1] (analytic) = 1.6607416782049927926958150833468 y[1] (numeric) = 1.6607416782049927926958150833464 absolute error = 4e-31 relative error = 2.4085624227383676599586511159618e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.339 Order of pole = 11.18 TOP MAIN SOLVE Loop x[1] = 0.822 y[1] (analytic) = 1.6615259309670725666598958490691 y[1] (numeric) = 1.6615259309670725666598958490687 absolute error = 4e-31 relative error = 2.4074255631218736271116061153824e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.339 Order of pole = 11.18 TOP MAIN SOLVE Loop x[1] = 0.823 y[1] (analytic) = 1.6623097100618560659104809462572 y[1] (numeric) = 1.6623097100618560659104809462568 absolute error = 4e-31 relative error = 2.4062904618725690645160514219296e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.339 Order of pole = 11.18 TOP MAIN SOLVE Loop x[1] = 0.824 y[1] (analytic) = 1.6630930136854766796327142971291 y[1] (numeric) = 1.6630930136854766796327142971287 absolute error = 4e-31 relative error = 2.4051571181432898513777531762453e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.339 Order of pole = 11.18 TOP MAIN SOLVE Loop x[1] = 0.825 y[1] (analytic) = 1.6638758400336791708099451708234 y[1] (numeric) = 1.663875840033679170809945170823 absolute error = 4e-31 relative error = 2.4040255310871239127476288131519e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.339 Order of pole = 11.19 TOP MAIN SOLVE Loop x[1] = 0.826 y[1] (analytic) = 1.6646581873018268871719428235688 y[1] (numeric) = 1.6646581873018268871719428235684 absolute error = 4e-31 relative error = 2.4028956998574155156053002127124e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.339 Order of pole = 11.19 TOP MAIN SOLVE Loop memory used=362.4MB, alloc=4.5MB, time=15.18 x[1] = 0.827 y[1] (analytic) = 1.6654400536849089835770944778957 y[1] (numeric) = 1.6654400536849089835770944778953 absolute error = 4e-31 relative error = 2.4017676236077695545409276467835e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.34 Order of pole = 11.19 TOP MAIN SOLVE Loop x[1] = 0.828 y[1] (analytic) = 1.6662214373775476557896550512148 y[1] (numeric) = 1.6662214373775476557896550512144 absolute error = 4e-31 relative error = 2.4006413014920558270490237315861e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.34 Order of pole = 11.19 TOP MAIN SOLVE Loop x[1] = 0.829 y[1] (analytic) = 1.6670023365740053856129537037683 y[1] (numeric) = 1.6670023365740053856129537037678 absolute error = 5e-31 relative error = 2.9993959158305166230599606522421e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.34 Order of pole = 11.2 TOP MAIN SOLVE Loop x[1] = 0.83 y[1] (analytic) = 1.6677827494681921973392991244159 y[1] (numeric) = 1.6677827494681921973392991244155 absolute error = 4e-31 relative error = 2.3983939162792543564389685874722e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.34 Order of pole = 11.2 TOP MAIN SOLVE Loop x[1] = 0.831 y[1] (analytic) = 1.6685626742536729254771625124572 y[1] (numeric) = 1.6685626742536729254771625124568 absolute error = 4e-31 relative error = 2.3972728514912690553182244024670e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.34 Order of pole = 11.2 TOP MAIN SOLVE Loop x[1] = 0.832 y[1] (analytic) = 1.6693421091236744937160544472093 y[1] (numeric) = 1.669342109123674493716054447209 absolute error = 3e-31 relative error = 1.7971151530915720123920687315963e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.34 Order of pole = 11.2 TOP MAIN SOLVE Loop x[1] = 0.833 y[1] (analytic) = 1.6701210522710932050893492668769 y[1] (numeric) = 1.6701210522710932050893492668766 absolute error = 3e-31 relative error = 1.7962769799952449891427822801090e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.34 Order of pole = 11.21 TOP MAIN SOLVE Loop x[1] = 0.834 y[1] (analytic) = 1.6708995018885020432951482068559 y[1] (numeric) = 1.6708995018885020432951482068556 absolute error = 3e-31 relative error = 1.7954401186961320338106937170072e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.34 Order of pole = 11.21 memory used=366.2MB, alloc=4.5MB, time=15.35 TOP MAIN SOLVE Loop x[1] = 0.835 y[1] (analytic) = 1.6716774561681579851351103775339 y[1] (numeric) = 1.6716774561681579851351103775337 absolute error = 2e-31 relative error = 1.1964030457074102424363450450667e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.34 Order of pole = 11.21 TOP MAIN SOLVE Loop x[1] = 0.836 y[1] (analytic) = 1.6724549133020093240310186953799 y[1] (numeric) = 1.6724549133020093240310186953796 absolute error = 3e-31 relative error = 1.7937703289573012456358561401324e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.34 Order of pole = 11.21 TOP MAIN SOLVE Loop x[1] = 0.837 y[1] (analytic) = 1.6732318714817030045786861211743 y[1] (numeric) = 1.6732318714817030045786861211741 absolute error = 2e-31 relative error = 1.1952915995013487554902883767990e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.341 Order of pole = 11.22 TOP MAIN SOLVE Loop x[1] = 0.838 y[1] (analytic) = 1.6740083288985919680986460081327 y[1] (numeric) = 1.6740083288985919680986460081324 absolute error = 3e-31 relative error = 1.7921057788128447955819303488125e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.341 Order of pole = 11.22 TOP MAIN SOLVE Loop x[1] = 0.839 y[1] (analytic) = 1.6747842837437425091429090229186 y[1] (numeric) = 1.6747842837437425091429090229183 absolute error = 3e-31 relative error = 1.7912754670075634389038857604355e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.341 Order of pole = 11.22 TOP MAIN SOLVE Loop x[1] = 0.84 y[1] (analytic) = 1.6755597342079416429169079766623 y[1] (numeric) = 1.6755597342079416429169079766621 absolute error = 2e-31 relative error = 1.1936309754694752135433960247092e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.341 Order of pole = 11.22 TOP MAIN SOLVE Loop x[1] = 0.841 y[1] (analytic) = 1.6763346784817044835755909935918 y[1] (numeric) = 1.6763346784817044835755909935915 absolute error = 3e-31 relative error = 1.7896187667710663539440048847444e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.341 Order of pole = 11.23 TOP MAIN SOLVE Loop memory used=370.0MB, alloc=4.5MB, time=15.51 x[1] = 0.842 y[1] (analytic) = 1.6771091147552816333524627542738 y[1] (numeric) = 1.6771091147552816333524627542735 absolute error = 3e-31 relative error = 1.7887923770766402094175971000234e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.341 Order of pole = 11.23 TOP MAIN SOLVE Loop x[1] = 0.843 y[1] (analytic) = 1.677883041218666582480213081268 y[1] (numeric) = 1.6778830412186665824802130812677 absolute error = 3e-31 relative error = 1.7879672934896964027102363162800e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.341 Order of pole = 11.23 TOP MAIN SOLVE Loop x[1] = 0.844 y[1] (analytic) = 1.6786564560616031198614118897255 y[1] (numeric) = 1.6786564560616031198614118897252 absolute error = 3e-31 relative error = 1.7871435153792458793680339041150e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.341 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.845 y[1] (analytic) = 1.6794293574735927544475895066471 y[1] (numeric) = 1.6794293574735927544475895066467 absolute error = 4e-31 relative error = 2.3817613894860687868256518951292e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.342 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.846 y[1] (analytic) = 1.6802017436439021472848615726619 y[1] (numeric) = 1.6802017436439021472848615726615 absolute error = 4e-31 relative error = 2.3806664974201754118416116229204e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.342 Order of pole = 11.24 TOP MAIN SOLVE Loop x[1] = 0.847 y[1] (analytic) = 1.6809736127615705541840981818238 y[1] (numeric) = 1.6809736127615705541840981818235 absolute error = 3e-31 relative error = 1.7846800076007619431745173472586e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.342 Order of pole = 11.25 TOP MAIN SOLVE Loop x[1] = 0.848 y[1] (analytic) = 1.6817449630154172789734775905611 y[1] (numeric) = 1.6817449630154172789734775905608 absolute error = 3e-31 relative error = 1.7838614450914800869547743516003e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.342 Order of pole = 11.25 TOP MAIN SOLVE Loop x[1] = 0.849 y[1] (analytic) = 1.6825157925940491372911057390854 y[1] (numeric) = 1.6825157925940491372911057390851 absolute error = 3e-31 relative error = 1.7830441849075875658727396874691e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.342 Order of pole = 11.25 TOP MAIN SOLVE Loop memory used=373.8MB, alloc=4.5MB, time=15.66 x[1] = 0.85 y[1] (analytic) = 1.6832860996858679308752239797849 y[1] (numeric) = 1.6832860996858679308752239797847 absolute error = 2e-31 relative error = 1.1881521509464354833155557949145e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.342 Order of pole = 11.25 TOP MAIN SOLVE Loop x[1] = 0.851 y[1] (analytic) = 1.6840558824790779323093687999146 y[1] (numeric) = 1.6840558824790779323093687999143 absolute error = 3e-31 relative error = 1.7814135689985162088441538815906e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.342 Order of pole = 11.26 TOP MAIN SOLVE Loop x[1] = 0.852 y[1] (analytic) = 1.6848251391616933801796889627784 y[1] (numeric) = 1.6848251391616933801796889627781 absolute error = 3e-31 relative error = 1.7806002120152889842241231582454e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.343 Order of pole = 11.26 TOP MAIN SOLVE Loop x[1] = 0.853 y[1] (analytic) = 1.6855938679215459846014673751014 y[1] (numeric) = 1.6855938679215459846014673751011 absolute error = 3e-31 relative error = 1.7797881548413603550829066334919e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.343 Order of pole = 11.26 TOP MAIN SOLVE Loop x[1] = 0.854 y[1] (analytic) = 1.686362066946292443071737120924 y[1] (numeric) = 1.6863620669462924430717371209238 absolute error = 2e-31 relative error = 1.1859849312322656467878311467250e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.343 Order of pole = 11.27 TOP MAIN SOLVE Loop x[1] = 0.855 y[1] (analytic) = 1.6871297344234219666047234866567 y[1] (numeric) = 1.6871297344234219666047234866564 absolute error = 3e-31 relative error = 1.7781679374083538231263784747080e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.343 Order of pole = 11.27 TOP MAIN SOLVE Loop x[1] = 0.856 y[1] (analytic) = 1.6878968685402638161066864404196 y[1] (numeric) = 1.6878968685402638161066864404193 absolute error = 3e-31 relative error = 1.7773597758934622449226993235176e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.343 Order of pole = 11.27 TOP MAIN SOLVE Loop x[1] = 0.857 y[1] (analytic) = 1.688663467483994848946580923996 y[1] (numeric) = 1.6886634674839948489465809239956 absolute error = 4e-31 relative error = 2.3687372155683305187278390826691e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.343 Order of pole = 11.28 TOP MAIN SOLVE Loop memory used=377.6MB, alloc=4.5MB, time=15.82 x[1] = 0.858 y[1] (analytic) = 1.689429529441647075678795470159 y[1] (numeric) = 1.6894295294416470756787954701587 absolute error = 3e-31 relative error = 1.7757473441295262090336098744149e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.344 Order of pole = 11.28 TOP MAIN SOLVE Loop x[1] = 0.859 y[1] (analytic) = 1.6901950526001152268740730743335 y[1] (numeric) = 1.6901950526001152268740730743331 absolute error = 4e-31 relative error = 2.3665907635018759048189344277008e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.344 Order of pole = 11.28 TOP MAIN SOLVE Loop x[1] = 0.86 y[1] (analytic) = 1.6909600351461643300145619300281 y[1] (numeric) = 1.6909600351461643300145619300278 absolute error = 3e-31 relative error = 1.7741400965402970043802467906392e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.344 Order of pole = 11.28 TOP MAIN SOLVE Loop x[1] = 0.861 y[1] (analytic) = 1.6917244752664372964087875847698 y[1] (numeric) = 1.6917244752664372964087875847694 absolute error = 4e-31 relative error = 2.3644512203265381080247944310161e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.344 Order of pole = 11.29 TOP MAIN SOLVE Loop x[1] = 0.862 y[1] (analytic) = 1.6924883711474625180821822898885 y[1] (numeric) = 1.6924883711474625180821822898882 absolute error = 3e-31 relative error = 1.7725380281142369391073639437406e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.344 Order of pole = 11.29 TOP MAIN SOLVE Loop x[1] = 0.863 y[1] (analytic) = 1.6932517209756614745986518059886 y[1] (numeric) = 1.6932517209756614745986518059883 absolute error = 3e-31 relative error = 1.7717389345226134354907507646321e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.344 Order of pole = 11.29 TOP MAIN SOLVE Loop x[1] = 0.864 y[1] (analytic) = 1.6940145229373563497685046888021 y[1] (numeric) = 1.6940145229373563497685046888018 absolute error = 3e-31 relative error = 1.7709411338446584362424220529201e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.344 Order of pole = 11.3 TOP MAIN SOLVE Loop x[1] = 0.865 y[1] (analytic) = 1.6947767752187776581979141198951 y[1] (numeric) = 1.6947767752187776581979141198948 absolute error = 3e-31 relative error = 1.7701446254553092422282360133744e-29 % Correct digits = 30 h = 0.001 memory used=381.4MB, alloc=4.5MB, time=15.99 Complex estimate of poles used for equation 1 Radius of convergence = 4.345 Order of pole = 11.3 TOP MAIN SOLVE Loop x[1] = 0.866 y[1] (analytic) = 1.6955384760060718816349276658996 y[1] (numeric) = 1.6955384760060718816349276658993 absolute error = 3e-31 relative error = 1.7693494087298180072791006918220e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.345 Order of pole = 11.3 TOP MAIN SOLVE Loop x[1] = 0.867 y[1] (analytic) = 1.6962996234853091150668859511035 y[1] (numeric) = 1.6962996234853091150668859511032 absolute error = 3e-31 relative error = 1.7685554830437546489847604060108e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.345 Order of pole = 11.31 TOP MAIN SOLVE Loop x[1] = 0.868 y[1] (analytic) = 1.6970602158424907225239571138696 y[1] (numeric) = 1.6970602158424907225239571138694 absolute error = 2e-31 relative error = 1.1785085651820065014128796453652e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.345 Order of pole = 11.31 TOP MAIN SOLVE Loop x[1] = 0.869 y[1] (analytic) = 1.6978202512635570025433400899964 y[1] (numeric) = 1.6978202512635570025433400899962 absolute error = 2e-31 relative error = 1.1779810015291983098062144475028e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.345 Order of pole = 11.31 TOP MAIN SOLVE Loop x[1] = 0.87 y[1] (analytic) = 1.6985797279343948632485362282999 y[1] (numeric) = 1.6985797279343948632485362282997 absolute error = 2e-31 relative error = 1.1774542973217722578368093840846e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.346 Order of pole = 11.32 TOP MAIN SOLVE Loop x[1] = 0.871 y[1] (analytic) = 1.6993386440408455069979354979152 y[1] (numeric) = 1.699338644040845506997935497915 absolute error = 2e-31 relative error = 1.1769284521443083010780223635762e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.346 Order of pole = 11.32 TOP MAIN SOLVE Loop x[1] = 0.872 y[1] (analytic) = 1.7000969977687121245568105956007 y[1] (numeric) = 1.7000969977687121245568105956005 absolute error = 2e-31 relative error = 1.1764034655816078667167761646860e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.346 Order of pole = 11.32 TOP MAIN SOLVE Loop memory used=385.2MB, alloc=4.5MB, time=16.15 x[1] = 0.873 y[1] (analytic) = 1.7008547873037675987466596072114 y[1] (numeric) = 1.7008547873037675987466596072112 absolute error = 2e-31 relative error = 1.1758793372186957647180159788698e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.346 Order of pole = 11.33 TOP MAIN SOLVE Loop x[1] = 0.874 y[1] (analytic) = 1.7016120108317622175256855230015 y[1] (numeric) = 1.7016120108317622175256855230012 absolute error = 3e-31 relative error = 1.7630340999612331411805465603937e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.346 Order of pole = 11.33 TOP MAIN SOLVE Loop x[1] = 0.875 y[1] (analytic) = 1.7023686665384313964540488540465 y[1] (numeric) = 1.7023686665384313964540488540462 absolute error = 3e-31 relative error = 1.7622504801501962167053371683184e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.346 Order of pole = 11.33 TOP MAIN SOLVE Loop x[1] = 0.876 y[1] (analytic) = 1.7031247526095034104973778493618 y[1] (numeric) = 1.7031247526095034104973778493615 absolute error = 3e-31 relative error = 1.7614681457734924386023860881557e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.347 Order of pole = 11.34 TOP MAIN SOLVE Loop x[1] = 0.877 y[1] (analytic) = 1.7038802672307071351218693727525 y[1] (numeric) = 1.7038802672307071351218693727522 absolute error = 3e-31 relative error = 1.7606870962100278400532361389936e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.347 Order of pole = 11.34 TOP MAIN SOLVE Loop x[1] = 0.878 y[1] (analytic) = 1.7046352085877797966341623675831 y[1] (numeric) = 1.7046352085877797966341623675828 absolute error = 3e-31 relative error = 1.7599073308390577528095073380472e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.347 Order of pole = 11.34 TOP MAIN SOLVE Loop x[1] = 0.879 y[1] (analytic) = 1.7053895748664747317190150190211 y[1] (numeric) = 1.7053895748664747317190150190208 absolute error = 3e-31 relative error = 1.7591288490401896302836914253692e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.347 Order of pole = 11.35 TOP MAIN SOLVE Loop x[1] = 0.88 y[1] (analytic) = 1.7061433642525691561276662193987 y[1] (numeric) = 1.7061433642525691561276662193985 absolute error = 2e-31 relative error = 1.1722344334622572422680915998899e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.347 Order of pole = 11.35 TOP MAIN SOLVE Loop memory used=389.1MB, alloc=4.5MB, time=16.31 x[1] = 0.881 y[1] (analytic) = 1.7068965749318719424696117556767 y[1] (numeric) = 1.7068965749318719424696117556765 absolute error = 2e-31 relative error = 1.1717171557859777261541051340085e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.347 Order of pole = 11.35 TOP MAIN SOLVE Loop x[1] = 0.882 y[1] (analytic) = 1.7076492050902314070603757710883 y[1] (numeric) = 1.7076492050902314070603757710881 absolute error = 2e-31 relative error = 1.1712007325850749949247953350456e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.348 Order of pole = 11.36 TOP MAIN SOLVE Loop x[1] = 0.883 y[1] (analytic) = 1.7084012529135431057777085084159 y[1] (numeric) = 1.7084012529135431057777085084157 absolute error = 2e-31 relative error = 1.1706851634469117328279878482801e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.348 Order of pole = 11.36 TOP MAIN SOLVE Loop x[1] = 0.884 y[1] (analytic) = 1.7091527165877576388784921225101 y[1] (numeric) = 1.7091527165877576388784921225099 absolute error = 2e-31 relative error = 1.1701704479590947099557925355875e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.348 Order of pole = 11.36 TOP MAIN SOLVE Loop x[1] = 0.885 y[1] (analytic) = 1.70990359429888846472848745712 y[1] (numeric) = 1.7099035942988884647284874571198 absolute error = 2e-31 relative error = 1.1696565857094766354633032172896e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.348 Order of pole = 11.37 TOP MAIN SOLVE Loop x[1] = 0.886 y[1] (analytic) = 1.7106538842330197223969061183758 y[1] (numeric) = 1.7106538842330197223969061183756 absolute error = 2e-31 relative error = 1.1691435762861580060058913883159e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.348 Order of pole = 11.37 TOP MAIN SOLVE Loop x[1] = 0.887 y[1] (analytic) = 1.7114035845763140630676439468552 y[1] (numeric) = 1.7114035845763140630676439468549 absolute error = 3e-31 relative error = 1.7529471289162334241036183702827e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.349 Order of pole = 11.37 TOP MAIN SOLVE Loop x[1] = 0.888 y[1] (analytic) = 1.7121526935150204902188640945882 y[1] (numeric) = 1.7121526935150204902188640945879 absolute error = 3e-31 relative error = 1.7521801714081065952974695490825e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.349 Order of pole = 11.38 memory used=392.9MB, alloc=4.5MB, time=16.47 TOP MAIN SOLVE Loop x[1] = 0.889 y[1] (analytic) = 1.7129012092354822085224703551169 y[1] (numeric) = 1.7129012092354822085224703551166 absolute error = 3e-31 relative error = 1.7514144912881388757039578586218e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.349 Order of pole = 11.38 TOP MAIN SOLVE Loop x[1] = 0.89 y[1] (analytic) = 1.7136491299241444814148641763289 y[1] (numeric) = 1.7136491299241444814148641763286 absolute error = 3e-31 relative error = 1.7506500879399953188094006029067e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.349 Order of pole = 11.38 TOP MAIN SOLVE Loop x[1] = 0.891 y[1] (analytic) = 1.7143964537675624972902319097416 y[1] (numeric) = 1.7143964537675624972902319097413 absolute error = 3e-31 relative error = 1.7498869607477264154330708306987e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.349 Order of pole = 11.39 TOP MAIN SOLVE Loop x[1] = 0.892 y[1] (analytic) = 1.7151431789524092442674623187196 y[1] (numeric) = 1.7151431789524092442674623187193 absolute error = 3e-31 relative error = 1.7491251090957708235812685772793e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.349 Order of pole = 11.39 TOP MAIN SOLVE Loop x[1] = 0.893 y[1] (analytic) = 1.7158893036654833934816481842737 y[1] (numeric) = 1.7158893036654833934816481842734 absolute error = 3e-31 relative error = 1.7483645323689580912062780305853e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.35 Order of pole = 11.39 TOP MAIN SOLVE Loop x[1] = 0.894 y[1] (analytic) = 1.7166348260937171908509800131079 y[1] (numeric) = 1.7166348260937171908509800131076 absolute error = 3e-31 relative error = 1.7476052299525113718812376461083e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.35 Order of pole = 11.4 TOP MAIN SOLVE Loop x[1] = 0.895 y[1] (analytic) = 1.7173797444241843572696943709588 y[1] (numeric) = 1.7173797444241843572696943709585 absolute error = 3e-31 relative error = 1.7468472012320501334019567598171e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.35 Order of pole = 11.4 TOP MAIN SOLVE Loop memory used=396.7MB, alloc=4.5MB, time=16.63 x[1] = 0.896 y[1] (analytic) = 1.7181240568441079971775942374994 y[1] (numeric) = 1.7181240568441079971775942374992 absolute error = 2e-31 relative error = 1.1640602970623952395511457581617e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.35 Order of pole = 11.4 TOP MAIN SOLVE Loop x[1] = 0.897 y[1] (analytic) = 1.7188677615408685154565140096594 y[1] (numeric) = 1.7188677615408685154565140096592 absolute error = 2e-31 relative error = 1.1635566416157064956434107667784e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.35 Order of pole = 11.4 TOP MAIN SOLVE Loop x[1] = 0.898 y[1] (analytic) = 1.719610856702011542603957370635 y[1] (numeric) = 1.7196108567020115426039573706348 absolute error = 2e-31 relative error = 1.1630538340725169182179815936724e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.35 Order of pole = 11.41 TOP MAIN SOLVE Loop x[1] = 0.899 y[1] (analytic) = 1.7203533405152558681339921946238 y[1] (numeric) = 1.7203533405152558681339921946236 absolute error = 2e-31 relative error = 1.1625518740243142870282696762561e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.351 Order of pole = 11.41 TOP MAIN SOLVE Loop x[1] = 0.9 y[1] (analytic) = 1.7210952111685013821553429749029 y[1] (numeric) = 1.7210952111685013821553429749027 absolute error = 2e-31 relative error = 1.1620507610628595495093966389661e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.351 Order of pole = 11.41 TOP MAIN SOLVE Loop x[1] = 0.901 y[1] (analytic) = 1.7218364668498370250764779477767 y[1] (numeric) = 1.7218364668498370250764779477766 absolute error = 1e-31 relative error = 5.8077524739009429918761329525068e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.351 Order of pole = 11.42 TOP MAIN SOLVE Loop x[1] = 0.902 y[1] (analytic) = 1.7225771057475487453873451396253 y[1] (numeric) = 1.7225771057475487453873451396252 absolute error = 1e-31 relative error = 5.8052553738430702227581676668624e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.351 Order of pole = 11.42 TOP MAIN SOLVE Loop x[1] = 0.903 y[1] (analytic) = 1.7233171260501274654672689912828 y[1] (numeric) = 1.7233171260501274654672689912827 absolute error = 1e-31 relative error = 5.8027625031036349272669557206801e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.351 Order of pole = 11.42 TOP MAIN SOLVE Loop memory used=400.5MB, alloc=4.5MB, time=16.80 x[1] = 0.904 y[1] (analytic) = 1.7240565259462770553683770157454 y[1] (numeric) = 1.7240565259462770553683770157453 absolute error = 1e-31 relative error = 5.8002738596469938430603786332718e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.351 Order of pole = 11.43 TOP MAIN SOLVE Loop x[1] = 0.905 y[1] (analytic) = 1.7247953036249223145237841242335 y[1] (numeric) = 1.7247953036249223145237841242334 absolute error = 1e-31 relative error = 5.7977894414389137533118829826496e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.352 Order of pole = 11.43 TOP MAIN SOLVE Loop x[1] = 0.906 y[1] (analytic) = 1.7255334572752169613296208143886 y[1] (numeric) = 1.7255334572752169613296208143885 absolute error = 1e-31 relative error = 5.7953092464465802584710576139084e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.352 Order of pole = 11.43 TOP MAIN SOLVE Loop x[1] = 0.907 y[1] (analytic) = 1.7262709850865516305498503553572 y[1] (numeric) = 1.7262709850865516305498503553571 absolute error = 1e-31 relative error = 5.7928332726386065248902406656952e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.352 Order of pole = 11.44 TOP MAIN SOLVE Loop x[1] = 0.908 y[1] (analytic) = 1.7270078852485618784926794301674 y[1] (numeric) = 1.7270078852485618784926794301673 absolute error = 1e-31 relative error = 5.7903615179850420103541769115046e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.352 Order of pole = 11.44 TOP MAIN SOLVE Loop x[1] = 0.909 y[1] (analytic) = 1.727744155951136195907226408619 y[1] (numeric) = 1.7277441559511361959072264086188 absolute error = 2e-31 relative error = 1.1575787960914762333099522884192e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.352 Order of pole = 11.44 TOP MAIN SOLVE Loop x[1] = 0.91 y[1] (analytic) = 1.7284797953844240285489715263509 y[1] (numeric) = 1.7284797953844240285489715263507 absolute error = 2e-31 relative error = 1.1570861316057144237025841621918e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.352 Order of pole = 11.45 TOP MAIN SOLVE Loop x[1] = 0.911 y[1] (analytic) = 1.7292148017388438053623737402942 y[1] (numeric) = 1.729214801738843805362373740294 absolute error = 2e-31 relative error = 1.1565943097346050642179394855639e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.353 Order of pole = 11.45 TOP MAIN SOLVE Loop memory used=404.3MB, alloc=4.5MB, time=16.96 x[1] = 0.912 y[1] (analytic) = 1.7299491732050909742288999198218 y[1] (numeric) = 1.7299491732050909742288999198216 absolute error = 2e-31 relative error = 1.1561033300733244384897234434139e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.353 Order of pole = 11.45 TOP MAIN SOLVE Loop x[1] = 0.913 y[1] (analytic) = 1.7306829079741460452285733190444 y[1] (numeric) = 1.7306829079741460452285733190442 absolute error = 2e-31 relative error = 1.1556131922173447449362868720134e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.353 Order of pole = 11.45 TOP MAIN SOLVE Loop x[1] = 0.914 y[1] (analytic) = 1.7314160042372826413630099613222 y[1] (numeric) = 1.7314160042372826413630099613219 absolute error = 3e-31 relative error = 1.7326858436436537214588080941628e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.353 Order of pole = 11.46 TOP MAIN SOLVE Loop x[1] = 0.915 y[1] (analytic) = 1.7321484601860755566877736546359 y[1] (numeric) = 1.7321484601860755566877736546356 absolute error = 3e-31 relative error = 1.7319531604570002339815691736631e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.353 Order of pole = 11.46 TOP MAIN SOLVE Loop x[1] = 0.916 y[1] (analytic) = 1.7328802740124088218017428484352 y[1] (numeric) = 1.7328802740124088218017428484349 absolute error = 3e-31 relative error = 1.7312217381606119996446225625511e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.353 Order of pole = 11.46 TOP MAIN SOLVE Loop x[1] = 0.917 y[1] (analytic) = 1.7336114439084837766410454414162 y[1] (numeric) = 1.7336114439084837766410454414159 absolute error = 3e-31 relative error = 1.7304915761494984995055713452412e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.354 Order of pole = 11.47 TOP MAIN SOLVE Loop x[1] = 0.918 y[1] (analytic) = 1.7343419680668271505249809578218 y[1] (numeric) = 1.7343419680668271505249809578215 absolute error = 3e-31 relative error = 1.7297626738191258999875598555006e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.354 Order of pole = 11.47 TOP MAIN SOLVE Loop x[1] = 0.919 y[1] (analytic) = 1.7350718446802991494012132297589 y[1] (numeric) = 1.7350718446802991494012132297587 absolute error = 2e-31 relative error = 1.1526900203769463967016550936083e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.354 Order of pole = 11.47 memory used=408.1MB, alloc=4.5MB, time=17.12 TOP MAIN SOLVE Loop x[1] = 0.92 y[1] (analytic) = 1.7358010719421015502373808571287 y[1] (numeric) = 1.7358010719421015502373808571285 absolute error = 2e-31 relative error = 1.1522057638565111610524725075292e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.354 Order of pole = 11.47 TOP MAIN SOLVE Loop x[1] = 0.921 y[1] (analytic) = 1.7365296480457858025061372675125 y[1] (numeric) = 1.7365296480457858025061372675123 absolute error = 2e-31 relative error = 1.1517223459160125253029854062082e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.354 Order of pole = 11.48 TOP MAIN SOLVE Loop x[1] = 0.922 y[1] (analytic) = 1.7372575711852611367104971681918 y[1] (numeric) = 1.7372575711852611367104971681916 absolute error = 2e-31 relative error = 1.1512397661536626639320862747054e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.354 Order of pole = 11.48 TOP MAIN SOLVE Loop x[1] = 0.923 y[1] (analytic) = 1.7379848395548026798962315738354 y[1] (numeric) = 1.7379848395548026798962315738352 absolute error = 2e-31 relative error = 1.1507580241679866370108816539834e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.354 Order of pole = 11.48 TOP MAIN SOLVE Loop x[1] = 0.924 y[1] (analytic) = 1.7387114513490595780979194087005 y[1] (numeric) = 1.7387114513490595780979194087002 absolute error = 3e-31 relative error = 1.7254156793367360936114199987422e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.354 Order of pole = 11.49 TOP MAIN SOLVE Loop x[1] = 0.925 y[1] (analytic) = 1.7394374047630631256651299238955 y[1] (numeric) = 1.7394374047630631256651299238952 absolute error = 3e-31 relative error = 1.7246955778834961752491967708246e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.355 Order of pole = 11.49 TOP MAIN SOLVE Loop x[1] = 0.926 y[1] (analytic) = 1.740162697992234901415076840772 y[1] (numeric) = 1.7401626979922349014150768407717 absolute error = 3e-31 relative error = 1.7239767312914707985980468668900e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.355 Order of pole = 11.49 TOP MAIN SOLVE Loop memory used=412.0MB, alloc=4.5MB, time=17.28 x[1] = 0.927 y[1] (analytic) = 1.7408873292323949115579522332692 y[1] (numeric) = 1.7408873292323949115579522332689 absolute error = 3e-31 relative error = 1.7232591389603498830508614560173e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.355 Order of pole = 11.49 TOP MAIN SOLVE Loop x[1] = 0.928 y[1] (analytic) = 1.7416112966797697393410156974613 y[1] (numeric) = 1.741611296679769739341015697461 absolute error = 3e-31 relative error = 1.7225428002903051506407523949998e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.355 Order of pole = 11.5 TOP MAIN SOLVE Loop x[1] = 0.929 y[1] (analytic) = 1.7423345985310007013573823280606 y[1] (numeric) = 1.7423345985310007013573823280603 absolute error = 3e-31 relative error = 1.7218277146819926007617987619886e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.355 Order of pole = 11.5 TOP MAIN SOLVE Loop x[1] = 0.93 y[1] (analytic) = 1.7430572329831520104653214316338 y[1] (numeric) = 1.7430572329831520104653214316335 absolute error = 3e-31 relative error = 1.7211138815365549782059955386134e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.355 Order of pole = 11.5 TOP MAIN SOLVE Loop x[1] = 0.931 y[1] (analytic) = 1.7437791982337189452637467572033 y[1] (numeric) = 1.743779198233718945263746757203 absolute error = 3e-31 relative error = 1.7204013002556242345275855329701e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.355 Order of pole = 11.5 TOP MAIN SOLVE Loop x[1] = 0.932 y[1] (analytic) = 1.7445004924806360260694483191386 y[1] (numeric) = 1.7445004924806360260694483191383 absolute error = 3e-31 relative error = 1.7196899702413239827459574038812e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.355 Order of pole = 11.51 TOP MAIN SOLVE Loop x[1] = 0.933 y[1] (analytic) = 1.7452211139222851973414856272011 y[1] (numeric) = 1.7452211139222851973414856272008 absolute error = 3e-31 relative error = 1.7189798908962719453982942940044e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.356 Order of pole = 11.51 TOP MAIN SOLVE Loop x[1] = 0.934 y[1] (analytic) = 1.7459410607575040164980323266929 y[1] (numeric) = 1.7459410607575040164980323266926 absolute error = 3e-31 relative error = 1.7182710616235823959531591060978e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.356 Order of pole = 11.51 TOP MAIN SOLVE Loop memory used=415.8MB, alloc=4.5MB, time=17.45 x[1] = 0.935 y[1] (analytic) = 1.7466603311855938490708328902725 y[1] (numeric) = 1.7466603311855938490708328902721 absolute error = 4e-31 relative error = 2.2900846424358247914616051512483e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.356 Order of pole = 11.51 TOP MAIN SOLVE Loop x[1] = 0.936 y[1] (analytic) = 1.747378923406328070142303094534 y[1] (numeric) = 1.7473789234063280701423030945336 absolute error = 4e-31 relative error = 2.2891428678803269485322558432302e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.356 Order of pole = 11.52 TOP MAIN SOLVE Loop x[1] = 0.937 y[1] (analytic) = 1.7480968356199602720101775612965 y[1] (numeric) = 1.7480968356199602720101775612962 absolute error = 3e-31 relative error = 1.7161520682783307578835226532331e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.356 Order of pole = 11.52 TOP MAIN SOLVE Loop x[1] = 0.938 y[1] (analytic) = 1.7488140660272324780244796480966 y[1] (numeric) = 1.7488140660272324780244796480962 absolute error = 4e-31 relative error = 2.2872643111149999893192671643807e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.356 Order of pole = 11.52 TOP MAIN SOLVE Loop x[1] = 0.939 y[1] (analytic) = 1.7495306128293833625414614370145 y[1] (numeric) = 1.7495306128293833625414614370141 absolute error = 4e-31 relative error = 2.2863275273195151086162506784293e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.356 Order of pole = 11.52 TOP MAIN SOLVE Loop x[1] = 0.94 y[1] (analytic) = 1.7502464742281564769390344980675 y[1] (numeric) = 1.7502464742281564769390344980671 absolute error = 4e-31 relative error = 2.2853924055261790062214527631065e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.356 Order of pole = 11.53 TOP MAIN SOLVE Loop x[1] = 0.941 y[1] (analytic) = 1.7509616484258084816380854953482 y[1] (numeric) = 1.7509616484258084816380854953478 absolute error = 4e-31 relative error = 2.2844589449438689277841386644181e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.356 Order of pole = 11.53 TOP MAIN SOLVE Loop x[1] = 0.942 y[1] (analytic) = 1.7516761336251173840739445632509 y[1] (numeric) = 1.7516761336251173840739445632505 absolute error = 4e-31 relative error = 2.2835271447821499117222594365827e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.356 Order of pole = 11.53 TOP MAIN SOLVE Loop memory used=419.6MB, alloc=4.5MB, time=17.61 x[1] = 0.943 y[1] (analytic) = 1.7523899280293907825621487088784 y[1] (numeric) = 1.752389928029390782562148708878 absolute error = 4e-31 relative error = 2.2825970042512779654432244929376e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.357 Order of pole = 11.53 TOP MAIN SOLVE Loop x[1] = 0.944 y[1] (analytic) = 1.7531030298424741160025172974235 y[1] (numeric) = 1.7531030298424741160025172974231 absolute error = 4e-31 relative error = 2.2816685225622032328618138153301e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.357 Order of pole = 11.53 TOP MAIN SOLVE Loop x[1] = 0.945 y[1] (analytic) = 1.7538154372687589193654319523365 y[1] (numeric) = 1.753815437268758919365431952336 absolute error = 5e-31 relative error = 2.8509271236582164415376955990021e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.357 Order of pole = 11.54 TOP MAIN SOLVE Loop x[1] = 0.946 y[1] (analytic) = 1.7545271485131910849040889537737 y[1] (numeric) = 1.7545271485131910849040889537732 absolute error = 5e-31 relative error = 2.8497706656959195141183778767776e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.357 Order of pole = 11.54 TOP MAIN SOLVE Loop x[1] = 0.947 y[1] (analytic) = 1.7552381617812791290363684495378 y[1] (numeric) = 1.7552381617812791290363684495373 absolute error = 5e-31 relative error = 2.8486162783321775984938917675482e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.357 Order of pole = 11.54 TOP MAIN SOLVE Loop x[1] = 0.948 y[1] (analytic) = 1.7559484752791024648398415048006 y[1] (numeric) = 1.7559484752791024648398415048001 absolute error = 5e-31 relative error = 2.8474639605841884341500030125120e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.357 Order of pole = 11.54 TOP MAIN SOLVE Loop x[1] = 0.949 y[1] (analytic) = 1.7566580872133196801033132127082 y[1] (numeric) = 1.7566580872133196801033132127077 absolute error = 5e-31 relative error = 2.8463137114700370656680542464928e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.357 Order of pole = 11.55 TOP MAIN SOLVE Loop memory used=423.4MB, alloc=4.5MB, time=17.77 x[1] = 0.95 y[1] (analytic) = 1.7573669957911768208781777698294 y[1] (numeric) = 1.7573669957911768208781777698289 absolute error = 5e-31 relative error = 2.8451655300086997372427272936322e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.357 Order of pole = 11.55 TOP MAIN SOLVE Loop x[1] = 0.951 y[1] (analytic) = 1.7580751992205156804727395906719 y[1] (numeric) = 1.7580751992205156804727395906714 absolute error = 5e-31 relative error = 2.8440194152200477764518355171502e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.357 Order of pole = 11.55 TOP MAIN SOLVE Loop x[1] = 0.952 y[1] (analytic) = 1.7587826957097820938325331964807 y[1] (numeric) = 1.7587826957097820938325331964802 absolute error = 5e-31 relative error = 2.8428753661248514672968018430906e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.357 Order of pole = 11.55 TOP MAIN SOLVE Loop x[1] = 0.953 y[1] (analytic) = 1.7594894834680342372495537675831 y[1] (numeric) = 1.7594894834680342372495537675825 absolute error = 6e-31 relative error = 3.4100800580937406950389723205093e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.357 Order of pole = 11.55 TOP MAIN SOLVE Loop x[1] = 0.954 y[1] (analytic) = 1.7601955607049509333431898979727 y[1] (numeric) = 1.7601955607049509333431898979722 absolute error = 5e-31 relative error = 2.8405934611024248853049506547126e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.357 Order of pole = 11.55 TOP MAIN SOLVE Loop x[1] = 0.955 y[1] (analytic) = 1.760900925630839961255530237959 y[1] (numeric) = 1.7609009256308399612555302379585 absolute error = 5e-31 relative error = 2.8394556032212646701160084603671e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.357 Order of pole = 11.56 TOP MAIN SOLVE Loop x[1] = 0.956 y[1] (analytic) = 1.7616055764566463720035963578513 y[1] (numeric) = 1.7616055764566463720035963578508 absolute error = 5e-31 relative error = 2.8383198071257078931328826180704e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.357 Order of pole = 11.56 TOP MAIN SOLVE Loop x[1] = 0.957 y[1] (analytic) = 1.7623095113939608089309353151224 y[1] (numeric) = 1.7623095113939608089309353151219 absolute error = 5e-31 relative error = 2.8371860718410773418619462997152e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.357 Order of pole = 11.56 TOP MAIN SOLVE Loop memory used=427.2MB, alloc=4.5MB, time=17.93 x[1] = 0.958 y[1] (analytic) = 1.7630127286550278332008870615986 y[1] (numeric) = 1.7630127286550278332008870615981 absolute error = 5e-31 relative error = 2.8360543963936177742049964939941e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.358 Order of pole = 11.56 TOP MAIN SOLVE Loop x[1] = 0.959 y[1] (analytic) = 1.7637152264527542542737239882601 y[1] (numeric) = 1.7637152264527542542737239882596 absolute error = 5e-31 relative error = 2.8349247798104997169167694321152e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.358 Order of pole = 11.56 TOP MAIN SOLVE Loop x[1] = 0.96 y[1] (analytic) = 1.764417003000717465309742575502 y[1] (numeric) = 1.7644170030007174653097425755015 absolute error = 5e-31 relative error = 2.8337972211198232534823297756950e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.358 Order of pole = 11.56 TOP MAIN SOLVE Loop x[1] = 0.961 y[1] (analytic) = 1.7651180565131737834402702984911 y[1] (numeric) = 1.7651180565131737834402702984906 absolute error = 5e-31 relative error = 2.8326717193506218014329721883206e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.358 Order of pole = 11.57 TOP MAIN SOLVE Loop x[1] = 0.962 y[1] (analytic) = 1.7658183852050667948484346328499 y[1] (numeric) = 1.7658183852050667948484346328494 absolute error = 5e-31 relative error = 2.8315482735328658791192711025519e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.358 Order of pole = 11.57 TOP MAIN SOLVE Loop x[1] = 0.963 y[1] (analytic) = 1.7665179872920357046014252175807 y[1] (numeric) = 1.7665179872920357046014252175802 absolute error = 5e-31 relative error = 2.8304268826974668619599115025475e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.358 Order of pole = 11.57 TOP MAIN SOLVE Loop x[1] = 0.964 y[1] (analytic) = 1.7672168609904236911758649621942 y[1] (numeric) = 1.7672168609904236911758649621937 absolute error = 5e-31 relative error = 2.8293075458762807281849303696931e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.358 Order of pole = 11.57 TOP MAIN SOLVE Loop x[1] = 0.965 y[1] (analytic) = 1.7679150045172862656177911356965 y[1] (numeric) = 1.767915004517286265617791135696 absolute error = 5e-31 relative error = 2.8281902621021117940919950852071e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.358 Order of pole = 11.57 TOP MAIN SOLVE Loop memory used=431.0MB, alloc=4.5MB, time=18.09 x[1] = 0.966 y[1] (analytic) = 1.768612416090399635278633248684 y[1] (numeric) = 1.7686124160903996352786332486835 absolute error = 5e-31 relative error = 2.8270750304087164388343415503392e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.358 Order of pole = 11.57 TOP MAIN SOLVE Loop x[1] = 0.967 y[1] (analytic) = 1.7693090939282690720684608385591 y[1] (numeric) = 1.7693090939282690720684608385586 absolute error = 5e-31 relative error = 2.8259618498308068187589910720952e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.358 Order of pole = 11.57 TOP MAIN SOLVE Loop x[1] = 0.968 y[1] (analytic) = 1.7700050362501372851676610940716 y[1] (numeric) = 1.7700050362501372851676610940711 absolute error = 5e-31 relative error = 2.8248507194040545713138611710343e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.358 Order of pole = 11.58 TOP MAIN SOLVE Loop x[1] = 0.969 y[1] (analytic) = 1.7707002412759927981380936112559 y[1] (numeric) = 1.7707002412759927981380936112554 absolute error = 5e-31 relative error = 2.8237416381650945085423813982443e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.358 Order of pole = 11.58 TOP MAIN SOLVE Loop x[1] = 0.97 y[1] (analytic) = 1.7713947072265783303746574606279 y[1] (numeric) = 1.7713947072265783303746574606274 absolute error = 5e-31 relative error = 2.8226346051515283001842210017115e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.358 Order of pole = 11.58 TOP MAIN SOLVE Loop x[1] = 0.971 y[1] (analytic) = 1.772088432323399182838094167464 y[1] (numeric) = 1.7720884323233991828380941674635 absolute error = 5e-31 relative error = 2.8215296194019281464007308586074e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.358 Order of pole = 11.58 TOP MAIN SOLVE Loop x[1] = 0.972 y[1] (analytic) = 1.7727814147887316280097391653438 y[1] (numeric) = 1.7727814147887316280097391653433 absolute error = 5e-31 relative error = 2.8204266799558404401436974901414e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.358 Order of pole = 11.58 TOP MAIN SOLVE Loop x[1] = 0.973 y[1] (analytic) = 1.7734736528456313040088237801352 y[1] (numeric) = 1.7734736528456313040088237801347 absolute error = 5e-31 relative error = 2.8193257858537894191860022001886e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.358 Order of pole = 11.58 memory used=434.8MB, alloc=4.5MB, time=18.25 TOP MAIN SOLVE Loop x[1] = 0.974 y[1] (analytic) = 1.7741651447179416128128198394523 y[1] (numeric) = 1.7741651447179416128128198394518 absolute error = 5e-31 relative error = 2.8182269361372808078327734285353e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.358 Order of pole = 11.58 TOP MAIN SOLVE Loop x[1] = 0.975 y[1] (analytic) = 1.7748558886303021225212095835512 y[1] (numeric) = 1.7748558886303021225212095835506 absolute error = 6e-31 relative error = 3.3805561558185665379979383418853e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.358 Order of pole = 11.58 TOP MAIN SOLVE Loop x[1] = 0.976 y[1] (analytic) = 1.7755458828081569736029546798562 y[1] (numeric) = 1.7755458828081569736029546798557 absolute error = 5e-31 relative error = 2.8160353660318429220004899315551e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.358 Order of pole = 11.59 TOP MAIN SOLVE Loop x[1] = 0.977 y[1] (analytic) = 1.7762351254777632890678298170416 y[1] (numeric) = 1.7762351254777632890678298170411 absolute error = 5e-31 relative error = 2.8149426437308651600918260108116e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.358 Order of pole = 11.59 TOP MAIN SOLVE Loop x[1] = 0.978 y[1] (analytic) = 1.7769236148661995885016785780297 y[1] (numeric) = 1.7769236148661995885016785780292 absolute error = 5e-31 relative error = 2.8138519619913400444114196699988e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.358 Order of pole = 11.59 TOP MAIN SOLVE Loop x[1] = 0.979 y[1] (analytic) = 1.7776113492013742059055420666157 y[1] (numeric) = 1.7776113492013742059055420666152 absolute error = 5e-31 relative error = 2.8127633198597349977106889205390e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.358 Order of pole = 11.59 TOP MAIN SOLVE Loop x[1] = 0.98 y[1] (analytic) = 1.7782983267120337112785040918675 y[1] (numeric) = 1.778298326712033711278504091867 absolute error = 5e-31 relative error = 2.8116767163835205638708360810439e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.358 Order of pole = 11.59 TOP MAIN SOLVE Loop memory used=438.7MB, alloc=4.5MB, time=18.41 x[1] = 0.981 y[1] (analytic) = 1.7789845456277713358839906001784 y[1] (numeric) = 1.7789845456277713358839906001779 absolute error = 5e-31 relative error = 2.8105921506111739778974668967136e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.357 Order of pole = 11.59 TOP MAIN SOLVE Loop x[1] = 0.982 y[1] (analytic) = 1.7796700041790354011391554890438 y[1] (numeric) = 1.7796700041790354011391554890432 absolute error = 6e-31 relative error = 3.3714115459106192708930503198155e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.357 Order of pole = 11.59 TOP MAIN SOLVE Loop x[1] = 0.983 y[1] (analytic) = 1.7803547005971377510668799414652 y[1] (numeric) = 1.7803547005971377510668799414646 absolute error = 6e-31 relative error = 3.3701149540524577127806352152802e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.357 Order of pole = 11.59 TOP MAIN SOLVE Loop x[1] = 0.984 y[1] (analytic) = 1.7810386331142621882498079875326 y[1] (numeric) = 1.7810386331142621882498079875321 absolute error = 5e-31 relative error = 2.8073506700172887093456214619165e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.357 Order of pole = 11.59 TOP MAIN SOLVE Loop x[1] = 0.985 y[1] (analytic) = 1.7817217999634729132257371323507 y[1] (numeric) = 1.7817217999634729132257371323502 absolute error = 5e-31 relative error = 2.8062742455654440681368707723545e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.357 Order of pole = 11.59 TOP MAIN SOLVE Loop x[1] = 0.986 y[1] (analytic) = 1.7824041993787229672635795892269 y[1] (numeric) = 1.7824041993787229672635795892264 absolute error = 5e-31 relative error = 2.8051998540750780555680939420869e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.357 Order of pole = 11.59 TOP MAIN SOLVE Loop x[1] = 0.987 y[1] (analytic) = 1.7830858295948626784590069260715 y[1] (numeric) = 1.783085829594862678459006926071 absolute error = 5e-31 relative error = 2.8041274946007824549993852630828e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.357 Order of pole = 11.59 TOP MAIN SOLVE Loop x[1] = 0.988 y[1] (analytic) = 1.7837666888476481110887887734196 y[1] (numeric) = 1.7837666888476481110887887734191 absolute error = 5e-31 relative error = 2.8030571661981804471270736527757e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.357 Order of pole = 11.59 TOP MAIN SOLVE Loop memory used=442.5MB, alloc=4.5MB, time=18.57 x[1] = 0.989 y[1] (analytic) = 1.784446775373749518162734656515 y[1] (numeric) = 1.7844467753737495181627346565145 absolute error = 5e-31 relative error = 2.8019888679239300991289497938679e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.357 Order of pole = 11.59 TOP MAIN SOLVE Loop x[1] = 0.99 y[1] (analytic) = 1.7851260874107597971120470036251 y[1] (numeric) = 1.7851260874107597971120470036246 absolute error = 5e-31 relative error = 2.8009225988357278437865823479804e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.357 Order of pole = 11.59 TOP MAIN SOLVE Loop x[1] = 0.991 y[1] (analytic) = 1.785804623197202948552792950314 y[1] (numeric) = 1.7858046231972029485527929503135 absolute error = 5e-31 relative error = 2.7998583579923119486032010122218e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.357 Order of pole = 11.59 TOP MAIN SOLVE Loop x[1] = 0.992 y[1] (analytic) = 1.7864823809725425380631027069082 y[1] (numeric) = 1.7864823809725425380631027069077 absolute error = 5e-31 relative error = 2.7987961444534659749356161940093e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.357 Order of pole = 11.6 TOP MAIN SOLVE Loop x[1] = 0.993 y[1] (analytic) = 1.7871593589771901609126029859601 y[1] (numeric) = 1.7871593589771901609126029859595 absolute error = 6e-31 relative error = 3.3572831487360266725903643069513e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.357 Order of pole = 11.6 TOP MAIN SOLVE Loop x[1] = 0.994 y[1] (analytic) = 1.7878355554525139096824953002546 y[1] (numeric) = 1.787835555452513909682495300254 absolute error = 6e-31 relative error = 3.3560133546406382302565283539391e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.357 Order of pole = 11.6 TOP MAIN SOLVE Loop x[1] = 0.995 y[1] (analytic) = 1.7885109686408468447145908419246 y[1] (numeric) = 1.788510968640846844714590841924 absolute error = 6e-31 relative error = 3.3547459899335219606728047307722e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.357 Order of pole = 11.6 TOP MAIN SOLVE Loop x[1] = 0.996 y[1] (analytic) = 1.7891855967854954673275161416205 y[1] (numeric) = 1.7891855967854954673275161416199 absolute error = 6e-31 relative error = 3.3534810534914768186596452233960e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.356 Order of pole = 11.6 TOP MAIN SOLVE Loop memory used=446.3MB, alloc=4.5MB, time=18.73 x[1] = 0.997 y[1] (analytic) = 1.7898594381307481957382067855272 y[1] (numeric) = 1.7898594381307481957382067855266 absolute error = 6e-31 relative error = 3.3522185441925766874810101092529e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.356 Order of pole = 11.6 TOP MAIN SOLVE Loop x[1] = 0.998 y[1] (analytic) = 1.7905324909218838436267101394027 y[1] (numeric) = 1.7905324909218838436267101394021 absolute error = 6e-31 relative error = 3.3509584609161744583686119793823e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.356 Order of pole = 11.6 TOP MAIN SOLVE Loop x[1] = 0.999 y[1] (analytic) = 1.7912047534051801012822222948133 y[1] (numeric) = 1.7912047534051801012822222948127 absolute error = 6e-31 relative error = 3.3497008025429060982178646568492e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.356 Order of pole = 11.6 Finished! diff ( y , x , 1 ) = expt ( 2.0 , sin ( x ) ) * cos ( x ) * ln ( 2.0 ) ; Iterations = 900 Total Elapsed Time = 18 Seconds Elapsed Time(since restart) = 18 Seconds Time to Timeout = 2 Minutes 41 Seconds Percent Done = 100.1 % > quit memory used=447.7MB, alloc=4.5MB, time=18.79